Answers
Step-by-step explanation:
I think you mean : YOU want to know the local minimum and maximum values, so that you can answer the question.
we are not doing it for "them", we are doing it for YOU. you are the only one benefiting from the exercise. nobody else. that is why you are supposed to do it.
so, now, focus.
what does that mean : local maximum and local minimum ?
what do you think ?
is the functional value displayed to the right and left of the graph ?
no. the functional value is the y-value to a given x-value and is displayed up and down on the graph.
so, we are looking for some maximum and minimum values in the up/down direction.
where will be the (local) maximum compared to the (local) minimum value ? above or below the minimum value ?
since going up makes the y-value larger, the maximum will be above the minimum, and the minimum will be below the maximum.
are we looking for the overall maximum and minimum ?
no, we are looking for local (that means just in the near neighborhood of the point) maximum and minimum values.
that means that when going left or right of the local maximum value, the curve will go down, but might later go back up again (and then maybe even higher than the maximum we found before).
and when going left or right of the local minimum value, the curve will go up, but might later go back down again (and then maybe even lower than the minimum we found before).
so, look at the graph : where is the curve going up and then suddenly turns around and goes down again ? at what point is that ?
aha, at x = -6 (and the corresponding local maximum y-value = 0). that is our local maximum.
the local maximum value is therefore 0, at the local maximum point (-6, 0).
and at what point is the curve suddenly turning from going down to going up again ?
aha, at x = -2 (and the corresponding local minimum y-value = -8). that is our local minimum.
the local minimum value is therefore -8, at the local minimum point (-2, -8).
to make the difference between local and general maximum/minimum points clearer, the graph indicates that the general maximum is +infinity, and the general minimum is -infinity.
in other words, there are no general maximum and minimum values, as infinity cannot be reached ever. only after infinity, which is not a possible number for any x- value.
Related Questions
5 apples cost 60p how much does 1 apple cost
Answers
Answer:
It will cost 12p a one apple
Somebody please help me ITS URGENT
Answers
Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.
What is the equation?Equation is a mathematical statement that expresses two expressions as equal. It consists of two expressions separated by an equal sign (=). An equation is used to solve for a unknown value by using known values and following the rules of algebra and arithmetic. Equations can be used to solve for a single unknown, multiple unknowns, and even non-numeric values.
Given that the total cost for parking and four tickets to a baseball game is $175.00.
$25 is the parking fee.
4 tickets cost $175 - $25.
Suppose that each ticket costs t.
t =($175 - $25)/4
Each ticket costs $37.5.
The equation follows.Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.
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Write an equation for the function graphed below
Answers
The rational function graphed in this problem is defined as follows:
y = -2(x - 1)/(x² - x - 2).
How to define the rational function?The vertical asymptotes of the rational function for this problem are given as follows:
x = -1 and x = 2.
Hence the denominator of the function is given as follows:
(x + 1)(x - 2) = x² - x - 2.
The intercept of the function is given as follows:
x = 1.
Hence the numerator of the function is given as follows:
a(x - 1)
In which a is the leading coefficient.
Hence:
y = a(x - 1)/(x² - x - 2).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a/2
a = -2.
Thus the function is given as follows:
y = -2(x - 1)/(x² - x - 2).
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What is the mean? Round to
one decimal place.
1,6,2,7,9
Answers
Answer:
5
Step-by-step explanation:
The mean represents an average of all the numbers, so we have \(\frac{sum-of-all-numbers}{total-amount-of-numbers}\). Although that may seem confusing, it's actually pretty easy.
We have a total of five numbers, which are 1, 6, 2, 7, and 9.
We add these numbers up to find the sum, so 1 + 6 + 2 + 7 + 9 = 25
So our final answer will be \(\frac{25}{5}\) which can be simplified to 5.
The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
Answers
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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PLEASE HELP I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT 7TH GRADE MATH
Answers
Answer:
D.324
Step-by-step explanation:
Answer:
D. 324 Sq in
Step-by-step explanation:
Painted area = area of rectangle + Area of square + Area of triangle
\( = 60 \times 4 + {8}^{2} + \frac{1}{2} \times 8 \times 5 \\ \\ = 240 + 64 + 20 \\ \\ = 324 \: {in}^{2} \)
graph h(x)=(x-1)^2-9
Answers
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
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Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.
Each pair of figures is similar. Find the value of the missing side (x). Round your answer to the nearest tenth if necessary.
Answers
Answer:
4.9 in
Step-by-step explanation:
6/11 = x/9
6/11 times 9 = x
x = 4.9
a) (x + 7)(2x - 1)
b) (3x + 4)(x - 5)
c) (y + 9) (y + 4)
d) (b - 12)(b - 3)
please solve these i’m begging
Answers
B) 3x to the power of 2 -11x -20
C) y to the power of 2 + 13y+36
D) b to the power of 2 -15b + 36
Answer:
A.) \(2x^2 + 13x - 7\)
B.) \(3x^2 - 11x - 20\)
C.) \(y^2 + 13y + 36\)
D.) \(b^2 - 15b + 36\)
Step-by-step explanation:
For all of these you want to multiply the first thingy (Ex. x) in the first parenthesis by the first in the second parenthesis (Ex. 2x) plus the first one in the first (Ex. x) times the second one in the second (Ex. -1) plus the second one in the first one (Ex. 7) times the first one in the second parenthesis (Ex. 2x) plus the second one in the first parenthesis (Ex. 7) times the second one in the second (Ex. -1)
A.) (x + 7)(2x - 1) = (2x * x) + (-1 * x) + (7 * 2x) + (7 * -1) = 2x^2 -x + 14x - 7 = 2x^2 + 13x - 7
B.) (3x + 4)(x - 5) = (3x * x) + (3x * -5) + (4 * x) + (4 * -5) = 3x^2 - 15x + 4x - 20 = 3x^2 - 11x - 20
C.) (y + 9) (y + 4) = (y * y) + (4 * y) + (9 * y) + (9 * 4) = y^2 + 4y + 9y + 36 = y^2 + 13y + 36
D.) (b - 12)(b - 3) = (b * b) + (b * -3) + (-12 * b) + (-12 * -3) = b^2 - 3b - 12b + 36 = b^2 - 15b + 36
Find the length of the line joining A (3,5) and B (1,3)
Answers
Answer:
2√2 units.
Step-by-step explanation:
To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of points A and B into the formula, we have:
d = sqrt((1 - 3)^2 + (3 - 5)^2)
= sqrt((-2)^2 + (-2)^2)
= sqrt(4 + 4)
= sqrt(8)
= 2sqrt(2)
Therefore, the length of the line joining points A and B is 2√2 units.
giving 90 points! NEED IN TWO MINS
Answers
Answer:
300
Step-by-step explanation:
A=wl=10·30=300
multiply the length of the rectangle by the width of the rectangle.
The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.
Answer:
Area = 378.5 ft²
Step-by-step explanation:
The figure is having two semi circles and one rectangle.
\({ \sf{area = area \: of \: semicircles + area \: of \: rectangle}} \\ \\ { \sf{area = 2( \frac{1}{2} \pi {r}^{2}) + (l \times w) }} \\ \\ { \sf{area = \pi {r}^{2} + (l \times w) }} \\ \\ { \sf{area = 3.14 \times {5}^{2} + (30 \times 10)}} \\ \\ { \sf{area = 378.5 \: {ft}^{2} }}\)
on a larger map the coordinates for the location of another Washington DC landmark are eight and -10 in which quadrant of the map in this landmark located explain
Answers
The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.
To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.
Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.
In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.
The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.
The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.
The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.
Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.
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How to solve
2(-3x + 4) = 5x + 2
Answers
Answer:
x = 6/11
Step-by-step explanation:
2(-3x + 4 ) = 5x + 2
-6x + 8 = 5x + 2
- 2 - 2
-6x + 6 = 5x
+6x +6x
6 = 11x
/11 /11
6/11 = x
P=x-2 ÷ x+1 for whar value of x is P equal to zero
Answers
Answer:
x = 2
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
P will equal zero when the numerator is equal to zero , that is
x - 2 = 0 ( add 2 to both sides )
x = 2
P = 0 when x = 2
A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to build. A large chair takes 50 minutes
of machine time and 90 minutes of labor to build. The company has 66 hours of labor time and 30 hours of machine time available each day. How many of each
type of chair is built in a day?
Answers
9514 1404 393
Answer:
30 small chairs and 24 large chairs
Step-by-step explanation:
Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...
20x +50y = 30×60
60x +90y = 66×60
Removing common factors, these can be written in standard form as ...
2x +5y = 180
2x +3y = 132
Subtracting the second equation from the first gives ...
2y = 48
y = 24 . . . . . divide by 2
Using the first equation to find x, we have ...
2x +5(24) = 180
2x = 60 . . . . . . . . . . subtract 120
x = 30 . . . . . . . . divide by 2
The company can build 30 small chairs and 24 large chairs in a day.
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
Answers
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
Create a dot plot of the data shown below.
20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24
Which measure of center would best describe a typical
value of the data set? Why?
would be best,
The mean
because the data distribution is
V nearly symmetrical
Intro
Click or tap the number line to add a dot.
20 21
22
23 24 25 26 27 28 29
Reset
Answers
Based on the data, the mean would be the best measure of center to describe a typical value in the data set.
How to create a dot plot with the given data?To create a dot plot, we can list the numbers in order and place a dot above the corresponding value on the number line.
20 ••
21 ••
22 •
23 ••••
24 •••••
25 ••
26 ••
27 •
The dot plot shows a relatively symmetric distribution of the data, with the majority of values clustered around the middle. Therefore, the mean would be a good measure of center to describe a typical value of the data set.
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Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
Answers
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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)A scanner scanned 63 photos in 9 minutes. If it scans photos at a constant rate, it can scan _____ photos in 21 minutes.
Answers
Answer:
147 photos
Step-by-step explanation:
63 photos -> 9 minutes
To find the number of photos scanned per minute, divide both sides by 9.
\(63\div 9=7\) photos -> 1 minute
To find 21 minutes, we can do \(21\times 7=147\)
Answer:
147 photos
Step-by-step explanation:
Hope this helps
I need help... plssss :))
Answers
Answer:
(1, -1), (1, -2), (2, -3), (2, -4)
NO
Step-by-step explanation:
✔️Each ordered pair is written as (input, output).
Thus, we would have the following:
(1, -1), (1, -2), (2, -3), (2, -4)
✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.
So, the answer is NO. It is not a function.
What is the meaning of "the notion of finiteness"?
Answers
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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Find the length of MK
Answers
26-21=5
So MK=5
I’m sure this is right
The length of the MK is 5 units if the length of MK = length of HK - length of HM.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
We have a number line shown in the picture.
From the number line:
Length of MK = Length of HK - length of HM
MK = 26 - 21
MK = 5 units
Thus, the length of the MK is 5 units if the length of MK = length of HK - length of HM.
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In 2009 the percent of unrestrained passenger vehicle occupants fatalities were 43.6% and 38.5 percent in 2018. What is the percentage change of vehicle fatalities. Round to one decimal place.
Answers
The percentage change of vehicle fatalities from 2009 to 2018 is -11.7%. The negative sign indicates a decrease in the percentage of unrestrained passenger vehicle occupant fatalities during this period.
To calculate the percentage change of vehicle fatalities from 2009 to 2018, we can use the following formula:
Percentage Change = ((Final Value - Initial Value) / Initial Value) * 100
Given:
Initial Value (2009) = 43.6%
Final Value (2018) = 38.5%
Using the formula, we can calculate the percentage change:
Percentage Change = ((38.5 - 43.6) / 43.6) * 100
= (-5.1 / 43.6) * 100
= -11.70 (rounded to one decimal place)
Therefore, the percentage change of vehicle fatalities from 2009 to 2018 is -11.7%. The negative sign indicates a decrease in the percentage of unrestrained passenger vehicle occupant fatalities during this period.
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Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answers
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
Mark this as brainliest please.
Find an equation of the line described below. Write the equation in slope intercept form( solved for y) when possible through (8,5) and (5,8)
Answers
\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)
Find u. See image below.
Answers
The value of u is 2 in the given right-angled triangle.
The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as \(\sqrt{2}\) and v.
We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.
What is Pythagoras theorem?It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In a right-angled triangle ABC, if
BC = hypotenuse
AC and AB are the other two sides then,
\(BC^2 = AC^2 + AB^2\).
For this problem, we can find the value of u by using trigonometric identities.
From the figure, we have an angle of 45°.
Consider Cos 45°.
Cos Ф = base / hypotenuse
Cos 45° = \(\sqrt{2}\) / u ...........(1)
From trigonometric identities of cosine.
We have,
Cos 45° = 1 / \(\sqrt{2}\)............(2)
From (1) and (2)
We get,
1 / \(\sqrt{2}\) = \(\sqrt{2}\) / u
u = 2.
Thus the value of u is 2 in the given right-angled triangle.
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If a = 20 cm, b = 8 ½ cm, c = 7 ½ cm, d = 4 cm, and e = 8 cm, what is the surface area of the figure?
Answers
The total surface area of the figure is 1208cm². Option A
How to calculate the area of a prism?You should understand that the total surface area of the figure is the sum of all the face areas of the various parts of the figure. There are front and back faces of the prism
Area of bases of the prisms
1. Area = a*c*2
= 20*12*2
Area = 480cm²
2. Area = a*c*2
= 20*8*2
Area = 320cm²
3. Area = (d*c)/2 * 4
Area = (5*12)/2 *4 = 30*4
Area = 120 cm²
4) Area = c*b*2= *12*2
Area = 208cm²
5) Area = a*c*2 = 5*8*2Area = 80cm²
Therefore, the total surface area of the figure is
Total surface area= (480+320+120+208+80)cm²
= 1208cm²
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Correct question:
Two same-sized triangular prisms are attached to a rectangular prism as shown below.If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?a 1,208 square centimetersb 1,592 square centimetersc 1,004 square centimetersd 1,400 square centimeters
How do you put 2hundreds 9tens 18ones in standard form
Answers
Answer:
308
Step-by-step explanation:
200+90+18=200+108=308
three hundred seven
or
307
Step-by-step explanation:
I can't remember which is standard form. But hope it helps.
QUESTION 15
Consider the following argument: If seven clowns are squeezed into a small car, we are at the circus. Seven clowns are
not squeezed into a small car. So, we are not at the circus. What is the logical form of this argument?
O a. Modus Tollens
O b. Denying the antecedent
O c. Affirming the consequent
O d. Disjunctive Syllogism
O e. Modus Ponens
Answers
The logical form of this argument is -
Denying the Antecedent.
What is them meaning of "Denying the antecedent"?Denying the antecedent, sometimes also called inverse error or fallacy of the inverse, is a formal fallacy of inferring the inverse from the original statement.
It is committed by reasoning in the form :
If P, then Q. Therefore, if not P, then not Q.
Given is the argument as -
"If seven clowns are squeezed into a small car, we are at the circus. Seven clowns are not squeezed into a small car. So, we are not at the circus"
The logical form of this argument is -
Denying the Antecedent
Therefore, the logical form of this argument is -
Denying the Antecedent.
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The U.S Census Bureau provides data on the number of young adults, age 18-24, who are living in their parents’home. Let
M= the event a male young adult is living in his parent’ home
F = the event a female young adult is living in her parent’ home
If we randomly select a male young adult and a female adult, the Census Bureau data enable us to conclude P(M)=0,56 and P(F)=0,42 (The World Almanac, 2006).The probability that both are living in their parent’home is 0,24
a, What is the probability at least one of the two young adults selected is livingin his or her parent’ home?
b, What is the probability both young adults selected are living on their own (neither is living in their parent’ home?
Answers
a) The probability that at least one of the two young adults selected is living in his or her parent’s home is; 0.74.
b) The probability both young adults selected are living on their own is; 0.26
How to solve Conditional Probability?We are given the events as;
M = the event a male young adult is living in his parent’ home
F = the event a female young adult is living in her parent’ home
We are also given that;
Probability that a male young adult is living in his parent’ home; P(M) = 0.56
Probability that a female young adult is living in her parent’ home; P(F) = 0.42
a) The probability that at least one of the two young adults selected is living in his or her parent’ home is;
P(at least one of the two young adults selected is living in his or her parents home) = P(M or F) = P(M) + P(F) - P(M and F)
= 0.56 + 0.42 - 0.24 = 0.74.
B) The probability both young adults selected are living on their own which means neither is living with their parents is;
P(neither living with parents) = 1 - P(M or F)
= 1 - 0.74 = 0.26.
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