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Mashcka [7]
2 years ago
5

What is the slope of the line that passes through the points (2,8) and (12,20)?

Mathematics
1 answer:
Katen [24]2 years ago
4 0

First find slope we use : m=y2-y1/x2-x1

1) 20-8/12-2 = 8/10 in simple form 4/5
You might be interested in
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t
LekaFEV [45]

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

H_0: \mu = 59.5

At the alternate hypothesis, we test that it is different, that is:

H_a: \mu \neq 59.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that \mu = 59.5

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that n = 250, X = 59.2, \sigma = 1.9

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}

z = -2.5

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

5 0
2 years ago
What number must be added to 36 to obtain −12
dezoksy [38]
The correct answer is -48

36 + x = -12
X = -12 - 36
x = -48

36 + (-48) = -12
36 - 48 = -12
3 0
2 years ago
How do I solve this?
Readme [11.4K]

Answer:

  x ≈ -4.419

Step-by-step explanation:

Separate the constants from the exponentials and write the two exponentials as one. (This puts x in one place.) Then use logarithms.

  0 = 2^(x-1) -3^(x+1)

  3^(x+1) = 2^(x-1) . . . . . add 3^(x+1)

  3×3^x = (1/2)2^x . . . . .factor out the constants

  (3/2)^x = (1/2)/3 . . . . . divide by 3×2^x

Take the log:

  x·log(3/2) = log(1/6)

  x = log(1/6)/log(3/2) . . . . . divide by the coefficient of x

  x ≈ -4.419

_____

A graphing calculator is another tool that can be used to solve this. I find it the quickest and easiest.

_____

<em>Comment on alternate solution</em>

Once you get the exponential terms on opposite sides of the equal sign, you can take logs at that point, if you like. Then solve the resulting linear equation for x.

  (x+1)log(3) = (x-1)log(2)

  x=(log(2)+log(3))/(log(2)-log(3))

4 0
2 years ago
13. Daniel bought some oranges and x apples. He bought twice as many oranges as apples. Each apple
valentinak56 [21]

Step-by-step explanation:

multiply

when 1 number is given and many is asked means multiply

4 0
2 years ago
Please I’m begging for someone to help me!!
inysia [295]
W=y (opposite angles are equal)
z=x (opposite angles are equal)
Y= 35
Z= 55
X= 55
S= 35
U= 35
V= 55
T= 55
5 0
3 years ago
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