Answer:
average mean not sure please
solve and graph the inequality 3x < 13
The solution of the inequality 3x < 13 is x < 4.33.
None of the given option is correct.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality,
3x < 13.
Simplifying,
x < 4.33
The graph is given in the attached image.
Therefore, the solution is x < 4.33.
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A hospital uses magnetic resonance imaging (MRI) readings to take lung volume measurements of fetuses during pregnancy. They time how long each measurement takes. A sample of 9 measurements with fetuses that are 21 weeks old has a mean of 48 seconds and a standard deviation of 8 seconds. A sample of 9 measurements with fetuses that are 29 weeks old have a mean of 78 seconds and a standard deviation of 13 seconds. Assume that the conditions for inference have been met. Let μ 29 − μ21 be the the difference in mean time required for the MRI for the different numbers of weeks into the pregnancy. Which of the following is a99%confidence interval forμ29−μ21? Use a calculator with statistical capabilities to calculate the interval. Choose 1 answer:
a. −30±11.0
b. −30±15.3
c. 30±11.0
d. 30±15.3
The correct option is (b) -30±15.3. To calculate the confidence interval, we can use the formula: (μ₂₉ − μ₂₁) ± t* (SE).
t is the t-value with 8 degrees of freedom and a 99% confidence level, and SE is the standard error of the difference between the means:
SE = √[(s₁²/n₁) + (s₂²/n₂)]
Plugging in the given values, we get:
SE = √[(8²/9) + (13²/9)] = 6.02
The t-value for 8 degrees of freedom and a 99% confidence level is 3.355.
So, the confidence interval is:
(78-48) ± 3.355*6.02 = 30 ± 15.3
Therefore, the 99% confidence interval for μ₂₉ − μ₂₁ is -30±15.3.
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A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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Here's a graph of a linear function. Write the
equation that describes that function.
xpress it in slope-intercept form.
Answer:
the slope intercept form is y = (1/2)x - 1
Step-by-step explanation:
The slope-intercept form is, y = mx + b
We see from looking at the graph that,
at x = 0, y = -1
So, from this we find that b = -1
at x = 2, y = 0,
now, we find the slope m,
using,
\(m = \frac{y_{2} -y_1}{x_2-x_1}\)
Using x_2 = 2, y_2 = 0,
x_1 = 0, y_1 = -1, we get,
m = (0-(-1))/(2-0)
m = 1/2
So, the slope intercept form is,
y = (1/2)x - 1
Evaluate the expression
Answer:
-15
Step-by-step explanation:
which is the correct answer?
(Note): (If you give a silly or absurd answer I will report you)
Answer:
lolooollollolololo-
jk
The answer is
J) 334.06
Step-by-step explanation:
We know the rate is 1.5 inch an hour
So 1.5*2.54 is 3.81
Now 3.81 cm every hour
24 hours a day
3.81*24=91.44
Now 91.44 cm A day
1 Year or 365 days
91.44*365= 33375.6cm a year
now we also need to add the extra 12 inches in the beginning
12*2.54=30.48cm
Now add those 2
33375.6+30.48= 33406.08
now the answer asked for meters so we divide 33406.09/100
you’ll get 334.06 or J
J) 334.06
This is your answer
Which of the following is true about the linear function 4x+2y=12
1.it has a slope of -2 and a y intercept of 6
2. It has a slope of -2 and a y intercept of 12
3 it has a slope of -1/2 and a y intercept of 6
4 it has a slope of -4 and a y intercept of 12
Answer:
i believe is 4
Step-by-step explanation:
If you 2y=-4x+12
need to get the Y by it self
For the function f(x)=x+4−−−−−√
, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is
The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.
To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.
The change in the function between x = 2 and x = 6 is:
f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6
The change in the input variable between x = 2 and x = 6 is:
6 - 2 = 4
So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:
(√10 - √6) / 4
To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:
(√10 - √6) / 4 ≈ 0.29
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SECOND TIMES THE CHARM.. please help
Answer:
y = 5x.
Step-by-step explanation:
Every y value is the corresponding x value times 5. (For example, 3 x 5 = 15, 5 x 5 =25)
Hope this helps!
PLEASE HELP 50 POINTS
Answer:
C. 1/3<b<3/2
D. 1/6<x<2
Step-by-step explanation:
Hope this helps
Answer:
In the photos
Step-by-step explanation:
Integer numbers are whole numbers that can be positive or negative.
Find the range and try to draw an interval set notation for each question.
Do not forget to mark my answer as the branliest, please! :)
Sam needs to fill a cylindrical container with punch. The container has
a radius of 11 inches and a height of 18 inches. How much punch can
Sam fit into the container?
Volume of the cylinder = 6838.92 cubic inches
We have to given that;
Sam needs to fill a cylindrical container with punch.
And, The container has a radius of 11 inches and a height of 18 inches.
Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.
Volume of a cylinder = πr²h
Where,
r=radius
h= height
Then,
π=22/7 or 3.14 (constant value)
r=11 inches
h=18 inches
Volume of a cylinder is,
= 3.14 × (11)² × 18
= 6838.92 cubic inches
Hence, Volume of the cylinder = 6838.92 cubic inches
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Identify the cavity that develops entirely from the mesoderm.
Write each as a fraction in simplest form
20.7%
Answer:
207/1000
Step-by-step explanation:
The symbol % is effectively equivalent to /100.
20.7% = 20.7/100 = 207/1000
207 has no factors that are 2 or 5, so this fraction cannot be reduced.
given fx 6(1-x) what us tge value of f (8) positive
The value of function f (8) is, - 42 which is negative.
Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is ,
⇒ f (x) = 6 (1 - x)
Now, WE can find the value of f (8) by substitute the value of x = 8 in above function,
⇒ f (x) = 6 (1 - x)
⇒ f (8) = 6 (1 - 8)
⇒ f (8) = 6 × - 7
⇒ f (8) = - 42
Thus, The value of function f (8) is, - 42 which is negative.
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An art collector bought 20 paintings at an art fair and wants to know the average price of the paintings she purchased at the fair. She adds the prices of all the paintings and divides this number by 20 to find an average price of $350. Is this price a sample mean or a population mean, and which symbol would be used to denote it?
The calculated mean price is a sample mean and it is denoted by x.
Given that
Mean price of paintings = $3550
Number of paintings = 20
What is population and sample mean?Population is defined as the overall collection from which a sample or observations are taken.
The sample is small or less number of observations that we take from a large population to perform data analysis.
In the given data, all the paintings at the art fair are population while the number of paintings that the art collector bought is a sample.
Hence,
The calculated mean price is a sample mean and it is denoted by x.
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In order to pay for college the parents of a child invest $30,000 in a bank that pays 5% interest compounded semi annually how much money will there be in 19 years round your answer to the nearest cent
Answer
$76,670.47
Step-by-step explanation
Compound interest formula
\(A=P(1+\frac{r}{n})^{nt}\)where
• A: final amount
,• P: principal
,• r: interest rate, as a decimal
,• n: number of times interest applied per year
,• t: time in years
Substituting with P = $30,000, r = 0.05 (= 5/100), n = 2 (semi annually means two times per year), and t = 19 years, we get:
\(\begin{gathered} A=30000(1+\frac{0.05}{2})^{2\cdot19} \\ A=30,000(1.025)^{38} \\ A=\text{ \$ }76,670.47 \end{gathered}\)On its own, 5 � � 5ab5, a, b is the product of
The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form
The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.
The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.
The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.
Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.
Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.
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During a school fund-raiser, the Student Government Association tracked the
average donation by student. Which of the following can you conclude about
the fund-raiser?
Average Number of Dollars Donated
to Kennedy High School, by Grade
120
100
80
60
Average donation (S)
20
0
9th
10th
12th
11th
Grade
A. The higher the grade, the larger the average donation.
O B. The school raised a total of $100.
c. 100 12th graders donated to the fund-raiser.
D. The school raised $271.
Answer:
A) The higher the grade, the larger the average donation
Answer:
The Answer is A
Step-by-step explanation:
5. The expression shown can be used to calculate the amount of money in dollars a grocery store customer should receive in change when paying with $50
The amount of change in dollars which the customer should receive include the following: D. $7.
How to evaluate and solve the given expression?In order to evaluate this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical expression:
Expression = 50 − (14 + 12 + 2(5) + 2(2) + 3)
Expression = 50 - (26 + 10 + 4 + 3) {Multiplication}
Expression = 50 - 43 {Addition}
Expression = $7 {Subtraction}
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Complete Question:
The expression shown can be used to calculate the amount of money in dollars a grocery store customer should receive in change when paying with $50.
50 − (14 + 12 + 2(5) + 2(2) + 3)
What amount of change in dollars should the customer receive?
$4
$26
$29
$7
Is it true that all multiples of 5 end with 5 or 0?
Answer:
yes
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
O
Which of the following could be used to calculate the area of the sector in the circle sho
O
m(Sin)
O
WE OD
m(Sin)2
O n(30in)2
O
r-5 in 30
m(30in)
O
above? (5 points)
The Circle Sector Area correct answer is: O n(30in)2
To calculate the area of the sector in the circle, you would typically use the formula:
Area = (θ/360) * π *\(r^2\)
where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
From the options you provided, the correct choice would be:
O n(30in)2
This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)
Therefore, the Circle Sector Area correct answer is: O n(30in)2
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I'm back.... Can someone please help me with these two problems?
Answer:
It is b and a
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y>−7/3+2x/3
Answer: b and a is ur answer
Step-by-step explanation:
A and B are independent events, A and C are dependent. P(A|B) = 0.3, P(A|C) = 0.2. Find P(A).
Round your answer to the nearest tenth.
Answer:
P(A) = 0.3
Step-by-step explanation:
independent event:
P(A|B) = P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give
\(P(A|B) = P(A)\\P(B|A) = P(B)\)
It is showing that whether one occurred or not, the other one doesn't care about it (independence).
Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,
P(A|C) = 0.2.
We know that for the independent event:
P(A|B) = P(A)
Hence, P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
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A sequence has a common second difference of 4 between terms. The first two terms are 3 and 12. Write down the 3rd and 4th terms.
The first two terms of the sequence are 3 and 12 and the 3rd and 4th terms are 25 and 42.
3rd and 4th terms from second level differenceThe 3rd and 4th terms of the sequence is determined from second level difference as shown below;
let the first term = asecond term = bthird term = cfourth term = d(c - b) - (b - a) = 4 ----(1)
(d - c) - (c - b) = 4 ---- (2)
from (1);
(c - 12) - (12 - 3) = 4
(c - 12) - (9) = 4
c - 21 = 4
c = 25
from (2);
(d - 25) - (25 - 12) = 4
d - 38 = 4
d = 42
The sequence = 3, 12, 25, 42
check
first difference = (12 - 3), (25-12), (42-25) = 9, 13, 17
second difference = (13 - 9), (17 - 13) = 4, 4
Thus, the first two terms of the sequence are 3 and 12 and the 3rd and 4th terms are 25 and 42.
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if you are asked to find the value of the 100th term of a sequence, would you use the explicit formula for that sequence or the recursive formula?
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
We know that,
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
a_n = a_1 + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
The major distinction between recursive and explicit formulas is that a recursive formula returns the value of a particular term depending on the preceding term, whereas an explicit formula returns the value of a given term based on its location.
When the value of the first term and the common difference is known then an explicit formula is used, while the recursive formula will be used when the value of the previous value is known and the value of the common difference is known.
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complete question:
what is the difference between the explicit formula and recursive formula for sequences when would you use one over the other
math math math math math math math
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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cos2 0-cos 20 = sin2 0
According to Double identities
\(\cos (2x)=2cos^2(x)-1\)\(\begin{gathered} \cos ^2(x)-sen^2(x)=2\cos ^2(x)-1 \\ -sen^2(x)=2\cos ^2(x)-\cos ^2(x)-1 \\ -sen^2(x)=\cos ^2(x)-1 \\ 1=\cos ^2(x)+sen^2(x) \end{gathered}\)The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?
AB/EC=BC/DE
AB/BC=DE/EC
AB=DE, and BC=EC
AB/BC=-EC/DE
Answer:
AB/CE = ED/BC
Step-by-step explanation:
Leg AB corresponds to leg CE.
Leg ED corresponds to leg BC.
3:1
2:3
1:3
13:41
6:7
9:7
21:28
96:32
22:33
12:36
72:56
54: 63
Reset
Next
2021 Edmentum. All rights reserved.
Answer:
21:28 is simplified to 3:4
96:32 simplifies to 3:1
22:33 simplifies to 2:3
12:36 simplifies to 1:3
72:56 simplifies to 9:7
54:63 simplifies to 6:7
Hope this helps
1.
(05.03)
Calculate the area of the regular pentagon below:
A regular pentagon with a side length of 11.8 inches and a dotted line from center to middle of side of 8.1 inches.
(4 points)
164.025 square inches
238.95 square inches
351.78 square inches
477.9 square inches
Given:
A regular pentagon with a side length of 11.8 inches and a dotted line from center to middle of side of 8.1 inches.
To find:
The area of the regular polygon.
Solution:
We have,
Side length = 11.8 inches
Length of Apothem = 8.1 inches
Area of a triangle is
\(Area=\dfrac{1}{2}\times base\times height\)
A regular pentagon has 5 equal sides and equal interior angles. The lines from the center to the vertices divide the pentagon in 5 equal triangle.
Area of one triangle is
\(A_1=\dfrac{1}{2}\times \text{Side length}\times \text{Apothem}\)
\(A_1=\dfrac{1}{2}\times 11.8\times 8.1\)
\(A_1=47.79\)
Area of five equal triangle is
\(A=5\times A_1\)
\(A=5\times 47.79\)
\(A=238.95\)
So, the area of the pentagon is 238.95 square inches.
Therefore, the correct option is B.