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Luda [366]
3 years ago
15

Factor 3/4 x^2 +31/20 x-3/5

Mathematics
1 answer:
34kurt3 years ago
7 0
3/4x^2+31/20x-3/5 factored is (3x-1)(5x+12)/20
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Label the dividend, divisor, and quotient in the problem 27,438 divided by 9 equals 3,048 r6.
Alika [10]
The dividend is the number being divided so the dividend is 27,438
The divisor is the one dividing the number so the divisor is 9
The quotient is your answer so you quotient is 3048

Your answer is C.

Hope this helps!

7 0
3 years ago
Please help me to solve the problems
OLga [1]
4 tens and 10 ones is 410
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3 0
3 years ago
In 2013, a study found that U.S. consumers consumed soft drinks with a mean of 42.2 gallons per year and variance of 169. Ninety
melisa1 [442]

Answer:

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

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:

The standard deviation is the square root of the variance, so \sigma = \sqrt{169} = 13

Also, the mean is 42.2, so \mu = 42.2

Ninety-five percent of consumers in the U.S. consumed less than how many gallons?

The 95th percentile, which is the value of X when Z has a pvalue of 0.95. So X when Z = 1.645

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

1.645 = \frac{X - 42.2}{13}

X - 42.2 = 13*1.645

X = 63.59

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

4 0
3 years ago
Translate the following written expression into a mathematical expression. Then, find the expression's value when a = 186 and b
antoniya [11.8K]

Answer: The correct answer is option A: 6

Step-by-step explanation: We shall start by splitting the word problem into bits to ease our calculations.

We start with “the quotient of a and 6...” and that can be expressed as

a/6 where a equals 186, this becomes

186/6 and this equals 31.

Note that quotient means the result derived from dividing two numbers/values.

Next, “The difference of ... and b squared”

The missing part of this statement has been calculated as 31, so this can now be written as “The difference of 31 and b squared” where b equals 5 and b squared now equals 25. Hence what we have is the difference of 31 and 25

That is, 31 - 25 and that equals 6.

Therefore, the expression can now be written out as;

(a/6) - b^2

When a equals 186 and b equals 5, the answer is 6

8 0
3 years ago
How many kids are there in the US
alexira [117]

Answer:

74.2 million children under the age of 18

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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