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3 years ago

there were 22,869 children, 49,563, and 2,872 more women than men at the fair. how many people were at the fair?

Mathematics

2 answers:

andreyandreev [35.5K]3 years ago

5 0

There were 75,304 people at the fair

Yanka [14]3 years ago

3 0

Wait what does the 49,563 stand for.
How many men were at the fair.
I'm confused?

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How many pages can Jorge print in 3/5 of an hour if he can print 24 pages every 15 minutes?

MariettaO [177]

Answer:

57.6 pages

Step-by-step explanation:

First, you need to identify how many minutes are in 3/5 of an hour:

1 hour = 60 minutes

3/5 of an hour = 3/5 of 60 minutes

= 3/5(60)

= 36

So, you need to find out how many pages can be printed in 36 minutes. To figure this out, a ratio can be used:

15 : 24

36 : p

p represents pages in 36 minutes.

Now, you need to solve the ratio by figuring out what you need to multiply 15 by to get 36 and then multiplying that by 24:

15 * 36/15 = 36

36/15 = 2.4

24*2.4

= 57.6 pages

5 0

3 years ago

Find the value of (X)<br> The subject is polygons.

Rudik [331]

Please delete this answer.

3 0

3 years ago

Together two ferries can transport a day's cargo in 7 hours. The larger ferry can transport cargo three times faster than the sm

Ksju [112]

Answer:

9 hours, 20 minutes

Step-by-step explanation:

When two ferries work together, they transport a day's cargo in 7 hours

The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1

The sum of the ratio = 4 (3 + 1)

This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.

Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.

9.33 hours = 9 hours, 20 minutes.

6 0

3 years ago

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

Write the equation of the line that passes through the points (-6,1) and (-2,5). Put your answer in fully reduced point-slope fo

irinina [24]

(-6,1)
(-2,5)

Slope:-

$\\ \sf\longmapsto m=\dfrac{5-1}{-2+6}=\dfrac{4}{4}=1$

Point-Slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y-1=1(x+6)$

$\\ \sf\longmapsto y-1=x+6$

$\\ \sf\longmapsto x-y+7=0$

3 0

3 years ago