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nydimaria [60]
3 years ago
6

15. Fatima bought a video game that has a

Mathematics
1 answer:
OleMash [197]3 years ago
6 0

Answer:

Step-by-step explanation:

Discount = 15% of 45

=\frac{15}{100}*45\\\\=\frac{675}{100}=6.75

= $6.75

Price of the video game = 45 - 6.75 = $38.25

Tax = 7%of 38.25

=\frac{7}{100}*38.25\\\\=\frac{267.75}{100}=2.6775

Price paid by Fatima for the video game = 38.25 + 2.68 = $ 40.93

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The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use 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:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

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

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

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

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

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

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. whic
Dafna11 [192]

The inequality that represents the possible ways nina can eat 12 or more grams of protein is 2x + 3y ≥ 12

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Let x be the number of cheese squares that she eats and y is the number of turkey slices that she eats. If nina can eat 12 or more grams of protein, hence:

2x + 3y ≥ 12

The inequality that represents the possible ways nina can eat 12 or more grams of protein is 2x + 3y ≥ 12

Find out more on equation at: brainly.com/question/2972832

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6 0
2 years ago
How much sugar did jordan eat total after eating all of his meals?
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23/8 hope it helps,,....................
7 0
3 years ago
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Identify the interjection in the sentence below. Yikes! I almost stepped on a snake in our backyard.
Svetlanka [38]
The interjection in this sentence is Yikes!
Interjections are used to show some kind of emotion, and often end with an exclamation mark. 
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3 years ago
Rohan and Amit can build a tank in 12 days while Amit and Sohan in 15 days and Rohan and Sohan in 20 days. How long would each t
kolezko [41]

Answer:

Rohan-6

amit-6

sohan-9

Step-by-step explanation:

12/2=6 rohan And amit

amit=6 so solan has to take 9

10

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2 years ago
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