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QveST [7]
2 years ago
15

Carmen went rock climbing at the climbing gym for 1 1/2 hours on Thursday. On Saturday, she went to Castle Rock State Park and c

limbed for 1 1/2 times as long. How much time did she spend rock climbing in all?
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
4 0

Answer:

3 3/4 hours

Step-by-step explanation:

1 1/2 + 1 1/2(1 1/2) = 3 3/4 hours

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From the following figure, how can you conclude that lines l and m are parallel?
loris [4]

C. Alternate interior angles theorem

The angles labeled are on the inside of lines l and m and they are also on alternate sides of the unnamed line

:)))

4 0
2 years ago
Read 2 more answers
Choose yes or no to tell whether each term is equivalent to the slope in a proportional relationship.
Anna007 [38]

Answer:

A. Constant of proportionality : Yes

B. Origin : No.

C. Inverse : No.

D. Rise per run : Yes

E. Unit rate : Yes.

Step-by-step explanation:

We have to choose yes or no to tell whether each item in the given options is equivalent to the slope in a proportional relationship.

A. Constant of proportionality: Yes

B. Origin: No.

C. Inverse: No.

D. Rise per run: Yes

E. Unit rate: Yes.  

The constant of proportionality, the rise per run and the unit rate are equivalent to slope in a proportional relationship. (Answer)

5 0
2 years ago
A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev
Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

Using the information of a n= 100 sample, the following data was calculated:

R²= 0.23

                Coefficient    Standard Error  

Intercept    25675.5           11393

x                  5321                  2119

The estimated equation is

^Y= 25675.5 + 5321X

Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

H₀: β = 0

H₁: β ≠ 0

There are two statistic you can use to make this test, a Student's t or an ANOVA F.

Since you have information about the estimation of  β you can calculate the two tailed t test using the formula:

t= \frac{b - \beta }{\frac{Sb}{\sqrt{n} } } ~t_{n-2}

t= \frac{ 5321 - 0 }{\frac{2119}{\sqrt{100} } } = 25.1109

The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated t_{H_0} under the distribution t_{98}

p-value < 0.00001

I hope it helps!

3 0
2 years ago
The Andersons have a booth at the farmers market they set up each weekend over the summer they sell homemade apple pie for $9.75
butalik [34]

Answer:

The money they make on selling pies on Saturday is $68 (approximately).

Step-by-step explanation:

Given:

Cost of an apple pie is $9.75.

Total apple pie sold on Saturday is 7.

So, to get the total amount of  apple pie sold on Saturday:

Cost\ of\ an\ apple\ pie\times Number\ of\ apple\ pie\ sold

9.75\times 7

=68.25

Total amount = $68.25.

Therefore, the money they make on selling pies on Saturday is $68 (approximately).

7 0
2 years ago
Read 2 more answers
What else would need to be congruent to show that ABC XYZ by ASA?
docker41 [41]
Side XZ needs to be congruent to side AC. The answer is D.
5 0
2 years ago
Read 2 more answers
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