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oksano4ka [1.4K]
3 years ago
14

1.3. If Sara draws a red ball and DOES NOT RETURN it, and then she goes to draw a green

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Answer:

Dependent Event

Step-by-step explanation:

Assume that are 10 balls, such that:

Red = 6

Green = 4

If the balls are replaced after taken, the probability is:

Pr(Red) = 6/10

Pr(Green) = 4/10

This is referred to as independent event; because each selection do not affect the next or previous selection

However, if the balls are not replaced, the probability is:

Pr(Red) = 6/10

Pr(Green) = 5/(10 - 1) = 5/9

We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.

This is referred to as independent event; because a selection affects the next selection

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Answer:

The test statistic is z=2.5.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that more than 10% of the 16 ounce cups are underfilled.

Then, the null and alternative hypothesis are:

H_0: \pi=0.1\\\\H_a:\pi>0.1

The significance level is assumed to be 0.05.

The sample has a size n=100.

The sample proportion is p=0.18.

p=X/n=18/100=0.18

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.001}=0.03

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.18-0.1-0.5/100}{0.03}=\dfrac{0.075}{0.03}=2.5

This test is a right-tailed test, so the P-value for this test is calculated as:

P-value=P(z>2.5)=0.006

As the P-value (0.006) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

7 0
3 years ago
A jar contains some bacteria. Every day the number of bacteria
svp [43]

Answer:

Day 2

Step-by-step explanation:

Every 20 days, one jar is full.

To find when it was 1/8 full, we multiply the 20 days by 1/8.

20 x 1/8 =  2

Day 2

3 0
2 years ago
Right to expressions for 45 minus n
trapecia [35]

Answer:

45-n

Step-by-step explanation:

i think this is what you mean

4 0
3 years ago
PLEASE HELP ITS DUE IN 20 MINUTES
anastassius [24]

Answer:14

Step-by-step explanation: it's says x= the sign at the end meaning whatever x is it's greater than 2 and 14 is the only one greater than 2

8 0
3 years ago
Find the value of x.
nikklg [1K]

Answer:

x = 13

Step-by-step explanation:

Sum or interior angles of a triangle is 180,

6x + 19 + 5x - 15 + 3x - 6 = 180

6x + 5x + 3x + 19 - 15 - 6 = 180

14x + 19 - 21 = 180

14x - 2 = 180

14x = 180 + 2

14x = 182

x = 182 / 14

x = 13

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3 years ago
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