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Karolina [17]
2 years ago
7

In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 75% of t

est subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 300 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.)​
Mathematics
1 answer:
alex41 [277]2 years ago
4 0

The mean is 0.75 , standard deviation is 0.025  and the probability that more than 71% is 0.9452 or 94.52%

The complete question is

In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that

75% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours.

A random sample of 300 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.)

(a)Find the mean of p

.(b)Find the standard deviation of p

.(c)Compute an approximation for P(P>0.71) , which is the probability that more than 71%

of the people in the sample pass the test. Round your answer to four decimal places.

<h3>What is Probability ?</h3>

Probability is the study of likelihood of an event to happen.

It is given in the question that

n = 300

p = 0.75

The mean is therefore = p = 0.75

Standard Deviation is (\sigma _p) = \sqrt{\dfrac{p(1-p)}{n}

=\sqrt\dfrac{0.75 (1-0.75)}{300}}

=0.025

P(p > 0.71) = P(\dfrac{ p- \mu }{\sigma _p} > \dfrac{0.71-0.75}{0.025})

P(z > -1.6)

1 - P(z < -1.6)

1 - 0.0548

0.9452 ( from z table )

To know more about Probability

brainly.com/question/11234923

#SPJ1

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Solve 16(3x-5) -10(4x-8) = 40
Mashcka [7]

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Step-by-step explanation:

<u>Step 1: Multiply out the brackets</u>

48x - 80 - 40x + 80 = 40 → <em>negative + negative = positive [-10 x -8]</em>

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3 0
3 years ago
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eimsori [14]

The correct options for the linear combinations of the vectors are given by:

A, B, C, D, E and F.

<h3>What is a span between two vectors?</h3>

The span between two vectors is the set that contains all linear combinations between these two vectors.

Supposing we have two vectors u1 and u2, as is the case in this problem, the infinitely many linear combinations have the following format:

k1u1 + k2u2

In which k1 and k2 are real numbers.

With k1 = 4 and k2 = -7, we get that option A is correct.

For option B, the vector 0 will always be a part of the span, as it can be formed with constants 0, hence it is correct.

The dimension of the span is of 3, as the vectors have 3 elements, hence option C is correct.

The underlying vectors will always also be part of the span, as they can be formed with their constant 1 and the others at 0, hence options D and F are correct.

The size of the span of any vectors is of infinity, hence option E is correct while option G is not.

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3 0
2 years ago
Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angl
Step2247 [10]

Answer:

B= 41; C  = 56; A = 83

Step-by-step explanation:

Given

A = 2x + 1

B = x

C = x + 15

Required

Arrange the angles from smallest to largest

First, we need to determine the value of x.

Since, it is a triangle:

A + B + C = 180

Substitute values for A, B and C

2x + 1+ x + x + 15 = 180

Collect Like Terms

2x + x + x = 180 - 15 -1

4x = 164

Solve for x

x= 164/4

x= 41

Solve for A, B and C

A = 2x + 1

A = 2 * 41 + 1

A = 82 + 1

A = 83

B = x

B= 41

C = x + 15

C  = 41 + 15

C  = 56

From Smallest to Largest, we have:

B= 41; C  = 56; A = 83

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3 years ago
I don't understand how to do it
leonid [27]
I don't know what question you are but basically to find the the area of something u would either add and then multiply or just multiply . It depends on how your teacher taught you
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