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 divided by 10 is equal to 0.1 so you multiply 52 by 0.1 and you get an answer of 5.2 inches
Answer:
37.75
Step-by-step explanation:
0.25 x 30 = 7.5
45.25 - 7.5 = 37.75
Answer:
7 / 13
Step-by-step explanation:
The number of cards in a standard deck = 52
Number of red cards in a deck = 26
Number of queens in a deck = 4
Selecting a card at random ;
Probability of picking a red card ;
P(red card) = number of red cards / number of cards in deck
P(red card) = 26 / 52
P(queens card) = number of queens / number of cards in deck
P(queens card) = 4 / 52
Number of red queen cards = (red n queen) = 2
P(red or queens card) = P(red) + P(queens) - P(red n queen)
P(red or queens card) = 26/52 + 4/52 - 2/52
= (26 + 4 - 2) / 52
= 28 /52
= 7 / 13
B. Sometimes because in learned that it isn't always that way.