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3 years ago

A single die is rolled one time. Find the probability of rolling a number greater than 2 or less than 5.

Mathematics

1 answer:

Ainat [17]3 years ago

6 0

Answer the correct option is D

Step-by-step explanation:

The die has six sides. The numbers on each side are 1, 2, 3. 4, 5 and 6. This means that the total number of possible outcomes is 6

The numbers greater than 2 are 3, 4, 5 and 6. It means that there are four numbers out of 6 that are greater than 2. So the probability of rolling a number greater than 2 is 4/6 = 2/3.

Again, the numbers lesser than 5 are 1,2,3 and 4 . there are 4 numbers. So the probability of rolling a number lesser than 5 is 4/6 = 2/3

But both probabilities are mutually non exclusive. It means that 3 and 4 is common. The probability of rolling a 3 and a 4 = 1/6 + 1/6 = 2/6 = 1/3.

Therefore, the probability of rolling a number greater than 2 or less than 5 would be 2/3 + 2/3 - 1/3 = 3/3 = 1

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Line CD passes through points C(3, -5) And D(6, 0). What is the equation of line CD in standard form?

Fynjy0 [20]

Y = mx + b
m = (0 - -5)/(6 - 3) = 5/3
y = 5/3x + b
0 = 5/3(6) + b
b = -10
(y = 5/3x - 10)3
3y = 5x - 30
3y - 5x = -30
5x - 3y = 30

8 0

3 years ago

Read 2 more answers

Priscilla can make 4 bracelets in 12 minutes. At this rate, how many bracelets can she make in 48 minutes?

patriot [66]

Answer:

A. 16

Step-by-step explanation:

We can use a ratio to solve

4 bracelets x bracelets

----------------- = -------------

12 minutes 48 minutes

Using cross products

4 * 48 = 12x

192 = 12x

Divide by 12 on each side

192/12 =12x/12

16 =x

3 0

3 years ago

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home. Give the value of th

astra-53 [7]

Answer:

The value of the standard error for the point estimate is of 0.0392.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.

This means that $n = 100, p = \frac{81}{100} = 0.81$

Give the value of the standard error for the point estimate.

This is s. So

$s = \sqrt{\frac{0.81*0.19}{100}} = 0.0392$

The value of the standard error for the point estimate is of 0.0392.

7 0

3 years ago

How does the DMV point system work?

Elodia [21]

Answer:

A. It keeps track of a driver's offenses so that they can suspend his license if they need to

Step-by-step explanation:

The DMV keeps a record of a person's driving history. This records any accidents or another traffic offenses like red light violations or speed violations etc.

Each traffic violation is assigned a point on a person's driver record. Hence, it is used to keep track of a driver's offenses so that they can suspend his license if they need to.

4 0

3 years ago

Evaluate the expression<br> 3 4 5 x − 2 1 2 for x = − 10 .

Rina8888 [55]

Answer:

3,662

Step-by-step explanation:

It says that x= -10 so you have to multiply 345 by -10 because x is next to the number 345. Then you get the number -3450-212 from there you can see they are both negative so you can add them together and take out the negative symbol at the end. Hope that helped!

7 0

3 years ago