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3 years ago

Katherine v

Mathematics

1 answer:

maks197457 [2]3 years ago

6 0

Answer:

13/102

Step-by-step explanation:

In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 black cards in the deck of 52 cards.

Probability of drawing a black card = 26/52 = 1/2

Suppose we drew the black card. There are now only 51 cards left in the deck. ALL of the hearts are still there - 13 of them.

Probability of drawing a heart from this deck of 51 = 13/51

In general, for the probability of event A and then event B, we multiply.

1/2 x 13/51 = 13/102

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What is the equation linethatis perpendicular to the given line and passes through the point (3,0)?

vladimir1956 [14]

Answer:

3y+x = 3

Step-by-step explanation:

for the point ( 3,0)

x=3 , y= 0

the equation for the line is given as

y-y1= m(x-x1)

for perpendicular ,

m= -1/x

y-0 = -1/3(x-3)

3y= -x +3

3y+x=3

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3 years ago

Please answer the question and explain your answer. I will be marking brainiest with the correct answer and best explanation.

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Answer:

28.26

Step-by-step explanation:

A = r^2

So the equation is. Area of circle = pi(3.14) * radius(3) to the power of 2 (^2)

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3 years ago

If 25 cents are the same as 1/4; how many 1/4 are in $10?

Snezhnost [94]

Answer:

Step-by-step explanation:

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3 years ago

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What's the equation of the graph shown above?

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Step-by-step explanation:

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3 years ago

According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th graders in 2010 had used marijuana at

miskamm [114]

Answer:

The conditions for use of the normal model to represent the distribution of sample proportion are not met. He should increase the sample size until the conditions are met.

If the test is done anyway, the null hypothesis failed to be rejected.

The conclusion is taht there is not enough evidence to support the claim that the percentage is lower in this district.

Step-by-step explanation:

The conditions for use of the normal model to represent the distribution of sample proportion are not met, as the affirmative responses are less than 10.

$np=80*0.1=8$

If the test of hypothesis is done as if the conditiones were met, we know that the claim is that the percentage is lower in this district.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.173\\\\H_a:\pi$

The significance level is 0.05.

The sample has a size n=80.

The sample proportion is p=0.1.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.173*0.827}{80}}\\\\\\ \sigma_p=\sqrt{0.001788}=0.042$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.1-0.173+0.5/80}{0.042}=\dfrac{-0.067}{0.042}=-1.578$

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

$P-value=P(z$

As the P-value (0.057) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the percentage is lower in this district.

7 0

3 years ago