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madam [21]
3 years ago
9

Emelia earns $8.00 per hour plus a gas allowance of $3.50 per day at her job. How much does Emilia's job pay in a day when she w

orks 5 hours? Write an expression and evaluation for 5 hours.
Mathematics
1 answer:
Bogdan [553]3 years ago
7 0

Answer: Required expression = 8h +3.50

Emilia's job pay  $ 43.5 in a day when she works 5 hours.

Step-by-step explanation:

Given: Hourly earning = $8.00

gas allowance per day =  $3.50

Pay per day = (Hourly earning ) x (Number of hours ) + (gas allowance per day)

Let h = number of hours

Pay per day = 8h +3.50

If Emily worked for 5 hours, then put h= 5, we get

Pay per day = 8(5) +3.50

= $ 40 +3.50

= $ 43.5

Required expression = 8h +3.50

Emilia's job pay  $ 43.5 in a day when she works 5 hours.

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The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili
Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

\lambda= 4.5

Formula:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

a) No accidents occur in one week.

P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111

b) 5 or more accidents occur in a week.

P( x \geq 5) = 1-\displaystyle \sum P(x

c) One accident occurs today.

The mean number of accidents per day is given by

\lambda = \dfrac{4.5}{7} = 0.64

P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747

5 0
3 years ago
A parallelogram has an area of 111.86 ft2 and a height of 11.9 ft. how long is the base of the parallelogram? enter your answer
777dan777 [17]
111.86/11.9 = 11186/1190 = 5593/595 = 9.4
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F(x) = 2x^2 - 4x - 3
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