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Semmy [17]
3 years ago
15

information about two homes in a city is given below. Home A has a value of $110,000, which is expected to increase exponentiall

y by 4% each year. Home B has a value of $100,000, which is expected to increase exponentially by 6% each year. Which equation can be used to determine t, the number of years in which the expected value of home B would be twice the expected value of home A? A 110,000(1.04)t=2(100,000)(1.06)t B 100,000(1.06)t=2(110,000)(1.04)t C 110,000(0.04)t=2(100,000)(0.06)t D 100,000(0.06)t=2(110,000)(0.04)t
Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

100000(1.04)^t=2[110000(1.04)^t

Step-by-step explanation:

B=2A

100000(1.04)^t=2[110000(1.04)^t

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There are 12 jurors sitting in a circle
STALIN [3.7K]
I believe you are asking in how many ways they can sit. If so:
The 1st can sit anywhere: he has only 1 way to sit
The 2nd can sit in 11 ways, since one seat is already occupied
The 3rd can sit in 10 ways, since 2 seat are already occupied
The 4th can sit in 9 ways, since 3 seat are already occupied
The 5th can sit in 8 ways, since 4 seat are already occupied
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The 12th can sit in 1 way, since11 seat are already occupied
General formula for a circular table:

Number of ways they n persons can be seated: (n-1)!
and the 12 can be seated in (12-1)! = 11! = 39,916,800 ways.
This is called circular permutation
3 0
3 years ago
Please help 100 points ​
muminat

Answer:

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Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Hypothesis Testing for Means with Small Samples
Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

t_{n-1;\alpha /2}= t_{23;0.025}= -2.069

t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069

The decision rule is:

If t_{H_0} ≤ -2.069 or if t_{H_0} ≥ 2.069, then you reject the null hypothesis.

If -2.069 < t_{H_0} < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0
3 years ago
On the number line below the Numbers eight and B are the same distance from zero what is a plus B explain how you know?
Igoryamba
A = 1
b = -1

a + b = 
1 + (-1) =
1 - 1 =
0....so a + b = 0

additive inverse property states that every real number added to its additive inverse (or opposite) will equal zero.


3 0
3 years ago
What is the area of the composite figure?
german

Answer:

16 + 6pi cm

Step-by-step explanation:

We have a square of length 4 cm

A = s^2 = 4^2 = 16

We have 3 semi circles

with radius 2

A semi circle has an area of

1/2 pi r^2 = 1/2 pi (2)^2 = 1/2 (4pi) = 2pi

There are 3 of them

3 * 2 pi = 6pi

Add the areas together for the square and the semicircles

16 + 6pi

6 0
3 years ago
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