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Eddi Din [679]
4 years ago
13

Polly wants to solve the following equations using the method of elimination:

Mathematics
1 answer:
JulsSmile [24]4 years ago
7 0

2 should be multiplied

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The time needed to complete a final examination in a particular college course is normally distributed with a mean of 79 minutes
bagirrra123 [75]

Answer: a) 0.0088

b) 0.2997

c)  5

Step-by-step explanation:

Given : Mean : \mu = 79 minutes

Standard deviation : \sigma = 8 minutes

The formula for z-score :

z=\dfrac{x-\mu}{\sigma}

a) For x = 60 minutes

z=\dfrac{60-79}{8}=-2.375

The p-value =P(z\leq-2.375)=0.0087745\approx0.0088

b) For x = 75 minutes

z=\dfrac{75-79}{8}=-0.5

The p-value =P(60

=P(-0.5)-P(-2.375)=0.3085-0.0088=0.2997

c) For x = 90 minutes

z=\dfrac{90-79}{8}=1.375

The p-value =P(z>1.375)=1-P(z

=1-0.9154342=0.0845658

If the number of students in the class = 60 .

Then , the number of students will be unable to complete the exam in the allotted time =0.0845658\times60=5.073948\approx5

7 0
3 years ago
What is the volume of a right trianular prism with the dimesions of 15 11 17
Harlamova29_29 [7]

Answer:

1402.5 Cubic Units

Step-by-step explanation:

Volume of a Triangular Prism: V = \frac{1}{2}bhl

b - base

h - height

l - length  

15 is the height, 17 is the length, and 11 is the width  (assuming which is the base).

V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5

The volume of the prism should be 1402.5 cubic units.

3 0
3 years ago
What are the steps for simplifying an expression with exponents
MakcuM [25]

Answer:

Step-by-step explanation:

1- Remove any grouping symbol such as brackets and parentheses by multiplying factors.

2- the exponent rule to remove grouping if the terms are containing exponents.

3- Combine the like terms by addition or subtraction.

4- Combine the constants.

8 0
3 years ago
Enter numbers in figures to complete the passage below.
erik [133]

Answer:

Last year Jules' contract was for 1200 hours.

Step-by-step explanation:

This year Jules has a contract to work for 984 hours.

This is an 18% decrease on the hours on last year's contract.

Last year number: x

This years: 100 - 18 = 82% of last year, which is 984 hours. This means that:

0.82x = 984

x = \frac{984}{0.82}

x = 1200

Last year Jules' contract was for 1200 hours.

4 0
3 years ago
A store offers four different brands of a product. It decides to eliminate the brand that is most likely to be returned. The tab
STatiana [176]

Answer: brand C

Step-by-step explanation:

i just took the quiz

6 0
3 years ago
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