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Salsk061 [2.6K]

3 years ago

5

Place the two numbers 42.5 and 42.35 on the number line that are greater than 42.0 and less than 43.0. Compare the two numbers o

n the line using the symbols <, >, or =.

2 answers:

Natali5045456 [20]3 years ago

4 0

42.0 <42.35<42.5<43.0

Nadusha1986 [10]3 years ago

3 0

42.0 is the greatest

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A quality control technician works in a factory that produces computer monitors. Each day, she randomly selects monitors and tes

jeka94

Answer:

There is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 300

p = 5% = 0.05

Alpha, α = 0.05

Number of dead pixels , x = 24

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.05\\H_A: p > 0.05$

This is a one-tailed(right) test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{24}{300} = 0.08$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.08-0.05}{\sqrt{\frac{0.05(1-0.05)}{300}}} = 2.384$

Now, we calculate the p-value from excel.

P-value = 0.00856

Since the p-value is smaller than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Conclusion:

Thus, there is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.

5 0

2 years ago

A bank wonders whether omitting the annual credit card fee for customers who charge at least $3,000 in a year would increase the

Law Incorporation [45]

Answer:

The 95% confidence interval for the mean amount of the increase is ($541.6, $588.4). This means that we are 95% sure that the mean amount of increase of all customers who charge at least $3,000 in a year is between these two values.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{267}{\sqrt{500}} = 23.4$

The lower end of the interval is the sample mean subtracted by M. So it is 565 - 23.4 = $541.6

The upper end of the interval is the sample mean added to M. So it is 565 + 23.4 = $588.4

The 95% confidence interval for the mean amount of the increase is ($541.6, $588.4). This means that we are 95% sure that the mean amount of increase of all customers who charge at least $3,000 in a year is between these two values.

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3 years ago

There is a pie eating contest with 14 participants. There are 29 pies that are all eaten. Which of the following best describes

kotegsom [21]

Hmm...I tried to divide 29 by 14, and I got 2.07142857143.... Does it let you round the decimal..?

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3 years ago

Maddox wants to go back to college full-time. His current employer has agreed to reduce his hours from 40 hours to 25 hours whil

4vir4ik [10]

Answer:

Best fit for his new situation is modified budget A

Step-by-step explanation:

lets first calculate Wages which will be earned by Maddox after reduction of working hours .

from his current situation we can say that ,

for working of 40 hours , Maddox monthly income wages = $1760

so for working of 1 hour , Maddox monthly income wages = $1760÷40=$44

hence for working of 25 hour , Maddox monthly income wages will be $44 × 25 = $1100.

So New wages after reduction of working hours will be $1100. but if you see , in budget B and C , Income wages is considered as $1600 which will not be case after reduction of working hours to 25 . hence Maddox cannot go for Modified Budget B and Modified Budget C.

So he needs to decide between Modified Budget A and Modified Budget D.

Now lets concentrate upon Net income for Modified Budget A and Modified Budget D. Net income for Modified Budget D is in negative that is -$515. that means he need to earn $515 more to meet Budget D , but income wages are fixed that is $1100.

At last lets see Net income of modified budget A. he is able to save $30 , hence we can say that best fit for his new situation is modified budget A

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3 years ago

Read 2 more answers

Georgina works on the 30 floor she took an elevator to the 7 floor how many floors did she travel

svlad2 [7]

Georgina walk 23 floor
30 - 7 = 23

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3 years ago