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Dovator [93]
3 years ago
8

The average time a boulder high varsity lacrosse player plays in a game is 30 minutes with a standard deviation of 7 minutes. no

lan’s playing time in last week’s game against fairview was 48 minutes. (a) calculate the z-score for nolan’s playing time against fairview. (round your answer to 2 decimal places.)
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Solving this problem is pretty straight forward.

We simply use the formula:

z-score = (x – u) / s

 

where,

x = sample value = 48 minutes

u = mean value = 30 minutes

s = standard deviation = 7 minutes

 

Therefore,

z-score = (48 minutes – 30 minutes) / 7 minutes

<span>z-score = 2.57</span>

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Picture 1: The amount of tax for Veena's meal is $1.02

Picture 2: Christian reads \frac{3}{8} books per week.

Picture 3: 80% is equal to \frac{4}{5}.

Step-by-step explanation:

Picture 1: Veena ate lunch at a deli. She ordered turkey sandwich for $9.25 and a salad for $4.35. The tax was 7.5%. What is the amount of tax for Veena's meal.

Given,

Price of turkey sandwich = $9.25

Price of salad = $4.35

Total amount = 9.25+4.35 = $13.60

Tax = 7.5%

Amount of tax = 7.5% of total cost

Amount of tax = \frac{7.5}{100}*13.60

Amount of tax = \frac{102}{100} = \$1.02

The amount of tax for Veena's meal is $1.02

Picture 2: Christian reads 1/4 book every 2/3 week.  How many books does Christian read per week?

Given,

Books read every 2/3 weeks = 1/4 books

\frac{2}{3}\ weeks=\frac{1}{4}\ books\\

For determining the number of books read per week, we will multiply both sides by \frac{3}{2}

\frac{3}{2}*\frac{2}{3}\ week=\frac{1}{4}*\frac{3}{2}\ books\\\\1\ week = \frac{3}{8}\ books\\\\

Christian reads \frac{3}{8} books per week.

Picture 3: What percent is equivalent to \frac{4}{5}?

We will multiply the given fraction with hundred for calculating the percentage.

\frac{4}{5}*100\\\\\frac{400}{5}\\\\80\%

Therefore,

80% is equal to \frac{4}{5}.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

3 0
3 years ago
4. Sarah had 731 Matchbox cars. She
devlian [24]

Answer:

  82 boxes

Step-by-step explanation:

731/9 = 81 2/9

If Sarah uses 81 boxes, she will have 2 cars left over.

Sarah needs 82 boxes to hold all of her cars.

5 0
2 years ago
The sides of a triangle have lengths 2x + 2, 4x, and 5x + 1. The longest side of the triangle has a length of 5x + 1. For what v
Savatey [412]

Answer:

Step-by-step explanation:

(5x+1)²>(2x+2)²+(4x)²

25x²+10x+1>4x²+8x+4+16x²

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5x²+5x-3x-3>0

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side is always positive.

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again 5x+1<2x+2+4x

5x-6x<2-1

-x<1

x>-1

x=all real values >3/5

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