Answer:
6.
Step-by-step explanation:
x/7 - 3/8 = 27/56
Multiply through by 56 , as 7 * 8 = 56 we have:
8x - 3*7 = 27
8x = 27 + 21 = 48
x = 6.
Answer:
16 folders
Step-by-step explanation:
The first store has 1152 possible combinations. The second store has 72 combinations without the folders.
If we divide 1152 by 72, we have 16. Therefore the second store needs 16 folders to have the same number of combinations as the first store.
Answer:

Step-by-step explanation:
The midpoint of two points is the average of the x coordinates and the average of the y coordinates.
Given
A(3, -1)
and we let the other end point B be B(x,y)
and midpoint is (-7,10)
So, the average of 3 and x is -7, and
the average of -1 and y is 10
We can solve for x first:

and now solving for y:

So, the other point B is:

Answer:
The degrees of freedom is 11.
The proportion in a t-distribution less than -1.4 is 0.095.
Step-by-step explanation:
The complete question is:
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than -1.4 if the samples have sizes 1 = 12 and n 2 = 12 . Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = Enter your answer; degrees of freedom proportion = Enter your answer; proportion
Solution:
The information provided is:

Compute the degrees of freedom as follows:


Thus, the degrees of freedom is 11.
Compute the proportion in a t-distribution less than -1.4 as follows:


*Use a <em>t</em>-table.
Thus, the proportion in a t-distribution less than -1.4 is 0.095.
Answer: 3
Step-by-step explanation:
Feom the question, we are informed that students are making ornaments and each takes 1/2 of a piece of Bristol board and that they go to the cupboard and find 1 1/2 pieces of Bristol board.
The number of ornaments that they can make will be calculated by dividing 1 1/2 by 1/2. This will be:
= 1 1/2 ÷ 1/2
= 3/2 ÷ 1/2
= 3/2 × 2/1
= 3
They can make 3 ornaments