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dimulka [17.4K]
3 years ago
12

A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event

B be choosing a black ball first and event R be choosing a red ball second. What are the following probabilities? P(B) = ✔ 8/12 P(R | B) = ✔ 4/11 P(B ∩ R) = The probability that the first ball chosen is black and the second ball chosen is red is about percent
Mathematics
2 answers:
myrzilka [38]3 years ago
8 0

Answer:

8/12

4/11

8/33

24%

Step-by-step explanation:

edg 2021

Leviafan [203]3 years ago
6 0

Answer:

P(B) = 8/12

P(R | B) = 4/11

P(B ∩ R) = 8/33

The probability that the first ball chosen is black and the second ball chosen is red is about  24 percent.

Step-by-step explanation:

I just got it right on edge 2020. Good luck with school!!

You might be interested in
Heeelp
alukav5142 [94]

Answer: see below

Step-by-step explanation  

Let    2 + a = 11 x

Let    35 - b = 11 y

Where x and y are any unknown integer

subtract the two equations

- 33 + a + b = 11 (x+y)

a+ b = 11 (x+ y) +33

a+ b = 11 (x+y) + 3 (11)

a+ b = 11(x+ y+3)

Which proves that a+b is a  factor of 11

6 0
2 years ago
A. Original Price: $16.20
Tom [10]

Answer:

The final price is $ 22.68  And Proportional constant is 1.4  

Step-by-step explanation:

Given as :

The Original price = $ 16.20

The rate of increase = 40%

Let The final price = x

Now,

Final price after increase = initial price × ( 1 + \frac{\textrm Rate}{100}

Or. Final price after increase = $ 16.20 × ( 1 + \frac{\textrm 40}{100}

Or, Final price after increase = $ 16.20 × ( 1.4 )

∴ Final price after increase = $ 22.68

Now , Proportional constant = \frac{22.68}{16.20}

I.e Proportional constant = 1.4

Hence The final price is $ 22.68  And Proportional constant is 1.4  Answer

4 0
2 years ago
Find the area of circle Y. The image is represented by circle Y with a sector XYZ that has an area of 85.5 square meters. That s
pochemuha

Answer:

  263.08 m²

Step-by-step explanation:

The fraction of circle area that a sector represents is proportional to the central angle.

<h3>Proportion</h3>

  circle area/circle angle = sector area/sector angle

  circle area / 360° = 85.5 m² / 117°

Multiplying by 360°, we have ...

  circle area = (360/117)(85.5 m²) = 263.08 m²

The area of the circle is about 263.08 m².

6 0
1 year ago
Taxicab Ride
lara [203]

Answer: Carlton's cabs is the cheaper option if she wants to travel 15 miles.

Step-by-step explanation:

A linear relationship can be written as:

c = a*n + b

where a is the slope (in this case, the rate per mile), n is the number of miles driven by the taxi, and b is the y-axis (in this case, the initial cost) intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then for each table we only need to take two points and construct the linear equation:

Treveon's Taxis:

We can use the two points (1, $5.25) and (3, $9.75)

Then the rate per mile, or the slope, will be:

a = ($9.75 - $5.25)/(3 - 1) = $2.25

This means that each mile costs $2.25

Then the equation will be written as:

c = $2.25*n + b

To find the value of b, we can just replace one of the points in the equation. For example, I will se the point (1, $5.25) this means that we need to replace n  by 1, and c by $5.25

Then:

$5.25 = $2.25*1 + b

$5.25 - $2.25 = b

$3 = b

Then the initial cost here is $3.

And the equation will be:

c = $2.25*n + $3.

Carlton's Cabs:

Same approach as before, here I will use the points (1, $7.00) and (3, $10.50)

Then the rate per mile will be:

a = ($10.50 - $7.00)/(3 - 1) = $1.75

The rate per mile is $1.75 (is cheaper than in the previous case)

Then at the moment, the equation is:

c = $1.75*n + b

To find the initial cost, we do the same as before, here i will use the point (1, $7.00)

$7.00 = $1.75*1 + b

$7.00 - $1.75 = b

$5.25 = b

The initial cost here is $5.25

And the equation will be:

c = $1.75*n + $5.25

Now, which one is cheaper for 15 miles?

We only need to replace n by 15 in both equations, and see in which one the cost is lower:

Treveon's Taxis:

c(15) = $2.25*15 + $3 = $36.75

Carlton's Cabs:

c(15) = $1.75*15 + $5.25 = $31.5

Then Carlton's Cabs is a better option if you want to travel 15 miles.

6 0
3 years ago
1
MrRa [10]

Answer:

2,995 or 35,940(?)

Step-by-step explanation:

I don't exactly remember how to do this so, I'll show you two different ways I solved this

Use the formula I=P*r*t

I=Interest

P=Principal

r=rate

t=time

To solve this you'll have to...

The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2

Put it into the formula form 29,950*0.05*2= 2,995 in interest

Or...

You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...

29,950*0.6*2=35,940 in interest

I hope one works!

4 0
2 years ago
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