Answer:
Probability that 100 or fewer of these Americans could only converse in one language is 0.8599.
Step-by-step explanation:
We are given that a recent study reported that 73% of Americans could only converse in one language.
A random sample of 130 Americans was randomly selected.
Let 
= <u><em>sample proportion of Americans who could only converse in one language.</em></u>
The z score probability distribution for sample proportion is given by;
Z = 
~ N(0,1)
where, p = population proportion of Americans who could only converse in one language = 73%
= sample proportion = 
= 0.77
n = sample of Americans = 130
Now, probability that 100 or fewer of these Americans could only converse in one language is given by = P( 
0.77)
P( 0.77) = P( 
) = P(Z 1.08) = <u>0.8599</u>
The above probability is calculated by looking at the value of x = 1.08 in the z table which has an area of 0.8599.
1 yard = 3 feet.
Divide total feet by 3 feet to find the number of yards:
27 / 3 = 9 yards.
Answer: 3 x 6 + 5
or
3 x 5 + 6
or
(5 + 6) x 3
or
3 x (5 + 6)
etc.
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
The slope is usually a function of the differences in y divided by the differences in x, and it can be described in the following equation,
(1)
We can select any of the two points to be our first point, let's say, J(1,-4) is point 1, so J (x1,y1). In other words, 
and by the same way, for K(-2,8). Therefore, 
. By substituting these values in equation 1, we can deduce the following
Answer:
x = 40
Step-by-step explanation:
x + 100 + x = 180 {Straight line angles}
2x + 100 = 180 {subtract 100 from both sides}
2x = 180 - 100
2x = 80 {Divide both sides by 2)
x = 80/2
x = 40
