<h2>
Answer with explanation:</h2>
By considering the given information, we have
Null hypothesis : 
Alternative hypothesis : 
Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.
Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.
; 
Test statistic : 
i.e. 
Degree of freedom : n-1 = 20-1=19
Significance level = 0.01
For two tailed, Significance level 
By using the t-distribution table, the critical value of t =
Since , the observed t-value (7.25) is greater than the critical value (2.861) .
So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.
We conclude that there is some significance difference between the mean score for sober women and 35.0.
9514 1404 393
Answer:
25%
Step-by-step explanation:
A percentage change is calculated using the formula ...
pct change = ((new value) - (old value))/(old value) × 100%
For your numbers, this is ...
pct change = (250 -200)/200 × 100% = 50/200×100% = 25%
The selling price was 25% more than the cost price.
Not sure for the others but a is 55 cause ps is half a circle witch is 180 and pt is 125 so just subtract 180 - 125 =55
Answer:
x = age
200 - 3x = 47, solve for x
x =51
Step-by-step explanation:
The first thing we must do for this case is to look for the area of each rectangle.
We have then:
A1 = (40) * (x)
A2 = (1.25 * 40) * (y)
Then, we have the following relationship between areas:
"the area of Q is 10% less than the area of p"
A2 = 0.9 * A1
Substituting values we have:
(1.25 * 40) * (y) = 0.9 * ((40) * (x))
We rewrite:
50y = 36x
The relationship x: y is:
x / y = (50) / (36)
Simplifying:
x / y = (25) / (18)
Answer:
the ratio of x:y is:
25:18