FILL IN THE BLANK. If n(E1 and E2​)=3
and
​n(E1​)=12​,
then
​P(E2​|E1​)=​_______.
If n(E1 and E2) = 3 and n(E1) = 12, then P(E2|E1) = 1/4. To find the probability P(E2|E1), given that n(E1 and E2) = 3 and n(E1) = 12, we'll use the conditional probability formula. The formula is P(E2|E1) = P(E1 and E2) / P(E1).
Step 1: Find the probabilities of the events.
P(E1) = n(E1) / total outcomes = 12 / total outcomes
P(E1 and E2) = n(E1 and E2) / total outcomes = 3 / total outcomes
Step 2: Plug the probabilities into the conditional probability formula.
P(E2|E1) = P(E1 and E2) / P(E1)
Step 3: Substitute the values from Step 1 into the formula.
P(E2|E1) = (3 / total outcomes) / (12 / total outcomes)
Step 4: Simplify the expression.
P(E2|E1) = 3/12
Step 5: Reduce the fraction to the simplest form.
P(E2|E1) = 1/4
So, the probability of event E2 occurring given that event E1 has occurred is 1/4 or 0.25.
To know more about probability click here
brainly.com/question/30034780
#SPJ11
help me please i don’t get it
Answer:
I'm not the best sorry
Step-by-step explanation:
Solve:
-4 <-2x + 2 < 10
Answer:
3 > x > − 4 and your welcome bud
Isabella has $0.50 worth of nickels and dimes. She has a total of 7 nickels and dimes
altogether. By following the steps below, determine the number of nickels, x, and the
number of dimes, y, that Isabella has.
Determine three ways to have a total of 7 coins:
Pls help
Five nickels plus two dimes totaling
combining for a sum of $0.45.
three nickels and four dimes respectively
combining for a sum of $0.55.
two nickels and five dimes denoting x = 2, y = 5
combining for a sum of $0.60.
How to determine three ways to have a total of 7 coins3 ways to achieve a total of 7 coins with nickels (N) and dimes (D), and their corresponding values are
Five nickels plus two dimes totaling x = 5, y = 2 respectively. The value of five nickels = $0.25
two dimes = $0.20
combining for a sum of $0.45.
three nickels and four dimes respectively depositing x = 3, y = 4
3 nickels = $0.15
4 dimes = $0.40
combining for a sum of $0.55.
two nickels and five dimes denoting x = 2, y = 5
2 nickels = $0.10
5 dimes = $0.50
combining for a sum of $0.60.
Learn more about nickels and dimes at
https://brainly.com/question/24342899
#SPJ1
The value of y varies directly with x, where LaTeX: y=50y = 50 when LaTeX: x=40x = 40. Find the value of x when y is 10.
Group of answer choices
LaTeX: x=8 x = 8 x = 8 x = 8 x = 8 x = 8 x = 8 x = 8
LaTeX: x=12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5
LaTeX: x=1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25
LaTeX: x=0
Answer:
x= 8
Step-by-step explanation:
The equation of direct variation is
y = kx
When y = 50 when x = 40
50 = k* 40
Divide each side by 40
50/40 = k
5/4 = k
The equation is
y = 5/4x
Let y = 10
10 = 5/4x
Multiply each side by 4/5
4/5 * 10 = 5/4 x * 4/5
8 = x
Solve the expression and find the value of x.
\( \frac{x + 1}{10} - \frac{3(x - 1)}{5} = 2 \)
\(\large\underline{\sf{Solution-}}\)
\(\sf \dfrac{x + 1}{10} - \dfrac{3(x - 1)}{5} = 2\)
\(\sf\longmapsto \dfrac{x + 1}{10} - \dfrac{3x - 3}{5} = 2\)
\(\sf\longmapsto \dfrac{(x + 1) - 2(3x - 3)}{10} = 2\)
\(\sf\longmapsto \dfrac{x + 1 - (6x - 6)}{10} = 2\)
\(\sf\longmapsto \dfrac{x + 1 - 6x + 6}{10} = 2\)
\(\sf\longmapsto \dfrac{ - 5x + 7}{10} = 2\)
\(\sf\longmapsto - 5x + 7 = 20\)
\(\sf\longmapsto - 5x = 20 - 7\)
\(\sf\longmapsto - 5x = 13\)
\(\sf\therefore x = - \dfrac{13}{5} \)
Hence, the value of x will be -13/5 respectively.
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
\(\frac{x + 1}{10} - \frac{3(x - 1)}{5} = 2 \\ \)
\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\(\frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = 2 \\ \frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = \frac{2}{1} \)
Take a look at the denominators. The denominators are 10, 5 & 1. Their LCM is 10. So, multiply the fractions on both the sides of the equation by 10.
\(\frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = \frac{2}{1} \\ \frac{x + 1}{10} \times \frac{1}{1} - \frac{3x - 3}{5} \times \frac{2}{2} = \frac{2}{1} \times \frac{10}{10} \\ \frac{x + 1}{10} - \frac{6x - 6}{10} = \frac{20}{10} \)
Now cancel the denominators (as they have the same value) & take the numerators.
\(x + 1 - (6x - 6) = 20 \\ \)
Now, simplify it.
\(x + 1 - (6x - 6) = 20 \\ x + 1 - 6x + 6 = 20 \\ x - 6x + 1 + 6 = 20 \\ - 5x + 7 = 20 \\ - 5x = 13 \\ x = -\frac{13}{5} \\ \boxed{ \boxed{ \bf x = - \frac{13}{5} =\: - 2 \frac{3}{5} = - 2.6}}\)
__________________
Hope it'll help you!
ℓu¢αzz ッ
Can someone help me please
I will give Brainiest
Don’t need to show work
Answer:
24
Step-by-step explanation:
Do tell me if you ever change your mind and want me to show work :)
what could -15-5 represent
Answer:
-20
Step-by-step explanation:
-15 - 5 is -20.
I hope that this helps! :)
Joni climbed 230 feet up a hill and then rappelled down 300 feet into a valley.
Write an addition expression to represent the situation
Answer:
230-300= -70
All you have to do is subtract :)
You are given a choice of taking the simple interest on $100,000 invested for 4 years at a rate of 2% or the interest on $100,000 invested for 4 years at an interest rate of 2% compounded quarterly. Which investment earns the greater amount of interest? Give the difference between the amounts of interest earned by the two investments.
Answer: The second type of investment earns greater amount of interest.
Step-by-step explanation:
1)
SI = prt / 100
= 10000 x .02 x 4
= 8000
2)
At compound intetest
A = P(1 + r/n)^nt
= 108307.12
Interest = 108307.12 - 100000 = 8307.12
Difference
8307.12 - 8000 = 307.12
Please help
Which equations represent linear functions?
Select all that apply.
y=x(2x+4)
x=2y+4
y=x2−19
y=3x2 squared 2
x=y
Answer:
x = 2y+4
y = 3x2 squared 2
x = y
Step-by-step explanation:
Eduardo attends a slime convention in Louisville, Kentucky. He buys a watermelon slime for $9.00 and a waffle slime for $8.50. Louisville’s sales tax is 6%.
What is the sales tax on this purchase?
If necessary, round the amount of tax to the nearest 100th.
A: Not Here
B: $1.10
C: $1.05
D: $10.50
Answer:
1.05 dollars will be ur answer ;)
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLIEST!!) The function f(x) = 2x + 4 is shifted 3 units to the right to create g(x). What is g(x)?
what property of real numbers does each statement demonstrate a+b=b+a
Answer: a+b=b+a is a clear example of commutative property.
Step-by-step explanation: The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.
Without multiplying, determine the sign of the product (−247,634) × (183,758).
the sign will be a negative sign -
Answer:
IN a series of multiplications (or divisions)
add up the negative signs ... if they are even the answer is positive "+"
the there is an odd number the answer will be negative "-"
Step-by-step explanation:
(1 point) Find the limit of the sequence: 5n²+2n+6 an 8n²+2n+5 Limit=
To find the limit of the sequence \(5n² + 2n + 6 and 8n² + 2n + 5\), we'll divide each expression by n². This yields the following: \($$\frac {5n^2 + 2n + 6}{n^2}$$and$$\frac {8n^2 + 2n + 5}{n^2}$$\) When n tends to infinity, it can be observed that the coefficient of the leading term, n², will be more significant than all other terms in the expressions.
The limit can be obtained by calculating the ratio of the coefficient of the leading terms of both expressions, that is, 5 and 8. Thus, we have:
\($$\lim_{n \to \infty} \frac{5n^2 + 2n + 6}{n^2} = 5$$ and$$\lim_ {n \to \infty} \frac{8n^2 + 2n + 5}{n^2}\)
= 8$$Therefore, the limits of the sequences 5n² + 2n + 6 and 8n² + 2n + 5 are 5 and 8, respectively.
To know more about sequence visit:
https://brainly.com/question/30262438
#SPJ11
What is the dilation
Answer:
It looks to me that maybe a dilation of 1/2 or 1/3
Step-by-step explanation:
ng
10
8
6
4
2
10 8 64-2
-2
4
6
-8
618
-10
ctrich ar Of EICS
y
2 4 6 8 10
x
Ta OnciC
A circle centered at the origin contains the point
(0, -9). Does (8, √17) also lie on the circle? Explain.
O No, the distance from the center to the point
(8, √17) is not the same as the radius.
O No, the radius of 10 units is different from the
distance from the center to the point
(8, √17).
O Yes, the distance from the origin to the point
(8, √17) is 9 units.
O Yes, the distance from the point (0, -9) to the point
(8, √17) is 9 units.
Approximate value of √17
~4+So the point is (8,4)
As we can see in graph the point is contained by the circle
Hence the distance
√(0-8)²+(9-4)²√8²+5²√89Approximately 9 units
Option D
Answer:
Yes, the distance from the origin to the point (8, √17) is 9 units
Step-by-step explanation:
Equation of a circle
\((x-a)^2+(y-b)^2=r^2\)
where:
(a, b) is the centerr is the radiusGiven:
center = (0, 0)r = 9Substitute the given values into the formula to create the equation of the circle:
\(\implies (x-0)^2+(y-0)^2=9^2\)
\(\implies x^2+y^2=81\)
To find if point \(\sf (8, \sqrt{17})\) lies on the circle, substitute x = 8 into the found equation and solve for y:
\(\implies 8^2+y^2=81\)
\(\implies 64+y^2=81\)
\(\implies y^2=81-64\)
\(\implies y^2=17\)
\(\implies y=\sqrt{17}\)
As y = √17 when x = 8, this proves that point (8, √17) lies on the circle.
The distance from the origin to any point on the circle is the radius.
Therefore, as the radius is 9 units, the distance from the origin to the point (8, √17) is 9 units.
Omega Instruments budgeted $430,000 per year to pay for special-order ceramic parts over the next 5 years. If the company expects the cost of the parts to increase uniformly according to an arithmetic gradient of $10.000 per year, what is the cost estimated to be in year 1 at an interest rate of 18% per year. The estimated cost is $
The estimated cost in year 1 is $526,400.
The initial cost is $430,000, and the cost increases uniformly according to an arithmetic gradient of $10,000 per year. At an interest rate of 18% per year, the estimated cost in year 1 is $526,400.
The arithmetic gradient is the fixed amount added to the previous value to arrive at the new value. An example of an arithmetic gradient is an investment or a payment that grows at a consistent rate. The annual increase in cost is $10,000, and this value remains constant throughout the five-year period.
The formula for arithmetic gradient is:
Arithmetic gradient = (Final cost - Initial cost) / (Number of years - 1)
The interest rate, or the cost of borrowing, is a percentage of the amount borrowed that must be repaid along with the principal amount. We will use the simple interest formula to calculate the estimated cost in year 1 since it is not stated otherwise.
Simple interest formula is:
I = Prt
Where: I = Interest amount
P = Principal amount
r = Rate of interest
t = Time period (in years)
Calculating the estimated cost in year 1 using simple interest:Initial cost = $430,000
Arithmetic gradient = $10,000
Number of years = 5
Final cost = Initial cost + Arithmetic gradient x (Number of years - 1)
Final cost = $430,000 + $10,000 x (5 - 1)
Final cost = $430,000 + $40,000
Final cost = $470,000
Principal amount = $470,000
Rate of interest = 18%
Time period = 1 yearI = PrtI = $470,000 x 0.18 x 1I = $84,600
Estimated cost in year 1 = Principal amount + Interest amount
Estimated cost in year 1 = $470,000 + $84,600
Estimated cost in year 1 = $554,600 ≈ $526,400 (rounded to the nearest dollar)
Therefore, the estimated cost in year 1 is $526,400.
Know more about estimated cost here,
https://brainly.com/question/33047951
#SPJ11
What is another way to write 6
4 ?
Answer:
Do you mean 64? because if so another way to write it is
2x32
4x16
8x8 etc.
OR
8²
4³
\(2^{6}\)
Step-by-step explanation:
hope this helps?
Answer: 1 1/2 or 1.5
Step-by-step explanation:
First you take 6/4 and turn it in to a mixed fraction 1 2/4 which then you can divide 2/4 divide by 2 like this 2 divided by 2 which it turns it 1 and 4 divided by 2 which 2 so then it turns in to 1/2
hope this help you
The circumference, or perimeter, of a circle can be found by multiplying its diameter by 3.14. What is the circumference of a circle that has a diameter of 1/2 inch? Express your answer as a decimal.
Answer: 1.571 inches
Step-by-step explanation:
The formula for a circumference of a circle is C = 2πr, where r is the radius of the circle. The radius is half of the diameter. We know that the diameter is 1/2 of an inch, so the radius is 1/4 of an inch.
So, plug 1/4 for r to get C = 2π(1/4) or approximately 1.571 inches.
The graph represents the relationship between x (the number of owls fed) and y (the number of rev dollars spent). What is the amount of money that will be spent to feed 10 owls? pls hurry
Answer:
Step-by-step explanation:
Since this is a test/homework, I'll give you a hint.
For a linear graph, if you took a ruler, and traced the "dots", it should always be in a straight line.
Another way, is finding a pattern. I can't really explain this so much, since it's fairly basic. Just find two dots, and see if they are similar in any way. If they are, good job! Find another. If their isn't, maybe try searching for another.
The third way: You could use the equation mx+b=y, but this is just a bit ridiculous for this problem, since you could just eye it.
Hope this helps!
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
Learn more about division here:
https://brainly.com/question/29401139
#SPJ1
Only got a few mins, please help
Can you please help me thank you so much I really appreciate it if you up
Answer
$12.41
Step-by-step explanation
1 pound is equivalent to $0.85 in the shipping fee.
To find the shipping fee equivalent to 14.6 pounds, we can use the next proportion:
\(\frac{1\text{ pound}}{14.6\text{ pounds}}=\frac{0.85\text{ \$}}{x\text{ \$}}\)Cross-multiplying and omitting the units:
\(\begin{gathered} 1\cdot x=0.85\cdot14.6 \\ x=\text{ \$}12.41 \end{gathered}\)Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points) Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.
Answer: part A: 5.4 because its a terminating deciaml Part B: 5.67854... and to the nearest hundereth is 5.68
Step-by-step explanation:
Rosie's Bakery just purchased an oven for $1,970. The owner expects the oven to last for 10 years with a constant depreciation each year. It can then be a) Find a linear equation modeling the value of the oven, y, after x years of use. b) Find the value of the oven after 2.5 years.
c) Find the y-intercept. Explain the meaning of the y-intercept in the context of this problem. d) Graph the equation of the line. Be sure to label the axes,
(a) To find a linear equation modeling the value of the oven, we can use the given information that the oven depreciates at a constant rate each year.
The initial value of the oven is $1,970, and it depreciates linearly over the course of 10 years. We can set up the equation as follows:
y = mx + b
where y is the value of the oven, x is the number of years of use, m is the depreciation rate per year, and b is the initial value of the oven. Since the oven depreciates, the value of m will be negative.
(b) To find the value of the oven after 2.5 years, we substitute x = 2.5 into the equation from part (a) and solve for y.
(c) The y-intercept represents the initial value of the oven, which is $1,970 in this case. In the context of this problem, the y-intercept signifies the value of the oven at the beginning, when it was first purchased.
(d) The graph of the linear equation will be a straight line with a negative slope. The x-axis represents the number of years of use, and the y-axis represents the value of the oven. The line will start at the y-intercept (1,970) and decrease linearly as the number of years of use increases.
Learn more about linear equations here:- brainly.com/question/12974594
#SPJ11
find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy. (note: start your answer with y
The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.
To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:
We have:
Point: (0, 1)
Slope: 5xy
We can start by integrating the slope function to find the equation of the curve:
∫(dy/dx) dx = ∫(5xy) dx
Integrating both sides:
∫dy = ∫(5xy) dx
Integrating with respect to y on the left side gives us:
y = ∫(5xy) dx
To solve this integral, we treat y as a constant and integrate with respect to x:
y = 5∫(xy) dx
Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:
y = 5 * (1/2) * x^2y + C
Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:
1 = 5 * (1/2) * (0)^2 * 1 + C
1 = C
Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:
y = 5 * (1/2) * x^2y + 1
Simplifying further, we have:
y = (5/2) * x^2y + 1
To know more about equation of the curve refer here:
https://brainly.com/question/31467851#
#SPJ11
help find the missing length
The missing length of the composite rectangular figure is s = 10 feet
Given data ,
Let the missing length of the figure be = s
Now , let the width of the larger side of the rectangle be = 16 feet
Let the width of the smaller side of the rectangle be = 6 feet
So , Perimeter P of rectangle = 2 ( Length + Width )
The missing side of rectangle s = 16 - 6
s = 10 feet
Hence , the missing side is s = 10 feet
To learn more about perimeter of rectangle click :
https://brainly.com/question/15725265
#SPJ1
*PLEASE ANSWER!! I DONT GET IT!!*
What would the monthly loan payment be for a car that costs $25,000 if your loan is for 5 years at a rate of 8% per year?
a.) $506.91
b.) $600.56
c.) $1,056.91
Answer:
506.91
Step-by-step explanation:
Either that or it is D