Answer:
, option c
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and an
level of
, thus, we have 
The margin of error is of:

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have
. So



Upper bound:
The upper bound is less than the sample mean of 700 added to the margin of error of M. Thus

And the correct answer is given by option c.
Answer:
13:16, 3:4, 5:8.
Step-by-step explanation:
The ratio of the current ages of two students Dylan and Mike is 3:4.
Let their ages are 3x and 4x respectively.
If Dylan had been 6 years younger and Mike 6 years older, the age of Mike would have been 6 times the age of Dylan.
Hence, we can write, 6(3x - 6) = (4x + 6)
⇒ 18x - 4x = 36 + 6
⇒14x = 42
⇒ x = 3
Therefore, the current age of Dylan is 3×3 =9 years and that of Mike is 3×4 =12 years.
Therefore, the ratio of Dylan's current age to Mike's current age is 3:4. The ratio of their ages in four years ago will be (9-4):(12-4) =5:8
The ratio of their ages in four years from now will be (9+4):(12+4) =13:16
Hence, the ratios in descending order is 13:16, 3:4, 5:8.
(Answer)
Answer:
D "Matt wants to spend no more than" That indicates that it would be Less Than or = to
Step-by-step explanation:
The square root of integers where one can get the number 2.71 will be between 7 and 8.
The square root of integers where one can get the π will be between 9 and 10
<h3>How to illustrate the value?</h3>
It should be noted that the <em>square</em> of a number simply means multiplying the number by itself.
Therefore, the.square root of integers where one can get the number 2.71 will be between 7 and 8.
Also, the square root of integers where one can get the π will be between 9 and 10
Learn more about computations on:
brainly.com/question/4658834
#SPJ1
Answer:
Option D.

Step-by-step explanation:
The area of the circular bases is:

Where
is the radius of the circle
Then


The area of the rectangle is:

Where

b is the width of the rectangle and
is the length
Then the area of the rectangle is:


Finally the total area is:

