Step-by-step explanation: Answer is
(i). 19% or 14/75
(ii) 28% or 7/25
We are asked to find multiple probabilities.
We got to find the number of combinations posible,
Use the combinations formula
[tex]c {}^{n} _r{?} = \frac{(r + n - 1) \: fractorial).}{r \: fractorial(n - 1)fractorial} [/tex]
For math this is read as,
if n choose r,( r+n-1)!/r!(n-1)!.
Where r is how many things we need from and n is the number of things we choose from.
We need 2 things and we have 24 objects to pick from.
So r=2 N equal=24
Which equal
25!/2!(23)!
Which equals
[tex]300[/tex]
So there are 300 possible combinations.
Using
For the 1st question, Since we are given two independent events, we can just multiply the number of good articles by major.
[tex]14 \times 4 = 56[/tex]
So this means the probability is
[tex] \frac{56}{300} = \frac{14}{75} [/tex]
Which is 19%
For the 2nd question, the can multiply the number of minor articles by major articles.
[tex]6 \times 4 = 24[/tex]
So the probability
is
[tex] \frac{24}{300} = \frac{8}{100} = \frac{2}{25} [/tex]
Which is equal to 8%
Find the length of segment GH.
Answer:
it's 21-12 which is equal to 9
7+6(-8x-7)=3(-6x+8)+1
Answer:
x = -2
Step-by-step explanation:
7 - 48x - 42 = - 18x + 24 + 1
-35 - 48x = -18x + 25
-48x +18x = 25 =35
-30x = 60
x = -2
Answer:
-2
Step-by-step explanation:
7+6 (-8x-7)=3 (-6x+8)+1
7-48x-42= -18x+24+1
-48+18= 24+1-7+42
-30x=60 then divide the two sides with -30
x= -2
Please help with this equation:
4.5(8-x)+36=102-2.5(3x+24)
answer
x=14
Step-by-step explanation:
4.5(8-x)+36=102-2.5(3x+24)
36-4.5x+36=102-7.5x-60
-4.5x=42-7.5x
7.5x-4.5x=42
3x=42
x=42/3
x=14
The following is the number of oil changes for the last 7 days at the Jiffy Lube located at the corner of Elm Street and Pennsylvania
Avenue.
41
15
39
54
31
15
33
Determine the mean, median, and mode. (Round "Mean" to 2 decimal places.)
Mean
Median
3257
54
Mode
Given:
[tex]\to \bold{41,15,39,54,31,15,33}[/tex]
Arrange numbers into ascending order:
[tex]\to \bold{15, 15, 31, 33, 39, 41, 54 }[/tex]
Mean formula:
[tex]M=\frac{\text{total of given number}}{\text{total number}}[/tex]
[tex]=\bold{ \frac{{15+ 15+ 31+ 33+ 39+ 41+ 54 }}{7}}\\\\= \bold{\frac{228}{7}}\\\\= \bold{32.57}\\\\[/tex]
Median formula:
n=7 that is an odd number then
[tex]=\bold{(\frac{n+1}{2})^{th}} \ term\\\\=\bold{(\frac{7+1}{2})^{th}} \ term\\\\=\bold{(\frac{8}{2})^{th}} \ term\\\\=\bold{(4)^{th}} \ term\\\\ =\bold{33}[/tex]
Mode:
As per the above-given definition its value =15
Learn more:
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How does the graph change between point A and point B? On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B. The graph increases. The graph decreases. The graph remains constant. The graph increases, then decreases.
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Answer:
the graph increases
Step-by-step explanation:
If you read your problem statement, you find it tells you the answer:
"... point A and then continues to increase through B"
That is, between points A and B, ...
the graph increases
Answer:
It's option A hope this helps
If the length and width of rectangle A are each k times the length and width of rectangle B, which statement is true?
A.
The area of rectangle A is k3 times the area of rectangle B.
B.
The area of rectangle A is k times the area of rectangle B.
C.
The area of rectangle A is 2k times the area of rectangle B.
D.
The area of rectangle A is k2 times the area of rectangle B.
Answer:
B
Step-by-step explanation:
the area of triangle A is k times the area of triangle b
If a dilation produces a congruent figure, then the scale factor was equal to
Answer:
the answer is 1
Step-by-step explanation:
because I said so
Given w = 2+2i, Find w+1/w
Answer:
0
Step-by-step explanation:
w+1/w=(2+2i)+1/(2+2i)
=(2+2i)+(2+2i)-1
=0
4/7x7/8. Can somebody help me with this I’m so confused
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{4}{7} *\frac{7}{8}[/tex]
Its really easy
Just multiply the numerators and the denominators
[tex]\frac{4*7}{7*8}[/tex]
[tex]\frac{28}{56}[/tex]
Simplify
[tex]\frac{1}{2}[/tex]
I hope this helps!
Check all that apply.
x² - 4=0
A. X = -4
U
B. X = 2
DC. X = -2
]
D. X = -1
O E. x = 4
O F. X = 1
A
Answer:
x=2 (option B)
Explanation
x²-4=0
x²=4
x=2
The human body is 65% oxygen, 18% carbon, and 10% hydrogen. The rest is other
elements. What percent is composed of other elements?
Answer:
7% of composed of other elements
Step-by-step explanation:
you have to add the percentages you have then fi d the missing amount
Answer:
7%
Step-by-step explanation:
65 + 18 + 10 = 83 + 10 = 93
100- 93 = 7
7%
there are 5 boys to every 6 girls. if there are 385 students how many are boys?
I am a prime number.
Tam two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.
Answer:
17
Step-by-step explanation:
17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.A pool charges $7 for 2 daily pool passes.
Which table could represent the situation?
Answer:
Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership.
Option B is the table which could represent the given situation.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
According to the question
A pool charges $7 for 2 daily pool passes.
Using the linear equation y = mx + b
Substitute x = 2, y = 7
[tex]7 = 2m + b[/tex].....(1)
Substitute x = 4, y = 14
[tex]14 = 4m + b[/tex] .....(2)
Using elimination method
Subtract equation 1 from 2
[tex]14 - 7 = 4m - 2m + b - b[/tex]
[tex]7 = 2m[/tex]
[tex]m=\frac{7}{2}[/tex]
Substitute m = [tex]\frac{7}{2}[/tex] in equation 1
[tex]7=2(\frac{7}{2} )+b[/tex]
b = 7 - 7
b = 0
Substitute b = 0 in equation 1
7 = 2m
Similarly
14 = 4m
21 = 6m
28 = 8m
Hence, Option B is the table which could represent the given situation.
Find out more information about linear equation here
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Does the table represent a function? Why or why not?
Answer:
A.
Step-by-step explanation:
one x value cant go to two y values
Answer:
No....Not at all
You can select option A as the correct answer
Step-by-step explanation:
There can be two possibilities
x is an independent variable and y is a dependent variabley is an independent variable and x is a dependent variableFrom the definition of Function, We know, the value of a dependent variable corresponds to exactly one value of the independent variable
For possibility 1, For x = 5 and 9, y = 2 & for x = 5 and 7, y = 3
So this can't be a function
For possibility 2, For y = 3 and 2, x = 5
So this can't be a function
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
The base of a triangle measures 12 1/2" (twelve and 1/2 inches). The height of the triangle is 27". What is the area (in square inches)?
(Remember A=1/2base x height)
Answer:
168.75 in²
Step-by-step explanation:
12.5 * 27 = 337.5
337.5/2 = 168.75
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the midpoint of points A(-4,0) and B(3,-10) graphically.
Answer:
(7,10)
Step-by-step explanation:
3kg of rump steak costs 42 pounds adel buys 4kg of rump steak work out how much adel pays
Answer:
I think it's 56 pounds but I could be wrong
How do i solve
a·a²·a³
Answer:
a^6
Step-by-step explanation:
When the same numbers, the power can be just added together
For example
n x n x n =n^3 right?
Ya cuz when they don't put the power, it means to the power of 1
Therefore
a x a^2 x a^3
Just means
a ^ (1+2+3)
=a^6
Answer: a^6
Step-by-step explanation:
Term does not have an exponent so it’s automatically 1. So, a^1xa^2xa^3.
Multiply terms and add their exponents. So, a^1+2+3z
Add all exponents and you get 6. So, a^6
The density d kg/m3 of a cube of mass m kilograms and side length x meters is given by the formula:  What is the value of d if m = 40 and x = 0.2?
Answer:
5000kg/m3
Step-by-step explanation:
Its easy to get the answer of a question from the unit.
So, it will be mass over metre cube.
Therefore, m=40kg x= (0. 2)^3 =0. 008m
40/0. 008 = 5000kg/m^3
If a stock valued at $40 per share increases by 20% and then decreases by 25% what is the resulting value of the stock?
Answer:
$36
Step-by-step explanation:
The stock value of $40 increased by 20%.
Increased value
= 20% of $40
= (20/100) × $40
= $800/100
= $8
New stock value
= Initial value + increased value
= $40 + $8
= $48
Then, the value decreased by 25%.
Decreased value
= 25% of $48
= (25/100) × $48
= $1200/100
= $12
New stock value
= Initial value + decreased value
= $48 - $12
= $36
So, the resulting stock value is $36.
Answer:
The resulting value of the stock is $36.
Step-by-step explanation:
First, we need to find out what 20% of $40 is.
40 x 0.20 = 8
40 + 2 = $48
Therefore, the stock value, when increased, is $48.
Now, we need to see what 25% of $48 is.
48 x 0.25 = 12
48 - 12 = $36
Therefore, the resulting value of the stock is $36.
Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]
[tex]\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)[/tex]
[tex]\\ \rm\longmapsto Perimeter=2(4x-2)[/tex]
[tex]\\ \rm\longmapsto Perimeter= 8x-4[/tex]
A football team lost 9 yards on each of two consecutive plays. represent the total change as a product of sun numbers and then find the total loss.
Convert to decimal form/ 3.1 x 10^6
Answer:
0.000036 i think it the answer
i need help with this equation.
g= -2+2a
Answer: a= [tex]g+2 / 2[/tex]
Step-by-step explanation:
g= -2 + 2a
>> -2+2a=g ( side change )
>> -2+2a +2 = g+2 ( adding 2 both side)
>> 2a = g+2
>> 2a /2 = g+2 /2 ( divide by 2 both side)
>> a= g+2 /2
∆RMQ ≅∆RMS by __________ congruence criterion
SAS
SSA
AAS
SSS
[tex] \huge \pink{ \underbrace { \overbrace { \ SAS}}}[/tex]
Please help!
Find the value of x for which ABCD must be a parallelogram.
Answer:
x=5
Step-by-step explanation:
5x-8=2x+7
5x-2x=7+8
3x=15
X=15/3
x=5
Answer:
5
Step-by-step explanation:
cause
angle c and angle a are alternate angle and alternate angle are always equal so 5X-8=2x+7
5x-2x=7+8
3x=15
or x=5
Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation
X-8=-9
Answer: (a) x = -1
Step-by-step explanation:
Given
x - 8 = - 9
Add 8 on both sides to isolate x
x - 8 + 8 = - 9 + 8
[tex]\boxed{x=-1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Does anyone know how to divide a fourth degree polynomial
Answer: Polynomial long division can be used to divide a polynomial by any polynomial with equal or lower degree. The Division Algorithm tells us that a polynomial dividend can be written as the product of the divisor and the quotient added to the remainder.
Step-by-step explanation:
Write the range of the function given in the graph in interval notation.
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Answer:
(-4, 8]
Step-by-step explanation:
The vertical extent of the graph is ...
-4 < y ≤ 8
In interval notation, the range is (-4, 8].
__
Additional comment
There is a horizontal break (in the domain) at y=3, but no vertical break there. Hence the range is continuous through that region.