A right rectangular prism is 5 3/4 cm wide, 10 1/2 cm long, and 8 cm tall. What is the volume of the prism?

Write a problem that can be solved using a line plot. Solve the problem

MissTica

A mathematical statement that uses an equal sign to say that two things are the same

8 0

3 years ago

Suppose a certain computer virus can enter a system through an email or through a webpage. There is a 40% chance of receiving th

DedPeter [7]

Answer:

P = 0.42

Step-by-step explanation:

This probability problem can be solved by building a Venn like diagram for each probability.

I say that we have two sets:

-Set A, that is the probability of receiving this virus through the email.

-Set B, that is the probability of receiving it through the webpage.

The most important information in these kind of problems is the intersection. That is, that he virus enters the system simultaneously by both email and webpage with a probability of 0.17. It means that $A \cap B$ = 0.17.

By email only

The problem states that there is a 40 chance of receiving it through the email. It means that we have the following equation:

$A + (A \cap B) = 0.40$

$A + 0.17 = 0.40$

$A = 0.23$

where A is the probability that the system receives the virus just through the email.

The problem states that there is a 40% chance of receiving it through the email. 23% just through email and 17% by both the email and the webpage.

By webpage only

There is a 35% chance of receiving it through the webpage. With this information, we have the following equation:

$B + (A \cap B) = 0.35$

$B + 0.17 = 0.35$

$B = 0.18$

where B is the probability that the system receives the virus just through the webpage.

The problem states that there is a 35% chance of receiving it through the webpage. 18% just through the webpage and 17% by both the email and the webpage.

What is the probability that the virus does not enter the system at all?

So, we have the following probabilities.

- The virus does not enter the system: P

- The virus enters the system just by email: 23% = 0.23

- The virus enters the system just by webpage: 18% = 0.18

- The virus enters the system both by email and by the webpage: 17% = 0.17.

The sum of the probabilities is 100% = 1. So:

P + 0.23 + 0.18 + 0.17 = 1

P = 1 - 0.58

P = 0.42

There is a probability of 42% that the virus does not enter the system at all.

5 0

3 years ago

4 more than one third of a number n is 6. An equation is? The solution is n =?

harkovskaia [24]

Answer:

$\frac{1}{3}$ n + 4 = 6

6

Step-by-step explanation:

Given problem:

4 more than one third of a number n is 6

Unknown:

The equation = ?

Solution of the number = ?

Solution:

let the number = n

So, 4 more than one third of a number;

One third of n = $\frac{1}{3}$ n

4 more;

$\frac{1}{3}$ n + 4

is 6;

$\frac{1}{3}$ n + 4 = 6 (equation of the expression)

Let us now solve the equation:

$\frac{1}{3}$ n + 4 = 6

$\frac{1}{3}$ n = 6 - 4

$\frac{1}{3}$ n = 2

n = 6

5 0

3 years ago

Jonas weight 63 pounds. jane weight 67 pounds. round each number to the nearest ten.

IrinaVladis [17]

Answer:

Jonas = 60 pounds

Jane = 70 pounds

Remember- 5 or more, raise the score. 4 or less, let it rest.

Jonas is 63 pounds. 3 is less than 4, so rounded to the nearest ten would be 60 pounds.

Meanwhile, Jane is 67 pounds. 7 is more than 5, so we will raise the score.

So, 67 rounded to the nearest ten would be 70.

You have your answers. 60 and 70. Hope this helps!

4 0

3 years ago

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Jane is studying the weather in Alaska. she recorded the temperature for four days in January, in degrees Fahrenheit, as shown i

babunello [35]

Answer:

a and c

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers