10)30% of the seniors are in statistics. 18% are also in African-American Literature. What is the probability
that a Statistics student is also in African-American Literature? (Use the conditional probability formula to
solve this problem. Establish conditional probability relationships, use the formula and plug in values.)
The probability that a Statistics student is also in African-American Literature is 18%.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Let, The total number of students is 100.
Given, 30% of the seniors are in statistics.
Therefore, The probability of choosing a student in statistics is,
= 30/100.
= 3/10.
Similarly, The probability of choosing a student in African-American Literature is,
= 18/100.
= 9/50.
We know the probability of A given B is P(A∩B)/P(B).
Therefore, The likelihood that a student majoring in statistics will also study African-American literature is,
= [(3/10)×(9/50)]/(3/10).
= 0.054/0.3.
= 0.18 Or 18%.
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Find the Solution of the system of equations.
-4x+3y=-21
-2x-3y=3
Answer:
(3, - 3)
Step-by-step explanation: that might be it
The number 27.6 is what percent of 69?
The number 27.6 is ____% of 69.
(Round to the nearest whole number, if necessary.)
Answer:
27.6 is 40% of 69.
Step-by-step explanation:
Find hypotenuse,perpendicular and base
Answer:
Consider the angle Ф.
the line opposite to Ф is the perpendicular -> PQ = 5cm
The base is the line with whom the perpendicular has 90° angle -> PR = 12cm
Finally, hypotenuse is the line opposite to the 90° which is QR= 13cm
Answer:
hypotenuse = QR = 13 cm
Perpendicular = PQ = 5 cm
Base = PR = 12 cm
6x + 5y = 3 solve for y
Answer:
-6/5x + 3/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.y
y= − 3+ 6 x
5 5
Which boxes have a volume of 120 cubic feet: box a: a length of 5 feet, width of 4 feet, a height of 6 feet. Box B: length of 7 ft, width of 7 ft and height of 6 feet. Box c: length of 3 feet, width of 6ft, height of 4 feet. Box D: length of 10 feet, width of 3 feet, height of 4 feet. Also fatso
What is the opposite of the opposite of -12?
Answer:
-12.
Step-by-step explanation:
The opposite of -12 is 12.
The opposite of the opposite, which is 12, is -12.
In other words, the opposite of the opposite of a number gives you the starting value.
Suppose you are given a rectangular piece of cardboard having length 6x+2 inches and width 2x−4 inches. Then you cut out a square from this piece of cardboard having side length x inches. Find the area of the remaining piece of cardboard expressed in terms of x.
To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.
Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.
The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.
This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16
Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.
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I’m certain year, there were 86 female officials in congress, which comprised of the House of Representatives and the senate. If there were 58 more female me members of the House of Representatives than female senators, find the number of females in each house of congress
Answer:
58 members of the House of Representatives, and 28 members of the senate.
Step-by-step explanation:
We can find the answer to this by simply subtracting:
86 - 58 = 28
So, there are 58 members of the House of Representatives, and 28 members of the senate.
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What is the length of the circle's radius (r) if the circle's area is
approximately 400m yd²?
Answer:
11.28m
Step-by-step explanation:
Area = πr^2
Area = 400 = πr^2
r =sqrt (\(\frac{400}{\pi }\)) = 11.28
r = 11.28m
Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
The profit function is P(x) = -500.523x^2 + 600x - 200.
To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).
Given:
Cost function: C(a) = 500x^2 + 300
Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300
Profit function, P(x), is obtained by subtracting the cost function from the revenue function:
P(x) = R(x) - C(a)
P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)
Simplifying the expression:
P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300
P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300
P(x) = -500x^2 - 0.523x^2 + 600x - 200
Combining like terms:
P(x) = (-500 - 0.523)x^2 + 600x - 200
Simplifying further:
P(x) = -500.523x^2 + 600x - 200
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Evalute 5x + 4y; if x = 3 and y = 2
O 54
O 22
ОО
95
23
The answer is 23 becuase 15+8=23
A triangle has a base length of 3ac2 and a height 2 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.
We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.
(1/2) * Base * Height = Area
We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.
Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters
Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).
Using these values as a substitute in the formula, we obtain:
Area =\((1/2) * 54 * 56 = 1512\) square centimeters
centimetres square
It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.
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use the info given in the figure to find x, m
Answer:
This is a symmetrical shape so that means all of the sides are going to match. To find x you need to look at the opposite side of the shape and see that it’s needs to match the three. In order to do that X would need to equal two so that it would be two times two minus one which would give you the three that you need to match the other side.
The line models the cost of renting a kayak. Write an equation in slope-intercept form for the line, where x is the number of hours the kayak is rented and y is the total cost of renting the kayak.
In order to run a successful charity event for 6 people, it is important to ensure that everyone has something to enjoy.
What is number?Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
One way to do this is to provide cupcakes to one out of every three people. This will ensure that some people get a special treat while the others still have a chance to get one if they come to the event again. It also allows for a sense of fairness and equality, as everyone has an equal chance of receiving a cupcake. Additionally, it helps to build a sense of community and fellowship among the participants, as they can share the cupcakes and enjoy the experience together. It is also a great way to raise awareness about the charity and its cause, as people can talk about it while enjoying the cupcakes. To make sure that the event runs smoothly, it is important to have plenty of cupcakes on hand and to make sure that everyone is aware of the rules for receiving one.
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find the inverse of each function
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base
diameter of 10cm? Round to the nearest tenths place.
Answer:
549.8 cm (cubed)
Step-by-step explanation:
D3lt4 m4th 4n$wer
A countries population in 1993 was 253 million. In 1999 it was 237 million. Estimate the population in 2007 using the exponential growth formula. round your answer to the nearest million.
Note: When solving for k, round to four decimal places.
Answer:
240 million
Step-by-step explanation:
I took the application
Can someone help me please?
ASAP
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
Can anyone help with this question?
x-intercept = (2, 0)
y-intercept = (0, 7.5)
Step-by-step explanation:
The x-intercept can be found by setting y = 0. Thus,
\(15x + 4(0) = 30 \Rightarrow x = 2\)
Therefore, the x-intercept is (2, 0).
The y-intercept can be found by setting x = 0:
\(15(0) + 4y = 30 \Rightarrow y = 7.5\)
Therefore, the y-intercept is at (0, 7.5)
You must follow the order of operations to find the value of a numerical expression. Why?
Answer:
its so good out here whwere you frm
express 7/14 as repeating decimal
Answer:
0.500000
Step-by-step explanation:
Answer:
It is non repeating
Step-by-step explanation:
Franco, Ivanna, and Esther bought school supplies.
Each person spent between $8 and $13.
Franco bought 6 items.
Ivanna bought 3 items.
Esther bought 4 items.
The prices of the items are given below. Drag items to each box to show what each person could have bought.
So I think I had this for Imagine Math, so here is what I got :D;
Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34
Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19
Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17
I really hope this helps :DDDDDDDD
Use the Radius slider and click and drag the labeled center point to graph the circle (x+3)² + (y + 4)² = 25. Find the x and y intercepts.
Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed.
Click here to launch the interactive figure.
The intercepts are
(Type ordered pairs. Type each answer only once. Use a comma to separate answers as needed.)
Answer:
center (-3, -4); radius 5. See attached for intercepts.
Step-by-step explanation:
The clicking and dragging is not possible. However, we can plot the equation and tell you the center and radius of the circle, and its intercepts with the axes.
Center and radiusThe standard form equation of a circle is ...
(x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r
Comparing this to the given equation ...
(x +3)² +(y +4)² = 25
we see that (h, k) = (-3, -4) and r = 5.
The center point is (-3, -4), and the radius is 5.
InterceptsThe graphing application tells you the intercepts.
The x-intercepts are where the curve crosses the x-axis. They are ...
(-6, 0), (0, 0) . . . . . x-intercepts
The y-intercepts are where the curve crosses the y-axis. They are ...
(0, 0), (0, -8) . . . . . y-intercepts
solve it and show full calculus.
thank you!
Answer:
Hi
Please mark brainliest ❣️
Thanks
Step-by-step explanation:
The answer is NO
Reason
x= 2 y= 1
Now input in the first inequality
y≤ -x + 4
1 ≤ -2 +4
1≤ 2 i.e 1 is less than two
Next inequality
y≤ x +1
1 ≤ 2 + 1
1≤ 3 i.e 1 is less than 3
But 1 is not equal to 3 and also not equal to 2
Hence our answer is NO
HELP!!!PLS :)
Which point is located at (-5,4
point C
point D
point A
point B
Answer:
A
Step-by-step explanation:
-5 (go left 5 times first) 4 (go up 4 times)
Answer:
Hey there!
The correct option is A
How ?
-5 represents x' ,which tells us that the respected option is in Left side4 represents y, which tells us that the respective option is upward sideand Option A is at left and upward sidehope it helped you:)
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Answer:
y=1/3x-2
Step-by-step explanation:
translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
100 POINTS!! Identify the sample space of the probability experiment: answering a multiple choice question with A, B, C, and D as the possible answers.
Answer:
(A, B, C, D)
What is the sample space of the probability?
Sample space is the set of all possible outcomes of a random experiment.
Here given possible outcomes are A, B, C, D
Hence, Sample space of probability = (A, B, C, D), total 4 different choices
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Answer :
The set of all possible out in a random experiment is refer to as sample space.
The reading above is an example of discrete(finite) sample space.
Following the Discrete Probability Law if a sample space consist of a finite number ex:{1 ,2 ,3} . The probability is the sum of the probabilities of the elements.
Therefore answering a multiple choice questions with A,B,C and D are four choices with possible answer of A,B,C and D.
(True or False) the correlation coefficient is based on each observation's values' deviations from the mean for both variables.
The correlation coefficient mostly based on all the observation's values' with the deviations from about the mean for both variables. So, it's true.
A correlation coefficient is a statistical degree of the diploma to which modifications to the cost of 1 variable are expecting extrade to the cost of another. In definitely correlated variables, the cost will increase or decreases in tandem. A correlation coefficient is a variety of among -1 and 1 that tells you the electricity and path of a courting among variables.
In different words, it displays how comparable the measurements of or greater variables are throughout a dataset. Both quantify the path and electricity of the connection among numeric variables. When the correlation (r) is negative, the regression slope (b) might be negative. When the correlation is positive, the regression slope might be positive.
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