Answer:
see below
Step-by-step explanation:
10^33/2
Rewriting the numerator as 10 * 10 ^ 32
10 * 10 ^32
--------------------
2
10/2 = 5
5 * 10 ^32
Therefore
10^33/2=5*10^32
Answer:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
See explanation below.
Step-by-step explanation:
Develop the null and alternative hypotheses for this study?
We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:
(1)
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Let's assume that the calculated statistic is 
Since is a right tailed test test the p value would be:
And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that 
And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
Answer:
m= 2
b=9
Step-by-step explanation:
-4, 1 -3,3
put it into y2-x2 divided by y1-x1
y2= 3
x2= 1
y1= -3
x1=-4
3-1 divided by -4--3= 2/1 =2x
get one of the points either -4,1 or -3,3
If you use -4,1 -4=x 1=y
put it into y=mx+b and you get 1= -4(2)+b simplify
1=-8+b add 8 to other side b=9
Answer:
87 total hours.
Step-by-step explanation:
The equation 456/12 Gives you how many hours Sienna worked. (38)
642-480 will give you how much money Serena made off of Just OT (162)
162/18 = 9 (9 is how many overtime hours Serena worked.)
Serena worked her normal 40 hours, then worked over time, so you have to add 40 to the equation.
9+40+38 = 87
Serena and Sienna worked 87 total hours.