Answer: 0.9
Step-by-step explanation:
The probability is 1 - 0.1
= 0.9
What effect does switching the explanatory response variables have on the regression line?
A. The value of b is unchanged, but the sign and value of m change.
B. The sign of m is unchanged, but the values of m and b change.
C. The value of m is unchanged, but the sign of m and value of b change
D. The sign and value of m is unchanged, but the value of b changes.
E. The sign and value of m and the value of b all change
F. Nothing changes.
Effect of switching the explanatory response variables have on the regression line is E) The sign and value of m and the value of b all change.
The y-axis dependent variables and x-axis independent variables are shown as a regression line to show their linear relationship. By examining the data pattern the variables' effects have created, the correlation is established.
In a regression graph, the line closest to the data points is shown. By changing the value of x in the regression equation, his statistical tool assists in analyzing the behavior's of a dependent variable y when there is a change in the independent variable x.
Hence, The sign and value of m and the value of b all change.
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Find the Taylor series for f centered at 9 if f^(n) (9) = (-1)^n n!/7^n (n + 5). sigma^infinity_n = 0 What is the radius of convergence R of the Taylor series? R=
The radius of convergence R of the Taylor series is 2
The term convergence in math is defined as the process of a sequence or other function converging to a limit in a metric space.
Here we have know that the expression is written as,
=> f(x)=ln x, c=2.
By using the Taylor series formula we can write the expression like the following,
=> f(x) = ln(2) + ∑ (-1)ⁿ⁺¹ / n (2ⁿ)
Then the above power series will converge if and only if:
[tex]= > \lim_{n \to \infty} |\frac{-1}{(1+\frac{1}{n} )\times2}\times(x-2) | < 1[/tex]
When we simplify this one then we get,
=> |x-2/2| < 1
Then the value of x lies between 0 to 4.
And the Radius of convergent is 2.
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Ue the following information to anwer thi quetion. Windwept, Inc. 2017 Income Statement
($ in million)
Net ale $ 9,500
Cot of good old 7,540
Depreciation 320
Earning before interet and taxe $ 1,640
Interet paid 93
Taxable income $ 1,547
Taxe 464
Net income $ 1,083
Windwept, Inc. 2016 and 2017 Balance Sheet
($ in million)
2016 2017 2016 2017
Cah $ 270 $ 285 Account payable $ 1,470 $ 1,625
Account rec. 1,080 980 Long-term debt 1,160 1,430
Inventory 1,680 1,670 Common tock 3,340 3,040
Total $ 3,030 $ 2,935 Retained earning 490 740
Net fixed aet 3,430 3,900
Total aet $ 6,460 $ 6,835 Total liab. & equity $ 6,460 $ 6,835
What were the total dividend paid for 2017?
In finance, a dividend is a portion of a company's profits that is distributed to its shareholders. Dividends can be paid in cash or in the form of additional shares of stock. It is a way for a company to return some of its profits to its shareholders.
The information provided for Windwept, Inc. for 2017 includes its income statement and balance sheet. The income statement shows the company's net sales, cost of goods sold, depreciation, earnings before interest and taxes, interest paid, taxable income, taxes, and net income.
The balance sheet provides information on the company's assets, liabilities, and equity, including cash, accounts receivable, inventory, and long-term debt.
However, the information provided does not include the total amount of dividends paid by the company. Therefore, it is not possible to determine the total dividends paid by Windwept, Inc. for 2017 based on the information given.
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Help me please, answer quickly I suck at math and I can't do this.
-3.6<- 10/3 is the answer for above question. -3.6 is lesser than -10/3.
What symbol is greater than?The greater-than sign denotes an inequality between two values in mathematics.The widely used form of two equal-length strokes connected in an acute angle at the right, >, can be found in documents dating back to 1631.> is the greater than symbol. As a result, 9>7 is interpreted as '9 is greater than 7'.The symbol for less than is. (greater than or equal to) and are two other comparison symbols (less than or equal to).Consider the symbols to be an alligator's mouth, with the numbers on each side representing small fish.The alligator will always prefer to consume a greater number of fish. Whichever number is greater, the alligator's mouth opens towards it.To learn more about greater than symbol refer to:
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if the distance to a star was suddenly cut in half, how many times brighter would the star appear?
If the distance to a star was suddenly cut in half, it would appear four times brighter.
The brightness of a star is directly proportional to the inverse square of its distance from us. This means that if the distance to a star is halved, its brightness will increase by a factor of four.
The relationship between brightness and distance can be expressed as follows:
B = k / d^2
where B is the brightness, k is a constant of proportionality, and d is the distance.
If the distance to the star is halved, it can be expressed as:
d' = d / 2
Plugging this into the equation for brightness, we get:
B' = k / (d / 2)^2
Expanding this and simplifying, we get:
B' = 4 * k / d^2
Since k is a constant, it cancels out and we are left with:
B' = 4 * B
This means that if the distance to a star was suddenly cut in half, it would appear four times brighter. In astronomical terms, this is equivalent to an increase of 2 magnitudes on the logarithmic magnitude scale.
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8 _ 6 _ 4 _ 2=6 you can use - ,+, x
Answer:
[tex]+, -, \times[/tex]
Step-by-step explanation:
This is one of those questions where trial and error are used.
Trying out different combos until I get the right answer:
[tex]8-6+4\times2=10[/tex]
[tex]8+6-4\times2=6[/tex]
Nice! The correct answer is [tex]+, -, \times[/tex]
11101001 divided by 101
11101001 can be written as 101001 x 101 + 1. To divide 1101001 by 101, the first step is to divide 101001 by 101 without the remainder.
The result of this division is 1000. Then, take the remainder of 1 and place it next to the 1000 to get 10001. Divide 10001 by 101. The result of this division is 99. Take the remainder of 0 and place it next to the 99 to get 990. Divide 990 by 101. The result of this division is 9. Take the remainder of 9 and place it next to the 9 to get 99. Divide 99 by 101. The result of this division is 0. Take the remainder of 99 and place it next to the 0 to get 990. Divide 990 by 101. The result of this division is 9. The answer is 1101.11.
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it is thursday and an angler is planning a fishing trip in two days on saturday. the angler knows from experience that the fishing is best at a particular location at the beginning of high tide. he does not have a tide table, but the angler noted that the high tide on thursday was at 12:15 pm. at what time on saturday should he plan to arrive to start fishing, assuming that this location has a diurnal tide type?
Assuming the location has a diurnal tide type, the angler should plan to arrive to start fishing at 12:15 pm on Saturday, two days after the high tide on Thursday.
This is because with a diurnal tide type, the high tide occurs at the same time each day, so the angler can expect the high tide to occur at the same time on Saturday as it did on Thursday.
A diurnal tide type is a type of tidal pattern where there is one high tide and one low tide per day. This type of tide is most commonly seen in areas with small and shallow bodies of water, such as bays and estuaries. In diurnal tidal systems, the times of high and low tide usually occur at the same time each day. The height of the tide also usually remains relatively constant over time.
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So this is really confusing and I’ve gotten most of everything else right I had to retake this quiz tho because it’s a large amount of my grade so please help (you just select is it’s one of the answers that’s why I have the selective part open)
(Adding and Subtracting Rational Numbers MC)
Solve 2.86 + (−14.6).
41.76
4.32
−17.46
−11.74
Given measure of arc KT=49 and the measure of arc LN=17 what is the measure of /_M?
The measure of arc KT be 49 and the measure of arc LN be 17 then the measure of ∠M be 30°.
What is meant by measure of arc?Simply put, the arc measure is the diameter of the arc relative to the circle. Since they both describe the same thing, it is literally the same as the central angle. The arc length is what you were presumably thinking about because it refers to both the length and the distance of the arc.
Divide the arc length by the circle's circumference, then multiply the result by 360 degrees to find the angle's measurement.
Any straight line connecting two places is considered an arc in general. The arc length is the measurement of an arc's length. An ordered pair of adjacent vertices is referred to as a graph arc in a graph. Any section of the circle's circumference (other than the complete curve) is referred to as an arc.
Let the measure of arc KT = 49 and the measure of arc LN = 17
measure of ∠M = 30°.
Therefore, the measure of ∠M be 30°.
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What is Doctor B's prior probability for the hypothesis that you do not have cogscitis? ___
Your lack of cogscitis has a previous probability of 0.5 according to Dr. B.
Prior probability quantifies how likely a theory is to be correct before any supporting data are taken into account. Your lack of cognitis has a previous probability of 0.5 according to Dr. B. This means that according to Doctor B, there is a 50/50 likelihood that you do not have cognitis before any supporting evidence is considered. This impartial viewpoint is frequently employed in scientific research and medical diagnostics. Prior probability is a crucial component of Bayesian inference, which is used to update a hypothesis' probability after all available data has been considered. Prior probability can help scientists and medical practitioners make better decisions.
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4. rainy weekend? suppose you're heading off for a long weekend (friday, saturday, and sunday) somewhere and the weather report for your destination says: chance of rain on friday: 10% chance of rain on saturday: 25% chance of rain on sunday: 30% in each part below, find the chance exactly if it can be found using no further assumptions. if it can't be found, then (again using no further assumptions) find the best lower bound and upper bound that you can. a) the chance that it rains in your destination sometime during the long weekend b) the chance that it rains in your destination on all three days of the long weekend
The probability of rain in a place during a long weekend (Friday, Saturday, and Sunday) is 65% . The risk of rain is between 10% and 30% on all three days.
a) The risk of rain in the destination throughout the long weekend may be calculated by adding the chance of rain on each day, which is 10% + 25% + 30% = 65%. As a result, the probability of rain at the destination throughout the long weekend is 65%.
b) The notion of conditional probability may be used to calculate the likelihood that it will rain in the destination on all three days of the long weekend. It is the likelihood of rain on Sunday given that it has already rained on:
Friday and Saturday × (the probability of rain on Saturday given that it has already rained on Friday) × (probability of rain on Friday) ×( the probability of rain on Friday).
The best lower bound for this probability is the 10% chance of rain on any given day, and the best upper bound is the 30% chance of rain on any given day.
As a result, the likelihood of rain at the destination on all three days of the long weekend is between 10% and 30%.
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What is 2% of 50 and i don’t know if it =‘s 1
Answer:
yes youre right its 1
Step-by-step explanation:
2% of 50 is
2/100 = x/50
it simplifies to 1/50 = x/50
so x = 1
Answer:
1
Step-by-step explanation:
2%=2/100=0.02
of means multiply
0.02*50=1
u were correct
find the area of the region bounded by the curves y = sin(x), y = cos(x), x = 0, and x = 2 . solution the points of intersection occur when sin(x) = cos(x), that is, when x
The area bounded by the curve y = sin(x) and y = cos(x) for sin(x) = cos(x) as point of intersection is equal to 2√2.
Area bounded by the curve y = sin(x) and y = cos(x).
Point of intersection for sinx = cosx
⇒ x = π/4 and 5π/4
Required area
= [tex]\int_{\frac{\pi }{4} }^{\frac{5\pi }{4}}[/tex]( sinx - cosx)dx
= ( -cosx - sinx ) [tex]|_ {\frac{\pi}{4} }^ {\frac{5\pi}{4} }[/tex]
= [ -cos(5π/4) - sin(5π/4) ] - [ -cos(π/4) - sin(π/4) ]
= [ -( -1 / √2 ) - (-1 / √2 ) ] - [ -1 /√2 - 1 /√2 ]
= ( 1 + 1 ) / √2 + ( 1 + 1 ) / √2
= ( 2 + 2 ) / √2
= 4 /√2
= 2√2
Therefore, the area bounded by the given curve is equal to 2√2.
The given question is incomplete, I answer the question in general according to my knowledge:
find the area of the region bounded by the curves y = sin(x), y = cos(x), where solution the points of intersection occur when sin(x) = cos(x), that is, when x = π/4 and 5π/4.
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a unit square is rotated $45^\circ$ about its center. what is the area of the blue region swept out by the interior of the square shown below?
The area of the region which is common after rotation of 45 degrees between the two squares is equal to 7.46 cm² and area of the blue region which is swept out by interior region is 1.5442cm².
Measure of the side of the square = 3cm
Degrees of rotation of the square by keeping center fixed = 45 degrees
The region which is swept out by the interior of the square
= Four isosceles right triangles formed at the corners
Sides of the each isosceles right triangle be 's'
Hypotenuse = s√2
Side of the square ABCD is :
s + s√2 + s = 3
⇒ s = 3 / ( 2 + √2 )
⇒ s= 0.8787
Area of the isosceles right triangle formed at the corner
= s² /2
= 0.8787² /2
Area of four triangles = 4 (0.8787² /2)
= 1.5442cm²
Area of the left octagon
= Area of square ABCD - Area of four triangles at the corners
= 3² - 1.5442
= 9 - 1.5442
= 7.456 cm²
=7.46 cm²
Therefore, the area of the region swept out of the square is 1.5442cm² and the area of the region common between two squares is 7.46cm².
The given question is incomplete, I answer the question in general according to my knowledge:
A square ABCD, with sides of 3 cm, is rotated by 45 degrees keeping its center fixed to result into another square, PQRS. What is the area of the region common to the two squares? what is the area of the blue region swept out by the interior of the square shown below?
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two numbers differ by 11. when the larger number is divided by the smaller, the quotient is 2 and the remainder is 4. find the numbers.
When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4 then the two numbers are 18 and 7.
The first number would be x, leaving the other number to be x+11 (which would make it the bigger number) the quotient is:
[tex]$\frac{x+11}{x}[/tex]
Since it had a remainder of 4, it meant that the numerator was 4 more than having the divisor going in evenly ( had 4 left over) or it would have gone in exactly 2 times
It will take away 4 from the number being divided into (for it was just 4 too big for the divisor going in evenly) making
[tex]$\frac{x+11-4}{x}=2$$[/tex]
combine on top
[tex]$\frac{x+7}{x}=2$$[/tex]
Multiply both sides by x so it cancels on the left side with the denominator, giving
x + 7 = 2 x
subtract the x from both sides leaving
7 = x
So 7 was the first number and 18(x+11) is the second number
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Use properties of operations to write an equivalent expression to 17n+9−47n.
A: 9−37n
B: 9−57n
c: 9+37n
D: 9+57n
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{17n + 9 - 47n}[/tex]
[tex]\huge\textbf{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{= (17n - 47n) + (9)}[/tex]
[tex]\mathsf{= 17n - 47n + 9}[/tex]
[tex]\mathsf{= -30n + 9}[/tex]
[tex]\huge\text{Therefore, your answer SHOULD be:}[/tex]
[tex]\huge\boxed{\mathsf{-30n + 9}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Write a linear inequality that, when taken with y > x - 1, form a ytem of linear inequalitie whoe olution et i the empty et
A linear inequality that forms a system of linear inequalities with y > x - 1, whose solution set is the empty set, is y < x - 1.
When taken together, y > x - 1 and y < x - 1 form a system of linear inequalities, but these two inequalities are contradictory and cannot both be true at the same time. Therefore, the solution set of this system is the empty set, meaning there are no solutions that satisfy both inequalities.
To explain in detail, consider the line y = x - 1. When x = 1, y = 0. If y > x - 1, then y must be greater than 0 when x = 1. But if y < x - 1, then y must be less than 0 when x = 1. These two inequalities cannot both be true at the same time, so the solution set of the system is the empty set.
This shows that when two contradictory linear inequalities are taken together, their solution set is the empty set. In this case, y > x - 1 and y < x - 1 are contradictory, and so their solution set is the empty set.
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--The given question is incomplete; the complete question is
"Write a linear inequality that, when taken with y > x - 1, forms a system of linear inequalities whose solution set is the empty set."
The circumference of a circle is 12πcm. How do you find the a) Diameter: b) Radius: c) Area of the circle in terms of π?
Answer:
see below
Step-by-step explanation:
The circumference of a circle is 12πcm. = 2πr
so radius =6
diameter =2r =12
area = πr² =36π
The radius of the circle be 6 cm and diameter be the double of radius, diameter be 12 cm then the area of the circle be 36π cm².
What is meant by circle?A circle is round with no sides or corners. Circles can be big and small. Circles can be any color. Being round with no sides or corners is the defining attribute of a circle.
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.
A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.
Let r be the radius of a circle, then its circumference of the circle be [tex]$2 \pi r$[/tex] and area of the circle be [tex]$\pi r^2$[/tex].
Circumference exists given to be [tex]$12 \pi$[/tex], we get
[tex]$$2 \pi r=12 \pi$$[/tex]
simplifying the above equation, we get
[tex]$r=\frac{12 \pi}{2 \pi}[/tex] = 6 cm
The radius of the circle be 6 cm and diameter be the double of radius, diameter exists 2 × 6 = 12 cm.
Area of the circle be [tex]$\pi \times 6^2=36 \pi \mathrm{cm}^2$[/tex].
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12. In a flock of 20 sheep, 17 had black wool and the remainder had white woo a. what percentage of the sheep had black wool?
Answer:
85%
Step-by-step explanation:
17 divided by 20, times 100 = 85%
So, 85% of the sheep had black wool.
the top speed of a certain sports car is 195 miles per hour. a new unit of distance has been invented called the zitz. suppose that 1 mile equals 759 zitz. what is the top speed of the car in zitz per second?
this is hard
Step-by-step explanation:
I think its 3.89 p/s
Carlos deposito $8000 a una tasa de interés del 2% mensual. ¿cuánto ganara en 3 años? resolucion por favorm
En 3 años Carlos ganará $12,724 de intereses.
If Carlos deposits $8000 at a monthly interest rate of 2%, he will earn 1440 in interest over the course of three years. This amount is calculated by first multiplying the amount of the deposit (8000) by the interest rate (2%) to determine the amount of interest earned each month (160).
La formula para calcular el interes compuesto es:
I = P(1+r/n)^(nt)
Donde:
I = Interes
P = Cantidad inicial
r = Tasa de interes
n = Numero de periodos por año
t = Numero de periodos
En este caso:
I = 8000 (1+ 0.02/12)^(12 x 3)
I = 8000 (1.0016667)^36
I = 8000 (1.5905350)
I = 12,724
En 3 años Carlos ganará $12,724 de intereses.
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For customers purchasing a full set of tires at a particular tire store, consider events:
A ={tires purchased were made in the United States}
B ={purchaser has tires balanced immediately}
C ={purchaser requests front-end alignment}.
Assume the following probabilities
P(A) = .75 P(B|A) =.9 P(B|A) = .8
P(C|A∩B) = .8 P(C|A∩B) = .6 P(C|A∩B) = .7 P(C|A∩B) = .3
Find the probabilities P(A∩B∩C), P(B∩C), P(C), P(A|B∩C)
The probability of the tires purchased being made in the United States, given that the purchaser has tires balanced immediately and requesting front-end alignment is P(A|B∩C) = 0.676.
P(A∩B∩C) = P(A) * P(B|A) * P(C|A∩B) = 0.75 * 0.9 * 0.8 = 0.504
P(B∩C) = P(B|A) * P(C|A∩B) + P(B|A') * P(C|A'∩B) = 0.9 * 0.8 + 0.8 * 0.6 = 0.744
P(C) = P(C|A) * P(A) + P(C|A') * P(A') = 0.8 * 0.75 + 0.7 * 0.25 = 0.725
P(A|B∩C) = P(A∩B∩C) / P(B∩C) = 0.504 / 0.744 = 0.676
The probability of customers purchasing a full set of tires at a particular tire store, and the events of the tires purchased being made in the United States, the purchaser having tires balanced immediately, and the purchaser requesting front-end alignment, is P(A∩B∩C) = 0.504. The probability of the purchaser having tires balanced immediately and requesting front-end alignment is P(B∩C) = 0.744. The probability of the purchaser requesting front-end alignment is P(C) = 0.725. The probability of the tires purchased being made in the United States, given that the purchaser has tires balanced immediately and requesting front-end alignment is P(A|B∩C) = 0.676.
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Mateo realize that he forgot to record check 354 for $25.79, but he does not know the amount of check 353. Which equation can be used to find the amount, in dollars, X, of check 353?
A. 1,225.70 + x = 1,460.89
B. 1,225.70 + 25.79 + x = 1,460.89
C. 1,460.89 + x = 1,536.71
D. 1,460.89 + 25.79 + x = 1,536.71
Answer:
A
Step-by-step explanation:
Mateo has a balance of 1,460.89 dollars, and he knows that check 354 was for 25.79 dollars. Therefore, to find the amount, in dollars, X, of check 353, Mateo needs to subtract the known amount of check 354 from his current balance.
So, the equation that can be used to find the amount of check 353 is:
1,460.89 - 25.79 = X
Thus the correct answer is:
A. 1,225.70 + x = 1,460.89
All students in Ridgewood Junior High School either got their lunch in the school cafeteria or brought it from home on Tuesday. 4% of students brought their lunch. 34 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Answer: There are 850 students total
Step-by-step explanation: First step is to analyze, 34 brought lunch which makes up 4% so to find total we will divide because dividing percentages gives you bigger numbers.
We will do 34/4%= 850
Therefore there are 850 students attending Ridgewood Junior High School
foall the sides of a square is changing at the rate of negative 3 per second. when the side is 10. determine the rate of change of the area.
The rate of change of the area of square with side 10 and rate of change of side is -3 per second is -60.
We have, For all sides of a square is
Rate of changing per second = - 3
Let "x" be side of square. So, x = 10. We have to determine the rate of change of the area. So, Rate of change in side ,x per unit time = dx/dt = -3 . As we know, the area of a polygon is equals to total space occupied by shape or polygon.
So, Area of square, A = side × side . In this case, Area of square , A = x² --(1)
Differentiating equation (1) with respect to time "t",
=> dA/dt = d/dt ( x²)
=> dA/dt = 2x dx/dt ( using derivative formula )
here,dx/dt --> rate of changing of side of square
Substitute the value of dx/dt = -3 in above derivative, dA/dt = 2x dx/dt
=> dA/dt = 2x (-3)
=> dA/dt = 2×(10)(-3) ( since side, x = 10)
=> dA/dt = -60
Hence, required rate of change of area is -60.
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(3) The table shows some values of the linear
function f(n). Find the linear equation of f(n)
n f(n)
6-1
4 2
2 5
The linear equation of f(n) would be -3/2 n + 4.
What is linear function f(n) ?
A linear function is one with the equation f(x) = ax + b, where a and b are real values. The gradient of the line is represented by a, while the y-axis intercept is represented by b. (which is sometimes called the vertical intercept).
A linear equation can be represented as f(n) = mn + b, where m is the slope and b is the y-intercept.
To find m and b, we can use two points from the table.
Let's use the points (6, -1) and (4, 2).
The slope, m, can be found using the formula:
m = (f(n2) - f(n1)) / (n2 - n1)
Plugging in the values from the points, we get:
m = (2 - (-1)) / (4 - 6)
m = 3 / (-2)
m = -3/2
Now that we have m, we can use one of the points and the slope to find b. Let's use the point (6, -1).
f(n) = mn + b
-1 = (-3/2)(6) + b
Solving for b, we get:
b = -1 + (3)(3) = 4
So the linear equation of f(n) is:
f(n) = -3/2 n + 4
Thus, The linear equation of f(n) would be -3/2 n + 4.
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how many non-zero values in tridiagonal matrix
The number of non-zero values in a tridiagonal matrix increases with the size of the matrix.
A tridiagonal matrix is a type of matrix that consists of three diagonals. The main diagonal is the diagonal that runs from the top left corner of the matrix to the bottom right corner. The secondary diagonal is the diagonal that runs from the top right corner of the matrix to the bottom left corner. The third diagonal is the diagonal that runs from the top left corner of the matrix to the bottom right corner, one row above the main diagonal. The number of non-zero values in a tridiagonal matrix of size n x n can be calculated using the formula: Nnz = 2n + (n-2). For example, for a tridiagonal matrix of size 4 x 4, the number of non-zero values would be 2 x 4 + (4-2) = 10. In general, the number of non-zero values in a tridiagonal matrix increases with the size of the matrix.
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a new security system needs to be evaluated in the airport. the probability of a person being a security hazard is 0.023. at the checkpoint, the security system denied a person without security problems 1.5% of the time. also the security system passed a person with security problems 1% of the time. what is the probability that a person who passed through the system is without any security problems? report answer to 4 decimal places.
The probability that a person who passes through the security system is without any security hazards is 0.99.
Let A be the event that the person passed through the checkpoint
Let X be the event of a person being a hazard
Now, according to the problem,
P(X) = 0.023
P(not A/not X) = 0.015
P(A/X) = 0.01
We need to find P(A/not X)
Now we know that the conditional probability P(Q/R)
= P(Q ∩ R) / P(R)
We need to find P(A/not X) we need to know P(A ∩ not X) and P(not X)
We know that
P(Q/notR) = 1 - P(Q/R)
Hence P(A/ not X) = 1 - p(A/X)
= 1 - 0.01
= 0.99
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