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adelina 88 [10]

4 years ago

11

Is the relation a function? If so why or why not? {(-3,2),(-1,0),(1,0),(5,-2)}

1 answer:

Anastasy [175]4 years ago

8 0

Answer:

It's a function

Step-by-step explanation:

Functions can only have one output for each input. And since all the x values for each point are different, there is only one output (y-value) for each input(x-value).

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All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .75,

astra-53 [7]

Answer:

5% probability neither truck is available

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that the first truck is available.

B is the probability that the second truck is available.

We have that:

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

In which a is the probability that the first truck is available and the second one is not $A \cap B$ is the probability that both trucks are available.

By the same logic, we have that:

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

The probability that both trucks are available is .30.

This means that $A \cap B = 0.3$

The probability the second truck is available is .50

This means that $B = 0.5$ . So

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

$0.5 = b + 0.3$

$b = 0.2$

The probability the first truck is available is .75

This means that $A = 0.75$ . So

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

$0.75 = a + 0.3$

$a = 0.45$

The probability that at least one truck is available is:

$A \cup B = a + b + (A \cap B) = 0.45 + 0.2 + 0.3 = 0.95$

The probability that neither truck is available is:

$1 - (A \cup B) = 1 - 0.95 = 0.05$

5% probability neither truck is available

6 0

3 years ago

What is the surface area of the triangular prism?

trasher [3.6K]

The surface area of the triangular prism is: B. 72 sq. ft

<h3>Surface Area of a Triangular Prism</h3>

The surface area of a triangular prism is given by the formula: SA = bh + (s1+s2+s3)H

Where, b is the base, h is the height, and s1+s2+s3 is the perimeter of the triangular base, H is the length of the prism.

Thus, given the triangular prism as shown in the diagram attached below, we have the following:

b = 4 ft

h = 3 ft

H = 5 ft

s1 + s2 + s3 = 3 + 4 + 5 = 12 ft

Plug in the values

Surface area = 4×3 + (12)5 = 12 + 60 = 72

Therefore, the surface area of the triangular prism is: B. 72 sq. ft

Learn more about the surface area of triangular prism on:

brainly.com/question/16147227

7 0

3 years ago

Read 2 more answers

Jake studied x hours for a big test. Julie studied half as long. Write an algebraic expression for long julie studied.

kipiarov [429]

X/2 is howling Julie studied

6 0

4 years ago

What is the value of c in the equation below? 2^-4(2^2)=a^b=c

Triss [41]

Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

${a}^{ - n} = \frac{1}{ {a}^{n} }$

So for this question :

${2}^{ - 4} \times {2}^{2}$

$= {2}^{ - 4 + 2}$

$= {2}^{ - 2}$

${a}^{b} = c \\ c = {2}^{ - 2}$

$c = \frac{1}{ {2}^{2} }$

$c = \frac{1}{4}$

5 0

3 years ago

What did I do wrong. I thought it was 15

CaHeK987 [17]

Its not 15 isnt it 10

3 0

4 years ago

Read 2 more answers