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aksik [14]
1 year ago
5

For every 1/150 square mile Xavier mows, Bao mows 1/120 square mile. How many square miles does Xavier mow for every 1 square mi

le Bao Mows?
A. 3/4
B. 4/5
C. 5/4
D. 15/12
Mathematics
1 answer:
AlexFokin [52]1 year ago
8 0
I am assuming that it is C. 5/4
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It is claimed that 55% of marriages in the state of California end in divorce within the first 15 years. A large study was start
kykrilka [37]

Answer:

0.0045 = 0.45% probability that less than two of them ended in a divorce

Step-by-step explanation:

For each marriage, there are only two possible outcomes. Either it ended in divorce, or it did not. The probability of a marriage ending in divorce is independent of any other marriage. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

55% of marriages in the state of California end in divorce within the first 15 years.

This means that p = 0.55

Suppose 10 marriages are randomly selected.

This means that n = 10

What is the probability that less than two of them ended in a divorce?

This is

P(X < 2) = P(X = 0) + P(X = 1)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.55)^{0}.(0.45)^{10} = 0.0003

P(X = 1) = C_{10,1}.(0.55)^{1}.(0.45)^{9} = 0.0042

P(X < 2) = P(X = 0) + P(X = 1) = 0.0003 + 0.0042 = 0.0045

0.0045 = 0.45% probability that less than two of them ended in a divorce

8 0
1 year ago
5. In a big, red box, there are 7 smaller blue boxes. In each of
Alex787 [66]

Answer:

2801 boxes

Step-by-step explanation:

You have 1 red box

You have 7 blue boxes, so far 8 boxes

There are 49 total black boxes (7*7), making 57 total boxes

There are 49*7 = 343 yellow boxes, making 400 boxes

There are 343*7 = 2401 gold boxes, making for a total of 2801 boxes.

7 0
1 year ago
Read 2 more answers
Which explains why Ramone’s equation has no solution?
kvv77 [185]

The matrices must be the same size

Good luck

8 0
2 years ago
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Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of ________
lora16 [44]

Answer:  To find the average rate of change, evaluate the function at the given points.

Evaluate the difference of the function at the given points.

Divide the difference of the function at the given points with the difference of the given points.

Step-by-step explanation:

The Average of rate is -1.

Everytime it goes up by one the y goes down by 1 so it would be -1.

8 0
1 year ago
Sydney earns a yearly salary of $32,000. Sydney's salary is equal to 40% of her boss' yearly salary. What is the yearly salary o
Oliga [24]

Answer: $80,000

Step-by-step explanation:

40%___$32,000

100%___X=$80,000

(100*32,000)/40 = 80,000

6 0
2 years ago
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