Answer:
2 hours; $130
Step-by-step explanation:
We can do this by setting up an equality since we are finding when they are the same. Say x is the number of horus:
65 * x = 60 + 35* x
30 * x = 60
x = 2 hours
The cost will be the same at two hours, and plugging it in, we can get 65*2=130.
Answer:
The scale factor is not 2
Step-by-step explanation:
Given
See attachment for the dilated triangles
Triangle ABC is dilated through center point O to form triangle A'B'C'.
From the attachment, we have:
i.e. the distance from the center point to C
and
i.e. the distance from the center point to C'
The length of OC' is calculated using:



The scale factor (k) is then calculated by dividing OC' by OC



Hence, Tiffany's claim is incorrect.
Answer:
Mean SAT score for Stevens High graduates are not the same as the national average.
Step-by-step explanation:
We are given the following information in question:
Population mean, μ = 510
Sample mean,
= 501
Sample size, n = 50
Alpha, α = 0.10
Sample standard deviation, s = 30
First, we design the null and the alternate hypothesis

We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have,
Now,
Since,
We reject the null hypothesis and fail to accept it.
We accept the alternate hypothesis and mean SAT score for Stevens High graduates are not the same as the national average.

Given to points to us are :-
( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-

Here ,
- x1 = 3 .
- x2 = -1.
- y1 = (-6)
- y2 = (-8).
<u>→ Substituting the respective values , </u>
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
<u>Hence the distance between two points is 4√5u.</u>
Answer: D, neither A nor B
Step-by-step explanation: In a function, the x (the input) cannot repeat in the given set of ordered pairs. In Set A, 2 repeats in the third and fourth ordered pairs. In Set B, 9 repeats in the third and fourth ordered pairs as well.