All categories

3 years ago

Find the slope of the line that passes through (-34, 81) and (32, 12).

Mathematics

1 answer:

Sauron [17]3 years ago

7 0

Answer:-23/22 or -1.045

Step-by-step explanation:

slope = rise/run

Slope =y2−y1x/2−x1 (The 2's and 1's here should be subscripts sorry)

slope= 12-81 (the y's) divided by 32-(-34)( the x's)

12-81/32-(-34) (Parentehsis just to emphisis the minus a negative number the second coordinate is -32)

slope= -69/66

simplfy to -23/22 or to decimal

slope = -1.045

You might be interested in

The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be 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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

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

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

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

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

3 years ago

A certain function is defined as "multiply the input by -3/4,then add 2 I need the function rule asap

Olegator [25]

Hi there!

The answer is:
$y = - \frac{3}{4} x + 2$

Let the input be represented by X. We can see we have to multiply it by -3/4, so we get -3/4X. To find our outcome (which is represented by y), we only have to add 2 to the function.
y (outcome) = - 3/4x (income) + 2

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

7 0

4 years ago

Read 2 more answers

a cell phone company sold 4,000 cell phones in the month of November. In December, the company held its annual sale and sold 22

Gre4nikov [31]

$\frac{x}{4000 } = \frac{78}{100}$
78×4000=312000
100×x=100x
312000÷100=3120
3120+4000=7120<----2nd month
7120×0.5=3560<----3rd month
4000<----1st month
4000+3560+7120=14680<----Your answer, this is the total of the three months.

4 0

3 years ago

This is the sum of the lengths of all the sides of a polygon expresses in linear units

8090 [49]

Answer:

It's called " perimeter "

Step-by-step explanation: