All categories

3 years ago

There is a total of 270 men, women and children on a train.

Mathematics

2 answers:

ryzh [129]3 years ago

6 0

Because the ratio of women to children is 10:1, double the ratio of men to women so the women are both 10:

Men to women becomes 8:10

Now total the 3 ratios: 8 for men, 10, for women and 9 for children:

8 + 10 + 9 = 27

Divide total people by that number:

270/27 = 10

Multiply 10 by each ratio:

Men = 8 * 10 = 80

Women = 10 * 10 = 100

Children = 9 *10 = 90

There is 80 men.

Mandarinka [93]3 years ago

3 0

Answer:

There are 80 men on the train.

Step-by-step explanation:

Hello! I just completed this question on MathsWatch so here is my explanation

Step 1:

The first thing you need to do is work out the ratio of men to women to children on the train which is

8:10:9

Step 2:

8+10+9= 27

270÷27=10

Step 3:

We now know that 1 in the ratio is equal to 10 people.

To work out the amount of men we need to multiply 10 by 8

10×8=80

These means there is 80 men on the train

You might be interested in

A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the

iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

$Event\ 1 = \{1,2,3,4,5,6\}$

Next, we list out the sample space of F

$Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\$

$6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}$

In (1): the sample space of E is:

$E = \{1\}$

So:

$P(E) = \frac{n(E)}{n(Event\ 1)}$

$P(E) = \frac{1}{6}$

In (2): the sample space of F is:

$F = \{5,5,5,5\}$

So:

$P(F) = \frac{n(F)}{n(Event\ 2)}$

$P(F) =\frac{4}{36}$

$P(F) =\frac{1}{9}$

For E and F to be independent:

$P(E\ and\ F) = P(E) * P(F)$

Substitute values for P(E) and P(F)

This gives:

$P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}$

$P(E\ and\ F) = \frac{1}{54}$

However, the actual value of P(E and F) is 0.

This is so because $E = \{1\}$ and $F = \{5,5,5,5\}$ have 0 common elements:

So:

$P(E\ and\ F) = 0$

Compare $P(E\ and\ F) = \frac{1}{54}$ and $P(E\ and\ F) = 0$ .

These values are not equal.

Hence: the two events are not independent

6 0

2 years ago

Which equation can be used to find the volume of a sphere that has a radius of 9 miles?

Licemer1 [7]

V=(4/3)pir^3

r=9
V=(4/3)pi9^3
V=12pi243
V=972pi

aprox pi=3.14
3052.08 mi^3

6 0

3 years ago

Move the slider on the graph on the right to graph each function:

DedPeter [7]

Answer:

The domain is $x\geq 7$

The range is $y\geq 1$

Step-by-step explanation:

we have

$y=\sqrt{x-7} +1$

<em>Find the domain</em>

Remember that

The domain of a function is the set of all possible values of x

we know that the radicand of the function must be greater than or equal to zero

$x-7\geq 0$

solve for x

$x\geq 7$

therefore

The domain is $x\geq 7$

<em>Find the range</em>

Remember that

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

For x=7

The value of y is equal to

$y=\sqrt{7-7} +1=1$

The solution for y is the interval [1,∞)

therefore

The range is $y\geq 1$

6 0

2 years ago

Read 2 more answers

(Will give 25 points) Given the graph of this trigonometic funaction over which domain(s) could inverse function be constructed

GREYUIT [131]

Answer:

ok so i think it it a or b i don't know but hope i am right

Step-by-step explanation:

5 0

2 years ago

What is the radius of a sphere with a volume of 12,348 π cubic feet?

vova2212 [387]

Answer:

Radius = 21

Step-by-step explanation:

Volume of a sphere = 4/3 * pie * radius^3

12,348 pie = 4/3 * pie * radius ^3

12,348 = 4/3 * radius^3

(12,348 * 3)/ 4 = radius^3

9261 = radius^3

radius = $\sqrt[3]{9261}$

radius = 21

5 0

2 years ago