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3 years ago

What is the distance between each pair of points?

Mathematics

2 answers:

saul85 [17]3 years ago

5 0

Answer:

The square root of 145.

Step-by-step explanation:

For this problem, make a right triangle between these two points. To solve for distance, use the Pythagorean formula. We know that one side is 8, and the other side is 9, so square 8 and 9 to get 64 plus 81. When you add these together, you get the square root of 145. You cannot further simplify the square root of 145, so that is the distance between the pair of points.

statuscvo [17]3 years ago

4 0

Answer:

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

Step-by-step explanation:

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Graph the line that passes through the points (6, -4) and (7, -4) and determine the equation of the line.

Fantom [35]

Answer:

the equation in slope intercept is y = -4.

ot your points and it is a straight line across..no slope.

8 0

3 years ago

To decrease the impact on the environment, factory chimneys must be high enough to allow pollutants to dissipate over a larger a

Komok [63]

Answer:

The probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

Step-by-step explanation:

Let the random variable X be defined as the height of chimneys in factories.

The mean height is, μ = 100 meters.

The standard deviation of heights is, σ = 12 meters.

It is provided that a random sample of n = 40 chimney heights is obtained.

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample means is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

Since the sample selected is quite large, i.e. n = 40 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean heights of chimneys.

$\bar X\sim N(\mu_{\bar x},\ \sigma^{2}_{\bar x})$

Compute the probability hat the sample mean height for the 40 chimneys is greater than 102 meters as follows:

$P(\bar X>102)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}})>\frac{102-100}{12/\sqrt{40}})$

$=P(Z>1.05)\\=1-P(Z$

*Use a z-table fr the probability.

Thus, the probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

8 0

3 years ago

I don’t understand number 5

yarga [219]

Multiply what’s on the outside to the inside, the variable is always a lower case letter such as x,

4 0

3 years ago

Suppose PV =NRT, where P=8, V=2X, N=2 and R=2X.you are given X=3. Solve for T

FromTheMoon [43]

Answer: T = 4

Step-by-step explanation:

1. Write all the variables down

P = 8 V = 2X N = 2 R = 2X X = 3

2. Since you know that X = 3 substitute it in to find V and R

V = 2X = 2(3) = 6

R = 2X = 2(3) = 6

3. Find PV

PV = P x V

= 8 x 6

= 48

4. Find NRT

NRT = N x R x T

= 2 x 6 x T

= 12 x T

= 12T

5. Find T

PV = NRT

48 = 12T

12T = 48

divide both sides by 12

T = 48 ÷ 12

T = 4

7 0

3 years ago

Which table represents a function that does not have a constant rate of change ?

EleoNora [17]

Answer:

I believe D.

Step-by-step explanation:

All the other tables increase at a stady rate but D doesn't.

4 0

3 years ago

Read 2 more answers