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OleMash [197]
3 years ago
13

Find the next two numbers in a pattern? 7, - 28,112, - 448 __, __, . . .

Mathematics
1 answer:
Igoryamba3 years ago
4 0

Answer:

1,792    -7168

the pattern is to multiply by -4

Step-by-step explanation:

7 · -4 = -28

-28 · -4 = 112

112 · -4 = -448

-448 · -4 = 1,792

1,792 · -4 = -7168

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What is -6 divided by 3/7x
Sphinxa [80]

Step-by-step explanation:

- 6  \div   \frac{3}{7x}  \\  \\  =  - 6 \times  \frac{7x}{3}  \\  \\  =  - 2 \times 7x \\  \\  =  - 14x

8 0
3 years ago
2 Sequoya has- of a liter of apple juice which fills of her glass. How many glasses will 1 liter of apple juice fill? 3 4/6 4/3
Softa [21]

We have

1/2 liter apple juice ---- 1/3 of her glass

1-liter apple juice --- x

x is the number of glass filled with 1 liter

x=\frac{\frac{1}{3}}{\frac{1}{2}}=\frac{2}{3}

we can obtain equivalent fractions like

\frac{2}{3}=\frac{4}{6}

the answers are 2/3 and 4/6

6 0
1 year ago
The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure
Ilia_Sergeevich [38]

Answer:

a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Step-by-step explanation:

For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution 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.

a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?

The foreclosure rate is 1.31% for the Washington, DC area, which means that p = 0.0131

We wanto to find, with n = 100:

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_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675

P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551

P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226

0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?

Foreclosure rate of 0.87% for the nation, which means that p = 0.0087. So

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

P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174

P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663

P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837

0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c. Comment on the above findings.

The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

7 0
3 years ago
I need help please on this question. What is the large sector?
Marta_Voda [28]

Answer:

the right answer is 25 thats all u need to type in keep up the good work

Step-by-step explanation:

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3 years ago
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How many locations are there? 

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