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 447 with a margin of error of 21. Write a confidence interval for
the true mean SAT score of the graduating high school seniors.

Answers

Answer 1

Answer:

(426 ; 468)

Step-by-step explanation:

Confidence interval :

Mean score ± margin of error

Margin of Error = 21

Mean SAT score = 447

Hence,

447 ± 21

Lower boundary = 447 - 21 = 426

Upper boundary = 447 + 21 = 468

(426 ; 468)


Related Questions

Is the relation a function.

X Y
-2 2
-1 1
0 4
1 3
0 2

Select one:

No

Yes

Answers

Answer:

no its not a function

Step-by-step explanation:

the x-int. repeats its self

A skateboard was originally priced at $53.00. It is on sale for 15% off. What is the sale price of the skateboard?

Answers

Answer:

STEP BYy-step explanation:

I need help with this to! When i get the answer ill let ya know

We have given that skateboard was originally priced at $53.00.

It is on sale for 15% off.

We have to determine the sale price of the skateboard.

The discount is 15%.

So we have to find 15% of $53.

What is the method to converting the percentage into desimal ?

Divide the percentage by 100 so we will get the the desimal form of percentage.

convert 15% into desimal

[tex]\frac{15}{100}=0.15[/tex]

Multiply 0.15 by original price,

[tex]0.15\times 53=7.95[/tex]

The original price discounted by this amount

Therfore he save $7.95

Sale price=53$-7.95=45.05

Therefore we get the salling price is $45.05.

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Tom is building a pool. He plans to dig a hole 20 feet wide and 50 feet long. He wants the pool to hold 7500 cubic feet of water. How deep must he dig the hole?

Answers

Answer: 7.5 feet

Step-by-step explanation:

.

what is the area of the truck? ​

Answers

Answer:

yes because the truck is smaller than the parking space. the area is 66.25 sq. ft

Step-by-step explanation:

At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 5 48 22. 8 12. 5 What is the probability that a customer ordered a large given that he or she ordered a hot drink? Rounded to the nearest percent, [ ? ]%​

Answers

Answer: 29%

Step-by-step explanation:

This is correct on acellus :)

The probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .

What is Probability ?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Probability Formula = f/n

where,

f is the number of times an event occurs

n is the total number of trials

The probability is represented as:

P(Large | Hot)

This is calculated using:

P(Large | Hot) = n(Large and hot)/n(hot)

Using the data on the given table, we have:

P(Large | Hot)  = 22/(8 + 12 + 5)

P(Large | Hot)  = 0.88

In percentage

P(Large | Hot)  = 88%

Hence, the probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .

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hii! i’ll give brainliest pls help

Answers

Answer:

flood is the answer fycgguvvytugcut because snow turns into water

It hi John it’s E,,,,,,,,mmm

Find the height of the pyramid.
Volume = 198 yd
9 yd
11 yd
The height is yards.

Answers

Answer:

12 yards

Step-by-step explanation:

h = (3×198)/(½×11×9)

= 594/(49.5)

= 12 yds

Write the equation 8x-2y=10 in slope intercept form.

Answers

Answer:

[tex]y=4x-5[/tex]

Step-by-step explanation:

Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:

[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]

Please I need help!!!!

Answers

Answer:

(9-7)

Step-by-step explanation:

1st

Vertex

we have

f(x)=x²-18x+88

let

y=x²-18x+88

comparing above equation with ax²+bx+c

we get

a=1

b=-18

c=88

now

vertex(x,y)=(-b/2a,f(-b/2a))

x=(18/2×1)=9

y=f(9)=9²-18×9+88=7

SO

VERTEX(X,Y)=(9,7)

Simply by adding like terms: -7x^2*y*z + 3y*z^2 - z*x^2*y - 4y

Answers

9514 1404 393

Answer:

  -8x^2·y·z +3y·z^2 -4y

Step-by-step explanation:

It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...

  x^2 y z

  y z^2

  x^2 y z

  y

Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.

  = -8x^2·y·z +3y·z^2 -4y

61, 21, 80, 46, 37, 70, 59, 65, 46, 39, 17, 87, 3, 10 Calculating the Mean, Median, Mode and Range of Data

Answers

Answer:

Mean: 45.8 (rounded to the tenth place)

Median: 46

Mode: 46

Range: 84

Step-by-step explanation:

Solve -17 = for x. x =

Answers

Answer:

-17

Step-by-step explanation:

classify this relation as direct, inverse, or neither. if possible, find the constant.​

Answers

Answer:

inverse, 50

Step-by-step explanation:

By looking at this, we can realize that it cannot be direct, because the y value does not increase when the x value does. Furthermore, we can realize that when the x and y values are multiplied, they all equal 50. This is a property of inverse variation. This means the relation is inverse. Lastly, the constant is 50 because that is the common product.

Option 4 inverse 50
Have a good day good luck

Which name best describes the polygon with vertices (0,0), (4,8), (12,8) and (16,0)?


A. Trapezoid
B. Square
C. Triangle
D. Pentagon


Answers

The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A

How does a Trapezoid look like?

A trapezoid is a four-sided flat polygon.

It has two parallel sides that has different lengths. The other two sides are non-parallel and  also does have lengths.

A trapezoid has four angles, two of which are acute and two of which are obtuse.

A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.

The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.

|             o                          o

|
|
|
|
|
|

|o___________________________o_

If you connect the "o" which represents the coordinates, you will draw a Trapezod.

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12, 15, 18, ...
Find the 32nd term.

Answers

105 is the 32nd term
The answer for the 32nd term is 105

The volume of a right square prism is 588 cubic centimeters and its height is 12 cm. What is the length of each side of the base

Answers

Answer:

7cm

Step-by-step explanation:

588 / 12 = 49

[tex]\sqrt{49}[/tex] = 7 * Since 7 times 7 equals 49

In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term

Answers

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

1. Find the value of x. The diagram is not to scale.​

Answers

Answer:

64

Step-by-step explanation:

As the angle in the bottom is shared and the 2 sides are proportional, one is 40 and 80 (times 2) and the other, 25 and 50 (times 2) so the triangles are similar so all we do is multiply 32 by 2 as its the rule. So the answer is 64.

WHO HERE'S GOOD AT MATH AND CAN HELP ME???

Answers

Answer:

100,000-110,000 pounds

Step-by-step explanation:

one ton equal to 2000 pounds

50x2000=100000

55x2000=110000

100,000-110,000 pounds

If this helps please mark as brainliest

Answer:

100,000-110,000

Step-by-step explanation:

2000x50= 100,000

2000x55= 110,000

PLEASE I GIVE BRAINLIRST PLEASE HELP I NEED TO OASS THIS





Evan wants to add a flower box at the edge of the garden. He decides to paint the box. The flower box is open on
The box is 16 inches long. 6 inches wide, and 8 inches the top and does not need to be paintes. What is the
high
minimum amount of paint he will need?
Evan will need enough paint to cover
What is the maximum amount of soil he will need to fill
Bin
the box
The maximum amount of soillis

Answers

Answer:

Evan needs enough paint to cover 448in^2

He needs enough soil to fill 768in^3

Step-by-step explanation:

What is the width of the rectangle?
30y

60y4

Answers

Answer:

2 y^3

Step-by-step explanation:

Area of rectangule is length * width

James sells two types of cupcakes. A basic chocolate cupcake is $2,75. His speciality chocolate covered strawberry cupcake is $3.75. He knows that he sold 185 cupcakes over the
weekend and made $586.75, but he lost the paper that told him how many of each type of cupcake he sold. How many chocolate cupcakes and chocolate covered strawberry cupcakes
did he sell over the weekend?

Answers

Answer:

107 chocolate cupcakes sold

78 chocolate covered strawberry cupcakes sold

Step-by-step explanation:

to solve one of these questions, you need to write two equations and then substitute back and forth to get the answer.

to start, we need to write an equation.

2.75c+3.75s=586.75

and c+s=185

reworking the second equation to isolate s, we'll then substitute it into the first one.

so s=185-c

2.75c+3.75(185-c)=586.75

2.75c+693.75-3.75c=586.75

combine like terms (the ones with a c variable attachment)

2.75c-3.75c=-1c

693.75-1c=586.75

-693.75

-107=-1c

/-1

107=c

put that back into the second equation

107+s=185

78=s

If the diameter of a circle is 20 cm, what is the area? 10π cm2 20π cm2 50π cm2 100π cm2

Answers

Answer:

Half of 20 is 10(new radius)

10^2(radius being squared) = 100

Next step is to multiply by pi

100π cm2

Step-by-step explanation:

Formula of area of a circle:

πr^2

pi x radius squared

4−32⋅(−0.25)−12÷13, what's the answer?

Answers

the answer is 144 over 13
144/33 is da anwser kkkk

what is the area of the trapezoid ​

Answers

Answer:

A=2132

Step-by-step explanation:

Solution

A=a+b/ 2h=44+8/ 2·82=2132

PLEASE HELP ME PLEASE!!!!

Answers

Answer:

45\

Step-by-step explanation:

it will be 8 units

hope it helps

Sophia started a lawn mowing business and charges a flat fee of $5.00 plus $3.50 per hour.
Sophia made $29.50. Which equation can be used to calculate the number of hours, h, that Sofia worked?

Answers

Answer:

5 + 3.5h = 29.50

Step-by-step explanation:

The flat fee means that you will be paid the money with no change to it.

So you will not multiply it.

3.5h means that you are adding 3.50 every hour according to the question

So summary:

5+3.5h = 29.50

Evaluation:

5+3.5h = 29.50

24.50 = 3.5h

h = 7

Sofia worked 7 hours

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K


Which quadratic equation has roots of 5 and 7

Answers

Answer:

D

Step-by-step explanation:

Given the root of a quadratic equation x = a then the factor is (x - a)

Here the roots are x = 5 and x = 7 , then the corresponding factors are

(x - 5) , (x - 7)

The equation is then the product of the factors, that is

y = (x - 5)(x - 7) ← expand using FOIL

   = x² - 7x - 5x + 35 ← collect like terms

y = x² - 12x + 35 → D

The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].

How to find the roots of a quadratic equation?

Suppose that the given quadratic equation is

ax^2 + bx + c = 0

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

It is Given the root of a quadratic equation x = a then the factor is (x - a)

Here the roots are x = 5 and x = 7 , then the other factors are

(x - 5) , (x - 7)

The equation is then the product of the factors,

[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]

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Choose the congruence theorem that you
would use to prove the triangles congruent.

AAS

ASA

SSS

SAS

Answers

AAS because it has two angles and a side

Answer :

ASA

ASA stands for “Angle, Side, Angle”. ASA refers to any two angles and the included side.

Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches

Answers

The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.

To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.

In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:

diagonal = √(side^2 + side^2 + side^2)

Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:

diagonal = √(7^2 + 7^2 + 7^2)

diagonal = √(49 + 49 + 49)

diagonal = √147

diagonal ≈ 12.124 inches

Therefore, the correct answer is:

12 inches

This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.

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