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nadya68 [22]
2 years ago
7

Evaluate the limit, if it exists. Show work. lim→5 2−3−10 / 2−10

Mathematics
1 answer:
hram777 [196]2 years ago
4 0

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form: 13/3

Decimal Form:  4.3

Mixed Number Form:4  1/3

Step-by-step explanation:

Hope this helps ;)

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Mana is saving to buy a new bicycle. The equation d = 12w represents the amount in dollars, d, that Mana saves in w weeks.What i
Alchen [17]

Answer:

Constant of proportionality is 12

The cost of buying new bicycle changes  12 dollar per week

Step-by-step explanation:

we are given

The equation as

d=12w

where

d represents the amount in dollars

w is number of weeks

now, we can compare it with

y=kx

where

k is constant of proportionality

we can compare

and we get

k=12

So,

Constant of proportionality is 12

we can see that

12=\frac{d}{w}

So,

The cost of buying new bicycle changes  12 dollar per week

6 0
3 years ago
0 ÷ 0 = 1
TEA [102]

Answer:

0/0 = undefined not 1

Step-by-step explanation: Undefined means there are no solutions possible for the operations in view. The example in question is itself wrong. n/0 is infinite but not undefined. 0/0 is undefined

7 0
2 years 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
2 years ago
12(13−14)−15=16+x+4 What is the value of x?
svlad2 [7]
First, distribute the 12
156-168-15=16+4+x
-27=20+x
-47=x
8 0
2 years ago
Construct a 95% confidence interval for a population proportion using repeated tests of significance to develop an interval of p
Sunny_sXe [5.5K]

Answer:

bzissssossisbs x9s s siss s sبسیسجسبسئسطسب،یز unsbsjsus

Step-by-step explanation:

bzbzjznzbsisbsbs

8 0
2 years ago
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