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liberstina [14]
3 years ago
8

Evaluate the function(x) = 11 – 3xfor -2).​

Mathematics
1 answer:
il63 [147K]3 years ago
3 0

Answer:

<h2>17</h2>

Step-by-step explanation:

f(x) = 11 - 3x

f(-2) - <em>put x = -2 to the f(x):</em>

<em />

f(-2) = 11 - 3(-2) = 11 + 6 = 17

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The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh
Marat540 [252]

Answer:

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 10,608 kWh of electricity this year.

Given that the size of the sample n = 187

Given that mean of sample x⁻ = 10737 kWh

The Standard deviation of the Population = 1220kWh

Level of significance = 0.05

The critical value (Z₀.₀₅)= 1.96

<u><em>Step(ii):-</em></u>

Null Hypothesis: H₀:μ > 10608 kWh

Alternative Hypothesis: H₁: μ < 10608kWh

Test statistic

                 Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

                Z = \frac{10737- 10608 }{\frac{1220}{\sqrt{187} } }

                Z = 1.4460

<u>Final answer:-</u>

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

3 0
3 years ago
Find the slope<br>of the line.<br>A-1/2<br>B2<br>c-2<br>D1/2​
ehidna [41]
The answer is B.2
You have to go up 2 and a cross 1 which would look like 2/1 and that equals 2 basically
7 0
3 years ago
The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation
rjkz [21]

Answer:

Mean age: 48

Standard deviation: 4

Step-by-step explanation:

a) Mean

The formula for Mean = Sum of terms/ Number of terms

Number of terms

= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10

= 480/10

= 48

The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

The standard deviation of the ages is 4

3 0
3 years ago
Evaluate 0.53n+5 when n=3 and when n=-3
melomori [17]
<span>0.53(3)+5 = 1.59 + 5 = 6.59 when n = 3
</span>0.53(-3)+5 = -1.59 + 5 = 3.41 when n = -3
4 0
3 years ago
Read 2 more answers
The table gives the boiling point of water at different altitudes.
stich3 [128]
Slope = raise / run

(211.1 - 212.0) / (0.5-0) = - 1.8

(210.2 - 211.1) / (1.0-0.5) = - 1.8

(208.4 - 210.2) / (2.0 - 1.0) = - 1.8

You can check, the other points. The slope is constant because the function is a linear equation,

Answer: - 1.8
4 0
3 years ago
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