Answer:
2/35
Step-by-step explanation:
Let w and b be the numbers of white and black balls in the bag respectively.
So, the total numbers of the balls in the bag is
[tex]n=w+b\;\cdots(i)[/tex]
As the bag can hold maximum 15 balls only, so
[tex]n\leq15 \;\cdots(ii)[/tex]
Probability of picking two white balls one after other without replacement
=Probability of the first ball to be white and the probability of second ball to be white
=(Probability of picking first white balls) x( Probability of picking 2nd white ball)
Here, the probability of picking the first white ball [tex]=\frac{w}{n}[/tex]
After picking the first ball, the remaining
white ball in the bag [tex]= w-1[/tex]
and the remaining total balls in the bag [tex]=n-1[/tex]
So, the probability of picking the second white ball [tex]=\frac{w-1}{n-1}[/tex]
Given that, the probability of picking two white balls one after other without replacement is 14/33.
[tex]\Rightarrow \frac{w}{n} \times \frac{w-1}{n-1}=\frac{14}{33}[/tex]
[tex]\Rightarrow \frac{w(w-1)}{n(n-1)} =\frac{14}{33}[/tex]
Here, [tex]w[/tex] and [tex]n[/tex] are counting numbers (integers) and 14 and 33 are co-primes.
Let, [tex]\alpha[/tex] be the common factor of the numbers [tex]w(w-1)[/tex] (numerator) and [tex]n(n-1)[/tex] (denominator), so
[tex]\frac{w(w-1)}{n(n-1)} =\frac{14\alpha}{33\alpha}[/tex]
[tex]\Rightarrow w(w-1)=14\alpha\cdots(iii)[/tex]
And [tex]n(n-1)=33\alpha.[/tex]
As from eq. (ii), [tex]n\leq 15[/tex], so, the possible value of [tex]\alpha[/tex] for which multiplication od two consecutive positive integers (n and n-1) is [tex]33\alpha[/tex] is 4.
[tex]n(n-1)=11\times (3\alpha)[/tex]
[tex]\Rightarrow n(n-1)=12\times11[/tex] [as [tex]\alpha=4[/tex]]
[tex]\Rightarrow n=12[/tex]
So, the number of total balls =12
From equation (iv)
[tex]w(w-1)=7\times (2\alpha)[/tex]
[tex]\Rightarrow w(w-1)=8\times7[/tex]
[tex]\Rightarrow w=8[/tex]
So, the number of white balls =8
From equations (i), the number of black balls =12-8=4
In the similar way, the required probability of picking two black balls one after other in the same way (i.e without replacement) is
[tex]=\frac{b}{n} \times \frac{b-1}{n-1}[/tex]
[tex]= \frac{4}{15} \times \frac{4-1}{15-1}[/tex]
[tex]= \frac{4}{15} \times \frac{3}{14}[/tex]
[tex]= \frac{2}{35}[/tex]
probability of picking two black balls one after other without replacement is 2/35.
Help with finding out if an equation has multiple solutions.
Answer:
Exactly one solution.
Step-by-step explanation:
When you simplify and combine like terms, you end up with 23y=0. This means that y=0 is the one and only solution.
Answer:
B
Step-by-step explanation:
23y+50+27y=50y+50
find your same like terms and solve
23y+27y+51y
51y+50=50y+50
51y +50y=50+50
you would be left with one solution
101y=100
Convert 3,450,000 into scientific notation.
Answer:
3.45 x 106
Step-by-step explanation:
Answer:
3.45 * 10⁶
Hope that helped :D
marios rental store charges a one time fee of $18 and then $6 per movie.Luigi's rental store charges $9 per movie. How many movies must be rented for the total cost of the two stores to be equal
what are the missing blanks?
Answer:
1 - 3 (1 quarter is 25 and a dime is 10, so, 3.)
4 - 10
6 - 15
14 - 33
Step-by-step explanation:
find the area of the polygon
Answer:
784m^2
Step-by-step explanation:
is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of the rectangle (b * h).
40 * 20 = 800m ^ 2, then we find the area of the right triangle
1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.
we remove the area of the triangle from the rectangle and we have the area of the figure: 800 - 16 = 784m^2
The vertices of ATM are A(3,-1), T(1,5) and M(-1,2). Find the slope of the altitude
from T to AM.
Answer: 4/3
Step-by-step explanation:
Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t rodney owes $1,541.05 on his credit card. his card has an apr of 16.29%, compounded monthly. assuming that he makes no payments and no purchases, how much will he owe after one year? a. $1,561.97 b. $1,811.70 c. $1,792.09 d. $1,541.05 please select the best answer from the choices provided a b c d
The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Rodney owes $1,541.05 on his credit card.
His card has an APR of 16.29%, compounded monthly.
Assuming that he makes no payments and no purchases.
He owes after one year will be
Amount = 1541.05 × 1.1629
Amount = 1792.087 ≅ 1792.09
More about the percentage link is given below.
https://brainly.com/question/8011401
In class VIII, there are 140 students. The ratio of boys to girls is 4:3. a) Find number of girls. b) Find number of boys.
Answer:
A) 60 girls B)80 boys
Step-by-step explanation:
Pretend that the ratio is a fraction. If there are 4 boys for every 4 girls, than pretend that you add the 4 and the 3 together, thus giving you 7 as your denominator. Start with the girls, giving you a fraction of 3/7, multiply by 140, you get 60 as the number of girls. 140-60=80, giving you 80 boys.
Observe the pattern 5,9,13, 17. In this number pattern, find the algebraic expression ?
help me!!! please
and explain me please!!!
Answer:
+ 4
Step-by-step explanation:
The pattern of the expression is +4 as you see it goes 5 to 9
5 + 4=9
And if i'm correct the number after 9 will be 13 and it is
9 + 4=13
next it will be a 17 because 13 + 4=17
The next following numbers of the pattern will be 21 25 29 33 37 41 45
Hope it helps have a great day:)
Solve this equation, Please!
10m=25
Will try to mark the brainliest!
Answer:
5/2
Step-by-step explanation:
Divide both sides by the same factor then simplify
Answer:
m=2.5
Step-by-step explanation:
10m=25
m=25/10
m=5/2
m=2.5
A-b =56
A:b is equal to 9:2
Answer:
A = 72
B = 16
Step-by-step explanation:
Ratio problems can often be worked by considering them in terms of "ratio units." Here, the difference in ratio units is 9-2 = 7. The difference between the actual numbers is A -B = 56. This means each ratio unit stands for an actual number value of 56/7 = 8
Then the ratio of actual values is ...
A : B = (9·8) : (2·8) = 72 : 16
Check: These actual values of A and B have a difference of 72-16 = 56.
(A, B) = (72, 16)
what is x of the rectangle?
Answer:
x = 8
Step-by-step explanation:
Since this is a rectangle, we know that each corner's angle is 90 degrees. (The box thing at the bottom right shows this.)
Since the two angles that make up angle E sum up to 90, we can make an equation:
(9x - 6) + (2x + 8) = 90
11x + 2 = 90
11x = 88
x = 8
40 is 1/10 of 400 please help me
Answer:
True statement
Step-by-step explanation:
400/10 = 40
so we can say the 40 is a tenth 400
Eemil is training for a marathon. The ratio of the number of minutes to the number of miles they run is 30 to 3. At this rate, how many minutes will it take Eemil to run the race (26.2 miles)?
James has 858 feet of rope. There are 18 teams of hikers.
If James gives an equal amount of rope to each team, how much rope will each team receive?
The answer is a fraction. also simplify
Answer:
48 or 47
Step-by-step explanation:
858/18 = 47.6
A washing machine costs 1,230. You catch the item on sale and save $369. What percent did you save on the washer
Answer:
so we have to find what percentage 369 is of 1230
369/1230=0.3
so they save 0.7 or 70%
Hope This Helps!!!
Answer:
Step-by-step explanation:
1,230/569= 3.3 or 87-89%
Eric is keeping track of rain water. On Monday it rained 1 3/4cm. On Tuesday it rained 2 1/8cm. How much more did it rain on Tuesday than on Monday
Answer:
It rained 3/8 cm more on Tuesday than Monday.
Step-by-step explanation:
What I first did is convert the fraction 3/4 into 6/8 (multiply both sides by two) so I could get a common numerator to solve the two fractions. Then, I gave one whole from the 2 wholes in 2 1/8 to 1/8 to make it easy to subtract with 6/8 (I wuldn't like to do 1/8-6-/8) and made it into 9/8. Then it's simple subtraction (oh yes and don't forget to turn the 2 into 1 since it lost a whole) and voila! 3/8 cm
5 people build 3 huts in 21 days . Find the number of people that will build 6 huts in 15 days ?
3 huts are built by 5 people in 21 days.
So 1 hut is built by 5 people in 7 days.
That is to say, 1 hut requires 5*7 = 35 man-days.
Which means 6 huts need 6*35 = 210 man-days.
If the time available is 15 days, 6 huts will need 210 man-days/15 days = 14 people.
Answer = 14 people.
Brianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0. 2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural? 3. 6 inches 18. 2 inches 60 inches 90 inches.
i need more info cmon man
Step-by-step explanation:
ur mom
A race is 7/10 kilometers long. Ryan ran 9 of these races. How far did he run altogether?
Answer:6 and 3/10 kilometers
step-by-step explanation:
7/10 times 9 = 63/10
6 and 3/10 kilometer
Answer:
6 and 3/10 kilometers
Step-by-step explanation:
hope this help'<'
Rs 515 is divided between Sangeetha and Manish in the ratio 4 :1
( i) Find the amount Sangeetha gets
(ii) Find the amount Manish gets
(iii ) Sangeetha’s share is more than Manish by
Sangeetha got Rs. 412, Manish got Rs. 103 and the difference is Rs. 309
Data;
Ratio = 4:1Amount shared = 515The amount Sangeetha gotTo calculated the amount Sangeetha got, let's solve the ratio
[tex]4 + 1 = 5\\\frac{4}{5} * 515 = 412[/tex]
Sangeetha got Rs 412.
The amount Manish gotTo calculate the amount Manish got we can either subtract 412 from 515 or we find 1/5 of 515
[tex]\frac{1}{5} * 515 = 103[/tex]
Difference in the amountThe difference in the amount is calculated by subtracting 412 from 103
[tex]412 - 103 = 309[/tex]
Learn more on ratios here;
https://brainly.com/question/1781657
Please answer with steps
question down below
Answer:
n = 6 probably
Step-by-step explanation:
10 + I 10n + 6 I+ = 76
since " I I " means it will always be positive we can kinda just ignore it
10 + 10n + 6 = 76
16 + 10n = 76
10n = 76 - 16
10n = 60
n = 6
whats the solution to 5x+2y=8
Answer:
Not possible.
Step-by-step explanation:
We would need another equation to solve this problem as we have 2 variables.
Using the Pythagorean Theorem What is the length of side a when b=24 and
c=262
Answer:
261
Step-by-step explanation:
a²+b² = c²
Given, a = ?
b = 24
c = 262
a² = c² - b²
a²= 262² - 24²
a² = 68644 - 576
a² = 68068
a = √68068
∴ a= 260.89844
can be said as 261
Verify that - (-x) = r for
(1). x =2/15
(2).x=-13/17
Answer:
1.-(-2/15)=2/15
2.-(-13/17)=13/17
Step-by-step explanation:
The diagram shows a square pizza box with side lengths of 14 inches. In the box is a circular pizza with a radius of 6 inches. What is the difference between the area of box and the pizza?
Answer:
18cm
Explanation
2πr
2×22/7×6=38cm
4l=14×4=56
The difference=56-38=18cm
22% as a fraction in it lower form
Answer:
11/50
Step-by-step explanation:
22% = 22/100 = 11/50
11/50 cannot be reduced further.
Question is is in the picture
Answer:
$5 per person
Step-by-step explanation:
3 people. 5 dollars each. 15 dollar admission. 3x5 is 15
The scatterplot shows the height in centimeters and weight in kilograms of several students. Student Weight and Height, Height, centimeters, weight, kilograms Based on the scatterplot, which is the best prediction of the height in centimeters of a student with a weight of 64 kilograms?
The scatterplot shows that the prediction of the height in centimeters of a student with a weight of 64 kilograms is 156cm.
What is a scatterplot?It should be noted that a scatterplot simply means a type of data display which shows the relationship between two numerical variables.
From the complete question, the prediction of the height in centimeters of a student with a weight of 64 kilograms is 156cm. This was illustrated in the scatterplot.
Learn more about scatterplot on:
https://brainly.com/question/6592115
how do you find the height of a cylinder?
Answer:
[tex]H = \frac{V}{\pi r^{2} }[/tex]
Step-by-step explanation:
So long as you have the volume and radius of a cylinder, it should be easy!
Simply divide the volume (V) of the cylinder by Pi Radius Squared ([tex]\pi r^{2}[/tex]).
That is the formula for finding the height of a cylinder!
I hope this helped!