What is angle 1 if 1 and 2 are complementary

1. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (

vladimir2022 [97]

Answer:

Kindly check explanation for (1)

2.)

B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.

Step-by-step explanation:

1.)

H0 : μ = 10290

H0 : μ > 10290

n = 153, sample mean, xbar = 10586 ; population standard deviation, σ = 2509 ; α = 0.05

Test statistic:

(xbar - μ) ÷ (σ/√(n))

(10586 - 10290) ÷ (2509/√(153))

296 / 202.84062

Test statistic (Z) = 1.46

We obtain the Pvalue :

Decision Region :

Reject H0 ; if Pvalue < α

Pvalue from Z test statistic calculator :

Pvalue = 0.072

Pvalue > α ; Hence, we fail to reject the Null ; there isn't sufficient evidence to support the power company's claim

2.)

H0 : μ = 10290

H0 : μ > 10290

n = 153, sample mean, xbar = 10446 ; population standard deviation, σ = 2509 ; α = 0.02

Test statistic:

(xbar - μ) ÷ (σ/√(n))

(10446 - 10290) ÷ (2509/√(153))

156 / 202.84062

Test statistic (Z) = 0.769

We obtain the Pvalue :

Decision Region :

Reject H0 ; if Pvalue < α

Pvalue from Z test statistic calculator :

Pvalue = 0.221

Pvalue > α ; Hence, we fail to reject the Null ;

B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.

5 0

3 years ago

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut

castortr0y [4]

Each day, 30 cents are added onto the fee.

-3 days would mean -3 * 30 cents on the fee, which is -90 cents, or -0.90.
and -2.5 charges of 30 cents would be -75 cents!
...but you can't have negative days or fees, so A and B are out of the question.

4.5 charges of 30 cents IS $1.35...
...but the library charges by day, of course.

8 charges of 30 cents would be $2.40, and both of these are realistic possible numbers.

8 0

4 years ago

Read 2 more answers

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors. Chapter Refe

max2010maxim [7]

The number of students attending the camp that summer is 380 students

Step-by-step explanation:

There are four counselors for every fifty seven students

There are three teachers for every five counselors

Ms. Rifkin asked all 16 teachers present at the camp to attend a

teachers meeting

To solve this question we will use the ratio

The given is:

1. 4 counselors for every 57 students

2. 3 teachers for every 5 counselors

3. There are 16 teachers

At first let us find the 16 teachers are for how many counselors

∵ 3 teachers : 5 counselors

∵ 16 teachers : x counselors

∴ $\frac{3}{5}=\frac{16}{x}$

By using cross multiplication

∴ 3x = 16 × 5

∴ 3x = 80

Divide both side by 3

∴ x = $\frac{80}{3}$

Then let us find the $\frac{80}{3}$ counselors are for how many students

∵ 4 counselors : 57 students

∵ $\frac{80}{3}$ counselors : y students

∴ $\frac{4}{57}=\frac{80/3}{y}$

By using cross multiplication

∴ 4y = 57 × $\frac{80}{3}$

∴ 4y = 1520

Divide both sides by 4

∴ y = 380 students

The number of students attending the camp that summer is 380 students

Learn more:

You can learn more about the ratio in brainly.com/question/6952762

#LearnwithBrainly

4 0

3 years ago

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. y = x squared + 2

Charra [1.4K]

Answer:

Step-by-step explanation:

y = x² + 2x - 5

d. D: all real numbers R: (y greater-than-or-equal-to negative 6)

6 0

3 years ago

Professor Simpson is interested if time spent studying is affected by the color of a room. She randomly assigns her students int

Pachacha [2.7K]

Answer:

IV: colour of the room

DV: The number of minutes each group spends studying

Step-by-step explanation:

IV(Independent Variable) : is what is changed in the experiment and the colour of the room is being changed.

DV(Dependent Variable) : is what is measured in the experiment and the number of minutes in spent on studying is measured.

3 0

3 years ago