The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is
prime". Let B be the event "the outcome is a divisor of 3". Find P(A|B).
Answers
Answer:
P(A|B) = 0.5
Step-by-step explanation:
A: set of prime numbers ={1,2,3}
B: set of divisors of 3 ={1,3}
P(A)=P(1)+P(2)+P(3)= 0.1+0.1+0.3 =0.5
P(B)=P(1)+P(3)=0.1+0.3=0.4
P(A|B) means: probability of A knowing that B
In other words we have to find the probability that a prime outcome occurs knowing that it is a divisor of 3
Its formula is given by:
P(A|B) = P(AintersectionB) /P(B)
A intersection B: outcome is prime and a divisor of 3 at the same time. (common elements between sets A and B)
A int B= {1,3}
P(AintB)= P(A)xP(B) = 0.5x0.4=0.2
Now back to the formula:
P(A|B) =P(AintB) / P(B)
=0.2/0.4=0.5
HOPE THIS HELPS :)
Related Questions
IM NOT SURE HOW TO SOLVE THIS CAN SOMEBODY HELP ME
Answers
Answer:
The y-intercept is the point (0, 128).
The x-intercepts are the points (-4, 0) and (-8, 0).
As x → ∞, y → ∞.
As x → -∞, y → -∞.
Step-by-step explanation:
To find the y-intercept, substitute 0 for x and solve for y.
P(x) = (x + 4)²(x + 8) P(0) = (0 + 4)²(0 + 8)P(0) = (4)²(8)P(0) = 16 * 8 P(0) = 128The y-intercept is (0, 128).
To find the x-intercept, substitute 0 for y and solve for x.
0 = (x + 4)²(x + 8)Set the first term, (x + 4)², equal to 0.
0 = (x + 4)²0 = x + 4 -4 = xx = -4Set the second term, (x + 8), equal to 0.
0 = x + 8 -8 = xx = -8The x-intercepts are the point (-4, 0) and (-8, 0).
Look at the degree and leading coefficient of the polynomial to determine the end behavior, and therefore you can determine how y behaves as x gets closer to infinity.
Since the degree of the polynomial is odd (3) and the leading coefficient is positive, the graph falls to the left and rises to the right.
So, as x → ∞, y → ∞ and as x → -∞, y → -∞.
If you want to verify this, plug the equation into your calculator and look at the graph. How does it behave as you look at negative x-values? How about for positive x-values?
What is the volume of this container?
Answers
Answer:
6000 cm^3
Step-by-step explanation:
2(10 * 20 * 15) = 6000
survey showed that the probablity that an e
claimed that he could help place any employee in
id in a job that Is sultable for the employee Is 0.65. A psychometric test consultant
company decides to take this test. The test has an a
based on the result of a psychometric test. An employee working in a particular
rate of 70%. This data is represented in the tree diagram.
fest predicts that
the employee is in
probability that
the employee
is in the
test precicts t
wrong job
the employee is in
the wrong job
Select the correct answer.
Which of these probability values fit the tree diagram?
RA) = 0.35, P(6) = 0.65, RQ) = 0.70, P(O) = 0.30, P(E) = 0.30, P(A) = 0.70
O B. PA) = 0.35, P(6) = 0.65, A(Q) = 0.70, R,D) = 0.30, A8) = 0.70, RA = 0.30
O c.
14) = 0.35, P(6) = 0.65, PQ) = 0.30, P(O) = 0.70, RJ8) = 0.70, AA = 0.30
= 0.30, PA = 0.70
Answers
Answer:
A survey shows that the probability that an employee gets placed in a suitable job is 0.65. So, the probability he is in the wrong job is 0.35.The test has an accuracy rate of 70%. So, the probability that the test is inaccurate is 0.3. Thus, the probability that someone is in the right job and the test predicts it wrong is The probability that someone is in the wrong job and the test is right is
Two angles are complementary (the sum of the two angles is 90°). The sum of the first
angle plus twice the second angle is 128°. Find the measures of the angles.
Answers
Answer:
A = 52º AND B=38º
Step-by-step explanation:
Let's call A and B the two angles.
First condition: A + B = 90º
Second cond: A + 2B = 128º
Subtract the first condition to the second: B = 38º
Replace the value of B in any of the 2 conditions; e.g. in the first.
A + 38º = 90º
A = 90º - 38º = 52º
An airplane company flies 45 airplanes daily. The CEO collects the following passenger counts for a random sample of airplanes
from the fleet, as shown below.
119, 138, 157, 85, 157, 119, 138, 119, 157, 85
Assuming that the sample is representative of the entire fleet of airplanes, what would be the mean daily passenger count per
plane?
A. 124.75
В. 135.9
C. 127.4
D. 128.5
Answers
Step by step:
Start with 10 flights it gives you
Assuming this data is rhe same for each 10 flights you should divide 45 by 10 to get an average of 4.5. (the amount of sets of 10 planes) You then use this number as a constant multiplying it by the number of planes with the same amount of passengers.(in this case 3 flights with 119 passengers) So that would look like this: 4.5 x 3=13.5 (the number of total flights with 119 passengers) Continue to do this with each number set, add them all up, and divide them by the total number of planes, 45.
Rob and Mike are selling cookie dough
for a school fundraiser. Customers can
buy packages of white chocolate chip
cookie dough and packages of oatmeal
cookie dough. Rob sold 12 packages of
white chocolate chip cookie dough and
6 packages of oatmeal cookie dough for
a total of $192. Mike sold 6 packages of
white chocolate chip cookie dough and
12 packages of oatmeal cookie dough
for a total $222. What is the cost of one
package of white chocolate chip cookie
dough and one package of oatmeal
cookie dough?
Answers
The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the cost of white chocolate chip and y represent the cost of oatmeal dough, hence:
12x + 6y = 192 (1)
Also:
6x + 12y = 222 (2)
From both equations:
x = 9, y = 14
The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.
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Please help me with this question
Answers
Where is the question?
Find a degree 3 polynomial with real coefficients having zeros 3 and 1 − 4i and a lead coefficient of 1. Write P in expanded form.
Answers
[tex]\text{Let,}\\\\~~~~~~~x=1-4i,\\\\\implies x-1 = -4i\\ \\\implies (x-1)^2 =(-4i)^2\\\\\implies x^2 -2x +1 = -16\\\\\implies x^2 -2x +1 +16 = 0\\\\\implies x^2 -2x +17=0\\\\\text{So,}~ x^2 -2x +17 ~\text{is a factor of the 3 degree polynomial.}\\ \\\text{The polynomial is,}\\\\P(x) = (x-3)(x^2 -2x +17)\\\\~~~~~~~=x^3-2x^2+17x -3x^2 +6x -51\\\\~~~~~~~=x^3 -5x^2 +23x -51[/tex]
is (x-4) a factor of f(x)=x^3-2x^2+5x+1 explain your reasoning
Answers
Answer:
No.
Step-by-step explanation:
It's simpler than you might expect.
If [tex](x - 4)[/tex] is a factor, then it means that it the function [tex]f(x) = x^3 - 2x^2 + 5x + 1[/tex] can have [tex](x - 4)[/tex] factorised out.
This means that we can say [tex](x - 4) = 0[/tex]
Therefore [tex]x = 4[/tex]
If we put [tex]x = 4[/tex] into the equation:
[tex]f(4) = (4)^3 - 2(4)^2 + 5(4) + 1\\= 64 - 32 + 20 + 1\\= 53[/tex]
We didn't get 0, therefore it isn't a factor!
Write the following expression in terms of logs of x,y and z
Show steps
Answers
We can write the log expression in terms of the log of x, y, and z as expression 1/2(logx+2logy-8logz).
What is a logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\\\log_ac = b[/tex]
We have an expression in logarithm:
[tex]=\rm log\sqrt{\frac{xy^2}{Z^8} }\\\\=log(\frac{xy^2}{Z^8})^{\frac{1}{2} }\\\\=\frac{1}{2}log(\frac{xy^2}{Z^8})[/tex] [tex](\rm loga^b = (b)log(a))[/tex]
[tex]\rm\frac{1}{2} (log(xy^2)-logz^8)[/tex] [tex](\rm log(\frac{a}{b} )= loga - logb)[/tex]
[tex]\rm\frac{1}{2} (log(x)+log(y^2)-logz^8)[/tex] [tex](\rm logab = loga+logb)[/tex]
[tex]\rm\frac{1}{2} (log(x)+2log(y)-8logz)[/tex]
Thus, we can write the log expression in terms of the log of x, y, and z as 1/2(logx+2logy-8logz).
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What is the answer?
2/5 + 3/4
Answers
Take LCM
5×4=20Now
2/5+3/48+15/2023/20Answer:
23/20
Step-by-step explanation:
2/5 + 3/4
LCM = 5 * 4 = 20
=》2/5 * 4/4 = 8/20
=》3/4 * 5/5 = 15/20
So,
2/5 + 3/4
= 8/20 + 15/20
= 23/20
_________
Hope it helps ⚜
It takes 4 people 6 days to build a wall. How long would it take 6 people to build the same wall?
Answers
Answer:
1 day
Step-by-step explanation:
4=6
2=3
2*3=6
so 3/3=1
It would take 6 people to build the wall 1 day
It takes 4 days to build the same wall with 6 people based on the given ratio.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
It takes 4 people 6 days to build a wall.
The number of people days taken = 4 x 6 = 24 people takes
This means if one person wants to build them it takes 24 days.
For 6 people the time taken will be 24/6 = 4 days.
Hence "It takes 4 days to build the same wall with 6 people based on the given ratio".
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HELP ME PLEASE!!
Given: AABC is equilateral
Find the length of segment BC.
Answers
Answer:
D
Step-by-step explanation:
1) if sin(ACB)=BC/BD, then BC=BD*sin(ACB);
2) m(ACB)=60°, then sin(ACB)=√3/2, then
3) BC=5/(√3/2)=10/√3 or 10√3/3.
-10.3r = 1.03 what is R?
Answers
Answer:
r= -0.1
Step-by-step explanation:
The expression 6 (Squared3)×4 (Squared 2) is equivalent to which of the following numerical expressions?
18 x 8
216 x 16
24 (Squared 6)
(6 x 4) (Squared5)
Answers
Answer:
216 x 16
Step-by-step explanation:
Given
6³ x 4²Simplify into prime factors.
(2 x 3)³ x (2²)²2³ x 3³ x 2⁴2⁷ x 3³128 x 273456Now, for it to be equivalent, on dividing 3456 by the product of the expression, the quotient should be 1.
Evaluating the options
18 x 8
3456 ÷ (18 x 8)3456 ÷ 14424Incorrect216 x 16
3456 ÷ (216 x 16)3456 ÷ 34561Correct24⁶
3456 ÷ 24⁶3456 ÷ 191102976Answer will be less than 1, so this isn't itIncorrect(6 x 4)⁵
3456 ÷ (6 x 4)⁵3456 ÷ (24)⁵3456 ÷ 7962624Here also the quotient will be less than 1Incorrect216 x 16 is the correct answer
Amelia is conducting a survey in their neighborhood about noise pollution.
Choose three things they should do to get a representative sample and check that it is representative.
Answers
Amelia should randomly choose people only in their block.
Amelia should ask people what part of the neighborhood they live in.
Amelia should ask people their age.
What is representative sample?A representative sample are data collected from small group of individual which can be use to represent a large population of people so as to reach a conclusion.
Most researcher tend to make use of representative sample when they want to draw a conclusion as it save time and reduce the stress of having to carryout survey on a larger population.
Therefore Amelia should randomly choose people only in their block.
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Answer:
heres what i got!
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
x=124
y=124
Step-by-step explanation:
if the number next to x is 56
180-56=124
x=124
and x=y
if that is the whole question
need a good explanation, i dont get how to get the answer.
Fifteen years ago, Russell bought his house for $141,000. The house’s property value has decreased by 1.6% per year ever since then. If Russell sells his house, how much is it worth, to the nearest hundred dollars?
a.
$110,700
b.
$107,200
c.
$67,100
d.
$37,900
Answers
Answer:
141000 * (1 - 0.016)^15 = 110699.48 = A 110700
Step-by-step explanation:
1st year depreciation = 141000 - (141000 * 0.016) = 138744
2nd year depreciation = 138744 - (138744 * 0.016) = 136524.096
3rd year depreciation = 136524.096 - (136524.096 * 0.016) = 134339.710464
etc. unitl you reach the 15th year
Basically we calculate 1.6% of the current value of the house and subtract that from the current value for each year for 15 years.
The equation used in the answer is a faster way to approach your answer instead of calculating for each year.
You'd multiply your initial value by the difference in percentage (note well that since it is decreasing in value we subtract the decimal equivalent to 1.6% which is 0.016, from 1 where one represents 100% and then raise the difference gained to the power of the amount of years which would be 15.
which expression is equivalent to (x^9yz^4)^5
Answers
Applying the rule of exponent, the equivalent expression is: [tex]x^{45}y^{5}z^{20}[/tex]
What is the Rule of Exponents?One of the rules of exponents is given as, [tex](xy)^m=(x^m)(y^m)[/tex].
Therefore, given:
(x9yz4)5
To find the equivalent expression, apply the rule of exponents as shown below:
[tex](x^9yz^4)^5=(x^{9*5})(y^5)(z^{4*5})[/tex]
[tex](x^9yz^4)^5=x^{45}y^5z^{20}[/tex]
Therefore, applying the rule of exponent, the equivalent expression is:
[tex]x^{45}y^{5}z^{20}[/tex]
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what is 3/4 in a percent
Answers
Answer:
75%
Step-by-step explanation:
Convert the fraction into a decimal number. Multiply the obtained decimal number by 100, to get a percent value.
Answer:
3/4 in a percent is 75%
Step-by-step explanation:
To change a fraction to a decimal you divide the numerator by the denominator. In this case that would be 3 divided by 4 which is 0.75, to change the decimal to a percent you move the decimal two places to the right.
Help help help help math
Math
Answers
Answer:
Hope the picture will help you. And Please Mark me brilliant!!!
Product of 630 and 7.2X 10 to the 4th power
Answers
Put it into your calculator
Product means multiply [tex]\times[/tex]
4th power means [tex]10^4[/tex]
[tex]630\ \times\ 7.2\times10^4 = 45360000 = 4.536\times10^7[/tex]
Help please fast ong im begging
Answers
Answer:
(x + 3)(x + 5)
Step-by-step explanation:
Find two numbers that multiply to 15 and add to 8.
The numbers are 3 and 5.
x² + 8x + 15 = (x + 3)(x + 5)
33. Construct a truth table to show that the following argument is valid.
pv q
~p
_____
.: Q
pleaseeeeeee
Answers
Answer:
see attached
Step-by-step explanation:
Perhaps you want to show that P∨Q will be equal to Q when ¬P is true. Attached is a truth table that shows this is the case.
__
This is simply a restatement of the logic of the OR function. When one its inputs is a logical 0 (false), the output depends on the other input(s).
hromosome 13 in the human body contains a DNA molecule that is about 3.19 centimeters long.
What is the combined length of 102 of these molecules?
Answers
Answer:3,190 centimeters
Step-by-step explanation:
math is easy
find the volume of 20m, 5m, 18m
Answers
Answer:
600 m³
Step-by-step explanation:
The shape we have is a rectangular pyramid:
Formula: (volume of a rectangular pyramid)
Volume = (1/3) × Base Area × height
___________________________
In our case :
Base area = L × W = 20 × 18 = 360 m²
height = 5 m
⇒ Volume = (1/3) × Base Area × height
[tex]\Longrightarrow \text{volume} \ =\ \frac{1}{3} \times 360\times 5[/tex]
[tex]\Longrightarrow \ \text{volume} \ =\ 600\ m^{3}[/tex]
Which is an example of why higher education typically has a positive return on investment (ROI)?
The jobs you can get with higher education will earn more money than jobs without a degree or certificate.
Higher paying jobs come with experience, not with earning a degree or certificate.
Higher education usually results in a lot of debt which can be difficult to afford.
The highest paying jobs come with a high school diploma which is an important reason to finish high school.
Answers
Answer:
Higher education loans generally have a positive ROI because you are building skills and work experience that can increase your future earnings. More education is correlated with higher lifetime earnings.
Step-by-step explanation:
The jobs you can get with higher education will earn more money than jobs without a degree or certificate.
What is return on investment?The term return on investment refers to the profit that one makes from an investment. Higher education is a very profitable investment for an individual.
here,
Higher education loans generally have a positive ROI because you are building skills and work experience that can increase your future earnings. More education is correlated with higher lifetime earnings.
The jobs you can get with higher education will earn more money than jobs without a degree or certificate.
The example of why higher education typically has a positive return on investment (ROI) is the jobs you can get with higher education will earn more money than jobs without a degree or certificate.
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Adam says 0.25 is smaller then 2
_
5
Explain why he is correct
Answers
Step-by-step explanation:
0.25 = 1/4 is not reach to 1
2 is an integral number.
So, 0.25 is smaller than 2
Answer:
2/5 is equal to 0.40, which is higher than 0.25
Step-by-step explanation:
2 ÷ 5= 0.4 which is the same as 0.40
Riya has 5 times as many apples as Tyler. Together they have 24 apples. How many apples does Riya have?
Answers
Answer:
Riya have 20 apples
Step-by-step explanation:
Let, Tyler have x apples
Then, Riya have 5x apples
Now, From the question,
5x + x =24
or, 6x =24
or, x = 24/6
or, x = 4
Tyler have 4 apples
Again,
Riya have 5x apples
=5*4
=20
Therefore, Riya have 20 apples
How do I get this problem started
Answers
Then subtract 120-36 cause she buys the book.
Which equals. 84
Then you have to subtract 84 from what I said at the beginning