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Alekssandra [29.7K]
3 years ago
13

There are 4 red cars and 8 black cards in a bag. How is it likely that you will randomly draw a blue card

Mathematics
1 answer:
Verdich [7]3 years ago
4 0

Answer:

C) Impossible

Step-by-step explanation:

Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.

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Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat
NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that n = 65, \pi = 0.76

99% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0
3 years ago
What is the solution to 2x^2+8x=x^2-16?<br> x=4<br> x=22<br> x=2<br> x=4
Taya2010 [7]

Answer:

x = -4

Step-by-step explanation:

2x² + 8x = x² - 16

x² + 8x + 16 = 0

x² + 4x + 4x + 16 = 0

x(x + 4) + 4(x + 4) = 0

(x + 4)² = 0

x = -4

4 0
3 years ago
Read 2 more answers
If Mike has m pencils and Jen has three times as many pencils as Mike, how many more pencils does Jen have?
tiny-mole [99]

Answer:

If Sarah has three times as many pencils as Mike she has 3  times the number of pencils Mike has which is equivalent to 3 * m. That means Mike has m pencils and Sarah has 3m pencils. they have m + 3m pencils. The expression would be total:  m + 3m.

Step-by-step explanation:

4 0
2 years ago
A relation is a function if _____.
valentina_108 [34]
... <span>exactly one output for each input

This is an important concept; be certain that you understand it.

</span>
8 0
3 years ago
F(x) = 9x - 1.1; x = -2.4
STatiana [176]

Answer:

hdsjhsysbbdjdhxhchdbbdhd

5 0
3 years ago
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