Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as
here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.
I cannot see the picture to good
-3 = x/-9
To make this easier, I'll put it in normal numbers
(-3 = x/-9) -1
3 = x/9
Multiply both sides by nine to take out the division.
27 = x
Hope that this helped!
The cost of gas bill including VAT is 379.26.
<h3>What is VAT?</h3>
Value-Added Tax (VAT) is a tax, which is payable on sales of goods or services within the territory of the Member States of the EU.
Given:
Cost of the gas before the VAT was added was £361.20.
VAT = 5%
Thus, cost of bill including VAT is
=361.20.*1.05
=379.26.
Learn more about VAT here:
brainly.com/question/20628016
#SPJ1
Answer:
D
Step-by-step explanation:
So we want to find<em> θ. </em>We are already given the hypotenuse and the side length opposite to <em>θ. </em>Therefore, we can use the trig function sine to find <em>θ. </em>
Recall that:
Plug in 10.2 for the opposite side and 15 for the hypotenuse:
Solve for <em>θ. </em>Use a calculator:
The answer is D.
