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KATRIN_1 [288]
2 years ago
6

What is the product of 1/-5a x 9b/-5 simplify?

Mathematics
1 answer:
svlad2 [7]2 years ago
4 0
The answer is \frac{9b}{25a}
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Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio
Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

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 question, we have that:

\mu = 500, \sigma = 80

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

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

Z = \frac{620 - 500}{80}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

3 0
3 years ago
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What is the answer to this problem 7 6/7 + 7 1/9
xxMikexx [17]
14.9682539683 Your welcome have a good day!

8 0
3 years ago
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Smith has 12 cans of dog food. He has two dogs and gives 2/3 can of food to each dog in a day. For how many days will his dog fo
Amiraneli [1.4K]

Answer:

He has food for 9 days.

Hence, yes he has enough dog food to last one week.

Step-by-step explanation:

8 0
3 years ago
Condense the log equation: 4 log x + log y - 5 log z
Setler [38]

Answer:

The condensed log equation is: \log{\frac{x^4y}{z^5}}

Step-by-step explanation:

We use these following logarithm properties to solve this question:

a\log{x} = \log{x^a}

\log{a} + \log{b} = \log{ab}

\log{a} - \log{b} = \log{\frac{a}{b}}

In this question:

4\log{x} = \log{x^4}

5\log{5} = \log{z^5}

So

4\log{x} + \log{y} - 5\log{z}

Becomes:

\log{x^4} + \log{y} - \log{z^5}

Now applying the addition and subtraction properties, we have:

\log{\frac{x^4y}{z^5}}

The condensed log equation is: \log{\frac{x^4y}{z^5}}

7 0
3 years ago
The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula mc
Gnoma [55]
<span>Given that the orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a^(3/2). If Saturn’s orbital period is 29.5 years, then 29.5 = a^(3/2) a = (29.5)^(2/3) = 9.547 Therefore, Saturn's distance from the sun is 9.547 astronomical units.</span>
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3 years ago
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