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2 years ago

Triangle QRS is to be dilated using the rule D Subscript P, three-fourths.

Mathematics

1 answer:

zaharov [31]2 years ago

5 0

The distance from the center of dilation, P, to.the image vertice S' is; 6 units.

<h3>What is the distance from the center of dilation, P, to the image S'?</h3>

It follows from the task content that the center of dilation of the triangle QRS is point P and the length of segment PS in the pre-image is; 8 units.

Hence, since the dilation factor as given in the task content is; three-fourths, it therefore follows that the distance of point P to S' in the image is; (3/4) × 8 = 6units.

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Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.1 and a standard deviation of 1.47. U

ycow [4]

97.5% of American women have shoe sizes that are no more than 11.47.

Lets try to solve the question,

Given values ,

Dev (u) = 8.47

Standard deviation (x) = 1.47

So we e have to find the percentage of American women whose shoe size's are not more than 11.47 P(x<11.47).

Lets find z score by using empirical formula.

=> $z= (x-u) / a$

=> $11.47-8.47/1.5$

=> $z= 2$

Now we have to find $P(z < 2)$ . Using the empirical rule, we know that 97.5% data lies below 2 standard deviations above mean.

Therefore the 97.5% of American women have shoe sizes that are no more than 11.47.

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7 0

2 years ago

Write in the missing number <br> 350/ 10 = 350 * ?

dedylja [7]

Answer:

1/10

Step-by-step explanation:

350/10 = 350 * X

35 = 350 * X

35/350 = X

X = 1/10

8 0

3 years ago

What is -25.83538 times 29 to the power of three divided by 27.954?

soldi70 [24.7K]

I got −15,045,083.2130533

4 0

3 years ago

Simplify 5(5t+6)+2 (2t-3)

yan [13]

Answer:

29t + 24

Step-by-step explanation:

5(5t + 6) + 2(2t - 3)

Open Parentheses first.

5* 5t = 25t

5 * 6 = 30

25t + 30 + 2(2t - 3)

Open others

2 * 2t = 4t

2 * 3 = 6

25t + 30 + 4t - 6

Match like terms

29t + 24

8 0

3 years ago

What is the inverse of the function f(x) = 4x + 8?

morpeh [17]

Answer:

(A) h(x) = 1/4x -2

Step-by-step explanation:

Given: f(x)=4x+8

Rewrite with y: y=4x+8

Switch x and y: x=4y+8

Solve for y: x-8=4y

(x-8)/4=y

1/4x-2=y

y=1/4x-2

This means that h(x) = 1/4x -2 is the correct answer

8 0

3 years ago