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Radda [10]
3 years ago
8

Pls help!!! I really need help with this, brainlist who helps

Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0
1) corresponding, congruent
2) complementary
3) alternate exterior, supplementary
4) adjacent
5) corresponding, congruent
6) none
7) vertical, congruent
8) alternate interior, congruent
9) adjacent, supplementary, linear pair
10) vertical, congruent
11)
12) alternate interior, congruent
13) adjacent
14) supplementary
15)
16) alternate exterior
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Point V is located at -16. Points W and X are each 7 units away from Point V. Where are W and X located?
nasty-shy [4]

Answer:

Location of W is - 23, location of X is - 9.

Step-by-step explanation:

location of V = - 16

Points W and X are each 7 units away from Point V.

Let the W is at left of V and X is right of V.

location of W = -16 - 7 = - 23

location of X = - 16 + 7 = - 9

5 0
3 years ago
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
3 years ago
How do you know if you are moving the object positive or negative on the x-axis?
Nitella [24]

Answer:

Well I think positive is to the right and negative is to the left

3 0
3 years ago
Remove the brackets and simplfy 5-(6a -3b -8)​
galina1969 [7]

Answer:

−6a+3b+13

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A student has some​ $1 and​ $5 bills in his wallet. He has a total of 14 bills that are worth ​$34. How many of each type of bil
jeka57 [31]

Solution:

we are given that

A student has some​ $1 and​ $5 bills in his wallet.

Let there x $1 bills and y number of $5 bills.

He has a total of 14 bills that are worth ​$34.

So we can write

x+y=14

x+5y=34

Now solve these two equations together using substitution as follows

14-y+5y=34\\&#10;\\&#10;4y=34-14\\&#10;\\&#10;4y=20\\&#10;\\&#10;y=5\\&#10;\\&#10;x=14-y=14-5=9\\

Hence there are 9 $1 bills and 5 bills are of $5.

5 0
3 years ago
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