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just olya [345]
3 years ago
12

Which of the following represents the distance

Mathematics
1 answer:
Lunna [17]3 years ago
3 0

Answer:

D.  d = sqrt( ( x2-x1)^2 + (y2-y1)^2)

C.   d = sqrt( ( x1-x2)^2 + (y1-y2)^2)

B.  d = sqrt( (|x2-x1|^2 + |y2-y1|^2)

Step-by-step explanation:

Given two points (x1, y1) and (x2,y2)  we can find the distance using

d = sqrt( ( x2-x1)^2 + (y2-y1)^2)

The order of the terms inside the square doesn't matter

d = sqrt( ( x1-x2)^2 + (y1-y2)^2)

When we are squaring are term, we can take the absolute value before we square and it does not change the value

d = sqrt( (|x2-x1|^2 + |y2-y1|^2)

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Teacher's salaries in Georgia are normally distributed with an average salary of $52,000 with a standard deviation of $12,000. W
suter [353]

Answer:

81.85%

Step-by-step explanation:

We have the following information:

mean = m = 52000

standard deviation = sd = 12000

a = 40000

b = 76000

we need to find the probability between a and b, that is:

P (a <x <b) = P (40,000 <x <76000)

P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]

replacing

P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]

P (-1 <z <2)

P (z <= -1) - P (z <= 2)

We look for this value of z, in the attached table:

0.9772 - 0.1587

P = 0.8185

In other words, the probability is 81.85%

8 0
3 years ago
which of the following is the most appropriate unit to describe a time you can drive a car based on the amount of gas?
Phoenix [80]
Miles per hour (Mph)
6 0
3 years ago
What is 7.2 times 10 to the 7th power times 14.6 x 10 to the 5th power?
Alexxx [7]

7 x 10^{7}  times 14.6 x10^{5}

<em>Multiply 7 and 14.6 and add exponents</em>

Final Answer 102.2 and 10^{5}

hope that helps :)

6 0
3 years ago
Read 2 more answers
There are 252 pieces of candy in a 14-ounce jar. How many pieces of candy are there per ounce in the jar?
djyliett [7]

"Per" essentially means "divided by." To find pieces per ounce, divide pieces by ounces.


(252 pieces)/(14 ounces) = (252/14) pieces/ounce = 18 pieces/ounce

5 0
3 years ago
Read 2 more answers
Which could be the first step in solving this system of equations by substitution?
Ainat [17]

Answer:

The first step is to replace the y in y-x=15 with 7x (we can do this because the first equation tells us that they're equal)

solve and get

(2.5,17.5)

or x= 2.5 y=17.5

Step-by-step explanation:

The first step is to recognize that y=7x which means that we can just replace the y in the second equation with 7x

7x-x=15

6x=15

x=2.5

Then we can solve for y

y=7(2.5)

y=17.5

3 0
3 years ago
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