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kotegsom [21]
3 years ago
7

5. A study found that the average time it took a person to find their dream home was 5.9 months. If a sample of

Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{0.8}{\sqrt{36}} = 0.26

The lower end of the interval is the sample mean subtracted by M. So it is 5.9 - 0.26 = 5.64 months

The upper end of the interval is the sample mean added to M. So it is 5.9 + 0.26 = 6.16 months.

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

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E^4x-5-e=0 Solve the equation for x
kati45 [8]

Answer:

x =  \frac{1}{4}  \times In(5 + e)

Step-by-step explanation:

{e}^{4x}  - 5 - e = 0 \\  {e}^{4x}  = 5 + e \\ 4x = In(5 + e) \\

\boxed{Answer:{\boxed{\green{x =  \frac{1}{4}  \times In(5 + e)}}}}

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In a 30 degree, 60 degree, 90 degree triangle shortest side is 15. Find the lengths of the other sides. Will give brainliest for
iren2701 [21]

Answer:

The ratio of sides in a 30-60-90 triangle is 1:√3:2. Since the shortest side is the 1 in this case the other lengths are 15√3 and 30.

8 0
3 years ago
Determine the actual cost, including interest, of a $3,450 used car with a down payment of $200 and 48 monthly payments of 75$ e
Fantom [35]

Answer:

$3,800

Step-by-step explanation:

$200 (down payment) + 48 x $75 (monthly payments)


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Since the original car was $3450, there was $350 in interest ($3800 - $3450 = $350)



5 0
3 years ago
What is the average rate of change of the function f(x)=480(0.3)x from x = 1 to x = 5?
m_a_m_a [10]

aerage rate of change is just the slope from the endpoints of teh interval


ie averagerateofchange=slope=\frac{f(5)-f(1)}{5-1}

assuming you mean f(x)=480(0.3)^x

evalaute f(5) and f(1)

f(5)=480(0.3)^5=1.1664

f(1)=480(0.3)^1=144


average rate of change=(1.1664-144)/(5-1)=-35.7084


the average rate of change of the function on the interval x=1 to x=5 is -35.7084

8 0
3 years ago
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