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andrew-mc [135]
3 years ago
15

Is 0.9 a rational number ? what type of answer is desired?

Mathematics
1 answer:
wolverine [178]3 years ago
6 0
When paired with 0.23 0.9 is a rational number
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A regctangle has a length of 22 meters less than 6 times its width. If the area of the rectangle is 3780 square meters, find the
Olenka [21]

Answer:

length = 140 meters

width = 27 meters

Step-by-step explanation:

length=x

width=y

6y-22=x

xy=3780

4 0
3 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
Daniel's goal is to walk 100 miles.• He walks 5 miles every day.• He has
lozanna [386]

Answer:

65 miles

Step-by-step explanation:

Given:

  • k = how many more miles Daniel has to walk
  • Goal = 100 miles
  • Daily miles = 5 miles
  • Number of days already walked = 7 days

Equation:

5 × 7 + k = 100

Solving:

⇒ 5 × 7 + k = 100

⇒ 35 + k = 100

⇒ k = 100 - 35

⇒ k = 65

3 0
2 years ago
There are 321 crayons in a box and 204 crayons on the floor. About how many fewer than 1,000 crayons are there? Estimate. Then s
zimovet [89]

Answer:

1000 - 300 - 200 = 500

Step-by-step explanation:

estimation

3 0
3 years ago
17.Which of the following is the equation of a line parallel to y-axis?
AlexFokin [52]

Answer:

I think that the answer is a

7 0
2 years ago
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