Answer:
4C2 * 6C2 * 5C2
Step-by-step explanation:
White balls = 4
Yellow balls = 6
Red balls = 5
In other to select a total of 6 balls, of which there must be 2 balls each of color white, yellow and red :
That means :
2 red balls from 5 red balls = 5C2
2 balls for 6 yellow balls = 6C2
2 balls from 4 white balls = 4C2
To obtain the number of possible combinations, take the product of the three combinations :
4C2 * 6C2 * 5C2
If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways
What are permutation and combination?permutation is way of selecting and arranging things while combination is way of selecting things .
Given that bag contains 4 white balls, 6 yellow balls, and 5 red balls
we have to select 6 balls
it's given that there must be 2 balls of each color
So here's how we can select them
2 white balls ,2 yellow balls and 2 red balls
So we have to select 2 white balls out of 4 white balls ,2 yellow balls out of 6 yellow balls and 2 red balls out of 5 red balls
so number of ways of selecting
[tex]{4 \choose 2} \times {6 \choose 2}\times {5 \choose 2}[/tex]
[tex]=6\times15\times10\\\\=900[/tex]
If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways
To learn more about combination visit : https://brainly.com/question/25821700
he stemplot shows the number of minutes it took students to complete their homework.
A stemplot titled Minutes to Complete Homework. The values are 0, 5, 10, 10, 15, 15, 18, 20, 25, 26, 32, 35, 37, 38, 40, 43, 45, 45, 45, 48, 49, 51, 53, 53, 53, 53, 55, 60, 60, 60.
How many students took more than 45 minutes to complete their homework?
There are
students who took more than 45 minutes to complete their homework.
Answer:
11 students :)
Step-by-step explanation:
That should be correct if I'm wrong just ignore this.
The number of students who took more than 45 minutes to complete their homework is 11.
What is a stemplot?A stem-and-leaf display, also known as a stem-and-leaf plot, is a technique used to visualize the shape of distribution by displaying quantitative data in a graphical fashion, similar to a histogram.
For the given stemplot the number of students who took more than 45 minutes to complete their homework can be calculated by counting the number of observations that are more than 45.
Therefore, the observations that are more than 45 are 48, 49, 51, 53, 53, 53, 53, 55, 60, 60, and 60.
Hence, the number of students who took more than 45 minutes to complete their homework is 11.
Learn more about Stemplot here:
https://brainly.com/question/9125085
#SPJ2
Match each equation to one of the two tape diagrams.
1. x+3=9
2. 3•x=9
3. x=9-3
4. x=9➗3
5. x+x+x=9
6. 9=3+x
Answer:
b
Step-by-step explanation:
A:B B:A C:A D:B E:B F:A G:A
Step-by-step explanation:
A company makes storage containers with sheet steel walls. The containers are shaped like rectangular prisms, as shown below. If the company has a total of 944m2 of sheet steel available, how many storage containers can be made?
Answer:
(0.2)+(-8)=0.3+-3+0.3m
Step-by-step explanation:
a frend showed me
A Machine takes 3.4 hours to make a parts at that rate how many parts can a machine make in 34 hours
Answer:
80
Step-by-step explanation:
3.4 divided by 8 equals 0.425
34 divided by 0.425 equals 80
Answer:
10
Step-by-step explanation:
34÷3.4= 10
Suppose that triangle ABC is determined by AC - 5,3), B(0, 3), and C(0, 1). Graph the given points
in the rectangular coordinate system. Compute the area of triangle ABC. Enter your answer as an integer
or a reduced fraction.
Step-by-step explanation:
A man takes an interest free loan of Rs. 1740 from his friend agreeing to repay in monthly installments. he gives Rs. 200 in the first months and diminishes his monthly installments by Rs. 10 each month. how many months will it take to repay the loan?
What is the volume of this object?
Answer:
[tex] \frac{8}{25 } [/tex]
8/25 m³
Step-by-step explanation:
each cubic is 8/125 m³ because 2/5 * 2/5 * 2/5 = 8/125 m³
and there is 5 cubic in this object 5*8/125 = 8/25 m³
Hunter assumed he would only get 54
problems correct on his test, but he
actually got 78 correct. What was his
percent error?
Hint: Percent error = | Prediction - Actual
x 100
| Actual
Round to the nearest percent.
[ ? ]%
Answer:
Percent error is 44.4%
Step-by-step explanation:
Here, we want to get the percent error
From the question, prediction is 54 while actual value is 78
from the formula given;
Percent error = |prediction-actual|/actual * 100%
so we have
|54-78|/54 * 100%
= 24/54 * 100% = 44.4%
- 7th Grade Work -
Aiden's class voted on whether or not to do science fair projects in groups. Out of 40 votes, 24 were in favor of working in groups. What percentage of the votes were in favor of working in groups
(5x^2+8x)+(x^2-5x+1)
(5x
2
+8x)+(x
2
−5x+1)
Answer:
6x^2 + 3x + 1
Step-by-step explanation:
( 5x^2 + 8x ) + ( x^2 - 5x + 1 )
= 5x^2 + x^2 + 8x - 5x + 1
= 6x^2 + 3x + 1
Find the area of the compound figure
Answer:
62 m²
Step-by-step explanation:
6 × 7 + 5 × 4 = 62 m²
Answer:
62m squared
Step-by-step explanation:
6*2=12
10*5=50
50+12=62m squared
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 19)(0,19) and (3, 9728)(3,9728).
Answer:
y = 19*(8)^x
Step-by-step explanation:
We want to write an equation like:
y = a*b^x
That goes through the points (0, 19) and (3, 9728)
Then, when x = 0, we must have y = 19
Replacing those values in the equation we get:
19 = a*b^0 = a*1 = a
19 = a
Then the equation is:
y = 19*b^x
We also know that when x = 3, y = 9728
If we replace these values in the equation, we get:
9728 = 19*(b)^3
Let's solve this for b.
9728/19 = b^3
512 = b^3
∛512 = b = 8
Then the equation is:
y = 19*(8)^x
multiply by 4, then divide by 2 First term: 60
plz help emergency!!!!!!!
Answer:
What
Step-by-step explanation:
1) Hank is looking to sell his motorcycle. He compiles these prices from the newspaper for bikes just like his
$2,000; $ 16,900; $15,100; $14,500; and $17,000. Is it more reasonable for Hank to use the mean or the
median to get a reasonable estimated price for his bike?
Answer:
The median
Step-by-step explanation:
If you look at the sample section of the 5 different prices, you can see that $2,000 is very far away from the rest of the prices, which range from $14,000 to $17,000. This $2,000 is an outlier, and is likely not accurate in predicting reasonable prices for Hank's bike, so it should not be a factor in his decision or contribute to the mean value.
Find the total force on a piston of diameter 3.25 in., if the pressure (P) exerted on it is 150 lb/sq.In. Use 3.14 for and round to the nearest 50 lbs.
Answer:
1244 Ibf(Pounds force)
Step-by-step explanation:
The formula for Total force on a piston when given the diameter of the bore area =
F = P × π × d²/4
P = 150 lb/sq.In
π = 3.14
d = 3.25 in
Hence,
F = 150 lb/sq.In × 3.14 × 3.25 in /4
= 4974.9375 ÷ 4
= 1243.734375 Ibf(Pounds force)
Approximately = 1244 Ibf(Pounds force)
4/5 divided by 1/3 ??
Answer:
2.4
Step-by-step explanation:
Directions attatched
Answer:
x=7∠GBD=112∠EFC=112Step-by-step explanation:
Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.
--------------------------------------------------------------------------
Given
∠GBD=4x+84
∠EFC=16x
m∠GBD=m∠EFC
Solve
4x+84=16x ⇔ Given
4x+84-4x=16x-4x ⇔ Subtract 4x on both sides
84=12x ⇔ Simplify
84/12=12x/12 ⇔ Divide 12 on both sides
x=7 ⇔ Simplify
Substitute the x value into each angle expression
∠GBD=4x+84=4(7)+84=28+84=112
∠EFC=16x=16(7)=112
Hope this helps!! :)
Please let me know if you have any questions
A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters? F 192 cm2 G 128 cm2 H 152 cm2 J 144 cm
A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters? F 192 cm2 G 128 cm2 H 152 cm2 J 144 cm
Answer:
G
The lateral surface area of the triangular prism is 128 square centimeters. The correct answer would be an option (G) 128 cm².
What is the triangular prism?A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides.
As per the question, we have dimension are:
side legth of base = 6 cm, 5 cm, and 5 cm
height = 8 cm
Lateral surface area = (a+b+c)h
Substitute the values and we get
Lateral surface area = (6+5+5)8
Lateral surface area = 16 × 8
Lateral surface area = 128 cm².
Hence, the lateral surface area of the triangular prism is 128 square centimeters.
To learn more about triangular prism click here:
brainly.com/question/3666603
#SPJ6
The missing figure has been attached below.
Which of these functions has a y-intercept that is greater than that of the linear function represented by the table of values below, and why? ANSWER PLEASE
x- 2,4,6,7,9
y-9,13,17,19,23 (TABLE)
Answer choices:
A
y=x+9, because the y-intercept of the function represented by the table of values is 2
B
y=x+9, because the y-intercept of the function represented by the table of values is 5
C
y=8x+1, because the y-intercept of the function represented by the table of values is 2
D
y=8x+1, because the y-intercept of the function represented by the table of values is 5
Th y intercept of the table is:
(23-9)/(9-2)= 14/7=2
The answer is:
A
y=x+9, because the y-intercept of the function represented by the table of values is 2
Evaluate the expression for u = –8 and v = 2.
uv − u
Answer:
- 8
Step-by-step explanation:
- 8 × 2 - (- 8)
- 8 × 2 + 8
- 16 + 8
- 8
Answer:
-8 i think
Step-by-step explanation:
-8 * 2 + 8
-16 + 8
-8
Stephanie and 2 friends went to Vancouver for a winter weekend. Stephanie made 7 cups of apple cider. Everyone, including, Stephanie, wants an equal amount of all the apple cider.
Answer:
2 1/3 cups of apple cider
Step-by-step explanation:
You have a bag of 12 marbles, 5 red, 3 green, 2 yellow & 2 orange. What is the P( red, then orange) WITHOUT replacing the first marble? Write your answer as a DECIMAL rounded to the nearest hundredth.
Answer:
Total number of marbles = 12
P (1 red & 1 orange) =
[tex] \frac{1 + 1}{12} \\ = \frac{2}{12} \\ = \frac{1}{6} \\ = 0.16[/tex]
Answer:solution given:
total no of marbles [S]=12
total no of red marbles[R]=5
total no of green marbles[G]=3
total no of yellow marbles[Y]=2
total no of orange marbles[O]=2
now
the P( red, then orange) n[p]=?
we have
n[p]=[tex] \frac{n[R]+n[O]}{n[S]} [/tex]
n[p]=[tex] \frac{5+2}{12} [/tex]
n[p]=[tex] \frac{7}{12} [/tex]
the P( red, then orange) n[p]=[tex] \frac{7}{12} [/tex]
Find the value of x.
Answer:
x=14 units
Step-by-step explanation:
6 in.
9 in.
What is the area of Mona's tablet screen? Enter the answer in the box.
Can someone tell me the answers I need help
Answer:
Step-by-step explanation:
Which inequality is equivalent to X-419? 0-9>x-4< 9 0-9 -9 or x-4< 9
Apply the absolute rule:
If |u| <a, a>0 then -a <u < a
|x-4| <9
-9 < x-4 < 9
The correct answer is the second one.
slopeeeee is soo hardddd brehh
Answer:
Its C
Step-by-step explanation:
Answer:
C. 3
Step-by-step explanation:
First I'll solve y + 1 = 3x - 12 for y.
y + 1 = 3x - 12 All you need to do for this first part is subtract 1 from both sides.
y = 3x - 12 - 1
y = 3x - 13
I'll use the point for x being 6, and x being 12.
3(6) - 13
18 - 13
5
y is 5 when x is 6. (6, 5)
3(12) - 13
36 - 12
y is 23 when x is 12. (12, 23)
The formula for slope is y2-y1/x2-x1
(23 - 5)/(12 - 6) Subtract 5 from 13, and then subtract 6 from 12.
18/6 Divide 18 by 6.
3
The slope to the line y + 1 = 3(x - 4) is 3, which is C.
Please solve this problem for me, and I will give you a brainlest!!!
Also I will give you 21 points!!!
Answer:
i d k thats a tuff question
Step-by-step explanation:
Identify the slope and y-intercept of the graph of the equation.
Answer:
y = 1/3x - 2
Slope = 1/3
y- intercept = -2
Step-by-step explanation:
To find the slope and y-intercept, first put the equation in y = mx + b format, Where m is your slope and b is your y-intercept.
Step one: Subtract x from both sides
To translate x over to the right side of the equation, subtract x from both sides, leaving you with this equation:
x - x -3y = -x + 6; which simplifies to:
-3y = -x + 6
Step Two: Divide Every Term By Negative 3
To get y alone by itself we need to cancel out -3 on the right side of the equation, to do that you must divide every term by negative 3 leaving you with this equation:
[tex]\frac{-3}{-3}[/tex]y = [tex]\frac{-1}{-3}[/tex]x + [tex]\frac{6}{-3}[/tex]; which simplifies to:
y = 1/3x - 2
M, slope, = 1/3
B, y-intercept, = -2
You put $250 into a savings account that earns
3.25% interest compounded quarterly.
Compount interest formula
Answer:
A=P(l +r/n)nt
Step-by-step explanation:
a, final amount
p, initial
r, interest
n, number of interest per period
t, time
How do I calculate the area
Answer:
9cm2
Step-by-step explanation:
length of two sides: 3
3 x 3 = 9
Since a square has equal lengths you know for sure that it's 3 on each of the sides since all sides are equal in a square and all sides have 3.
To get an area multiply the two different or same given lengths.
When it gives you one given length in a square know that all sides are equal so you multiply the given length by 2 times.
Answer:
9 cm squared
Step-by-step explanation:
The question asks us to find the area, and the way to find the area is in this formula:
length x width = area
Now we just have to find the length and the width of the square and multiply it to find the area.
If you count two non parallel sides, they both are 3 centimeters. So, we just have to plug that in into the formula:
3 (Length) x 3 (Width) = 9 (area)
So, 9 cm squared is our answer :)
