The probability that the mean daily revenue for the next 30 days will exceed $7000 is 47.60%.
Define the term z score?The Z-score indicates the discrepancy between a given value and the standard deviation. The Z-score, also referred to as the median score, indicates how often standard deviations an actual data point deviates from the mean.The formula for the z score is-
z = (x - μ)/σ
In which,
z = standard scorex = observed value (= $7000)μ = mean ( = $7200)σ = standard deviation (=$1200)Put the value in formula
z = (7000 - 7200)/1200
z = - 0.16
Thus,
P(x > $7000) = P(z > - 0.16)
See the p- value for obtained z from negative z score table.
P(x > $7000) = 0.4760
Thus, the probability that the mean daily revenue for the next 30 days will exceed $7000 is 47.60%.
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3
The quadratic function is
f(x) = [tex]-3x^2[/tex] + 18x + 3
The general form of the quadratic function is
y = [tex]ax^2[/tex] + bx + c
If a < 0, the quadratic function has maximum value
Here the value of a = -3
Therefore the function has maximum value.
Maximum value will be at x = -b / 2a
= -18 / 2(-3)
= -18 / -6
= 3
The maximum value of quadratic function will be (4ac - [tex]b^2[/tex]) /4a
Substitute the value in the equation
(4ac - [tex]b^2[/tex]) /4a = (4×-3×3 - 18×18) / 4×-3
= (-36 - 324 / -12
= -360 / -12
= 30
Hence, the function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3
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Find the slope of a line crossing through the following points: (4, -3) and (10,-7). (Answer in a simplified fraction if necessary... Example: 4/5)
Bell Work
You Do
Camspite A is 5 miles north and 2 miles east of a ranger station.
Campsite B is 8 miles north and 6 miles east of the ranger station.
How far is Campsite A from Campsite B?
A 1 mi
B 5 mi
7 mi
25 mi
7 i do not feel like explaining tbh
Factor x^2-x-72 Please
Answer:
(x+8)(x-9)
Step-by-step explanation:
1. Use the sum-product pattern
x²-x-72
x²+8x-9x-72
2. Find the common factor from the 2 pairs
x²+8x-9x-72
x(x+8)-9(x+8)
3. Rewrite in factored form
x(x+8)-9(x+8)
(x-9)(x+8)
Solution to problem: (x-9)(x+8)
The area of a rectangle is 3/5 square meter. The width is 2/5 meter. a. What is the length of the rectangle? Write your answer as a fraction in simplest form. The length of the rectangle is _ meters. b. How many times greater is the length than the width? Write your answer in simplest form. The length is _ times greater than the width.
Answer:
a. 3/2 meters
b. 15/4 times as great
Step-by-step explanation:
You want the width of a rectangle that is 3/5 m² in area and 2/5 m long. You also want to know the factor by which the length is greater than the width.
a. WidthThe formula for the area of a rectangle is ...
A = LW
Filling in the known values, we can solve for the length:
3/5 m² = (2/5 m)·L
L = (3/5)/(2/5) m = 3/2 m . . . . . . divide by the coefficient of L
The length of the rectangle is 3/2 meters.
b. Aspect ratioThe ratio of length to width is ...
length/width = (3/2 m)/(2/5 m) = (15/10)/(4/10) = 15/4
The length is 15/4 times greater than the width.
Can yall help me on this?
x-intercept is (-250, 0) and y-intercept is (0, 100)
What is x-intercept and y-intercept
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations.
First, find x-intercept
For x-intercept it means y = 0
observe the graph and see the blue line cuts the x-axis when y = 0
We see, x = -250
so, the x-intercept is = (-250, 0)
Now, same thing do to find y-intercept
For y-intercept it means x = 0
observe the graph and see the blue line cuts the y-axis when x = 0
We see, y = 100
so, the y-intercept is = (0, 100)
Therefore, x-intercept is (-250, 0) and y-intercept is (0, 100).
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please show the work
Step-by-step explanation:
15t + 30 = 20t | -15t
30 = 5t
t = 30/5 = 6
20 + 5t = -6t + 86 | + 6t
20 + 11t = 86 | -20
11t = 66
t = 6
18t + 20 = 24t + 50 | -18t
20 = 6t + 50 | -50
-30 = 6t
t = -30/6 = -5
18t - 2 = 10t + 54 | -10t
8t - 2 = 54 | +2
8t = 56
t = 56/8 = 7
7t - 5 = 15t + 91 | -7t
-5 = 8t + 91 | -91
-96 = 8t
t = -96/8 = -12
Which comic section is formed in the image
Answer:hyper bola
Step-by-step explanation:
All you have to do is look up all the answers on images and then pick the one that looks the most similar
A-B =2
A+2= B
What is A and B
The given system of equations has no solution.
The given system of equations are A-B =2 and A+2= B.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here,
A-B =2 --------(I) and A+2= B --------(II)
From equation (II) substitute B=A+2 in the equation (I), we get
A-(A+2)=2
⇒ A-A-2=2
⇒ 0-2=2
Hence, the given system of equations has no solution.
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Please provide, with your answer, the steps taken.
The value of the given expression is 9/2 when substituting the values of m = -3, n = 2, and p = -1 in the expression.
The value of the given expression is 10/3 when substituting the values of x = 3, y = 2, and z = 4 in the expression.
Given that m = -3, n = 2, and p = -1
The expression is given in the question
⇒ m(p -n)²/ 3p +m
Substitute the values of m = -3, n = 2, and p = -1 in the expression
⇒ -3(-1 -2)²/( 3(-1) +(-3))
⇒ -3(-3)²/(-3-3)
⇒ -3(9)/(-6)
⇒ 27/6
⇒ 9/2
Given that x = 3, y = 2, and z = 4
The expression is given in the question
⇒ (3z + 2x + y)/(4y - 2x + z)
Substitute the values of x = 3, y = 2, and z = 4 in the expression
⇒ (3×4 + 2×3 + 2)/(4×2 - 2×3 + 4)
⇒ (12 + 6 + 2)/(8 - 6 + 4)
⇒ 20/6
⇒ 10/3
Thus, the value of the given expression is 10/3 when substituting the values of x = 3, y = 2, and z = 4 in the expression.
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A researcher studied the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside. Her data is expressed in the scatter plot and line of best fit below. What does the slope of the line represent?
Temperature (Degrees Fahrenheit)
Chirps Per Minute
How long the cricket continues to chirp.
The expected change in number of cricket chirps in one minute for each additional degree Fahrenheit.
The expected change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.
The expected temperature when the cricket chirps 1 time.
The slope of the line of best fit represents: the expected change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.
What is a line of best fit?A line of best fit simply refers to a statistical tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association between data points.
What is a slope?A slope is also referred to as the rate of change and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or data points.
In this scenario, the slope for the given data is the change in temperature with respect to a unit change in the number of chirps sold.
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help again for a friend
The required equation of slope is y = x/2 + 6
Given : y = 3x + 6
this is of the form y = mx + c
thus on comparing we get
the slope or m = 3
And the y intercept = 0, 6
It is also given that we have to find the equation of the slope which passes through the point ( -2, 5 )
thus the two points are:
( -2, 5 ) and ( 0,6 )
Thus the slope or m = y2 - y1/ x2 - x1
=> m = 6 - 5 / - ( -2 )
m = 1/ 2
Thus the equation of the slope is
y - y₁ = m ( x - x₁ )
₁Substituting the value of m from above we get
y - 5 = 1/2 ( x + 2 )
this implies 2y - 10 = x + 2
x - 2y = - 12
or we can also write this as
y = x/2 + 6
Refer to the graph given below for further understanding.
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Find the area of the square . Units required 18cm
Answer:
324 cm²
Step-by-step explanation:
area of a square = L x L = L²
L = 18cm
(18cm)² = 18cm x 18cm = 324 cm²
A car is moving north at 60km/h. The driver sees a sign beside the road ahead of him. What is the velocity of the sign relative to:
a) The car
b) The ground
*Please leave an explanation*
The velocity of the sign are given as follows:
a) Relative to the car: 60 kilometers an hour.
b) Relative to the ground: 0 kilometers an hour.
What is relative speed?The relative speed of one object towards another is given by the rate of change in the position of each these objects relative to each other in regard to time.
Relative to the car, the sign gets 60 kilometers closer every hour, hence the relative speed of the sign will be of 60 kilometers. an hour.
Now, for the ground, the distance between the sign and the ground will always be the same, that is, there is no change in the distance. Hence, the velocity of the sign relative to the ground is of 0 kilometers and hour.
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The length of the base of a triangle with
constant area varies inversely as the height.
When the base is 18 cm long, the height is 7
cm. Find the length of the base when the
height is 6 cm.
The length of the base when the height is 6 cm is 21 cm .
In the question ,
it is given that ,
the length of the base(b) of the triangle varies inversely with the height(h) ,
which is represented as
b ∝ 1/h
b = k/h
where k is the constant of variation
given that when b = 18 , h is = 7
18 = k/7
k = 18 × 7
k = 126
Substituting , the value of k = 126 in the equation b = k/h ,
we get ,
b = 126/h
So, the length of the Base When h = 6,
b = 126/6
b = 21
Therefore, the length of the base when the height is 6 cm is 21 cm .
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Estimate the measure of
Answer: 110°
Step-by-step explanation:
Looks like a bit more than 100°.
Solve this equation:
11x^2=-8
Answer:
See below
Step-by-step explanation:
11x^2 = - 8
x^2 = - 8/11
x = + - i sqrt (8/11) or - .727 i or .727 i
Ben bowled 151 and 183 in his first two games. What must he bowl in his third game to have an average of at least 1702
Answer:
1368
Step-by-step explanation:
let 3rd game be x
151+183+x=1702
334+x=1702
x=1702-334
x=1368
Find the values of x and y that satisfy the equation.
22 + 1/5yi = 2x - 2
Answer:
[tex]x=12, y=0[/tex]
Step-by-step explanation:
[tex]22+\frac{1}{5}yi=2x-2 \\ \\ (24-2x)+\frac{1}{5}yi[/tex]=0[/tex]
Setting the real and imaginary parts of the left hand side equal to 0,
[tex]24-2x=0 \implies x=12 \\ \\ \frac{1}{5}y=0 \implies y=0[/tex]
Factor completely, than place the factors in the proper location on the grid
Y^2x -y^x-20
Answer: Cannot be factored
Step-by-step explanation:
= Factor Y^2x -y^x-20
= Cannot be factored
2x + y = 17 slope liner expression
Answer:
Step-by-step explanation:
Answer:
I don't know if this what you want but...
Step-by-step explanation:
2x+y=17
2x= 17-y
x= 17-y
2
Factorise
(a) 4ab + 6abc + 8ac
(b) 9x2y + 6xy - 15xy²
(c) 10ab²-8ab + 2a²b
(d) 6xy - 7x²y + 3xy²
represent the following expressions as a power of the number a (a≠0) (a^-1xa^-2)^-3
The solution of the exponential expression will be a⁹.
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.
Given exponential expression is (a⁻¹ x a⁻²)⁻³. The expression will be solved as below,
E = (a⁻¹ x a⁻²)⁻³
The base is the same and the variables are in multiplication with powers then the powers will be added,
E = (a⁻³)⁻³
E = a⁹
Therefore, the solution of the exponential expression will be a⁹.
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which of the following is a polynomial?
Answer:
Option D
Step-by-step explanation:
This is because it contains the sum of the same variable to different powers.
PLEASE FIND X ALGEBRA 1
Answer:
x = 135
Step-by-step explanation:
You need to find the supplementary angle of x.
Find the angle to the left of 100°. Recognize that the vertical angle theorem can be used. It equals 35°Now, you can use the triangle sum theorem to find the needed supplementary angle. 100+35+z=180, where z is the supplementary angle. z = 45.To find x, use the supplementary angle theorem. (The angles "lie" on a straight line, so they add up to 180°, or a straight line.)
45+x = 180
x = 135
One gallon of paint usually covers about 350 square feet. How many square feet will 2.5 gallons cover? Show your work, including labeling your answer with the appropriate units of measure.
someone please help!!!
Answer:
875 square feet.
Step-by-step explanation:
Multiply 350 square feet by 2.5 gallons.
FInd the value of x in each case.
pls help i will give 100 points
Answer:
x=10
Step-by-step explanation:
4x+5x+angle g should equal 180 degrees total.
with this in mind, we can subtract angle g from 180, as it is know,. (180-90)
so 4x+5x=90. 9x=90, x=10.
hope this helps.
Check the picture below.
the average monthly rent for one-bedroom apartments in a particular city has been $770. because of a downturn in the real estate market, it is believed that there has been a decrease in the average rental. which is the correct hypotheses to be tested?
The set of values for Rents lesser than $700. So, rent 700 <y<0
Hypothesis.Though there is not so much information, but the fact that $700 is an average. We can work with two hypothesis at first, he first Hypothesis before the downturn the rent are over $700. And the second one, the bedroom rent are under $700.1) Graphically, the shaded area before the downturn, represents the set of values for Rents greater than $700. So, rent (y) > 7002) Graphically, the shaded area after the downturn, represents the set of values for Rents lesser than $700. So, rent 700 <y<0A hypothesis is an educated prediction regarding the solution to a scientific question that is supported by sound reasoning. It is the expected result of the experiment, however it is not proof in an experiment. Depending on the information received, it might be supported or might not be supported at all.learn more about hypothesis click here:
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What is the domain of y equals two divided by the quantity x minus three squared all minus one ?
All real numbers less than 3
All real numbers except 3
All real numbers greater than 1
All real numbers greater than 3
All real numbers
The domain of y equals two divided by the quantity x minus three squared all minus one [y = (2)/(x - 3)² - 1] is: all real numbers.
What is a domain?In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.
This ultimately implies that, a domain is the set of all possible input numerical values or numbers (x-values) to a function and the domain of a graph comprises all the input numerical values which are located on the x-coordinate.
Translating the word problem into an algebraic equation, we have;
y = (2)/(x - 3)² - 1
When x = 3, we have:
y = (2)/(3 - 3)² - 1
y = 2/-1 = -2
When x = 1, we have:
y = (2)/(1 - 3)² - 1
y = 2/3
In conclusion, the domain of this function is all real numbers.
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8. If a population doubles every 5 years, how many years will it take for the population to increase by 10 times
its original amount?
First: If the population gets multiplied by 2 every 5 years, what does it get multiplied by each year? Use this
to help you answer the question.
After ≈16.61 years the population will increased by times it's original amount.
What do you mean by population?
A population is the entire set of people in a group, whether that group is a country or a collection of people who share a certain trait. A population is the group of people from which a statistical sample is taken in statistics.
Given: If a population doubles every 5 years.
Assume, 'A' is the starting population, and 't' is the passing time in years.
Given the fact that a population doubles every five years, our population is growing exponentially, as per the question.
Here, the equation can be written as follows: [tex]A(t) = A(2)^{\frac{t}{5} }[/tex] (1)
We now need to determine when the population will have multiplied by 10 by that time.
Let's substitute [tex]A(t) = 10A[/tex] in the above equation.
[tex]10A = A(2)^{\frac{t}{5} }[/tex]
[tex]10 = (2)^{\frac{t}{5} }[/tex]
Taking the natural log of both sides we get:
[tex]ln10 = \frac{t}{5} \times ln2[/tex] {[tex]ln(a)^n= nln(a)[/tex]}
2.3025 x 5 = t x 0.6931
[tex]t = \frac{2.3025}{0.6931}\\t = 16.6096[/tex]
Therefore, After ≈16.61 years the population will increased by times it's original amount.
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