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mariarad [96]
3 years ago
10

By what percent will a fraction change if its numerator decreases by 85% and the denominator decreased by 25%

Mathematics
2 answers:
guajiro [1.7K]3 years ago
8 0

Let x/y be the original fraction.

After decreasing the numerator by 50% and decreasing the denominator by 25%, the fraction is:

(x - 0.5x) / (y - 0.25y) = (0.5x) / (0.75y)

 = (2/3)(x/y) = 66 2/3% of x/y

So, the fraction decreased by 33 1/3%.  

sineoko [7]3 years ago
5 0

The correct answer is 80%

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Which equations are equivalent to a/b = c/d? Choose more than one answer.
Kruka [31]

Answer:

1/3= 5/15

Step-by-step explanation:

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3 years ago
Y= -¹⁄₂₀ (x-25)² + 30
Marizza181 [45]

Answer:

y=80.05

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Step-by-step explanation:

7 0
3 years ago
What is the area of the triangle below? Choose the correct answer.
RideAnS [48]

Answer:

a. 16

Step-by-step explanation:

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multiply 32 by 1/2 to get 16.

8 0
3 years ago
The ages of adults in a certain community follow a normal distribution with mean 38 and standard deviation 6. The random variabl
nataly862011 [7]

Answer:

a = 33.32

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 38, \sigma = 6

P(32 < x < a) = .0590

This is the pvalue of Z when X = a subtracted by the pvalue of Z when X = 32.

X = 32

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

Z = \frac{32 - 38}{6}

Z = -1

Z = -1 has a pvalue of 0.1587

X = a

p - 0.1587 = 0.0590

p = 0.0590 + 0.1587

p = 0.2177

So when X = a, Z has a pvalue of 0.2177. So when X = a, Z = -0.78.

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

-0.78 = \frac{X - 38}{6}

X - 38 = -0.78*6

X = 33.32

So a = 33.32

3 0
3 years ago
QUESTIONS The average price of wheat per metric ton in 2012 was $30575. Demand in millions of metric tons) in 2012 was 672. The
soldi70 [24.7K]

Answer:<u> -0.9 ; inelastic</u>

Explanation:  

Given:

The average price of wheat per metric ton in 2012 = $305.75

Demand (in millions of metric tons) in 2012 = 672

The average price of wheat per metric ton in 2013 =  $291.56

Demand (in millions of metric tons) in 2013 = 700

We will compute the elasticity using the following formula:

ε = \frac{\frac{(Q_{2} - Q_{1})}{\frac{(Q_{2} +Q_{1})}{2}}}{\frac{(P_{2} - P_{1})}{\frac{(P_{2} +P_{1})}{2}}}

ε = \frac{\Delta Q}{\Delta P}

Now , we'll first compute  \Delta Q

i.e.  \frac{\Delta Q}{\Delta P} = \frac{(700 - 672)}{\frac{(700 +672)}{2}}

\Delta Q = 0.04081

Similarly for  \Delta P

i.e. \Delta P = \frac{(291.56 - 305.75)}{\frac{(261.56 +305.75)}{2}}

\Delta P = -0.0475

ε = \frac{0.04081}{-0.0475}

ε = -0.859 \simeq -0.9

\because we know that ;

If, ε > 1 ⇒ Elastic

ε < 1 ⇒ Inelastic

ε = 1 ⇒ unit elastic

<u><em>\because Here , ε = -0.859 \simeq -0.9 </em></u>

<u><em>Therefore ε is inelastic.</em></u>

6 0
4 years ago
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