Jeremy put pepperoni on half of a pizza. He put olives on 1/3 of the pizza. What fraction of the pizza did not have pepperoni?

Suppose there is a 20% chance of rain on Monday and a 40% chance of rain on Tuesday. Assuming the weather on successive days is

nadya68 [22]

Answer:

a. 52%

b. 40%

Step-by-step explanation:

Let A represents the event of raining on Monday and B represents the event of raining in Tuesday,

Then according to the question,

P(A) = 20% = 0.2,

P(B) = 40% = 0.4,

Here, A and B are independent events,

So, P(A∩B) = P(A) × P(B),

⇒ P(A∩B) = 0.2 × 0.4 = 0.08

We know that,

P(A∪B) = P(A) + P(B) - P(A∩B)

a. The probability it rains on Monday or Tuesday, P(A∪B) = 0.2 + 0.4 - 0.08

= 0.52

= 52%

b. The conditional probability it rains on Tuesday given that it rained on Monday,

$P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)} = \frac{0.08}{0.2}=0.4 = 40\%$

4 0

1 year ago

6 Using data from 1988 for houses sold in Andover, Massachusetts, from Kiel and McClain (1995),

Nimfa-mama [501]

The study of explanatory or independent differences based on the dependent variable is a simple statistical method. The correlation between two variables is researched in which only the explanatory variable of them would be present, and the further discussion can be defined as follows:

For point (i):

The log(distances) seem to be optimistic, and their valuation is 0.312, which also means that the cost of a house will rise even as the distance increases.
In this, the certainly is what everybody expects the better the house from the sewage treatment is from a hygienic viewpoint.

For point (ii):

In this regard, we cannot use straightforward regression, even as non-biased price estimation might not even be provided.
The price-distance relationship here is not so much linear.

For point (iii):

Several factors influence the house's price, the biggest contributor is house length, market nearness or public areas, number of rooms, etc.
Thus the only influence is not the mere distance from the incinerator. It's one of the factors affecting housing pricing.
The proximity of markets and places can be connected to the distance from the crematorium.
However, factors such as house size and the number of stories aren't related to the distance from the incineration plant.

Learn more:

brainly.com/question/19729277

5 0

1 year ago

R=2s-6t+5 / 2 , solve for s

cestrela7 [59]

S = R + 3t - 5/2

multiply the r by the 2 and transfer -6t and 5 over to the left side which makes them +6t and -5, then divide the whole left side by 2 which gives you s

5 0

1 year ago

In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in

Alona [7]

Answer:

31 minutes

Step-by-step explanation:

Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds

1st runner time = 4 minutes 37 seconds

2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds

3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds

4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds

5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second

6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds

7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds

8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds

The total time is the addition of all the times

For clarity sake, we shall be adding all the minutes together and all the seconds together;

That will be ;

(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)

= 27 minutes + 224 seconds

We need to convert 224 seconds to minutes

Since 60 seconds make one minute; we have

224 - 60(3) = 3 minutes and 44 seconds

Let’s add this to the minutes we had before

That would be;

27 minutes + 3 minutes + 44 seconds

= 30 minutes 44 seconds

since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute

So the total time is 30 minutes + 1 minute = 31 minutes

8 0

2 years ago

Ranger wants to verify that the expression 8x – 20 is the correct simplified expression for 4(2x – 5). Explain how to verify the

Aleks [24]

Answer:

Step-by-step explanation:

To verify, a number needs to be substituted for x in both expressions. Use order of operations to simplify and find the value. The value needs to be the same for both expressions to prove

3 0

2 years ago

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