Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 58 inches, and the MAD (mean absolute deviation) is 3 inches. Select all the true statements. The mean height of all seventh graders is likely be between 52 and 64 inches. Another random sample of 20 students will always have a mean of 58 inches. A sample of 20 female students would be more likely to get an accurate estimate of the mean height of the population than a sample of a mix of 20 male and female students. m A sample of 100 seventh graders would be more likely to get an accurate estimate of the mean height of the population than a sample of 20 seventh graders. a Elena's sample proves that half of all seventh graders are taller than 58 inches.​

Answers

Answer 1

Answer:

A.  The median height of the sample must be between 59 and 63 inches.

B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.

E.  Elena would be more likely to get an accurate estimate of the mean height of the population  by sampling 40 people instead of sampling 20 people.

Step-by-step explanation:

The mean absolute deviation shows the variation in a given data set. It can be determined by calculating the mean of the absolute value of the initial mean and each data set. It describes how spread out the data set are.

With respect to Elena's sampling, the mean absolute deviation is 2. This shows that there is little variation among the data set.

The estimate becomes more accurate if she increase the sample size. Thus options A, B and E are appropriate.


Related Questions

Which of the following is a property of all squares?
A.
There is only 1 pair of parallel sides.
B.
All 4 sides are congruent.
C.
There are 4 acute angles.
D.
Consecutive angles are complementary.

Answers

Answer:D.All sides are congruent

The solution is:  a) Opposite sides are parallel, the following is true for all parallelograms.

What is parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Here, we have

a) In a parallelogram, opposite sides are parallel (which is why it is called a Parallelogram).

b) Opposite angles are congruent (not ALL angles). The only parallelograms where all of the angles are congruent are Squares and Rectangles.

c) Consecutive angles are supplementary so their SUM must be 180°. Therefore if one angle is less than 90° (acute), the other angle must be greater than 90° so it is not possible that all angles are acute (∠ 90°).

d) The sides do not have to be equal.  The only parallelogram whose sides have equal lengths are Squares.

Hence, The solution is:  a) Opposite sides are parallel, the following is true for all parallelograms.

To learn more on parallelogram click:

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complete question:

What of the following is true for all parallelograms? Opposite sides are parallel. All four angles are congruent. All four angles are acute angles. All four sides are equal in length.

can somebody please help, I want to say it's be, but I also think it might be D ​

Answers

Step-by-step explanation:

I think it's option B is the correct answer of this question.

can someone check if my answers are right? I got 6,-18,54,-162,486,1458​

Answers

Answer:

yes, you have it right except you need the 1458 negative

Step-by-step explanation:

Nice job getting them right!

Which of the following could be the interpretation of the distance vs time graph shown?
Which of these answers this Question, Is It 1, 2, or 3 that's in parentheses???


( 1.) A biker takes off on a course that begins with a small ramp. The biker bikes up a hill and across a flat portion of the course before heading down a steep descent.

( 2.) A driver leaver her house and slows down to make a stop at her neighbor's house. She then drives at a constant speed and stops at a house further down the street. After visiting with her neighbor, she quickly drives back home.

( 3.) A hiker begins hiking, but shortly after realized he left his water bottle in his car. He turns around to get his water bottle and then starts hiking again at a constant rate. The hiker stops for lunch at the furthest point of his hike and then hikes back at a quicker constant rate.​

Answers

Answer:

3

Step-by-step explanation:

If you notice the y is the change in distance, so #3 has the best explanation.

Wyatt buys a one-quart bottle of juice for $4.80. How many fluid ounces of juice did Wyatt buy?

Answers

Answer:

Step-by-step explanation:

Unit rate per fluid ounce = $0.15

Step-by-step explanation:

Given that:

Cost of one quart bottle of juice = $4.80

We know that:

One quart = 32 ounces

Unit rate is the rate in which two quantities are compared and one of them is one.

Unit rate =

Unit rate = $0.15 per fluid ounce

Hence,

Unit rate per fluid ounce = $0.15

Answer:

Wyatt bought 32 fluid ounces.

Step-by-step explanation:

If Wyatt bought a 1 quart bottle of juice, (which you would need to convert into fluid ounces) but every 0.1 quarts of juice would be 3.2 fluid ounces. And if 0.5 quarts of juice is 16 ounces we could do 16 + 16 (fluid ounces) and we would get 32 fluid ounces in total.

And that's how you get the answer! :)

9.(05.03 LC)
Which of the following statements best describes the graph of x + y = 3?
O It is a line joining the points whose x- and y-coordinates add up to 3.
It is a line joining the points whose x- and y-coordinates add up to 6.
O It is a line which intersects the x-axis at (3, 3).
O It is a line which intersects the y-axis at (3, 3).

Answers

Answer:

it's intersects the x axis at (3,3)

Answer:

Second choice is correct.  The coordinates of the points add up to 3

Step-by-step explanation:

only the first choice is correct.  The line intersects the x-axis at (3, 0), not (3, 3)

The line intersects the y-axis at (0, 3), not (3, 3)     x and y add up to 3, not 6

A drawer contains two pairs of red socks, three pairs of yellow socks, and one pair of black socks. One sock is taken from the drawer and put back after checking its color. A second sock is then taken out. What is the probability that the first and the second are yellow?​

Answers

Answer:

C) 1/4

Step-by-step explanation:

P(Y,Y) = 3/6 x 3/6 = 1/2 x 1/2 = 1/4

if the slopes of two lines are opposite reciprocals of each other, then what can be said about the lines?​

Answers

Answer:

"Theorem 106: If the slopes of two lines are opposite reciprocals of one another, or the product of their slopes is −1, then the lines are nonvertical perpendicular lines." - www.cliffsnotes.com

They lines are perpendicular to each other

Help! Isn’t true or false?

Answers

Answer:

True

Step-by-step explanation:

Tyler makes $17.50 an hour working 40 hours a week, 52 weeks a year at Epic Lady's Club. What is Tyler's monthly take home pay if 3% of his monthly take home pay is deducted by his employer towards retirement?

a
Approx. $91.00
b
Approx. $2,716.00
c
Approx. $3033.33
d
Approx. $2,942.33

Answers

Answer:

C

Explanation:

Approximately $3033.33

Please help me with the questions please ASAP

Answers

Answer:

x = 9/2 or 4.5

Step-by-step explanation:

In order to solve this problem, you first need to identify whether or not the two triangles formed in the image are similar; you can tell that they are similar by the AAA property because they share a vertex, and the other two angles are congruent because of the Corresponding Angles Theorem. Now that you know the triangles are similar, you need to identify the corresponding sides:

x + 6 corresponds to x

21 corresponds to 9 (21 because 30 - 9 = 21)

You can find the scale factor by dividing 21 by 9:

21 ÷ 9 = 7/3

Now that you know the scale factor, you can write and solve an equation:

7/3x = x + 6 (given)

4/3x = 6 (subtract x from both sides)

x = 9/2 (multiply both sides by 3/4)

question is in the pic​

Answers

Answer:

B

Step-by-step explanation:

because it goes (X,Y) and 1 the bottom line and 15 is the raise

Which are Funtions and which are not?

Answers

Answer:

a) T

b) T

c) F

d) F

e) F

f) F

g) T

h) T

i) T

True or false? The experimental probability or relative frequency is based on actual results from an experiment and may differ from the theoretical probability of an event occurring. The Experimental Probability will be almost the same as the Theoretical Probability as the number of trials of an experiment is very small

Answers

Answer:

a. False

b. False

Step-by-step explanation:

a. The experimental probability or relative frequency is based on actual results from an experiment and may differ from the theoretical probability of an event occurring.

This statement is false because, both the experimental and theoretical probability must agree for the probability of the event occurring to the true.

If both do not agree, that means we have two different probabilities for a s ingle event, which cannot be true. So, the statement is false.

b. The Experimental Probability will be almost the same as the Theoretical Probability as the number of trials of an experiment is very small

This statement is also false because, the experimental and theoretical probabilities only agree when the number of trials of an experiment become large. For small number of trials, both the experimental and theoretical probabilities might not agree.

Look at the angle below. What fraction of the circle does the angle
45°
45
360
45
180
45
100
45
315
HELP PLEASE!

Answers

Answer:

45/360

Step-by-step explanation:

A circle is 360 degrees all around. When the angle is 45 degrees around a circle, it takes up 45 degrees of the full 360 degrees in a triangle. When put in a fraction, the answer will be 45/360.

(2x^3+4x^5)^2 =


HELP

Answers

Answer:

4x⁶(1+2x²)²

Step-by-step explanation:

Factor out the common term 2x³

Use Multiplication Distributive Property: (xy)^a=x^a y^a

Simplify 2² to 4

The use the power rule and you get 4x⁶(1+2x²)²

(-3x)^2

wbat is this please ​

Answers

if you want me to solve (-3x)²

the answer is 9x²

Answer:

answer in the picture.......

PLEASE ANSWER ASAP. I'LL GIVE BRAINLIEST
Prove: If two chords of a circle have a common endpoint and form congruent angles with the radius drawn to that endpoint, then the chords are congruent.

Answers

Answer:

.

See the diagram attached below.

Let the chords be AB and AC with common point A.

AD is the diameter. Join B with D and C with D to form two triangles.

We need to prove that AB=AC.

\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}

In △ABD and△ACD;

Given that ∠BAD=∠CAD−−−−(condition 1)

since AD is diameter,∠ABD=∠ACD=90

0

So ∠ADB=∠ADC−−−−−−−−(condition 2)

AD=AD (common side)−−−−−(condition 3)

So the triangles are congruent by ASA rule.

Hence AB=AC.

The solution to which system of equations has an x-value of 3?
(A) x + 2y =-1; y=3x + 3
(B) 3x – Y= 2; x + 2y=-1
(C) y= 3x + 3; 230 + 3y=0
(D) 2x + 3y=0; x + 2y=-1

Answers

Answer:

D)

Step-by-step explanation:

A shelf has different sizes of bottles of laundry detergent. This line plot shows the number of cups of laundry detergent in each bottle. Eric buys the kind of detergent that has the most bottles. He uses 18 cup for every load of laundry he does. How many loads of laundry can Eric do with his bottle of laundry detergent? Enter your answer in the box. Loads

Answers

Answer:

2 / 3 loads

Step-by-step explanation:

From. The plot, we can conclude that, the detergent that has the most bottles is that with 5 ; the number of cups in the detergent with 5 bottles is 12 cups

Number of cups used for each load of laundry = 18 cups

The loads of laundry Eric can do is thus :

Number of cups of detergent / number of cups used for each load of laundry

= 12 / 18

= 2 / 3 loads

Answer:

1 1/2

Step-by-step explanation:

I took the test

14) What is John's net worth?*
6 points
Refer to the table below that shows several of John's
assets and liabilities.
Item
Value (5)
house payoff
car (paid off)
cash
32,695.00
7,000.00
728.65
3,415.00
savings
borrowed from
parents
credit card debt
2,680.00
1,207.80
900.00
Jewerly (owned)
O $12,043.65
O $36,582.80
$24,539.15
-$24,539.15

Answers

Answer:

add'em all up

Step-by-step explanation:

Question is in the picture

Answers

Answer:

bottom right 8 x 10^1

Step-by-step explanation:

multiply the numbers (2x4 is 8)

add the exponents of 10 (-3+4 is 1)

so the answer is the bottom right 8 x 10^1

could some please help me with this?

Answers

C: 20 m/s


Explanation:
Distance run: 1000m
Time passed: 50s
Distance divided by time equals speed.

1000m / 50s = 20 m/s

Answer: C

Step-by-step explanation:

S(speed)=D(distance)/T(time) so (d)1000/(t)50= 20m/s

Which rational number is negative?
A. 2
B. -12/-18
C. +1/+2
D. +3/-12

Answers

D, the rest are all positive

i don’t know what you tried to put in that image but it’s all black

لان
GEOMETRY The measures of two sides
2x2+x6y
of a triangle are given on the triangle at the
right. If the perimeter of the triangle is
6x2 +
+ 8y, find the measure of the third side.

Answers

Answer:

sihhhhjjjjuuuuuuuuuuuuuuii

PLS ANSWER
WILL GIVE BRAINLIEST

Answers

Answer:

10 days.

Step-by-step explanation:

If you just multiply 5 days x 2 it doubles 25 liters which is pretty simple, and doesn't need to much explanation. I hope that helps :)

Please help me please:(

Answers

Answer:

10

Step-by-step explanation:

Count from side to side. Point A to the arrow on the right, then point B to the arrow on the right, then point C to the arrow on the right, then point D, then point E. That's only one side, so double those five rays and you get ten (10). I was confused about this too at one point. You got this :)

-3w-3x-7w+4x-2w
please answer this​

Answers

Answer:

Solution

−12+

I know it LOL

Which is the BEST estimate of the quotient of 149 divided by 33?

Answers

Answer:

5

Step-by-step explanation:

The quotient of 149 divided by 33 is 4.51.

What is the quotient?

The quotient is the number that is generated when we perform division operations on two numbers.

The given fraction is;

[tex]\dfrac{149}{33}[/tex]

The quotient of 149 divided by 33 is given by;

[tex]=\dfrac{149}{33}\\\\= 4.51[/tex]

Hence, the quotient of 149 divided by 33 is 4.51.

Learn more about quotient here;

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HELP HELP ASAP ASAP WILL GIVE EXTRA POINTS
*the system of equations are “y=-6x+10
7x-5y =24”

Answers

the answer is (2,-2)
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