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labwork [276]
3 years ago
13

Why is the answer 20 for number 38?

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Given:

production of electricity in Minnesota in 10^9 kWh

in 2009 = 12 (renewable) = 15% of total production (P)

in 2015 = 25% (renewable) of total production (P)

Total production of the two years are the same.

Solution:

First find P

we know that 12 * 10^9 kWh is 15% of P, or

0.15P=12*10^9

=> P=12*10^9/0.15 = 80*10^9 kWh

For 2015,

25% of P is renewable, therefore

x=0.25P=0.25*80*10^9 kWh = 20 * 10^9 kWh

Hence answer is 20, in units of 10^9 kWh.



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Olin [163]

Hey DatGamer13!

Question:

Solve for x

Solution:

Subtract 10 from both sides.

3x^2 + 13x − 10 = 10 − 10

3x^2 + 13x − 10 = 0

Factor left side of equation.

(3x − 2) (x + 5) = 0

Set factors equal to 0.

3x − 2 = 0 or x + 5 = 0

Answer:

x = 2/3 or x = −5

6 0
3 years ago
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A sample of salary offers (in thousands of dollars) given to management majors is: 48, 51, 46, 52, 47, 48, 47, 50, 51, and 59. U
balu736 [363]

Answer:

Step-by-step explanation:

number of samples, n = 10

Mean = (48 + 51 + 46 + 52 + 47 + 48 + 47 + 50 + 51 + 59)/10 = 49.9

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (48 - 49.9)^2 + (51 - 49.9)^2 + (46 - 49.9)^2+ (52 - 49.9)^2 + (47 - 49.9)^2 + (48 - 49.9)^2 + (47 - 49.9)^2 + (50 - 49.9)^2 + (51 - 49.9)^2 + (59- 49.9)^2 = 128.9

Standard deviation = √128.9/10 = 3.59

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 10 - 1 = 9

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.262

Margin of error = 2.262 × 3.59/√10

= 2.57

the lower limit of this confidence interval is

49.9 - 2.57 = 47.33

the lower limit of this confidence interval is

49.9 + 2.57 = 52.47

So it is false

6 0
3 years ago
Can you help me with these 3?
miskamm [114]

Step-by-step explanation:

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Common difference is 6

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Common difference is 13

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aleksley [76]

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Since we have given that

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0.5 pints is given by

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kati45 [8]

Answer:

Step-by-step explanation:21

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