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3 years ago

What is the quotient of 75 and 2.4

Mathematics

2 answers:

stira [4]3 years ago

5 0

$75/2.4=31.25\ or\ 31 \frac{1}{4}$

Nezavi [6.7K]3 years ago

4 0

75 ÷ 2.4 =
= 75 ÷ 2 4/10 =
= 75 ÷ 2 2/5 =
= 75 ÷ 12/5 =
= 75 * 5/12 =
= 375/12 =
= 31 3/12 =
= 31 1/4 =
= 31.25

Just remember that dividing two fractions is as much as multiplying the same fraction by an inverse of the another one.

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Goop Inc. needs to order a raw material to make a special polymer. The demand for the polymer is forecasted to be normally distr

Darya [45]

Answer:

There is a 78.81% probability that they will run out of raw material.

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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

The demand for the polymer is forecasted to be normally distributed with a mean of 250 gallons and a standard deviation of 125 gallons. So $\mu = 250, \sigma = 125$ .

Suppose Goop purchases 150 gallons of raw material. What is the probability that they will run out of raw material? That is $P(X > 150)$ .

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

$Z = \frac{150 - 250}{125}$

$Z = -0.8$

$Z = -0.8$ has a pvalue of 0.2119. This means that $P(X \leq 150) = 0.2119$

Also

$P(X \leq 150) + P(X > 150) = 1$

$P(X > 150) = 1 - 0.2119 = 0.7881$

There is a 78.81% probability that they will run out of raw material.

6 0

4 years ago

Which shows the greatest common factor of 18 and 24 with 18/24 in simplest form

BARSIC [14]

Greatest Common Factor of 18 and 24 is 6.
18/24 can be simplified to 3/4

5 0

3 years ago

Plzzzzzz help me and my friend can’t figure this out

IrinaVladis [17]

$\bf \begin{array}{cccll} \stackrel{tokens}{bought}&\stackrel{played}{games}&\stackrel{tokens}{left}\\ \cline{1-3} 25&0&25-0(2)\\ 25&1&25-1(2)&\to 23\\ 25&2&25-2(2)\\ 25&3&25-3(2)\\ 25&4&25-4(2)&\to 17\\ 25&5&25-5(2)\\ 25&6&25-6(2)\\ 25&7&25-7(2)\\ 25&8&25-8(2)\\ 25&9&25-9(2)\\ 25&10&25-10(2)&\to 5\\ 25&11&25-11(2)\\ 25&12&25-12(2)&\to 1\\ 25&g&25-g(2) \end{array}\qquad \qquad \textit{\huge f(g) = 25-2g}$

how many tokens are left after playing 1,4,10 and 12 games? check the table above.

7 0

3 years ago

Can someone help me please?

vlabodo [156]

Step-by-step explanation:

ZX is the diameter of the circle with center A.

$\therefore m\angle YAZ + m\angle XAY = 180°\\\therefore (5w+4)°+(11w)°= 180°\\\therefore (16w+4)° = 180°\\\therefore 16w+4 = 180\\\therefore 16w = 180 - 4\\\therefore 16w = 176\\\therefore w = \frac{176}{16}\\\therefore w =11\\ \therefore m\angle YAZ = (5w+4)°\\\therefore m\angle YAZ = (5\times 11+4)°\\\therefore m\angle YAZ = (55+4)°\\\therefore m\angle YAZ = 59°\\\because \overset{\frown}{YZ) = m\angle YAZ\\\therefore \overset{\frown}{YZ) = 59°\\$

5 0

3 years ago

In 2\3 of an hour, the workers had installed 2/5 of the flooring. At that rate, what fraction of the flooring is finished after

AleksAgata [21]

Answer:

3/5

Explanation:

In 2/3 of an hour, the fraction of flooring installed = 2/5

Therefore:

$\begin{gathered} In\text{ 1 hour, the fraction of flooring installed} \\ =\frac{2}{5}\div\frac{2}{3} \\ =\frac{2}{5}\times\frac{3}{2} \\ =\frac{3}{5} \end{gathered}$

3/5 of the flooring is finished in 1 hour.

5 0

1 year ago