Answer:
37.3 ft
Step-by-step explanation:
x/56 = 32/48
cross multiply:
56x32 = 1792
48x
1792/48 = 37.3
<span>We can quickly calculate a ten percent tip by moving the decimal place one to the left. So a 10% tip on $85.00 would be $8.50. We can then take half of that tip to calculate the remaining 5%. $8.50 / 2 = $4.25. The sum of these two results is equal to a 15% tip. $8.50 + $4.25 = $12.75. The correct answer is D.</span>
Answer:
b. Student-t with 48 degrees of freedom
Step-by-step explanation:
For this case we need to use a Two Sample t Test: equal variances.
Assumptions
When running a two-sample equal-variance t-test, the basic assumptions are "that the distributions of the two populations are normal, and that the variances of the two distributions are the same".
Let
and
be the sample means of two sets of data of size
and
respectively. We assume that the distribution's of x and y are:


Both are normally distributed but without the variance equal for both populations.
The system of hypothesis can be:
Null hypothesis: 
Alternative hypothesis: 
We can define the following random variable:

The random variable t is distributed
, with the degrees of freedom 
And the pooled variance can be founded with the following formula:

So on this case the best answer would be :
b. Student-t with 48 degrees of freedom
Answer:
The correct answer is D.
Step-by-step explanation:
When dividing -4 on both sides, the correct result becomes 8 is greater than or equal to <em>z</em><em>.</em><em> </em>This also means that the result of <em>z</em><em> </em>must be less than or equal to 8, so the graph also represents a closed point at 8 with the ray pointing towards the left with each result less than 8.
2×2 in a fraction is two over one times two over one