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2 years ago

Pls answer fast I will give you hundred points

Mathematics

1 answer:

iris [78.8K]2 years ago

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Question number 2
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A computer manufacturing company has sent a mail survey to 2,800 of its randomly selected customers that have purchased a new la

vodka [1.7K]

Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

$p=X/n=640/800=0.8$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014$

The critical z-value for a 96% confidence interval is z=2.054.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.8-0.03=0.77\\\\UL=p+z \cdot \sigma_p = 0.8+0.03=0.83$

The 96% confidence interval for the population proportion is (0.77, 0.83).

4 0

3 years ago

Find the point of diminishing returns (x comma y )for the function R(x), where R(x) represents revenue (in thousands of doll

riadik2000 [5.3K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The point of diminishing returns (x , y ) is (11, 21462)

Step-by-step explanation:

From the question we are told that

The function is $R(x) = 10,000 -x^3 - 33x^2 + 800x , \ \ 0 \le x \le 20$

Here R(x) represents revenue (in thousands of dollars) and x represents the amount spent on advertising (in thousands of dollars).

Now differentiating R(x) we have

$R'(x) = -3x^2 +66x + 800$

Finding the second derivative of R(x)

$R''(x) = -6x +66$

at inflection point $R''(x) = 0$

So $-6x +66 = 0$

=> $x= 11$

substituting value of x into R(x)

$R(x) = 10,000 -(11)^3 - 33(11)^2 + 800(11) ,$

$R(x) = 21462$

Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

(11, 21462)

4 0

3 years ago

PLEASE HELP WIL MARK BRAINLIEST MY DUDE

mihalych1998 [28]

Answer:

I think the answer is D

Step-by-step explanation:

5 0

2 years ago

There is a light post that is 9 feet tall that casts a shadow that is 6 feet long. At the same time, there is a tree that casts

Salsk061 [2.6K]

Answer:

The height of the tree is 21 ft

Step-by-step explanation:

we know that

A light post that is 9 feet tall that casts a shadow that is 6 feet long

by proportion

Find out the the height of the tree if a tree that casts a shadow that is 14 feet long

Let

x ----> the height of the tree

$\frac{9}{6}=\frac{x}{14}\\\\x=9*14/6\\\\x=21\ ft$

therefore

The height of the tree is 21 ft

6 0

2 years ago

What are the slope and y-intercept for the graph of y = 4x – 2?<br> 5.

Phantasy [73]

Slope= 4
Y intercept = -2

7 0

3 years ago

Pls answer fast I will give you hundred points​

Pls answer fast I will give you hundred points