MATHEMATICS COLLEGE

Find the measure of x1.
{
83°
41
{
41 = [?]
Find the measure of x1. { 83° 41 { 41 - 1

Answers

Answer 1
Answer:

Answer:

Solution given:

< 1+ 83°= 180 [co- interior angle]

<1=180-83=97°

<1=97° is your answer

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In order to estimate the average electric usage per month, a sample of 81 houses was selected and the electric usage was determined. Assume a population standard deviation of 450 kilowatt-hours. If the sample mean is 1858 kWh, the 95% confidence interval estimate of the population mean is _________?

Answers

Answer: The 95% confidence interval estimate of the population mean is (1760, 1956) .

Step-by-step explanation:

Formula for confidence interval for population mean((\mu)) :

\overline{x}\pm z^*(\sigma)/(√(n))

, where n= Sample size

\overline{x} = sample mean.

z^* = Two-tailed critical z-value

\sigma = population standard deviation.

By considering the given information, we have

n= 81

\sigma=450 kilowatt-hours.

\overline{x}=1858 kilowatt-hours.

By using the z-value table ,

The critical values for 95% confidence interval : z^*=\pm1.960

Now , the 95% confidence interval estimate of the population mean will be :

1858\pm (1.960)(450)/(√(81))\n\n=1858\pm(1.960)(450)/(9)=1858\pm98\n\n=(1858-98,\ 1858+98)\n\n=(1760,\ 1956)

Hence, the 95% confidence interval estimate of the population mean is (1760, 1956) .

The area of a rectangle is at least 115 square centimeters. The width of the rectangle is 5 centimeters and the length of the rectangle is x centimeters. what are the value(s) of x

Answers

the census is 60 because it’s obviously when you divided

Question 17Solve the following problem below. Write your final answer in scientific notation
7.2 x 10
4 x 10-9
A
1.8 x 102
B
1.8 x 10-2
С
1.8 x 10-8
D
1.8 x 10-8

Answers

Answer:

1.8 × 10^10

Step-by-step explanation:

(7.2 × 10 = 72)

(72) ÷ (4 × 10^-9) = 1.8 × 10^10

Find the value of a. Then find the angle measures of the quadrilateral.

Answers

Answer:

a = 60

Step-by-step explanation:

Since it is a quadrilateral, the sum of interior angles is equal to 360°. Now you have to create an equation to solve this question. To create an equation, you have to add all the interior angles to 360°.

The equation would be 2a°+a°+a°+2a° = 360°.

Then you would simplify it to 6a° = 360.

You would divide 6 on both sides to get to a° = 60.

Therefore, the value of a is 60.

Hope this helped! If not, please let me know! <3
A=60 hope this helps you

Please help me thank you

Answers

Uhm I’m not sure, haven’t did fraction math in a long time

Mikey bikes 12 miles in 2 hours. How many miles does Mikey bike in an hour?

Answers

The answer is 6 hours

Answer:

6 miles

Step-by-step explanation:

2 hours can be made into 1 hour by dividing by 2. In order to keep the ratio, you also have to divide the miles by 2, giving you 6.

2:12

1:6
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