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4 years ago

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