Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls. What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Answer:
1/4
Step-by-step explanation:
16.66 2/12 invert to decimal
8.33. 1/12 invert into decimal
24.99 adding them up
25/100 = 1/4 round them up then simplify if possible
The probability that he catches 2 red balls and 1 ball of each of the other colors is 150/792.
Given that, total number of balls=12, red number of balls =3, green number of balls=3, blue number of balls =3 and white number of balls =3.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here, C(n,r)= n!/r!(n-r)!
Now, C(12, 5)= 12!/5!(12-5)!
= 12!/5!(7)!
= (12×11×10×9×8×7!)/(5×4×3×2×1)×7!
= 3×11×2×3×4
= 792
Now, C(5, 2)= 5!/2!(5-2)!
= 5!/2!(3)!
= 10
Now, C(5, 1)= 5!/1!(5-1)!
= 5
So, he catches 2 red balls and 1 ball of each of the other colors
= 10×5×3
= 150
The probability of an event = 150/792
Therefore, the probability that he catches 2 red balls and 1 ball of each of the other colors is 150/792.
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x² - 46+17+2, IF THE VALUE OF X is 7
Answer:
22
Step-by-step explanation:
Question 4! Need help
inverse of the letter a
Answer:
We have the function f(x) = 2x + 3
the processes which take place in this function are
we take x [x]
we multiply it by 2 [2x]
we add 3 to it [2x + 3]
To get the inverse of this function, we will do exactly the opposite of it
we will take the output of the initial function [y]
we will subtract 3 from it [y-3]
we will divide it by 2 [(y-3)/2]
We get the function:
[tex]f^{-1}[/tex](y) = (y-3) / 2
Inverse functions are used to get the initial value used in the function bu using the output of the function
[tex]f^{-1}[/tex](0) = (0-3)/2
[tex]f^{-1}[/tex](0) = -3/2
Therefore, the input of the function is -3/2 when the output is 0
A video game displays 108 frames in 4 seconds on Penelope's computer. What is the rate in frames per second?
Answer:
27 frames per second
Step-by-step explanation:
108 ÷ 4 = 27
Answer:
108 ÷ 4 = 27
27 frames per second
what kind of teaching and learning materials that teacher can used to teach binary operations
Answer:
Most significant digit. That's the same that it's called for any number system.
Step-by-step explanation:
how many pence are there in twenty three pounds
Answer:
2300 pence
Step-by-step explanation:
1 pound = 100 pence
To calculate how many pence in 23 pounds, multiply 23 by 100:
⇒ £23 = 23 × 100 p = 2300 pence
Find the area of the triangle.
Answer:
first multiply 19ft by 14
and you will get 166
The height of an adult giraffe is 3 times the height of a newborn
giraffe. Given n, the height of a newborn giraffe, write an equation that can
be used to find a, the height of an adult giraffe.
Answer:
3n
Step-by-step explanation:
the adult giraffes height is 3 times the height of the newborn. n is the height of the newborn. so in algebraic quotation 3 times n is written as 3n.
Bridget, Cassie, and Hannah are discussing the results of their last math test. Hannah shows Bridget and Cassie her test, but Bridget and Cassie don't show theirs to anyone. Cassie says, 'I didn't get the lowest score in our class,' and Bridget adds, 'I didn't get the highest score.' What is the ranking of the three girls from highest to lowest?
Answer:
Based on this I would say Cassie got the highest, then Hannah, then Bridget.
Step-by-step explanation:
Cassie saying that she didn’t get the lowest means that her’s is higher than Hannah’s. The Bridget saying that she didn’t get the highest probably means she got lower than Hannah.
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《Answer》
If Hannah did better than Cassie, there would be no way she could know for sure that she didn't get the lowest score in the class. Therefore, Hannah did worse than Cassie. Similarly, if Hannah did worse than Bridget, there is no way Bridget could have known that she didn't get the highest in the class. Therefore, Hannah did better than Bridget, so our order is
Cassie, Hannah, Bridget
hope the answer helps
can you give a thanks (or a brainllest, if u want to)
thank you
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three persons are entering a five storey building.they can go to first floor or second floor or third floor or fifth floor of the building.what is the probability that they will meet in one floor?
The probability that they will meet in one floor is 1/16.
What is the probability that they will meet in one floor?There are 3 people, and 4 possible floors.
Then the probability of going to a given floor is equal to 1 over the total number of floors:
p = 1/4.
So, let's assume that the first person goes to a given floor, for example, the second.
Then we need to find the probability that the second and third persons also go to that same floor, and it is 1/4 for each.
Then the total probability is the product of the individual probabilities:
P = (1/4)*(1/4) = 1/16.
So the probability that they will meet in one floor is 1/16.
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the length of a rectangle is 3 m longer than it’s width. if the perimeter of the rectangle is 58 m, find its length and width
Answer:
length is 16m
width is 13m
Step-by-step explanation:
width, w =?
length, l = 3+ w
perimeter =2(l+w)
58=2[(3+w) +w]
29=3+2w
26=2w
w=13
l= 16
If a system of equations has infinite solutions, what does the graph look like? Describe it in at least one complete sentence.
Answer:
Step-by-step explanation:
If a system of equations has infinite solutions, the graphs represented by the equations are exactly the same.
5,12, 19, ...
Find the 48th term.
The sequence 5,12, 19, ... is an arithmetic sequence
The 48th term is 334
How to determine the 48th term?The sequence is given as:
5,12, 19, ...
The above sequence is an arithmetic sequence with the following parameters:
First term (a) = 5
Common difference (d) = 7
The nth term of an arithmetic sequence is:
Tn = a + (n - 1) * d
So, we have:
T48 = 5 + (48 - 1) * 7
Evaluate
T48 = 334
Hence, the 48th term is 334
Read more about arithmetic sequence at:
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idk what to do I need help
Answer:
x = 8
Step-by-step explanation:
There are two ways of answering this:
1.)Supplementary Angles/Linear pair:
(5x- 15) + (20x - 5) = 180°
25x - 20 = 180
25x - 20 +20 = 180 + 20
25x = 200
x = 8
2.) Vertical angles theorem:
(5x - 15) = (3x + 1)
5x - 3x -15 + 15 = 3x - 3x + 1 +15
2x = 16
x = 8
If a certain number is added to both the numerator and denominator of the fraction 5/7, the result is 3/5
Find the
number.
Answer:
Let the number be x:
then
[tex](5+x)/(7+x)=3/5\\5(5+x)=3(7+x)\\25+5x=21+3x\\5x-3x=21-25\\2x=-4\\x=-2[/tex]
help me please i dont get it
Answer:
4. 95°
5. 38°
Step-by-step explanation:
4. 180-85=95.
5. 180-53=128
128-90= 38
The answer is 9, 18, 27, 36, 45. What is the question
Answer:
It appears the question would be, "what are multiples of 9"
Step-by-step explanation:
The sum of two numbers is -32. One number is 2 less than the other.
The numbers whose sum is negative 32 will be negative 15 and negative 17.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The sum of the two numbers is -32. One number is 2 less than the other.
Let the two numbers be x and y. Then the equation is given as,
x + y = - 32 ...1
x = y - 2 ...2
From equations 1 and 2, then the value of y will be
y - 2 + y = - 32
2y = - 30
y = - 15
Then the value of x will be given as,
x - 15 = - 32
x = - 17
The numbers whose sum is negative 32 will be negative 15 and negative 17.
More about the solution of the equation link is given below.
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1) Leo wants to open up a new business. He needs $120,000 to be able to start his business. How much does he need to invest at 7% simple interest in order to have a total of $120,000 in 6 years?
Answer:
$285714.2857
Step-by-step explanation:
120000/6= 20000 (One year of interest)
20000/0.07= 285714.2857
You ask 65 of your classmates if they have any siblings. Complete the two-way frequency table to show the results of the survey.
Answer:
155; 2535; 65Step-by-step explanation:
Fill in the missing values as below
The first row
40 - 25 = 15The second row
30 - 25 = 520 + 5 = 25The third row
15 + 20 = 3535 + 30 = 65 or 40 + 25 = 65A $102.00 item is marked down by 73%.
What is the new cost of the item??
$
Answer:
27.54
Step-by-step explanation:
73% can be considered 73/100
So,
73/100 x $102 = $74.46 is the amount of money marked down.
102 - 74.46 = $27.54
PLZZZZZZZZZZZZZZZ HURRYYYYYYYYYY!!!!!!!!!!!!!!!!!!!!!! plzzzzzzzzzzzzzzzzzzz A girl scout troop is selling cookies. on wednesday, the group set up their stand and sold 1/12 of their boxes in 15 minutes. At this rate how much of their cookies could they sell in one hour
which of the following is not a function
Answer:
Where is the question?
Step-by-step explanation:
Alice arrived at her soccer game at 3:58 p.m. It takes her 45 minutes to bike there. What time did she leave to go to the soccer game? (4 points)
a
3:13 p.m.
b
3:43 p.m.
c
4:13 p.m.
d
4:43 p.m.
Answer: She left at 3:13 pm
Step-by-step explanation:
Subtract 45 from 58 to get 13, therefore she left at 3:13
If A = {1, 2, 4, 7} and B = {3, 5, 6, 7}, then A ∩ B=
Answer:
the answer is (7) because 7is the only intersection
What is the equation of a line parallel to y=7x-8 that passes through (5, -2)?
Answer:
The required line is Parallel to y = 7x - 8
This means their slopes are equal
So m = 7
Now writing the equation of straight line,
[y - (-2)] = m(x - 5)
y + 2 = 7(x - 5)
y + 2 = 7x - 35
7x - y - 37 = 0
Hope This Helps Y
Exponential Function:
It is known that the concentration of anesthesia in human blood decreases exponentially according to the function [tex]f(x)=k* 0.95^{x}[/tex] , where K is the initial amount of anesthesia in milligrams and X is the time in minutes since its administration, how many milligrams of anesthesia are left in the patient's blood after hour and a half if it is known that 60 mg of anesthesia is initially administered?
Answer:
0.59 mgStep-by-step explanation:
Given Function f(x)= k*0.95^xTo findf(x) when x= 1.5 hours and k = 60mgSolution1.5 hours = 90 minf(90) = 60*0.95^90 = 0.59 mg roundedGiven,
f(x) = k * 0.95^xTo find ;
f(x) when x = 1•5hrs k = 60 mgNow,
1•5 hrs = 90minSo,
f(90)= 60*0.95^90= 0.59 mg The required answer is 0.59mg .The height of a triangle is 2 more than
four times its base. If the area of the
triangle is 21 square units, find the
length of the base of the triangle
Answer:
the length of base triangle is 42cm
Solve each equation.
2) 240 = 15n
Answer:
[tex]2)240 = 15n[/tex]
Answer:
n = 16
Step-by-step explanation:
240 = 15 n
solve using inverse operations
240 = 15n
/15 /15
16 = n