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3 years ago

If a line has a slope of 2 and contains the point (-2, 1) what is the equation in point slope form

Mathematics

1 answer:

Elden [556K]3 years ago

4 0

Answer:

y - 1 = 2(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 2 and (a, b) = (- 2, 1), thus

y - 1 = 2(x - (- 2)), that is

y - 1 = 2(x + 2) ← in point- slope form

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Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketbal

sweet-ann [11.9K]

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

Mean $(\mu)$ = 70 inches

Standard deviation $(\sigma)$ = 3 inches

Average basket ball player $(\bar{X})$ = 79 inches

Since it is normally distributed assume with 5% significance .

So, it becomes,

$Z>\frac{\bar{X}-\mu}{\sigma}\\\\Z>\frac{79-70}{3}\\\\Z>\frac{9}{3}\\\\Z>3\\\\\therefore\ P(Z>3)=1-0.9987=0.0013$

At 0.05 level of significance , 0.0013 = 0.13% of the adult male population is taller than the average basketball player .

Hence, First Option is correct.

5 0

3 years ago

Read 2 more answers

A circular cardboard piece is needed for the base of a volcano model. The volcano is 46 centimeters tall and has a volume of 800

Alenkinab [10]

For this case we can model the problem as a cylinder.
The volume of a cylinder is given by:
$V = Ab * h
$
Where,
Ab: base area
h: cylinder height
Substituting values in the equation we have:
$800 = Ab * 46
$
From here, we can clear the area of the base
Answer:
An equation that can be used to find the area of the circular base is:
$800 = Ab * 46$

7 0

3 years ago

Read 2 more answers

If a water tank already contains 55 gallons of water when baxter begins to fill it and water is flowing in at a rate of 8 gallon

saw5 [17]

Answer:

I think it would be 55+8x. I hope this helps. :)

Step-by-step explanation:

55 gallons of water

8 gallons per minute

It would be 55 gallons (the original amount in the tank) plus 8 gallons per minute. (8x)

x = how many minutes the tank is being filled up more.

so if you were to fill up the tank another 5 minutes, the equation would be 55+8(5)

55+40

95 would be the answer.

6 0

3 years ago

If M <1 = 115 degrees what is m <2

SIZIF [17.4K]

Answer:

M<2= 65

Step-by-step explanation:

The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.

You would use angle addition postulate to find the answer so M<1 + M<2 = 180.

Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180

Then you would subtract 115 from 180 in which you would get M<2 = 65

6 0

3 years ago

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Rob

Blababa [14]

Question:

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounces. Robin’s basket contains 6 apples, each weighing 6 1/2 ounces. Whose basket is heavier and by how much?

Answer:

Robin’s basket is heavier than Ted’s basket by 2.75 ounces

Step-by-step explanation:

Given:

Ted’s basket contains = 5 apples

Weight of each apple in Ted’s basket = 7 1/4 ounces

Robin’s basket contains = 6 apples

Weight of each apple in Robin’s basket = 6 1/2 ounces

To Find:

Whose basket is heavier and by how much?

Solution:

Step 1: Finding the weight of Ted’s basket