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yawa3891 [41]
2 years ago
7

Jackson is playing a game of chance where he must randomly draw a marble out of a jar. He calculates the probability of drawing

a red marble to be . What is the probability of not drawing a red marble?
Mathematics
1 answer:
Sindrei [870]2 years ago
8 0

Using complementary events, considering a \frac{1}{4} probability of drawing a red marble, the probability of not drawing a red marble is of \frac{3}{4}.

<h3>What are complementary events?</h3>

They are mutually exclusive events which have the sum of their probabilities as 1.

In this problem, we consider that there is a \frac{1}{4} probability of drawing a red marble, and since drawing a red marble and drawing a non-red marble are complementary events, we have that:

\frac{1}{4} + p = 1

p = \frac{3}{4}

The probability of not drawing a red marble is of \frac{3}{4}.

More can be learned about complementary events at brainly.com/question/9752956

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The length of a new rectangular playing field is 3 yards longer than double the width. If the perimeter of the rectangular playi
Romashka-Z-Leto [24]

Answer:

121 x 59 (Dimensions)

Step-by-step explanation:

6x + 6 = 360

Take away 6 from both sides

6x = 354

Divide both sides by 6

x = 59

The length is 2x + 3 because it says 3 more than double the width (lenght is x). You have 2 widths and 2 lengths. The two widths are both x (2x). The two lengths are both 2x + 3 (4x + 6). 2x + 4x + 6 = 6x + 6.

Now input 59 for x

2(59) + 3 = 121

x = 59

Check Your Answer

121 is just one length and 59 is just one width, so you have to multiply both sides by 2 because you have 2 widths and 2 lengths.

121 x 2 = 242

59 x 2 = 118

242 + 118 = 360

8 0
3 years ago
6/25 equals D Over 30 what does D equals
Rufina [12.5K]
Your equation is 6/25 = d/30. to solve this equation we have to get d by itself! to do this, you have to multiply each side by 30 since d is being divided by thirty. d/30 x 30 = d, 6/25 x 30 =  7.2, or 7 2/10

therefore, d = 7.2
hope this helps!
4 0
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
Write 0.000012001 in scientific notation. 0.000012001 =​
LUCKY_DIMON [66]

Answer:

<em>The answer is 1.2001 * 10^-5</em>

8 0
3 years ago
The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.
ziro4ka [17]

Answer:

-2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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