The graph whose domain is positive will not have any x - intercept.
What is graph of a function?
At first it is important to know about function
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Graph of a function is the set of all points of the form (x, f(x)).
The graph is positive in its entire domain
f(x) > 0 for all x
So the graph will never cut the x axis at any point.
So the graph will not have any x intercept.
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P is inversely proportional to Q.
P= 10 when Q = 1.2
a) Work out the value of P when Q = 2.
b) Work out the value of Q when P = 1.25
Answer:
P = 10
Q=12
[tex]p = \frac{1}{q} [/tex]
a). p = 1/2 = 0.5
b). 1.25 = 1/Q
Q = 1/1.25 Q = 0.8
Answer:
P=6
Q= 9.6
Step-by-step explanation:
A)
y=k/x
substitute it in.
10=k/1.2
10×1.2=k
k=12
y=12/x
x=2
12/2=6
P=6.
B)
Since we know y=kx
we know k=12
you would do 12/1.25 to give u Q
12/1.25=9.6
According to flightstats com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 20 flights are randomly selected, and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment (b) Determine the values of n and p. (c) Find and interpret the probability that exactly 12 flights are on time. (d) Find and interpret the probability that fewer than 12 flights are on time. (e) Find and interpret the probability that at least 12 flights are on time. (f) Find and interpret the probability that between 10 and 12 flights, inclusive, are on time.
As, in our question we are doing 20 trials to get the number of on-time flights. Hence, this is a binomial experiment.
The value of p=0.8 and n=20
The probability that exactly 12 flights are on time = 0.1772
The probability that exactly fewer than 12 flights are on time = 0.1049
The probability that at least 12 flights are on time = 0.8951
The probability that between 10 and 12 flights, are on time = 0.1795
(a) Binomial probability is the probability of exactly 'k' successes on 'n' repeated trials in an experiment which has two possible outcomes.
As, in our question we are doing 20 trials to get the number of on-time flights. Hence, this is a binomial experiment.
(b) As, the probability of success on an individual trial is p and here success means the flight is on-time so the value of p be,
p = 80% = 0.8
As, we made 20 trials and n is the total number of trials then,
the value of n be,
n = 20
(c) Now, if the probability of success on an individual trial is p ,
Then the binomial probability is C(n,x)⋅p^x⋅(1−p)^(n−x)
The probability that exactly 12 flights are on time, be
P(X=12) = C(20,12)⋅(0.8)^12⋅(1−0.8)^(20-12)
P(X=12) = C(20,12)⋅(0.8)^12⋅(0.2)^(8)
P(X=12) = 10,07,760×0.0687×0.00000256
P(X=12) = 0.1772
(d) Now, the probability that exactly fewer than 12 flights are on time, be
P(X<12) = 1 - P(X>12)
So, P(X>12) = P(X=13)+P(X=14)+P(X=15)+P(X=16)+P(X=17)+P(X=18)+P(X=19)+P(X=20)
So, P(X>12) = 0.0545 + 0.0364 + 0.1746 + 0.2182 + 0.2054 + 0.1369 + 0.0576 + 0.0115
P(X>12) = 0.8951
P(X<12) = 1 - 0.8951
P(X<12) = 0.1049
(e) Now, the probability that at least 12 flights are on time, be
P(X>12)=0.8951
(f) The probability that between 10 and 12 flights, are on time, be
P(X=10)+P(X=11)+P(X=12) = 0.0020 + 0.0003 + 0.1772
P(X=10)+P(X=11)+P(X=12) = 0.1795
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Please help with the unfilled spots! :)
The value of [tex](x_{1},y_{1})= (-9,-6)[/tex] and the value of [tex](x_{2},y_{2})= (-1,-12)[/tex],according to the question.
What do you mean by XY coordinates?
The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.
According to the data in the given question,
We have:
The coordinates of points A are (-9,-6).
The coordinates of points W are (-1,-12).
In this question,
[tex](x_{1},y_{1})= (-9,-6)[/tex]
[tex](x_{2},y_{2})= (-1,-12)[/tex]
Therefore, the value of [tex](x_{1},y_{1})= (-9,-6)[/tex] and the value of [tex](x_{2},y_{2})= (-1,-12)[/tex].
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please help me with this problem, i will give u brainliest. mLNM=…
Check the picture below.
b. Which of these products has the same value as 4(12)? Select all that apply.
A.
8(6)
B.
76
C.
316
D.
12(4)
E.
124
Answer:
A and D
Step-by-step explanation:
8(6) means 8x6 so that's 48
and 12(4) is the same as 4(12) so that should be simple enough
PLEASE HELP MEEE!!!!!!!!!
Each function operation should be matched with what it is equivalent to as follows:
f(x) + g(x) = -2x² + x + 6.
g(x) - f(x) = -2x² - 5x + 2.
f(x) · g(x) = -6x³ - 10x² + 8x + 8.
h(x) - f(x) = 3x² - 7x - 2
f(x) · h(x) = 9x³ - 6x² - 8x.
f(x) + g(x) + h(x) = x² - 3x + 6.
How to determine the solutions of the given function?In order to determine the solutions of the given function, we would have to evaluate each of the function based on the required mathematical operations as follows.
From the information provided, we have the following functions:
f(x) = 3x + 2
g(x) = -2x² - 2x + 4
h(x) = 3x² - 4x
f(x) + g(x) = 3x + 2 + (-2x² - 2x + 4)
f(x) + g(x) = 3x + 2 - 2x² - 2x + 4
Next, we would rearrange the function by collecting like terms as follows:
f(x) + g(x) = -2x² + (3x - 2x) + (2 + 4)
f(x) + g(x) = -2x² + x + 6 (solution).
g(x) - f(x) = -2x² - 2x + 4 - (3x + 2)
Opening the bracket, we have:
g(x) - f(x) = -2x² - 2x + 4 - 3x - 2
Next, we would rearrange the function by collecting like terms as follows:
g(x) - f(x) = -2x² + (-2x - 3x) + (4 - 2)
g(x) - f(x) = -2x² - 5x + 2 (solution).
f(x) · g(x) = (3x + 2) × (-2x² - 2x + 4)
Opening the bracket, we have:
f(x) · g(x) = -6x³ - 6x² + 12x - 4x² - 4x + 8
Next, we would rearrange the function by collecting like terms as follows:
f(x) · g(x) = -6x³ + (-6x² - 4x²) + (12x - 4x) + 8
f(x) · g(x) = -6x³ - 10x² + 8x + 8 (solution).
h(x) - f(x) = 3x² - 4x - (3x + 2)
h(x) - f(x) = 3x² - 4x - 3x - 2
h(x) - f(x) = 3x² - 7x - 2 (solution).
f(x) · h(x) = (3x + 2) × (3x² - 4x)
f(x) · h(x) = 9x³ - 12x² + 6x² - 8x
f(x) · h(x) = 9x³ - 6x² - 8x (solution).
f(x) + g(x) + h(x) = 3x + 2 + (-2x² - 2x + 4) + (3x² - 4x)
f(x) + g(x) + h(x) = -2x² + x + 6 + 3x² - 4x
f(x) + g(x) + h(x) = x² - 3x + 6 (solution).
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A small publishing company is planning to publish a new book. Let C be the total os of publishing the book(in dollars). Let N be the number of copies of the book produced. For the first printing, the company can produce up to 300 copies of the book. Suppose that c=20N+500 gives C as function of N during the first printing.
The set of vale is the same for both.
The cost of publishing the 300 copies of the book is $6500.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a small publishing company is planning to publish a new book. Let C be the total os of publishing the book(in dollars). Let N be the number of copies of the book produced. For the first printing, the company can produce up to 300 copies of the book. Suppose that c=20N+500 gives C as a function of N during the first printing.
The cost of 300 copies will be calculated as,
c=20N+500
c = ( 20 x 300 ) + 500
c = 6000 + 500
c = 6500
Therefore, the cost of publishing the 300 copies of the book is $6500.
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A corporation earned a profit of $2. 5 x 10 to the 4th power for 1 x 10 to the 3rd power days in a row. What was the corporation's total profit during this time period?
Answer in both scientific notation and standard form
The overall profit of the corporation as during time period is $ 2.5 x 10⁷
Define the term scientific notation?Scientific Notation (also known as Standard Form) is a process of presenting numbers in a concise manner. A number expressed in Scientific Notation is a number between 1 and less than 10, scaled by such a power of ten. Move this decimal point such that there one digit (that cannot be zero) before it.As the question expressed-
Earned profit - $2. 5 x 10 to the 4th power
In scientific notation - $2. 5 x 10⁴
Number of days - 1 x 10 to the 3rd power
In scientific notation - 1.0 x 10³
Total profit = Earned profit x Number of days
Total profit = $2. 5 x 10⁴ x 1.0 x 10³
Total profit = $ 2.5 x 10⁷
Thus, the overall profit of the corporation as during time period is $ 2.5 x 10⁷.
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Determine the distance between the points (−2, −3) and (2, 0). 2 units 4 units 5 units 10 units
The distance between two points on a 2D coordinate plane can be found using the following distance formula. d = √ (x 2 - x 1) 2 + (y 2 - y 1) 2. where (x 1, y 1) and (x 2, y 2) are the coordinates of the two points involved. The order of the points does not matter for the formula as long as the points chosen are consistent.
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Answer:
it is 5 units!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola from the vertex is f(x) = 7(x - 3)² + 5
How to determine the equation of the parabola?The equation of the function is given as
f(x) = 7x²
Also, we have
Vertex = (3, 5)
The form of the equation is given as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
This means that
Vertex = (h, k) = (3, 5)
Substitute (h, k) = (3, 5) in the equation f(x) = a(x - h)² + k
So, we have
f(x) = a(x - 3)² + 5
This also means that
f(x) = 7(x - 3)² + 5
The 7 is gotten from f(x) = 7x²
Hence, the equation of the parabola is f(x) = 7(x - 3)² + 5
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the table below gives the annual sales (in millions) of a product. year 1998 1999 2000 2001 2002 2003 2004 2005 2006 sales 273 327 369 399 417 423 417 399 369 what was the average rate of change of annual sales a) between 2001 and 2002 millions of dollars/year b) between 2001 and 2006 millions of dollars/year
Main answer:
a) 18 millions of dollars/year
b) 6 millions of dollars/year
Step-by-step explanation:
a) the average rate of change of annual sales between 2001 and 2002 millions of dollars/year
Average rate = (Final year - Initial year) / (Sales on Final year - Sales on Initial year)
= (417 - 399) / (2001 - 2002)
= 18 / 1
= 18 millions of dollars/year
b) the average rate of change of annual sales between 2001 and 2006 millions of dollars/year
Average rate = (Final year - Initial year) / (Sales on Final year - Sales on Initial year)
= (369 - 399) / (2006 - 2001)
= 30 / 5
= 6 millions of dollars/year
The average rate of change of annual sales between 2001 and 2002 is 18 millions of dollars/year , between 2001 and 2006 is 6 millions of dollars/year
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Colette is considering switching to a cell phone plan with unlimited texting. She currently
pays $38 per month for service, plus $0.20 per text. That adds up fast!
Write an equation that shows how the total monthly cost, y, depends on the number of texts,
X.
Do not include dollar signs in the equation.
y =
Answer:
y= 38 + 0.20x
The equation will be y=38+0.20x where x is the number of texts and y is in dollars.
What is equation?An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.
It is known that the fixed payment is of $38 and each text costs $0.20.
Assume Colette sends x texts in a month and y be the total cost.
Determine the monthly cost equation.
Total cost= Fixed cost+ x(cost of each text)
y=38+0.20x
So, the total monthly cost will be represented by the equation, y=38+0.20x.
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Evaluate -7(x - 4y) when x = -4 and y = -6.
A 140
B 52
C-28
D-140
Answer: D
Step-by-step explanation:
Take the equation and substitute the variables for the numbers given
-7(-4-4(-6))=-140
Hope this helps :)
How do you find the distance between the points shown? (C: 6, -4) and (D: 6, -8)
A. Subtract the distance between each point and the x-axis
B. Add the distance between each point and the x-axis
C. Subtract the distance between each point and the y-axis
D. Add the distance between each point and the y-axis
Answer:
A. Subtract the distance between each point and the x-axis.
Step-by-step explanation:
As the two points have the same x-coordinate, x = 6, it means they lie on the vertical line x = 6.
Therefore, the distance between the points can be found by subtracting the distance between each point and the x-axis.
In the given example, the points are C(6, -4) and D(6, -8).
To find the distance between a point and the x-axis, we simply take the absolute value of the y-coordinate of the point:
Distance between point C and the x-axis = |-4| = 4
Distance between point D and the x-axis = |-8| = 8
Subtracting the distances, we get:
Distance = 8 - 4
Distance = 4
Therefore, the distance between points C and D is 4 units.
the equation 32divided ? =8 she says the value of ? is 4 does ella answer make sense ?
Ella answer makes sense because the value of ? is 4
How to determine the value of ? in the equation make sense?
Given: the equation 32 divided ? =8 she says the value of ? is 4
32 / ? = 8
Let x represent ? in the equation, thus:
32 / x = 8 cross multiply
8x = 32
x = 32/8
x = 4
Since x = 4. This implies ? = 4
Also, the value that divides 32 to give is 4
Since the value of ? is 4. Therefore, Ella's answer makes sense
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5/3=?x1/3
help please ASAP
The value of x is 5 for the given equation 5/3 = x/3.
What do we mean by equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.So, the equation is:
5/3 = x/3Now, solve for x as follows:
5/3 = x/33x = 5 × 3 (Cros multiply)3x = 15x = 15/3x = 5Therefore, the value of x is 5 for the given equation 5/3 = x/3.
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Correct question:
Solve for x. 5/3= x/3
shopper needs 48 hot dogs. The store sells identical hot dogs in 2 differently sized packages. They sell a six-pack of hot dogs for $2.10, and an eight-pack of hot dogs for $3.12.
The pack of hot dogs that the shopper should buy that would be cheaper is six - pack of hot dogs
How to find the pack to be bought?If the shopper decided to buy the six-pack of hot dogs for $2.10, their total cost to be able to get 48 hot dogs would be:
= Cost per six pack of hot dogs x ( Number of hot dogs needed / Number of hot dogs in pack)
=2.10 x (48 / 6)
= 2.10 x 8
= $16.80
The cost if the shopper wants the eight pack is:
= 3.12 x (48 / 8)
= $18.72
The shopper should pick the six - pack of hot dogs because it is cheaper.
The rest of the question is:
Which option would be cheaper to the shopper?
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White shapes and black shapes are used in a game.
Some of the shapes are circles.
All the other shapes are squares.
The ratio of the number of white shapes to the number of black shapes is 7:3
The ratio of the number of white circles to the number of white squares is 2:7
The ratio of the number of black circles to the number of black squares is 1:2
Work out what fraction of all the shapes are circles.
Give your answer as a fraction in its simplest form.
(Hint: Fractions can be written in the form a/b. eg [tex]\frac{5}{28}[/tex] would be written as 5/28)
The fraction of all the circles in the shapes is 23/90
How to calculate the fraction of all the shapes are circles?Given that the:
Ratio of the number of white shapes to the number of black shapes is 7:3
Ratio of the number of white circles to the number of white squares is 2:7
Ratio of the number of black circles to the number of black squares is 1:2
Total share for both white and black shape = 7+3 = 10
share for white shape = 7/10 and share for black shape = 3/10
Total share for white circles and white squares = 2+7 = 9
share for white circles = 2/9 and share for white squares = 7/9
Total share for black circles and black squares = 1+2 =3
share for black circles = 1/3 and share for black squares = 2/3
White circles will take 2/9 of white colors i.e. 2/9 x 7/10 = 14/90 = 7/45
Black circles will take 1/3 of black colors i.e. 1/3 x 3/10 = 3/30 = 1/10
Fraction of circles = 7/45 + 1/10
= 14+9/ 90
= 23/90
Therefore, the fraction of all the shapes that are circles is 23/90
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Simplify the expression:
3(3+5g)
The value of the expression 3(3+5g) is 9 + 15g.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, we want to simplify 3(3 + 5g)
It's important to open the parentheses. This will be:
=3(3 + 5g)
= 9 + 15g
Therefore, the value is 9 + 15g.
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Which graph represents the system of equations –3x + y = 3 and –x + 2y = –4?
The graph represents the system of equations -3x + y = 3 and -x + 2y = -4 is option (b) On a coordinate plane, 2 lines intersect at (negative 2, negative 3).
The system of equation are
-3x + y = 3
-x + 2y = -4
Here we have to use the substitution method
-3x + y = 3
y = 3 + 3x
Substitute the value of y in the second equation
-x + 2(3 + 3x) = -4
-x + 6 + 6x = -4
-x + 6x = -4-6
5x = -10
x = -10/5
x = -2
Substitute the value of x in the first equation
-3x + y = 3
-3(-2) + y = 3
6 + y = 3
y = 3 - 6
y = -3
Hence, the graph represents the system of equations -3x + y = 3 and -x + 2y = -4 is option (b) On a coordinate plane, 2 lines intersect at (negative 2, negative 3).
The complete question is:
Which graph represents the system of equations –3x + y = 3 and –x + 2y = –4?
a) On a coordinate plane, 2 lines intersect at (3, 0).
b) On a coordinate plane, 2 lines intersect at (negative 2, negative 3).
c) On a coordinate plane, 2 lines intersect at (negative 1.5, 1).
d) On a coordinate plane, 2 lines intersect at (1.5, 2.5).
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Answer:
B
Step-by-step explanation:
both point intersect at ( -2, -3)
Can someone help me with this please?
The volume of the rectangular prism is the 75 ft cube.
How to find the volume of a prism?The prism below is a rectangular prism.
A rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are congruent.
The volume of a rectangular prism can be express as follows:
Volume of a rectangular prism = base area × height
Therefore,
base area of the prism = 25 ft²
height of the prism = 3 ft.
Hence,
Volume of the rectangular prism = 25 × 3
Volume of the rectangular prism = 75 ft³
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20 percent of all printers of a certain type are submitted for service under waranty. of these, 60 percent can be repaired and 40 percent must be replaced. if a company buys 10 such printers, what is the probability that exactly two will be replaced under warranty.
The probability that exactly two will be replaced under warrant is 0.1937.
Define probability.The possibility of an event occurring is determined by the probability formula. The ratio of positive outcomes to the total number of outcomes serves as the basis for calculating an event's probability. The probabilities are always between 0 and 1. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Given,
W = Warranty
V = Replaced
P(W) = 20/100
P(W) = 0.20
P(U/W) = 0.40
P(W ∩ U)
= P(U/W) × P(W)
= 0.40 × 0.20
0.-08
P( exactly two will be replaced under warranty)
Using binomial distribution:
= P(X = 2)
= 10/2 (0.0.8)² (0.9)⁸
= 0.1937
The probability that exactly two will be replaced under warrant is 0.1937.
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Demi starts a gardening project with 80 sunflower seeds. She plants 12 of the
seeds. Then she gives 5 seeds each to some friends. Which expression represents
the number of sunflower seeds Demi has left after she gives seeds to f friends?
f
5
C 80 12-5-f
A 80-12-
B 80-12-
D 80-12-5f
what is ( 7 5/6 - 5 1/3 ) +1 1/9?
Answer:
i don't know
Step-by-step explanation:
four vehicles are traversing a 1-km segment of a highway and the following observations are made: vehicle a: 1.2 min vehicle b: 1.5 min vehicle c: 1.7 min vehicle d: 1.4 min what is the space-mean speed?
Using the concept of average speed we conclude that the space-mean speed of the vehicles is 0.69 km/min.
What is space-mean speed?The average speed of a vehicle traveling a given segment of a highway in a specific time period is called space-mean speed, i.e.
Average mean speed = total distance traveled / average time travel
Given for vehicles are traversing a 1 km segment of highway. Hence total distance is 4km.
Average time = (1.2 + 1.5 + 1.7 + 1.4)/4
= 5.8/4
= 1.45 min
Now Average mean speed = 1/1.45
=0.689
=0.69 km/min
Hence the space-mean speed of the vehicles is 0.69 km/min
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Classify the following inequalities into the given categories. Drag each inequality into the appropriate category. Strict inequality Nonstick inequality
3x-2<1
3x-> 1
3x-2>1
3x-2<1
All the inequality given are all non strict inequalities
Inequality classification
3x - 2 < 1 non strict inequality
3x - > 1 non strict inequality
3x - 2 > 1 non strict inequality
3x - 2 < 1 non strict inequality
What is inequality ?Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.
The signs used in inequality are of 4 types namely
less thangreater thanless than or equal togreater than or equal toThe strict inequality are those inequality that the equation fails when equality sign is used to represent the relationship of the left and right hand side of an equation.. The inequality sign used here is only less than or greater than
The non strict inequality maintains the balance between both sides of the equation whether the equality is used or not
None of the given expression has the "less than or equal to" OR "greater than or equal to" signs hence they are all strict inequality
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suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime x (in weeks) has a gamma distribution with mean 24 weeks and standard deviation 12 weeks. (a) what is the probability that a transistor will last between 12 and 24 weeks? (b) what is the probability that a transistor will last at most 24 weeks? (c) is the median of the lifetime distribution less than 24? why or why not?
The probability that the transistor will last between 12 and 24 weeks is 0.424
the probability that a transistor will last at most 24 weeks is 0.567
The median of the lifetime distribution is less than 24
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
a) X~gamma([tex]\alpha , \beta[/tex])
E(X)= [tex]\alpha \beta[/tex] [tex]\beta[/tex] =[tex]12^{2}/24[/tex] =6 weeks
V(x)=[tex]\alpha \beta ^{2}[/tex] [tex]\alpha[/tex]=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X,[tex]\alpha[/tex] ,[tex]\beta[/tex] , False)
P([tex]12\leq X\leq 24[/tex])
P([tex]12/6 \leq X\leq 24/6[/tex])
P([tex]2\leq X\leq 4[/tex])
P= 0.424
Therefore, the probability that the transistor will last between 12 and 24 weeks is 0.424
b) For this case we want this probability:
[tex]P(X\geq 24)=1-P(X\leq 24)[/tex]
In order to find this probability we can use excel with the following code:
=1-GAMMA.DIST(24,4,6,TRUE)
And we got:
[tex]P(X\geq 24)=P(1-X\leq 24)= 0.567[/tex]
c) For this case the median of the lifetime distribution is less than 24
[tex]P(X\leq \alpha )[/tex] = 0.5 (by definition) So [tex]\alpha[/tex]< 24 because P([tex]X\leq 24[/tex])=0.567 which is greater than 0.5
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The total cost of a one-year membership at a gym is £141. This is made
up of a single £57 sign-up fee and equal-sized monthly payments for the
whole year.
How much is each monthly payment?
Give your answer in pounds.
Answer: 7£
Step-by-step explanation:
1. Firstly, we need to subtract the single sign up fee from the total cost. This would be 141-57 =84 pounds
2. We know that you pay a regular amount every month, so therefore we can divide 84 by 12 as there are 12 months in a year.
3. 84/12 = 7. Thus, the answer is 7 pounds a month.
Answer:
£7
Step-by-step explanation:
Given information:
£141 = Total cost of one-year gym membership.£57 = sign-up fee (included in the annual fee).To find the cost of the monthly payments, find the difference between the total cost and the sign-up fee, then divide the result by 12 (as there are 12 months in one year).
The difference between the total cost and the sign-up fee is:
[tex]\implies 141-57=84[/tex]
Therefore, the cost of each monthly payment is:
[tex]\implies \textsf{Monthly fee}=\dfrac{84}{12}=7[/tex]
Identify the y intercept of this line b
Answer: b= (0,4)
Step-by-step explanation:
The 'b' value in a line is the y-int. of a linear equation. That means you need to determine where the linear equation intersects with the y-axis. In this scenario it intersects at the point (0,4)
suppose a sample of thirty 25- to 34-year-olds showed a sample mean of 118.4 texts per day. assume a population standard deviation of 33.17 texts per day. compute the p-value. (round your answer to four decimal places.) p-value
The p-value of the distribution of population standard deviation of 33.17 texts per day is 0.9435
The test statistic's "p-value" measures how likely it is that future results will be at least as extreme as the one your sample yielded. You must understand that the null hypothesis is the underlying presumption to compute this probability.
The parameters are as follows:
The sample mean ([tex]\bar x[/tex]) = 118.4
The population standard deviation ([tex]\sigma[/tex]) = 33.17
The sample size (n) = 30
Calculate the z-score first.
[tex]z = \bold{ \frac{x - \bar x}{\frac{\sigma}{\sqrt{n} } } }[/tex]
according to the entire question, x = 128
So, we have:
[tex]z = \bold{ \frac{x - \bar x}{\frac{\sigma}{\sqrt{n} } } }\\\\z = \bold{ \frac{9.6}{\frac{33.17}{\sqrt{30} } } }\\\\z = \bold{ \frac{9.6}{\frac{33.17}{5.477 } } }\\\\z = \bold{ \frac{9.6}{ 6.056} }\\\\z = 1.5852[/tex]
As determined by the z table of probability, p = 0.9435395
or p = 0.9435 (approx.)
Consequently, the distribution's p-value is 0.9435.
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