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Westkost [7]
4 years ago
12

Homework help...Last question: Estimate the product of 15.217 × 9.54. Round each number to the nearest whole number.

Mathematics
1 answer:
neonofarm [45]4 years ago
7 0
I rounded it to 150.

You could round 15.217 down to 15 and 9.54 up to 10 and then multiply 15 x 10 = 150. But you could also multiply 15.217 x 9.54 to get 145.17018 and round that up to 150 because any number that ends with 5 or higher rounds up.

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Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
lora16 [44]

The red lines mean the sides with the lines are the same. The red arc means those angles are the same.

Using that information you know the angle where the two same sides connect would also be the same.

So you have one side (S) and 2 angles (A) that are identical.

You can use B. ASA

8 0
3 years ago
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Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
4vir4ik [10]
The answer is A.

Hope I helped.
6 0
3 years ago
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Write the following equation in standard form:22+52 +4 24 - 220
LekaFEV [45]

Answer:2.78×10^2

Step-by-step explanation:

22+52+424-220

=278

In standard form

=2.78×10^2

6 0
3 years ago
A professor at a university wants to estimate the average number of hours of sleep students get during exam week. The professor
kotegsom [21]

Answer:

n=(\frac{1.64(6.995)}{1.939})^2 =35.003 \approx 36

So the answer for this case would be n=36 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =6.995 represent the population standard deviation

n represent the sample size  

Solution to the problem

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =1.939 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

If we replace we have this:

n=(\frac{1.64(6.995)}{1.939})^2 =35.003 \approx 36

So the answer for this case would be n=36 rounded up to the nearest integer

4 0
4 years ago
Help me order the expressions ! will mark brainliest ! spammers will be reported.
gogolik [260]

Step-by-step explanation:

1) 3^5 × 3^3 = 3^(5+3) = 3^8

=> 3^5 × 3^3 = 3^8

2) 3^3 × 5^3 = (3×5)^3 = 15^3

=> 3^3 × 5^3 < 15^5

3) 3^5 × 5^3 = 3^2×(3^3 × 5^3)

= 3^2 × 15^3 = 9×15^3

=> 3^5 × 5^3 > 15^3

4 0
3 years ago
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