The answer is 4.5 for the side length of the pentagon and 7.5 is the side length for the triangle because 7.5*3(3 sides) = 22.5 and 4.5*5(5 sides)= 22.5. The perimeter is 22.5

6 0

3 years ago

A 90% confidence interval for the average weight (in pounds) of Americans was found to be (185, 210). The point estimate for thi

Lynna [10]

Answer:

B. 12.5

Step-by-step explanation:

We have the lowe confidence interval = 185

The upper confidence interval = 210

Mean of X = (lower confidence + upper confidence interval)/2

Mean of X = 185 + 210/2

= 197.5

The margin of error = the upper confidence interval - mean of X

= 210-197.5

= 12.5

3 0

3 years ago

What is the equation of a parabola in vertex form for a line that passed through (5,-4) and has vertex (-2,5)

Ahat [919]

$\text{The vertex form of a parabola}\\\\y=a(x-h)^2+k\\\\\text{We have the vertex}\ (-2,\ 5)\to h=-2,\ k=5.\\\\\text{Substitute}\\\\y=a(x-(-2))^2+5=a(x+2)^2+5\\\\\text{We have the point}\ (5,\ -4).\\\text{Substitute the coordinates of the point to the equation:}\\\\-4=a(5+2)^2+5\\\\-4=a(7)^2+5\\\\-4=49a+5\qquad|-5\\\\-9=49a\qquad|:49\\\\a=-\dfrac{9}{49}\\\\Answer:\ \boxed{y=-\dfrac{9}{49}(x+2)^2+5}$

5 0

4 years ago

Tori has a bag with 3 blue marbles, 5 red marbles and 1 yellow marble. She chooses a marble at random, returns it to the bag, an

Damm [24]

Answer:

3- 5- 1

^ ^ ^

1 -5, 1,3 3,5

Step-by-step explanation:

5 0

3 years ago

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