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galina1969 [7]
2 years ago
6

A circular table has an area of 75.5, what is the radius and diameter?

Mathematics
1 answer:
skad [1K]2 years ago
4 0

Answer:

r = 4.90228481 in

d = 9.80456963 in

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What’s the sum of interior angles of a 45-gon?
Mashutka [201]

Answer:

Step-by-step explanation:

As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o .

7 0
3 years ago
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
tia_tia [17]

Answer:

The minimum head breadth that will fit the clientele is 4.4 inches.

The maximum head breadth that will fit the clientele is 7.8 inches.

Step-by-step explanation:

Let <em>X</em> = head breadths of men that is considered for the helmets.

The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 6.1 and standard deviation, <em>σ</em> = 1.

To compute the probability of a normal distribution we first need to convert the raw scores to <em>z</em>-scores using the formula:

z=\frac{x-\mu}{\sigma}

It is provided that the helmets will be designed to fit all men except those with head breadths that are in the smallest 4.3% or largest 4.3%.

Compute the minimum head breadth that will fit the clientele as follows:

P (X < x) = 0.043

⇒ P (Z < z) = 0.043

The value of <em>z</em> for this probability is:

<em>z</em> = -1.717

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\-1.717=\frac{x-6.1}{1}\\x=6.1-(1.717\times 1)\\x=4.383\\x\approx4.4

Thus, the minimum head breadth that will fit the clientele is 4.4 inches.

Compute the maximum head breadth that will fit the clientele as follows:

P (X > x) = 0.043

⇒ P (Z > z) = 0.043

⇒ P (Z < z) = 1 - 0.043

⇒ P (Z < z) = 0.957

The value of <em>z</em> for this probability is:

<em>z</em> = 1.717

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\1.717=\frac{x-6.1}{1}\\x=6.1+(1.717\times 1)\\x=7.817\\x\approx7.8

Thus, the maximum head breadth that will fit the clientele is 7.8 inches.

5 0
3 years ago
Subtract <br><br> 3-9 = ???????
WINSTONCH [101]

Answer:

-6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The chart below shows conversion between kilometers and miles.
Feliz [49]

Answer:

12

Step-by-step explanation:

1.2 divided by 2 is 0.6 and you want to know how much twenty is bc thats the whole point of the question lol

but anyway multiply 0.6 and 20 to get 12

yw

6 0
3 years ago
Read 2 more answers
The monthly cost of a short term disability insurance policy varies directly as the salary of the employee. Wanda has an annual
arlik [135]

Answer: $14.85

Step-by-step explanation:

Ww can solve the question using direct proportion with the formula y = kx

where y = annual salary

x = monthly policy cost.

k = constant of proportionality

Since y = kx

38500 = 11.55k

k = 38500 / 11.55

k = $3333.33

When Randy has an annual salary of $49,500, the amount Randy expect to pay for his policy will be:

y = kx

49500 = 3333.33x

x = 49500 / 3333.33

x = 14.85

The amount that Randy expect to pay for his policy will be $14.85

8 0
2 years ago
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