Calculate the p-value for each of the given hypothesis test scenarios below. Round p-values to four decimal places. • Find the p-value for a left-tailed test of hypothesis for a mean when the test statistic has been calculated as -1.03. Assume the population standard deviation is known. p-value • Find the p-value for a right-tailed test of hypothesis for a mean when the test statistic has been calculated as 2.58. Assume the population standard deviation is known. p-value • Find the p-value for a two-tailed test of hypothesis for a proportion when the test statistic has been calculated as 1.91. p-value = Find the p-value for a two-tailed test of hypothesis for a proportion when the test statistic has been calculated as - 1.16. p-value =
Answers
The p-value of ay distribution given can be calculated using the formula P(Z < X) where X is any sample data.
To find the p-value for a left-tailed test of hypothesis for a mean when the test statistic has been calculated as -1.03, you can use the following formula:
p-value = P(Z < -1.03)
Where Z is the standard normal distribution. You can use a z-table or a calculator to find the probability that a standard normal random variable is less than -1.03. The resulting p-value will be the probability that the test statistic is as extreme or more extreme than the observed value, given that the null hypothesis is true.
To find the p-value for a right-tailed test of hypothesis for a mean when the test statistic has been calculated as 2.58, you can use the following formula:
p-value = P(Z > 2.58)
Where Z is the standard normal distribution. You can use a z-table or a calculator to find the probability that a standard normal random variable is greater than 2.58. The resulting p-value will be the probability that the test statistic is as extreme or more extreme than the observed value, given that the null hypothesis is true.
To find the p-value for a two-tailed test of hypothesis for a proportion when the test statistic has been calculated as 1.91, you can use the following formula:
p-value = 2 * P(Z > 1.91)
Where Z is the standard normal distribution. You can use a z-table or a calculator to find the probability that a standard normal random variable is greater than 1.91. The resulting p-value will be twice this probability, since the test is two-tailed and we need to consider both tails of the distribution.
To find the p-value for a two-tailed test of hypothesis for a proportion when the test statistic has been calculated as -1.16, you can use the following formula:
p-value = 2 * P(Z < -1.16)
Where Z is the standard normal distribution. You can use a z-table or a calculator to find the probability that a standard normal random variable is less than -1.16. The resulting p-value will be twice this probability, since the test is two-tailed and we need to consider both tails of the distribution.
Note that in all of these cases, you need to assume that the population standard deviation is known. If the population standard deviation is not known, you will need to use a different test statistic and a different approach to calculate the p-value.
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Related Questions
What value of “w” makes this proportion true?
0.6/1.6 = w/1.2
Answers
Answer:
w=0.45
Step-by-step explanation:
0.6/1.6=w/1.2
=>w=1.2 x 0.6/1.6
=>w=0.45
money in a bank account grows continuously at an annual rate of r (assume r is the interest rate in decimal form). (a) write a differential equation satisfied by m, the amount of money in the account at time t, measured in years since 2010. dm dt
Answers
Given the interest rate r in decimal form, the differential equation that describes the amount of money at time t is dm/dt = r m, and its solution is m = M e^(rt) where M is the initial amount of money.
A differential equation is an equation that contains derivative(s) of the involved variables.
In the given problem, let:
m = the amount of money at time t
t = time periods (measured in years since 2010
r = interest rate in decimal
the increment of money is equal to interest rate times the amount of money at that time instant.
Hence,
dm/dt = r m
(1/m) dm = r dt
Take the integrals on both sides:
ln m = rt
m = M e^(rt)
Where:
M = initial amount of money.
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find x
give your answer to 3 significant fingers
Answers
Answer:
1.64
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6.6^2 + x^2 = 6.8^2
43.56+x^2=46.24
Subtract 43.56 from each side
x^2 = 46.24-43.56
x^2 =2.68
Take the square root of each side
sqrt(x^2) = sqrt(2.68)
x =1.637080554
To 3 significant digits
x = 1.64
Answer:
Step-by-step explanation:
x = 1.637 mm
Pythagorean theorem:We can use Pythagorean theorem, to find the unknown side for a right angled triangle.
The side opposite to 90 is the longest side and it is the hypotenuse.
Base² + altitude² = hypotenuse²
x² + 6.6² = 6.8²
x² + 43.56 = 46.24
x² = 46.24 - 43.56
x² = 2.68
x = √2.68
\(\sf \boxed{\bf x = 1.637 \ mm }\)
An airplane is traveling due east at a speed of 700mph. The wind is blowing at a speed of 80mph at an angle of 63° East of South.
Find the component form of the path the airplane will actually travel (Round to the nearest tenth). Then find the resultant vector magnitude (Round to the nearest tenth) and direction (Round to the nearest degree.
Answers
The component form of the path the airplane will actually travel is (635.2 mph, -42.3 mph), the resultant vector magnitude is approximately 639.5 mph, and the resultant vector direction is approximately -3.0°.
What is the component form of the path the airplane will actually travel?To find the component form of the path the airplane will actually travel, we need to consider the effect of the wind on the airplane's motion.
Let's break down the airplane's velocity and the wind's velocity into their respective horizontal (x) and vertical (y) components.
Given:
Airplane's velocity = 700 mph due east
Wind's velocity = 80 mph at an angle of 63° East of South
The horizontal component of the airplane's velocity remains unchanged since it is traveling due east. Therefore, the horizontal component is 700 mph.
The wind's velocity can be resolved into its x and y components as follows:
Wind's horizontal component = wind's speed * cos(angle)
Wind's vertical component = wind's speed * sin(angle)
Wind's horizontal component = 80 mph * cos(63°)
Wind's vertical component = 80 mph * sin(63°)
Now, we can calculate the resultant vector of the airplane's motion by adding the horizontal components and the vertical components separately.
Resultant horizontal component = Airplane's horizontal component + Wind's horizontal component
Resultant vertical component = Airplane's vertical component + Wind's vertical component
Resultant horizontal component = 700 mph + (80 mph * cos(63°))
Resultant vertical component = 0 + (80 mph * sin(63°))
Next, we can express the resultant vector in component form:
Resultant vector = (Resultant horizontal component, Resultant vertical component)
To find the magnitude of the resultant vector, we can use the Pythagorean theorem:
Resultant magnitude = sqrt((Resultant horizontal component)^2 + (Resultant vertical component)^2)
Finally, we can find the direction of the resultant vector by calculating the angle it makes with the positive x-axis using the inverse tangent:
Resultant direction = tan⁻¹(Resultant vertical component / Resultant horizontal component)
Now, let's calculate the values:
Resultant horizontal component ≈ 635.2 mph
Resultant vertical component ≈ -42.3 mph
Resultant magnitude ≈ 639.5 mph
Resultant direction ≈ -3.0° (rounded to the nearest degree)
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Twelve cards are numbered from 1 to 12 and placed in a box. One card is selected at random and not replaced. Another is randomly selected. What is the probability of selecting two even numbers?
Answers
In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:
In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).
The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22
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Naomi's electricity costs depend on the number of kilowatt hours she uses, as shown in the graph below. According to this graph, which expression can be used to calculate her electricity cost after using x kilowatt hours?
A. 0.06x + 40
B. 0.08x + 20
C. 0.1x + 10
D. 0.12x
Answers
Answer:
b. 0.08x + 20
Step-by-step explanation:
its B because the price goes up $40 every 500 KW's so
40 divided by 500 = 0.08
The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
From the graph we have, (500, 60), (1000, 100), (1500, 140) and (2000, 180).
We know that, slope of a line is Slope=(y2-y1)/(x2-x1)
= (100-60)/500
= 40/500
= 0.08
Substitute m=0.08 and (x, y)=(500, 60) in y=mx+c, we get
60=0.08(500)+c
60=40+c
c=20
Substitute m=0.08 and c=20 in y=mx+c, we get
y=0.08x+20
The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.
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the angel of elevation from a ball on a football field to the top of a 30 foot tall goal post 16 degree 42'. How far is the football from the base of the goal post? Round to the nearest tenth of a foot.
Answers
The football is approximately 96.4 feet from the base of the goal post.
What is tangent function?The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:
tan(theta) = opposing / adjacent.
When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.
Given, the angle of elevation is 16 degrees 42'.
That is,
Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees
Using tangent function we have:
tan(16.7) = 30/x
x = 30 / tan(16.7)
x = 96.4 feet
Hence, the football is approximately 96.4 feet from the base of the goal post.
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There are 1100 students at school.
540 students are girls, the rest are boys.
1/10 of girls are left handed.
1/8 of the boys are left handed.
Work out the number of left handed students in the school.
Answers
Answer:
54 girls are left handed.
70 boys are left handed.
70+54 = 124 left handed students in the school
Step-by-step explanation:
The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answers
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
9. If DF = 61 and EF = 18, find DE.
10. If DE=4x-1, EF = 9, and DF = 9x-22, find
the value of x.
D
11. If DF = 78, DE = 5x-9, and EF = 2x + 10, find EF.
12. If DE= 4x + 10, EF=2x-1, and DF = 9x-15, find DF.
Answers
The obtained answers for the given line segments are as follows:
9. The value of the line segment \(\overline {DE}\) = 43; Where \(\overline { DF}\) = 61 and \(\overline {EF}\)
10. The value of x is 6; Where \(\overline {DE}\) = 4x - 1, \(\overline {EF}\) = 9, and \(\overline { DF}\) = 9x - 22
11. The value of line segment \(\overline {EF}\) = 32; Where \(\overline { DF}\) = 78, \(\overline {DE}\) = 5x - 9, and \(\overline {EF}\) = 2x + 10
12. The value of line segment \(\overline { DF}\) = 57; Where \(\overline {DE}\) = 4x + 10 \(\overline {EF}\) = 2x - 1, and \(\overline { DF}\) = 9x - 15.
What is a line segment?A line segment is a part of a line formed by infinite points with two endpoints at both ends. The line segment is represented by the two endpoints.A line segment has a finite length.Calculation:The calculation for the required values is as follows:
9. Finding \(\overline{DE}\):
It is given that,
\(\overline{DF}\) = 61; \(\overline{EF}\) = 18
From the figure, we can write
\(\overline{DF} = \overline{DE} + \overline{EF}\)
On substituting the given values,
61 = \(\overline{DE}\) + 18
⇒ \(\overline{DE}\) = 61 - 18
∴ \(\overline{DE}\) = 43
10. Finding x:
It is given that,
\(\overline {DE}\) = 4x - 1, \(\overline {EF}\) = 9, and \(\overline { DF}\) = 9x - 22
From the figure we have
\(\overline{DF} = \overline{DE} + \overline{EF}\)
On substituting,
(9x - 22) = (4x - 1) + 9
⇒ 9x - 22 = 4x - 1 + 9
⇒ 9x - 4x = 8 + 22
⇒ 5x = 30
∴ x = 6
11. Finding \(\overline{EF}\):
It is given that,
\(\overline { DF}\) = 78, \(\overline {DE}\) = 5x - 9, and \(\overline {EF}\) = 2x + 10
From the figure we have
\(\overline{DF} = \overline{DE} + \overline{EF}\)
On substituting,
78 = (5x - 9) + (2x + 10)
⇒ 78 = 5x - 9 + 2x + 10
⇒ 7x + 1 = 78
⇒ 7x = 78 - 1
⇒ 7x = 77
∴ x = 11
On substituting x = 11 in \(\overline {EF}\) = 2x + 10; we get
\(\overline {EF}\) = 2(11) + 10
= 22 + 10
= 32
Therefore, the value of the line segment \(\overline {EF}\) is 32.
12. Finding \(\overline {DF}\):
It is given that,
\(\overline {DE}\) = 4x + 10 \(\overline {EF}\) = 2x - 1, and \(\overline { DF}\) = 9x - 15
From the figure we have
\(\overline{DF} = \overline{DE} + \overline{EF}\)
On substituting,
(9x - 15) = (4x + 10) + (2x - 1)
⇒ 9x - 15 = 4x + 10 + 2x - 1
⇒ 9x - 15 = 6x + 9
⇒ 9x - 6x = 9 + 15
⇒ 3x = 24
∴ x = 8
On substituting x = 8 in \(\overline { DF}\) = 9x - 15; we get
\(\overline { DF}\) = 9(8) - 15
= 72 - 15
= 57
Therefore, the value of the line segment \(\overline { DF}\) is 57.
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SOMEONE PLEASE ANSWER. I'M CRYING AND DONT KNOW WHAT TO DO! I NEED YOUR HELP PLEASE!
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed. Part A: Find the constant of proportionality. Show every step of your work. Part B: Write an equation that represents the relationship. Show every step of your work. Part C: Describe how you would graph the relationship. Use complete sentences. Part D: How many gallons of water are needed for 12 scoops of drink mix?
Answers
Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.
What is the fundamental formula for a straight line?The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.
The point where the graph crosses the y-axis is called the y-intercept, or c.
Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x
OR
y₁/x₁ = y₂/x₂
In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,
1 1/4 gallons of water are required.
The proportional formula is written as y = k x.
Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.
1.25 gallon of water is required for 6 scoops.
This means that k = 2/0.5
k = 2/(1/2)
k = 2 x 2
k= 4
Equations describing the relationship can be expressed as y = 4x + c.
0.5 gallon of water is now required for 2 scoops.
2=4(1/2)+c
2=2+c
c=0
Therefore, the formula will be y = 4x.
The end includes a graph for y = 4x.
12 scoops of water:
12=4x
x=3 gallons of water is needed.
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HELP PLS ASAPPP!!!
algebra problem; solving linear inequalities !!! :)
Answers
Answer: x = -3/2
Step-by-step explanation:
The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions? Give your answer in. meters( Math in focus singapore math course 1 B)
Answers
Answer:
The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.
In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:
C = pi x d = 3.14 x 60 = 188.4 centimeters
When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:
distance = 35 x circumference = 35 x 188.4 = 6584 centimeters
We can convert centimeters to meters by dividing the distance by 100:
distance = 6584 ÷ 100 = 65.84 meters
Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.
Need help with top problem. Maybe bottom too
Answers
1) The area of a circle circumscribed about a square is 307.7 cm².
2.a.) The angle ACB is 39 degrees.°.
2b.) The value of x is 5.42.
How to determine the area of a circle?We shall find the radius to determine the area of a circle.
First, find the side length of the square:
Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.
Next, find the diagonal of the square, using the Pythagorean theorem:
Diagonal = the diameter of the circumscribed circle.
Diagonal² = side length² + side length²
= 14 cm² + 14 cm²
= 196 cm² + 196 cm²
= 392 cm²
Take the square root of both sides:
Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)
Then, the radius of the circle which is half the diagonal:
Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)
Finally, compute the area of the circle using the formula:
Area = π * Radius²
Area = 3.14 * (9.90 cm)²
Area ≈ 307.7 cm² (rounded to two decimal places)
Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².
2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.
Given that arc AB has a measure of 78°, we can find angle ACB as follows:
Angle ACB = 1/2 * arc AB
= 1/2 * 78°
= 39°
Therefore, the angle ACB is 39 degrees.
2b.) To solve for the value of x, we use the information that the angle ADB = (3x - 12)⁴.
Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:
(3x - 12)⁴ = 78
Solve the equation for x, by taking the fourth root of both sides:
∛∛((3x - 12)⁴) = ∛∛78
Simplify,
3x - 12 = ∛(78)
Isolate x by adding 12 to both sides:
3x - 12 + 12 = ∛(78) + 12
3x = ∛(78) + 12
Finally, divide both sides by 3:
x = (∛(78) + 12) / 3
x = (4.27 +12) / 3
x = 5.42
So, x is 5.42
Therefore,
1) The area of the circle is 154 cm².
2a.) Angle ACB is equal to 102°.
2b.) The value of x is 5.42
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A service club agrees to donate at least 500 hours of community service. A full member is to give 4 hours, and a pledge gives 6 hours.
(a) Write the inequality that expresses this information.
(b) Graph the inequality.
Answers
(a) 4x + 6y ≥ 500 , (b) The graph of this inequality is a line with a slope of 4/6 and a y-intercept of 500/6.
(a) The inequality expresses the total hours of community service that must be given, which is at least 500 hours. The 4x term represents the hours given by the full members, and the 6y term represents the hours given by the pledges. The ≥ symbol means that the sum of these two terms must be greater than or equal to 500.
(b) To graph the inequality, you first need to find the y-intercept, which is 500/6. Then you need to find the slope, which is 4/6. This means that the line has a positive slope and passes through the point (0, 500/6). The graph of the inequality is a line that passes through this point and has a positive slope of 4/6.
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The length of a shadow of a building is 28m . The distance from the top of the building to the tip of the shadow is 38m. Find the height of the building
Answers
Answer:
The height of the building is 2√165 (m)
Step-by-step explanation:
You can imagine that the distance from the top of the building to the tip of the shadow is like hypotenuse, the length of a shadow of a building is like squared angle edge
Assume the height of the building is x
According to Pythagorean theorem:
28^2 + x^2 = 38^2
x^2 = 38^2 - 28^2
x = √(38^2 - 28^2)
x= 2√165 (m)
Lines that appear to be tangent are tangent. O is the center of each circle.
What is the value of x? Show all work to receive full credit.
Answers
Note that in the prompt above, the value of x is given as: 16°
To answer the issue, we will first name all of the points supplied to us on the isosceles triangle, then identify O, and last discover the value of x. See the attached image.
What is an isosceles triangle?As a result, an isosceles triangle has two equal sides and two equal angles. The term is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.
In ΔAOB
OA = OB = R, the radius of the circle O,
therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.
Thus, ∠OAB = ∠OBA = 53°
Sum of all the angles of a triangle = 180°
∠O + ∠AOB + ∠OBA = 180°
We know ∠AOB = ∠OBA, therefore,
∠O + 2(∠AOB) = 180°
∠O + 2(53°) = 180°
∠O = 180 - 106
∠O = 74°
In ΔOBC,
BC is the tangent to the circle O, therefore,
∠OBC = 90°
Sum of all the angles of a triangle = 180°
∠O + ∠OBC + ∠OCB = 180°
74° + 90° + ∠OCB = 180°
∠OCB = 180° - 74° - 90°
∠OCB = 16°
Hence, the value of x is 16°.
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B. What is each piece measurement if the angle is cut into 9 equal
lengths? Kerf width is 0.125.
Answers
Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.
Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.
What is an Angle?
An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths
To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:
Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.
Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees
Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees
Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
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Si 10 obreros construyen un consultorio médico en 12 dias.¿Con cuántos obreros se hará la misma obra en 15 dias?
Answers
A total of 8 workers are required for a building time of 15 days.
How many workers are needed to complete a building?
In this problem we find a case of inverse relationship, in which the number of workers (n) is inversely proportional to building time (t), in hours. The situation is represented by following formulas:
n ∝ 1 / t
n = k / t
Where k is the proportionality ratio, which can be eliminated by building the following formula:
n₁ · t₁ = n₂ · t₂
If we know that n₁ = 10, t₁ = 12 and t₂ = 15, then the required number of workers is:
n₂ = n₁ · (t₁ / t₂)
n₂ = 10 · (12 / 15)
n₂ = 10 · (4 / 5)
n₂ = 8
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find the value of x,y,z 107
Answers
Answer:
Step-by-step explanation:
x*y*z = 107
x y ≠ 0, z = 107/(x y)
x = -1, y = -107, z = 1
x = -107, y = 1, z = -1
x = -107, y = -1, z = 1
The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
Answers
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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17 ounces of canned beets for 3 .23 please show the division equation
Answers
The cost of the 1 ounces of canned beets is,
⇒ 3.23 / 17
⇒ 0.19
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
⇒ 17 ounces of canned beets for 3.23.
Hence, We get;
The cost of the 1 ounces of canned beets is,
⇒ 3.23 ÷ 17
⇒ 3.23 / 17
⇒ 0.19
Therefore, The cost of the 1 ounces of canned beets is,
⇒ 0.19
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emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?
Answers
(c) 15i + 4b ≥ 100 inequality represents this scenario.
To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:
Total cost = 8x + 18y
We want to know when this total cost is less than or equal to $100, so we can write:
8x + 18y ≤ 100
This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.
Correct Question :
Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?
a) 4i+100 ≤ 15b
b) 15i + 4b ≤ 100
c) 15i + 4b ≥ 100
d) 4i + 15b ≤ 100
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Does anyone know how to do this ?
Answers
Answer:
w=3 h=4
Step-by-step explanation:
14=2w+2h w=(3/4)h
substitute
14=2(3/4)h+2h
distribute
14=1.5h+2h
simplify
14=3.5h
divide both sides by 3.5
4=h
plug into original equation
w=(3/4)4
w=3
The following shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and area of the shaded part. Give your answer as a completely simplified exact value in terms of pi. (no approximations) FIRST PERSON TO ANSWER GETS 100 POINTS
Answers
Answer:
Perimeter = 8π cm
Area = (32π - 64) cm²
Step-by-step explanation:
ABCD is a square.
Therefore:
AB = BC = CD = DA = 8 cmArea = 8 × 8 = 64 cm²PerimeterThe perimeter of the shaded part is the sum of two congruent quarter circles, i.e. half the length of the circumference.
The arcs AC are quarter circles of a circle with radius 8 cm.
Therefore the perimeter of the shaded area is:
\(\implies \sf Perimeter=Half\;circumference=\dfrac{1}{2} \cdot 2\pi r=\pi r=8\pi\;cm\)
AreaTo find the area of the shaded area, subtract the two unshaded areas from the area of the square.
As the two unshaded areas are congruent we only need to find the area of one unshaded area.
The area of one unshaded area is the area of the square minus the area of the sector ADC (which is a quarter of a circle with radius 8 cm).
\(\begin{aligned}\implies \textsf{Area of one unshaded area}&=\textsf{Area of square}-\textsf{Area of $\frac{1}{4}$ circle}\\&=64-\dfrac{1}{4} \pi r^2\\&=64-\dfrac{1}{4} \pi \cdot 8^2\\&=64-\dfrac{1}{4} \pi \cdot 64\\&=(64-16 \pi)\; \sf cm^2\end{aligned}\)
Now we have found the area of one unshaded area, to calculate the area of the shaded area simply subtract two unshaded areas from the area of the square:
\(\begin{aligned}\implies \textsf{Shaded area}&=64-2(64-16\pi)\\&=64-128+32\pi\\&=(32\pi-64)\; \sf cm^2 \end{aligned}\)
Solve for x: −3x + 3 −1
x −3
Answers
plz help me
is 7/3 less than 6
Answers
Answer:
yes
Step-by-step explanation:
I figured this out by determining how many times 3 fits into 7.
7/3 is equal to 2 and 1/3
2 1/3 < 6
Hope this helps <3
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If you earn $15 an hour and you work 20 hours a week, how much do you earn a month?
Answers
The radius of a circle is 3 feet. What is the length of a 75° arc?
Answers
Therefore , the solution of the given problem of circle comes out to be arc length 3.93 feet.
How do circles work?Every area of the plane that is separated by a specific amount from this additional point makes a circle (center). As a result, it is a curve made up of spots that are separated from one another on the surface. Additionally, it rotates similarly about the centre at every angle. Every collection of endpoints in the confined, two-dimensional sphere of a circle is uniformly spaced apart from the "centre."
Here,
A circle with a radius of 3 feet is equal to its diameter as follows:
=> C = 2πr = 2π(3) = 6π feet
Since there are 360° of angles in a circle's centre, the angle for a 75° curve is:
5/24 of a complete circle is 75/360.
Therefore, the 75° arc's extent is
5/24 × 6π = 5π/4 ≈ 3.93 feet
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What is the slope of the line
Answers
Answer:
The slope of the line is the ratio of the rise to the run, or rise divided by the run.
Step-by-step explanation:
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