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3 years ago

You roll a six-sided number cube. Which events are mutually exclusive?

2 answers:

7 0

<span>mutually exclusive is the events which couldn't happen at the same time, so I suggest you to go with this: </span>C) rolling an even number and an odd number

azamat3 years ago

6 0

Answer: C) rolling an even number and an odd number

Step-by-step explanation:

For any event A and B , we say they are mutually exclusive if they are disjoint such that there have no elements in common.

Let's check all the options:

A) rolling a multiple of 2 and a multiple of 4

Multiple of 2 on dice = 2,4,6

Multiple of 4 on dice = 4

They are not disjoint since 4 is the common element.

B) rolling a multiple of 3 and a multiple of 6

Multiple of 3 on dice = 3,6

Multiple of 6 on dice = 6

They are not disjoint since 6 is the common element.

C) rolling an even number and an odd number

Even number on dice = 2,4,6

Odd number on dice = 1,3,5

∴ They are disjoint event as they have no common element.

D) rolling a prime number and an even number.

Prime number on dice = 2,3,5

They are not disjoint since 2 is the common element.

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how many cubic blocks of side length 1/6 inch would take to fill a rectangular prism with a length, width, and height of 1/3 inc

borishaifa [10]

Volume of one cubic block = (1/6)^3 = 1/216 cu ins

Volume of the prism = 1/3 * 2/3 * 2/3 = 4/27 cu ins

Number of blocks to fill prism = 4/27 / 1/216 = (216*4) / 27 = 32

3 0

3 years ago

Read 2 more answers

Florence spends $2,000 to purchase shares of a mutual fund with an NAV of $16. How many shares does Florence obtain?

Debora [2.8K]

Answer:

125

Step-by-step explanation:

Division

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3 years ago

Two expressions are shown below:

Sveta_85 [38]

Answer:

They are not equal

Step-by-step explanation:

So, lets start by simplifying the expressions

Expression 1:

4s + 2

Expression 2:

s x s x s x s + h x h

s^4 + h^2

We have two different expressions now, they don't seem to be equivalent, since in the first one, we have 4 x s + 2, but in the second one, it is s x s 2 times added with h x h.

If you have any questions, let me know in the comments. If you could mark this answer as the brainliest, I would very much appreciate it! :D

3 0

3 years ago

In the Fuel Economy Guide for 2018 model vehicles, the Environmental Protection Agency gives data on 1160 vehicles. There are a

Natasha2012 [34]

Answer:

a) The probability is the p-value of $Z = \frac{X - 22.6}{5.2}$ , in which X is the gas mileage of the 2020 Honda Civic.

b) Your dad's truck is 1.65 standard deviations below the mean.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normal with mean 22.6 miles per gallon (mpg) and standard deviation 5.2 mpg.

This means that $\mu = 22.6, \sigma = 5.2$

a. What proportion of vehicles have worse gas mileage than the 2020 Honda Civic?

This is the p-value of Z, given by:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{X - 22.6}{5.2}$

In which X is the gas mileage of the 2020 Honda Civic.

b. My dad has a truck that gets around 14 mpg. How many standard deviations from the mean is my dad's truck?

This is Z when X = 14. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{14 - 22.6}{5.2}$

$Z = -1.65$

Your dad's truck is 1.65 standard deviations below the mean.

4 0

3 years ago

Is (-5)^n can be the opposite of 5^n

TEA [102]

Yes ecause the oppisite of a negative is a positive and if not that no

5 0

4 years ago