Answer:
a) 
b) 
c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Step-by-step explanation:
Information given
represent the mean for 1
represent the mean for 2
represent the population standard deviation for 1
represent the population standard deviation for 2
sample size for the group 1
sample size for the group 2
z would represent the statistic
Hypothesis to test
We want to check if the two means for this case are equal or not, the system of hypothesis would be:
H0:
H1:
The statistic would be given by:
(1)
Part a
Replacing we got:
Part b
The p value would be given by this probability:
Part c
Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
The length of the missing side of the triangle is 129.96
<h3>Right angle triangle</h3>
Right angle triangle are triangle that has one of its sides as 90 degrees. The sides can be found using Pythagoras theorem. Therefore,
c² = a² + b²
where
c = hypotenuse
a and b are the other legs.
Therefore,
19² - 15.2² = a²
a = 361 - 231.04
a = 129.96
learn more on right triangle here: brainly.com/question/20795478
Answer:
272,100
This is because 62 rounds up
Answer:
Step-by-step explanation:
Simplifying
3(2x + -1) = 21
Reorder the terms:
3(-1 + 2x) = 21
(-1 * 3 + 2x * 3) = 21
(-3 + 6x) = 21
Solving
-3 + 6x = 21
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 6x = 21 + 3
Combine like terms: -3 + 3 = 0
0 + 6x = 21 + 3
6x = 21 + 3
Combine like terms: 21 + 3 = 24
6x = 24
Divide each side by '6'.
x = 4
Simplifying
x = 4
Answer:
the equation is (n/3) - 2 = 17
the number is 57
Step-by-step explanation:
the parenthesis are just there to make sure you know that the denominator is not 3-2, the whole fraction/division problem is subtracted by two.
hope this helped a little bit :))
