Answer:
x=4
Step-by-step explanation:
\( \frac{5}{6} - \frac{x}{10} = \frac{26}{60} \\ \\ \frac{50}{60} - \frac{6x}{60} = \frac{26}{60} \\ \\ 50 - 6x = 26 \\ \\ - 6x = 26 - 50 \\ \\ - 6x = - 24 \\ \\ x = 4 \: \\ \)
Help will give Brainly points
it takes electricians 36 days to wire a new housing subdivision. how many days would 32 electricians take to do the same job?
Answer:
The 32 electricians will take 1 day and 3 hours to complete the wiring.
Step-by-step explanation:
Since it takes electricians 36 days to wire a new housing subdivision, to determine how many days would 32 electricians take to do the same job the following calculation must be performed:
36/32 = X
1.125 = X
1 = 24
0.125 = X
0.125 x 24 = X
3 = X
Therefore, the 32 electricians will take 1 day and 3 hours to complete the wiring.
Cedric applied the rule to figure WXYZ.
Figure W X Y Z is reflected across the line of reflection m to form W prime X prime Y prime Z prime. Figure W prime X prime Y prime Z prime is rotated 180 degrees about point P to form W double-prime X double-prime Y double-prime Z double-prime.
What mistakes did he make? Select two options.
He applied the reflection to the pre-image first.
He applied the rotation to the pre-image first.
He changed the size of the figure instead of just applying a rotation.
He used point P as the center of rotation.
He used an incorrect angle of rotation around point P
The mistakes that were made regarding the transformation are:
He applied the reflection to the pre-image first.He used an incorrect angle of rotation around point PHow to illustrate the information?It should be noted that a transformation simply means the changing of the position of an object
In this case, the transformation is incorrect as he applied the reflection to the pre-image first and used an incorrect angle of rotation around point P.
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Is this correct? , if not can u help me
Answer:
Step-by-step explanation:
Yes that is absolutely correct according to me answer A
Answer: Yes, you are correct.
Step-by-step explanation:
At confidence, how large a sample should be taken to obtain a margin of error of for the estimation of a population proportion? assume that past data are not available for developing a planning value for. Round up to the next whole number.
At confidence, how large a sample should be taken to obtain a margin of error for the estimation of a population proportion? We now assume that past data are not available for developing a planning value for
Preliminary estimate for proportion (Not Known) is equal to 0.5
Margin of error = E = 0.03
Level of significance = 1-0.99 = 0.01
Z critical value is considered as (by using Z table) = 2.576
So, the sample size formula is taken as
n = [p(1 – p)]\(\left[Z/E]^{2}\)
=[0.5*(1-0.5)] [2.576/0.03]\(^{2}\)
=1,843.03
Hence, the sample size is approximately will be 1,844
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Logan wants to save 35% of his weekly paycheck he earns $125 a week how much does he plan to save each week enter the correct answer in the box
Answer:
35%
Step-by-step explanation:
Logan wants to save 35% of his weekly paycheck he earns $125 a week how much does he plan to save each week enter the correct answer in the box, he wants to save 35%, how much does he plan to save, 35% easy. JK its 125 - 81.25 which is $43.75.
The school play ran for 3 nights. 185 tickets were sold for the first night. 160 tickets were sold for the second night. 192 tickets were sold for the third night. The tickets cost $4 each. What information is NOT necessary to calculate the total amount of money raised from ticket sales?
A) 192 tickets were sold the for the third night.
B) The school play ran for 3 nights.
D) 185 tickets were sold for the first night.
C) The tickets cost $4 each.
Answer:B
Step-by-step explanation:
Becauee it already says the first night how many tickets were sold also on the second and the third night. And if someone read the equation they would have known that the play went in for three nights.
PLEASE HELP!! WORTH 69 POINTS
Answer: is 14 square feet bro
Step-by-step explanatio
Answer:
look at the picture i have sent. thanks for the points
the circumference of a circle is 110 cm . find its area
Answer:
It's about 962.89 cm^2
Answer:
962.89cm^2
Step-by-step explanation:
So, in this question, you have to find the radius of the circle because the area of a circle = πr^2. So first, you find r^2, and to do that, you divide 110 by π and you get 35.0140874802, now divide that by two and you get 17.5070437401 and that is your radius. Now, you do 17.5070437401 to the power of 2 (17.5070437401^2) and you get 306.496580518. Now multiply that by π and you get 962.89.
brainliest p l z
George had 1 sheet of paper. He cuts it into 6 inches by 5 inches, and 3 inches by 6 inches. What were the dimensions and total area of his original sheet of paper? Explain.
Answer:
48
Step-by-step explanation:
6 times 5 + 3 times 6
30+18equals 48
Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
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Given that gf (x) = 3x + 8 and f (x) = 6x + 2. Find g (x)
Answer:
g(x) = 1/2x + 7
Step-by-step explanation:
gf (x) = 3x + 8
f(x) = 6x + 2
Now 1/2 *( 6x + 2) + 7
= 3x + 1 + 7
= 3x + 8,
so g(x) = 1/2x + 7.
Solve for basic equation x2x+3=-3x-12
Solution
We have the following equation:
2x +3 = -3x-12
We can solve for x on this way:
5x = -12-3
5x = -15
Dividing both sides by 5 we got:
x= -3
what is the formula for the z statistic? (recall that m is the same as x-bar) (and that sem is the same things as sigma with a m subscript)
The formula for the z-statistic is (x - μ) / (σm) or (x - μ) / (s/√n) depending on known or unknown population standard deviation.
The formula for the z-statistic, which is used in hypothesis testing for a sample mean when the population standard deviation is known, is:
z = (x - μ) / (σm)
where x is the sample mean, μ is the population mean, and σm is the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean.
Alternatively, we can use the estimated standard error of the mean (s/√n) when the population standard deviation is unknown, and the formula for the z-statistic becomes:
z = (x - μ) / (s/√n)
where s is the sample standard deviation and n is the sample size.
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18. Use all four operations to complete the ratio table. Justify your answer.
Pumpkins Grown 4
10
Seeds Planted
12
This question can not be solved as it is incomplete. Still, i am adding some relevant information for your reference.
What is ratio?
In mathematics, ratios indicate the number of times one number contains another number. For example, if you have 8 oranges and 6 lemons in your fruit bowl, the ratio of oranges to lemons is 8 to 6 (that is, a ratio of 8:6, or 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to whole fruit is 8:14 (or 4:7).
A ratio number can be any kind of quantity, such as the number of people or things, length, weight, or time. In most contexts, both numbers are restricted to positive values.
This question can not be solved as it is incomplete. Still, i am adding some relevant information for your reference.
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pls help ill give brainliest
Answer:
(- 12, 10 )
Step-by-step explanation:
2x + 4y = 16 → (1)
- 2x - 3y = - 6 → (2)
add (1) and (2) term by term to eliminate x
0 + y = 10
y = 10
substitute y = 10 into (1) and solve for x
2x + 4(10) = 16
2x + 40 = 16 ( subtract 40 from both sides )
2x = - 24 ( divide both sides by 2 )
x = - 12
solution is (- 12, 10 )
Answer:
(- 12, 10 )
Step-by-step explanation:
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The mean June midday temperature in Desertville is 36°C and the standard deviation is 3°C.Assuming this data is normally distributed, how many days in June would you expect the midday temperature to be between 39°C and 42°C?
Answer:
The value is \(E(X) = 4 \ days\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 36^oC\)
The standard deviation \(\sigma = 3^oC\)
Generally the probability that in June , the midday temperature is between
39°C and 42°C is mathematically represented as
\(P(39 < X < 42) = P(\frac{39 - 36}{3} < \frac{X - \mu }{\sigma} < (\frac{42 - 36}{3} )\)
\(\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )\)
\(P(39 < X < 42) = P(1 < Z <2 )\)
=> \(P(39 < X < 42) = P(Z < 2) - P( Z <1 )\)
From the z table the area under the normal curve to the left corresponding to 1 and 2 is
P(Z < 2) = 0.97725
and
P(Z < 1) = 0.84134
\(P(39 < X < 42) = 0.97725 - 0.84134\)
=> \(P(39 < X < 42) = 0.13591\)
Generally number of days in June would you expect the midday temperature to be between 39°C and 42°C
\(E(X) = n * P(39 < X 42 )\)
Here n is the number of days in June which is n = 30
\(E(X) = 30 * 0.13591\)
=> \(E(X) = 4 \ days\)
John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.
Answer:
he could by 2 pounds and still have a dollar left over because
15 11 6
-4 -5 -5 so yeah
11 6 1
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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76,361 deliveries/hour =deliveries /week
we have the following:
\(1\text{week}=168\text{ hours}\)therefore:
\(76361\frac{d}{h}\cdot\frac{168\text{ h}}{1\text{ w}}=12828648\frac{d}{w}\)therefore, the answer is 12828648 deliveries /week
A computer randomly puts a point inside the rectangle. What is the probability
that the point does not land in triangle T?
Answer:
50%
Step-by-step explanation:
In this case we have to know the relationship between the rectangle and the triangle. The way to find out is through the areas, we know that:
The area of the rectangle = b * h
The area of the triangle = b * h / 2
If we divide, we would have:
(b * h / 2) / b * h = 1/2 = 0.5
That is, if the base and the height were equal, the probability would be 50%, if they are different, we would have to replace the values and thus find the probability.
The figure shows a vertical section through the
axis of a solid paper weight made in the shape of a right circular cone. Its height is 8 cm and the diameter of its base is 4 cm. The shaded portion is made of lead 2 cm thick while the unshaded portion is made of wood. The density of lead and wood are 11.3 g/cm and 0.9 g/cm respectively.
Find,
(i) the total volume of the paper weight,
(ii) the volume of the wooden portion,
(iii) the total mass of the paper weight.
Answer:
i. 33.51 cm³
ii. 14.14 cm³
iii. 231.61 g
Step-by-step explanation:
(i) the total volume of the paper weight,
Since the paper weight is in the form of a cone, its volume is the volume of a cone V = πD²h/12 where D = diameter of cone = 4 cm and h = height of cone = 8 cm
So, V = πD²h/12
V = π(4 cm)² × 8 cm/12
V = 16π cm² × 8 cm/12
V = 128π cm³/12
V = 402.124 cm³/12
V = 33.51 cm³
(ii) the volume of the wooden portion,
The volume of the wooden portion, V' = πr'²h'/3 where r' = radius of wooden portion and h' = height of wooden portion
From similar triangles in the figure, we have
height of wooden portion, h'/radius of wooden portion, r' = height of paper weight, h/radius of paper weight, r
h'/r' = h/r where r = D/2 where D =diameter of paper weight = 4 cm. So, r = 4 cm/2 = 2 cm
and h' = height of paper weight - height of lead portion = 8 cm - 2 cm = 6 cm
So,
r' = rh'/h = 2 cm × 6 cm/8 cm = 12 cm²/8 cm = 1.5 cm
So, V' = πr'²h'/3
V' = π(1.5 cm)² × 6 cm/3
V' = π2.25 cm² × 2 cm
V' = 4.5π cm³
V' = 14.14 cm³
(iii) the total mass of the paper weight.
The total mass of paper weight, m = mass of wooden portion + mass of lead portion = ρ'V' + ρ"V" where ρ' = density of wood = 0.9 g/cm³, V' = volume of wooden portion = , ρ" = density of lead = 11.3 g/cm³ and V" = volume of lead portion = V - V' = 33.51 cm³ - 14.14 cm³ = 19.37 cm³
So, m = 0.9 g/cm³ × 14.14 cm³ + 11.3 g/cm³ × 19.37 cm³
m = 12.726 g + 218.881 g
m = 231.607
m ≅ 231.61 g
pls help !
Solve the system using inverse
matrices.
(9x - 2y = 12
3x + 4y = 18
([? ],[ ])
The solved inverse matrices.
(9x - 2y = 12
3x + 4y = 18
([2],[3 ])
How to solve the system using inverse matrices?To solve a system of linear equations using inverse matrices, we can express the system in matrix form as follows:
[9 -2] [x] = [12]
[3 4] [y] [18]
Then we can find the inverse of the coefficient matrix, which is the matrix containing the coefficients of the variables in the system:
[9 -2]^⁻¹ = 1/((9)(4) - (-2)(3)) * [ 4 2]
[3 4] [ -3 9]
= 1/14 * [ 4 2] = [2/7 1/7]
[ -3 9] [-3/7 2/7]
We can then multiply both sides of the equation by the inverse matrix to obtain the solution:
[2/7 1/7] [9 -2] [x] = [2/7 1/7] [12]
[-3/7 2/7] [3 4] [y] [-3/7 2/7] [18]
[x] = [2/7 1/7]^-1 [2/7 1/7] [9 -2] [x]
[y] [-3/7 2/7] [-3/7 2/7] [3 4] [y]
[x] = [1 0] [9 -2] [x]
[y] [0 1] [3 4] [y]
This simplifies to the following system of equations:
9x - 2y = 12
3x + 4y = 18
Therefore in solving this system, we find that x = 2 and y = 3. So, the solution to the original system is (x, y) = (2, 3).
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What is the length of segment AB?
Consider the diagram.
07
09
O 18
O 25
The length of segment AB is,
AB = 9 units
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
In triangle ADC,
AC = 9
AD = 16
Hence, We have;
Line l is divide the base AC in two equal parts.
Hence,
⇒ AB = AC
This gives,
AB = 9 units.
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3. A contractor is building the base of a circular fountain. On the blueprint, the base of the
fountain has a diameter of 18 centimeters. The blueprint has a scale of three
centimeters to four feet. What will be the actual area of the base of the fountain, in
square feet, after it is built? Round your answer to the nearest tenth
of a square foot.
The actual area of the base of the fountain is,
⇒ 454.1 ft.
What is an expression?A Mathematical expression is defined as the collection of the numbers variables and functions by using sign like addition, subtraction, multiplication, and division.
Now, You can use a ratio to find the actual diameter as;
⇒ 18cm/3cm = x/4ft.
⇒ x/4 = 18/3
⇒ x/4 = 6
⇒ x = 6 × 4
⇒ x = 24 ft.
Then find the area using formula as;
A = πr²
A = π (9)²
A = 3.14 × 81
A = 452.4 ft.
Thus, The actual area is,
⇒ A = 454.1 ft.
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A cross-section of an irrigation canal is a parabola. If the surface of the water is 34 ft wide and the canal is deep at the center, how deep is it 9 ft from the edge?
Answer:
6.41 ft
Step-by-step explanation:
Equation is y=ax^2
y=15
x=16.5
15=a(16.5)^2
a=0.055
So, to get depth at 4 ft from edge, I assume my new x value is 12.5.
Derived from 16.5 - 4 = 12.5
So:
y= 0.055 * (12.5)^2
y = 8.59
To get depth, I assume subtract from center depth of 15ft.
15ft - 8.59ft = 6.41ft
Answer is 6.41ft.
After a baby was born, she began to gain weight at a rate of 1.5 pounds per month The weight of the baby at birth was 12 pounds. Write an equation for W, in terms of t, representing weight, in pounds, of the newborn baby t months after birth.
Answer:
W = 1.5t + 12
Step-by-step explanation:
i can give an explanation if you'd like!!
Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1
What are the approximate area and circumference, respectively, of a circle with a diameter of 30 inches?
Solution:
\(\searrow\)
Detailed explanation:
Here we need to find both the circumference and the area of a circle whose diameter is 30 in.
///\\\///\\\///\\\///\\\///\\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\////\\\\////\\\\///\\\///\\\///\\\///
⚜ Circumference ⚜
This is the formula that we use for the circumference. \(\large\texttt{$C=\pi d$}\).
Here, C is the circumference,
\(\pi\) is pi, *
d is the diameter
_____________
* The number pi is an irrational number. This means that no matter how hard we try, we cannot write this number as a fraction. The reason for that is: The number pi has never-ending digits after its decimal point.
To avoid getting never-ending numbers, we will use 3.14 for pi.
_____________
Alright, so now we just stick in the values.
\(\boldsymbol{C=3.14\cdot30}\)
\(\boldsymbol{C=94.2\:inches}\)
The circumference is successfully calculated.
///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\\///\\\///\\\///\\\//\\//\/\/\/\//\///\\//
⚜ Area ⚜
This is the formula we will use to work out the area.
\(---\mapsto\boldsymbol{A=\pi r^2}\)
Here,
A denotes the area
\(\pi\) denotes pi
r denotes the radius (30/2=15, because the diameter is always two times the radius)
\(\large\boldsymbol{\therefore,\;the\;radius\;is\;15}\)
Once again, it's just a matter of sticking in the values.
\(---\mapsto\boldsymbol{A=3.14\cdot15^2}\)
NB:Remember the Order of Operations!
P.E.M.D.A.S.
P=Parentheses
This operation tells us to evaluate all expressions in the parentheses first, if any are present.
E=Exponents
This one tells us to evaluate all expressions with exponents, if any are present.
M=Multiplication | D=Division
Unlike the two operations above, these two are completely interchangeable.
A=Addition | S=Subtraction
Like M and D, A and S are interchangeable.
_________________
Now let's simplify... According to P.E.M.D.A.S., we should square 15 first.
\(---\mapsto\boldsymbol{A=3.14\cdot225}\)
Now, we need to multiply.
\(---\mapsto\boldsymbol{A=706.5\;square\;inches}\)