All categories

3 years ago

Solve each of the following equations. Show its solution set on a number line. Check your

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

7 0

Answer:

3/5

Step-by-step explanation:

It should look like this...

x=3/5

(5*(3/5))=3

5*3 = 15

15/5=3

You might be interested in

To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then s

inysia [295]

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

5 0

3 years ago

Find the variance of this probability distribution. Round to two decimal places.

attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

$\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\$

Where:

$X: Values \\\mu: Mean \\N: Number\ of\ values$

The mean can be calculated as each value multiplied by its probability

$\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15$

$\frac{\Sigma (X)^{2}}{N} =\frac{(0^{2}+1^{2}+2^{2}+3^{2}+4^{2})}{5} =6$

Replacing the mean and the summatory of X:

$\sigma^{2} = \frac{\Sigma(X)^{2}}{N} -\mu^{2} \\= 6 - 1.15^{2}\\= 4.6775$

4 0

4 years ago

Hi can someone pls pls plsssss help me with this sum

Dafna1 [17]

do 12.5/5 then you will get ur answer

6 0

3 years ago

How many solutions does the following equation have? 4(y-30)=4y+124(y−30)=4y+12

dedylja [7]

Answer:

A. No solution

Step-by-step explanation:

Choose 1 answer:

A. No solutions

B. Exactly one solution

C. Infinitely many solutions

Solution

Given:

4(y-30)=4y+12

Open parenthesis

4y-120=4y+12

Collect like terms

4y-4y=12+120

0=142

There is no solution to the equation, therefore, the answer is A

4 0

3 years ago

In a survey of 248 people, 156 are married, 70 are self-employed, and 25 percent of those who are married are self-employed. If

MatroZZZ [7]

Answer:

The probability of selecting a person which is self-employed but not married equals 1/8.

Step-by-step explanation:

Here, the given survey says:

Total number of people surveyed = 248

Number of people married = 156

The number of people are self employed = 70

Now, 25% of people who are married are SELF EMPLOYED.

Now, calculating 25% of 156 , we get:

$\frac{25}{100} \times 156 = 39$

⇒ out of total 156 married people, 39 are self employed.

So, number of self employed people but not married

= Self employed people - Self employed people PLUS married

= 70 - 39 = 31.

So, the probability that the person selected will be self-employed but not married = $\frac{\textrm{The total number of people self-employed but not married}}{\textrm{Total Number of people}}$ = $\frac{31}{248} = \frac{1}{8}$

Hence The probability of selecting a person which is self-employed but not married equals 1/8.

7 0

3 years ago