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3 years ago

Why is adding 3/9 and 6/9 different from multiplying the two fractions?

1 answer:

6 0

First off 3/9 and 6/9 are already common denominators. In some fractions you would need to find the least common denominator like in a problem like 1/2 + 4/5. Also 3/9 plus 6/9 results in 9/9 and 9/9 equals 1. Most fractions adding it subtracting results in a pan answer as a fraction but in this case it’s a whole number.

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while shopping you note the average price for a cd is 8$ including tax.you have $12 in poket about how many cds can you buy

leonid [27]

You can only buy 1 CD using $12 because $12 minus $8 is $4 and $4 is not enough for another CD.

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3 years ago

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Find the LCM of 63 and 84.

charle [14.2K]

252, because 2x2x3x3x7 = 252

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Sinθ+cotθ×cosθ=cscθ

Assoli18 [71]

Answer:

Step-by-step explanation:

$\sin \theta+\cot \theta\cos \theta=\sin \theta+\displaystyle \frac{\cos \theta}{\sin \theta}\cos \theta=\frac{\sin^2 \theta+\cos ^2 \theta}{\sin \theta}=\\\frac{1}{\sin \theta}=\csc \theta$

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3 years ago

Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 c

Bogdan [553]

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

$\mu = 162, \sigma = 8$

a) The percentage of heights less than 150 centimeters

We have to find the pvalue of Z when X = 150. So

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

$Z = \frac{150 - 162}{8}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

6.68% of heights less than 150 centimeters

b) The percentage of heights between 160 centimeters and 180 centimeters

We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.

X = 180

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

$Z = \frac{180 - 162}{8}$

$Z = 2.25$

$Z = 2.25$ has a pvalue of 0.9878

X = 160

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

$Z = \frac{160 - 162}{8}$

$Z = -0.25$

$Z = -0.25$ has a pvalue of 0.4013

0.9878 - 0.4013 = 0.5865

58.65% of heights between 160 centimeters and 180 centimeters

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3 years ago

Joyce saved $120 on an item that was $75 off. What was the original price

vaieri [72.5K]

The original price of the item will be $ 480.When there is 75% off on the original price.

<h3>What is the percentage?</h3>

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The right question is

"Joyce saved $120 on an item that was 75 % off. What was the original price?"

Given data;

% off = 75

Amount saved $120

Let the original price of the item is x

75 % of x + $120 = x

0.75x+ 120 =x

0.25 x =120

x=120/0.25

x=480

Hence, the original price of the item will be $ 480.

To learn more about percentages, refer to:

brainly.com/question/13450942

#SPJ1

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2 years ago