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3 years ago

15

at tanika's school , three people are chosen in the first round. each of those people chooses 3 people in the second round, and

so on. how many people are chosen in the sixth round?

1 answer:

Alina [70]3 years ago

4 0

729 people are chosen on the sixth round.

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Find the area of the trapezoid.

irga5000 [103]

Answer:

The area of this trapezoid is 28 square meters

Step-by-step explanation:

A=a+b /2 h

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3 years ago

Division facts for 2,5,10

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3 years ago

In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6977subjects randomly selec

kirza4 [7]

Answer:

Given :An Internet survey was e-mailed to 6977 subjects randomly selected from an online group involved with ears. There were 1337 surveys returned.

To Find : Use a 0.01 significance level to test the claim that the return rate is less than 20%.

Solution:

n = 6977

x = 1337

We will use one sample proportion test

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{1334}{6977}$

$\widehat{p}=0.1911$

We are given that the claim is the return rate is less than 20%.

$H_0:p=0.2\\H_a:p$

Formula of test statistic = $\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

= $\frac{0.1911-0.2}{\sqrt{\frac{0.2(1-0.2)}{6977}}}$

= $−1.858$

Refer the z table

P(z<-1.85)=0.0332

Significance level = 0.01=α

Since p value > α

So, we accept the null hypothesis .

So,the claim that the return rate is less than 20% is false.

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3 years ago

One card is drawn at random from a deck of 52 cards. The first card is not replaced, and a second card is drawn. (Enter your pro

andriy [413]

Answer:

We have a 52 card deck:

a. Find the probability that both cards are clubs.

The probability of drawing a club will be equal to the quotient between the number of clubs in the deck divided by the total number of cards in the deck.

We initially have 13 clubs and 52 cards, then the probability of drawing a club in the first draw is:

p1 = 13/52.

Now the probability of drawing a club in the second draw will be:

p2 = 12/51

Where each number is decreased by one because we already drew a card, and that card was a club.

Then the probability of both events happening will be equal to the product of the individual probabilities:

P = p1*p2 = (13/52)*( 12/51) = 0.059

b. Find the probability that the first card is a spade and the second is a club.

Same as before, the probability of first drawing a spade is:

p1 = 13/52

And the probability of drawing a club in the second draw will be:

p2 = 13/51

This case differs from the prior one because for the second draw we have 13 clubs in the deck, and as we already drew one card (that was not a club) the total number of cards in the deck is 51.

Now the joint probability will be:

P = p1*p2 = (13/52)*(13/51) = 0.064

3 0

3 years ago

Find the value of each variable. X and y. 26 30

meriva

Answer:

x = 13 and y = 13√3

Step-by-step explanation:

Recall that sin Ф = opposite side / hypotenuse, and that

cos Ф = adjacent sice / hypotenuse.

if we recognize that the angle Ф is 30° here, then we know that:

x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.

and....

y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3

In summary, x = 13 and y = 13√3

3 0

3 years ago