Answers
Answer:
i). 14/75 or 19%
ii). 2/25 or 8%
Step-by-step explanation:
i). Using the combinations formula if repetition is allowed
If n choose r,
(r+n-1)!/r!(n-1)!
Where n is the things we have to pick from and r is the objects we want. We want 2 objects and we have 24 objects to pick from.
So our equation will be
(2+24-1)!/2!(24-1)!
(25)!/2!(23)!,
This gives us 300. So there is 300 possible combinations.
Since we have two independent events, we can multiply two events and divide it by 300 to find the probability.
i) There is 14 good defects and 4 major defects so
[tex] \frac{14 \times 4}{300} = \frac{56}{300} = \frac{14}{75} [/tex]
So the probability is 14/75 or 19%
ii) We can do the same thing in question 1
There is 6 minor defects and 4 major so
[tex] \frac{6 \times 4}{300} = \frac{24}{300} = \frac{8}{100} = \frac{2}{25} [/tex]
So this means the probability is 8% or 2/25
Related Questions
can you pretty please solve this math equation for me 5+2=4
Answers
find the length of BE BC=3x+47 DE=10 BD=x+27 CE=x+26
Answers
Answer:
B____C____D_____E
BC+ CE = BD + DE
(3x+47) + (x+26) = ( x+27) + (10)
4x + 73 = x + 37
4x – x = 37 – 73
3x = ‐ 36
x = – 36/ 3 —> x = – 12
BC = 3x + 47 = 3(-12) + 47 = - 36 + 47 = 11
BD = x+ 27 = –12+27 = 15
CE = x + 26 = –12+26= 14
So; BE = BD+ DE = 15+ 10= 25Or ;BE= BC + CE = 11+ 14 = 25I hope I helped you^_^
22b^9 divided by -2b^5
Answers
Answer:
-11 bytes4Step-by-step explanation:
In the word problem below, what answer or solution are you being asked to
find?
STEP 2: PLAN
The entire school, 250 students, went to the soap
box derby. The Math Club went in 2 vans, and
each van held 6 students. How many students
from the Math Club went to the soap box derby?
O A. 6-2=?
O B. 6 + 2 = ?
O C. 6 x 2 = ?
O D. 6 - 2 = ?
Answers
Answer:
the answer is C 6x2 .....................
Compare 9/10 or 90percent'
Answers
Step-by-step explanation:
9/10
=0.9
90%
=90/100
=0.9
Hence, 9/10 = 90 %
Can you help me please??
Answers
Answer:
either a or c sry
Step-by-step explanation:
discoverings of marie curie
Answers
Answer:
Marie won the 1911 Nobel Prize in Chemistry for her discovery of the elements polonium and radium, using techniques she invented for isolating radioactive isotopes. Under her direction, the world's first studies were conducted into the treatment of neoplasms by the use of radioactive isotopes.
Basically, she discovered new elements and one of them is radiation which is used world-wide for cancer and other things
Step-by-step explanation:
7 + (-24) / 8 + 4 (-2) =
Answers
Answer: 0
Step-by-step explanation:
7+(-24)/8+4(-2 )= 7-24/8+4(-2) = -17/8-8 = -17/0 = 0
(x3)(x-5)
Fududeey
X=2
Answers
Answer:
-18 is the right answer..
if 2x°and 3x°are adjacent angles in linear pair and find them
Answers
Step-by-step explanation:
2x°+3x°=180°[ sum of adjacent angle]
or,5x°= 180°
or,x°= 180°/5
x°=36°
2x°= 2× 36°= 72°
3x°= 3 × 36°= 108°
Plz help ASAP need fast plz will mark Brainlyist
Answers
Answer:
The correct answer is the third one. CIRCUMFERENCE
which of the following is equivalent to 7x+5<-2(4x-3)
x>11
-x<1
15x<-11
15x<1
Answers
Answer:
7x+5< -8x+6
=15x<1
The equivalent inequality is 15x<1. Therefore, option D is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is 7x+5<-2(4x-3).
Now, 7x+5<-8x+6
Subtract 5 on both the sides of an inequality, we get
7x<-8x+1
Add 8x on both the sides of an inequality, we get
7x+8x<1
15x<1
Therefore, option D is the correct answer.
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ILL GIVE BRAINLIEST
evaluate the expression. 2•7(3^2)/3
Answers
Answer:
[tex] \frac{7 \times {3}^{2} }{3} \\ \frac{7 \times 3 \times 3}{3} \\ = 7 \times 3 = 21 \\ thank \: you[/tex]
7(3^2) / 3 gives you 21
21 X 2 give you 42
Area of the Shaded Region rectangle within reactanlge
Find the area of the shaded region with the following measurements:
Answers
Answer:
132
Step-by-step explanation:
First you need to find the area of both regions (shaded and not shaded)
To find the shaded regions area multiply length by width
20 x 8 = 160
Then find the area of the unshaded region
7 x 4 = 28
Finally subtract the unshaded region from the shaded region
160 - 28 = 132
Solve this problem, and identify the percent, amount, and base.
What percent of
60is15 ?
Answers
Answer:
9
Step-by-step explanation:
60 is 15=9
(15/60)*100 = 25%
Amount 15
Base 60
Percent 25%
Attached example:
Which expression is equivalent to 8(6g)?
Answers
Answer:
8(6g) = 48g
I hope I helped you^_^
Find the value of x
2,8,9,7,6x ; the mean is 6
Answers
Answer:
x=2/3
Step-by-step explanation:
The mean is just the average of all the terms. Therefore, you can set up an algebraic expression to solve for x.
[tex]\frac{2+8+9+7+6x}{5} =6[/tex]
[tex]2+8+9+7+6x=30\\26x+6x=30\\6x=4\\x=4/6=2/3\\x=2/3[/tex]
913,256 write the digit in the ten thousands place
Answers
Answer:
1 is in the ten thousands, also know as 10,000
abhivardhansinghrathore7979
Answers
Answer:
hlo
Step-by-step explanation:
which Id I s ths and if u needs we can play t or d join eew-vtej-rxt
Answer:
thanks for the point back
Step-by-step explanation:
thanks
Translate the sentence into an equation.
Twice the difference of a number and 8 is equal to 6.
Use the variable b for the unknown number.
Answers
Answer:
X=2
Step-by-step explanation:
8-x=6
there the answer is 2
There are □terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561
Answers
Answer:
There are(2) terms in sequence1,3,9,27,81,243...6561
Step-by-step explanation:
1,3,9,27,81,243,729,2187,6561
There are 8 terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561.
To determine the number of terms in the given sequence, we can observe that each term is obtained by multiplying the previous term by 3. Starting with the first term, which is 1, we can continue this pattern to find subsequent terms.
1 * 3 = 3
3 * 3 = 9
9 * 3 = 27
27 * 3 = 81
81 * 3 = 243
243 * 3 = 729
729 * 3 = 2187
2187 * 3 = 6561
As we can see, the sequence follows a pattern of multiplying each term by 3. In total, we have gone through 8 terms to reach 6561.
To learn more about sequence click on,
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what's
the answer?????
Answers
9514 1404 393
Explanation:
Apparently, you're to show this is an identity.
[tex]\dfrac{\tan^2A}{\tan A-1}+\dfrac{\cot A}{1-\tan A}=1+\sec A\csc A\\\\\dfrac{\tan^2 A-\dfrac{1}{\tan A}}{\tan A-1}=\\\\\dfrac{\tan^3 A-1}{(\tan A)(\tan A-1)}=\\\\\\\dfrac{\tan^2 A+\tan A+1}{\tan A}=\\\\1+\dfrac{\sec^2 A}{\tan A}=\\\\1+\dfrac{1}{\cos A}\cdot\dfrac{1}{\sin A}=1+\sec A\csc A[/tex]
simplify given
[tex] \sin3 \alpha \div \sin \alpha + cos \alpha + cos3 \alpha \div cos \alpha - sin \alpha [/tex]
Answers
Step-by-step explanation:
Hey there!
Please see attached picture for your answer.
Hope it helps!
100 10 times as much as ___ of
Answers
Answer:
1 thousand
Step-by-step explanation:
1 ten = 10 x 1 one (Read, as “1 ten is 10 times as much as 1 one.”) 1 hundred = 10 x 1 ten (Say, “1 hundred is 10 times as much as 1 ten.”) 1 thousand = 10 x 1 hundred (Say, “1 thousand is 10 times as much as 1 hundred.”)i hope im right
An elevator at a construction site has a maximum capacity of 3325 pounds. If the elevator operator weighs 225 pounds and each cement bag weighs 75 pounds, how many bags of cement can be safely lifted on the elevator in one trip?
Answers
3325 - 225 = 3,100
3,100 / 75 = 41.3 but you can’t take .3 bags so you round down to 41
Write an equivalent expression in standard form for
(5x + 4)(7x+ -12x + 27).
Answers
Answer: -25x² + 115x + 108
Concept:
When encountering questions that ask for simplifying polynomial expressions, using the method FOIL would be easier:
First, which means multiplying the first terms together;Outer, which means that we multiply the outermost terms when the binomials are placed side by side;Inner, which means multiply the innermost terms together;Last, which means multiplying the last term in each binomial together;Solve:
Given
(5x + 4) (7x + (-12x) + 27)
Combine like terms in the parentheses
=(5x + 4) (7x - 12x + 27)
=(5x + 4) (-5x + 27)
Expand parentheses and apply the FOIL method
=-25x² + 135x - 20x + 108
Combine like terms
= [tex]\boxed {-25x^2+115x+108}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex]\boxed {\boxed {\sf -25x^2+115x+108}}[/tex]
Step-by-step explanation:
We are asked to find an equivalent expression for (5x + 4)(7x+ -12x + 27). Note that we are multiplying 2 polynomials.
[tex](5x + 4)(7x+ -12x + 27)[/tex]
Notice that the second polynomial has like terms. There are 2 terms with an x (7x and -12x) and we can combine them.
[tex](5x + 4)[(7x+ -12x) + 27][/tex]
[tex](5x + 4)[(-5x) + 27][/tex]
[tex](5x+4)(-5x+27)[/tex]
Now we are multiplying 2 binomials. Therefore, we use the FOIL method. We multiply the First terms, the Outside terms, the Inside terms, and the Last terms.
First: 5x * -5x = -25x²Outside: 5x * 27 = 135x Inside: 4* -5x = -20x Last: 4 * 27=108[tex]-25x^2+135x-20x+108[/tex]
Notice there are 2 terms with an x ( 135x and -20x). They are like terms and can be combined.
[tex]-25x^2+(135x-20x)+108[/tex]
[tex]-25x^2+115x+108[/tex]
The equivalent expression in standard form is -25x²+115x+108
please solve its due
Answers
Answer:
2118+3391+4785+6354= 16648
Step-by-step explanation:
Which set of ordered pairs represents a function?
{(3,6), (3, 1), (9,0), (2, 2)}
{(2,-5), (-3, 6), (-1, -8), (-3,-4)}
{(4, -7), (-2, -1), (-7,4), (9, -1)}
{(3,8), (-2,-9), (1,4), (1,9)}
Answers
Answer:
{(4, -7), (-2, -1), (-7,4), (9, -1)}
Step-by-step explanation:
Every other set of ordered pairs has an x-value that has more than one y-value. This is against the rules of a function. Therefore, {(4, -7), (-2, -1), (-7,4), (9, -1)} represents a function.
The solution to 12x = 36 is x =___. (Only input whole number) Numerical Answers Expected! Answer for Blank 1:
Answers
Hi ;-)
12x = 36
x = 36 : 12
x = 3
Hey there! I'm happy to help!
We see that an unknown number x multiplied by 12 is equal to 36. How do we find this number? Well, you can simply go backwards and divide 36 by 12, and this will give us our answer.
36÷12=3
Another way you can think about this is dividing both sides of the equation by 12, which isolates our x.
12x=36
12x÷12=36÷12
x=3
Have a wonderful day and keep on learning! :D
pleaseeeeee solve this!
Answers
Answer:
C
Step-by-step explanation:
One graph line is equal to 10km and there is 2 graph lines between Red Bank and Belleville.