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3 years ago

A number b is greater than or equal to 4 and at most 13

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

b is greater than or equal to 4: 4 ≤ b

and at most 13 : b ≤ 13

4 ≤ b ≤ 13

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The Garcia family is driving from San Diego, California, to Bar Harbor, Maine. In 5 days, they have traveled 2,045 miles. At thi

zysi [14]

Answer: 8

Step-by-step explanation: Well you first do 2045 divided by 5 which is 409 and then you have to do 3272 divided by 409 and you would get 8. I hope this helps!

5 0

3 years ago

When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, the

arsen [322]

Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben = B

let the hourly rate of pay for Judy = J

Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;

4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

2J + 6B = 120 --- ii

Now, we should solve the expression;

Multiply equation ii by 2 and equation i by 1;

4J + B = 75 ----- i x 1 ; 4J + B = 75 -- iii

2J + 6B = 120 --- ii x 2 ; 4J + 12B = 240 ---iv

Now,

equation iv - iii;

11B = 165

B = $15

So, solving for J;

4J + B = 75

4J + 15 = 75

4J = 75 - 15 = 60

J = $15

3 0

3 years ago

5 x + 5 = -5 <br>what is x?

romanna [79]

Answer:

x=-2

Step-by-step explanation:

6 0

3 years ago

What is 69/8 as mixed number?

Dafna1 [17]

There you go
..............

5 0

3 years ago

The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop

Anettt [7]

Answer:

a. $\frac{1}{15}$

b. $\frac{2}{5}$

c. $\frac{14}{15}$

d. $\frac{8}{15}$

Step-by-step explanation:

Given that there are two laptop machines and four desktop machines.

On a day, 2 computers to be set up.

To find:

a. probability that both selected setups are for laptop computers?

b. probability that both selected setups are desktop machines?

c. probability that at least one selected setup is for a desktop computer?

d. probability that at least one computer of each type is chosen for setup?

Solution:

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

a. Favorable cases for Both the laptops to be selected = $_2C_2$ = 1

Total number of cases = 15

Required probability is $\frac{1}{15}$ .

b. Favorable cases for both the desktop machines selected = $_4C_2=6$

Total number of cases = 15

Required probability is $\frac{6}{15} = \frac{2}{5}$ .

c. At least one desktop:

Two cases:

1. 1 desktop and 1 laptop:

Favorable cases = $_2C_1\times _4C_1 = 8$

2. Both desktop:

Favorable cases = $_4C_2=6$

Total number of favorable cases = 8 + 6 = 14

Required probability is $\frac{14}{15}$ .

d. 1 desktop and 1 laptop:

Favorable cases = $_2C_1\times _4C_1 = 8$

Total number of cases = 15

Required probability is $\frac{8}{15}$ .

8 0

3 years ago