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monitta
3 years ago
5

100 POINTS, PLEASE HELP!

Mathematics
1 answer:
kow [346]3 years ago
7 0

Step-by-step explanation:

|y – 3| − 4 ≤ −3

|y – 3| ≤ -3+4

|y – 3| ≤ 1

-1 ≤ y-3 ≤ 1

=> -1 ≤ y - 3 or y - 3 ≤ 1 (the first option)

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B. What is the radius of a ball that uses one-half of the amount of rubber coating used to cover the 16-inch ball? Write your an
liberstina [14]

Answer:

The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball is approximately 4.66 inches

Step-by-step explanation:

The dimension of the ball with known radius = 16-inch

The surface area of the ball with 16-inch radius = 4×π×r² = π·D² = π×16² = 804.24772 in.²

Given that the ball uses one-half the rubber material coating used to cover the 16-inch ball, we have the surface area of the ball = 804.24772 in.²/2 = 402.12386 in.²

The radius, r₂ of the new ball is found as follows;

402.12386 in.² = 4×π×r₂²

r₂² = 402.12386 in.² /(4×π) ≈ 32

r₂ = √32 = 4·√2 ≈ 4.66 inches

The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball ≈ 4.66 inches.

7 0
3 years ago
What is the volume of a rectangular prism with length 3 m, height 8 m, and width 12 m? A. 288 m2 B. 288 m3 C. 288 m
nevsk [136]
288m^3 is what I got, hope it helps!
6 0
4 years ago
Household incomes are normally distributed with a mean of $47,500 and a standard deviation of $12,500. What is the probability o
Romashka [77]

Answer:

Option C: 15.87 is the correct answer

Step-by-step explanation:

Given

Mean = $47500

SD = $12500

We have to find the probability of having $60000 or more

So,

x = $60000

The z-score will be:

z-score = z = \frac{x-mean}{SD}\\z = \frac{60000-47500}{12500}\\= \frac{12500}{12500}\\= 1

Looking in the z-score table, we get

P(Z<60000) = 0.8413

In order to find the probability P(Z>60000) => 1-P(Z<60000)

= 1-0.8413

=0.1587

Converting into percentage: 0.1587*100 = 15.87%

Hence,

Option C: 15.87 is the correct answer

4 0
3 years ago
The sales tax rate is 8.75% and the sales tax is $15.75, what is the purchase price? (Round to the nearest cent.)
ivann1987 [24]
X= purchase price


Multiply purchase price by sales tax % to equal the amount of sales tax.

(8.75% * x)= $15.75
convert % to decimal (8.75% ÷ 100)

0.0875x= 15.75
divide both sides by 0.0875

x= $180.00 purchase price


ANSWER: The purchase price is $180.00 (to nearest cent).

Hope this helps! :)
4 0
3 years ago
NOBODY RESPONDED ON MY LAST QUESTIONS BUT I NEED HELP!!!!
vova2212 [387]

Answer:

Step-by-step explanation:

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6 0
3 years ago
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