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maw [93]
3 years ago
12

Simplify the expression: -10(32-6) ————— 3

Mathematics
2 answers:
iogann1982 [59]3 years ago
7 0

Answer:

-260

Step-by-step explanation:

First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.

So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.

So, -320 + 60 = -260

skelet666 [1.2K]3 years ago
5 0

Answer: -260

Step-by-step explanation:

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Monthly water bills for a city have a mean of $108.43 and a standard deviation of $36.98. Find the probability that a randomly s
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Answer:

The bill size can be considered usual.

Step-by-step explanation:

Mean (μ) = $108.43

Standard deviation (σ) = $36.98

Now, consider the distribution to be normal distribution :

P(Z=\frac{X-\mu}{\sigma}>\frac{a-\mu}{\sigma})=P(Z>\frac{173-108.43}{36.98})\\\\\implies P(Z>1.75)

Now, finding values of z-score from the table. We get,

P(Z > 1.75) = 0.9599

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So, only 4.01 % of the people in the city wastes water.

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6 0
3 years ago
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The height of a certain banner is equal to one third of its length. If the banner is 5 ft tall, write the equation that can be u
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Answer:

L=3h

Step-by-step explanation:

Let height of a banner be h, then we know that this is \frac{1}{3} of the length L of the banner; so we have

h=\frac{1}{3} L .

Now we can rearrange this equation to solve for the length of the banner given it's height:

L=3h

So there we have it!

If the banner is 5 ft tall, then it's length will be:

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2 years ago
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hou
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This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

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Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x-ax
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Answer:

The first one

Step-by-step explanation:

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