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3 years ago

[[(3^3-7) • 5) /10] +((1+3+6+9) - 10 )

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

4 0

Answer:

=19

Step-by-step explanation:

[[(3^3-7) • 5) /10] +((1+3+6+9) - 10 )

Solve ;

=(10) + (9)

=19

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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

Solve the system of equations:

Sophie [7]

The solution of the system of equations is (6 , -7)

Step-by-step explanation:

There are two method to solve the system of equations

Elimination method: we make the coefficients of one variable in the two equations have same values and different signs, then we add the two equations to eliminate this variable and have an equation of other variable, we solve it to find the other variable, then substitute the value of this variable in one of the two equations to find the first variable
Substitution method: We use one of the two equations to find one variable in terms of the other, then substitute it in the second equation to have an equation of the other variable, we solve it to find the other variable, then substitute the value of this variable in the equation of the first variable

Let us use the elimination method with your problem

∵ 3x + 2y = 4 ⇒ (1)

∵ 3x + 6y = -24 ⇒ (2)

- Multiply equation (1) by -1 to eliminate x ⇒ to make the coefficients of x in the two equations have same values and different signs

∵ -3x - 2y = -4 ⇒ (3)

- Add equations (2) and (3)

∴ 4y = -28

- Divide both sides by 4

∴ y = -7

Substitute value of y in equations (1) OR (2) to find x

∵ 3x + 2(-7) = 4

∴ 3x - 14 = 4

- Add 14 for both sides

∴ 3x = 18

- Divide both sides by 3

∴ x = 6

The solution of the system of equations is (6 , -7)

I hope this explanation help you

Learn more:

You can learn more about the system of linear equations in brainly.com/question/6075514

#LearnwithBrainly

3 0

2 years ago

If you have a right triangle is 10 cm² and one of the legs is 4 cm find the length of the other leg

lesya [120]

If you are saying that the hypotenuse is 10 cm the you have to solve the following equation using the Pythagorean theory.

4^2 + b^2 = 10^2

16 + b^2 = 100

16 - 16 + b^2 = 100 - 16

b^2 = 84

Find $\sqrt{84\\$

5 0

3 years ago

Read 2 more answers

You are planning your cousin’s birthday party. He wants to invite at least 250 adults and children combined. Each adult will be

olga_2 [115]

The system of inequalities is x+y≥250 and 3x+2y≤800.

Step-by-step explanation:

Given,

People to invite = at least 250

At least 250 means that the number can increase from 250.

Cups to be provided = only 800

It means the number cannot exceed 800.

Number of adults = A

Number of children = C

According to given statement;

x+y≥250

3x+2y≤800

The system of inequalities is x+y≥250 and 3x+2y≤800.

Keywords: linear inequalities, addition

Learn more about linear inequalities at:

#LearnwithBrainly

5 0

2 years ago

Use the bar graph to find the experimental probability of the event.

uysha [10]

Answer: where is the bar graph?

6 0

3 years ago