Using conditional probability, it is found that 25% of seniors who took a precalculus course also took a statistics course.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: Senior student took a precalculus course.Event B: Senior student took a statistics course.The probabilities given are [tex]P(A) = 0.6, P(A \cap B) = 0.15[/tex].
The desired probability is P(B|A), hence:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.6} = 0.25[/tex]
0.25 = 25% of seniors who took a precalculus course also took a statistics course.
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What is the range of the given function?
{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)}
{x | x = -5, -4, -2, 0, 2}
{y l y = -9, -3, 0, 5, 7}
O (x | x = -9, -5, -4, -3, -2, 0, 2, 5, 7}
O tyl y = -9, -5, -4, -3, -2, 0, 2, 5, 7}
Answer:
{-9, -3, 0, 5, 7}
Step-by-step explanation:
Well, you already have the relation of the function. The domain of a function are its x coordinates and the range are all the y coordinates:
0, -3, -9, 5, 7
We write them in ascending order:
-9, -3, 0, 5, 7
And this way we get the range
It is important to check if the coordinates you are given can form a function. In this case they do, but in other cases they might not.
If you have coordinates where for example there are two equal values of x but the y is different in both, for example (1, 2) and (1, 5), this cannot be a function because y can be on two possible destinations for the same value of x.
find the value of x by factoring x^2-9x-36=0
Question 3:
Solve for e.
m=-2e+c/3
Answer:
5
Step-by-step explanation:
PLEASE HELP ME TO FIND THE VALUE OF X AND Y
Answer:
x=85/5
x= 17
y=95/5
y=19
Step-by-step explanation:
vertically opp angles are equal
Answer:
vertical angles here make an X
1. 5y and 95 are vertical
2. 5x and 85 are vertical
3. x = 17
4. y = 19
.
Step-by-step explanation:
angles MPL and NPO are equal
5x = 85
x = 17
angles MPN and LPO are equal
5y = 95
y = 19
The volume of a sphere is 29307 cubic centimeters. What is the radius of the sphere?
Round to the nearest whole number.
Answer:
19 cubic centimeters
Step-by-step explanation:
The equation for the volume of a sphere is [tex](4/3)\pi r^3[/tex].
We can setup the equation as [tex]29307 = \frac{4}{3}\pi r^3[/tex].
Now we need to isolate the r^3. Divide both sides by 4/3 and pi, which leaves [tex]\frac{29307}{(4/3) \pi } =r^3[/tex]
Now we take the cube root of both sides to have a single r on the right side. This comes out to equal 19 cm^3
Solve the math problem
Answer:
a no association b non liner c liner d liner
Answer:
A) No association
B) Nonlinear
C) Linear
D) Nonlinear
Step-by-step explanation:
Linear Relationship: A linear relationship is one in which the scatter plot resembles a straight line. When one variable increases, the other variable increases or decreases proportionally.
Nonlinear Relationship: A nonlinear relationship is one in which the scatter plot does not resemble a straight line. It could resemble a curve or it could not resemble anything at all. A proportional increase or decrease in one variable does not result in a proportional rise or decrease in the other variable.
No Association: a graph of data showing discrete (individual) points of data that are not connected.
Using these definitions we can conclude whether the graphs are linear, nonlinear, or no association.
If the mean absolute deviation is a really
large number, then what does that mean about
the data set?
Answer:
The data is more spread out so their is a greater variability in the data.
Step-by-step explanation:
The Mean absolute deviation is large, then the data is more spread out and there is greater variability in the data.
What is mean absolute deviation?Mean absolute deviation is "collected data set is the average of absolute deviations from the center point of the data set".
According to the question,
Formula for Mean absolute deviation = summation of ( absolute value of xₙ - x⁻ divided by number of data values), where ' xₙ' is the input data values and 'x⁻ ' is mean of the given data values .
When the mean absolute deviation is large number then the data spread out more and the variability is greater in data.
Hence, the Mean absolute deviation is large then there is greater variability in the data.
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Find the surface area of the rectangular prism.
8 mi
2 mi
6 mi
Answer:
mi?
Submit Answer
attempt out of a
Answer:
152
Step-by-step explanation:
2*( (8*2) + (8*^) + (2*6))
help please 4(2x-1)+3=8x+1
Use the distributive property:-
4(2x-1)
8x-4
8x-4+3=8x+1
8x-8x-4+3=1
8x-8x-1=1
0-1=1
-1=1
Wait, what? -1 is equal to 1?
Hence, the equation has no solutions.
Hope it helps :)
In experimental studies, we follow a logical method to arrive at a conclusion. Arrange the given steps in the correct sequence.
Answer:
state the problem
ask relevant questions
perform an experiment to collect data
compare with the baseline value of the control group
arrive at a logical conclusion
make a hypothesis
what is the value of the expression below 2816 * 7
Answer: 19,712
Step-by-step explanation: 2816 times 7 = 19712
Answer:
19,712
With multiplication, you have to follow 4 easy steps to get your answer, as listed below.Count the number of decimal places in both the multiplicand, and the multiplier.Remember to ignore decimals, you need to right align the numbers one on top of the other as if they were integers.Multiply the numbers using long multiplication, an algorithm.Make sure to insert a decimal point into the product, your final result, so that it has the same number of decimal places equal to the total of decimal places from step 1.________________________________________________________
What have we learned?We learned the four steps to solving a multiplication problem, which can be helpful here, and in the future.
Questions?Ask me in the comments box.
PLEASE HELP. WILL GIVE BRAINLIEST !! Find the cross product <-1, -3, -8> x <7,4, -5>. Is the resulting vector perpendicular to the given vectors?
<47, -61, 71>; yes
<41, -59, 77>; no
<-59, 71, 41>; yes
<41, -61, -59>; no
Answer:
Answer:
The cross product is 47 i - 61 j + 17 k.
Step-by-step explanation:
Given that-
a = < -1, -3, -8 > , b = < 7, 4, -5 >
The cross product is
a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤
= i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )
= i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )
= i ( 47) - j (61 ) + k (17)
= 47 i -61 j + 17 k
As we know that if two vectors A & B are perpendicular then
A . B = 0
So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .
Step-by-step explanation:
47, -61, 71>; yes
Calculatep the perimeter of the figure
Answer:
76 m
Sorry if this answer is not correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
First of all, we know all of the sides already except for two, so we need to find them. (The side on the very left and top).
The side on the very top is 18 since the top and bottom are the same lengths. This also implies to the side on the very left. The sides (4+4+4) is equivalent to the side we are trying to find. We now know it is 12.
Second, to find the perimeter of almost every shape, we add all of the sides together.
18+4+8+4+8+4+18+12
This gives the answer of 76 m. (don't forget the label!)
I need help on number 16 these instructions say to solve these equations by cross multiplying
Answer:
15. x = 4
16. a = 19
Step-by-step explanation:
"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."
__
15.[tex]\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}[/tex]
This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:
x = 6(2/3) = 4
That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.
__
16.[tex]\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}[/tex]
The expression (2x - 1) (x + 3) - (x + 1) (2x - 3) simplify
[tex](2x - 1) (x + 3) - (x + 1) (2x - 3) \\\\=(2x^2+6x -x -3)-(2x^2-3x +2x -3)\\\\=(2x^2 +5x -3)-(2x^2-x -3)\\\\=2x^2+5x -3 -2x^2+x+3\\\\=6x[/tex]
Write a rational expression with denominator (x - 3)(x + 2) that is equivalent to 3x-1/x+2
Answer:
(x-3)(3x-1)/((x-3)(x+2))
Step-by-step explanation:
An equivalent fraction is formed by multiplying or dividing numerator and denominator by the same factor.
__
To get the desired denominator, the given denominator must be multiplied by (x-3). To get the desired numerator of the equivalent fraction, the numerator must also be multiplied by (x-3).
[tex]\dfrac{3x-1}{x+2}=\boxed{\dfrac{(x-3)(3x-1)}{(x-3)(x+2)}=\dfrac{3x^2-10x+3}{x^2-x-6}}[/tex]
Find the slope of the line that passes through the points (-1, 2),
(0, 5). Show work
To find the slope:
⇒ must know the slope's formula
⇒ [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
⇒ [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] are any points on the line
⇒ we use (-1,2) and (0,5) since they are the only points that we
know that are on the line
[tex](x_{1} ,y_{1} )[/tex]: (-1,2)[tex](x_{2} ,y_{2}[/tex]): (0,5)Let's solve:
[tex]Slope = \frac{5-2}{0--1} =\frac{3}{1}[/tex]
Slope is 3
Hope that helps!
In this unit, you’re working with a variety of methods for solving quadratic equations. Which method do you prefer over the others? Describe the method in your own words, and give an example of a quadratic equation that could be solved with this method. Show and explain the steps for solving the equation.
Answer:
I believe using the formula is the best method.
Step-by-step explanation:
If I am able to remember the formula this becomes the easiest method in my opinion. It is very simple and anyone can do it if the know basic algebrA.
Graph the function using the graphing calculator. find the least positive value of t at which the pendulum is in the center. t = sec to the nearest thousandth, find the position of the pendulum when t = 4.25 sec. d = in.
The least value of the function at which the pendulum is in the center is 0 and the position of the pendulum when t = 4.25 sec. is 4.24
The graph of the functionThe function is given as:
y = 6cos(πt)
See attachment for the graph of the function
The least positive value of tThe value of t is given as: -0.5
From the attached graph, the smallest value of the function when t = -0.5 is 0.
Hence, the least value of the function at which the pendulum is in the center is 0.
The position of the pendulum when t = 4.25 sec.We have:
y = 6cos(πt)
Substitute 4.25 for t
y = 6cos(4.25π)
Evaluate
y = 4.24
Hence, the position of the pendulum when t = 4.25 sec. is 4.24
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Read more about cosine function at:
https://brainly.com/question/10078563
Answer:
t = 6
next one is 5
Step-by-step explanation:
~Hope this helps! :)
HELP please! I need Help. Pre-calc. I'm not sure how to solve this. 50 Points! Please It will be appreciated.
An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?
Group of answer choices
A. 17 inches by 9 inches
B. 17 inches by 8 inches
C. 15 inches by 8 inches
D. 15 inches by 9 inches
[tex]\large{\mathcal{QUESTION:}}[/tex]
An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?
[tex]\large{\mathcal{ANSWER:}}[/tex]
B. 17 inches by 8 inches
The minimum dimensions needed for the sheet of glass are B. 17 inches by 8 inches
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
We are given that elliptical mirror has an eccentricity of 0.8.
Since the mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass,
We can conclude that the minimum dimensions needed for the sheet of glass could be;
17 inches by 8 inches
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1. Convert 8cm³ into m³
2. Convert 0.7m³ into cm³
3. Convert 4000000cm³ into m³
1. Convert 8cm³ into m³
= 8.0E-6 m³
(divide the volume value by 1e+6)
2. Convert 0.7m³ into cm³
= 700000 cm³
(multiply the volume value by 1e+6)
3. Convert 4000000cm³ into m³
= 4 m³
(divide the volume value by 1e+6)
Aluminum can have a capacity of 2.32 L. How many milliliters of soup can it hold? Helpfull tip (1 L = 1,000 mL)
Answer:
2320 mLStep-by-step explanation:
Convert the volume from L to mL according to capacity of the can.
2.32 L = 2.32 * 1000 mL = 2320 mLAnswer:
2320 milliliters
Step-by-step explanation:
1 liter = 1000 milliliters
If the can has a capacity of 2.32 liters, then to calculate how many milliliters it can hold, we need to multiply it by 1000:
⇒ 2.32 liters = 2.32 × 1000
= 2320 milliliters
**To multiply a number by 1000, simply move the decimal point 3 places to the right**
Yo I need to bring up my grade bad so
-3-9=-3y
(please show it graphed already :D)
Answer:
[tex] - 3 - 9 = - 3y \\ - 12 = - 3y \\ y = ( - 12) \div ( - 3) \\ y = 4[/tex]
Help please! I keep going down on ixl and I’ve been trying to do this ixl since yesterday so ima post a lot of these.
u can add lines to split the figure into a triangle and two rectangles.
Area of the figure
= (12x15)/2 + 6x4 + 2x5
=124 yd^2
pls help me to answer this
Answer:
225
135
450
270
6750
all the answers
find the measures of m and n
Answer:
m=3 n=6
Step-by-step explanation:
top diagonals are congruent
9 = 3m
solve for m
m = 3
bottom diagonals are congruent
m + 8 = 2n -1
plug in 3 for m
3 + 8 = 2n -1
solve for n
11 +1 = 2n
12 = 2n
n=6
solve pls brainliest
Answer:
w = 2/7
Step-by-step explanation:
You do 8 divided by 4 over 7, which is 2/7.
Solve the following inequality
Answer:
14<x<20
Step-by-step explanation:
14<x<20 is your required answer
Locate root 9.8 on number line
Answer: See attached
Step-by-step explanation:
"Root 9.8" means the square root of 9.8, [tex]\sqrt{9.8}[/tex].
Since we are being asked to find it on the number line, I am guessing they want us to estimate. We know that the square root of 9, [tex]\sqrt{9}[/tex], is equal to 3. Since 9.8 is slightly bigger than 9, the square root of 9.8 will be a little bit over 3.
Want to confirm? Using a calculator for the square root of 9.8 gives us 3.13.
pls help me to answer this
Own words*
Answer:
I hope it will help you.
Step-by-step explanation:
Dear Teacher
Your way of setting up with math makes it easier to learn.
There's few lines for you. I hope you like it
An Awesome Math
Teacher Is Hard To Find
Difficult To Part With,
And IMPOSSIBLE To Forget.
MATH may not teach us how to ADD love or SUBTRACT hate but it gives us hope that EVERY PROBLEM has a SOLUTION.