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morpeh [17]
3 years ago
8

Reginald answered 78% if the question correctly.what fractional part did he not answer correctly

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

We are given that Reginald answered = 78% questions.

Total questions in percentage form could be written as 100%.

Reginald answered = 78% so, Reginald answered didn't answer = 100-78 = 12%.

Now, we need to convert 12% into a fraction.

We know, a percentage represents out of 100. So, we need write 100 in the bottom of that number.

Therefore, 12% could be written as 12/100.

Now, we could reduce 12/100 into simplest fraction, by dividing by a common number in top and bottom.

12 and 100 both can be divided by 4.

Dividing 12 and 100  by 4, we get

\frac{\frac{12}{4} }{\frac{100}{4} } = \frac{3}{25}

Therefore, 3/25 fractional part did he not answer correctly.

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HURRY I NEED HELP: Write an equation in point-slope form of the line that passes through the point (3, 5) and has a slope of m=−
skelet666 [1.2K]

Answer:

\huge y - 5 =  - 1(x - 3) \\

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

From the question we have the final answer as

y - 5 =  - 1(x - 3)

Hope this helps you

6 0
3 years ago
a) A large hotel in Miami has 900 rooms (all rooms are equivalent). During Christmas, the hotel is usually fully booked. However
Olegator [25]

Answer:

14.69% probability that this happens

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

1000 people were given assurance of a room.

This means that n = 1000

Let us assume that each customer cancels their reservation with a probability of 0.1.

So 0.9 probability that they still keep their booking, which means that p = 0.9

Probability more than 900 still keeps their booking:

n = 1000, p = 0.9

So

\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{1000}} = 0.0095

901/1000 = 0.91

So this is 1 subtracted by the pvalue of Z when X = 0.91.

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

By the Central Limit Theorem

Z = \frac{0.91 - 0.9}{0.0095}

Z = 1.05

Z = 1.05 has a pvalue of 0.8531

1 - 0.8531 = 0.1469

14.69% probability that this happens

3 0
3 years ago
3. What is the length of side a rounded to the<br> nearest tenth of a centimeter?
nlexa [21]

Answer:

a=10

Step-by-step explanation:

a^2+b^2=c^2

8 is b

12.8 is c

a^2+64=163.84

a^2=99.84

a=√99.84

a=10

Hope this helps!

3 0
3 years ago
Please answersssss 15 pointssss
Anettt [7]
The answer to this problem is B
7 0
3 years ago
Read 2 more answers
There are more swimmers under 30 years old than there are age 50 and above.
garik1379 [7]

Answer:

true!

Step-by-step explanation:

this is more of a statement then a question.

7 0
2 years ago
Read 2 more answers
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