What is the value of the expression shown below?

What is 4.16666666 as an improper fraction?

omeli [17]

Answer:

416666666/100000000

Step-by-step explanation:

To write 4.16666666 as a fraction you have to write 4.16666666 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

5 0

3 years ago

The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab

erastova [34]

Answer:

the probability that the sample mean will be larger than 1224 is 0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that ;

$S \sim N ( 1200,60)$

the probability that the sample mean will be larger than 1224 will now be:

$P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })$

$P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })$

$P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })$

$P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })$

$P(\overline X > 1224) = P(Z > 2.4 })$

$P(\overline X > 1224) =1 - P(Z \leq 2.4 })$

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 - 0.9918

P(\overline X > 1224) = 0.0082

Hence; the probability that the sample mean will be larger than 1224 is 0.0082

4 0

3 years ago

How many ounces of a 15% alcohol solution must be mixed with 4 ounces of a 20% alcohol solution to make a 17% alcohol soluti

sukhopar [10]

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

7 0

2 years ago

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A snail is moving at a rate of three inches every two minutes. How fast is the snail moving in feet per hour?

likoan [24]