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3 years ago

How do you find the mean?

Mathematics

1 answer:

Elina [12.6K]3 years ago

3 0

Answer:

mean is when you add all the numbers together then divide by how many values there are

Step-by-step explanation:

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What is an equation of the line that passes through the point (3,6)(3,6) and is parallel to the line 4x-3y=214x−3y=21?

polet [3.4K]

Question:

What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21

Answer:

The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:

$y = \frac{4}{3}x + 2$

Solution:

Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope and "c" is the y intercept

Given equation is:

4x - 3y = 21

Rearrange,

3y = 4x - 21

$y = \frac{4}{3}x - \frac{21}{3}\\\\y = \frac{4}{3}x - 7$

On comparing above equation with eqn 1,

$m = \frac{4}{3}$

We know that slopes of parallel lines are same

Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3

Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1

$6 = \frac{4}{3} \times 3 + c\\\\6 = 4 + c\\\\c = 2$

Substitute c = 2 and m = 4/3 in eqn 1

$y = \frac{4}{3}x + 2$

Thus the equation of line is found

4 0

3 years ago

SOMEONE PLEASE HELP THIS IS URGENT!!!!!!!!!!!!!!!

Mekhanik [1.2K]

A = -16; b= + 32.

x= -32/(2* -16).
x= -32/-32 = 0.

16(0)^2+32(0)+48.

16 + 48 = 64.

Answer: 64

6 0

3 years ago

Prove the following trigonometric identities (secx+tanx)(1-sinx/cosx)=1

miss Akunina [59]

Answer:

Below.

Step-by-step explanation:

Convert to sin's and cos's:-

(secx + tanx)(1-sinx)/cosx)

= ( 1/ cos x + sinx / cos x) * ( 1 - sin x )/ cos x)

= (1 + sin x) / cos x) * ( 1 - sin x ) / cos x

= (1 - sin^2 x) / cos^2 x

But 1 - sin^2 x = cos^2 x

so we have

cos^2 x / cos^2 x which = 1.

8 0

3 years ago

A boat traveled at a constant speed for 5 hrs, covering a total distance of 50 miles. How fast was it going

Oduvanchick [21]

Answer:

10 mph

Step-by-step explanation:

50 divided by 5 is 10

4 0

3 years ago

The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 1000 lbs

ElenaW [278]

Answer:

0.9466 = 94.66% probability that the weight of a randomly selected steer is between 639 and 1420lbs.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1000, \sigma = 200$