The tree diagram would be best for a probability calculation with two or more “and” statements, option (c) is correct.
What is probability?It 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 probability calculation can be computed using multiple models, each of which is dependent on the given parameters. A graphical model, such as a tree diagram, or an analytical model, such as the systematic list model, can be used.
Tree diagram models are useful for visually showing complex probabilities and aiding solution visualization.
Thus, the tree diagram would be best for a probability calculation with two or more “and” statements option (c) is correct.
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Consider the series [tex]\frac{1}{4} +\frac{1}{3} +\frac{4}{9} +\frac{16}{27} +\frac{64}{81}[/tex]
Does the series converge or diverge?
Answer:
Diverge
Step-by-step explanation:
Each successive term is larger than the previous one, so the series will diverge.
The given series can be condensed to
[tex]\displaystyle \frac14 + \frac13 + \frac49 + \frac{16}{27} + \frac{64}{81} + \cdots = \frac14 \left(1 + \frac43 + \frac{4^2}{3^2} + \frac{4^3}{3^3} + \cdots\right) = \frac14 \sum_{n=0}^\infty \left(\frac43\right)^n[/tex]
which is a geometric series with ratio 4/3. Since this ratio is larger than 1, the sequence of partial sums of the series diverges, so the infinite series also diverges.
We can also just the n-th term test:
[tex]\displaystyle \lim_{n\to\infty} \frac14 \left(\frac43\right)^n = \frac14 \lim_{n\to\infty} \frac{4^n}{3^n} = \infty[/tex]
since 4ⁿ > 3ⁿ for all n > 0.
A doctor observes a graph that shows the electrical activity (in volts) of the heart of a patient over a period of time (in seconds). Each spike corresponds to one heart beat. The doctor needs to calculate the heart rate of the patient in beats per minute.
What is the heart rate of this patient?
To calculate a patient's heart rate, the doctor must take into account a segment of time, such as a minute, and count the number of times the heart beats in that segment.
What is heart rate?Heart rate is a term that refers to the number of heart contractions or beats per unit of time.
Heart rate is usually measured at various points, but most commonly it is measured at the wrist, neck, or chest.
According to the above, the most common way for the doctor to establish the patient's heart rate is to count the heart beats in a segment of time such as one minute.
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60 beats per minute
I got it right on the Kahn Academy Unit Test, trust me <3
Which linear inequality is represented by the graph?
Answer:
y≤2/3x+1/5
or the very first one
Step-by-step explanation:
What is the value of x?
Input Output
1 5
2 7
3 9
Х 17
to get the equation of any straight line, we simply need two points off of it, so let's use the points in the picture below.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{4}{2}\implies 2 \\\\\\ \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}{2}(x-\stackrel{x_1}{1})[/tex]
now, if we use the last point from the table, namely (x , 17), we can see that x = x and y = 17, so let's plug those in the equation
[tex](17)-5=2(x-1)\implies 12=2x-2\implies 14=2x\implies \cfrac{14}{2}=x\implies 7=x \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (7~~,~~17)~\hfill[/tex]
Convert the angle \frac{11\pi}{12} 12 11π radians to degrees
The angle 11π/12 radian after converting it to degree it become 165 degree.
What is an angle?The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.
We have given:
An angle 11π/12
Let's denote it with β
[tex]\rm \beta = \dfrac{11\pi}{12}[/tex]
To convert it to degree, replace π with 180°, we get:
[tex]\rm \beta = \dfrac{11\times180}{12}[/tex]
β = 165°
Thus, the angle 11π/12 radian after converting it to degree it become 165 degree.
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Newton Street and Oakland Avenue intersect. If the diagonal distance across the intersection is 17 meters and Newton Street is 15 meters wide, how wide is Oakland Avenue?
Mrs. Hernandez is redesigning her craft room which is in the shape of a rectangular prism. She wants to add wainscoting, which is a wood wall covering, from the floor to halfway up the walls. There are two doors that are each 3 feet wide. How many square feet of wainscoting will she need to cover the space?
Answer:
312
Step-by-step explanation:
T.S.A : ( 2 × L × w ) + ( 2 × h × w ) + ( 2 × L × h ) = Area
9 - 3 = 6 - 3 = 3
( 2 × 12 × 3 ) + ( 2 × 8 × 3 ) + ( 2 × 12 × 8 ) = Area
72 + 48 + 192 = 312
A figure can be broken into a parallelogram and triangle.
Which formulas will you use to find the area of this irregular figure? Select all that apply.
A = one-half b h
A=b+h
A=bh
A=2bh
A=2(b+h)
I probably will answer before a response since I never get a response
Answer:
Rectangle A=bh=4 x 3
Triangle A=1/2bh=1/2 x4 x3
The area of the figure
12+6=18
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
Find the value of x that will make A||B.
A
B.
14x
2x
X =
= [?]
Answer:
x = 30
Step-by-step explanation:
if A||B, then 4x + 2x must equals to 180 (interior angles of 2 parallel lines)
6x = 180
x = 30
What are the dimensions of the rectangular prisms you identified in parts a and b? list dimensions for all your decompositions (sets of shapes).
The dimensions of the rectangular prisms are the side lengths of the rectangular prism
How to determine the dimensions?
A rectangular prism has the following dimensions
Length, width and height
This means that the dimensions of the rectangular prisms are the length, width and height of the prism
To determine the dimension, we simply take the value of the above terms i.e. length, width and height
Note that the question is incomplete, so I gave a general explanation
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please help its due very soon any help will be nice!
posting answer as a picture because it was "inappropriate"
Circle A has center of (0,4) and a radius of 6, and circle B has a center of (-3,5) and a radius of 24. What steps will help show that circle A is similar to circle B?
Translate circle A using the rule (x + 3y - 1). Rotate circle A 180° about the center
Dilate circle A by a scale factor of 4
Reflect circle A over the line y = x
Answer: Translate circle A using the rule (x + 3y - 1), Dilate circle A by a scale factor of 4
Step-by-step explanation:
You need to first map the centers onto each other, then make the radii equal using a dilation.
what’s the area and perimeter for this problem?
Answer:
area:1.9×0.75÷2
perimeter:2+0.75+2.25
Please help me on this!
A 90 ° angle is divided into 2 angles. Find the size of the angles. 3x+15 and 2x+25
The two angles are 45 degrees.
Step-by-step explanation:
You are just halfing the 90 degree angle, so all you have to do is divide 90 by two, and you have 45.
The graph of a quadratic equation is shown here, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors C(x - x1)(x - x2). Be sure to state the values of x1 and x2.
The graph is a quadratic function, and the equation of the function is C(x) = (x + 4)(x - 3)
How to determine the equation of the graph?From the graph the x-intercepts are:
x = -4 and x = 3
Rewrite as:
x + 4 = 0 and x - 3 = 0
Evaluate the product of both equations
(x + 4) * (x - 3) = 0* 0
This gives
(x + 4)(x - 3) = 0
Express as a function
C(x) = (x + 4)(x - 3)
Hence, the equation of the function is C(x) = (x + 4)(x - 3)
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i need hep with my ready i really need it
Answer:
Figure JK is shown in the drawing.
Step-by-step explanation:
5. suppose it costs $4 for a ticket to the school dance. at that price, the dance committee sells 200 tickets.
the dance committee realizes that for every $1 increase in ticket price, they sell 10 fewer tickets. find the
maximum revenue and the ticket price that maximizes the revenue.
broo plsss heloo meeee
Answer:
$1440 max revenus$12 for a ticketStep-by-step explanation:
The quantity of tickets sold is presumed to be a linear function of the price. The revenue from sales will be the product of the number sold and their price.
__
quantityThe quantity sold is reduced by 10 when the price goes up 1, so the slope of the quantity curve is -10/1 = -10. The given point on the quantity curve is (p, q) = (4, 200). Using these values in the point-slope equation of a line, we find ...
q -200 = -10(p -4)
q = -10(p -4) +200 . . . . . add 200
revenueThen the revenue is ...
r(p) = pq
r(p) = p(-10(p -4) +200) = p(-10p +240)
r(p) = -10p(p -24) . . . . factored form
maximumThis equation describes a parabola with zeros at p=0 and p=24. The peak value of the revenue is on the axis of symmetry, halfway between the zeros. That is, the price p=12 will maximize revenue. At that price, the revenue is ...
r(12) = -10(12)(12 -24) = 10(144) = 1440
The maximum revenue is $1440 at a ticket price of $12.00.
The product of a number y and 3 is 6.
Answer:
y=2
Step-by-step explanation:
y*3=6
divide both sides by 3
y=2
The denominator of a fraction is 1 less than 5 times the numerator. If the numerator is
increased by 5 and the denominator is decreased by 4, the resulting fraction is equal to ½. Find the ORIGINAL fraction.
you get maths when you practice itself
so do it yourself
ANSWER FOR 25 POINTS
Answer:
2058
Step-by-step explanation:
every 5 years is 0.53 so you times that by 11 to get 7.61 and then half of .53 is .265 and round that up you get three more years so 2058 is the answer.
Please help ASAP
A horizontal stretch by a factor of k uses the rule: (x,y) → (kx, y) Use this rule to perform a
horizontal stretch on the figure by a scale of 3/2 on the pentagon ABCDE.
New
Original
A(-4,2)
B(-1,5)
C(3,3)
D(2,-2)
P(-2,-1)
Is the new figure similar or congruent to the original? Explain how you know
A' = (-6, 2), B' = (-3/2, 4), C' = (9/2, 3), D' = (3, -2) and E' = (-3, -1). The new figure is similar to the original figure
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
A horizontal stretch by a factor of k uses the rule: (x,y) → (kx, y). Pentagon ABCDE is stretched horizontally by a factor of 3/2, hence:
A' = (-6, 2), B' = (-3/2, 4), C' = (9/2, 3), D' = (3, -2) and E' = (-3, -1)
The new figure is similar to the original figure
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Select the correct answer from each drop-down menu.
The number of people who visited a state park over the last nine years is recorded in the table.
Year
2
3
4
5
6
7
8
9
Visitors
452
360
348
302
198
124
204
308 398
The visitor data is best modelled by a quadratic function
Based on the model, the state park management should plan for more than 400 visitors next year
Graphing functionsFrom the question, we are to determine the type of function that best describes the visitors data.
From the graph, we deduce that the type of function that best describes the visitors data is a quadratic function
Also, from the graph, we can say that the state park management should plan for more than 400 visitors next year
Hence, the visitor data is best modelled by a quadratic function
Based on the model, the state park management should plan for more than 400 visitors next year
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Answer:
The correct answers are Quadratic and More.
Step-by-step explanation:
I got it right on the Edmentum test.
A map of your town has a scale of 1 inch to 0.25 miles. There are two roads that are 5 inches apart on the map. What is the actual distance between the two roads? CLEARCHECK The actual distance between the two roads is miles.
Answer:
Step-by-step explanation:
I'm not oversimplifying this answer.
If 1 inch is .25 miles then all you have to do is multiply .25 miles by 5 inches and u get 1.25 miles.
[tex]\begin{array}{ccll} \stackrel{in}{model}&\stackrel{mi}{actual}\\ \cline{1-2} 1 & 0.25\\ 5& x \end{array} \implies \cfrac{1}{5}=\cfrac{0.25}{x}\implies x=(5)(0.25)\implies x=1.25[/tex]
On a coordinate plane, a triangle is shown. It has points (1, 4), (5, negative 2), and (negative 3, negative 2).
Mary thinks the triangle is equilateral. How would you support or dispute her conjecture?
Calculate the slope of all three sides, and check whether the slopes are equal.
Calculate the slope of all three sides, and check whether any slopes are reciprocals.
Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.
Use the distance formula to calculate the length of all three sides, and check whether any two sides are congruent.
Answer: C
Step-by-step explanation:
To determine if a triangle is equilateral, you need to see if all the sides have the same length.
Answer:
C
Step-by-step explanation:
Ben
-5 x + y = -1
-5x + y = 10
Answer:
No solution
Step-by-step explanation:
As the coefficient of x is the same, and the constant terms are different, the lines will lie parallel to each other and never intersect.
Hence, this system of equations has no solution.
Answer:
no solution
Step-by-step explanation:
the equation has no solution
Use the layout of the parking lot to answer the questions. what is the total area available for cars to park? m2. if the parking spaces are compact, they have an area of 12.5 m2. how many compact parking spaces will fit in the lot? . if the parking spaces are not compact, they will be 3 meters by 5.5 meters. how many noncompact parking spaces will fit in the lot? .
The true statements are:
The total area available is 858 square metersThe number of compact parking space is 68 The number of non-compact parking space is 52The total area available for cars to parkFrom the complete question, we have the dimensions of the parking lot to be: 78 meters by 19 meters
Also, the dimension of the aisle is: 8 meters by 78 meters
The total parking area is the difference between the parking lot area and the aisle area
This gives
Parking Area = 78 * 19 - 8 * 78
Parking Area = 858
The total area available for cars to park is 858 square meters
The number of parking spaceThe number of parking lot is the quotient of the total parking area and the area of each compact
So, we have:
n = 858/12.5
n = 68.64
Remove the decimal
n = 68
Hence, the number of parking space is 68
The number of parking space for non-compact parking spaceThe number of parking lot is the quotient of the total parking area and the area of each non-compact space
So, we have:
n = 858/(5.5 * 3)
n = 52
Hence, the number of parking space is 52
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Estimate the answers after rounding to the indicated place value
748-154 (tens)
a:610
b:600
c:500
d:590
e:900
The value of the expression after rounding to the nearest tens is 600
How to estimate the expression?The expression is given as:
748 - 154
When rounded to the nearest tens, we have:
750 - 150
Evaluate the difference
600
Hence, the value of the expression after rounding to the nearest tens is 600
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HELP ME WITH THIS PLEASEEE
Answer:
0.125%
Step-by-step explanation:
area of square
10*10=100
area of triangle
(5*5)/2=12.5
[tex]\frac{12.5}{100}[/tex]=0.125
AB is a straight line.
Work out the size of angle x.
Not drawn accurately
132%
х
ܬ
B
Answer:
x would be 48
Step-by-step explanation:
180 (because its a straight line) take away 132 and it gives you 48
