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charle [14.2K]
3 years ago
12

Demetrius Scored 28 points in5 56 minutes duringa game of tennis. How many points did he average per minute during that

Mathematics
1 answer:
slava [35]3 years ago
3 0

Answer:

420/89

Step-by-step explanation:

What we know:

Demetrius scored 28 points in 356 seconds.

To get the per second rate divide 28 by 356.

28/356 = 7/89

Here, we're looking for the per minute rate, so multiply the previous rate by 60.

(7*60)/89 = 420/89 (Since this asks for an improper fraction, I'll keep it as so.)

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Find P(x > 120) provided that it is known that
tresset_1 [31]

The probability when x is greater than 120 is 0.0367. Then the correct option is D.

<h3>What is a normal distribution?</h3>

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be

The z-score will be

z = (120 - 95)/ 14

z = 1.7857

Then the probability will be

P(x > 120) = P(z > 1.7857)

P(x > 120) = 1 - P(x<120)

P(x > 120) = 1 - 0.96293

P(x > 120) = 0.0367

More about the normal distribution link is given below.

brainly.com/question/12421652

#SPJ1

3 0
2 years ago
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

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{92*0.81*0.19} = 3.76

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

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
Need help with math pls help me will mark brainiest.
saw5 [17]

Answer:

The slope is \frac{-1}{3}.

Step-by-step explanation:

Math Vocabulary            Values

Vertical Change                 -1

Horizontal Change             3

Slope                                   \frac{-1}{3}

8 0
3 years ago
A fireman's ladder leaning against a house makes an angle of 50° with the ground. How long is the ladder if the ladder is 8 feet
antoniya [11.8K]

The ladder would be 12.4 feet hope that helps

5 0
3 years ago
I need your help please I don’t understand this
Step2247 [10]
The answer is y = -5/7x + 4/7! The first step is to subtract the 5x so it’s on the other side of the equal sign. So now the equation is 7y = -5x + 4. Then divide each of them for 7
3 0
3 years ago
Read 2 more answers
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