How large a sample is needed for a z-test with 95% power (=1 − ) and = 0.05 for the following hypotheses? H0 : μ = 10 HA : μ ≠ 10 Assume that σ = 6.9. The alternative assumes that the population mean is 12.
a. 53 b. 55 c. 124 d. 155

Answers

Answer 1

The correct answer is d. 155. We need a whole number for the sample size, we round up to the nearest whole number.

Therefore, the required sample size is approximately 155.

How to determine the sample size?

To determine the sample size needed for a z-test with 95% power and a significance level of 0.05, we can use power analysis. Given the following hypotheses and parameters:

H0: μ = 10 (null hypothesis)

HA: μ ≠ 10 (alternative hypothesis)

σ = 6.9 (standard deviation)

Desired power (1 - β) = 0.95

Significance level (α) = 0.05

We can use a power analysis formula to calculate the required sample size:

n = [(Zα/2 + Zβ) × σ / (μ0 - μA)]²

Where:

Zα/2 is the critical value for a two-tailed test at a significance level of α/2.

Zβ is the critical value corresponding to the desired power.

Let's calculate the required sample size:

Zα/2 = Z(0.05/2) = Z(0.025) ≈ 1.96 (from the standard normal distribution table)

Zβ = Z(0.95) ≈ 1.645 (from the standard normal distribution table)

n = [(1.96 + 1.645) × 6.9 / (10 - 12)]²

n ≈ [3.605 × 6.9 / -2]²

n ≈ [-24.870 / 2]²

n ≈ -12.435²

n ≈ 154.51

Since we need a whole number for the sample size, we round up to the nearest whole number.

Therefore, the required sample size is approximately 155.

The closest option provided is:

d. 155

So, the correct answer is d. 155.

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Related Questions

Pleassee help!!!
will give brainliest!!

Answers

The amplitude is 6 and vertical translation is 2. Therefore Option C is correct

For the transformation of y=f(x) to f(x)+k, for k>0, f(x) is moved k upwards and for transformation of f(x) to f(ax) it depends upon the value of a If |a|>1 then f(ax) is f(x) squashed horizontally by a factor of a and If 0<|a|<1 then f(x) is stretched horizontally by a factor of a.

So by the graph it is clearly visible that amplitude of the graph is 6 as the distance from the centre line (or the still position) to the top of a crest or to the bottom of a trough is 6 and the vertical translation is 2 as distance moved by the graph upwards is 2.

Thus the amplitude is 6 and vertical translation is 2.

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Part b
calculate the perimeter of each quadrilateral and the ratio of the perimeters. round your answers to the hundredths place.

Answers

The perimeter of the quadrilateral illustrated is 30cm.

How to calculate the perimeter?

The information is incomplete. Therefore, an overview will be given. It should be noted ha perimeter simply means the addition of the sides given.

Let's assume that that we've a rectangle with length and width of 10 and 5cm.

The perimeter will be:

= 2(l + w)

= 2(10 + 5)

= 30cm

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match the graph with jts inequality

help helphelphelp help

Answers

Answer:

y<x

Step-by-step explanation:

Alright so you do know that the y=x has got the equal amount for both y and x right and it also is a bisector for the first and third area, that's that

the graph is show the same thing but with some blue area and the area show x values which less than y values sooo you answer is y<x

The step 2 of a certain construction is shown below. What construction is being performed?

bisect an angle
copy an angle
copy a segment
construct a right anglers

Answers

The construction that is performed based on the information given will be D. construct a right angle.

What is construction?

It should be noted that construction simply means the accurate drawing of shapes, angles, and the line in geometry.

In this case, the construction that is performed based on the information given will be to construct a right angle.

It should be noted that a right angle has an angle of 90°.

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The calculator shows the result that Enrique got after evaluating the expression 56 + 7 × (34 – 17) – 16 . He checked his work by rounding all of the values to the nearest ten and comparing it to the calculator result. Which is true regarding his estimate and the accuracy of his calculator result?

Answers

Answer:

The estimated result is 680, which suggests the calculator is incorrect.

answer choices would have helped, hope this helps :)

Select the correct answer from each drop-down menu. the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5). the center of the circle is at the point , and its radius is units. the equation of this circle in standard form is .

Answers

The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².

Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²

The equation of a circle.

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

h and k represent the coordinates at the center.

r is the radius of a circle.

The midpoint of the given points represents the center of this circle:

h = (4 + 4)/2 = 4

k = (5.5 + 10.5)/2 = 8

Next, we would determine the radius by using the distance formula for coordinates:

r = √[(x₂ - x₁)² + (y₂ - y₁)²]

r = √[(4 - 4)² + (10.5 - 5.5)²]

r = √[0² + 5²]

r = √25

r = 5 units.

Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².

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help!!!!>>>>>>>Explain the difference between perimeter
and volume.
a. Perimeter represents space inside a three-
dimensional object. You use volume to
measure the distance around an object.
b. You use perimeter to measure the distance
around an object. Volume represents space
inside a two-dimensional object.
c. Perimeter represents space inside a two
dimensional object. You use volume to
measure the distance around an object.
d. You use perimeter to measure the distance
around an object. Volume represents space
inside a three-dimensional object.

Answers

d. Volume can only be found in 3d objects.

Instructions: State what additional information is required in order to know that the triangles in the image below are congruent for the reason given.

Reason: SAS Postulate

Answers

When two or more given triangles are congruent, this implies that the measures of their corresponding angles and sides are equal. So that the additional information required in the question is FG ≅ IJ.

When two or more given triangles are congruent, this implies that the measures of their corresponding angles and sides are equal. Thus the congruent relations of the triangles can be with respect to their angles or/ and sides.

The two given triangles in the question would be congruent with respect to the Side-Angle-Side (SAS) postulate if the condition below is true:

i.e FG ≅ IJ

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What is the following sum?
3/125x10,13 +3/27x10,13
O
○ 8x³y² (¹³√xy)
15x³y³ (³√xy )
O 15x5
O
15x³y² (2√xy)
O
○ 8x³y³ (³√xy)

Answers

[tex]\sqrt[3]{125x^{10}y^{13} } +\sqrt[3]{27x^{10}y^{13} }[/tex]=[tex]5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} } = 8\sqrt[3]{x^{10}y^{13} }[/tex]

How to solve an expression?

[tex]\sqrt[3]{125x^{10}y^{13} } +\sqrt[3]{27x^{10}y^{13} }[/tex]

Therefore,

125 = 5³

27 = 3³

Hence,

[tex]5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} }[/tex]

Hence,

Both cube root are the same now,

Therefore, we have to add them together.

[tex]5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} } = 8\sqrt[3]{x^{10}y^{13} }[/tex]

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Need help with Slope (find the slope of each line)these 8 problems show your work need ASAP

Answers

Answer:

17) 3

18) -5/4

19) 4/2 or 2

20) 1

21) 2/4 or 1/2

22) 4/7

23) -2/2 or -1

24) -1/3

Step-by-step explanation:

the easiest thing to do is go by rise over run and count the number of units, hope this helped!

17) y= -3x+b
18) y= 5/4x+b
19) y= -2x+b
20) y= -1x+b
21) y= -1/2x+b
22) y= -4/7x+b
23) y= 1x+b
24) y= 1/3x+b
I put them into slope-intercept form. To show your work connect the points it goes rise over run. Count the points horizontally first and then vertically until the points are connected. Ex: for problem 20 count up and over and you get 1/1 and that simplified would be 1. Since the line points to the right rather than to the left means it’s negative. So in problem 20 the line points to the right which makes it -1. M=slope so y=mx+b is the slope intercept form. Slope can be a fraction,whole number, negative, positive, etc.

Left=positive Right=negative

Have a great day and don’t worry it gets easier!! :)

A professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these questions. What is the probability that, of the questions studied.

Answers

The probability that of the questions studied, all three were the test questions selected by the professor is 0.05.

How to find the probability?

We can find the probability by dividing the total number of favorable events by the total number of events.

The total number of events is given by [tex]6C_{3}[/tex].

The total number of favorable events is given by [tex]3C_{3}[/tex].

The probability is given by = Favorable events/Total number of events

= [tex]\frac{3C_{3}}{6C_{3}}[/tex]

= [tex]\frac{1}{\frac{(6)(5)(4)}{(1)(2)(3)} }[/tex]

= [tex]\frac{1}{(5)(4) }[/tex]

= 0.05

The probability that all three questions are selected by the professor for the test is found to be 0.05.

Therefore, we have found that the probability that of the questions studied, all three were the test questions selected by the professor is 0.05.

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Disclaimer: The question was incomplete, the complete question is attached below.

Question: A professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these six questions. What is the probability that, of the questions studied, all three were the test questions selected by the professor?

I am stuck on the answer for this question

Answers

Answer:

12/13

Step-by-step explanation:

Trigonometric ratio:

     [tex]\sf Cos \ x = \dfrac{adjacent \ side \ to \ \angle x}{hypotenuse}\\\\[/tex]

              [tex]\sf = \dfrac{XY}{ZX}\\\\=\dfrac{36}{39}\\\\=\dfrac{36 \div3}{39 \div 3}\\\\=\dfrac{12}{13}[/tex]

your anwer would be 12/13 love

A right-angled triangle has a hypotenuse of length 8 and another side of length 3.
Find the length of the unknown side g.
Write each step of working as an equation and give the answer to two decimal places

Answers

Answer:

The file contains the solution to the above question

210÷[5+16÷2{6−18÷(7+2)}]−15​

Answers

Answer:

[tex]-\frac{345}{37}[/tex]

Step-by-step explanation:

Just follow the order of operations

210÷[5+16÷2{6−18÷(7+2)}]−15  

= 210÷[5+16÷2{6−18÷9}]−15   (calculate 7+2)

= 210÷[5+16÷2{6−2}]−15 (calculate 18÷9)

= 210÷[5+16÷2{4}]−15  (calculate 6-4)

= 210÷[5+16÷2×4]−15

= 210÷[5+8×4]−15  (calculate 16÷2)

= 210÷[5+32]−15  (calculate 8×4)

= 210÷[37]−15  (calculate 5+32)

= 210÷37−15

= 210÷37−(15×37)÷37  (put on the same denominator)

= 210÷37−555÷37  (calculate 15×37)

= (210−555)÷37

=-345÷37   (calculate 210-555)

Suppose you are asked to compare two functions, A and B. Function A written in slope-intercepts form, y= -3x + 4. Function B is graphed on the coordinate plane and has a greater rate of change but lower y-intercept than function A. Describe what is true about the graph of function B.

Answers

Answer:

Use the slope and one of the points to solve for the y-intercept (b). One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Step-by-step explanation:

Alissa is analyzing an exponential growth function that has been reflected across the y-axis. She states that the domain of the reflected function will change because the input values will be the opposite sign from the reflected function. Simon disagrees with Alissa. He states that if an exponential function is reflected across the y-axis, the domain will still be all real numbers.

Which student is correct and why?

Alissa is correct because the domain will change from negative to positive x-values.
Alissa is correct because a reflection across the y-axis will change the possible input values of the reflected function.
Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input.
Neither student is correct.

Answers

Answer:

C) Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input.

================

The exponential growth function has:

Domain - all real numbers,Range - all real numbers excluding zero.

When the function is reflected across the y-axis, we'll have no change to domain or range from what is described above.

Alissa is correct, the input values change to opposite, however the domain stays same - all real numbers.

It means Simon is correct with his statement.

The matching answer choice is C.

Answer:

Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input.

Step-by-step explanation:

Exponential Function

General form of an exponential function:  [tex]f(x)=ab^x[/tex]

where:

a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Reflection in the y-axis

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

As the exponential function is a growth function, b > 1.

If the exponential growth function has been reflected in the y-axis, the x variable is negative:

[tex]\implies f(x)=ab^{-x}[/tex]

Regardless whether the initial value [tex]a[/tex] (y-intercept) is positive or negative, the domain of an exponential function is (-∞, ∞) so it is unrestricted.

Therefore, if the function is reflected across the y-axis, the output value for each input value will change, but the domain itself will not change and will still be all real numbers.

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Can someone help me please

Answers

The inverse function of g(x) is:

[tex]f(x) = -\frac{3}{x + 4}[/tex]

So the correct option is D.

How to get the inverse of g(x)?

Here we have the function:

[tex]g(x) = -\frac{3}{x} - 4[/tex]

Remember that two functions f(x) and g(x) are inverses if:

[tex]f(g(x)) = x\\g(f(x)) = x[/tex]

Then we must have:

[tex]g(f(x)) = -\frac{3}{f(x)} - 4 = x[/tex]

Solving for f(x), we get:

[tex]-\frac{3}{f(x)} - 4 = x\\\\ \frac{3}{f(x)} +4 = -x[/tex]

[tex]\frac{3}{f(x)} = -x - 4\\\\3 = (-x - 4)*f(x)\\\\\frac{3}{-x - 4} = f(x) = -\frac{3}{x + 4}[/tex]

Then the correct option is D.

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Select the correct answer.
The parent function f(x)=√x is transformed to g(x) = 2f(x-3). Which is the graph of g(x)?

Answers

The function g(x) is a translation of 3 units to the right and a vertical dilation by scale factor k = 2 of f(x), the graphs of both functions can be seen in the image at the end.

Which is the graph of g(x)?

We know that g(x) is a transformation of the parent function f(x) = √x, such that:

g(x) = 2*f(x - 3)

g(x) = 2*√(x - 3)

Then we can see that g(x) is a translation of 3 units to the right followed by a vertical dilation of scale factor 2 of the parent function f(x).

So to graph g(x) you first need to move the whole graph of f(x) 3 units to the right, and then apply a dilation vertically.

The graph of g(x) and f(x) can be seen in the image below:

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Wey wey wonders how much water it would take to fill her cup. she drops her pencil in her cup and notices that it only fits diagonally. the pencil is 17 centimeters long and the cup is 15 centimeters tall. how much water can the cup hold? use paper to help you with your thinking.

Answers

Answer:

240π cm³ (exact)

754 cm³ (approximate)

Step-by-step explanation:

I assume the shape of the cup is a cylinder. The height of the cylinder is 15 cm.

Think of a vertical rectangle that contains the vertical axes of the cylinder.

Two sides of the rectangle are diameters of the bases of the cylinder. The other two side are heights of the cylinder. The pencil is 17 cm long and is a diagonal of this rectangle. We can find the diameter of the base of the cylinder using the Pythagorean theorem.

In a rectangle that is 15 cm long, the diagonal measures 17 cm.

a² + b² = c²

15² + b² = 17²

b = 8

The diameter of the cup is 8 cm.

radius = 8 cm/2 = 4 cm

V = πr²h

V = π(4 cm)²(15 cm) = 240π cm³ (exact)

V = 754 cm³ (approximate)

Prior to September, 2000, taxi fares from Washington DC to Maryland were described as follows: $2.00 up to and including 1⁄2 mile, $0.70 for each additional 1⁄2 mile increment.
- Describe the independent and dependent variables and explain your choices.

Answers

Answer:

See below.

Step-by-step explanation:

The $2 charge is independent of the miles driven.  It cost $2 regardless of mileage.  The $0.20.half mile is the dependent variable.  The cost changes as a function of 1/2 miles driven.

Help me with this please

Answers

Answer:

Step-by-step explanation:

Which equation is equivalent to
f(x) = 16x4 -81 = 0?
✓(4x² +9)(4x² - 9) = 0 ✓
COMPLETE
Select all of the zeroes of the function.
O
2/3
DONE

Answers

The equivalent equation is (4x² + 9)(4x² - 9) and the zero's are x =± 3 / 2 and x = ± 3 / 2i

How to find equivalent equation?

The equivalent equation can be found by factoring. Factoring of a polynomial is the method of breaking the polynomial into a product of its factors.

Therefore,

f(x) = 16x⁴ - 81 = 0

Hence,

9 × 9 = 81

4x² × 4x² = 16x⁴

Therefore,

16x⁴ - 81  = (4x² + 9)(4x² - 9)

Hence,

The zeros of a function, also referred to as roots or x-intercepts, occur at x-values where the value of the function is 0 (f(x) = 0).

The zero's of the function are as follows:

4x²  = 9

x² = 9 / 4

x =± 3 / 2

4x² = -9

x² = - 9 / 4

x =√-9 / 2

x = ± 3 / 2i

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Four different sets of objects contain 4,5,6, and 8 objects respectively. how many unique combinations can be formed by picking one object from each set?
A. 23
B. 141
C.960
D. 529

Answers

The number of unique combinations that can be formed by picking one object from each set is =960. That is option C.

Calculation of unique combinations of a number set

Number combination is a mathematical technique that shows the number of possible arrangements in a collection of items.

The first set of objects = 4. There are a total of 4 possibilities.

The second set of objects = 5. There are a total of 5 possibilities

Therefore from first and second set, the total number of possibilities = 4×5 = 20

For the whole set, the total possibilities;

= 4×5×6×8

= 960

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Someone help me with a step by step explanation to simplifying

100x(5 - 3p)
ty

Answers

Answer:

500x - 300xp.

Step-by-step explanation:

100x(5 - 3p)

First distribute the 100x over the parentheses:

= 100x*5 - 100x * 3p

Now simplify:

= 500x - 300xp.

Tony is given _9 10 hour to mow a lawn. he only uses _ 2 3 of the given time to mow the lawn. how much time is left

Answers

[tex]\frac{7}{30}[/tex] units of time is left.

What is a fraction?A fraction is a component of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of pieces of a specific size, such as one-half, eight-fifths, and three-quarters.

To find how much time is left:

Given - Tony is given [tex]\frac{9}{10}[/tex] hour to mow a lawn. he only uses [tex]\frac{2}{3}[/tex]  the given time to mow the lawn.

Simplify subtract   [tex]\frac{9}{10}[/tex]  by  [tex]\frac{2}{3}[/tex]  as follows:

[tex]\frac{9}{10}-\frac{2}{3} =\frac{27-20}{30} =\frac{7}{30}[/tex]

Therefore, [tex]\frac{7}{30}[/tex] units of time is left.

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Given that e parallel f and g is a transversal, we know that angle 4 is-congruent-to angle 5 by the alternate interior angles theorem. we also know that angle 1 is-congruent-to angle 4 and angle 5 is-congruent-to angle 8 by the ________. therefore, angle 1 is-congruent-to angle 8 by the substitution property. corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Answers

∠5 ≅ ∠8 (vertically opposite angles)

Hence, ∠1 ≅ ∠8 by the transitive property.

How to find angles when parallel lines are cut by a transversal?

When parallel lines are cut by a transversal, angle relationships are formed. This include corresponding angles, alternate angles , vertical angles etc.

Therefore, line e and f are parallel lines cut by the the transversal g.

∠1 ≅ ∠4(vertically opposite angles)

Hence,

∠4 ≅ ∠8(corresponding angles)

Since, ∠1 ≅ ∠4

Then, by substitution,

∠1 ≅ ∠8 (transitive property)

∠5 ≅ ∠8 (vertically opposite angles)

Therefore, ∠1 ≅ ∠8 by the transitive property.

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2/y = 4/2 find y
Answer is y=1 but how?​

Answers

[tex] \frac{2}{y} = \frac{4}{2} [/tex]

[tex]4 = 4y[/tex]

[tex] \frac{4}{4} = y[/tex]

[tex]1 = y[/tex]

Hope it helps you any confusions you may ask!

Let's see

2/y=4/22/y=2y=2/2y=1

Verified

Provide reasons for the statements.

Given: ∠1 and ∠3 are vertical angles.

Prove: ∠1 ≅ ∠3

(See image for more details on the equation, please.)

Answers

The reasons for the statement about the angles include:

3. Definition of linear pair.

4. Definition of supplementary angles.

5. Substitution.

6. Subtraction property of equality.

7. Definition of congruence.

How to illustrate the information?

The angles are supplementary because the angles 1 and 2, 2 and 3 form a linear pair and thus because of the definition of linear pair, they are supplementary angles.

The sum of angles of 1 and 2, 2 and 3 is equal to 180 because these pair of angles are supplementary angles. Supplementary angles are those angles whose sum is 180 degrees.

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Hank runs a successful hot dog stand right across from the arch at the University of Georgia in downtown Athens. Hank has to order his hot dogs, buns, mustard, relish, and all other condiments in bulk, as well as pay taxes, licensing fees, and other small business expenses. Therefore, Hank has a relatively large “sunk” cost associated with his business – it averages out to $950 per week just to keep the cart open. The cost of producing hot dogs is given by C(h) = 950 + .45(h). Where h is the number of hot dogs and C(h) is the cost. If he sold 100 hotdogs at $10.25 each, how much profit would he make for the week?

Answers

The profit he would make in one week is  $30.

What is Hank's profit?

Profit is the total revenue less total cost.

Total revenue = price of one hot dog x number of hotdogs sold

$10.25 x 100 = $1025

Total cost = 950 +( 0.45 x 100)

950 + 45 = 995

Profit = 1025 - 995 = $30

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Triangle M N O maps to triangle M prime N prime O prime.

In the diagram, triangle MNO maps to triangle M'N'O'.

Complete the statements.

Angle M corresponds to angle
Side
is the image of side NO.

Answers

Angle M corresponds to angle M' and

Side N'O' is the image of side NO

The vertices of each triangle must have a one-to-one correspondence. This phrase means that the measure of each side and angle of each triangle is equal to the side or angle of the other triangle.

Here it is given that Triangle MNO maps to triangle M'N'O'

We need to find that Angle M corresponds to which angle and the image of side NO

By one to one correspondence we get that

Angle M corresponds to angle M' and

Side N'O' is the image of side NO

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Question 5 emeka runs a team with members located all across the world. every week he has a 30 minute meeting via a conference call that is required for all teammates. there is frequent absenteeism that is frustrating to him, but he also has difficulty with follow-up on his end due to his workload. this leads to most of his team acting without plans and direction. __________ is a depression in earth's surface that results from weathering of carbonate rock. Functions of following nutrients..Carbohydrate Protein Fat Minerals Vitamins Water The equations of four lines are given. Identify which lines are parallel.Line 1: y=5x5Line 2: x+12y=4Line 3: y=2x+4Line 4: y+8=15(x9) A database backup can include information on who made what changes and when since the previous database backup. mass communication theories Select the story problem that this division problem represent 1/2 2/5 (Repost) Consider trapezoid LMNO.Trapezoid L M N O is shown. Sides L M and O N are parallel.What information would verify that LMNO is an isosceles trapezoid? Check all that apply.LN MOLM ONLO MNL NL M Please help meI am doing a test to see which level I am What happened to Charlemagne's empire following the death of his son? True or false: a price ceiling above $25 per box is not a binding price ceiling in this market. After the 2012 election, president obama declared he had a mandate, referring to what he perceived as overwhelming support from whom? what is the lower quartile in the following distribution 82, 90, 66, 78, 88, 72, 60, 80 A)69 B)78 C)79 D) 85 The dentist looked at my teeth and told me_____ much. ( not worry) help me, please! Read the excerpt from "It's Only Fair."Its only fair, Maritza told her friend Avery as they sat in their empty classroom after school. "The first person to do a famous thing should get the most credit for it. I mean, how much do you hear about the second person to fly an airplane over the Atlantic Ocean? Or the second guy who landed on the moon?To draw a conclusion about Maritzas character based on this excerpt, what is the best question for the reader to ask?Who is she?What does she do?Where is she?What does she say? ____ are the regions where growth is initiated by the proliferation of cells. The triangles are similar. Find the value of the variable. Which of the following is NOT something that the Fed will try to predict and monitor to estimate the effect of its actions on aggregate demand Help! asap!As shown in the figure below, a || b and c is the transversal, m1= 40, m2= 70. Question: m3= ? Which of the following is the best definition of the word refute? O An opposing alternative way to view or interpret the topic O An explanation that disproves somethingO To approve of something the opposing side has mentioned O To make something stronger or more certain