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STatiana [176]
3 years ago
8

Ten less than a number cubed

Mathematics
1 answer:
Elanso [62]3 years ago
8 0
<span>Ten less than a number cubed is n</span>³-10.
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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
3 years ago
The sum of two numbers is 21 and their difference is 7 what are those two numbers
True [87]
If you need the sum than here is an equation for it 7x3= 21
6 0
3 years ago
Read 2 more answers
-8n+4(1+5n)=-6n-14 show your work
dmitriy555 [2]

Answer:

n = -1

Step-by-step explanation:

-8n + 4 (1 + 5n) = -6n - 14

-8n + 4 + 20n = -6n - 14     Distribute

12n + 4 = -6n - 14            Combine Like Terms

18n + 4 = -14             Add 6 on Both Sides

18n = -18         Subtract 4 on Both Sides

n = -1              Divide Both Sides by 18


6 0
3 years ago
10/15 as a % to 2 decimal places
PolarNik [594]

Answer:

0.67

Step-by-step explanation:

all you need to do is divide 10 by 15

3 0
3 years ago
Gustavo makes sparkling juice by mixing 3 cups of sparkling water with
schepotkina [342]

Answer:

20 cups of apple juice

Step-by-step explanation:

4 0
3 years ago
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