From the given discrete probability distribution, we have that:
a) Because the sum of all probabilities is of 1, we can verify that this is a probability model.
b) P(3 or 4) = 0.229.
c) P(at least one) = 0.908.
d) P(4) = 0.035.
e) Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.
What is the discrete probability distribution?The probability distribution in this problem gives the probability of a household having a number of TV sets, given as follows:
P(X = 0) = 0.092.P(X = 1) = 0.275.P(X = 2) = 0.101.P(X = 3) = 0.194.P(X = 4) = 0.035.P(X = 5) = 0.303.For item a, we have to add all the probabilities, hence:
0.092 + 0.275 + 0.101 + 0.194 + 0.035 + 0.303 = 1.
Because the sum of all probabilities is of 1, we can verify that this is a probability model.
For item b, we take the probabilities from the table as follows:
P(3 or 4) = P(X = 3) + P(X = 4) = 0.194 + 0.035 = 0.229.
For item c, we follow a similar procedure to item b, taking the probabilities from the table as follows:
P(at least one) = 1 - P(X = 0) = 1 - 0.092 = 0.908.
For item d, from the table, we have that:
P(4) = 0.035.
For item e, we have that:
P(X ≥ 4) = 0.338.P(X ≤ 4) = 0.662.Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.
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Determine the value of expression one
5(x+2)-7 When X equals 4
What porcent of 96 is 36?
f(x)=cos(x). Find the x-intercepts of f(x) on [0, 2).
The x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2
What is the x-intercept of the function?The x-intercept of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0
How to find the x-intercepts of the function?The function is given as
f(x) = cos(x)
And the interval is given as
[0, 2)
The above means that we determine the value of x when the function f(x) equals 0
So, we have
cos(x) = 0
The above equation can be solved graphically
See attachment for the graph of the function f(x) = cos(x)
In the interval [0, 2), the graph crosses the x-axis at points x = π/2 and 3π/2
Hence, the x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2
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1. find three consecutive integers such that twice the lease integer is 12 more than the greater integer.
2. The perimeter of a rectangle is 150 cm the length is 15cm greater than the width. Find all of the dimensions, please.
The CFO of International Hardware expects to invest $50,000 of the firm's funds in a long-term investment vehicle at the end of each year for the next five years. She expects that the company will earn 7% interest that will compound annually. What is the value of these funds at the end of the five-years
The future value of these funds at the end of the five-years is $287,536.95
What is the future value of an annuity?
The future value of annuity , which is a stream of level of cash flows of $50,000 each year is determined using the future value formula of an ordinary annuity bearing in mind that that investment for an ordinary annuity is made at the end of each year rather than at the beginning of each year
FV=PMT*(1+r)^N-1/r
FV=future value of the annuity=unknown
PMT=annual investment=$50,000
r=annual interest rate=7%
N=number of annual investments to be made over 5 years=5
FV=$50,000*(1+7%)^5-1/7%
FV=$50,000*(1.4025517307-1)/0.07
FV=$50,000*0.4025517307/0.07
FV=$287,536.95
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the sum of 15 and the product of 5 and z
Answer:
Step-by-step explanation: 15 divided by 5 is 3
so the answer is 3
.
A gold coin is worth $800 per oz. A silver coin is worth $50 per oz. How many ounces of gold can I purchase if I have $5600?
10 ounces
4000 ounces
7 ounces
Not enough information
Answer:
7 oz.
Step-by-step explanation:
$800 x 7 = $5600.
Answer:
7 ounces
Step-by-step explanation:
5600/800=7
please help
pic provided below
what can you tell about the mean of each distribution?
The information illustrated that A. there is a small difference in the mean number of stray cats placed in homes buy a new lease on life animal clinic each week and the mean number of stray cats placed in homes by no raft staff animal hospital each week.
What is a mean?A mean or average is the ratio of the sum of observations to the number of observations.
For the first case:
Mean = (13*5 + 14*10 + 15*19 + 16*13 + 17*4)/75 = 10.21
For the second case:
Mean =(3*2 + 4*10 + 5*21 + 6*11 + 7*5 + 8*3)/33 = 10.48
Therefore, it should be noted that there is a small difference in the mean number of stray cats placed in homes buy a new lease on life animal clinic each week and the mean number of stray cats placed in homes by no raft staff animal hospital each week.
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The graph of the parent function f(x) = x is translated to form the graph of g(x) = (x+3)³-4. The point (0, 0) on the
graph of f(x) corresponds to which point on the graph of g(x)?
Answer:
f(x) + n - shift a graph of f n units up
f(x) - n - shift a graph of f n units down
f(x + n) - shift a graph of f n units left
f(x - n) - shift a graph of f n units right.
f(x) = x³, g(x) = (x + 3)³ - 4 = f(x + 3) - 4
3 units left and 4 units down.
(x, y) → (x - 3, y - 4)
therefore
(0, 0) → (0 - 3, 0 - 4) = (-3, -4).
Answer: (-3, -4).
Step-by-step explanation:
hope it helpsssss
Skylar is the youngest of four siblings whose ages are consecutive integers. if the sum of their ages is 70, find skylars age
Answer: 16
Step-by-step explanation:
Let Skylar is x year old
Hence, they ages is (x+1), (x+2), (x+3)
Thus,
x+(x+1)+(x+2)+(x+3)=70
x+x+1+x+2+x+3=70
4x+6=70
4x+6-6=70-6
4x=64
Divide both parts of the equation by 4:
x=16
The age of Skylar is 16.
What is algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the ages of the siblings be x, x+1, x+2 and x+3.
and, the sum of the ages be 70.
So, x+ x+1 + x + 2 +x+ 3 = 70
4x + 6 = 70
4x = 70 - 6
4x = 64
x= 64/4
x = 16.
Then, the age of siblings be 16. 17, 18 and 19.
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Two travelers riding camels are lost in the desert, so they split up to try to find help. One traveler goes east, while the other goes north. The traveler going east goes 7 miles per hour faster than the traveler going north, and after 3 hours, they are 39 miles apart. How fast are the travelers going? Show your work.
Answer:
which one is a factor that effects temperature between Tanzania and Netherlands ?
Evaluate the function.
f(x)=-x²-8
Find f(4)
Answer: 8
Step-by-step explanation:
The answer is 8 because you simply replace x with 8.
f(8)=-4^2-8
-4 times -4 equals 16 and then you do 16-8 which is 8. The answer is 8.
Answer:
give brainliest to other person, I read the question wrong lol
Analyze the diagram below and answer the question that follows.
Which statement describes the shaded region in the Venn diagram?
The statement that describes the shaded region in the Venn diagram is (a) (P u Q)' n S
How to determine which statement describes the shaded region in the Venn diagram?The Venn diagram represents the given figure
On the Venn diagram, we can see that:
All region that contains set P and Q are not shaded
This means that
(P u Q)'
The only region that is shaded in the diagram is the region of set S
This is then represented as
(P u Q)' n S
Hence, the statement that describes the shaded region in the Venn diagram is (a) (P u Q)' n S
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What is $20 for 8 bottles as a unit rate
Answer:
$2.50
Step-by-step explanation:
20 ÷ 8 = 2.50
A triangle has the exterior angle measures(-9x+13), (-2x+3) and (-10x+8)
Find the value of X
Answer:
x = -16
Step-by-step explanation:
An exterior angle of a triangle is the angle formed when one side is extended.
The sum of all exterior angles is 360°
Since the 3 exterior angles are given in terms of x we can add them up, set the sum to 360 and solve for x
Adding we get
-9x + 13
-2x + 3
-10x + 8
_________
-21x + 24
_________
∴ -21x + 24 = 360
Subtract 24 from both sides:
-21x = 360-24
-21x = 336
Divide both sides by -21
-21x/-21 = 336/-21
x = -16
Hope that helps. Please ask if you need any more explanation
In the past month Kiko rented six video games and three DVDs the rental price for each video game was $3.20 the rental price free to do with it was $3.70 what is the total amount the kiko spent on video game and do the rentals in the past month
The total amount the Kiko spent on video game and DVDs is $30.30
What is the relationship between rental price and total cost?
The relationship between rental price and total cost is such that the total cost of renting is determined cost per item multiplied by the number of items rented, in other words, the total amount Kiko spent on video game is the rental price of each video game multiplied by the number of video games rented
total amount Kiko spent on video game=$3.20*6
total amount Kiko spent on video game=$19.20
total amount Kiko spent on DVDs=$3.70*3
total amount Kiko spent on DVDs=$11.10
total amount Kiko spent=$19.20+$11.10
total amount Kiko spent=$30.30
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The musical last 42 minutes it ends at 159 pm what time did the musical start
Answer:
1:17 PM
Step-by-step explanation:
1:59 has 59 minutes
42 minutes is what we must subtract by to find the time of the musical, M
[tex]M = 59 - 42\\M = 17\\M = 1:17[/tex]
5. Write two numbers so that the value of the digit 9 in the second
number is 10 times the value of the digit 9 in the first number.
The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.
The first number will be 9 and the second number will be 98.
In the second number, the 9 is in the tens position which means that it has the value of 90.
In the first number, the value of 9 is simply 9.
therefore,90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.
The “tens” digit is the digit in the second place to the left of the decimal point. The tens digit of 42936.875 is “3”. The “tenths” digit is the digit directly to the right of the decimal point.Each digit is a different place value. The left digit is the tens' place. It tells you that there are 8 tens. The last or right digit is the ones' place which is 4 in this example
In our decimal number system, the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right. A number in standard form is separated into groups of three digits using commas.
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Evaluate 3x2+8x+8 when x=3.
Answer:
Step-by-step explanation: since X=3 replace X
3 (3)2 +8 (3)+8
18+24+8 =50
kindly assist in answering these question
Answer:
4. 7
5. a=7 d=31.5
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
3,\, 12,\, 48,\, ...
3,12,48,...
This is
sequence and the
is equal to
.
The given sequence is an arithmetic sequence and the common difference is 4.
Given, the sequence is :
3,12,48
we need to determine the common difference.
common ratio = a₂/a₁
a₂/a₁ = 12/3
a₂/a₁ = 4
a₃/a₂ = 48/12
a₃/a₂ = 4
hence the common difference is 4.
Therefore, the common difference indicates arithmetic sequence.
There are two approaches to define an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the identical" (or) In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to its preceding term."
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What is f_x (0,0) if
Hint: use Limit
[tex]f_x(0,0)[/tex] is the partial derivative of [tex]f[/tex] with respect to [tex]x[/tex] evaluated at the origin. By definition of derivative, this is the limit
[tex]\displaystyle f_x(0,0) = \lim_{x\to0} \frac{f(x,0) - f(0,0)}{x-0} = \lim_{x\to0} \frac{f(x,0)}x[/tex]
We have by definition of [tex]f[/tex],
[tex]f(x,0) = \dfrac{x^5}{x^4+0^4} = \dfrac{x^5}{x^4}[/tex]
so
[tex]\displaystyle f_x(0,0) = \lim_{x\to0} \frac{\frac{x^5}{x^4}}x = \lim_{x\to0} \frac{x^5}{x^5} = \lim_{x\to0} 1 = \boxed{1}[/tex]
Scrie numerele impare cuprinse între
695 și 707
Answer:
997
999
701
703
705
Sper că am ajutat <3
Simplify the expression: 6 + 2(3d² + 4) − d²
5d^2 + 14
Step-by-step explanation:Distribute6 + 2(3d^2+4) -1d^2
Add the numbers14 + 5d^2
Rearrange terms5d^2 + 14
Sol. : 5d^2 + 14
Can someone please help with my question?
The required line representing the rise and the run of the line is created.
And the slope of the line in its simplest form is 9/-18.
Given a line is represented on the graph.
we need to create lines representing the rise and run of the line.
To find the slope of the line we need to determine the rise and run of the line.
The slope of a line is defined as the rise divided by the run, or the ratio of the rise to the run. It gives information about a line's slope in the coordinate plane. Finding the slope between two separate places is comparable to calculating the slope of a line.
The coordinates of the points are:
(9,0) = (x₁ , y₁)
(₋9 , 9) = (x₂ , y₂)
we know that slope (m) = rise/ run
rise = y₂ ₋ y₁
= 9 ₋ 0
= 9
run = x₂ ₋ x₁
= ₋9 ₋ 9
= ₋18
hence the slope is 9/₋18
The required slope of the line is 9/-18.
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help pls, the cut off part at the bottom is L
Answer:
∠ON = 5
Making even jumps, I was able to determine that angles O and N were 5 units apart.
Information given:∠LM is twice the length of ∠ON ∠LN = 7∠OP = 4If you need me to put it in radical form or have concerns about this, please inform me. Have a good day!
Which equation does the graph of the systems of equations solve?
According to the equation does the graph of the systems of equations solve is B.
1/3x+1=2x-4 is correct.
What is Graph?A graph is a structure consisting of a group of items, some of which are "linked." The objects are mathematical abstractions known as vertices, and each pair of connected vertices is known as an edge.
According to the given data:It is evident from the graph that the two lines intersect at the location:
(3, 2).
To put it another way,
at x =3, y = 2
The point where two lines intersect is:
(x, y) = (3, 2) (3, 2).
Now,
x = 3 is the point of the x-coordinate
y = 2 is the point of the y-coordinate
Now, examine the equation, 1/3x+1=2x-4, to see if it contains the correct x-coordinate value.
(1/3)x + 1 = 2x -4
subtracting 1 from both side:
(1/3)x + 1 -1 = 2x -4 -1
We get:
(1/3)x = 2x -5
subtract 2x from both sides:
(1/3)x -2x = 2x -5 -2x
We get:
-(5/3)x = -5
on simplifying the equation we get:
x = 3
the value of x = 3
this show that the 1/3x+1=2x-4 is correct.
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Please help me I’m begging you
Answer: 6 : 3 = 8 : 4 = 1 : 2
Step-by-step explanation:
Here are 3 equivalent ratios
6 : 3 = 8 : 4 = 1 : 2
The perimeter of a pool is 150 m. the rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. draw another scale drawing of the pool using the scale 25 m to 2 cm. Explain why your drawing is accurate.
The dimensions of the another rectangle is 2 cm and 4 cm.
According to the statement
We have to find that the perimeter of another rectangle.
So, For this purpose, we know that the
The perimeter of a shape is defined as the total length of its boundary.
From the given information:
The perimeter of a pool is 150 m. the rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. draw another scale drawing of the pool using the scale 25 m to 2 cm.
Then
From the given rectangle,
Length of the rectangle = 5 cm
Width of the rectangle = 10 cm
Ratio of length : width = 1 : 2
Perimeter of the rectangle = 2(l + b)= 150 cm
l + b = 75 -----(1)
Since, l : b = 1 : 2
l/b = 1/2
b = 2l ------(2)
From equations (1) and (2),
l + 2l = 75
3l = 75
l = 25 m
Width 'b' = 2(25) = 50 m
Now we've to draw a rectangle with a scale = 25 : 2
Therefore, multiplier factor = 25/l = 25/2
l = 2 cm
Similarly,
50/w = 25/2
w = 4 cm
Now we are able to draw a rectangle with length = 2 cm and width = 4 cm.
So, The dimensions of the another rectangle is 2 cm and 4 cm.
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2. Choose Yes or No to tell if the Distributive
Property is being used.
2a. 4 x (2+3)=
4x244x3
2b. (4+5) x2 =
4x2+5X2
2c. 2x4=
2x (3+1)
2d. 7 x (5-2)=
7x5-7x2
O Yes No
O Yes O No
O Yes O No
O Yes O No
Answer: Yes
Step-by-step explanation: