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ankoles [38]
3 years ago
7

Pull displays his sports trophies on shelves in his room. he has 5 trophies on each of 3 shelves and 2 trophies on another shelf

write a expression to represent the number of trophies paul display
Mathematics
1 answer:
Vesnalui [34]3 years ago
5 0
5 + 5 + 5 = 15
15 + 2 = 17 trophies
(5 x 3) + 2 = x (This is a possible way of writing the expression.)
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Step-by-step explanation:

The ratio of Ali mass to Williams mass is

6 : 3

= 2 : 1

Option 2 is the correct answer

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2 years ago
Write a system of two linear equations showing the distance each animal can
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Step-by-step explanation:

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2 years ago
A​ half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of​
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Answer:

99.5% of all samples of 21 of​ today's women in their 20's have mean heights of at least 65.86 ​inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of​ today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of​ today's women in their 20's have been taken.

<u><em /></u>

<u><em>Let </em></u>\bar X<u><em> = sample mean heights</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean height of women = 64.7 inches

            \sigma = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample of 21 of​ today's women in their 20's have mean heights of at least 65.86 ​inches is given by = P(\bar X \geq 65.86 inches)

  P(\bar X \geq 65.86 inches) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } } ) = P(Z \geq -2.57) = P(Z \leq 2.57)

                                                                        = <u>0.99492  or  99.5%</u>

<em>The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.</em>

<em />

Therefore, 99.5% of all samples of 21 of​ today's women in their 20's have mean heights of at least 65.86 ​inches.

3 0
3 years ago
The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is
I am Lyosha [343]

Answer:

30m^3 cubic units.

Step-by-step explanation:

Let m represent length of the rectangular prism.

We have been given that the width of a rectangular prism is six times its length, so width of the prism would be 6m.

We are also told that the height is five times its length, so height of the prism would be 5m.

We know that volume of rectangular prism is height times width times length.

\text{Volume of rectangular prism}=lwh

\text{Volume of rectangular prism}=m\cdot 6m\cdot 5m

\text{Volume of rectangular prism}=30m^3

Therefore, the volume of the given rectangular prism would be 30m^3 cubic units.

8 0
2 years ago
What is the difference between -6 and -14
Oksana_A [137]
The difference between -6 and -14 is that -6 is greater than -14 on a line.
8 0
2 years ago
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