There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. What is the probability that a randomly chosen team includes 4 or 6 boys?

Answers

Answer 1

Answer: The total number of girls = 6
Number has to be selected = 5
Therefore the probability = 5/6

The total number of boys = 7
Number has to be selected = 5
Therefore the probability = 5/7

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Cory has 15 die-cast cars in his collection. Each year his collection increases by 20%. Roger has 40 cars in his collection. Each year he collects 1 additional car.Part A: Write functions to represent Cory and Roger's collections throughout the years.
Part B: How many cars does Cory have after 6 years? How many does Roger have after the same number of years?
Part C: After approximately how many years is the number of cars that Cory and Roger have the same? Justify your answer mathematically.

Answers

Part A:
For Roger: $y=x+40$
For Cory: $y=15 (1.2)^(x)$
where y is the total number of cars each boy collects over the year, x as the number of years passed.

Part B:
For Roger: 46
For Cory: 44.79~ 45 cars

Part C:
Here, we are trying to find the number of years (x) where Cory and Roger have the same number of cars.
By equating Roger and Cory's functions, we can solve for x
$x+40=15 (1.2)^(x)$ .
Since we cannot solve the value of x directly, we use trial and error to estimate the year.
When x=1
$41 \neq 18 \n$
When x=2
$42 \neq 21.6$
When x=3
$43 \neq 25.92$
When x=4
$44 \neq 31.10$
When x=5
45=/=37.3
When x=6
46=/=44.8
When x=7
47=/=53.7

The years that pass by before Cory and Roger have nearly the same number of cars is 6.

Answer:

Step-by-step explanation:

Part A:

For Roger:

For Cory:

where y is the total number of cars each boy collects over the year, x as the number of years passed.

Part B:

For Roger: 46

For Cory: 44.79~ 45 cars

in sound and harmonics, the frequency of a vibrating string varies inversely to its length. A guitar string 20 inches long vibrates at a frequency of 400 cycles per second. Find the frequency of a 35- inch string.

Answers

20 inches is 400
10 inches is 200
5 iches is 100

So 20+10+5=35
Which means 400+200+100= 700

So the frequency of a 35 inch string is 700 cycles per second

What is the ratio equivalent to 18:8

Answers

9:4

you can divide both sides by a common factor, in this case 2

Select the correct answer from the choices given(13 + 4i) + n = 0
What is n?

a. 0

b. 1

c. –13 + 4i

d. –13 - 4i

Answers

In equating a complex number to 0, we must add an opposite form of the equation, where the values of the real and imaginary parts are the same as the original, but have opposing signs. In the case of (13 + 4i), we have to add (-13 - 4i) to equate it to 0. Among the choices, the correct answer is D.

Answer:

d -13-4i

Step-by-step explanation:

Eeeeeeeeeeee whats 40 x 10

Answers

Answer:

400

Step-by-step explanation:

setian 400

eso es todo

How to do this equation x=7-y

Answers

There is nothing to do with it. If it gives you x=# or y=# then you can plug it in, but otherwise, this is the simplest way to write this equation.
If you want to go further, you can figure out that
y= 7-x
but that's about it.

x = 7 - y
x - 7 = 7 - 7 - y
x - 7 = -y
x + 7 = y
y = x + 7

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