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Oxana [17]
3 years ago
9

Convert 8.1616 to a fraction

Mathematics
2 answers:
loris [4]3 years ago
7 0

<u>The answer is 808/99</u>




Dominik [7]3 years ago
6 0

Answer:

8 16/99

Step-by-step explanation:


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I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)
Tanya [424]

Answer:

8x+29

Step-by-step explanation:

open the brackets the collect like terms together

5 0
2 years ago
The scores of students on the ACT college entrance exam in a recent year had the normal distribution with mean  =18.6 and stand
Maurinko [17]

Answer:

a) 33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) 0.39% probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 18.6, \sigma = 5.9

a) What is the probability that a single student randomly chosen from all those taking the test scores 21 or higher?

This is 1 subtracted by the pvalue of Z when X = 21. So

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

Z = \frac{21 - 18.6}{5.4}

Z = 0.44

Z = 0.44 has a pvalue of 0.67

1 - 0.67 = 0.33

33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) The average score of the 76 students at Northside High who took the test was x =20.4. What is the probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher?

Now we have n = 76, s = \frac{5.9}{\sqrt{76}} = 0.6768

This probability is 1 subtracted by the pvalue of Z when X = 20.4. So

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

By the Central Limit Theorem

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

Z = \frac{20.4 - 18.6}{0.6768}

Z = 2.66

Z = 2.66 has a pvalue of 0.9961

1 - 0.9961 = 0.0039

0.39% probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher

4 0
2 years ago
Choose the system of inequalities that best matches the graph below.<br><br> Will Mark Brainlest
Ira Lisetskai [31]

it is c.

Step-by-step explanation:

your y is -4 and you are rising 4times and running 1.

5 0
3 years ago
Please help me!!! I will try to mark brainliest if the answer is correct!
netineya [11]

Answer:

I think the first is answer bcz 35+55=90 ..... 180-90=90

5 0
3 years ago
Juan was presented with the following problem on a math test: "Divide 3/4 by 5/7 Show your work" His work is shown below. What w
nignag [31]

Answer:

0.952381

Step-by-step explanation:

Juan forgot to simplify 20/21 when he got his answer and was supposed to round to the nearest 6 decimals places and when he simplify it, it was supposed to be written in decimal form

8 0
2 years ago
Read 2 more answers
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