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3 years ago

What is the diameter of a trampoline with an area of 49 square ft

1 answer:

7 0

Using the formula A = πr^2

49 = 3.14r^2
Divide both sides by 3.14

15.6 = r^2
Get the square root

r ≈ 4
d = r * 2

So the diameter is around 8...

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Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a sta

jarptica [38.1K]

Answer:

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.64

P(X<x) = 0.64

$P( X < x) = P( z < \displaystyle\frac{x - 500}{10})=0.64$

Calculation the value from standard normal z table, we have, $p(z$

$\displaystyle\frac{x - 500}{100} = 0.358\\x = 535.8$

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

8 0

3 years ago

Write a compound inequality that each graph could represent for the following questions.

ivanzaharov [21]

Answer:

Part 67) $x > -2$ and $x < 3$

Part 68) $x\leq -1$ or $x\geq 1$

Step-by-step explanation:

Part 67) we know that

The solution of the number line is the interval -------> (-2,3)

All real numbers greater than -2 and less than 3

The compound inequality could be

$x > -2$ and $x < 3$

"And” indicates that, both statements must be true at the same time

Part 68) we know that

The solution of the number line is the interval (-∞,-1] ∪ [1,∞)

All real numbers less than or equal to -1 or all real numbers greater than or equal to 1

The compound inequality could be

$x\leq -1$ or $x\geq 1$

"Or” indicates that, as long as either statement is true, the entire compound sentence is true

3 0

2 years ago

What is the measure of angle 1

sashaice [31]

Answer:

C. 74

This is because the total angle measure is 360 degrees

1.360-90 because we see a 90 degree angle here

2. 270-109=161

3.161-87=74

answer 74

4 0

3 years ago

A carpenter needs to cut a 5 foot, 8 inch piece of wood from an 8-foot board to make a repair to a door. How many inches of wood

erastovalidia [21]

Answer:

Step-by-step explanation:

1 foot = 12 inches

length of board in inches = 8 ft × (12 in)/ft = 96 in

length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in = 68 in.

96 - 68 = 28 inches left

3 0

2 years ago

F(x) = 3x - 3 <br> g(x) = 4x+5 <br> find (f•g) (3) <br><br> only numerical answers work

Andreas93 [3]

Answer:

48 bcoz u do 4(3)+5 do f(g) than for f(17) u do 3(17)-3

6 0

3 years ago