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earnstyle [38]
2 years ago
7

If 2^2x=2^3, what is the value of x?

Mathematics
1 answer:
sergiy2304 [10]2 years ago
8 0

Answer:

B) 3/2

Step-by-step explanation:

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Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 hav
Furkat [3]

Answer:

  • There is no significant evidence that p1 is different than p2 at 0.01 significance level.
  • 99% confidence interval for p1-p2 is  -0.171 ±0.237 that is (−0.408, 0.066)

Step-by-step explanation:

Let p1 be the proportion of the common attribute in population1

And p2 be the proportion of the same common attribute in population2

H_{0}: p1-p2=0

H_{a}: p1-p2≠0

Test statistic can be found using the equation:

z=\frac{p2-p1}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}} where

  • p1 is the sample proportion of the common attribute in population1 (\frac{16}{30} =0.533)
  • p2 is the sample proportion of the common attribute in population2 (\frac{1337}{1900} =0.704)
  • p is the pool proportion of p1 and p2 (\frac{16+1337}{30+1900}=0.701)
  • n1 is the sample size of the people from population1 (30)
  • n2 is the sample size of the people from population2 (1900)

Then z=\frac{0.704-0.533}{\sqrt{{0.701*0.299*(\frac{1}{30} +\frac{1}{1900}) }}} ≈ 2.03

p-value of the test statistic is  0.042>0.01, therefore we fail to reject the null hypothesis. There is no significant evidence that p1 is different than p2.

99% confidence interval estimate for p1-p2 can be calculated using the equation

p1-p2±z*\sqrt{\frac{p1*(1-p1)}{n1}+\frac{p2*(1-p2)}{n2}} where

  • z is the z-statistic for the 99% confidence (2.58)

Thus 99% confidence interval is

0.533-0.704±2.58*\sqrt{\frac{0.533*0.467}{30}+\frac{0.704*0.296}{1900}} ≈ -0.171 ±0.237 that is (−0.408, 0.066)

7 0
2 years ago
''Write an equation for line ` l `.''
lawyer [7]
Y=4 I’m pretty sure
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3 years ago
Clio Is 1/5 L of water. He pours equal amounts of water into 3 cups how many liters of water are in each cup
oksano4ka [1.4K]

Answer:

1/15 L

Step-by-step explanation:

1/5 x 3

1 x 1 is numerator

5 x 3 are the denominators

3 0
2 years ago
A 3-yard roll of butcher paper costs $8.55. What is the price per foot?<br>​
Zielflug [23.3K]

Answer:

$2.85

Step-by-step explanation:

8.55/3

8 0
3 years ago
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Which best describes the relationship between the two triangles in the picture?
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They have different like angles?
8 0
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