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adell [148]
2 years ago
13

Write the equation of equation of the line parallel to 5x - 2y = 10 that goes through the point (-3, 6).

Mathematics
2 answers:
maks197457 [2]2 years ago
8 0

Answer:

<u>y=5/2x+13.5</u>

Step-by-step explanation:

5x-2y=10

-2y=-5x+10

y= 5/2x-5

y-6=5/2(x+3)

y-6=5/2x+ 7.5

<u>y=5/2x+13.5</u>

olga_2 [115]2 years ago
4 0

Answer:

Step-by-step explanation:

First you must isolate y in the given equation

5x - 2y = 10                   Subtract 5x from both sides

-2y = -5x + 10                Divide both sides by - 2

y = -5/-2 x + 10 / -2          

y = 2.5 x - 5                The new equation has a slope of 2.5

x = - 2

y = 6

y = 2.5x + b

6 = 2.5*-2 + b

6 = -5 +   b                  Add 5 to both sides

6+ 5 = b

b = 11

Answer: y = 2.5x + 11

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Answer:

B) 747.7 \ yd^2

Step-by-step explanation:

Given:

Height of cylinder (h) = 10 yd

Diameter of cylinder (d) = 14 yd

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Solution:

First we will find the radius of the cylinder.

Radius is half of the diameter.

radius (r) = \frac{14}{2} = 7\ yd

Now we know that;

Surface area of cylinder is equal to 2 times π times radius(r) times sum of radius (r) and height (h).

Framing in equation form we get;

Surface area of cylinder = 2\pi r(h+r)

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Rounding to nearest tenth we get;

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3 0
3 years ago
The J.O. Supplies Company buys calculators from a non-US supplier. The probability of a defective calculator is 10 percent. If 3
RSB [31]

Answer:

There is a 24.3% probability that one of the calculators will be defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability of a defective calculator is 10 percent.

This means that p = 0.1

If 3 calculators are selected at random, what is the probability that one of the calculators will be defective

This is P(X = 1) when n = 3. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{3,1}.(0.1)^{3}.(0.9)^{2} = 0.243

There is a 24.3% probability that one of the calculators will be defective.

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3 years ago
In an all boys school, the heights of the student body are normally distributed with a mean of 71 inches and a standard deviatio
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Step-by-step explanation:

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1) About 68% of the x values lie between 1 standard deviation below and above the mean.

2) About 95% of the x values lie between 2 standard deviations below and above the mean.

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From the information given,

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71 + 5 = 76 inches

7 0
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