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Katyanochek1 [597]
3 years ago
7

Seven less than a number is less than 12

Mathematics
1 answer:
Strike441 [17]3 years ago
8 0

Answer:

7-X<12

solve for X (-5, infinity)

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A survey was conducted in the United Kingdom, where respondents were asked if they had a university degree. One question asked,
katovenus [111]

Answer:

z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620  

p_v =2*P(Z>1.620)=0.105  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance

Step-by-step explanation:

Data given and notation  

X_{1}=45 represent the number of correct answers for university degree holders

X_{2}=57 represent the number of correct answers for university non-degree holders  

n_{1}=373 sample 1 selected

n_{2}=639 sample 2 selected

p_{1}=\frac{45}{373}=0.121 represent the proportion of correct answers for university degree holders  

p_{2}=\frac{57}{639}=0.0892 represent the proportion of correct answers for university non-degree holders  

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportions are different between the two groups, the system of hypothesis would be:  

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{45+57}{373+639}=0.101

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =2*P(Z>1.620)=0.105  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance

7 0
3 years ago
Sales of 10 000 increase by 65 each year​
lorasvet [3.4K]

Answer:

Whats the question

Step-by-step explanation:

also if you are looking for the unit rate its <u><em>153.846...</em></u>

or if you are looking for how many in 2 years then <u><em>650,000</em></u>

<u><em>Hope this helps </em></u>

<u><em>Have a nice day</em></u> :)

3 0
3 years ago
Read 2 more answers
Alguien ayúdeme
VikaD [51]
Hola Senor/Senorita!
6 0
3 years ago
Solve for x<br> x+4/3 = 6
VladimirAG [237]

Answer:

x= 4 2/3

Step-by-step explanation:

Subtract 4/3 from 6 to get X! Hope this helped!

5 0
3 years ago
Which is the slant height of the pyramid if Helen uses all the clay
Digiron [165]
First, find the height of the pyramid using the volume formula.
Then use the Pythagorean theorem to find the slant height.

V = (1/3)Ah

48 = (1/3)(6^2)h

144 = 36h

h = 4

Since the side of the base is 6 in., half the side is 3 in.
The height of the pyramid is 4 in.
Call the slant height S.

3^2 + 4^2 = S^2

9 + 16 = S^2

25 = S^2

S = 5

Answer: The slant height is 5 in.
8 0
3 years ago
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