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3 years ago

Help on question number 5. Please

Mathematics

1 answer:

Georgia [21]3 years ago

6 0

Answer:

Step-by-step explanation:

First you set up a porportion then times 15 ×60 divided by one hundred so it would be B

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An engineer wants to know if the average amount of energy used in his factory per day has changed since last year. The factory u

m_a_m_a [10]

Answer:

The calculated value Z = 1.8823 <1.96 at 0.05 level of significance

The average amount of energy used in his factory per day has changed since last year.

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 2000 (MWH)

Given that size of the sample 'n' = 400

Given that mean of sample x⁻ = 2040 MWH

Given that the standard deviation = 425 MWH per day

Step(ii):-

Null hypothesis:H₀: μ = 2000 (MWH)

Alternative Hypothesis:H₁: μ≠ 2000( MWH)

Test statistic

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

$Z = \frac{2040-2000}{\frac{425}{\sqrt{400} } }$

Z = 1.8823

The calculated value Z = 1.8823 <1.96 at 0.05 level of significance

Final answer:-

The calculated value Z = 1.8823 <1.96 at 0.05 level of significance

The average amount of energy used in his factory per day has changed since last year.

3 0

2 years ago

The graph of y = 1 x is vertically stretched by a factor of 3, reﬂected across the y-axis and shifted to the left by 2 units. Wh

galben [10]

y = 3(-x - 2)

Any horizontal transformations or reflections you make to y = x must be within the parentheses.

8 0

3 years ago

Write an equation in slope-intercept form of the line that passes through (-6,4) and (-1,2).

xz_007 [3.2K]

Answer:

Step-by-step explanation:

(-6 , 4) & (-1 , 2)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}$

m = -2/5 & (-6 , 4)

y -y1 = m(x -x1)

$y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}$

6 0

3 years ago

90 out of 120 students in your grade are girls at your school. What percentage are boys?

sesenic [268]

30% Bc there are 30 boys and 90 girls or it’s 10% boys

7 0

3 years ago

Describe a real-world situation that can be modeled by the function y=2x-3.

lara [203]

Yes you have a good example.

x = number of cookies

2*x = total amount spent on cookies at $2 each

2x-3 = amount you pay after the $3 discount is applied one time for the entire order

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a more numeric example may be this

Lets say you bought 12 cookies, so x = 12

This means it costs 2*x = 2*12 = 24 dollars total if the discount doesnt apply

However, the 3 dollar discount is there, so the grand total is 24-3 = 21 dollars.

3 0

3 years ago