MATHEMATICS COLLEGE

Rewrite each fraction with a denominator of 121212.
\dfrac{3}{4} =

Answers

Answer 1

Answer:

Answer:

9/12

Step-by-step explanation:

First you multiply 3x12 which equal 36 then you divide 36 by 4 which equal 9 so your answer is 9/12

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A lion runs at a speed of 50 mph and a cheetah runs 78 mph. If they both run at a steady rate, how far will a cheetah run in the time it takes a lion to run 13.75 miles?

Answers

Answer:

21.45 miles

Step-by-step explanation:

Key:

t=time

d=distance

We need to find the time the lion ran first.

The time the lion ran:

13.75=50•t

13.75=50t

-50t=-13.75

t=-13.75•-1/50

t = 0.275

So the lion ran in 13.75 miles in 0.275 of an hour.

Now, we need to figure out the cheetah.

0.275•78=21.45 miles

I hope this helps :-)

The smaller of two consecutive numbers is x + 3. Find the sum of the two numbers.

Answers

Answer:

x+3. is the first num

x +4 is the second num

the sum is 2x +7

Answer:

2x + 7

Difference is 1

Step-by-step explanation:

Consecutive numbers are numbers that increase with a steady difference.

For example; 1, 2, 3 all increase with a difference of 1 (2 = 1 + 1; 3 = 2 + 1) and so on.

If the smaller of two consecutive numbers is x + 3, that means the other number which should be bigger is x + 4

Therefore the sum of both numbers is (x + 3) + (x + 4) = 2x + 7.

Their difference is (x + 4) - (x + 3) = 1

And subtracting their sum from x + 8 gives (x + 8) - (2x + 7) = x + 8 - 2x - 7 = -x + 1.

According to a poll, 76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California. Find the error bound. (Round your answer to three decimal places.)

Answers

Answer:

The error bound is 3.125%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.