Answer:
Distance = √34
Step-by-step explanation:
Using the formula for distance
d = √(x_2 - x_1)^2 + ( y_2 - y_1)^2
Using what we are provided with
Two points
( -2, -1)(3, 2)
x_1 = -2
y_1 = -1
x_2 = 3
y_2 = 2
Inserting the values
d = √ ( 3 -(-2)^2 + (2-(-1)^2
= √ (3+2)^2 + (2+1)^2
= √ 5^2 + 3^2
= √25 + 9
= √34
= 5.83
Answer:
b. 42 people
Step-by-step explanation:
For each foreigner living in the U.S., there are only two possible outcomes. Either they are naturalized citizens, or they are not. The probability of a foreigner living in the U.S. not being a naturalized citizen is independent from other foreigners living in the U.S. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

"approximately 60% of foreign-born people who live in the U.S. are not naturalized citizens"
This means that 
70 foreign-born people who live in the U.S
This means that 
How many people would you expect to get that are not naturalized citizens?

So the correct answer is:
b. 42 people
Answer:
9
Step-by-step explanation:
The exterior angle is equal to the sum of the 2 opposite interior angles, therefore:
9x + 9 = 45 × 5x
4x = 36
x = 9
Firstly, expand the equation.

Next, move the variable x to the left and all the constant to the right.

Then, solve for x.
Answer:
1 3/8 pounds
Step-by-step explanation:
divide 8 1/4 by 6