Answer:
-4 and 6
Step-by-step explanation:
3/5 x 3/5 is equal to 3/5 , since 3/5 is being multiple by a value equal to 3/5 true or false ?
g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability that there are 2 black balls and 2 white balls in the sample if .50 Each ball is replaced before the next one is drawn (sampling with replacement). .624 Each ball is not replaced (sampling without replacement)
Answer:
With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.
Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.
Step-by-step explanation:
For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Sampling with replacement:
I consider a success choosing a black ball, so [tex]p = \frac{50}{150+50} = \frac{50}{200} = 0.25[/tex]
We want 2 black balls and 2 white, 2 + 2 = 4, so [tex]n = 4[/tex], and we want P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109[/tex]
With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.
Sampling without replacement:
150 + 50 = 200 total balls, so [tex]N = 200[/tex]
Sample of 4, so [tex]n = 4[/tex]
50 are black, so [tex]k = 50[/tex]
We want P(X = 2).
[tex]P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116[/tex]
Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.
3(x + 5) + 2(x – 4)
thank you if you answer this question
Answer:
5x + 7
Step-by-step explanation:
Distribute 3x + 15 + 2x - 8
Combine like-terms 5x + 7
Answer:
5x + 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x + 5) + 2(x - 4)
Step 2: Simplify
Distribute: 3x + 15 + 2x - 8Combine like terms (x): 5x + 15 - 8Combine like terms (Z): 5x + 7if anyone knows the answer
Answer:
C. (x + 8) ( x - 8)
Step-by-step explanation:
x² - 64
= x² - 8²
= (x + 8) ( x - 8)
Hope it will help :)
In the evening, a water tank contained 30cm of water. A few days later, it contained 21 cm of water. Ahmed claims that there is a 30% decrease. is Ahmed correct
An item that was selling for $82.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Amount of decrease = 82-60 = 22
percentage decrease = 22/82 ≅ 0.268 = 26.8%
A new tire had a tread depth of
5
8 in. After driving one year the tire had
17
32 in. of tread remaining. What percent of the tread was worn?
Answer:
15%
Step-by-step explanation:
√ 3 x + 4 = √ 3 x + 4 3 x + 4 = 3 x + 4
Answer
Step-by-step explanation: =/
I ready volume with fractional length
Answer:
im here to help.
Step-by-step explanation:
yup
A circular plate has circumference 22 inches. What is the area of this plate? Use 3.14 for it.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
38.5 in squared
Step-by-step explanation:
A clubs first meeting was attended by 2 people. The second meeting was attended by 4 times as many people as the first meeting. How many people attended the second meeting?
Answer:
The answer would be 8 people attended in the second meeting.
Step-by-step explanation:
Multiply 2 by 4 to get 8.
lowest common factor of 72 and 108
Answer:
The lowest common factor of 72 and 108 is 216
No it's not is 67 and 23
Answer:
What?
Step-by-step explanation:
I don't understand.
6(3y + 2) + 8(4y + 3) + 6y =
6(3y+2) + 8(4y+3) + 6y =
Distribute:
18y + 12 + 32y + 24 + 6y =
Combine like terms:
56y + 36
someone answer this pls-
Answer:
c
Step-by-step explanation:
Answer:
C. $37.39
Step-by-step explanation:
We have our original value, $37.69, and we are given a table that adds or subtracts a certain amount. The question is asking what is the final product by Friday.
To solve, all we have to do is subtract and add the price of stock per each day.
$37.69
On Tuesday, the stock price went up by $0.69 cents.
So we must add .69 to 37.69
37.69 + .69
38.38
On Wednesday, the stock price lowered by 82 cents.
So we subtract .82 from 38.38
38.38 - .82
37.56
On Thursday the stock price gained 37 cents, so do the same you did for Tuesday.
37.56 + .37
37.93
On Friday the stock price went down by 14 cents, so do the same you did for Wednesday.
37.93 - .14
37.79
Which boxes have a volume of 120 cubic feet? Box A: length of 5 ft, width of 4 ft, height of 6 ft Box B: length of 7 ft, width of 7 ft, height of 6 ft Box C: length of 3 ft, width of 6 ft, height of 4 ft Box D: length of 10 ft, width of 3 ft, height of 4 ft
Answer:
Boxes A and D have a volume of 120 cubit feet.
Step-by-step explanation:
First, we just have to find the volume for each box so we do...
The volume of box A is:
(Length) x (Width) x (Height) = 5 ft x 4ft x 6ft = 120 [tex]ft^{3}[/tex]
The volume of box B is:
(Length) x (Width) x (Height) = 7ft x 7ft x 6ft = 294 [tex]ft^{3}[/tex]
The volume of box C is:
(Length) x (Width) x (Height) = 3ft x 6ft x 4ft = 72 [tex]ft^{3}[/tex]
The volume of box D is:
(Length) x (Width) x (Height) = 10ft x 3ft x 4ft = 120 [tex]ft^{3}[/tex]
Now we can see that boxes A and D have a volume of 120 cubit feet.
The function f(x)=2000(1.05)^(x) models a population of butterflies after x years. What will the population be in 7 years? plz help quick
Answer:
About 2,800.
Step-by-step explanation:
2,000(1.05)^x
x =7.
2,000(1.05)^7
find 1.05 to the power of 7, which is 1.4071....
then times 1.4071... by 2,000. You will get 2,814.2 - or about 2,800.
The population of butterflies after 7 years will be approximately 2814 butterflies.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
The formula f(x) = 2000(1.05)ˣ can be used to model the population of butterflies after x years, where x is a non-negative integer.
Here, the initial population is 2000.
To find the population of butterflies after 7 years, we can substitute x = 7 into the given function and evaluate:
f(7) = 2000(1.05)⁷
Using a calculator, we get:
f(7) ≈ 2814
Therefore, the population of butterflies after 7 years will be approximately 2814 butterflies.
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Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
1)105°
2) 45°
3)63°
4)108°
5)68°
Step-by-step explanation:
Hope this helps! :)
Hellllllllppppp meeeee
Answer:
x=18°
Step-by-step explanation:
5x-18=4x
subtract 4x from both sides
x-18=0
add 18 to both sides
x=18°
(-5x+4) + -1 (x - 1)
Answer:
-6x+5Step-by-step explanation:
I assume you want to simplify this expression.
First take away the parenthesis.
-5x+4+-1x+1
Now combine like terms.
-5x+-1x=-5x-1x=-6x.
4+1=5
So -6x+5 is your answer.
what is the approximate area of the circle below?
PLS ANSWER ASAP THIS QUESTION IS WORTH ABOUT 50 POINTS PLS ANSWER PROPERLY PLS PLS
Raul paid $48 for a sweater. He also paid a 7% sales tax. How much was the tax and what was they total cost
Answer:
Tax: $3.36
Total Cost: 51.36
Step-by-step explanation:
First, we need to figure out the tax, which is 7% of 48. Meaning that the tax is $3.36. Then, we add that to the cost of the sweater which is $48, which means that the total cost is 3.36 + 48 = $51.36
Plz mark as brainliest :D
What is the area of the figure?
Answer:
졌던 냥 샷 세 새 새 휴 여ㅔ헤헤헤헤헤헤하리ㅎㄴ하왕허웋ㅇ헝후오ㅡ아ㅗ여ㅏㅕ라ㅕ라ㅗㅇ렁셔 요 쇽뎌ㅕ려래ㅛ요ㅓㅓㅛ요ㅏ다ㅛ 또훙서 유ㅓ가ㅗㅗ히ㅓ
ㅍ피ㅓ리ㅓ히ㅓㅓ히ㅗ챠ㅗㅗ료ㅡ쵸ㅏㅇ
Step-by-step explanation:
ㅇㅎ겨개ㅛ교ㅑ아ㅛ려ㅐㄹ서넣요ㅏㅗㅏ차ㅗ셔ㅏ 로 홀ㅛㅕㅑ쇼ㅑ겻효ㅕ 껴ㅛㅕㅛ교ㅑ교ㅐ료ㅏ래ㅕ새ㅕ리ㅕㅐㅕㅔㅑㅣㅕ셔ㅐ ㅕㅣ셔ㅐㄱㅕㅔ샹샹허텋요ㅑ오툐ㅏ어ㅣ래ㅕ촤쳐ㅐ료ㅑ와타ㅛ낳와탸ㅛ와촤야ㅛ 유ㅗㅡ촤우ㅗ퇴롸러ㅣ혀ㅣ라ㅛㅌ샤 ㅗㅣ래ㅛ려ㅣ랴ㅛ아ㅗ처ㅣ촤여ㅣ리ㅕㅓ쵸ㅐ려ㅣㅓㅓㅣ리ㅓㄹㅗㅏ려ㅣ려ㅣ려ㅣㅣㅕㅛㅑㅓㅛ나굣이셔서ㅣㅣ시서ㅣ서소니서서서성섯여ㅣ햐ㅔㅅ하ㅕㅓ퍄샤도ㅕㅐ요ㅏㅗ럇냐ㅛ려ㅔㅐㅈ서ㅕㅣ세ㅕ엿처억 ㅣㅕ려
The graph of the function f is shown. f(3) =
Answer: f(3) is 5.
Step-by-step explanation:
The value of the function f(3) is 5 from the given graph.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the value of f(3) from the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The value of f(3) is 5.
To find this we have to draw a perpendicular line at x=3.
Now let us check the corresponding point of y where the point and perpendicular line intersect.
Hence, the value of the function f(3) is 5 from the given graph.
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Simplify -6X - 3 + 2x +1
Show Your Work
This data gives the average number of hours different students spend on the computer each day.
Average time (hours): 1.6, 2.0, 2.0, 2.0, 1.8, 1.8, 1.5, 2.0, 1.9, 1.6, 1.9, 1.7, 1.6, 1.6, 2.0, 1.8, 1.5, 2.0
Create a line plot to display this data.
To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.
Answer:
2 on 15, 4 on 16, 1 on 17, 3 on 18, 1 on 19 5 on 20
Step-by-step explanation:
I took the test <>_<>
What is the sum of 1 2 + 1 4 12+14? Use the fraction strip to help.
Answer:
6/8 or in simple terms, 3/4
Step-by-step explanation:
[tex] \frac{1}{2} + \frac{1}{4} \\ = ( \frac{1}{4} + \frac{1}{4} ) + \frac{1}{4} \\ = ( \frac{1}{8} + \frac{1}{8} ) + (\frac{1}{8} + \frac{1}{8} ) + (\frac{1}{8} + \frac{1}{8} ) \\ = ( \frac{2}{8} ) + ( \frac{2}{8} ) + ( \frac{2}{8} ) \\ = \frac{6}{8} \\ = \frac{2 \times 3}{2 \times 4} \\ = \frac{3}{4} [/tex]
The given operation of the two fractions can be found as 6/8. The correct option is (D).
What is a fraction?A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.
The number a is called as the numerator and b is the denominator.
The given expression is 1/2 + 1/4.
It can be solved using the strip given as below,
The number of 1/8 sections under 1/2 in the strip is 4.
And, the number of 1/8 sections under 1/4 in the strip is 2.
Then, the addition of the two fractions is equivalent to the total number of 1/8 sections under both of them.
It can be written in mathematical form as,
⇒ 1/2 + 1/4
⇒ 4 × 1/8 + 2 × 1/8
⇒ 6/8
Hence, the required sum of the given fractions can be evaluated as 6/8.
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Whats The Awnser
vertical angles theorem
corresponding angles postulate
same side interior angles theorem
alternate interior angles theorem
Answer:
angle 1= 81
Step-by-step explanation:
corresponding angles
angle 2 = 180-81 = 99
Answer:
aa a
Step-by-step explanation:
k77
show that x²/√x²+4 is continuous at x=2
Answer:
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
The function f(x) is continuous
Step-by-step explanation:
Explanation:-
Given that the function
[tex]f(x) = \frac{x^{2} }{x^{2} +4}[/tex]
put x = c =2
[tex]f(c) = f(2) = \frac{(2)^{2} }{(2)^{2} +4} = \frac{4}{8} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{2^{2} }{2^{2} +4} = \frac{4}{4+4} = \frac{4}{8}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
Given function f(x) is continuous
There are 10 books on a shelf. How many different
ways can the books be arranged?
Please help
Answer:
Number of books =10
Total number of ways =10!
Given pair of books to be together considering them as one
total sets =9
Number of ways of arranging them =9!ways
Those two books can be arranged in 2!
Total ways that the pair of books is together
⇒9×2
Number of ways that are not together
⇒10−9×2
⇒9(10−2)
⇒8×9
Answer:
I hope you understand please give brainliest
Step-by-step explanation:
We have a total of 10 books. If a particular pair of books must always be together, just tie these two books together and consider as a single book. Hence we can take total number of books as 9. These 9 books can be arranged in 9P9 =9!
