I need some help please

Rajiv is building a bookcase a shelf on the bookcase can hold up to 95 pounds of books write an inequality to represent the situ

mihalych1998 [28]

The first thing we must do in this type of problem is first to name the variables that we are going to use to write the inequality.
We have then:
b = the weight of books on the shelf.
The inequality is:
b <= 95
answer:
An inequality to represent the situation is
b <= 95

5 0

3 years ago

All of the following are true statements except _____. |93| = 93 −|93| = −93 |−93| = 93 |−93| = −93

castortr0y [4]

Answer: Hi!

Alll of the follow are true except option 4, which states the absolute value of -93 is -93. This is not true! Absolute value will always be positive.

Hope this helps!

7 0

4 years ago

Read 2 more answers

the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,

kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

One in ten students are named Joe, hence $p = \frac{1}{10} = 0.1$ .

There are 15 students in the class, hence $n = 15$ .

The probability that at least one of them is named Joe is:

$P(X \geq 1) = 1 - P(X = 0)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059$

Then:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941$

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0

3 years ago

Use unit multipliers to convert 123 pounds per mile to ounces per centimeter. There are 5,280 feet in 1 mile. There are 16 ounce

gregori [183]

A unit multiplier is a conversion factor of value 1 that we can use to convert quantities.
We want to convert 123 pounds per mile to ounces per centimeter.
First, we are going to express the quantity to convert as a fraction:
123 pounds per mile= $123 \frac{pounds}{mile}$

Next, we are going to find our multipliers:
- We know for our problem that there are 5,280 feet in 1 mile, so our first multiplier will be: $\frac{1mile}{5280ft}$
- We also know that there are 16 ounces in 1 pound, so our second multiplier will be: $\frac{16ounces}{1pound}$
- We know that there are 12 inches in 1 foot, so our third multiplier will be: $\frac{1ft}{12in}$
- We know that t<span>here are approximately 2.54 cm in 1 inch, so our fourth multiplier will be: </span> $\frac{1in}{2.54cm}$

Now we can put all our multipliers together:
$123 \frac{pounds}{mile} * \frac{1mile}{5280ft}*\frac{16ounces}{1pound}* \frac{1ft}{12in}*\frac{1in}{2.54cm}=0.01 \frac{ounces}{cm}$

We can conclude that the answer is 0.01

3 0

4 years ago

North Carolina sales tax is 7%. If you bought a video game and paid $2.38 in tax, how much was the video

Rus_ich [418]

2.38. 7%
X. 100%
X=2.38 • 100/7
X= 34$
Video game costs 34$

5 0

3 years ago