Answer:
D) Abner can spend $60 per month on school clothes and $20 per month on gym clothes and stay within his budget.
Step-by-step explanation:
In the problem it states that Abner will spend 3 times more on (s)school clothes than (g) gym clothes.
So it would appear as s ≥ 3g.
If we plug in $60 as s (school clothes) and $20 as g (gym clothes), the statement is true.
60 ≥ 3(20)
60 ≥ 60. These numbers make the linear system true.
If you have trouble with this, an easy way to find this answer is simply creating the linear system that represents the problem, (he will buy 3 times more school clothes than gym clothes) s ≥ 3g and plug in each variable from the answer choices until you find the variables that make the linear system true.
Using the z-distribution, we have that:
- The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.
- The <u>margin of error</u> is of 0.8 in.
- The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the <u>sum of all observations divided by the number of observations</u>. Hence:
The margin of error of a z-confidence interval is given by:
In which:
- z is the critical value.
is the population standard deviation.
- n is the sample size.
We have to find the critical value, which is z with a p-value of 
, in which 
is the confidence level.
In this problem, 
, thus, z with a p-value of 
, which means that it is z = 2.575.
Then, the margin of error is:
The <u>margin of error</u> is of 0.8 in.
The interval is:
The interpretation is:
Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
A similar problem is given at brainly.com/question/25300297
The perimeter means the sum of all sides.
So, In pentagon, it would be: 5(15) [ With five sides ]
In short, Your Answer would be Option C
Hope this helps!
Answer:
(a) x + y = 63 OR 3x = 63
(b) 21
(c) 42
Step-by-step explanation:
Let Vijay's age be x and Ajay's be y.
Ajay is <u>twice</u> as old as Vijay
==> Ajay's age = 2 × Vijay's age
==> <u>y = 2x</u>
<h3>(a)</h3>
<u>Sum</u> of their ages = 63
==> x + y = 63
<em>Substituting</em><em> </em><em>2</em><em>x</em><em> </em><em>for</em><em> </em><em>y</em><em>:</em>
==> x + 2x = 63
==> 3x = 63
<h3>(b)</h3>
<em>Solving the above-obtained equation:</em>
<u>==> x = 21</u>
<h3>(c)</h3>
Ajay's age = 2 times that of Vijay
==> y = 2x
==> y = 2×21
<u>==> y = 42</u>
