Solution :
[tex]$ P(A \cap B) = P(\text{coin}\ C_1 \text{ chosen and 4 heads in 10 trails})$[/tex]
[tex]$= \frac{1}{3} \times ^{10}C_4 \times 0.4^4 \times 0.6^6$[/tex]
= 0.0836
P(B)= P(coin [tex]$C_1$[/tex] chosen and 4 heads in 10 trails) + P(coin [tex]$C_2$[/tex] chosen and 4 heads in 10 trail) + P(coin [tex]$C_3$[/tex] chosen and 4 heads in 10 trail)
[tex]$=\frac{1}{3}\times ^{10}C_4 \times 0.4^4 \times 0.6^6 + \frac{1}{3}\times ^{10}C_4 \times 0.5^4 \times 0.5^6 + \frac{1}{3}\times ^{10}C_4 \times 0.2^4 \times 0.8^6$[/tex]
[tex]$=0.0836+0.0684+0.0294$[/tex]
[tex]$=0.1813$[/tex]
P(A|B) = [tex]$\frac{P(A \cap B)}{P(B)}$[/tex]
[tex]$=\frac{0.0836}{0.1813}$[/tex]
[tex]$=0.4611$[/tex]
Write the explicit formula for the sequence. 27,18,12,8
Answer:
a(n) = 27*(2/3)^(n - 1)
Step-by-step explanation:
The first four terms are 27, 18, 12, 8.
Find the common ratio:
To do this, let that ratio = r, and write and solve 27r = 18. Thus, r = 2/3.
The general explicit formula for this sequence is
a(n) = a(1)*(2/3)^(n - 1), or, since a(1) = 27, a(n) = 27*(2/3)^(n - 1)
An economist wants to predict the Gini of the US by Year. Select the answer choice that correctly interprets R-Squared. Group of answer choices 0.451751 is the proportion of variability of Gini Coefficient unexplained by our least squares line. 0.451751 is the proportion of variability of Years explained by our least squares line. 0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines 0.451751 is the proportion of variability of Years unexplained by our least squares line.
Answer:
0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines
Step-by-step explanation:
Given
[tex]R\ squared = 0.451751[/tex]
To predict: Gini by year
Required
Interpret the R squared
In statistics, r squared measures the extent to which the variance of one variable explains the variance of the other variable.
In this question, the variable to predict is Gini:
From the list of options, (c) is correct
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.
Selena has been practicing archery at camp. In her first 20 attempts, she hut the target 12 times. Assume her success rate is the same in her next 100 attempts, how many times will she hit her target in 45 attempts
Answer:
22-23 I believe
sorry if it's wrong
Researchers are studying the relationship between the median salary of a police officer in a city and the number of violent crimes per 1,000 people. The researchers collected the police officers' median salary and the number of violent crimes per 1,000 people in 87 cities. After analyzing the data, researchers found that a city with a greater police officers' median salary tends to have a greater number of violent crimes per 1,000 people.
The variables
(select)
.
The greater police officers' median salary corresponds to a
(select)
number of violent crimes per 1,000 people, so there is a
(select)
correlation.
Causation is
(select)
but it is unknown which variable causes the other. A greater median salary of police officers could cause a greater number of violent crimes per 1,000 people or a greater number of violent crimes per 1,000 people could cause a greater median salary of police officers. It is also possible that another factor causes a greater median salary and a greater number of violent crimes per 1,000 people.
Answer:
i jke it way fi naby qheisghb hjnssg ubg. jgb
what do when you have 187,599742 and you have to take away 7937
Answer:
187,591,805
Step-by-step explanation:
187,599,742 - 7937 = 187,591,805
HTH :)
Here are several function rules. Calculate the output for each rule when you use -6 as the input.
Answer:
1. -13
2. 36
3. -2
4. -.5
5. -6x
6. -216cm
precalc! 50 points! please someone help me i’ll do anything for you
Step-by-step explanation:
3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]
[tex]25 + 1 = r {}^{2} [/tex]
[tex]26 = r {}^{2} [/tex]
[tex]r = \sqrt{26} [/tex]
Now let find the sin, csc, and tan.
To find sin let use the formula
[tex] \frac{y}{r} [/tex]
[tex] \frac{1}{ \sqrt{26} } [/tex]
Rationalize the denominator
[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]
[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]
To find cosecant, it is the reciprocal of sin so it would be
[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]
To find tan, do
[tex] \frac{y}{x} [/tex]
Which is simply
[tex] \tan= \frac{1}{ - 5} [/tex]
4. Kennedi is correct since in the 2nd quadrant
The x value is negative, and the y value is positive.
Since sin is referred in trig as the y value, sin must be positive.
A group of 19 boys and 18 girls are attending a pottery class. Each pottery table can seat 6 people.
What is the least number of tables needed to seat the group?
Answer:
6 1/18 table or technically 7 since 3 tables are for the girls and 3 for the boys then one extra table for the last boy.
Step-by-step explanation:
but if you had to choose one then it would be 7
Answer:
Step-by-step explanation:
6.16 because if you add the total number of students and then divide it by 6 you get 6.166666666666667 so the answer is 6.16 mark brainliest please if the answer is correct just need two more to have five
The perimeter of a square painting is 340 centimeters. How long is each side?
Answer:
90
Step-by-step explanation:
the perimeter is the sum of all side .. therefore 360 divided by 4 because the square has 4 sides so equivalent to 90
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
5. Which ordered pair could be added to the
relation below to ensure it continues to be a
function?
(-7, 9), (4, -1), (0, 5), (-2,-2)
A. (4,-4)
B. (5,0)
C. (0, -3)
D. (-7, -1)
Evaluate 2a + 4b
If a=10 and b=6
Answer:
44
Step-by-step explanation:
2a + 4b a= 10 & b=6
2(10) + 4(6)
20 + 24
44
find the area of the composite figure.
Answer:
24
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
Can someone help me some of my answer are Incorect thank you
Answer:
just to help you i dont know the answers but you should hide the link because everyone can find your location
what is the approximate area of the circle below?
f(x) = 200(1
Bhhhhhhhhhhh
Answer:
hgyt67rdjhhrgytr7ugjv. hgehalk4
Step-by-step explanation:
Which of the following polynomials does not have real roots?
A. 12x² - 17x - 7
B. x² + x - 2
C. x² + x + 2
D. x² + 5x + 6
Please help!!!
Answer:
b
Step-by-step explanation:
can someone help me solve this please :)
Answer:
Step-by-step explanation:
I’m really having trouble on this, can anyone help?
Answer:
the first box is proportional but the second is not
thus; y is (4/3)x for the first illustration
HELP NOW PLEASE!!!!! I will give 100 points to whoever will answer this question first
Answer:
D : 10 feet
Step-by-step explanation:
Hello I think I can help with this.
Now how I would do this given a multiple choice question is kind of use brute force with your given answers to find the solution.
So the formula for area is known as (L x W x H)
or (length x width x height)
Lets see what we are given.
We are given the length which is 12
We are also given the width which is 4 1/2
And if we multiply these we can find the surface area of the base of this rectangular prism so lets do that.
12 multiplied by 4 1/2
=
54
Alright so now we know the base of this rectangular prism is 54 ft²
Now we can start the brute force method. So we are trying to find the height in this problem since we already have the width and length and have worked that out. So now all we do is multiply what we found (54) by the possible answers until one of them gives us the answer 540 ft³.
NOW this is actually really easy because we got 54 as our answer to length x width and our total amount of area is 540.
So instead of brute force we can take an easier route and do 540 / 54 and get an easy answer of 10 which is option D :
10 feet
I hope this helps you understand this a bit better!
If you are confused or have any concerns / questions feel free to comment or message me :)
Answer:
Height = 540/(4.5*12) = 10 feet
Step-by-step explanation:
Lisa was hiking Death Valley and began at the elevation of 300 feet. She hiked down 450 feet. At what elevation did she end her hike
a snail on her trip from a pumpkin patch to a strawberry field. one hour and 36 minutes later a turtles leaves the pumpkin patch for the strawberry field and arrives at the same time as the snail the distance between the pumpkin patch and the strawberry field is 52m find the speed of the snail if it is 32 meters per hour less than the speed of the turtle.
Answer:
20 mph
Step-by-step explanation:
anyway this was my equation
8/15+52/x=52/x-96
x=156, convert that into hours, which is 2.6, 52/x, which is speed for snail is = 20
I know you're in RSM because I am too. If you need help, asking your teacher is better because they will explain it better.
The speed of the snail is 20 meter per hour
SpeedSpeed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance/ time
Let a represent the speed of the the turtle and b the speed of the snail. Hence:
b = a - 32 (1)
Also:
b = 52 / t
t = 52/b
a = 52 / (t + 1.6)
a(t + 1.6) = 52
t = (52 + 1.6a) / a
52/b = 52/a + 1.6
a = 52 meter per hour, b = 20 meter per hour
The speed of the snail is 20 meter per hour
Find out more on Speed at: https://brainly.com/question/4931057
y = -2x in standard form
Answer:
2x+y=0
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)
Imagine that you have 1 dollar, 2 quarters, 3 nickels and 5 pennies in your wallet. What percent of a dollar do you have in your wallet?
Answer:
Step-by-step explanation:
%/100=1+2(.25)+3(.05)+5(.01)
%/100=1.7
170%
Please help meee I wanna get out of this class already
Answer:
The answer is D.
Answer:
a
Step-by-step explanation:
HELP QUICK GIVING 25 POINTS, Also use distrib property!!
Evaluate f(x) ∙ g(x) by modeling or by using the distributive property.
f(x) = (−3x^2 + 2) and g(x) = (−2x^3 − 5x + 4)
Answer:
6x^5 + 11x^3 - 12x^2 - 10x + 8
Step-by-step explanation:
(-3x^2 + 2) x (-2x^3 - 5x + 4)
Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.
-3x^2 x -2x^3 = 6x^5
-3x^2 x -5x = 15x^3
-3x^2 x 4 = -12x^2
Now to do 2 x -----.
2 x -2x^3 = -4x^3
2 x -5x = -10x
2 x 4 = 8
Last, but not least, we combine like terms.
6x^5 + 11x^3 - 12x^2 - 10x + 8
Your job in a company is to fill quart size bottles of oil from a full 150- gallon oil tank. Then you are to pack 24 quarts of oil in a case to ship to a store. How many full cases of oil can you get from a full 150- gallon oil tank?
Answer:
25
Step-by-step explanation:
I gallon is 4 quarts so that would be a 600 quarts oil tank so since each case is 24 quarts 600/24 = 25
150 gallons of oil is equivalent to 600 quarts. A full 150-gallon oil tank can yield 25 full cases, with each case containing 24 quarts
The concept used to solve the problem is conversion:
The conversion factor that 1 gallon is equal to 4 quarts.
Given that,
Job: Fill quart-size bottles of oil from a full 150-gallon oil tank.
Packaging: Pack 24 quarts of oil in a case to ship to a store.
Tank Capacity: The oil tank is full and has a capacity of 150 gallons.
Convert the measurements to a common unit.
Since we have to fill quart-size bottles,
Convert 150 gallons to quarts.
Since 1 gallon is = 4 quarts,
So 150 gallons would be 150 x 4 = 600 quarts.
To determine how many full cases of oil we can pack from 600 quarts. Each case contains 24 quarts.
To find the number of cases,
Divide the total number of quarts by the number of quarts per case:
600 quarts ÷ 24 quarts/case
= 25 cases.
Therefore,
You can get 25 full cases of oil from a full 150-gallon oil tank.
To learn more about the measurement unit visit:
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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