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3 years ago

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Adding school fairest 20% of the people are under 16 years old one third of the people remaining are teachers if there are 21 te

achers at the fair how many people are there at the fair Total

1 answer:

dedylja [7]3 years ago

4 0

<span>In the fairest school 20% are below 16 years old
1/3 are teachers which is equals to = 21
Let’s start solving:
=> 1/3 of 100% = ( 100 / 3 = 33.33% )
thus 33.33% = 21
=> 21 x 3 = 63, is the total number of people in the school.
Let’s try solving the number of people below 16 years old
Then there are 20% of it:
=> 63 * .20 = 12.6
Thus, there are around 13 people who are 16 years old younger.</span>

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The ages of Aman and Arun are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present

Viktor [21]

Answer:

Aman's age = 20, Arun's age = 28

Step-by-step explanation:

Let $x$ = Aman's age

Let $y$ = Arun's age

- - - -

$x+4+y+4=56$ (Sum of their age is 56 after 4 years in the future)

$x+y+8=56$

$x+y=48$

$\frac{x}{y} = \frac{5}{7}$ (Ages are in the ratio 5:7)

$x=\frac{5}{7}y$

Now, we can use substitution to find for Arun's age:

$x+y=48$

$\frac{5}{7}y+y=48$

$\frac{12}{7}y=48$

$y=28$

∴ Arun is $28$

To find for Aman's age, we can use substitution:

$x+y=48$

$x+28=48$

$x=20$

∴ Aman is 20

Hope this helps :)

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3 years ago

Anyone want to help me with math <br> Solve 1−2/5 < 5x+2/5−4x

Masteriza [31]

Answer:x > 1/5

Step-by-step explanation:

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3 years ago

in a class of 15 boys and 35 girls 40% of the students in the class take the bus to school how many students do not take the bus

shusha [124]

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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

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3 years ago

A city planning

NNADVOKAT [17]

Answer: Yes, because the total height will be 185 ft, which is less than the 310 ft limit.

Step-by-step explanation:

$20+(15)(11)=185 < 310$

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2 years ago