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kifflom [539]
2 years ago
5

Rewrite the expressions using the division symbol and as a fraction.

Mathematics
1 answer:
pentagon [3]2 years ago
6 0

Answer:

5/9, 5 ÷ 9

h/16, h ÷ 16

w + 8 ÷ 3, \frac{w + 8}{3}

x - 2 ÷ y, \frac{x - 2}{y}

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Noah ran around the track two times. How far did he run in feet? Round your answer to the nearest whole number.
AfilCa [17]

Answer:

237 feet

Step-by-step explanation:

take the circumference (5), square it, and multiply it by pi. Then add 40 for the distance of the two sides. Multiply your answer by two to find the distance for twice around

8 0
3 years ago
During training, Janice kayaker 4. 68 miles on Monday and 5. 61 on Tuesday. How much further did kayak on Tuesday?
Wewaii [24]
Janice kayaked 0.93 of a mile further on Tuesday
4 0
3 years ago
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3. The adult men of the Dinaric Alps have the highest average height of all regions. The
ahrayia [7]

Using the normal distribution, it is found that:

  • 3 - a) The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.
  • 3 - b) The minimum height of man in the Dinaric Alps that would place  him in the top 10% of all heights is of 76.84 inches.
  • 4 - a) The 25th percentile for the math scores was of 71.6 inches.
  • 4 - b) The 75th percentile for the math scores was of 78.4 inches.

<h3>Normal Probability Distribution </h3>

In a <em>normal distribution </em>with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

Question 3:

  • The mean is of 73 inches, hence \mu = 73.
  • The standard deviation is of 3 inches, hence \sigma = 3.

Item a:

The 40th percentile is X when Z has a p-value of 0.4, so <u>X when Z = -0.253</u>.

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

-0.253 = \frac{X - 73}{3}

X - 73 = -0.253(3)

X = 72.2

The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.

Item b:

The minimum height is the 100 - 10 = 90th percentile is X when Z has a p-value of 0.9, so <u>X when Z = 1.28</u>.

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

1.28 = \frac{X - 73}{3}

X - 73 = 1.28(3)

X = 76.84

The minimum height of man in the Dinaric Alps that would place  him in the top 10% of all heights is of 76.84 inches.

Question 4:

  • The mean score is of 75, hence \mu = 75.
  • The standard deviation is of 5, hence \sigma = 5.

Item a:

The 25th percentile is X when Z has a p-value of 0.25, so <u>X when Z = -0.675</u>.

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

-0.675 = \frac{X - 75}{5}

X - 75 = -0.675(5)

X = 71.6

The 25th percentile for the math scores was of 71.6 inches.

Item b:

The 75th percentile is X when Z has a p-value of 0.25, so <u>X when Z = 0.675</u>.

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

0.675 = \frac{X - 75}{5}

X - 75 = 0.675(5)

X = 78.4

The 75th percentile for the math scores was of 78.4 inches.

To learn more about the normal distribution, you can take a look at brainly.com/question/24663213

5 0
2 years ago
A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
Basile [38]
D the formula is v=(pie)(r)2(h)
Sorry I don’t have the right tools to do the equation right. But it’s D
8 0
2 years ago
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2) -4x – 6(3x + 4) = -4 + 8(1 - x)
likoan [24]

Answer:

x=-2

Step-by-step explanation:

-4x – 6(3x + 4) = -4 + 8(1 - x)

Distribute

-4x – 18x  -24 = -4 + 8 -8x

Combine like terms

-22x -24 = 4-8x

Add 22x to each side

-22x+22x -24 = 4-8x+22x

-24 =4+14x

Subtract 4 from each side

-24-4 = 4+14x-4

-28 = 14x

Divide each side by 14

-28/14 =14/14

-2 =x

5 0
3 years ago
Read 2 more answers
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