Answer:
If there are N students, the total cost will be:
C(N) = $500 + $5*N.
And we want the amount that each student pays to be equal or less than $15.
then:
C(N)/N ≤ $15.
Then the inequality that represents this situation is:
($500 + $5*N)/N ≤ $15.
Now, let's solve this:
($500 + $5*N) ≤ $15*N
$500 ≤ $15*N - $5*N
$500 ≤ $10*N
$500/$10 ≤ N
50 ≤ N
So the minimum number of students needed is 50.
We know, Surface area of a Cube = 6a²
Here, Edge length(a) = 1.5
Substitute the value,
s = 6(1.5)²
s = 6 * 2.25
s = 13.5
In short, Your Answer would be Option D
Hope this helps!
Answer:
(r-7)(r+2)
Step-by-step explanation:
First, let's look at the -14. Possible factors for that number are (-2, 7) (2, -7) (1, -14) and (-1, 14).
Now, let's look at the -5. How can we make -5 with the pairs that we just found?
The only possible way is 2 and -7 (added together equals -5)
Answer:
How do you describe the sequence of transformations?
Image result for Describe a sequence of transformations that takes trapezoid A to trapezoid B
When two or more transformations are combined to form a new transformation, the result is called a sequence of transformations, or a composition of transformations. Remember, that in a composition, one transformation produces an image upon which the other transformation is then performed.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: hourly wage of a high school student
X~N(μ;σ²)
X[bar]= $8.25
σ= $0.25
For a 95% CI for the average hourly wage for<u> 1 </u>high school student:
For this exercise you have to consider the sample size n=1
a) The margin of error of the CI is calculated as:
d= 
* σ
1-α: 0.95 ⇒ α:0.05
1-α/2:0.975
d= 1.96 * 0.25= 0.49
b)
The formula for the interval is
X[bar] ± * σ
[8.25 ± 0.49]
[7.76; 8.74]
With a 95% you'd expect the interval $[7.76; 8.74] to include the average hourly wage of one high school student in Illinois.
c)
Te calculated interval is $ [7.76; 8.74] the value $9.15 does nor fall within that acceptable range.
I hope this helps!
