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3 years ago

Find the sum is of the geometric series 12+6+3+...

1 answer:

3 0

$S=12+6+3+...\\\\a_1=12;\ a_2=6;\ a_3=3\\\\r=a_2:a_1\\\\r=6:12=\dfrac{1}{2} \ \textless \ 1\\\\therefore\ S=\dfrac{a_1}{1-r}\\\\S=12+6+3+...=\dfrac{12}{1-\frac{1}{2}}=\dfrac{12}{\frac{1}{2}}=12\cdot\dfrac{2}{1}=24\\\\Answer:\boxed{12+6+3+...=24}$

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For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50. What is the sample standard de

sleet_krkn [62]

Answer:

Step-by-step explanation:

The z-score is calculated by the following formula

z=(x-μ)/σ

where

μ=Population mean

σ=Population standard deviation

If the z-score for a specific sample mean is discussed then z-score is computed as

z=xbar-μ/σxbar.

where

μ=Population mean

σxbar=Sample standard deviation

As the population mean and mean of sampling distribution of mean are equal so, μ is used in above equation.

Now, the z-score is given

1.5=xbar-μ/σxbar

σxbar=xbar-μ/1.5.

Also we know that z-score corresponds to a score that is 6 points above mean which means that xbar-μ=6.

σxbar=6/1.5

σxbar=4.

Thus, the required sample standard deviation is 4.

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3 years ago

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Evgen [1.6K]

126 + 9x = 180
180 - 126 = 54
9x = 54
x = 6

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3 years ago

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wolverine [178]

Answer:

Step-by-step explanation:

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3 years ago

Molly must drive across a bridge over a river eight times each week. Because the bridge is narrow and traffic is congested, Moll

oee [108]

Based on Molly's willingness to pay for the 8th trip, and the number of trips she can make over the bridge, her willingness to pay for the bridge repair would be<u> $1.00.</u>

<h3>What is Molly's willingness to pay for taxes to fix the bridge?</h3><h3 />

Molly's willingness to pay for trips is equal to the total consumer surplus she gets.

This means that her consumer surplus is $0.50.

With the bridge fixed, she can make 2 more trips than before because she can make 10 trips.

Her willingnesss to pay for the taxes will therefore be equal to her willingness to pay for the remaining trips:

= 0.50 x 2

= $1.00

Find out more on willingness to pay at brainly.com/question/8449170.

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2 years ago

What is 1.75 divided by 5.25

Diano4ka-milaya [45]

Answer:

0.333333333

Step-by-step explanation: its goes on forever never stopping

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3 years ago

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