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aniked [119]
3 years ago
10

If Thor's hammer can travel 4.95 km per second, how far can it travel in 12 seconds?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

59.4 km

Step-by-step explanation:

use the formula <u>distance = velocity x time</u>

where velocity = 4.95 km/sec

time = 12 sec

plugin values into the formula

distance = 4.95 km/sec x 12 sec

distance = 59.4 km

therefore,

thor's hammer travelled 59.4 km

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11/2 is the fraction in its simplest form
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2) In August, Emily's Clothing Store sold 460 shirts with the ratio of short sleeve to long
aivan3 [116]

Answer:

138

Step-by-step explanation:

We know that there are at least 3 short sleeved shirts and there are at least 7 long sleeved shirts. And we know it's in that ratio. So the best way to start this is to divide 460 by 7+3 to get the single unit amount of both shirts.

46 is the single unit amount. So 46 * 3 will get us our short sleeved shirts:

46 * 3 = 138

To check our answer, we'll take 460-138 and divide that by 7 to see if we get 46:

322/7 = 46

So the answer is correct!

4 0
3 years ago
Find an equation for the line with an x-intercept of 4 and y-intercept of -2
Bumek [7]

Answer:

Step-by-step explanation:

The x-intercept exists when y = 0; the coordinate that results from our x-intercept is (4, 0).

The y-intercept exists when x = 0; the coordinate that results from our y-intercept is (0, -2).

We can use these 2 coordinates to find the slope of the line we need to write:

m=\frac{-2-0}{0-4}=\frac{1}{2}

Now we can use that slope along with one of our points to write the equation of the line.  I am going to use the point-slope form, then we will solve it for y to put it into slope-intercept.  Let's use the coordinate (4, 0).  Keep in mind that regardless of which point we choose to use to write our equation, we will get the same equation.

y - 0 = 1/2(x - 4) and

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That's your equation!

6 0
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Step-by-step explanation:

3 0
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A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has ch
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Answer:

C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.

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The value of the chi-square test statistic was 7.82 and the p- value is 0.02. This means that if the null hypothesis were true there is a 2 percent chance of obtaining a chi square value of at least 7.82

The p- value is defined as obtaining the test statistic under H0 as extreme as observed.

When the p- value is less than 0.05 in the chi square goodness fit test it means that the null hypothesis is rejected.

There fore option C is the best answer.

A)There is a 2 percent chance that the company's claim is correct.

B) There is a 2 percent chance of obtaining a chi-square value of at least 7.82.

C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.

D) If the null hypothesis were true, there is a 2 percent chance that the company's claim is correct.

E)  If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of 7.82.

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