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yaroslaw [1]
3 years ago
10

What is .36 repeating expressed as the quotient of two integers in simplest form?

Mathematics
1 answer:
Igoryamba3 years ago
5 0
x=0.\overline{36}\\
100x=36.\overline{36}\\
100x-x=36.\overline{36}-0.\overline{36}\\
99x=36\\
x=\dfrac{36}{99}\\
x=\dfrac{4}{11}
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A warehouse distributor of carpet faces a normally distributed demand for its carpet. The average demand for carpet from the sto
dimulka [17.4K]

Answer:

There is a 25.14% probability that the order will not be met during a month.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 4500, \sigma = 900.

The order will not be met if X > 6000. So we find the pvalue of Z when X = 6000, and subtract 1 by this value.

Z = \frac{X - \mu}{\sigma}

Z = \frac{6000 - 4500}{900}

Z = 1.67

Z = 1.67 has a pvalue of 0.7486.

So there is a 1 - 0.7486 = 0.2514 = 25.14% probability that the order will not be met during a month.

3 0
3 years ago
2. Write and solve an equation to find the value of x.<br> 3.8, 4.2, 5.3, x; mean 4.8
BabaBlast [244]

Answer:

5.9

Step-by-step explanation:

The mean means arithmetic average (some people just say average here).

The average of 4 numbers is the sum of those 4 numbers divided by the number of numbers which is 4 in this case.

So we have this formula:

\frac{3.8+4.2+5.3+x}{4}=4.8

Multiply both sides by 4:

3.8+4.2+5.3+x=4(4.8)

Simplify:

13.3+x=19.2

Subtract 13.3 on both sides:

x=19.2-13.3

Simplify:

x=5.9

3 0
3 years ago
-x+8&gt;6 which value of X is in the solution set of the following inequality?
densk [106]

Answer:

A.1

Step-by-step explanation:

-x+8>6

Subtract 8 from each side

-x+8-8>6-8

-x > -2

Divide by -1.  Remember that flips the inequality

-x/-1 < -2/-1

x<2

The only number that is less than 2 is one so

4 0
3 years ago
Solve for b. Put your answer in simplest radical form. Show Steps plz!<br><br><br> A = 4πbc + πb^2
sladkih [1.3K]

Answer:

b = -2c ± [√(4π²c² + πA)]/π

Step-by-step explanation:

A = 4πbc + πb^2

A = 4πbc + πb²

πb² + 4πbc - A = 0

Using the quadratic formula to solve this quadratic equation.

The quadratic formula for the quadratic equation, pb² + qb + r = 0, is given as

b = [-q ± √(q² - 4pr)] ÷ 2p

Comparing

πb² + 4πbc - A = 0 with pb² + qb + r = 0,

p = π

q = 4πc

r = -A

b = [-q ± √(q² - 4pr)] ÷ 2p

b = {-4πc ± √[(4πc)² - 4(π)(-A)]} ÷ 2π

b = {-4πc ± √[16π²c² + 4πA]} ÷ 2π

b = (-4πc/2π) ± {√[16π²c² + 4πA] ÷ 2π}

b = -2c ± [√(4π²c² + πA)]/π

Hope this Helps!!!

4 0
3 years ago
How do you divide 50 by 60 and get 85
Ratling [72]

you cannot get that answer.... when you divide. Put the number into a fraction first so, it makes it easier to see what you are doing. So,\frac{50}{60}.Now simplify the cross off the zero from the top and the bottom to get\frac{5}{6}. So, \frac{5}{6} will give you 0.83333333333...3.
8 0
3 years ago
Read 2 more answers
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