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Tpy6a [65]
3 years ago
7

Amy is 9 years older than her brother john. their combined age is 23. write an expression to represent johns age (use x)

Mathematics
1 answer:
dedylja [7]3 years ago
8 0
Let x the age of John
Amy's age = x + 9
from question, we get,
John's age + Amy's age = 23
x+(x+9)= 23
=> x + x + 9 = 23
=> 2x = 23 - 9
=> x = 14/2
=> x = 7
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LaTasha was presented with the following data set and argued that there was no correlation between x and y. Is LaTasha correct?
andrezito [222]

Answer:

LaTasha is correct. There is no correlation between x and y. The slope of the line of best fit is zero, which shows that there is no negative or positive correlation.

8 0
3 years ago
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Determine the type of triangle that is drawn below.
SashulF [63]

Answer:

equalateral

Step-by-step explanation:

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5 0
2 years ago
Which is a solution of the system of equations shown?
taurus [48]

Answer:

  D.  (2, 0)

Step-by-step explanation:

The solutions are the two points of intersection of the graphs:

  (-2, -4) and (2, 0)

The latter of these corresponds to choice D, the one you have marked.

5 0
3 years ago
in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

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 = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

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.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

 P(\bar X < 68 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{68-69}{\frac{2.8}{\sqrt{16} } } ) = P(Z < -1.43) = 1 - P(Z \leq 1.43)

                                                           = 1 - 0.9236 = 0.0764

<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0
3 years ago
Anthony has two cube-shaped pots with an interior edge length of 8 inches and two cube-shaped pots with an interior edge length
weqwewe [10]

He will have left 154.75 inches³ after he fills each pot full of soil

Step-by-step explanation:

The formula of the volume of a cube is V = s³, where s is the length of its side.

Remember:

  • 1 foot 12 inches
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∵ Anthony has two cube-shaped pots with an interior edge

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∴ s = 8

- use the formula of the volume

∴ The volume of each pot = (8)³ = 512 inches³

∴ The volume of the two pots = 512 × 2 = 1024 inches³

∵ He has another two cube-shaped pots with an interior edge

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∴ s = 6.5

∴ The volume of each pot = (6.5)³ = 274.625 inches³

∴ The volume of the two pots = 274.625 × 2 = 549.25 inches³

∵ He wants to fill each pot full of potting soil

- The volume of soil he uses to fill the 4 pots is equal the volume

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∵ The total volume of pots = 1024 + 549.25 = 1573.25 inches³

∴ The total soil he uses = 1573.25 inches³

∵ His bag of potting soil is one cubic foot

∵ 1 cubic feet = 1728 cubic inches

- To find the quantity of soil he not used subtract the total volume

    of the 4 pots from the volume of the soil in his bag

∴ The soil he will left = 1728 - 1573.25 = 154.75 inches³

He will have left 154.75 inches³ after he fills each pot full of soil

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

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