Answer:8•4 √4
Step-by-step explanation:
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.
On a map, Breanne measured the distance (as the crow flies) between Los Angeles, California and San
Francisco, California at 2 inches. The scale on the map is 1/4 inch = 43 miles. What is the actual
straight-line distance between Los Angeles and San Francisco?
5. David Read's the problem:
Ally bought a T-shirt and a pair of shorts on sale which
reduced prices by 1/4. The total savings on the 2
garments was $10.25. Find the original price for the
pair of shorts.
David says that the original price of the shorts was $41.
Does his answer seem reasonable? Defend your
answer by writing and solving an equation that
represents the situation.
Answer:
No, David's answer does not seem reasonable.
Let x= original purchase amount
25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.
If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.
Step-by-step explanation:
5) Find the area of the composite figure.
15
9 in
I ㅗ
20
3
A
then find the
Answer:
HOPE IT HELPS THANK ME LATER.
Aaron mows lawns and makes $70 per week. Last week
he spent $15 on gas and spent 5 hours mowing all of the
lawns. How much did he earn per hour?
The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?
Do not include the units in your answer.
At a speed of 48 miles per hour, it would take 13 hours.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours.
Distance is constant.
And we know the formula:
Distance = speed x time
= 52 x 12
= 624 miles
Now to find the time:
Now for speed = 48 miles per hour
time,
t = distance / speed
= 624/48
= 13 hours
Therefore, 13 hours would it take at a speed of 48 miles per hour.
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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x^2+5/4x
Let's work backwards.
The answer will be in the form (x+a)^2 for any real number a
Now the expansion will be x^2+2ax+a^2.
We can see just from this that 2a=5/4
a=5/8
The result binomial should be x+5/8
Resulting binomial squared expansion should be x^2+5/4x+25/64
The term we need to add will be 25/64
Find the Area: 13 in | 4 in 7 in 24 in
Answer:
242 inches²
Step-by-step explanation:
area = (1/2) · (p + q) · h (trapezoid formula)
(1/2)(13+24)(4)= 74
area= bh (rectangle)
(24)(7)= 168
168+74= 242
What is the value of y?
2y
Y+10
50°
Answer:
The question is incorrect. Please rewrite the question.
Does side lengths 4, 8 and 12 form a right triangle?
Answer:
No it does not form a triangle.
Step-by-step explanation:
If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
The radius of a quarter circle is 2 yards. What is the quarter circle's perimeter?
Help me find the hight explain
Answer:
h = 26cm
Step-by-step explanation:
V = (l w h)/3
so the volume of the first one is
20*12*13 /3= 1040
1040 = 12*10*h/3
3120 = 120h
h = 26
The answer is C. 23 cm
you are working to save money for a trip you need to save 1500 you already saved $250 saved, and make $10 an hour at your job whites and solve an equation to represent how many hours, h, you need to work to make the rest of the money
Answer:
125 hrs
Step-by-step explanation:
1500-250=10h
simplify
1250=10h
divide both sides by 10
h=125
125 hrs
To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.
what is the approximate area of the circle below?
The ratio of cows to goats in a farm is 3:2 if there are 210 more cows than goats how many animals are there in the farm
The Inconsistent Books store changes the normal prices of books on Mondays and Tuesdays. On Monday the price of a book is 10% above the normal price. On Tuesday the price is 10% below the normal price. Sarah bought a book on Monday for $16.50. Would would be the price of that book on a Tuesday?
can someone help me solve this please :)
Answer:
Step-by-step explanation:
Complete the function table,
then list the domain of the function
Domain
What’s the next numbers ?
Answer:
f(x)=x-2
f(2)=2-2=0
f(3)=3-2=1
you only have attach the number to x
Answers:
Second row: 0Third row: 3-2 and 1====================================================
Explanation:
The first column is the list of x values we plug into the function. The second column describes what happens to those x inputs. Namely, we subtract off 2. In the first row, it shows 0-2 after replacing x with 0. This leads to the result of -2 since 0-2 = -2.
In the second row, we have the input x = 2 turn x-2 into 2-2 = 0. So that's why 0 goes in the blank for the second row.
In the third row, we have x-2 = 3-2 = 1. So we'll have 3-2 go in the first blank of row 3, and the value 1 go in the second blank of this same row.
PLEASE HELP I NEED THE VALUES OF M AND P!!!!!!!! WILL GIVE BRAINLIST!!!!
Answer:
m=5 and p=4
Step-by-step explanation:
PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!
Answer:
First question: Choice A
second question:Choice D
Third question: Choice c
Fourth question: Choise b
5th Question: choice b
find the area of the composite figure.
Answer:
24
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
A function and its inverse are shown on the graph.
y
y
6
f(x)
4
Which answer pairs a possible domain restriction
for f(x) and its corresponding impact on f'(x)?
O f(x) domain: x 2 1
f'(x) domain: x 2 1
Of(x) domain: x 2 1
f'(x) range: y21
Of(x) domain: XS-2
f'(x) domain: x = -2
Of(x) domain: xs-2
f'(x) range: ys-2
2.
x
+
-2
2
4
6
-2
f (x)
-6
Answer:
not: f(x) domain: x ≤ -2
f^-1(x) range: y ≤ -2
Step-by-step explanation:
The possible domain restriction for f(x) and its corresponding impact on f'(x) is f(x) domain: x < 1, f'(x) domain: x < 1.
How to find the function which used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that;
The graph of function
Now,
Looking at the graph, we can see that the function and its inverse are reflections of each other across the line y = x. This means that the domain of the inverse function corresponds to the range of the original function, and vice versa.
From the graph, we can see that the original function f(x) has a vertical asymptote at x = 1. This means that the function is undefined at x = 1.
Therefore, a possible domain restriction for f(x) is x < 1, which would exclude x = 1 from the domain. The corresponding impact on f'(x) would be that f'(x) would also be undefined at x = 1.
So, the answer that pairs a possible domain restriction for f(x) and its corresponding impact on f'(x) is:
f(x) domain: x < 1
f'(x) domain: x < 1
This is because the domain of f(x) is restricted to exclude x = 1, and the corresponding impact on f'(x) is that it is also undefined at x = 1.
Therefore, by the graphed function the answer will be f(x) domain: x < 1, f'(x) domain: x < 1.
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50 PONITS
If you travel 82 km in 40 minutes, what is your speed in km/h?
Answer:
123 km/h
Step-by-step explanation:
the formula for the unit rate would be 82/40
82 divided by 40 is 2.05km/m
Then you have to convert 2.05 km/m to km/h
multiply 2.05 times 60 and your answer is 123 km/h
Answer: 123 km/h
Step-by-step explanation:
Jake is a factory manager for a company that produces batteries. Occasionally, some are found to be defective. Based on previous results, Jake
estimates that 12 batteries will be defective for a certain month. However, 10 were actually defective. What is the percent error of Jake's estimate?
The percent error of Jake's estimate is 16.6 % when he found 10 were actually defective out of 12 batteries.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Mili obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
Jake calculates that 12 batteries will be faulty during the month given in the question.
To determine the percent error which is the percentage of the difference between the accepted value and the experimental value.
As per the given condition, the required solution would be as:
⇒ [(12 - 10)/12] × 100
= [(2/12)] × 100
= [1/6] × 100
= 0.166× 100
= 16.6 %
Thus, the percent error of Jake's estimate is 16.6 %.
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what is the probability that the red shows a six or the green die shows a six?
Answer:
11/36
Step-by-step explanation:
What is the factored form of this expression?
216p6 + 1
(3p – 1) (3p + 1) (6p2 – p2 + 1)
(3p – 1) (3p + 1) (36p4 + 6p2 + 1)
(6p2 + 1)(36p4 - 6p2 + 1)
o 6p2 – 1) (36p4 + 6p2 + 1)
HELPPPPP!!!!!!!!!!!!!!
Answer
0.75 or 3/4 is the answer (degree)
I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them
A rectangle has a length of (x+3) centimeters and a width of 1/2 x centimeters. If the perimeter is 24 centimeters, what is the length of the rectangle?
Answer:
Step-by-step explanation:
Perimeter = 2L + 2W = 24
L+W = 12
(x+3)+(x/2) = 12
2x+6 +x = 24
x = 6 cm
L = x+3 = 9 cm
How many
liters of paint needed to paint a room
that is 96 meter square if 1 liter of
paint covers 5 meter square
5 meter Square meters
Answer:
19,2 l
Step-by-step explanation:
It's given that the area = 96 [tex]m^{2}[/tex]
// make a proportion
1 liters - 5 [tex]m^{2}[/tex]
x liters - 96 [tex]m^{2}[/tex]
x = 96/5 = 19,2 (l)