How would I factor x2 + 13x + 22

A recent study reported that 73% of Americans could only converse in one language. A random sample of 130 Americans was randomly

castortr0y [4]

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 $\hat p$ = sample proportion of Americans who could only converse in one language.

The z score probability distribution for sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion of Americans who could only converse in one language = 73%

$\hat p$ = sample proportion = $\frac{100}{130}$ = 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( $\hat p$ $\leq$ 0.77)

P( $\hat p$ $\leq$ 0.77) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.77-0.73}{\sqrt{\frac{0.77(1-0.77)}{130} } }$ ) = P(Z $\leq$ 1.08) = 0.8599

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.

8 0

3 years ago

PLEASE HELP

Tamiku [17]

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

6 0

4 years ago

Juan received a $45.25 gift card for a photo center. He used it to buy prints that cost 25 cents each. The remaining balance, B

Bas_tet [7]

Answer:

37.75

Step-by-step explanation:

0.25 x 30 = 7.5

45.25 - 7.5 = 37.75

4 0

3 years ago

A magician showed a magic trick where he picked one card from a standard deck. Determined what the probability is that the card

8_murik_8 [283]

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

5 0

3 years ago

Parallel lines in space are coplanar. a. always b. sometimes c. never

Katyanochek1 [597]

B. Sometimes because in learned that it isn't always that way.

3 0

3 years ago