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3 years ago

745,651 rounded to the nearest hundred thousand

Mathematics

1 answer:

sveticcg [70]3 years ago

8 0

745,651
745,650
745,700
746,000
750,000
800,000

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Which of the following is the correct interpretation of

vagabundo [1.1K]

0.15 is the answer to your question

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3 years ago

The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel economy

r-ruslan [8.4K]

Answer:

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.7531

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.7531\frac{0.78}{\sqrt{16}} = 0.34$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg

The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

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3 years ago

Suppose that cos = 12/13 what is sin what is cos 2

riadik2000 [5.3K]

First, some housekeeping:

cos = 12/13 is incomplete; "cos" must have an argument (input).

cos x = 12/13 is fine; here "cos" has the argument (input) x.

Given that cos x = 12/13, find sin x. To do this, we'll need to find the length of the opposite side, given that the hypo length is 13 and the adj. side length is 12.

12^2 + opp^2 = 13^2, or opp^2 = 169-144 = 25.

Then the opp side could be either 5 or -5. Let's assume that it's +5, and that angle x is in the first quadrant.

Then sin x = opp / hyp = 5/13 (answer)

cos 2 is an entirely different kind of problem. Here you are told what the argument (input) to the cosine function is (it is 2, which here means 2 radians).

Using a calculator: cos 2 = -0.416. Note that the angle 2 rad is in QII, which is why the "adjacent side" is negative and also why the cos of 2 is negative.

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3 years ago

On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write a

ss7ja [257]

Answer:

Expression is; 29 - x = 16

I've attached an image showing the number line

Step-by-step explanation:

We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.

Let the drop be x.

Thus;

29 - x = 16

I've attached an image showing the number line

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A perfect square is a number that has integer square root

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tr it and it wil; he;p

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