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alexgriva [62]
2 years ago
3

The two-way table below displays demographic data for the passengers aboard the Titanic.

Mathematics
1 answer:
Nookie1986 [14]2 years ago
4 0

Answer:

0.7248

Step-by-step explanation:

Total children:

6 + 24 + 79 = 109

Children in 3rd class: 79

P(3rd/child) = 79/109

= 0.7247706422

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Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

4 0
2 years ago
Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at
Westkost [7]

Answer:

         \large\boxed{\large\boxed{3\times 10^8meters}}

Explanation:

One of the applications of scientific notation is to make estimations rounding the whole part of the numbers, i.e. the digits before the decimal point, to the nearest integer, and adding the exponents of the powers of base 10.

Here, you must estimate this product of two numbers written is scientific notation:

          (3.21\times 10^3)(1.13\times 10^5)

Then, for an estimation you round 3.21 to 3 and 1.13 to 1, then multiply 3 × 1 = 3. That will be the coefficient of your new power of 10.

The power or exponent will be the sum of the powers of the numbers that are being multiplied, i.e. 3 + 5 = 8.

And the result is 3\times 10^8

The unit is meters, so you write your answer as: 3\times 10^8meters

5 0
2 years ago
Read 2 more answers
F(x)=6-6x g(x)=-3x+6<br> Find f+g
Brut [27]

Answer:

12-9x is answer ........ . . .

3 0
2 years ago
a school baseball team raised $810 for new uniforms. each player on the team sold one book of tickets. There were 10 tickets in
antiseptic1488 [7]
27
Multiply 10 and 3 because thats how much each book is worth.
Then divide 810 by 30
The answer is 27
6 0
2 years ago
Two brothers walk toward each other from a starting distance
Gnoma [55]
450 meters from each
5 0
2 years ago
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