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3 years ago

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

Mathematics

1 answer:

il63 [147K]3 years ago

3 0

Answer:

Step-by-step explanation:

f(x) = 11 - 3x

f(-2) - put x = -2 to the f(x):

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:

Step(i):-

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

Step(ii):-

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

Final 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.

3 0

3 years ago

Find the slope of the line. A-1/2 B2 c-2 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]

0.53(3)+5 = 1.59 + 5 = 6.59 when n = 3
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

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

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