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8_murik_8 [283]
3 years ago
13

3(14-5) using distributive property

Mathematics
2 answers:
Archy [21]3 years ago
7 0

Answer:

27

Step-by-step explanation:

Using PEMDAS, you will subtract first/ 14-5 = 9. Then we have the 3 and the 9 left. Multiply and you get 27

vovikov84 [41]3 years ago
6 0

Answer:

27

Step-by-step explanation:

The distributive property is simple. When there are numbers inside the parenthesis and a number outside of it like in the equation, you multiply all of the numbers inside the parenthesis by the outside number.

3 ( 14 - 5 )

3 * 14 = 42

3 * -5 = -15

After this, you take the remaining numbers and use the method PEMDAS to solve the equation.

42 - 15 = 27

Your answer is 27, hope this helps :)

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One leg of a right triangle measures 10 inches while the other leg measures sqrt(21) Inches . What is the length of hypotenuse ?
Sveta_85 [38]

Answer:

\sqrt{541} \\=x

Step-by-step explanation:

10^2+21^2=x^2]

100+441=x^2

541=x^2

\sqrt{541} \\=x

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3 years ago
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EASY MATH THAT I DON,T GET PLZ HELP QUICKLY<br>​
jolli1 [7]

Answer:

Terms: 4

Degree: 3

Leading coeff: 7

Step-by-step explanation:

a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by division. 7x³+5x²-3x+1 would have 4 terms: 7x³, 5x², -3x, and 1

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The leading coefficent is the coefficient in the term with the highest power, in this case being 7.

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6 0
3 years ago
Calculate the loss on selling 50 shares of stock originally bought at 133/4 and sold at 12. A. $687.50 B. $87.50 C. $600.00 D. $
lianna [129]

Answer:

The loss would be 1062.50

Step-by-step explanation:

To find this, first convert the purchase price into a decimal.

133/4 = 33.25

Now multiply that my the number of shares bought.

33.25 * 50 = 1662.50

This is the amount that was spent. Now to find the sale price, multiply the number of shares by the new price.

50 * 12 = 600

And to find the total loss, subtract the amount of the purchase price from the sale price.

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3 years ago
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For a particular diamond mine, 81% of the diamonds fail to qualify as "gemstone grade". A random sample of 92 diamonds is analyz
Fed [463]

Answer:

68.79% probability that more than 79% of the sample diamonds fail to qualify as gemstone grade

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

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}

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 92, p = 0.81

So

\mu = E(X) = np = 92*0.81 = 74.52

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This is 1 subtracted by the pvalue of Z when X = 0.79*92 = 72.68. So

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

Z = \frac{72.68 - 74.52}{3.76}

Z = -0.49

Z = -0.49 has a pvalue of 0.3121

1 - 0.3121 = 0.6879

68.79% probability that more than 79% of the sample diamonds fail to qualify as gemstone grade

4 0
3 years ago
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Answer:

6

Step-by-step explanation:

100/18=5 1/2

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