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3 years ago

What the answer y-8=-2 (x-7)

1 answer:

5 0

The answer is:
Solve for y in the first equation
y=−5
y=8−x

Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is −5y=−5(−5)=8−x

Remove parentheses.y=−5−5=8−x

Solve for x in the second equation.y=−5
x=13
The answer is (13,−5) Please mark as Brainliest

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Solve -1/2w-3/5=1/5w

elena55 [62]

Very easy:

Common denominator:
-5/10w - 3/5 = 2/10w

- 3/5 = 7/10w

-30 = 35w

-30/35 = w

-6/7 = w

That's how you do it mate ;)

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3 years ago

The diameter of a circular swimming pool is 15 feet. Find the circumference.

Nuetrik [128]

47.12
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3 years ago

Bo paid bills with 1/2 of his paycheck and put 1/5 of the remainder in savings. The rest is his paycheck he divided equally amon

Ratling [72]

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3 years ago

Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 1114

DiKsa [7]

Answer:

$20

Step-by-step explanation:

Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?

Step 1

Find out how many loaves of bread he can produce from 18 cups of flour

11 1/4 cups of flour = 5 loaves of bread

18 cups of flour = x loaves of bread

Cross Multiply

11 1/4 cups × x loaves = 18 cups × 5 loaves

x loaves = 18 cups × 5 loaves/ 11 1/4 cups

x loaves = 90 ÷ 11 1/4

x loaves = 90 ÷ 45/4

x loaves = 90 × 4/45

x loaves = 8 loaves of bread

He can produce 8 loaves of bread from 18 cups of flour.

Step 2

We are told that:

1 loaf of bread costs $2.50

Hence,

1 loaf of bread = $2.50

8 loaves of bread = $x

Cross Multiply

$x = 8 loaves of bread × $2.50

$x = $20

Therefore, Paul made $20 from his bread sales

8 0

2 years ago

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

VikaD [51]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$P(X = 8) = 0.0037$

$P(X < 5) = 0.805$

$P(X > 6) = 0.0206$

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is $p = 0.267$

Generally data collected from this study follows binomial distribution because the number of trials is finite , there are only two outcomes, (covering , and not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable X we have that

$X \ \ \~ \ \ { B ( p , n )}$

The probability distribution function for binomial distribution is

$P(X = x ) = ^nC_x * p^x * (1 -p) ^{n-x}$

Considering question a

Generally the the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as

$P(X = 8) = ^{12} C_8 * (0.267)^8 * (1- 0.267)^{12-8}$

Here C denotes combination

$P(X = 8) = 495 * 0.000025828 * 0.28867947$

$P(X = 8) = 0.0037$

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as

$P(X < 5 ) =[P(X = 0 ) + \cdots + P(X = 4)]$

=> $P(X < 5 ) =[ ^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0} + \cdots + ^{12} C_4 * (0.267)^4 * (1- 0.267)^{12-4} ]$

=> $P(X < 5 ) = 0.02406 + 0.10516 + 0.21067 + 0.25580 + 0.20964$

=> $P(X < 5) = 0.805$

Considering question c

Generally the probability that fewer than half(6) covered their mouth when sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

$P(X > 6) = 1 - p(X \le 6)$

=> $P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)]$

=> $P(X > 6)=1 - [^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 * (0.267)^6 * (1- 0.267)^{12-6} ]$

=> $P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ]$

=> $P(X > 6) = 0.0206$

I would be surprised because the value is very small , less the 0.05

8 0

3 years ago