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Paraphin [41]
3 years ago
7

Please help i need the answer asap ill give brainliest

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0
80.1 years, im not 100% sure of my answer though
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A certain change in a process for manufacture of component parts is being considered. Samples are taken using both the existing
Katyanochek1 [597]

Answer:

a) The confidence interval is 0.00\leq\pi_1-\pi_2\leq0.02.

Step-by-step explanation:

We have to calculate a confidence interval (CI) of a difference of proportions.

For the existing procedure, the proportion is:

p_1=75/1500=0.05

For the new procedure, the proportion is:

p_2=80/2000=0.04

To calculate the CI, we need to estimate the standard deviation

s=\sqrt{\frac{p_1(1-p_1)}{n_1} +\frac{p_2(1-p_2)}{n_2} }\\\\s=\sqrt{\frac{0.05(1-0.05)}{1500} +\frac{0.04(1-0.04)}{2000} }=\sqrt{ 0.000032 + 0.000019 }=\sqrt{  0.000051 }\\\\s=0.007

For a 90% CI, the z-value is 1.64.

Then, the CI is:

(p_1-p_2)-z*\sigma \leq\pi_1-\pi_2\leq(p_1-p_2)+z*\sigma \\\\(0.05-0.04)-1.64*0.007\leq\pi_1-\pi_2\leq(0.05-0.04)+1.64*0.007\\\\0.01-0.01\leq\pi_1-\pi_2\leq0.01+0.01\\\\0.00\leq\pi_1-\pi_2\leq0.02

6 0
3 years ago
What does 1,000,000,000divided by 18 • 20 - 108 equal?
Ludmilka [50]

Answer:

3,968,253.968253968

Step-by-step explanation:

7 0
3 years ago
What’s the exact value of Cos(127.5)? Using trig identities like half angle and PLEASE EXPLAIN
vlada-n [284]

Answer:

−0.608761429

Step-by-step explanation:

use the pathagreom theorem if you have two sides subtract that from 180

8 0
3 years ago
Ally and Beck went fishing and caught a total of 75 fish. At home,
tigry1 [53]

Answer:

<em>Beck actually caught 45 fish</em>

Step-by-step explanation:

<u>System of Equations</u>

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75      [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75      [2]

From [1]:

x = 75 - y      [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

3 0
3 years ago
Read 2 more answers
Without graphing, determine whether the following pair of lines are parallel, perpendicular, or neither parallel nor perpendicul
Tomtit [17]

Write the equation of the lines in slope-intercept form (y=mx+b)

First equation: It is already in slope-intercept form

y=\frac{2}{5}x-4

Second equation: solve y:

\begin{gathered} 4x-10y=-7 \\ 4x-4x-10y=-4x-7 \\ -10y=-4x-7 \\ \frac{-10}{-10}y=\frac{-4}{-10}x-\frac{7}{-10} \\  \\ y=\frac{4}{10}x+\frac{7}{10} \\  \\ y=\frac{2}{5}x+\frac{7}{10} \end{gathered}

Identify the slope of each line:

If two or more lines have the same slope then the lines are parallel

If two lines have slopes that are negative reciprocals then the lines are perpendicular

The two given lines have the same slope: 2/5. Then, they are parallel lines
4 0
1 year ago
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