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Ber [7]
3 years ago
7

Heather manages a company that currently has 35 employees, e, and is gaining 5 new employees each month. Which equation below ca

n be used to determine the total, T, number of employees 4 months from now? Question 9 options: T = 5e +35 T = 35e + 5 T = 4e + 5 T = 5e + 4
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

Answer:

T = 5e + 35

Step-by-step explanation:

We start with 35 employees, which is the y-intercept. Then, 5 employees are gained each month, which is slope. Using 5e + 35, we can easily substitute 4 for e, which would give 55 employees in 4 months.

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In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?
Sladkaya [172]

THE ANSWER:

c−ab=de

THIS IS WHY:

4 0
3 years ago
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 part
nalin [4]

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

Determining the Probability value from Z-Table:

P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

z = 8/5

z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds

4 0
3 years ago
The amount of time it takes Evelyn to go grocery shopping is continuous and uniformly distributed between 20 minutes and 44 minu
vivado [14]

Answer:

85.71% probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X < x) = \frac{x - a}{b-a}

Uniformly distributed between 20 minutes and 44 minutes.

This means that a = 20, b = 44.

What is the probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping

We know that it takes less than 41 minutes, so we can update b to 41.

So

P(X < 38) = \frac{38 - 20}{41 - 20} = 0.8571

85.71% probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping

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3 years ago
The mapping diagram shows a function g(x).
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The answer would be D. In an inverse function, the x and y vlaues are switched (not in order though!).

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3 years ago
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On a school bus, the teacher sitting in front of me asked if I passed gas -- why did she ask me this and why did she WHISPER it
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Answer:


Step-by-step explanation:she asked you that because she smelled something and she whispered it so she wouldnt embarrass you


7 0
2 years ago
Read 2 more answers
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