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3 years ago

A pizza slice is cut into 8 equal slices.

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

8 0

Answer:

a. 1/8

b. 1/4

c. She ate 2 out of the 8 pieces if you divide both by 2 you get 1 and 4 to make it the fraction 1/4

Step-by-step explanation:

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Hong purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Hong paid.

klio [65]

Answer:

5n=c

Step-by-step explanation:

the equation 5n=c can represent the total cost Hong would have paid for the notebooks because given that each notebook costs $5, you would multiply 5 by the number of notebooks (n) that Hong would be purchasing, which would bring you to the cost (c) of the notebooks all together

sorry for the delay. hope this helps

4 0

2 years ago

What is the value of x?

ddd [48]

Answer:

Step-by-step explanation:

3x+x has to add up to 180

3x+x=180

4x/4=180/4

x=45

6 0

3 years ago

Read 2 more answers

9. Explain how to identify the opposite and adjacent legs of a given acute angle.

Luba_88 [7]

Answer:

Step-by-step explanation:

In an acute angle, the side facing an angle is always termed Opposite

whereas the other side usually not the longest though is the Adjacent. take for example both sides have an angle, the value of the angle you want to use, the side directly facing it is called Opposite, whereas the other side usually not the longest though is the Adjacent

7 0

3 years ago

According to a survey, 60 % of the residents of a city oppose a downtown casino. Of these 60 % about 8 out of 10 strongly opp

katrin [286]

Answer:

(a) 0.48

(b) 0.20

(c) it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

Step-by-step explanation:

(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino.

The probability that a radomly selected resident opposes the casino and strongly opposes the cassino is the product of the two probabilities, that a resident opposes the casino and that it strongly opposes the casino (once it is in the first group) as it is shown below.

Use this notation:

Probability that a radomly selected resident opposes the casino: P(A)

Probability that a resident who opposes the casino strongly opposes it: P(B/A), because it is the probability of event B given the event A

i) Determine the probability that a radomly selected resident opposes the casino, P(A)

Probability = number of favorable outcomes / number of possible outcomes

P(A) is given as 60%, which in decimal form is 0.60

ii) Next, determine,the probability that a resident who opposes the casino strongly opposes it, P(B/A):

It is given as 8 out of 10 ⇒ P(B/A) = 8/10

iii) You want the probability of both events, which is the joint probability or intersection: P(A∩B).

So, you can use the definition of conditional probability:

P(B/A) = P(A∩B) / P(A)

iv) From which you can solve for P(A∩B)

P(A∩B) = P(B/A)×P(A) = (8/10)×(0.60) = 0.48

(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.

In this case, you just want the complement of the probability that a radomly selected resident who opposes the casino does strongly oppose the casino, which is 1 - P(B/A) = 1 - 8/10 = 1 - 0.8 = 0.2.

(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino?

You are being asked about the joint probability (PA∩B), which you found in the part (a) and it is 0.48.

That is almost 0.50 or half of the population, so you conclude it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

8 0

3 years ago

Isabel’s car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas how many miles can Isabel drive on a full tank o

bagirrra123 [75]

Isabel can drive 505.85 miles with a gas tank that holds 15.1 gallons of gas

Solution:

Given that, Isabel’s car gets 33.5 miles per gallon

Her gas tank holds 15.1 gallons of gas

To find: Number of miles can Isabel drive on a full tank of gas

Let "x" be the miles drive with 15.1 gallons of gas

From given,

1 gallon = 33.5 miles

15.1 gallon = x miles

This forms a proportion and we can solve the sum by cross multiplying

$1 \times x = 15.1 \times 33.5\\\\x = 505.85$

Thus Isabel can drive 505.85 miles on a full tank of gas

6 0

4 years ago