In a random sample of 60 students in first grade, the mean hours of sleep per night was 9.6 with a
standard deviation of 0.51. In a random sample of 40 students in 12th grade, the mean hours of sleep per
night was 7.2 with a standard deviation of 0.62.
Which interval is a 99% confidence interval for the difference between the mean hours of sleep?
O (2.36 h, 2. 44 h)
O (2. 19 h, 2.61 h)
O (2. 10 h, 2. 70 h)
O (2.29 h, 2.51 h)

Answers

Answer 1

Answer:

c is your answer

Step-by-step explanation:


Related Questions

Match each action with its effect on the set of scores shown. Use each action only once.
90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80, 67, 65

Answers

The change that will occur to the mean, median, mode of the data matched as follows:

1. e

2. b

3. d

4. a

5. c

What is the Mean fo a Data Set?

To find the mean, the sum of all the values is divided by the number of values.

Given the data, 90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80, 67, 65, therefore:

1. 35 is an extreme value, so it is an outlier. If we remove 35, the greatest change will be on the mean. (e)

2. If we remove 90, 67 will have the highest frequency. This means the mode of the data will change to 67. (b)

3. If 76 is removed from the data, the median of the data would be 79. (d)

4. If we remove 100, the range of the data would be, 94 - 35 = 59. (a)

5. If we remove 94, the mean of the data = 1108/15 = 73.87

This means the mean of the data will change to 73.87 if we remove 94. (c)

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Form a polynomial whose zeros and degree are given. ​Zeros: 2​, multiplicity​ 1; 4​, multiplicity​ 2; degree 3

Answers

Answer:

If the polynomial is degree 3, then it is of the form y = Ax3 + Bx2 +Cx + D

And if the zeros are -2 with multiplicity of 1, then the factor is (x+2)1 = x+2

The other zero is -4 with multiplicity of 2, so it's factor is (x+4)2 = x2 +8x+16

So in general, if we let A = 1, then the polynomial is y = (x+2)(x+4)2 which multiplies out to

(x+2)(x2+8x+16) = x3 + 8x2 + 16x + 2x2 + 16x + 32

Combining like terms gives the polynomial:

y = x3 +10x2 + 32x + 32

If A is not 1, then y = A(x3 +10x2 + 32

help please!
x+2/2x-2 = 7/x+3

Answers

Answer:

im sorry I don't know I didn't do this in school

cos ∅ = 5/13 and sin ∅ < 0. Identify the quadrant of ∅ and find sin ∅.​

Answers

Answer:

Step-by-step explanation:

A square pyramid is shown sitting on its base.

Answers

Answer:

312

Step-by-step explanation:

First we find the measure of the basea and that is 144 becuase 12x12

To find one side we do b*h over 2 and that is 7x12/2 which is 42 then we know that there are 4 more of those sides and we get 42*4 168

When we add 144+168 we will get 312

What is the area of this figure?
Enter your answer in the box.
in2
8 in.
116 in.
20 in.

Answers

Answer:

8

Step-by-step explanation:

I think we should add all the numbers when you multiply them by 5 then you will get 8.8

Help help help help help help math math

Answers

X/8=15/12
X=10

The answer Is 10

Write an inequality for the given graph.

Answers

Answer:

y ≤ -3/4x + 3

Step-by-step explanation:

Calculating slope

m = Rise/Runm = -3/4

Y-intercept : (0, 3)

Equation of line

y = mx + cy = -3/4x + 3

Inequality

y ≤ -3/4x + 3

Each model represents one whole. In which model does the shaded section represent the
product of 5/8and 3/8 ?

Answers

You would show the answer choices for this one. 5/8 x 3/8 is 15/64 or about 0.234375.

Find all relative maximum and minimums of f(x) =2x^3-3x^2-12x+5 Explain your steps in detail.

Answers

Answer:

The relative minimum is (3,-4) and the relative maximum is (-2,1)

Step-by-step explanation:

The first step is to take the derivative of f(x)

By using the power rule which is d/dx x^n=nx^n-1 you will find that the derivative is 6x^2-6x-12

The next step is to set the derivative = to 0 and by doing that you will obtain x being equaled to -2 and 3

Put -2 and 3 on a sign chart and determine the behavior for both of those functions

The outcome of your sign chart should be + - + because of the odd multimplicity of (x-3) and (x+2).

The next step is to find the f(x) values or y values of your two points

By plugging in 3 into f(x), you get -4 and by plugging in -2 into f(x) you get 1

Since there was interval given, I cannot find the absolute extremas of this function.

I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. A ramp formed the angles shown to the right. What are the values of A and B?

Answers

Answer:

A=167⁰, B=13⁰

Step-by-step explanation:

A=167⁰

B=13⁰

I HOPE IT HELPED YOU

Answer:

a° = 167°, b° = 13°

Step-by-step explanation:

since the angles in a triangle add to 180°, we can work out b°

90° (right angle) - 77° = 167°

180° - 167° = 13°

since the angle of a straight line is also 180°, a° would be 180° - 13° which is 167°.

The sale tax rate is 5%. Jadon buys a shirt at $200.What will be the total cost, including tax

Answers

210.
Because when tax is turned into a decimal, .05 multiplied by 200 is 10 then add 10 to 200 making 210

Which decimal is equivalent to 0.75?

Answers

Answer:

Fracción

3/4

Fracciones equivalentes

6/8

Decimal

0,75

Answer:

3/4.

Step-by-step explanation:

0.75 = 75/100

= 3/4


Volume of a box If a box has a volume of 42 cubic feet, is it possible for you to
fit inside the box? Explain your answer

Answers

Answer:

yes ,because the average human hight

cannot exceed 7squared feets

Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.

What is a box?

In mathematics, a box is a three-dimensional shape that has six rectangular faces.

It is also called a rectangular prism.

The faces on opposite sides of a box are congruent and parallel. A box has a height, width, and length, which are usually labeled as h, w, and l.

The volume of a box can be found by multiplying its length, width, and height: V = l × w × h.

We have,

The volume of a box is a measure of the amount of space inside the box, typically measured in cubic units such as cubic feet or cubic meters.

If a box has a volume of 42 cubic feet, it is simply telling us the amount of space inside the box.

Whether a person can fit inside the box or not depends on the size of the box and the size of the person.

Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.

So,

We need more information to answer this question.

Thus,

Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.

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Julie has 30 pounds of chocolate that she is selling for a fundraiser. She is putting the chocolate into boxes that each hold 2/3 pound of chocolate. How many boxes can she fill?

Answers

Answer:

45 boxes.

Step-by-step explanation:

30 / 2/3

= 30 * 3/2

= 90/2= 45

You have a bag of marbles. In the bag, there is a red, blue,
white, yellow, orange and black marble. Find the probability
that you choose the red, then the blue marble (you don't
replace the first marble you draw). Express your answer as a
simplified fraction.

Answers

Answer:

1/6 probability that you choose red

1/6 probability that you choose blue

Step-by-step explanation:

There are 6 marbles and only one is red, same with blue, so out of six times you pick a marble you will get the blue once and red once.

John works at Klein’s Dry Cleaning. He earns $8.45 per hour. If John worked 39 hours this week, what is his pay? *

Answers

Answer: 329.55

Step-by-step explanation: multiple 8.45 by 39 which is 329.55

8.45 * 39 = 329.55

$329.55


Explanation:


Multiply 8.45 by 39


The product is 329.55, so that’s your answer.


Hope this helps!

Evaluate the piecewise function by matching the domain values with the range values.

Answers

The subfuctions of the piecewise function f(x) are linear functions

The matching values of the domain values with the range values are

x       f(x)

-4      -7

-2      -8

0       -2

2       4

4      -4

8     -12

How to evaluate the piece-wise function?

The function is given as:

[tex]f(x) = \left[\begin{array}{cc}x-3&x\le-4\\3x-2&-4 < x\le 2\\-2x+4&x > 2\end{array}\right][/tex]

The above definition means that:

All x values less than or equal to -4 would be evaluated using f(x) = x - 3All x values greater than -4 but less than or equal to 2 would be evaluated using f(x) = 3x - 2All x values greater than 2 would be evaluated using f(x) = -2x + 4

Using the above highligts, we have:

f(-4) = -4 - 3 = -7

f(-2) = 3(-2) - 2 = -8

f(0) = 3(0) - 2 = -2

f(2) = 3(2) - 2 = 4

f(4) = -2 * 4 + 4 = -4

f(8) = -2 * 8 + 4 = -12

So, the matching values are

x       f(x)

-4      -7

-2      -8

0       -2

2       4

4      -4

8     -12

Read more about piecewise functions at:

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when asked to factor the x^2 - 100, a student gives the answer (x -10) (x-10). what is wrong with this answer?

Answers

[tex]x^2-100\\\\=x^2-10^2\\\\=(x+10)(x-10)\\\\\text{The difference of two squares formula is}~ a^2 -b^2 =(a+b)(a-b),\\\\\text{So, the student did not apply it properly}[/tex]

What is the value of x in this equation? 5x= 15

Answers

Answer:

x=3

Step-by-step explanation:

15 divided by 5= 3

5(3)=15

so x=3

What is the area
of a sector
when 0=pi/2 radians and
8/
3?

Answers

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2}~~ \begin{cases} r=radius\\ \theta =\stackrel{radias}{angle}\\[-0.5em] \hrulefill\\ r=\frac{8}{3}\\ \theta =\frac{\pi }{2} \end{cases}\implies A=\cfrac{~~ \left( \frac{\pi }{2} \right)\left( \frac{8}{3} \right)^2~~}{2}\implies A=\cfrac{~~ \left( \frac{\pi }{2} \right)\left( \frac{64}{9} \right)~~}{2} \\\\\\ A=\cfrac{~~\frac{32\pi }{9} ~~}{\frac{2}{1}}\implies A=\cfrac{32\pi }{9}\cdot \cfrac{1}{2}\implies A=\cfrac{16\pi }{9}[/tex]

Wall Drugs offered an incentive stock option plan to its employees. On January 1, 2021, options were granted for 69,000 $1 par common shares. The exercise price equals the $5 market price of the common stock on the grant date. The options cannot be exercised before January 1, 2024, and expire December 31, 2025. Each option has a fair value of $1 based on an option pricing model.

What is the total compensation cost for this plan?

Answers

if you copy the words and paste it you will get it right 100% did it already gotcha

Find the slope of the line graphed below.

Answers

Answer:

—7/3

Step-by-step explanation:

1) Choose two points on it.

like (1,3) and (4,—4)

2) slope is

[tex]slope = \frac{y2 - y1}{x2 - x1} = \frac{3 + 4}{1 - 4} = \frac{7}{ - 3} = - \frac{7}{3} [/tex]

Answer:

-7/3

Step-by-step explanation:

Slope formula:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

The two points on the graph are (1,3) and (4,-4).

Substitute into the formula:

[tex]\frac{-4 - 3}{4 - 1}[/tex]

Simplify:

[tex]\frac{-4 - 3}{4 - 1} = \frac{-7}{3}[/tex]

a woman 1.65. tall stood 50m away from the foot of a tower,and observe that the angle of elevation of the top of the tower to be 50⁰ what is the height of the tower​

Answers

[tex]\sf\huge\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]Let the women's height be AE and distance between the women and tower be AC.

Also let the height of tower be BC.

[tex]\rightarrow[/tex]Now, clearly it is forming a triangle.

So, in triangle ABC,

[tex]\rightarrow[/tex][tex]\sf{Tan50° \:= \: \frac{BC}{AC}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{1.19 \:= \: \frac{BC}{50}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{1.19 ×50\:= \: BC}[/tex]

[tex]\rightarrow[/tex][tex]\sf{59.5m\:= \: BC}[/tex]

[tex]\rightarrow[/tex]Hence, BC = 59.5m

So, BD(total height of the tower)[tex]\sf{ = \:BC+CD}[/tex]

[tex]\sf{= \:59.5+1.65}[/tex]

[tex]\sf{=\: 61.15m}[/tex]

Therefore, total height of the tower =[tex]\sf\purple{ 61.15m.}[/tex]

________________________________

Hope it helps you:)

Answer:

61.24 m to the nearest hundredth.

Step-by-step explanation:

tan 50 = H / 50  

H =  50 tan 50

Height of the tower = H + height of the woman

= 50 tan 50 + 1.65

= 61.2377 m

What is the slope-intercept equation for this line?

Answers

Answer:

the slope intersection is xy

Answer:

y=-3x+4

Solution:We are given 2 points: (1,1) and (0,4)We can use these points to find the slope of the line:[tex]m=\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{4-1}{0-1}[/tex][tex]\displaystyle\frac{3}{-1}[/tex][tex]-3[/tex]Now, let's identify the y-intercept.The y-intercept is the point where the graph touches the y-axis.Since the graph touches the y-axis at (0,4) the y-intercept is equivalent to (0, 4) or 4.

Hope it helps.

Do comment if you have any query.

A triangle has angle measurements of 36°, 83°, and 61°. What kind of triangle is it?

Answers

Answer:

It is an acute truangle.

Step-by-step explanation:

It is an acute triangle since all of the side are less than 90 degrees.

The height of a triangular truss is 5 ft less than the base. The amount of drywall needed to cover the triangular area is 84 ft2. Find the base and height of the triangle to the nearest tenth of a foot.

Answers

Answer:
Base: 15.1 ft
Height: 11.1 ft

Step-by-step explanation:

(15.1 x 11.1)/2 = 84.07

84.07 ≈ 84

This is the closest answer.

What is the hydronium ion concentration in a solution with a pH of 4.25?

Answers

Answer:

5.6 × 10⁻⁵ mol/L

Step-by-step explanation:

what is fhe solution of the system of these equations? (i’m giving brainliest)

Answers

Answer:

Top-left system: (3,5)

Bottom-right

system: (-1,0)

Step-by-step explanation:

One way to solve a system of equations is to graph them. The solution is the point of intersection (where the lines cross). If you need to give the x-value and y-values separately, the first number in the pair is the x and the second number is the y.

The triangles below are similar. Find x.

a. 1
b. 2
c. 3
d. 4

Answers

Answer:

a. 1

Step-by-step explanation:

[tex]\frac{x+2}{x} =\frac{6}{2} =3[/tex]

The ratio is 1:3

[tex]x+2=3x[/tex]

[tex]2=3x-x\\2=2x\\[/tex]

x = 2/2 = 1

Hope this helps

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