A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was 516 with a margin of error of 20. Write a confidence interval for the true mean SAT score of the graduating high school seniors.

Answers

Answer 1

A confidence interval for the true mean SAT score of the graduating high school seniors will be (496; 536)

What is a confidence interval?

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics.

Mean score ± margin of error

Margin of Error = 20

Mean SAT score = 516

Hence,the confidence interval will be:-

=  516   ±  20

Lower boundary  =  516   -   20  = 496

Upper boundary  =  516   +  20  =  536

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Related Questions

solve the expression 8+(9x1/3) divided by 3

Answers

Answer:

9

Step-by-step explanation:

8+(9x1/3) /3

=8+3/3

=8+1

=9

negative using self reported delinquency

Answers

Answer:

Your question does not make sence

Students measured the length of different earthworms using centimeters (cm).The lengths were:

14 cm, 12.5 cm, 13 cm, 18 cm, 17 cm, 16.75 cm, 19 cm, 12.5 cm, 15 cm

If the students were asked to describe the difference in length of the worms, which answer would be best and why? (5 points)

Group of answer choices

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length

12.5 cm; this is found by determining the mode which is found by finding the number that occurs most frequently in a data set

15 cm; this is found by determining the median which is found by ordering the numbers from least to greatest and finding the middle number

15.3 cm; this is found by determining the mean which is found by finding the sum of all of the lengths and dividing by the total number of worms

Answers

The correct option regarding the difference in the length of the worms is given by:

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.

What is the range of a data-set?

It is given by the difference of the highest value by the lowest value in the data-set.

In this problem, the difference is exactly what we want to estimate, hence we need to consider all measures(which removes the mode and the median), and find the largest lowest and the highest, which is the range, hence:

19 cm - 12.5 cm = 6.5 cm.

Which means that the correct option is given by:

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.

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A square pyramid with a side length of 5 cm and a slant height 7 cm has a total surface area of ...?

Answers

Step-by-step explanation:

there are two types of collective internal and external

The probabilities for four different simple events are given. Of the four, which is LEAST LIKELY to occur?

Question 1 options:

0.01


0.35


0.5


0.9

Answers

Answer:

Step-by-step explanation:

We are supposed to find the least likely, which means we are looking for the smallest number.

.9 is the largest

.5 is next

.35 is second to smallest

A is the answer 0.01

Still stuck? Get 1-on-1 help from an expert tutor now.

What is the slope of the line?

Answers

Answer:

slope = 2 / 3

Step-by-step explanation:

slope = rise / run

rise = 2

run = 3

slope = 2 / 3

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = 5x/6 +5

Step-by-step explanation:

Points (-6,0) and (6,10)

Getting the slope

m = 10-0/6- (-6)

m=10/12

m=5/6

Solving for the equation:

where (-6,0) :

y-y1=m (x-x1)

y-0 = 5/6 (x- (-6))

y = 5/6 (x-+6)

y = 5x/6 +5

Answer:

y = 5x/6  + 6

Step-by-step explanation:

equation of a line is y = mx +b

m is the slope.

m = (y2- y1)/(x2-x1)

if we choose any two points in the line of the image..

p1 (6,10) -> x2 is 6, y2 is 10

p2 (0,5) -> x1 is 0, y2 is 5

m = (10-5)/(6-0)

m = (5)/(6)

m = 5/6

b is calculated when x = 0. (Where the line intercepts the y axis), Looking at the line in the image I can see that y = 6 when x = 0, so b =  6.

We have then

y = mx +b

y = (5/6)x  + 6

y = 5x/6  + 6

PLSS HELP ME WITH THIS !! 20 POINTSS

Answers

Answer: constant of proportionality = 2.5

whats the next term of arithmetic sequence 24,16,8,0

Answers

Answer:

-8, 16, ...

Step-by-step explanation:

You are subtracting 8 everytime. Therefore, you would go into negatives from here.

Answer:

24, 16 , 8 , 0

\/ \/ \/

-8 -8 -8

Step-by-step explanation:

for you to get 8 you subtract the first term with the second term

Question 2 of 10
The expression √3x is equivalent to the expression x√3.

Answers

Answer:

See below

Step-by-step explanation:

[tex]\sqrt{3}[/tex] x   IS equivalent to   x [tex]\sqrt{3}[/tex]

[tex]\sqrt{3x}[/tex]    is NOT equivalent to  x [tex]\sqrt{3}[/tex]

A packet of biscuits is shared between two people so that
one person gets three times as many as the other. Write
down the ratio involved. If there are 20 biscuits in the
packet, how many does each person get?

Answers

Answer:

Ratio 3 : 1

First person 5 biscuits 

Second person 15 biscuits 

Step-by-step explanation:

“one person gets three times as many as the other”  means  “the ratio is 3 to 1 or just 3 : 1”

………………………

Let x be the number of biscuits that the first person got then the second person should get 3x biscuits.

It’s clear that we have to solve this equation:

x + 3x = 20

Solving:

x + 3x = 20

⇔ 4x = 20

⇔ x = 20/4 = 5

Final answer:

First person: 5 biscuits

Second person: 3×5 = 15 biscuits

Which of the sets of ordered pairs represents a function? (5 points) A = {(2, −2), (5, −5), (−2, 2), (−5, 5)} B = {(4, 2), (4, −2), (9, 3), (9, −3)} Group of answer choices Only A Only B Both A and B Neither A nor B

Answers

Answer:

A

Step-by-step explanation:

which value make the inequality c+10<17

Answers

Answer:

c < 7

Step-by-step explanation:

Given inequality:

c + 10 < 17

Subtract 10 from both sides:

⇒ c + 10 - 10 < 17 - 10

c < 7

Let's solve

c+10<17c<17-10c<7

The solution set is

(-oo,7)

512=-4(-2)^n-1 find n in geometric sequence

Answers

Answer:

n = 8

Step-by-step explanation:

512/-4 = -128

-2^? equals -128? Has to be odd since it's negative

-2^1 = -2

-2^3 = -8

-2^5 = -32

-2^7 = -128

But it's -2^n-1 = -128 so you have to add 1

7+1 = 8

So n=8

Answer:

n = 8

Step-by-step explanation:

Rearrange the equation to find n:

512/-4 = [tex](-2)^{n-1}[/tex]

-128 = [tex](-2)^{n-1}[/tex]

[tex](-2)^{7}[/tex] = -128

So, n-1 = 7

n = 8

HELP ASAP!! AND PLEASE EXPLAIN! The pyramid has a square base of 230 meters on each side and a height of 147 meters. Find the volume of the pyramid if the slant height is 186.63 meters.

Answers

Answer:

2,592,100 m³

Step-by-step explanation:

Volume of Square Pyramid

V = 1/3a²hV = 1/3(230)²(147)V = 49 x 52900V = 2,592,100 m³

If Sam invested $3,000 and he earned $300 over six months, the return is _____.

six months
$3,300
$300
$3,000

Answers

Answer:

ROI = 10.00%

Step-by-step explanation:

Investment Gain = $300.00

ROI = 10.00%

Annualized ROI = 21.00%

Investment Length = 0.50 years

Researchers wanted to study if having a long beak is related to flight in birds. They surveyed a total of 34 birds. The data are shown in the contingency table below. What is the odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly? Round your answer to two decimal places.



Long beakNot a long beakTotalFlies11719Does not fly31315Total142034

Answers

The odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly is 3.76.

What is an odds ratio?

An odds ratio is a measure of the strength of an association with the exposure and outcome.

The odds ratio can be calculated by dividing the odds of the first group (exposure) by the odds of the second group (outcome).

Data and Calculations:

Contingency Table

                              Flies      Does not fly     Total

Long beak               11               7                     19

Not a long beak      3              13                     15

Total                       14             20                    34

Probability of long beaks flying = 0.79 (1/14)

Probability of not having long beaks flying = 0.21 (3/14)

Odds ratio = 3.76 (0.79/0.21)

Thus, the odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly is 3.76, showing greater odds of association.

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Answer:

Step-by-step explanation:

6.81

A triangle has 2 angles that each measure 79º.
What kind of triangle is it?
O A. isosceles triangle
OB. equiangular triangle
OC. obtuse triangle
OD. right triangle

Answers

Answer: A ; Isosceles Triangle.
Explanation: You have two angles that are equal (79) on each side in which 2 equal angles.

URGENT! please answer. i'll give 5 stars + brainilest if correct

To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level)
b
=
560
meters from the base of the mountain to the top of the mountain is
β
=
51

. The students then walk
a
=
1850
meters straight back and measure the angle of elevation to now be
α
=
34

. If we assume that the ground is level, use this information to estimate the height of the mountain.



The height of the mountain is
_____ meters.

Answers

Answer:

times the nimbers

Step-by-step explanation:

240

Stanley walks a round-trip of 1.75 miles to work every day. How many miles will he walk in 5.5 days

A. 9.625 miles

B. 96.25 miles

C. 962.5 miles

D. 9625 miles

Answers

Multiply miles per day by number of days


5.5 x 1.75 = 9.625


answer: A. 9.625 miles

Answer: A ; 9.625
Explanation: 1.75 x 5.5 = 9.625

Margot has 8 kilograms of apples.how many liters Of apple juice can Margot make. How do l do this?????

Answers

Answer:

so about 4?

Step-by-step explanation:

1 kilogram = 1,000 grams

2 kilograms = 2 times 1,000 which equals 2,000 grams

2,000 grams makes one liter

uhh this is just an educated guess...

Wrote 7/19 as a percent round to the nearest tenth of a percent

Answers

Answer:

36.8

Step-by-step explanation:

Hope this should do the trick if you can find this answer; 36.8.

Need help with this topic

Answers

Answer: 243 ft^2


Explanation:

width = x
length = 3x
P = length + length + width + width
72 = 3x + 3x + x + x
72 = 8x
x = 9

width = x = 9
length = 3(x) = 3(9) = 27

area = (length)(width)
area = (27)(9)
area = 243 ft^2

Order the following from least to greatest.

0.98, 3/5, 4, 1/2, 0.4

Answers

Answer:

.4, 1/2, 3/5, .98, 4

Step-by-step explanation:

give me brainliest please

The temperature fell 3.25 degrees every hour. Find the change in temperature after 5 hours

Answers

Answer:

The temperature would fall by 16.25°

Step-by-step explanation:

If it's 3.25 every hour and there are 5 hours total just multiply. 3.25 x 5 = 16.25.

A right triangle has a 120° angle and 190° angle. What is the measure of the third angle?

Answers

Answer:

i measures of the third angle is 18degrees

Find the area of the figure. Round to the nearest hundredth where necessary.
55 mm
32.5 mm
12.5 mm
12.5 mm

Answers


[tex]\bold{ANSWER:}[/tex]
746 mm^2

[tex]\bold{SOLUTION:}[/tex]

Please assist with a question I am stuck on.

Answers

The two linear equations in this problem are:

a) d(t) = (3.1 mi/h)*tb) t(d) = d/(3.1 mi/h).

How to find the linear equations?

a) First, we know the relation:

distance = speed*time.

In this case, we know that the speed is 3.1 miles per hour, so if the runner runs for t hours, we can write:

d(t) = (3.1 mi/h)*t

This is the linear equation that gives the distance as a function of time.

b) Now we want to get the time as a function of the distance, so we just need to isolate t,

t(d) = d/(3.1 mi/h).

This linear equation gives the time as a function of the distance d.

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If Mrs. Hamm divides 7 pounds of potting soil equally into three flower pots, what is the weight of potting soil in one flower pot? A) 3 7 pound B) 7 3 pounds C) 3 1 7 pounds D) 7 1 3 pounds

Answers

The weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have total weight of the potting soil = 7 pounds

It is divided equally into three flower pots.

So each pot contains = 7/3 potting soil

Thus, the weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

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15. A cone has a radius of 9 cm and slant height of 12 cm. Find its surface area.
A. 593.46 cm²
B. 693.46 cm²
C. 793.46 cm²
D. 893.46 cm²​

Answers

Answer:

594

Step-by-step explanation:

A=πrl+πr²

(22/7×9×12)+(22/7×9²)

=594

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