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Vitek1552 [10]
3 years ago
8

A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standa

rd deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 5% of 75%. Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.
Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

Answer:

the confidence interval is 90 % 0.05 < p < 0.75

and margin of error is 35 %

Step-by-step explanation:

Since 9 out of 10 students is 90 % so the confidence interval is 90 %

Range of Confidence Interval = 2* ME where ME = Margin of Error

0.75 - 0.05 = 2* ME

0.7 = 2 * ME

0.7 / 2 = ME

0.35 = ME or

ME = 35 %

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Eight people go to a movie. Adult tickets cost $15 and children's tickets cost $8
Reptile [31]

Answer: number of adults = 3, number of children = 5

Step-by-step explanation:

let the number of adults be x, and the number of children be y.

x + y = 8 , 15x + 8y = 85

1st equation x 8 = 8x + 8y = 64

8x+8y-15x-8y = 64 - 85\\-7x = -21\\x=3

substitute x=3

3+y=8\\y=5

5 0
2 years ago
Which sequence of transformations will verify that EFGH and quadrilateral EFGH and quadrilateral E'F'G'H are congruent?
levacccp [35]

D) EFGH moved onto E'F'G'H after rotating 180 counterclockwise around the origin and the reflecting across the y-axis.

<h3>How to carry out transformations?</h3>

From online resources gotten about this question, for quadrilateral EFGH and quadrilateral E'F'G'H to be congruent, what we must do first is to rotate 180° counterclockwise around the origin and then move EFGH onto E'F'G'H'.

The last step to get this proof of congruency is to reflect across the y-axis.

Read more about transformations at; brainly.com/question/4289712

#SPJ1

5 0
2 years ago
9.7q = 9.1q - 7.92<br> q =
AleksAgata [21]

Answer:

q = -13.2

Step-by-step explanation:

9.7q = 9.1q - 7.92

Subtract 9.1q from both sides.

0.6q = -7.92

Divide both sides by 0.6

q = -13.2

Double check your work.

9.7(-13.2) = 9.1(-13.2) - 7.92

-128.04 = -120.12 - 7.92

-128.04 = -128.04

5 0
3 years ago
Is (x+7) a factor of f(x)= x^3-3x^2+2x-8
nikklg [1K]

Answer:

Step-by-step explanation:

Use synthetic division to answer this.  If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.

We use -7 as the divisor in synth. div.  This comes from the factor (x + 7):

-7   /    1    3     2     -8

               -7   28  -210

     -------------------------

         1      -4   30   -218

Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.

6 0
3 years ago
Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of eel for $3.25, 3 pieces of tuna for
earnstyle [38]
2 pieces of squid = $3.50 
Therefore 1 piece of squid = $1.75 (3.50÷2)

1 piece of eel = $3.25

3 pieces of tuna = $6.75
Therefore 1 piece of tuna = $2.25 (6.75÷3)

4 pieces of crab = $8.00 
Therefore 1 piece of crab = $2 (8÷4)

Put them in order of price and you get 

$1.75 , $2 , $2.25 , $3.25
squid,crab,tuna,eel
5 0
3 years ago
Read 2 more answers
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