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3 years ago

A family has 5 children. Compute the probabilities of the following events:

Mathematics

2 answers:

Bezzdna [24]3 years ago

7 0

Answer:

1/16,807 chance that they all will be born on Friday

Probably 5/7, but don't take my word for it.

Step-by-step explanation:

There are 7 days of the week.

There is a 1/7 chance for one kid to be born on a certain day of the week.

We can attach an exponent of 5 since the 1/7 is a constant, and I'm not going to bother typing the same thing over and over again.

(1/7)^5 = 1/16,807.

The probability of all of them being born on Friday or anyday is 1/16,807.

The probability of each person being born on a different day of the week is probabily going to be 5/7, but it could be different, because you need to factor in the requirement that they are not born on the same day.

I can guarantee that the first question is probably correct, but not the second.

Arlecino [84]3 years ago

4 0

I think the answer is 10% and 90%

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salantis [7]

Answer:

The Graph Shifts 4 units up

Step-by-step explanation:

Okay so, when you add four to a graph in this manner we have to look at the equation as a whole. f(x)=mx+b + 4. By adding four we are changing the y-intercept and shifting it up four. This will cause the entire graph to shift upwards four spaces.

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3 years ago

1/4 times the sum of a number and −3.2 is 1.8. What is the number?

joja [24]

Answer:

10.4

Step-by-step explanation:

Let the number be x

Sum of x and -3.2 : x + (-3.2) = x - 3.2

1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)

$\dfrac{1}{4}* \left( x - 3.2 \right) = 1.8\\\\\Multiply \ the \ whole \ equation \ by \ 4 \\\\4*\dfrac{1}{4} *(x - 3.2) = 1.8*4\\\\\\x - 3.2 = 7.2\\\\Add \ 3.2 \ to \ both \ sides\\\\\\x = 7.2 + 3.2\\$

x = 10.4

5 0

3 years ago

A fish tank contains 18 goldfish and 22 guppies. If you randomly select 2 fish, what is the probability that they are both goldf

Leya [2.2K]

The total number of fish available in the tank is (18 + 22) = 40. The probability for 1 goldfish to be taken out would be 18/40. Now, after drawing the first fish, the probability to get another goldfish would be 17/39. And the probability to draw 2 goldfish would be the product of both probabilities. P = (18/40)(17/39) = 51/260 So,the answer is B.

3 0

3 years ago

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Find the slope of the line containing the two points. (2,5),(-3,-2) Please show work

HACTEHA [7]

Answer:

7/5

Step-by-step explanation:

To solve this problem we will use the formula to find the slope of a line given two points (x₁, y₁), (x₂, y₂)

The formula is:

$m= \frac{y{_2} -y_{1}}{x_{2}-x_{1} } \\\\$

So, we're going to use the points (2,5), (-3, -2) in this formula.

$m= \frac{-2-(5)}{-3-(2)} \\m=\frac{-2-5}{-3-2}\\m=\frac{-7}{-5} \\m=\frac{7}{5}$

Therefore, the slope is 7/5

8 0

3 years ago

Does Anyone have idea how to solve this problem?

garik1379 [7]

A.

5 * 2 = 10

8 * 2 = 16

10 cm by 16 cm is the new dimensions. Area = 160 sq cm. Perimeter = 52 cm.

B.

5 * 3 = 15

8 * 3 = 24

15 cm by 24 cm is the new dimensions. Area = 360 sq cm. Perimeter = 78 cm.

C.

The areas for the different sized photos both still maintain a ratio of 5:8 cm.

6 0

3 years ago

Read 2 more answers