Answers
Answer:
4
Step-by-step explanation:
P={1,2,3,4,5,6}
Q={3,4,5,6,7,8,9}
PnQ={3,4,5,6}
Therefore, n(PnQ) =4
Related Questions
1. In the binomial theorem expression, what is the value of n?
a.The value of n is the same as the value of k.
b.The value of n is equal to the first term of the binomial.
c.The value of n is equal to the exponent on the binomial.
d.The value of n is not needed to use the binomial theorem.
Answers
Answer:
c. The value of n is equal to the exponent on the binomial.
Step-by-step explanation:
In the binomial theorem, the expression is of the form (a + b)^n, where a and b are constants and n is a non-negative integer, which represents the degree or the exponent of the binomial. The binomial theorem provides a formula for expanding this expression into a sum of terms involving powers of a and b, and the coefficients of these terms are given by the binomial coefficients. Therefore, the value of n is a crucial part of the binomial theorem and is equal to the exponent on the binomial.
Geometry help would be greatly appreciated.
Answers
we hat is the measure of ABC Is15
Frank is taking a trip from Miami, FL to Washington, D.C. which is about 1,057 miles.
His vehicle gets 30 miles per gallon on the highway and his gas tank holds 14 gallons.
He starts his trip with a full tank of gas.
How many times will he have to stop to fill his gas tank?
Answers
Answer:
He will have to stop 2 times.
Step-by-step explanation:
30 miles * 14 gallons = 420
1,057/420 = 2.52
A 3 3/4 feet is cut from a 10 feet plywood how much of the plywood is left
Answers
\(3\frac{3}{4}\) feet is 2.25 feet. 7.75 feet of plywood left out of 10 feet when \(3\frac{3}{4}\) feet of plywood is cut off.
\(3\frac{3}{4}\) feet is a mixed fraction, first we need to convert it into a fraction and then we need to find the point value of the number.
therefore \(3\frac{3}{4}\) feet = 3 x 3 / 4
= 3 x 0.75 = 2.25 feet
now we need to find the plywood left when \(3\frac{3}{4}\) feet is cut from 10 feet,
therefore, now that we know \(3\frac{3}{4}\) feet is 2.25 feet we can subtract it from 10 we get:
10 - 2.25 = 7.75
therefore, we know that there is 7.75 feet of plywood left out of 10 feet when \(3\frac{3}{4}\) feet of plywood is cut off.
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PLEASE HELP
Solve one sixth times quantity x plus 18 end quantity equals negative 5.
x = −48
x = −138
x = 12
x = 18
Answers
the answer is x= -48
solve for x by simplifying bith sides of the equation then isolating the variable so the answer is x= -48 your welcome!
sejarah operasi dasar dua vektor
Answers
Answer: SERCA DE DOO SA LOL E
Step-by-step explanation: I DONT SPEAK UR LANGUAGE :)
help! giving brainly if correct & work is shown
a. 31/40
b. 9/40
c. 3/4
d. 1/4
Answers
Answer:
I think it is 3/4
Step-by-step explanation:
Which is a quadratic function having a leading coefficient of 3 and a constant term of –12?
Answers
The required quadratic function having a leading coefficient of 3 and a constant term of –12 is f(x) = 3x^2 + bx - 12.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
A quadratic function can be written in the general form:
f(x) = ax² + bx + c
where a, b, and c are constants.
Given a leading coefficient of 3 and a constant term of -12, we can write the quadratic function as,
f(x) = 3x² + bx - 12
Therefore, a quadratic function having a leading coefficient of 3 and a constant term of –12 is f(x) = 3x^2 + bx - 12.
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(a) The perimeter of a rectangular garden is 292 m.
If the length of the garden is 89 m, what is its width?
Width of the garden: ?
(b) The area of a rectangular window is 7968 cm².
If the width of the window is 83 cm, what is its length?
Length of the window: ?
Answers
Answer:
(a) Let width of garden be w m.
Perimeter = length + width + length + width
Substitute the values into the equation.
89 + w + 89 + w = 292
Simplify and solve for w.
2w + 178 = 292
2w = 114
w = 57
Hence, width of garden is 57 m.
(b) Let length of window be L cm.
Area = length × width
Substitute the values into the equation.
L × 83 = 7968
Simplify and solve for L.
83L = 7968
L = 96
Hence, length of window is 96 cm.
KM
and
NP
areparallellines.
J
K
L
M
N
O
P
Q
Which angles are corresponding angles?
Answers
the larger circle has center $o$ and passes through $d$. the smaller circle has diameter $od$. what percent of the larger circle's area is gray?
Answers
25% is the larger circle area is gray.
Area of a Circle: The area of a circle is pi times the radius squared.
To calculate the area of the circle we have the formula:
A = π r²-----(1)
where
A=area
r=radius.
First, we have to analyze the given data, the large circle center o passes through d, so
Gray circle area=π*(radius)^2----(2)
The radius of the smaller circle = OD/2 substitute in (2)
Gray circle area=π*(OD/2)^2
Gray circle area=π*OD^2/4
Larger circle area=π*(radius)2
radius of the larger circle = OD
larger circle area=π*OD^2
To know the percentage of a large circle we have a small formula:
gray circle area/large circle area--------(3)
=π*OD^2/4/π*OD^2
=π*OD^2/4*1/π*OD^2=1/4
=25/100
=25%
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What is ""statistical conclusion validity""? what was the main threat to statistical conclusion validity discussed in class?
Answers
Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.
The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.
Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.
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Let (Y, Y2) have the joint pdf f(41, 42) = { 2e-(4+92) 0 < y1 < y2 < 0 0 otherwise (a) Find the marginal density of Y1. (b) Find the conditional density of Y2 given Y1 = y1. (c) Are Y1 and Y2 independent? In the same setting as Q5 above, (a) Find E(Y2|Y1 = yı). (b) Find V(Y2|Y1 = yı).
Answers
a. The marginal density of Y1 is fY1(y1) = \(2e^{-(4+y1)\), y1 > 0.
b. The conditional density of Y2 given Y1 = y1 is f(y2|y1) = 1, y2 > y1 and y1 > 0.
c. Y1 and Y2 are not independent
(a) E(Y2|Y1=y1) does not exist.
(b) V(Y2|Y1=y1) does not exist.
(a) To find the marginal density of Y1, we integrate the joint density over all possible values of Y2:
fY1(y1) = ∫f(y1, y2) dy2 from y2=y1 to y2=∞
= \(\int\limits2e^{-(4+y1)\)dy2 from y2=y1 to y2=∞
= \(-2e^{-(4+y1)\) [from y2=y1 to y2=∞]
= \(2e^{-(4+y1)\), y1 > 0
So the marginal density of Y1 is fY1(y1) = 2e^-(4+y1), y1 > 0.
(b) To find the conditional density of Y2 given Y1 = y1, we use the formula:
f(y2|y1) = f(y1,y2) / fY1(y1) for y1 > 0 and y2 > y1
= 0 otherwise
Substituting the given joint and marginal densities, we get:
f(y2|y1) = \(2e^{-(4+y1)\) / \(2e^{-(4+y1)\)) = 1, y2 > y1 and y1 > 0
= 0 otherwise
So the conditional density of Y2 given Y1 = y1 is f(y2|y1) = 1, y2 > y1 and y1 > 0.
(c) To check if Y1 and Y2 are independent, we need to verify if f(y1,y2) = fY1(y1)fY2(y2) for all y1 and y2. We have:
fY2(y2) = ∫f(y1,y2) dy1 from y1=0 to y1=y2
= ∫ \(2e^{-(4+y1)\)) dy1 from y1=0 to y1=y2
= - \(2e^{-(4+y2)\) + \(2e^{-4\)
fY1(y1)fY2(y2) = 4e⁻⁸ exp[-(y1+y2)], y1 > 0 and y2 > 0
Clearly, f(y1,y2) is not equal to fY1(y1)fY2(y2) for all y1 and y2, so Y1 and Y2 are not independent.
(a) Using the formula for conditional expectation, we have:
E(Y2|Y1=y1) = ∫y2 f(y2|y1) dy2 from y2=y1 to y2=∞
= ∫y2 dy2 from y2=y1 to y2=∞
= ∞
So E(Y2|Y1=y1) does not exist.
(b) Using the formula for conditional variance, we have:
V(Y2|Y1=y1) = E(Y2²|Y1=y1) - [E(Y2|Y1=y1)]²
= ∫y2² f(y2|y1) dy2 - (∞)²
= ∫y2² dy2 from y2=y1 to y2=∞ - (∞)^²
= ∞
So V(Y2|Y1=y1) does not exist.
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Explain what each point on the least-squares regression line represents.
Choose the correct answer below.
A.Each point on the least-squares regression line represents the y-value of the data set at that corresponding value of x.
B.Each point on the least-squares regression line represents the y-values that would be considered ideal at that corresponding value of x.
C.Each point on the least-squares regression line represents the predicted y-value at the corresponding value of x.
D.Each point on the least-squares regression line represents one of the points in the data set.
Answers
The correct statement is "Each point on the least-squares regression line represents the predicted y-value at the corresponding value of x". Thus, Option C is correct.
A least-squares regression line is a mathematical model that is used to predict the value of a dependent variable (y) based on the value of an independent variable (x). The regression line is created by fitting a line to the data set that minimizes the differences between the actual y-values and the predicted y-values (the line).
Each point on the regression line represents the predicted y-value for a given value of x. In other words, if we know the value of x, we can use the regression line to predict the value of y that is most likely to occur based on the data set. The least-squares regression line is a useful tool for understanding the relationship between two variables and making predictions about future values.
A is incorrect because it states that each point on the least-squares regression line represents the actual y-value of the data set at that corresponding value of x, which is not necessarily the case. The regression line is a model that predicts y-values based on the relationship between x and y, but it is not necessarily equal to the actual y-values in the data set.
B is incorrect because it states that each point on the least-squares regression line represents the ideal y-values at that corresponding value of x, which is not a characteristic of a regression line. A regression line represents a predicted y-value based on the data set and the relationship between x and y, but it does not necessarily represent ideal values.
D is incorrect because it states that each point on the least-squares regression line represents one of the points in the data set, which is not necessarily the case. A regression line represents a predicted y-value based on the data set and the relationship between x and y, and it may not necessarily match the actual data points in the data set.
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Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.
How much does Celeste get paid an hour?
help me pls
Answers
Answer:
$20 per hour
Step-by-step explanation:
1500 - 500 = 1000
1000 divided by 50 = 20
To check:
20 x 50 = 1000
Consider the time it takes in minutes, for police officers to respond to a 911 call, where a life- threatening crime (an armed robbery, an assault, a shooting) is in progress. For a particular police jurisdiction, the average response time is 26 minutes with a standard deviation of 3 minutes Assuming the data is symmetric and using the Empirical rule, what % of the response times fall between 20 to 32 minutes a. 68% b. 95% c. 86% d. 99.7% e. 50% f. none of the above
Answers
The correct answer is b. 95%.
According to the Empirical rule, for a symmetric data set, 68% of the data falls within 1 standard deviation of the mean, 95% falls within 2 standard deviations of the mean, and 99.7% falls within 3 standard deviations of the mean.
In this particular case, the mean response time is 26 minutes and the standard deviation is 3 minutes. Therefore, 1 standard deviation from the mean is 23 to 29 minutes, 2 standard deviations from the mean is 20 to 32 minutes, and 3 standard deviations from the mean is 17 to 35 minutes.
Since the question asks for the percentage of response times that fall between 20 to 32 minutes, we are looking for the percentage of data that falls within 2 standard deviations of the mean. Therefore, the correct answer is 95%.
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At the bowling alley kai rented shoes and purchased 3 games of bowling for $6.50.
Jack rented shoes and purchases 5 games of bowling for $9.50 Caelan has $17 if she rents shoes how many games of bowling can she purchase
Answers
Caelan must spend a total cost of $ 17 for 10 bowling games.
How many bowling games can Caelan purchase?
The total cost consists in the sum of a fixed cost, represented by rent of shoes, and a variable cost, represented by the number of bowling games, whose model is presented below:
c' = c + r · n
Where:
c - Fixed cost, in monetary units.r - Cost of each rent, in monetary units.n - Number of rented games.First, construct the system of equations related to Kai and Jack:
Kai
c + 3 · r = 6.50
Jack
c + 5 · r = 9.50
Second, solve the system of linear equations by numerical methods:
(c, r) = (2, 1.5)
Third, write the resulting function:
c' = 2 + 1.5 · n
Fourth, evaluate the function for the situation of Caelan:
17 = 2 + 1.5 · n
1.5 · n = 15
n = 10
Caelan rents 10 bowling games for $ 17.
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HELP 30 POINTS
Given the system below, SELECT all terms that will be
eliminated by adding the equations together.
-x + y = -1
2x-y=0
-x
2x
y
-y
-1
0
Answers
Answer:-1
Step-by-step explanation:
Hope this helped!!
Find sin 0, where is the angle shown.
Give an exact value, not a decimal approximation.
Answers
Answer:
sinθ = \(\frac{24}{25}\)
Step-by-step explanation:
By applying Pythagoras theorem in the given triangle,
Hypotenuse² = (Leg 1)² + (Leg 2)²
= (24)² + 7²
Hypotenuse = √625 = 25
By applying sine rule in the given triangle,
sinθ = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
Since, measure of opposite side = 24
Measure of hypotenuse = 25
Therefore, sinθ = \(\frac{24}{25}\) will be the answer.
Kathryn and karina are neighbours and they are each planning rosebushes and butterfly plants in their yard. They bought their plants from the same store. Catherine spent $111 on four rosebushes and seven butterfly plants. Karina spent $132 on five rosebushes and eat butterfly plants. What is the cost of one rosebush and the cost of one butterfly plant?
A rosebush : $10, butterfly plant $7
B Rose bush: $9 ,butterfly plant $12
C rosebush; 12 , butterfly plant $9
D rose bush : $14, butterfly plant $7
Answers
Answer:
d a rosebush 14 butterfly plant 7
Step-by-step explanation:
don't believe me ask some body else okkkkkur
Can someone please help me out this this I don’t get it
Answers
if f(x)=2x²-6, then find f(4)
Answers
Answer:
Substitute x = 4 into the equation.
f(4) = 2(4)² - 6
= 2(16) - 6
= 32 - 6
= 26
7. An average of 1253 tornadoes occur in the U.S.
each year, and about 12.5% of them are in Texas.
About how many tornadoes does Texas have each year?
Answers
Explanation:
12.5% is .125
To find tornadoes in Texas it’d be .125 * 1253 which is 156.625.
hello whoever my tutor is i just wanted to say just tell me what to fill in the boxes thats will be enough. thank you : )
Answers
Given that, Katie has four grape candies and 3 cherry candies.
Thus, the total number of candies is 7.
Calculate the ratio of grape candies to total number of candies.
\(G\colon C=4\colon7\)Therefore, ratio is 4:7.
I need Help with this question.
Please show workings.
Question:
\({3}^{x} + {4}^{x} = {5}^{x} \)
P.S : The answer is 2.
I just need the working.
Answers
Answer:
\( x =2\)
Step-by-step explanation:
Given :-
\({3}^{x} + {4}^{x} = {5}^{x} \)And we need to find out the value of x. Well there is no specific method to solve the equation .This can be only done using the " Trial and error" Method.
We know that , 3 , 4 and 5 are Pythagorean triplets . So the sum of squares of two smallest numbers is equal to the square of the largest number . Henceforth ,\(\implies {3}^{2} + {4}^{2} = {5}^{2} \)
Verification :-
\(\implies {3}^{2} + 4^2 = 9+16=25=\boxed{5^2}\)
So , the value of x is 2 . We can here prove that , x does not have other roots other than 2 . For that , divide the both sides of equation by \(5^x\) , we have ,
\(\implies \dfrac{{3}^{x} + {4}^{x}}{5^x} = \dfrac{{5}^{x}}{5^x} \)
\(\implies \bigg( \dfrac{3}{5}\bigg)^x+ \bigg( \dfrac{4}{5}\bigg)^x = 1 \)
Now if we take the value of x greater than 2 or less than 2 , then the value 1 will not be satisfied for the values of x greater than or less than 2 .That is ,
If x > 2\(\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x > \bigg( \dfrac{3}{5}\bigg)^2 +\bigg( \dfrac{4}{5}\bigg)^2 \)
Subsequently :-
\(\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x > 1 \)
If x < 2\(\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x < \bigg( \dfrac{3}{5}\bigg)^2 +\bigg( \dfrac{4}{5}\bigg)^2 \)
Subsequently :-
\(\implies \bigg( \dfrac{3}{5}\bigg)^x+\bigg( \dfrac{4}{5}\bigg)^x <1\)
Thus there is no other value other than 2 for which the value of above expression becomes 1 .Hence 2 is the root of the given equation.
Y=-6x+2 -12-2y=-4 how many solutions does this linear equation have?
Answers
This linear equation system has a unique solution, which means it has only one solution.The given equations are:
Y = -6x + 2
-12 - 2y = -4
To find the number of solutions for this linear equation system, we can start by solving one equation for one variable and then substituting the solution into the other equation.
Let's solve the first equation, Y = -6x + 2, for Y:
Y = -6x + 2
Now let's solve the second equation, -12 - 2y = -4, for y:
-12 - 2y = -4
Adding 12 to both sides of the equation:
-2y = 8
Dividing both sides of the equation by -2:
y = -4
Now, we can substitute the value of y into the first equation:
Y = -6x + 2
Y = -6x + 2
Since Y is equal to -6x + 2 and y is equal to -4, we can set the two expressions equal to each other:
-6x + 2 = -4
Adding 4 to both sides of the equation:
-6x + 6 = 0
Subtracting 6 from both sides of the equation:
-6x = -6
Dividing both sides of the equation by -6:
x = 1
So, the solution to this linear equation system is x = 1 and y = -4.
Therefore, this linear equation system has a unique solution, which means it has only one solution.
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A truck has a mass of 5000 kg. The truck driver presses on the brakes. The unbalanced net force acting on the truck when the brakes were applied was 6000N. What is the truck’s Acceleration?
Answers
The acceleration of the truck when it has a mass of 5000 kg and the truck driver presses on the brakes is 1.2m/s².
What is acceleration?The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.
The orientation of an object's acceleration is determined by the orientation of the net force acting on that object's acceleration, which is the rate at which velocity changes over time in terms of both speed and direction. A point or object moving in a straight line is accelerated if it accelerates or decelerates.
Acceleration will be:
= Force / mass
= 6000 / 5000
= 1.2 m/s²
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9. One number is 7 more than twice another number. The sum of the numbers is 22. What is one of the numbers?
O-5
O 10
07
O 17
Answers
Step-by-step explanation:
Hey there!
According to the question,
Let the unknown number be x (smaller) another number be y (greater) respectively.
1st condition: One number is 7 more than twice of another number.
(i.e y = 2x+7)....... (i)
2nd condition: The sum is 22.
(i.e X+y= 22)……(ii)
From equation (ii).
x+ y= 22
x= 22-y
Putting the value of X in eqaution (I)
y = 2(22-y)+ 7
y = 44 - 2y +7
3y = 44+7
y = 51/3
Therefore, y= 17.
Now, Putting the value of y in eqaution (ii)
X = 22-y
x = 22-17
Therefore, x= 5.
Therefore, one number is 17. (Option D).
Hope it helps....
Can anyone help with this question?
Answers
Answer:
75 sq in UwU hope is helps
Mariya is solving the quadratic equation by completing
the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
Answers
what is the question, I'm confused?
Answer:
This is the best I can do because your question is un clear
Step-by-step explanation:
