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jeyben [28]
3 years ago
14

Round the number to the place of the underlined digit.

Mathematics
2 answers:
Mama L [17]3 years ago
7 0

Answer:

9.39

Step-by-step explanation:

<u>Given number:</u>

  • 9.3866

Round this to the place of digit 8

Since the digit to the right from 8 is 6>5, it will round up

<u>So the rounded number becomes:</u>

  • 9.39
ANTONII [103]3 years ago
3 0
9.39 and you don’t add the 66 at the end
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The average size of a new house built in a Hays county in 2010 was 1,872 square feet. A random sample of 40 new homes built in H
vlada-n [284]

Answer:

The test statistic is z = 2.7.

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?

This means that the null hypothesis is:

H_0: \mu = 1872

And the alternate hypothesis is:

H_a: \mu > 1872

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

1872 is tested at the null hypothesis:

This means that \mu = 1872

Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.

This means that n = 40, X = 2031, \sigma = 373

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}

z = 2.7

Pvalue and decision:

The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.

Looking at the z-table, z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

7 0
3 years ago
Part B: Angie claims there is an alternative way to prove these two triangles congruent using ASA Explain why.
Ludmilka [50]

Answer: A would be angle "O" sine both triangle PNO and LMO share the same angle

S would be ON = LM ( as shown)

A would be angle "L" and angle "N" or angle "P" and angle "M" ( the side is opposite of each other)

( sorry, I'm not good at explaining

Step-by-step explanation:

6 0
3 years ago
Ranger simplified this expression. 3(2.7x + 5) – 2(4x – 1.6) What was Ranger's simplified expression? 0.1x + 18.2 –16.1x + 11.8
Ymorist [56]

Answer:

Ranger's simplified expression was 0.1x + 18.2

The correct answer is the first option.

Step-by-step explanation:

To simplify the given expression

3(2.7x + 5) – 2(4x – 1.6)

First, we will open the brackets by distributing 3 and 2, that is

(3×2.7x) + (3×5) -(2×4x) -(2×-1.6)

Now, we will get

8.1x + 15 - 8x +3.2

Now, collect like terms,

8.1x - 8x + 15 + 3.2

Then, we will get

0.1x + 18.2.

Hence, Ranger's simplified expression was 0.1x + 18.2.

The correct answer is the first option.

5 0
3 years ago
Read 2 more answers
Solve for X with steps
yarga [219]

Answer:

x= 17.78

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 18^2

b^2= 18^2-8^2

b^2 = 260

so you have to take square root i can't show the symbol of it so i am just do it

b= 16.12

then you use that for other tringle

same formula

24^2= x^2+16.12^2

x^2= 316.15

x= 17.78

6 0
3 years ago
When graphing (3,0) on a coordinate plane, you move 3 units along the
mr Goodwill [35]

Answer:

x-axis

Step-by-step explanation:

When graphing (3, 0) on a coordinate plane, you move 3 units to the right of the origin. This means you are moving along the x-axis.

3 0
4 years ago
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