From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

Answers

Answer 1

Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.The upper limit is 0.7.

A similar problem is given at https://brainly.com/question/16807970


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Answer:

2 parks

Step-by-step explanation:

Answer:

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Step-by-step explanation:

There would be 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20

After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.m., what time did he leave his house?

A. 8:10 a.m.
B. 8:20 a.m.
C. 8:30 a.m.
D. 8:40 a.m.

Answers

Answer:

D. He left his house at 8:40 a.m

I say go with answer 8:20

Help help math help help help math

Answers

Step-by-step explanation:

We know that angles on a straight line add up to 180, so:

5x+5+5x+5=180

Simplify

10x+10=180

Solve

Take away 10 from both sides

10x=170

Divide 170 by 10

x = 17

please help me with these questions I could truly appreciate it. No link please!

Explain why an exponential or logarithmic function would not be used to model the graph from question 1?

For Question 1, what is the y intercept and explain the meaning in the context of that problem?

Answers

Answer:

see below

Step-by-step explanation:

neither would be used because for an exponential, it would be a constant increasing or decreasing, and same thing for the logarithmic. This function has a consistent wave pattern.

1. 600, y intercept is when the study began

A graph can be modeled by several functions such as exponential function, logarithm functions, linear functions, quadratic functions, etc.

The graph is neither an exponential function, nor a logarithmic functionThe y-intercept is 600

The function type

An exponential function and a logarithmic function would either increase through its interval or decrease through its interval.

These functions would not increase and then decrease or decrease and then increase at different intervals.

From the attached graph, we can see that the graph increases and decreases at several intervals.

Because of this changes in the graph behavior, the graph cannot represent an exponential function or a logarithmic function.

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Solve using traditional division: 3,385 31.
109 R6
1009
108 R 37
109

Answers

Answer:

109r6

Step-by-step explanationi got it

What is the answer to the equation 56/3+7=

Answers

Hey there!

56/3 + 7

= 56/3 + 7/1

= 56/3 + 21/3

= 56 + 21/ 3 + 0

= 56 + 21/3

= 77/3

≈ 25 2/3

≈ 25.666667

Therefore, your answer is: [77/3] which is approximately [25.666667]

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Solve
-4(-2)

A. -8

B. -6

C. -2

D. 8

Answers

Answer:

D

..............................

its urgent .have an exam tomorrow .pls help

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B- 55 minutes. 6:20-7:15 in duration is 55 mins

What is the answer to 5a-1 when a=1/3

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Answer:

.65

Step-by-step explanation:

Solve the equation: c + -22 = 16

Answers

Answer:

c=38

Step-by-step explanation:

Answer:

c = 38

Step-by-step explanation:

c+(-22) = 16c-22 = 16c = 16+22c = 38

2 numbers that round to 70. The sum of the two numbers is 136

Answers

Answer:

68 and 68

Step-by-step explanation:

hope this helps

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An equation for the ordered pairs you gave me is: y=3x+1

Hope this helped you!! :)

Which statement is true ?

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Answer:

d

Step-by-step explanation:

plan 2 grows exponentially so it grows at a faster rate than plan 1, even though plan 1 starts with 100 members

An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.
Two dice are rolled; the numbers add to 11.

Answers

Answer:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

Step-by-step explanation:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

which two expressions are equivalent to 7(t + 5)?


A). 7 • 5 • t

B). 7 • 5 + t

C). 7 • 5 + 7 • t

D). (5 + t) • 7

E). 5(t + 7)



Answers

Answer:

7.5+7.t

and

(5+t).7

are equivalent to 7(t+5)

Option D and E are equivalent to 7(t + 5) That is :

(5 + t) • 7 and 5(t + 7)

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given equation is :

7(t + 5)

7(t+5) multiply 7 with inside the parenthesis

7(t+5) = 7t + 7x5

this result is equivalent to option D and E which will give the same result.

Therefore, Option D and E are equivalent to 7(t + 5).

Read more about expressions at :

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#SPJ2

(2a+3) by (a+2) binomial multiplication ​

Answers

Answer:

refer to the attachment

hope it helps.......

Answer:

2a² + 7a + 6

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

As the number under the exponent is less than 1, this is a decay function.

y decreases by (1 - 0.97)100 = 3% for each unit increase in x

so the increase would be -3%

If 22 is added to a number and the sum is divided by 2, the result is 6 times a number. Find the number

Answers

Answer:

The number is 2

Step-by-step explanation:

(22+2)/2=12

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May you please give brainliest?

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Answer:

The c will equal 2.56

Step-by-step explanation:

The A will equal 42.48 degrees

The B will equal 96.92 degrees

If Jaime wants to find 60% of 320, which table should he use?
A 2-column table with 11 rows. Column 1 has entries 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, blank, blank, blank, blank, blank, blank, Total blank.
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, Total blank.
A 2-column table with 4 rows. Column 1 has entries 30 percent, 30 percent, 30 percent, Total 100 percent. Column 2 has entries blank, blank, blank, Total blank.
A 2-column table with 3 rows. Column 1 has entries 50 percent, 50 percent, Total 100 percent. Column 2 has entries blank, blank, Total blank.

Answers

Answer: The answer is A. Six 10% and total 100% (I hope ya'll understand what I'm saying)

Answer:

it is A

Step-by-step explanation:

just finished

Jason gets 15 gallons of gas for $3.90 a gallon which gives him 20 miles to the gallon. How many miles can Jason travel on one tank of Jason?

Answers

0.75 miles
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Answer:

0.75 mi.

Step-by-step explanation:

15/20=3.90/x

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Answers

Answer:

The type of association between x and y are inversely proportional  

Step-by-step explanation:

Solution:

Here the x value increase, the y value decrease which implies that x is inversely proportional to y

I hope this helps.

Previous Answer is Correct

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Answers

Answer:

(-4;5)

Step-by-step explanation:

Replace x and y by each of the possible solution until the equation is true. here it is true for (-4 ; 5), because:

3 * (-4) - 2 * 5 = -12 - 10 = -22

Precalculus graph function help please

Answers

B and c and d i think

Complete the table below to find solutions to the linear equation −3x−y=27.

Answers

Answer:

×=3×+y=27

Step-by-step explanation:

the variables are not the same so you cant do anything

Answer:

X   Y      (X,Y)

0 -27     (0,-27)

4 -39     (4,-39)

-9 0       (-9,0)

In 20P9 what does the "20"
represent?
A. Permutation
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C. The number of objects selected from the set.

Answers

Answer:

It is b

Step-by-step explanation: Because only one that makes sense

PLEASE HELP GUYS I’m so stuck

Answers

Answer:

what we have to do here hmm mm mm .......

Evaluation the following:

A.
[tex] \sqrt{ \frac{32 {y}^{2} }{72 {x}^{2} } } [/tex]
B.
[tex] \sqrt[3]{ \frac{125 {m}^{3} }{36 {m}^{2} } } [/tex]
C. if
[tex] x1 = 2 \: and \: x2 = 1 \\ and \: y1 = 3 \: and \: y2 = - 1[/tex]
then find the value of :
[tex] \sqrt{ \frac{x2}{y2} - \frac{y2}{x2} } [/tex]

Answers

Answer:

A. √32y²/72x²= 32y/72x

Step-by-step explanation:

√32y²/72x²= 32²/72²

= 32/72.

B. √125m³/36m²

=4192.6/108

=38.8203.

C. √x²/y²-y²/x²

therefore, x²=1, y²=-1

that is, √1/-1 - -1/1= -1(-)-1=0.

venere madona de mihai eminescu particularitatile textului literar și poetic​

Answers

can u say it in english ?

The library owns 80,000 books. 90% of the books are fiction books. How many fiction books does the library own?

Answers

Answer:

72 000 fiction books

Step-by-step explanation:

80000 * 90% = 80000 * 0,9 = 72000

Answer:

The library own 72,000 fiction books.

Step-by-step explanation:

# of fiction books =(total # of books)(% of fiction books)

[tex]B_f=(80,000)(.90)=72,000[/tex]

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