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3 years ago

5

There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the probability that

it will rain tomorrow and the volleyball game will be postponed?

2 answers:

just olya [345]3 years ago

8 0

I believe it is 14%

because 20% = 0.2 and 70% = 0.7

then 0.2 * 0.7 = 0.14

0.14 = 14%

14% is answer srry if wrong

lions [1.4K]3 years ago

7 0

0.20/0.70 = 0.2857

28.6% chance

round the answer as needed.

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In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden

Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that $n = 2161, \pi = \frac{1214}{2161} = 0.5618$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Margin of error:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}$

$M = 0.0209$

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

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3 years ago

Jean throws a ball with an initial velocity of 64 feet per second from a height of 3 feet. Write an equation and answer the ques

Korvikt [17]

Answer:

Step-by-step explanation:

From what I understand about parabolic motion in the English system, the equation for flight is

$s(t)=-16t^2+v_{0}t+h_{0}$

where $v_{0}t$ is the initial upwards velocity and

$h_{0}$ is the initial height from which the object was launched. Filling in that equation with those values gives you

$s(t)=-16t^2+64t+3$ . That's a.

In order to determine how long it will take the ball (or rocket...the problem is mixing up the 2) to reach its max height you need to put the equation into vertex form, since the vertex of a parabola is the absolute max (or min depending upon the parabola) of the function. The absolute max is the heighest that the ball will go. Completing the square is the way to solve this. Begin by setting the equation equal to 0, the moving the 3 over by subtraction:

$-16t^2+64t=-3$

Now factor out the -16 since the leading coefficient HAS to be a positive 1:

$-16(t^2-4t)=-3$

Now take half the linear term (half of 4t which is 2), square it (4) and add it into the parenthesis:

$-16(t^2-4t+4)=-3$

BUT since you added in a 4*-16 on the left you have to add it in on the right:

$-16t^2(t^2-4t+4)=-3-64$

which simplifies to

$-16(t-2)^2=-67$

Now bring the 67 over by addition and you have your vertex:

$s(t)=-16(t-2)^2+67$ .

The vertex is (2, 67). The 2 stands for time, so 2 seconds, and the 67 stands for feet, so at 2 seconds the max height is 67 feet.

How long it will be in the air is found by factoring to find the zeros. These can be found by plugging the quadratic into the quadratic formula and getting that the zeros are -0.046 and 4.046

So the quadratic starts a tiny tiny bit to the left of the origin, but for all intents and purposes we can say it starts at the origin (x = 0) and ends at

x = 4.05 seconds. Which makes sense if you know anything about parabolic motion and physics. The vertex indicates not only the time and the max height at that time, it also is indicative of the halfway mark. Meaning that if it takes 2 seconds to reach its max height, it will hit the ground at 4 seconds. And 4.05 is close enought to 4 (but since you were told to round to the nearest hundredth, that .05 matters). Sorry it's so long, but it's not a question that can be answered with just a few sentences.

5 0

3 years ago

The two sets of lines are parallel. If the measure of angle A is 110°, what is the measure of angle B?

Mrrafil [7]

Answer:

Sum of 2 interior angles =180

1 angle+70=180

Another angle=110

Step-by-step explanation:

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3 years ago

I need help on this thx

Anuta_ua [19.1K]

Answer: x = 75

Explanation: Basically, the three angles of the triangle add up to 180 degrees. The bottom left angle is ninety degrees. (You can figure that out by looking at the symbol that looks like a square in the bottom left angle of the triangle.) If you see that in other problems it means that that angle equals 90 degrees. To find the bottom right angle, you take 165 and subtract it from 180 because the diagonal line intersects the line that is going horizontally. That would give you 15. You can check this by adding 15 and 165 and you know that you’re right if you get 180. That gives you two angles. As I said in the beginning, the three angles of the triangle should add up to 180. Now you have 90 degrees and 15 degrees. You add those two and you get 105. Now all you have to do is subtract 105 from 180. You should get 75. You can check if you get the right answer by adding 90, 15, and 75 together. If you get 180 then you are correct. If you don’t get 180 then you did something wrong and should do the problem again. Sorry for the long paragraph, I wanted to get all the details in in case you had any questions. :) Hope this helps.

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3 years ago

GCF of 20 and another number is four. Which of these could be the other number

Nina [5.8K]

Answer:

36

Step-by-step explanation:

4 x 9=32

3 0

3 years ago

Read 2 more answers