Simplify 3ab + 4ab + 5

Find the distance between the points (2,0) and (-4,6)

N76 [4]

Answer:

You have to move 6 times to the left and 6 times down.

Step-by-step explanation:

If you're at (2,0), you move 2 times to the left, and then you're at (0,0).

Next move 4 times to the left. Now you're at (-4,0).

Now, move 6 times down, and now, you're at (-4,-6).

7 0

2 years ago

Read 2 more answers

To bake his favorite cake, Farrell must use 1/2 cup of water for each cup of flour. If he uses 3 1/2 cups of flour, how much wat

EastWind [94]

Answer:

The answer is 7

Step-by-step explanation:

3 1/2 ÷ 1/2 = 7

7 0

2 years ago

Tara is the editor of the school newspaper. She tries to devote about 1/2 of the paper to news, 1/3 to pictures, and the remaind

Klio2033 [76]

5/6 of the paper is devoted to news and pictures

first I made the fraction have equal denominators which was 6 by doing that I multiplyed the numerator and the denominator

1/2
1×3=3
2×3=6
therefore 1/2 being equivalent to 3/6

1/3
1×2=2
3×2=6
therefore 1/3 being equivalent to 2/6

now you would be able to add the numerators, so 2+3=5
therefore being 5/6 of the paper is devoted to news and pictures

4 0

2 years ago

Let A and B be events with =PA0.7, =PB0.3, and =PA or B0.9. (a) Compute PA and B. (b) Are A and B mutually exclusive? Explain. (

kvasek [131]

Answer:

a) $P(A \cup B) = P(A) +P(B) - P(A\cap B)$

And if we solve for $P(A \cap B)$ we got:

$P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1$

b) False

The reason is because we don't satisfy the following relationship:

$P(A\cup B) = P(A) + P(B)$

We have that:

$0.9 \neq 0.3+0.7 =1$

c) False

In order to satisfy independence we need to have the following condition:

$P(A \cap B) = P(A) *P(B)$

And for this case we don't satisfy this relation since:

$0.1 \neq 0.7*0.3 = 0.21$

Step-by-step explanation:

For this case we have the following probabilities given:

$P(A) = 0.7, P(B) =0.7, P(A \cup B) =0.9$

Part a

We want to calculate the following probability: $P(A \cap B)$

And we can use the total probability rule given by:

$P(A \cup B) = P(A) +P(B) - P(A\cap B)$

And if we solve for $P(A \cap B)$ we got:

$P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1$

Part b

False

The reason is because we don't satisfy the following relationship:

$P(A\cup B) = P(A) + P(B)$

We have that:

$0.9 \neq 0.3+0.7 =1$

Part c

False

In order to satisfy independence we need to have the following condition:

$P(A \cap B) = P(A) *P(B)$

And for this case we don't satisfy this relation since:

$0.1 \neq 0.7*0.3 = 0.21$

4 0

3 years ago

76.8 of what is 40.32

bearhunter [10]

Hey there

Lets solve this question together,

Convert 76.8% to a decimal.

0.768 * x=40.32

Multiply 0.768 by x to get 0.768x.

0.768x=40.32

Multiply each term by 1 / 0.768 and simplify.

Cancel the common factor of 0.768.

x=40.32 / 0.768

Divide 40.32 by 0.768 to get 52.5

x=52.5

6 0

2 years ago