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yulyashka [42]
3 years ago
12

Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours,

what equation could be used to determine how long it will take bonnie to do the job alone
Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

Step-by-step explanation:

Let the number of hours Nick does the job alone to be x - 3 hours

Hence, in 1 hour, Nick has done 1/x - 3

Together they complete the job in 9 hours

Hence, let's represent the job as 1

9/x + 9/x - 3 = 1

Multiply through by (x)(x-3)

9(x- 3) + 9(x) = 1

9x - 27 + 9x = (x)(x-3)

-27 = x² - 3x

x² - 3x +27 = 0

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Pani-rosa [81]

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3 years ago
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For a normal distribution with μ=500 and σ=100, what is the minimum score necessary to be in the top 60% of the distribution?
STatiana [176]

Answer:

475.

Step-by-step explanation:

We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.

We will use z-score formula and normal distribution table to solve our given problem.

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

Top 60% means greater than 40%.

Let us find z-score corresponding to normal score to 40% or 0.40.

Using normal distribution table, we got a z-score of -0.25.

Upon substituting our given values in z-score formula, we will get:

-0.25=\frac{x-500}{100}

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Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.

3 0
2 years ago
A start-up company opened with 8 employees.
tiny-mole [99]

By representing the equation is written in the form y = ax + b .

The value of b is 8.

According to the question

A start-up company opened with 8 employees.

So, Number of employees = 8

At zero quarter = 8

The company’s growth plan assumes that 2 new employees will be hired each quarter

After 1 quarter = Number of employees + 2 new employees

After one quarter = 8 + 2 = 10

Equation is written in the form y = ax + b to represent the number of employees, y, employed by the company x quarters after the company opened

y = ax  + b

10 = 2 × 1 + b

10 = 2 + b

Subtract 2 on both sides of the equation

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The value of b is 8.

Find out more information about equation here

brainly.com/question/14130415

#SPJ4

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2 years ago
What is 1+1 equal to?
Mariana [72]

Answer:

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Step-by-step explanation:

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