Solve for B. R = x(A + B)
Answers
Answer:
B = R/x -A
Step-by-step explanation:
\(\text{Divide the equation by x:}\\\\\dfrac{R}{x}=A+B\\\\\text{Subtract A:}\\\\\dfrac{R}{x}-A = B\\\\\text{The solution is ...}\\\\\boxed{B=\dfrac{R}{x}-A}\)
Answer:
\( b = \frac{r - ax}{x} \\ \)
Step-by-step explanation:
\(r = x(a + b) \\ r = ax + bx \\ r - ax = bx \\ \frac{r - ax}{x} = b\)
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Related Questions
Two lines are represented by the equations - 1/2y = 6x +10 and y=mx. For which value of m will the lines be parallel?A: -12B: -3C: 3 D: 12
Answers
The equation of the line is expressed as
- y/2 = 6x + 10
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
From the given equation,we would multiply both sides by 2. it becomes
-2y/2 = 6x * 2 + 10 * 2
- y = 12x + 20
Multiplying both sides by - 1, it becomes
- y * - 1 = 12x * - 1 + 20 * - 1
y = - 12x - 20
Comparing with the slope intercept form,
slope = - 12
If two lines are parallel, it means that they have equal slope. Therefore, the value of m for which the lines will be parallel is
A: -12
Question 14 (1 point)
Chris sells computer equipment for his company. He receives a base pay of $300
plus commission on his sales. He receives 10% for the first $5000 in sales and 15%
anything over $5000.
Last week, he sold $17000 in computer equipment. Find his gross pay.
Round to the nearest whole dollar.
For your answer, do NOT include symbols, commas, words, etc.
HELP PLS
Answers
Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.
How is the gross pay determined?The gross pay is the addition of the base pay and the sales commission.
The sales commission is graduated and computed as follows:
Chris' base pay = $300
Sales Commissions:
First $5,000 = 10%
Above $5,000 = 15%
Last week's sales = $17,000
10% Commission = $500 ($5,000 x 10%)
15% Commission = $1,800 ($17,000 - $5,000 x 15%)
Total Commission = $2,300
Gross pay = Base Pay + Commission
= $2,600 ($300 + $2,300)
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THINK SMARTER
Julie wants to make a drawing that is the size of
the original drawing. Sahil makes a drawing that is the size of the
original. A tree in the original drawing is 12 inches tall. What will be the
difference between the height of the tree in Julie's and Sahil's drawings?
Please help
Answers
Answer:
1 in
Step-by-step explanation:
We are given that
Height of tree in original drawing=12 in
Julie's drawing tree height=1/4 of original size
Sahil's drawing tree height=1/3 of original size
We have to find the difference between the height of the tree in Julie's and Sahil's drawings.
Height of tree in Julie's drawing=\(\frac{1}{4}\times 12\)in
Height of tree in Julie's drawing=3 in
Height of tree in Sahil's drawing=\(\frac{1}{3}\times 12\)in
Height of tree in Sahil's drawing=4 in
Difference between the height of the tree in Julie's and Sahil's drawings=4 in-3in
Difference between the height of the tree in Julie's and Sahil's drawings=1 in
D) If one gallon of paint covers 0.6 square meters, how many gallons of black paint they
need to paint the house?
Show your work
The width of the house is 3.5m and the height is 2.5m
Answers
Answer:
14.5833333333
Step-by-step explanation:
3.5x2.5=8.75, divided by 0.6 is 14.5833333333
The probability distribution of random variable, X, is defined as follows:
X 0 1 2 3 4
Probability 0 0.3 0.1 0.3 0.3
A) Explain if the above is a valid probability model.
B) Is the described random variable discrete or continuous?
C) What is the expected value (mean) of the probability distribution?
D) Calculate P(X = 3).
E) Calculate P(X < 4).
F) Calculate P(X > 0).
G) Calculate P(X = 5).
H) Calculate P(X = 0).
I) What is the total area under any density curve?
Answers
Answer and Step-by-step explanation:
A) For the model to be a probability distribution, it has to follow two conditions:
1) The probability of each value of the discrete random variable is between, and included, 0 and 1:
2) The sum of all probabilities is 1;
In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;
Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1
Therefore, this model is a valid probability distribution model.
B) They are discrete because each value correspond to a finite number of possible values.
C) Expected value is calculated by
\(E(X) = \Sigma xP(x)\)
\(E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3\)
E(X) = 2.6
D) P(X=3) = P(3), which means probability of 3:
P(X=3) = 0.3
E) P(X<4): probabilities of values of X that are less than 4:
P(X<4) = P(0) + P(1) + P(2) + P(3)
P(X<4) = 0 + 0.3 + 0.1 + 0.3
P(X<4) = 0.7
F) P(X>0) = P(1) + P(2) + P(3) + P(4)
P(X>0) = 0.3 + 0.1 + 0.3 + 0.3
P(X>0) = 1
G) P(X=5) = P(5)
There is no probability of P(5) because the model doesn't "cover" that number.
H) P(X=0) = P(0)
P(X=0) = 0
I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.
The answers are given as- A) Model is a valid probability distribution model.
B ) The described random variable is discrete.
C ) Mean E(X) = 2.6
D) P(X=3) = 0.3
E ) P(X < 4) = 2.6
F ) P(X > 0) = 1
G ) There is no probability of P(5)
H ) P(X = 0) = 0
I ) The total area of any density curve is 1
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
A) For the model to be a probability distribution, it has to follow two conditions:
In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;
Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1
Therefore, this model is a valid probability distribution model.
B) They are discrete because each value correspond to a finite number of possible values.
C) Expected value is calculated by
E(x) = ∑ P(x)
E ( x) = 0 + ( 1 x 0.3 ) + ( 2 x 0.1 ) + 3 ( 0.3 ) + 4 ( 0.3 )
E(X) = 2.6
D) P(X=3) = P(3), which means a probability of 3:
P(X=3) = 0.3
E) P(X<4): probabilities of values of X that are less than 4:
P(X<4) = P(0) + P(1) + P(2) + P(3)
P(X<4) = 0 + 0.3 + 0.1 + 0.3
P(X<4) = 0.7
F) P(X>0) = P(1) + P(2) + P(3) + P(4)
P(X>0) = 0.3 + 0.1 + 0.3 + 0.3
P(X>0) = 1
G) P(X=5) = P(5)
There is no probability of P(5) because the model doesn't "cover" that number.
H) P(X=0) = P(0)
P(X=0) = 0
I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.
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Maria determined that these expressions are equivalent expressions using the values of x = 3 and x= 7 Which
statements are true? Check all that apply.
5+3x-2 and x + 2(x+1)+1
The expressions are only equivalent when evaluated with odd values
The expressions are only equivalent for x = 3 and x = 7
The expressions should have been evaluated with one odd value and one even value.
The expressions have equivalent values when X = 6.
When X=0, the first expression has a value of 3 and the second expression has a value of 4.
The expressions have equivalent values for any value of x.
When x= 10, both expressions have a value of 33
Answers
Answer:
x = 3
Step-by-step explanation:
5+(3*3)-2 = 3+2(3+1)+1
12 = 12
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
Answers
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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HELP ME PLEASE BO
O
O
OOOOOOO
Answers
The domain of the function obtained from the graph of the function indicates that the correct option is the second option
{x | x ≤ 0}
The domain of a function is the set of the possible x-values of the function.
The graph of the function indicates that the as the x-value approaches x = 0, the function approaches ∞
Similarly, as the x-value of the function approaches -∞, the function approaches f(x) = 0, therefore;
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What value of c makes the equation true? 34 = 6 + 4c
Answers
Answer:
7
Step-by-step explanation:
34-6=28
28/4=7
c=7
Answer:
The answer would be 'c=7'.
Step-by-step explanation:
I hope this was helpful, have a blessed day.
what is liver cancer signs
Answers
Answer:
Weight loss (without trying)
Loss of appetite.
Feeling very full after a small meal.
Nausea or vomiting.
An enlarged liver, felt as fullness under the ribs on the right side.
An enlarged spleen, felt as fullness under the ribs on the left side.
Step-by-step explanation:
Answer:
Weight loss (without trying)
Loss of appetite.
Feeling very full after a small meal.
Nausea or vomiting.
An enlarged liver, felt as fullness under the ribs on the right side.
Step-by-step explanation:
A cone has a volume of 37. Use this to match each question with its answer below.
If the cone's radius is 1, what is its height?
If the cone's radius is 2, what is its height?
If the cone's radius is 5, what is its height?
If the cone's radius is 1/2, what is its height?
d. 36 units
c. 9 units
b. 25 units
d. 9 units
Answers
The heights for the given radius and volume are 35.35 units, 8.83 units, 1.41 units and 141.40 units
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given that, a cone a volume of 37 units³, we need to find the heights for given radii,
We know that, the volume of a cone = π×radius²×height/3
Therefore,
1) If the cone's radius is 1, then its height =
37 = π×1×h/3
h = 37×3/3.14
h = 35.35 units
2) If the cone's radius is 2, then its height =
37 = π×4×h/3
h = 37×3/3.14×4
h = 8.83 units
3) If the cone's radius is 5, then its height =
37 = π×25×h/3
h = 37×3/3.14×25
h = 1.41 units
4) If the cone's radius is 1/2, then its height =
37 = π×1×h/3×4
h = 141.40 units
Hence, the heights for the given radius and volume are 35.35 units, 8.83 units, 1.41 units and 141.40 units
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PLS HELP -
transponder for a toll bridge costs $22.50. With the transponder, the toll is $4 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $5.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
You need to cross the bride _ times?
Answers
Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.
What is meant by linear function ?To find out how many times you would need to cross the bridge for the costs of the two toll options to be the same, we need to set up an equation.Let x be the number of times you need to cross the bridge.For the transponder option: 22.50 + 4x = costFor the toll-by-plate option: 5.25x + 1.25x = costSince the costs of the two options need to be equal, we can set the two equations equal to each other and solve for x:22.50 + 4x = 5.25x + 1.25x + 22.504x = 5.25x + 1.25x0.75x = 22.50x = 30So you would need to cross the bridge 30 times for the costs of the two toll options to be the same.To learn more about linear function refer:
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What is the area of the shape ?
Answers
Answer:
The Picture is of a trapezium
Area of Trapezium= 1/2h(L1+L2)
=1/2×7(11+3)
=49
Hence the area of the shape is 49
A number that has an opposite between six and 10. What is the answer?
Answers
-8 is the number that has an opposite of the number between 6 and 10.
What is opposite of the number?A number that is the same distance from 0 as another number but in the opposite direction is said to be the opposite of that number. It's also possible to think of the inverse of a number as the number that must be added in order for the outcome to be 0.
What is number line ?A straight line with numbers arranged at equal segments or intervals throughout its length is known as a number line. A number line is often shown horizontally and can be extended indefinitely in any direction.
Number between 6 and 10
=8
So the number opposite of 8 is -8.
Hence, -8 is the required solution.
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Jonas has 3 more than two times the number of video games that Amber has. Amber has 12 games. How many does Jonas have? To solve this problem using algebra, which of the following is one step that you will take?
Answers
Answer:
36
Step-by-step explanation:
So Jonas has ? number of games.
Multiply 12 by 3.
You get thirty-six.
So Jonas has thirty-six games.
One step you take is multiplying 12 by 3.
I hope this helps! :)
If h(x)=4x^3 -6x^2 +7x-7, what is h(-5)
Answers
Answer:
-92
Step-by-step explanation:
4(-5)^2 - 6(-5)^2 + 7(-5)-7
4(25) --6(25) - 35 - 7
100-150 - 35 -7
= -92
For the picture below, find the measure of the remaining angles. The measure of angle1=72^
Answers
2 is 108
3 is 72
4 is 108
5 is 108
6 is 72
7 is 108
8 is 72
An economy is operating with output $400 billion above its natural level, and fiscal policymakers want to close this expansionary gap. The central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. The marginal propensity to consume is 3/4, and the price level is completely fixed in the short run.
to close the expansionary gap, the government would need to increase or decrease spending by $ billion.
Answers
Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.
To close the expansionary gap, the government would need to decrease spending by $100 billion.
The formula to calculate the change in equilibrium output due to a change in government spending is:
∆Y = (∆G / (1 - MPC))
Where:
∆Y = change in equilibrium output
∆G = change in government spending
MPC = marginal propensity to consume
Here, the output is $400 billion above its natural level, and the central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. Therefore, we can assume that the change in government spending (∆G) would have a one-to-one effect on the equilibrium output (∆Y).
Given that MPC = 3/4, we can plug in the values into the formula:
400 = (∆G / (1 - 3/4))
∆G = (1 - 3/4) * 400
∆G = (1/4) * 400
∆G = 100
Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.
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A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,21,33,34,35,33,35,37,36,38,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 32 and that the standard deviation is 1.15. Evaluate the hypothesis that this new steroid hormone decreases blood glucose levels. Use an alpha-level of 0.05 for this analysis.
Calculate the obtained statistic:
Answers
Answer:
Step-by-step explanation:
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answers
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
Can someone find the slope of a line parallel to 5x+2y=6
Answers
Answer:
-5/2
Step-by-step explanation:
5x+2y=6
First, put the equation in slope-intercept form
y = mx+b where m is the slope and b is the y intercept
Subtract 5x from each side
5x-5x+2y=-5x+6
2y = -5x+6
Divide each side by 2
2y/2 = -5/2x +6/2
y = -5/2 x +3
The slope is -5/2x
Lines that are parallel have the same slope
makayla is taking a math course and is working with the perimeter of rectangles. she knows the perimeter and length of her rectangle but wants to solve for the width. rearrange the following equation for w, where p is the perimeter, l is the length, and w is the width of the rectangle.
Answers
The equation for w(width of rectangle) is: W = (P - 2L)/2
The correct answer is an option (c)
We know that the formula for the perimeter of the rectangle is:
P = 2L + 2W
where P is the perimeter of the rectangle,
L is the length of the rectangle,
and W is the width of the rectangle.
We need to rearrange this equation for w.
Consider equation,
P = 2L + 2W
P - 2L = 2L + 2W - 2L ......(subtract 2L from each side of equation)
P - 2L = 2W
(P - 2L)/2 = 2W/2 .....(divide each side by 2)
W = (P - 2L)/2
Therefore, the correct answer is W equals the quantity P minus 2 times L all over 2
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The complete question is:
Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle. P = 2L + 2W.
a) W = 2P − 2L
b) W = P/ 2-2 times L
c) W equals the quantity P minus 2 times L all over 2
d) W = 2P + 2L
Answer:
c) W equals the quantity P minus 2 times L all over 2
Step-by-step explanation:i just took the test
1)
Find the value of x in
the triangle below:
17
A) 20.2
B) 18.7
C) 19.5
D) 21.1
E) 22.6
K
84⁰
65°
Mrs. Wilson
Mrs. Crane
Mr. Haynes
Ms. Lindstrom
Mr. Swasey
O Gina Wilson (All Things Algebra), 2014
Answers
The correct option is A) 20.2.
What is triangle sum?
The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.
Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:
Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:
K = 180 - A - B
= 180 - 84 - 65
= 31 degrees
Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:
sin(A)/x = sin(K)/17
Substitute the values we know into the equation and solve for x:
sin(84)/x = sin(31)/17
x = sin(84)*17/sin(31)
Using a calculator, we get:
x ≈ 20.2
Therefore, the value of x in the triangle is approximately 20.2.
So, the correct option is A) 20.2.
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Listed below is a table showing the number of employees. 20 years or older by gender in the United states
Answers
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Everything you know about
Perimeter
Area
Volume
Capacity
Surface Area
Circle (Circumference and Area)
Transformations (Reflection, Translation, Rotation)
Answers
Answer:
Let me see...
Perimeter - the measure of the total boundary of a given figure
Area - The measurement that measures the surface of a given figure in square units
Volume - A measurement that measures the space a three-dimensional object occupies.
Capacity - It describes how much a container can hold
Surface Area - A measurement that measures the total surface of a three-dimensional object.
Circle: A closed figure that has infinite points which has a round, perfect shape with its radius a constant of 3.14
Circumference = The perimeter of a circle is called circumference
Area= 3.14(\(r^{2}\))
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answers
The graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.
What is the graphical solution to a systems of equationsThe graphical solution to a system of equations is a method of finding the point of intersection between the graphs of the equations. We plot each equation as a line on the same coordinate plane, and then find the point where the lines intersect.
If we have two equations in two variables, the solution to the system is the point where the two lines intersect. Also if there are three equations in three variables, the solution is the point where the three planes intersect.
In conclusion, the graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.
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Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
Answers
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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Sara draws the 8 of hearts from a standard deck of 52 cards. Without replacing the first card, she thenproceeds to draw a second card.a. Determine the probability that the second card is another 8.P(8 | 8 of hearts) =b. Determine the probability that the second card is another heart.P(heart 8 of hearts)c. Determine the probability that the second card is a club.P(club 8 of hearts) =d. Determine the probability that the second card is a 5.P(5 | 8 of hearts) -Write your answers as reduced fractions.
Answers
1) Since there are four cards 8 (hearts-clubs- diamonds and spades) in a deck of cards we proceed.
a) Note that, this is Conditional Probability, so let's do it:
\(P(8|8)=\frac{3}{51}=\frac{1}{17}\)Note that this is because we needed to find the probability of taking and eight given that an 8 has been drawn. So there were only three 8-cards out of 51
b) Now, let's work with the chance of the second card being another heart given that the 8 of hearts has been already drawn:
\(P\mleft(heart\: |8\: of\: hearts\mright)=\frac{12}{51}=\frac{4}{17}\)Note that there are 13 hearts, but once has already gone, so we can tell
c) Similarly to the previous one, let's find the probability that the second card is club given that the first one was an 8 of hearts.
\(P\mleft(club|8\: of\: hearts\mright)=\frac{13}{51}\)Note that there were 13 club of hearts left and 51 as a total number.
d) Now, let's do it for the probability of this second card being a 5 given that an 8 of cards has gone:
\(P(5\: |8\: of\: hearts)=\frac{4}{51}\)can you help me18f=-216
Answers
Pls help with this area question
Answers
Answer:
1
Step-by-step explanation:
The lateral area of a cylinder is ...
LA = 2πrh
The total area is that added to the areas of the two circular bases:
A = 2πr² +2πrh
We want the ratio of these to be 1/2:
LA/A = (2πrh)/(2πr² +2πrh) = h/(r+h) = 1/2 . . . . cancel factors of 2πr
Multiplying by 2(r+h) gives ...
2h = r+h
h = r . . . . . subtract h
So, the desired ratio is ...
h/r = h/h = 1
The ratio between height and radius is 1.