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 62 inches, and the MAD (mean absolute deviation) is 2 inches. SELECT ALL TRUE STATEMENTS.
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
c. The mean height of these 20 students is likely to be the same as the mean height of all students in the district.
d. The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.
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.
The statements that are true are:
- Another random sample of 20 students is likely to have a mean between 57 and 65 inches
- 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.
Options B and E are the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
a.
The median height of the sample must be between 59 and 63 inches.
This statement cannot be determined based on the given information.
The MAD provides information about the variability of the data, but not necessarily about the location of the median.
b.
Another random sample of 20 students is likely to have a mean between 57 and 65 inches.
This statement is likely to be true.
Since the sample mean is 62 inches and the MAD is 2 inches, it is reasonable to expect that another random sample of the same size would have a similar mean, within a few inches.
c.
The mean height of these 20 students is likely to be the same as the mean height of all students in the district.
This statement is uncertain.
The sample mean can be a good estimate of the population mean if the sample is representative, but we cannot be certain without more information about the sampling method.
d.
The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.
This statement is uncertain.
The mean of a second random sample of the same size could be different due to random sampling variation.
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.
This statement is likely to be true.
Generally, larger sample sizes tend to provide more accurate estimates of population parameters, as they are less affected by random sampling variation.
Thus,
The statements that are true are:
- Another random sample of 20 students is likely to have a mean between 57 and 65 inches
- 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.
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Can you find the mean and median of the data? Besides yes or no, please explain.
An account with $600 earns 4% simple interest per year. The next year all the money is put into a new account that earns 4.5% simple interest per year. How much money does the account have at the end of the second year? Explain.
The amount of money the account has at the end of the second year will be $51.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Given that An account with $600 earns 4% simple interest per year. The next year all the money is put into a new account that earns 4.5% simple interest per year.
The amount for the first year will be:-
$600 x 0.04 • 1 year
600 x 0.04 = 24 • 1 = 24
The amount for the second year will be:-
$600 x 0.045 • 1 year
600 x 0.045 = 27 1 = 27
For the second year = 24 + 27 = $51
Therefore, the amount of money the account has at the end of the second year will be $51.
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Please I need help! I'll give brainiest please! And explain how you got your answer please!
Answer:
27
Step-by-step explanation:
You solve the parentheses then multiply that by 9 and divide by 4.
The first angle in a quadrilateral is 150 degrees. The second angle in the quadrilateral is 30 degrees.
The other two angles are congruent.
What are the angle measurements, in degrees, of angle 3 and angle 4?
Answer:
angle three is 30 degrees (depending on what kind of quadrilateral it is)
angle four is 150 degrees
Step-by-step explanation:
150+30
180 and if the other two are congruent meaning equal too
than they must also be 180 degrees in totale on the other side as well.
Find the area of a circle that has a radius of 8 centimeters. Use 3.14 as an approximation for it.
Round your answer to the nearest hundredth.
Answer:
pie radius squared = 64 pie = 201.06 so the 200 one
HELP ME ASAP PLEASEEEEEEE
a) according to the map on the left, Central Park is about 50 blocks long by 9 blocks wide. what is the approximate area of the park? show your work.
b)lets say the area of the map is 21 square inches. you want to make q enlarged map of central park to take with you on your journey. describe how you can determine the area of the the enlarged map.
c)supposed the scale factor you will use to enlarge the map is 5:1. what is the approximate area of the park of the park in your enlarged drawing.
d) how did you apply proportional reasoning as you worked through these problems?
Answer: a) about 450
Step-by-step explanation:
50 multiplied by 9 is 450 and its asking for an approximate so it would be anything near 450
Which box plor represents a set of data that has the greatest mean absolute deviation?
Answer:
the last box represents a set of data
Andre looks at a box of paper clips. He says: “I think the number of paper clips in the box is less than 1,000.”
Lin also looks at the box. She says: “I think the number of paper clips in the box is more than 500.”
Write an inequality to show Andre's statement, using p for the number of paper clips.
Write another inequality to show Lin's statement, also using p for the number of paper clips.
Do you think both Lin and Andre would agree that there could be 487 paperclips in the box? Explain your reasoning.
Do you think both Lin and Andre would agree that there could be 742 paperclips in the box? Explain your reasoning.
Answer:
andre: p<1000
Lin: p>500
they would not agree that there are 487 paperclips because both of there guesses are greater than that. they would both agree that there are 742 paperclips because 742 is greater than 500 but less than 1000.
If 5 lemons cost $1.95 and the price of each lemon is the same, how much does each lemon cost?
Answer:
$0.25
Step-by-step explanation:
HEEEEEELLLPPPP, I'LL MARK YOU THE BRAINLIEST IF YOU GET THE ANSWER RIGHT
Write a rule that Linda can use to figure out how many cups of chocolate she needs for any number of cups of cream when making Super Truffles.
pls help
Please help i dont know this
im confused
help fast!!! (gives extra points)
Last month, Teresa earned a total of $175 and saved 18 cents of every dollar she earned. Determine the amount she saved from her earnings last month.
Answer:
Step-by-step explanation:
1/5x + 13= x- 107
can yall plz help me whit this question
Jackson is able to craft in Minecraft A cake is crafted from a recipe that requires 3 milk, 2sugar, 1egg and 3wheat. If Jackson crafts 4 cakes how many of each resources does he need?
Answer:
Jason needs: 12 milk, 8 sugar, 4 eggs, and 12 wheat.
Step-by-step explanation:
multiply every number by 4.
Answer:
12 mills 8 sugars 4 eggs 12 wheat
Step-by-step explanation:
PLS PLS PLS HELP I WILL GIVE BRAINLIEST!!
Answer:
[tex]-\frac{9}{11}[/tex]
Step-by-step explanation:
[tex]-\frac{6}{11} + -\frac{3}{11} = -\frac{6}{11} - \frac{3}{11} = -\frac{6+3}{11} = -\frac{9}{11}[/tex]
will give brainliest
one side of a trapezoid is extended and the dotted line forms a right angle with the extended line. use given information to find measurement of angle p.
answers are:
A. 30°
B. 45°
C. 60°
D. 120°
Answer:C
Step-by-step explanations:
because its acute duhhh
Can someone help me please
HELP ASAP PLEASE!!!!
Answer:
answer is 16 degree x=16
PLEASE HELP WILL MARK BRAINLIEST
Answer:
$4
Step-by-step explanation:
Pete and Teegan each put an amount of $P in a new bank account.
Teegan's account earns 2.75% simple interest, earned $2.20 in interest after one year.
Write p x 2.75/100 = 2.20 so p = 80$ and $80 in Pete's account earns 5% simple interest.
after one year Pete will earn as interest 80 x 5/100 = 4$
Can someone tell me the answers please? thanks :D
Answer:
10. {5/8, 0.7, 0.755}
11. {-3.12, -3, 1 1/2}
12. {-2.98, -2 9/10, 2.88}
13. {4/5, 0.82, 5/6}
14. {-1 2/5, -1.20, -1.02}
15. {2 5/10, 2 3/5, 2.7}
10. {5/8, 0.7, 0.755}
11. {-3.12, -3, 1 1/2}
12. {-2.98, -2 9/10, 2.88}
13. {4/5, 0.82, 5/6}
14. {-1 2/5, -1.20, -1.02}
15. {2 5/10, 2 3/5, 2.7}
Answer:
Step-by-step explanation:
(Will give BRAINLIEST if answered adequately) PLEASE answer number 12 and EXPLAIN how you got the answer.
Answer:
The graph of the line shifts horizontally left 2 units.
Step-by-step explanation:
Two students determined the value of this equation as shown below.
2x – (3x + 5) + 2 = 5x – 14
[picture below]
Describe any errors made when solving the equation by Student A.
Describe any errors made when solving the equation by Student B.
Show a complete set of correct steps to determine the solution to the equation.
20 POINTS DONT GUESS
The homeowners association wants to enclose the playground in
a fence. How much fencing will they need to purchase?
Is this question finding the area, circumference, or neither?
A. area
B. circumference
C. neither
Answer:
C) neither (unless the playground is a circle), you would want to know the perimeter
Step-by-step explanation:
Clare bought a bag of 84 sour candies. She ate s of the candies. Write an expression that shows how many sour candies Clare has now.
Type an asterisk ( * ) if you want to use a multiplication sign and a slash ( / ) if you want to use a division sign.
△ PQR is rotated by 180° in a counterclockwise direction about the origin to obtain △ P′Q′R′. What are the coordinates of △ P′Q′R′?
Answer:
it is A
Step-by-step explanation:
Which of the following is the product of a difference of squares?
Answer:
A
Step-by-step explanation:
2 2/3 times 4/5 PLEASE HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
32/15
Step-by-step explanation:
2 2/3 = 8/3
8/3 x 4/5 = 8x4/3x5 = 32/15