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2 years ago

PLEASE HELP WILL GIVE BRAINLIEST

Mathematics

1 answer:

OlgaM077 [116]2 years ago

5 0

Answer:

Step-by-step explanation:

"Any particular event either (a) will happen or (b) won't happen."

That statement above is a certainty, probability = 100% = 1

This means the probability that event E will happen plus the probability that even E won't happen must add up to 100% = 1

So we can always say --> prob(E) + prob (not E) = 1

The probability you will roll a 5 on a fair, six-sided die is 1/6.

So we use that to find the probability of not rolling the 5.

1/6 + prob(not E) = 1

prob(not E) = 1 - 1/6 <---- This is answer G

prob(not E) = 5/6

Hope this helps.

You might be interested in

What’s the volume of the cone if the height is 7 cm and the base it 10 cm

pogonyaev

Answer:

23.3333333333...

Step-by-step explanation:

10 x 7 = 70

70/3 = 23.333333333...

5 0

3 years ago

Can someone help me with solving volume equations?

Helen [10]

Answer:

For 2, 30 cubic m., For 3, 90 cubic cm., For 4, 1000 cubic yards, for 5, 27 cubic mm., For 6, 120 cubic in.

Step-by-step explanation:

You can simply multiply all 3 sides to get the cubic volume B x h is the same as l x w x h

ex. Number 2, length 3, width 2, height 5

Base is 2x3=6 times 5 = 30 or 2 x 3 x 5=30

3 0

3 years ago

7 times as much as sum of 1/3 and 4/5

Salsk061 [2.6K]

So the formula is
7*(1/3+1/5) = x

First find the common denominator of the fractions. In this case the common denominator of 3 and 5 is 15 so we must convert them to 15ths. To do that we divide 15 by the denominator and take that answer and multiply the numerator by it.

So for 1/3 we take 15/3(denominator) = 5 and multiply the numerator (1) by it

5 * 1 = 5 so 1/3 converts to 5/15

Do the same for 1/5 we take 15/5 = 3 and multiply the numerator (4) by it

3*4 = 12 so 4/5 converts to 12/15

Now we add 5/15 and 12/15 = 17/15 so we have our formula now to

7*17/15

We make seven a fraction 7/1 and multiply across 7*17 = 119 and 15 * 1 = 15

We have 119/15 which when we divide and get 7 14/15 as your answer

8 0

3 years ago

Read 2 more answers

In 2002, the mean age of an inmate on death row was 40.7 years with a standard deviation of 9.6 years according to the U.S. Depa

marissa [1.9K]

Answer:

The 95% confidence interval for the current mean age of death-row inmates is between 42.23 years and 35.57 years.

Step-by-step explanation:

The confidence interval of the mean is given by the next formula:

$\\ \overline{x} \pm z_{1-\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$ [1]

We already know (according to the U.S. Department of Justice):

The (population) standard deviation for this case (mean age of an inmate on death row) has a standard deviation of 9.6 years ( $\\ \sigma = 9.6$ years).
The number of observations for the sample taken is $\\ n = 32$ .
The sample mean, $\\ \overline{x} = 38.9$ years.

For $\\ z_{1-\frac{\alpha}{2}}$ , we have that $\\ \alpha = 0.05$ . That is, the level of significance $\\ \alpha$ is 1 - 0.95 = 0.05. In this case, then, we have that the z-score corresponding to this case is:

$\\ z_{1-\frac{\alpha}{2}} = z_{1-\frac{0.05}{2}} = z_{1-0.025} = z_{0.975}$

Consulting a cumulative standard normal table, available on the Internet or in Statistics books, to find the z-score associated to the probability of, $\\ P(z$ , we have that $\\ z = 1.96$ .

Notice that we supposed that the sample is from a population that follows a normal distribution. However, we also have a value for n > 30, and we already know that for this result the sampling distribution for the sample means follows, approximately, a normal distribution with mean, $\\ \mu$ , and standard deviation, $\\ \sigma_{\overline{x}} = \frac{\sigma}{\sqrt{n}}$ .

Having all this information, we can proceed to answer the question.

Constructing the 95% confidence interval for the current mean age of death-row inmates

To construct the 95% confidence interval, we already know that this interval is given by [1]:

$\\ \overline{x} \pm z_{1-\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

That is, we have:

$\\ \overline{x} = 38.9$ years.

$\\ z_{1-\frac{\alpha}{2}} = 1.96$

$\\ \sigma = 9.6$ years.

$\\ n = 32$

Then

$\\ 38.9 \pm 1.96*\frac{9.6}{\sqrt{32}}$

$\\ 38.9 \pm 1.96*\frac{9.6}{5.656854}$

$\\ 38.9 \pm 1.96*1.697056$

$\\ 38.9 \pm 3.326229$

Therefore, the Upper and Lower limits of the interval are:

Upper limit:

$\\ 38.9 + 3.326229$

$\\ 42.226229 \approx 42.23$ years.

Lower limit:

$\\ 38.9 - 3.326229$

$\\ 35.573771 \approx 35.57$ years.

In sum, the 95% confidence interval for the current mean age of death-row inmates is between 42.23 years and 35.57 years.

Notice that the "mean age of an inmate on death row was 40.7 years in 2002", and this value is between the limits of the 95% confidence interval obtained. So, according to the random sample under study, it seems that this mean age has not changed.

7 0

3 years ago

If a town with a population of 10,000 doubles in size every 17 years. What will the population be 68 years from now?

dusya [7]

Let us set up the equation:

$total population = 10000*(2)^{68/17}=10000*(2^4)=160000$ people

10000 is the initial population
2 is the rate at which the population grows
68/17 is the number of periods that the population grows

Hope that helps!

7 0

2 years ago