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S_A_V [24]
2 years ago
13

What is the slope of the line through (-1,4) and (1, -2)

Mathematics
2 answers:
DaniilM [7]2 years ago
8 0

Answer:

B. -3

Got It Right On The Test

8_murik_8 [283]2 years ago
4 0

Answer:

D

Step-by-step explanation:

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To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 an
kolbaska11 [484]

Answer:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (200,20)

For u = 200 and o = 20

For this case we can use the z score in order to solve this problem, given by this formula:

Z = x-u/o

For this part we want to find a value a, such that we satisfy this condition:

P (X > a) = 0.1 (a)

P (X < a) = 0.9 (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P ( X < a) = P (X-u/o < a - u/o) = 0.9

P (z < a-u/o) = 0.9

But we know which value of z satisfy the previous equation so then we can do this:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

3 0
2 years ago
Godfrey is planning to make muffins for the community bake sale. He only has 1 3/4 cup of sugar. If one batch requires him to us
aivan3 [116]

Answer:

3 1/2 Batches.

Step-by-step explanation:

1 3/4 (or 1.75) divided by 1/2 (or 0.5) equals 3.5

5 0
3 years ago
On a map, the length of a nature trail is 7.2 centimeters. If the scale is 1 centimeter to 25 kilometers, what is the actual len
Lisa [10]
A:b=c:d
7.2:x=1:25. If u see two ratios equal each other, the product of a and d is equal to the product of b and c. This means that (7.2 times 25) is equal to x. This equals 180=x. The actual distance of the trail of 180 km. Hope this helps!
7 0
3 years ago
Persia make a flower arrangement using the eight longest flowers which is the combined height of flowers Persia uses
andriy [413]

Answer:

Persia should measure the length of each flower that she used in creating this flower arrangement and add up all the values to get the total height (i.e., the combined height) of the eight flowers used. Make sure to keep the units consistent all throughout the calculation to avoid any errors. For example, if centimetres are used to measure height of one flower, use centimetres all throughout and not switch to using inches at any point.

Hope that answers the question, have a great day!

6 0
3 years ago
Brian claims that he can eat a pie that is divided into 6 equal pieces in 2 minutes if he can eat the whole pint 2 minutes how l
alekssr [168]
A third of a minute
3 0
3 years ago
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