Answer:
a) there are 7,854,000 number of ways the random selections can be arranged
b) the required probability is 0.0445
Step-by-step explanation:
Given that;
you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;
Total = 12 + 6 + 17 = 35
a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;
⇒ [ 12 × [ 6 × [ 17
9 ] 4 ] 13 ]
= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))
= (220) (15) (2380)
= 7,854,000
Therefore there are 7,854,000 number of ways the random selections can be arranged
b)
Number of ways of selecting 25 item from 35 items;
⇒ [ 35
25 ]
=
(35! / (25! 10!) = 183.579,396
now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;
⇒ [ 12 × [ 6 × [ 17
10 ] 3 ] 12 ]
= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))
= (66) (20) (6188)
= 8,168,160
So, Required probability = 8,168,160 / 183,579,396
= 0.0445
So the required probability is 0.0445
Find the values of A, B, C, and D in this equation:
3x3 + 4x2 + 8x + 1
------------------------------
(x2 + x + 2)2 = Ax + B
(x2 + x + 2) + Cx + D
----------------------------
(x2 + x + 2)2
Yesterday morcia walked from home 3 km towards school plus half the distence to her school. At the end of the walk she arived at school.how far is her schoolo from her house?
Answer:
Step-by-step explanation:
3+1/2x=0
1/2x=-3
2(1/2)x=(-3)2
x=|-6|
x=6 km
I need help finding the answers to #8!
Answer:
8a Yes
8b f(5) = 1
8c (0, -0.5)
Step-by-step explanation:
8a
Yes, since it passes the vertical line test.
8b
f(5) = 1
8c
(0, -0.5)
What is the answer for 34-54x
Answer:
2(17-27x)
Step-by-step explanation:
Since the question was incomplete this is the only answer I have for you.
If you were looking for the answer of X I would need a answer for the equation
Anyways... you want to factor out 2 from the expression since there are two numbers
Once you factored out the two (divide each number by 2) you'll get:
2(17-27x)
Answer:
The answer is 34-54x because there are no like terms. 34 has no like terms and neither does 54x, so the answer is just 34-54x.
EASY 8TH GRADE MATH. 16 POINTS
Julie is 5 years older than Steve. The sum of their ages is 51. What are Julie and Steve's ages.
Answer:
steve is 23 and julie is 28
Step-by-step explanation:
51 - 5 = 46
46/2 = 23
steve is 23, but julie is 5 years older than him, so
23 + 5 = 28
28+23=51
hope this helps!!!
Answer: lol, I tried solving this but this is harder then what I had in 8th grade.
Step-by-step explanation:
Which shows the result of a correct substitution for the system y=2x+3 and 3x+2y=9?
Answer:
The result of the correct substitution gives:
x = 3/7 and y = 27/7
Step-by-step explanation:
From the given information:
y = 2x + 3 ---- (1)
3x + 2y = 9 ---- (2)
By using substitutional method
Substitute the value of y = 2x +3 into equation (2)
So,
3x + 2(2x + 3) = 9
3x + 4x + 6 = 9
7x = 9 - 6
7x = 3
x = 3/7
From equation (1), let replace the value of x to be 3/7
So,
y = 2x + 3
y = 2(3/7) + 3
y = 6/7 + 3
y = 27/7
Over the interval [0, 2π), what are the solutions to cos(2x) = cos(x)? Check all that apply.
0
StartFraction pi Over 3 EndFraction
StartFraction 2 pi Over 3 EndFraction
Pi
StartFraction 4 pi Over 3 EndFraction
StartFraction 5 pi Over 3 EndFraction
Answer:
Step-by-step explanation:
given the expression;
cos(2x) = cos(x)
According to trig identity;
cos(2x) = cos(x+x)
cos(2x) = cos x cos x - sinx sinx
cos(2x) = cos²(x)-sin²(x)
cos(2x) = cos²(x)-(1-cos²x)
cos(2x) = cos²(x)+cos²x-1
cos(2x) = 2cos²(x)-1
2cos²(x)-1 = cos(x)
let P = cosx
2P²-1 = P
2P²-P-1 = 0
Factorize;
2P²-2P+P-1 = 0
2P(P-1)+1(P-1) = 0
2P - 1 = 0 and P-1 = 0
P = 1/2 and 1
cosx = 1/2 and cos x = 1
x = arccos 1/2
x = π/3
Also;
x = arccos1
x = 0
Hence the value of x are 0 and π/3
Also the angle = π+ π/3 = 4π/3
The angles are 0, π/3 and 4π/3
Answer:
a,c,e
Step-by-step explanation:
2. This model represents an equation.
Х
Х
Х
-1 X -1
-1
-1
Х
Х
-1
-1
-1
(a) Write an equation that could be used to solve x.
(b) Solve the equation for x. Show your work.
Answer:
this cant be possible like what?
Step-by-step explanation:
if so i would say its =-1 bc everytime u times by -1 its gonna be the same. i dont get this sorry
Is there a proportional relationship between Category 1 and Category 2 in the table below?
Category 1 3
7 9
Category 2 15 20 25 30
9
A
Yes
B
No
Answer:
no
Step-by-step explanation:
HELPPPP
how many groups of 1 1/2 are there in 9 1/2
a: 6
b: 6 1/3
c: 7
d: 7 1/3
Answer:
B. 6 1/3
Step-by-step explanation:
What is the square root of 961
Answer:
31
Step-by-step explanation:
it is 31 because I have research it
Answer:
19
Step-by-step explanation:
how are you please follow back ok
which one is true about this ?
Answer:
b is the correct answer I think
Find the perimeter of the triangle formed by the points (1, 3), (4, 7) and (4, 3)
Find the distance between the points (1,8) and (7, 16).
Answer:
d=10
Step-by-step explanation:
Use the distance formula.
[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}\\\\\sqrt{(7-1)^2+(16-8)^2} \\\\\sqrt{(6)^2+(8)^2} \\\\\sqrt{36+64} \\\\\sqrt{100} \\\\d= 10[/tex]
What is 63 percent of 69
Answer:43.47
Step-by-step explanation: you have to mulitply 63 and 69 and you will get 43.47
Description
To calculate a percent of a number you must find the total amount or the whole number.
After that Divide the number that you wish to determine the percentage for
Then multiply the value from step two by 100.
In this case the answer will be 43.47
64 percent of 69 = 43.47
Answer: 43.47
Hope this helps
What is 248 divided by 3?
Answer:
82.6666666667 or just 82.67
Step-by-step explanation:
The value of 248 ÷ 3 equals 82.
To divide 248 by 3, we set up the division equation: 248 ÷ 3.
Starting with the first digit of 248, which is 2, we check how many times 3 can be divided evenly into 2. Since 3 is larger than 2, we move on to the next digit, 24.
Now, we divide 24 by 3, which gives us 8.
Next, we bring down the next digit, 8, making the current dividend 88.
We divide 88 by 3, resulting in a quotient of 29.
Since there are no more digits to bring down, the division is complete.
Therefore, 248 ÷ 3 equals 82.
Learn more about division here
http://brainly.com/question/231633
#SPJ6
between two points
context
(Application 4)
An archaeological dig is marked with a rectangular grid where each square is 4 feet on a side. An important artifact is discovered
at the point corresponding to (-45, 20) on the grid. How far is this from the control tent, which is at the point (5, 40)? Round to
the nearest tenth of a foot.
The distance between the artifact and the control tent, to the nearest tenth of a foot, is
approximately feet.
Find the size of one interior angle for regular decagon?
Answer: Regular Decagons: All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1440 degrees (from above) And there are ten angles...So, the measure of the angle of a regular decagon is 144 degrees.
PLEASE HELP ASAP!!! BRAINLIEST
Answer:
show the
Step-by-step explanation:
show the whole pic
Question: If two lines intersect, then the opposite angles formed at this intersect are congruent.
A.true
B.False
Answer:
B
Step-by-step explanation:
False
can u pls help me with this question asap
what is the constant proportionality of the picture
I will give the person that helps me 5 stars and they will be named brainliest
Answer:
3.5/1 (or just 3.5)
Step-by-step explanation:
If y = a/n, then the constant proportionality is 3.5/1 or 7/2
Think of this as "rise over run" (we are basically finding the slope)
Answer:
i don't know or care
Step-by-step explanation:
you didn't help me so :(
what is 3/4 divided by 1/6
0 3
0 4
0 4 1/12
0 4 1/2
Answer:
c
because i just did the test
please..............
Answer:
-1
Step-by-step explanation:
which of the following sets of numbers could represent the three sides of a right triangle?
Answer:
32 60 68
Step-by-step explanation:
These set of numbers are pythagorean triplets
using the formula a2+b2 =c2 with these numbers would give you an accurate relationship in a right angled triangle
X=UHB SOLVE FOR H.
SOMEONE HELP ME PLS I BEG YOU!!
Answer:
[tex]\frac{X}{UB} = H[/tex] is the answer.
Step-by-step explanation:
Since we are solving for H, we need to get rid of everything that isn't H.
X = UHB can also be shown as X = UBH
Divide by UB on both sides to equal to H.
[tex]\frac{X}{UB} = H[/tex]
This is your answer.
#teamtrees #WAP (Water And Plant)
A package of dried fruit weighs 1/2 of a pound. If one serving size is 1/8 of a pound, how many servings would be in the package?
Answer:
4
Step-by-step explanation:
1/2 / by 1/8 = 4.
1/8 * 4 =1/2.
PLEASE HELP ASAPPP!!!
Answer:
It looks like the answer is (-1 + 3).
Step-by-step explanation:
I am really sorry if this isn't what you are looking for.
Write "zero and eighty-two hundredths" as a decimal.
Answer:
0.82
Step-by-step explanation:
Answer:
0.82
Step-by-step explanation:
Solve the equation. Then check your solution.
1 1/4 = a + 3/8
a. 7/8
b. - 1/2
c. - 7/8
d. 1 5/8
Answer:
11/4=a+3/8
a=11/4-3/8
a=22-3/8
a=19/8
Company Holdings in Marks Brothers
Total number of shares: 78,000
USS Oil 8%
Harp Pensions 12%
Marks Family Trust 32%
PRH 19%
Live Fund 24%
Marks Brothers is paying a dividend of $56.25 on each share. How much will PRH
receive in dividends?
$14,820
$43,875
$83,363
$638,725
$833,625
Answer:
Amount of dividend that PRH will receive is $833,625.
Step-by-step explanation:
The following are given in the question:
Total number of shares of Marks Brothers = 78,000
Percentage of shares of Marks Brothers held by PRH = 19%
Dividend per share = $56.25
Therefore, we can now proceed as follows:
Number of shares of Marks Brothers held by PRH = Total number of shares of Marks Brothers * Percentage of shares of Marks Brothers held by PRH = 78,000 * 19% = 14,820
Amount of dividend that PRH will receive = Number of shares of Marks Brothers held by PRH * Dividend per share = 14,820 * $56.25 = $833,625
The amount of dividend that PRH will receive is $833,625.
The calculation is as follows;
Number of shares of Marks Brothers held by PRH is
= Total number of shares of Marks Brothers × Percentage of shares of Marks Brothers held by PRH
= 78,000 × 19%
= 14,820
Now
Amount of dividend that PRH will receive = Number of shares of Marks Brothers held by PRH × Dividend per share
= 14,820 × $56.25
= $833,625
Learn more: brainly.com/question/16911495
