[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]
A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box without replacement. What is the probability that exactly 2 are white and 2 are red
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
What will be the height of the triangle, if its area is 105 m 2 and the base is 15 m?
Answer:
14 mStep-by-step explanation:
Given,
Area of the triangle
[tex] = {105m}^{2} [/tex]
Base of the triangle
= 15m
Let,
Height of the the triangle be h
Therefore,
By the problem,
[tex] = > \frac{1}{2} \times base \times height = 105[/tex]
(On putting values)[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]
(On putting the known values on one side)[tex] = > h = \frac{105 \times 2}{15} [/tex]
(On Simplification)=> h = 7 × 2
(On multiplying)=> h = 14m
Hence,
The req. height of the triangle is 14 m (Ans)
Answer:
The answer is 14 m.
Step-by-step explanation:
Area = [tex]105^{2}[/tex]
Base = 15 m.
Height = ?
The formula for finding the area of triangle is
[tex]A = \frac{h_{b}b}{2}[/tex]
Put the values in the formula
[tex]105 = \frac{h_{b}15 }{2}[/tex]
Use MPE or Multiplication Property of Equality
210 = 15[tex]h_{b}[/tex]
Now use DPE or Division Property of Equality
[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]
14 = [tex]h_{b}[/tex]
The height of the triangle is 14 m.
To check, multiply the height and base to get the area.
14 * 15 = 105 [tex]m^{2}[/tex]
The area of the hexagon pictured above is ___ units2. Round answer
to the hundredths.
Answer:
The formula for the area of a hexagon is Area = (3√3 s2)/2; where 's' is the length of one side of the regular hexagon. The formula for the area of a hexagon can also be given in terms of the apothem as, Area of hexagon = (1/2) × a × P; where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.
6 friends paid for a parking ticket each. Each ticket had a surcharge extra of $11 per ticket. The total they paid for their parking was $186. What was the price of each ticket without the surcharge?
Answer:
$20
Step-by-step explanation:
Money paid with surcharge by 6 friends = $ 186
Money paid with surcharge by a friend = 186 ÷ 6 = $ 31
Money paid by each friend without surcharge = 31 - 11 = $ 20
Graph the following
1. f(x) = 2x² + 2
2. f(x) = 5x²+ 20x-1
Answer:
Step-by-step explanation:
Use DESMOS. See attached.
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
Answer:
X = 2
equation x [tex]\leq[/tex] 2
Step-by-step explanation:
You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]
You do this because if you multiply 2*2x and 2*1 you will get 4x+2
Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]
So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like [tex]2(2x+1)\leq 10[/tex]
So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]
you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5. [tex]2x+1\leq 5[/tex]
Now you subtract one from both sides [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]
you'll get 2x=4
divide both sides by 2 to get x=2
To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]
[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]
since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation
5/15 = n/9 someone help me (proportions)
Answer:
n = 3
Step-by-step explanation:
[tex]\frac{5}{15} = \frac{n}{9}[/tex]
Cross multiply
15n = 45
Divide
15n/15 = 45/15
n = 3
Trevor has a collection of 600 dinosaur trading cards. If he has 60 pages in an album, how many cards can Trevor put on each page?
1
4
10
4
Answer:
10
Step-by-step explanation:
600 divided by 60 is 10
In a 30 minute show 12 minutes of airtime are spent on commercials. Determine what percent of the television show air time is spent on commercial
Let P be between M and N use the segment addition postulate to solve for X
Step-by-step explanation:
given,
MP = x - 8
PN = 3x - 9
MN = 21
we know,
according to segment addition postulate AB + BC = AC
now,
MP + PN = MN
→ x - 8 + 3x - 9 = 21
→ 4x - 17 = 21
→ 4x = 21 + 17
→ 4x = 38
→ x = 38/4 = 9
→ x = 9
therefore, value of x is 9.
hope this answer helps you dear! take care
brainlyyyyyyyy just helppppppppppppppppppppppppppppppppppppppppppp
50
If 10 is 20% of a number, we can multiply it by 5 to get the original number.
So 10 * 5 = 50, and 20% of 50 is 10.
I hope this helps! :)
What is the Slope of the line that passes through points (4, -2) and (3, 1)?
Answer:
-3
Step-by-step explanation:
slope formula is y2-y1 over x2-x1
if we plug in the values and solve, that gets you -3.
Answer:
-3
Explanation:
1-(-2) divided by 3-4
pLS HELP ME 15 points in total
Answer:
Its 53 because 1=1 and 2=2
Step-by-step explanation:
Can someone help me?
Answer:
CD = 32 units
Step-by-step explanation:
The midpoint divides the segment into congruent parts:
CM = MD
8(x -2) = 4(5x -16)
2(x -2) = 5x -16 . . . . . . divide by 4
2x -4 = 5x -16 . . . . . . . eliminate parentheses
12 = 3x . . . . . . . . . . . . . add 16-2x to both sides
4 = x . . . . . . . . . . . . . . . divide by 3
Then the segment measures are ...
CM = 8(x -2) = 8(4 -2) = 16
CD is twice that length. CD = 32 units.
_____
Additional comment
There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...
8x -16 = 20x -64
Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.
Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."
Faz a continha de 86496÷6 pra hoje pfvr
Answer:
14416
Step-by-step explanation:
youre welcome
Answer:
14416
Step-by-step explanation:
check the steps for answers
Which is the equation of a line that is parallel to the line y= -1/3x + 1
A.y= -1/3x + 1
B.y= 3x - 2
C.y= -1/3x + 2
D.y= 1/3x + 1
Which of the following correct shows the next two
terms after -40 in the pattern?
Answer:
I believe the answer is B. 80, -160
Step-by-step explanation:
The pattern involves multipling by -2 so the term after that would be 320!
how do you solve this I'm on a time crunch
Answer:
19.59≈20
Step-by-step explanation:
Have a nice day
Using Pythagoras Theorem we can find the 3rd side of a right angled triangle.
Steps are there in the image I attached.
Hope it helps you...
Please mark as Brainlliest!!!
What is
-3/10 + 3/10 =
Answer:
-3/10+ 3/10
lcm=10
-3+3
______
10
=0/10 = 0
Answer:
-6/10
Step-by-step explanation:
hope it helps
I need help i have no clue what to do!
Answer:
-2x-6y= -14 (i)
-6x-2y= -26 (ii)
Multiply eq (i) by 3
-6x-18y= -42 (iii)
-6x-2y= -26 (ii)
Subtract eq (iii) from ii
-6x -18y = -42
+6x+2y = +26
_______________
0 - 16y = -16
●y= 1
Put y =1 in eq 1
-2x -6 (1) = -14
-2x = -14 + 6
-2x = -8
●x =4
x=4 y=1
BRAINLIST PLS
Sprinters who run 100 yards now often run 100 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
Enter the correct answer in the box.
Answer:
100 meters is 8.6 meters longer than 100 yards.
Step-by-step explanation:
Conversion of yards to meters.
Each yard has 0.914 meters.
So 100 yards is 100*0.9144 = 91.4 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
100 yards = 91.4 meters
100 - 91.4 = 8.6
So 100 meters is 8.6 meters longer than 100 yards.
Happy late Thanksgiving!!!
Answer:
You too!!
Step-by-step explanation:
Determine whether the following ratios are equivalent. (9:12 and 24:18)
0111100109090909099999999999999999
Is that the right answer plzzz help mee
Answer:
You are correct
What is 45.5% in simplest form?
Answer: 45.5/100 = 455/1000
Step-by-step explanation:
Step-by-step explanation:
45.5% in its simplest form is
[tex] \frac{91}{2} [/tex]
but 45.5% =
[tex] \frac{91}{2} \ \times 100 = \frac{91}{200} [/tex]
Find the perimeter. Simplify your answer.
Answer:
3z+13
Step-by-step explanation:
Perimeter is found by adding all the sides
z+2+z+2+z+9
3 z variables 2+2+9=13
Simplified equals
3z+13
Hope this helps!
Please mark this answer as brainiest :)
Answer:
Step-by-step explanation:
z+2 + z + 2 + z + 9 = Perimeter Collect like terms
3z + 13 = Perimeter
The box plots below show the average daily temperatures in January and December for a US city:
January
TH
December
What can you tell about the means for these two months (1 point)
Answer:
like i said no graph i cant help
Step-by-step explanation:
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY NOOOO SCAMS
Answer:
8
Step-by-step explanation:
Ik it is cus ik my number lines
PLS MARK ME BRAINLIEST
Answer:
I think it's 8 I'm not sure
What is the measure of angle 1 in the diagram 42 30 1 2
Answer:
The answer is no doubt about it
Simplify the following expression.
-3m + (-2x) + 4m + 2x
Answer:
[tex]m[/tex]
Step-by-step explanation:
Combine like terms
[tex]-3m+(-2x)+4m+2x[/tex]
[tex](-3m+4m)+(-2x+2x)[/tex]
[tex](1m)+(0)[/tex]
[tex]m[/tex]
Answer:
m
Step-by-step explanation:
Simplify like-terms first:
-3m + (-2x) + 4m + 2x
m + (-2x) + 2x
Both x's cancel each other out, so you're left with:
m