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lozanna [386]
2 years ago
15

Lisa earns $8.10 an hour and worked 40 hours. Jamie earns $10.80 an hour. How many hours would Jamie need to work to equal Lisa’

s earnings over 40 hours
Mathematics
2 answers:
Ket [755]2 years ago
7 0
30 hours is how much she would work
Ghella [55]2 years ago
3 0

Answer:

it takes 30 hours for Jamie to equal Lisa's earnings

Step-by-step explanation:

Lisa earns $8.10 an hour and worked 40 hours.

Total amount Lisa earns = rate times hours

Total amount Lisa earns =8.10 \cdot 40=324

Jamie earns $10.80 an hour

LEt 'n' be the number of hours Jamie works

Total amount Jamie earns =10.80 \cdot n=10.80n

we need to find out 'n' when Jamie earnings is equal to Lisa earnings

10.80n= 324

Divide by 10.80 on both sides

n= 30

So it takes 30 hours for Jamie to equal Lisa's earnings

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3 years ago
IQ scores are measured with a test designed so that the mean is 116 and the standard deviation is 16. Consider the group of IQ s
butalik [34]

Answer:

So the z-scores that separate the unusual IQ scores from those that are​ usual are Z = -2 and Z = 2.

The IQ scores that separate the unusual IQ scores from those that are​ usual are 84 and 148.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 116, \sigma = 16

What are the z scores that separate the unusual IQ scores from those that are​ usual?

If Z<-2 or Z > 2, the IQ score is unusual.

So the z-scores that separate the unusual IQ scores from those that are​ usual are Z = -2 and Z = 2.

What are the IQ scores that separate the unusual IQ scores from those that are​ usual?

Those IQ scores are X when Z = -2 and X when Z = 2. So

Z = -2

Z = \frac{X - \mu}{\sigma}

-2 = \frac{X - 116}{16}

X - 116 = -2*16

X = 84

Z = 2

Z = \frac{X - \mu}{\sigma}

2 = \frac{X - 116}{16}

X - 116 = 2*16

X = 148

The IQ scores that separate the unusual IQ scores from those that are​ usual are 84 and 148.

8 0
3 years ago
Read 2 more answers
a farmer grows 128 red tomato plant produces about 32 tomatoes. the farmer plans to sell each tomato for 2.00. explain how to fi
pychu [463]

a farmer grows 128 red tomato plant produces about 32 tomatoes

Each tomato plant produces 32 tomatoes

Total number of tomatoes produced = 128 * 32 =4096 tomatoes

the farmer plans to sell each tomato for 2.00.

Each tomato cost = $2

4096 tomatoes cost = 2 * 4096 = $8192

the farmer will earn $8192 if she sells all of the tomatoes

5 0
3 years ago
HELP!!!! I have never seen this. I will award big brain.​
Jlenok [28]

Step-by-step explanation:

Angles APD, DPC and CPB are supplementary. (Angles on a straight line)

Therefore Angle APD + Angle DPC + Angle CPB = 180°.

Since Angle DPC = 90° (Right angle),

Angle APD + Angle CPB = 180° - 90° = 90°.

=> (7x + 1) + (9x - 7) = 90

=> 16x - 6 = 90

=> x = 6

Hence arc measure of minor arc AD

= (7x + 1)° = [7(6) + 1]° = 43°.

6 0
2 years ago
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