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3 years ago

6. Given WY with W(3, 7) and Y(13, -8), if X

Mathematics

1 answer:

inysia [295]3 years ago

8 0

Answer:

(5, 1)

Step-by-step explanation:

Given the coordinates W(3, 7) and Y(13, -8) divided into the ratio 3:2

The midpoint formula is expressed as;

M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)

a = 3,

b = 2

x1 = 3

y1 = 7

x2 = 13

y2 = -2

To get the coordinate of X

x = ax1+bx2/a+b

x = 3(3)+2(123/3+2

x = 9+26/5

x = 35/5

x= 7

y= ay1+by2/a+b

y = 3(7)+2(-8)/2+3

y = 21-16/5

y = 5/5

y = 1

Hence the coordinate of X is (x, y) = (5, 1)

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Answer:

125x125

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3 years ago

Read 2 more answers

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation

aliina [53]

Answer:

a. X~N(2,885, 651)

b. 0.086291

c. 0.00058

d. 3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

$P(X$

#substitute the given values in the formula to solve for P:

$P(X$

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

$P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058$

Hence, the proportion of customers consuming over 5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

$0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09$

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

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4 years ago

How much money do winners go home with from the television show Jeopardy? To determine an answer, a random sample of winners was

defon

Answer:

Step-by-step explanation:

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3 years ago

An electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricit

TiliK225 [7]

Answer:

atleast 385

Step-by-step explanation:

Given that an electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricity, they would like know the mean daily power usage for homes there.

Population std deviation = $\sigma = 50$