Answer:
There are two statements that may not be true:
B. If two lines intersect, both lines are in one plane.
F. There is exactly one line through any two points.
Statement B is not true because if two lines intersect at an angle, they are not in the same plane. This is known as skew lines.
Statement F is not true in non-Euclidean geometries, such as spherical or hyperbolic geometry. In these geometries, there can be multiple lines that pass through two points. However, in Euclidean geometry (which is what is typically taught in high school), there is exactly one line that passes through any two points.
Step-by-step explanation:
Answer: B. If two lines intersect, both lines are in one plane.
F. There is exactly one line through any two points
Step-by-step explanation:
The rest are true because I remember learning those in Geometry but B and F aren’t true because they just don’t make sense and aren’t true in general.
Polynomial functions can only have 2 terms.
False
True
Polynomial functions can only have 2 terms which is true.
Monomials are polynomials that contain only one term. Examples: 15x 2, 3b, and 12y 4 Binomials are polynomials that contain only two terms. Examples: x + y, 4x – 7, and 9x + 2
Therefore, Polynomial functions can only have 2 terms which is true.
Answer:
False
Step-by-step explanation:
Polynomial functions contain two or more terms.
Hope this helps
If all three dismensions a pyramid increase by a factor of two, by what factor does the volume of pyramid increase
If all three dimensions of a pyramid are multiplied by a factor of 2, the volume of the pyramid increases by a factor of 8, meaning the new volume is eight times the original volume.
If all three dimensions of a pyramid are multiplied by a factor of 2, the new pyramid will be twice as long, twice as wide, and twice as tall as the original pyramid. Therefore, the volume of the new pyramid will be 2 x 2 x 2 = 8 times the volume of the original pyramid.
In other words, if V1 is the volume of the original pyramid, and V2 is the volume of the new pyramid, we can write:
V2 = 8 x V1
So the volume of the pyramid increases by a factor of 8.
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Assume that when adults with smartphones are random y selected 53% use the in meeting the probability that fewer than 5 of them use their smartphones in meetings or classes. s or classes. If 11 adult smartphone users are randomly selected,
find The probability is
(Type an integer or decimal rounded to four decimal places as needed.)
The probability that fewer than five of the 11 randomly selected adult smartphone users will use their phones during meetings or classes is 0.6747
How do we calculate the probability?When adults with smartphones are randomly selected, 53% use them during meetings or classes. You need to find the probability that fewer than five of the 11 selected adults use their smartphones during meetings or classes. Here's how to calculate the probability that fewer than five of the 11 randomly selected adult smartphone users will use their phones during meetings or classes:
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
Where X represents the number of smartphone users in the selected group who use their phones in meetings or classes. Using the binomial probability formula, you can calculate each of these probabilities separately.
[tex]P(X = 0) = (11C0)(0.53)^0(1 - 0.53)^11 = 0.0026\\P(X = 1) = (11C1)( 0.53)^1(1 - 0.53)^10 = 0.0247\\P(X = 2) = (11C2)(0.53)^2(1 - 0.53)^9 = 0.1012\\P(X = 3) = (11C3)(0.53) ^3(1 - 0.53)^8 = 0.2346\\P(X = 4) = (11C4)(0.53)^4(1 - 0.53)^7 = 0.3116\\[/tex]
Therefore, the probability that fewer than five of the 11 randomly selected adult smartphone users will use their phones during meetings or classes is:
[tex]P(X < 5) = 0.0026 + 0.0247 + 0.1012 + 0.2346 + 0.3116 = 0.6747[/tex]
Therefore, the probability is 0.6747.
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A new shopping mall is gaining in popularity. Every day since it opened, the number of shoppers is 20% more than the number of shoppers the day before. The number of shoppers for the fourth day is 216.
How many shoppers were at the mall in total for the four days?
Answer:
234
Step-by-step explanation:
Please help asap! No matter how hard I try I don’t understand
This equation involves a cosine function shifted to the right by pi/2 units [tex]y = cos(x - \pi /2) - 1[/tex]
Explain about cosine function ?
The cosine function is a mathematical function that describes the relationship between the angles and the adjacent sides of a right triangle. It is defined as the ratio of the adjacent side of a right triangle to its hypotenuse.
In trigonometry, the cosine function is often represented as cos(θ), where θ is the angle of interest. The value of the cosine function for a given angle θ can range from -1 to 1, depending on the angle's position relative to the x-axis.
According to the question:
Based on the description you provided, it seems like option (c) is the correct answer:
[tex]y = cos(x - \pi /2) - 1[/tex]
This equation involves a cosine function shifted to the right by pi/2 units, which causes the wave to start below the x-axis. The additional -1 at the end of the equation causes the entire graph to be shifted downward by one unit.
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PLEASE I NEED HELP QUICK <3 Find the height of a cone with a diameter of 12 m whose volume is 340 m3. Use 3.14 for π and round your answer to the nearest meter.
The height of a cone with a diameter of 12 m whose volume is 340 m^3 is 9m
What is the cone of a height?The height of a cone is calculated using the formula:
h = 3V/πr 2
Where h = height of the cone
V = volume of the cone
r = Radius of the cone
But note that radius, r = diameter divided by 2
r = 12 ÷ 2 = 6m
Volume = 340 m^3
How to calculate the height of a cone?Substitute the values into the formula
h = 3 × 340 ÷ 3.14 × 6 × 6
h = 1020 ÷ 113.04
h = 9m
Therefore, the height of a cone with a diameter of 12 m whose volume is 340 m^3 is 9m
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Write the equation of a line perpendicular to y = 2x + 5 and passing through the point (8,2).
1. y = -1/2 x + 2
2. y = -1/2 x + 6
3. y = -1/2 x - 2
4. y = 1/2 x - 2
Considering the definition of perpendicular line, the correct answer is option 2.: the equation of a line perpendicular to y = 2x + 5 and passing through the point (8,2) is y= -1/2x +6.
Definiton of linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin.Definition of perpendicular linePerpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line in this caseThe line is y= 2x +5
where:
the slope is 2.the ordinate to the origin is 5.If you multiply the slopes of two perpendicular lines, you get –1. So:
2× slope perpendicular line= -1
slope perpendicular line= (-1)÷ 2
slope perpendicular line= -1/2
The line passes through the point (8, 2). Replacing in the expression for perpendicular line:
2= -1/2× 8 + b
2= (-4) + b
2 +4 = b
6= b
Finally, the equation of the perpendicular line is y= -1/2x +6.
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Kay has 16 small squares and 1 large square. Sketch all the possible rectangles that Kay could make. (Hint: There is more than one.) Write two expressions for the area of each rectangle: one in standard form and one in
factored form.
Answer: To sketch all the possible rectangles that Kay could make with 16 small squares and 1 large square, we can arrange them in different configurations. For example:
One possible rectangle could have a length of 8 small squares and a width of 2 small squares. The large square would be used to fill in the empty space at one end of the rectangle.
8 small squares
8 small squares
1 large square
The area of this rectangle is (8)(2) + 1 = 17. We can write this in standard form as 17 and in factored form as 17 = 17(1).
Another possible rectangle could have a length of 4 small squares and a width of 4 small squares. The large square would be used to fill in the empty space at one end of the rectangle.
4 small squares 4 small squares
4 small squares 4 small squares
1 large square
The area of this rectangle is (4)(4) + 1 = 17. We can write this in standard form as 17 and in factored form as 17 = 1(17).
A third possible rectangle could have a length of 8 small squares and a width of 1 small square. The large square would be used to fill in the empty space at one end of the rectangle.
8 small squares
1 large square
The area of this rectangle is (8)(1) + 1 = 9. We can write this in standard form as 9 and in factored form as 9 = 9(1).
A fourth possible rectangle could have a length of 4 small squares and a width of 2 small squares. The large square would be used to fill in the empty space at one end of the rectangle.
4 small squares 2 small squares
4 small squares 2 small squares
1 large square
The area of this rectangle is (4)(2) + 1 = 9. We can write this in standard form as 9 and in factored form as 9 = 3(3).
So, there are four possible rectangles that Kay could make with 16 small squares and 1 large square, and the area of each rectangle can be expressed in both standard form and factored form as shown above.
Step-by-step explanation:
Help please!!!! Middle school work
Jake interpreted the mean as the mode. Half the cats weighed less than pounds and half weighed more.
What is mean and mode?
In statistics, mean and mode are two common measures of central tendency used to describe a set of data:
Mean: The mean, also known as the average, is calculated by adding up all the values in a data set and dividing the sum by the total number of values. It is a measure of the central location of the data, and it gives us an idea of the typical value of the data set. For example, the mean weight of a group of cats can tell us the typical weight of a cat in that group.
Mode: The mode is the value that appears most frequently in a data set. It is a measure of the most common value or values in the data, and it is useful for describing the shape of the distribution of the data. For example, the mode of the weights of a group of cats can tell us the most common weight among the cats in that group. It is possible for a data set to have more than one mode (bimodal or multimodal).
Jake's error is that he interpreted the mean as the mode, which is the most frequent value in a data set. The mean, however, is the average value of a data set and is calculated by adding all the values and dividing by the total number of values. Therefore, his interpretation that half the cats weighed less than the mean and half weighed more is incorrect. In reality, the mean only tells us the average weight of all the cats in the data set, but it does not indicate anything about the distribution of weights.
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What is the diameter of the circle
Answer:
Step-by-step explanation:
Equation of circle: [tex](x-a)^2+(y-b)^2=r^2[/tex] where (a,b) is center and r is radius.
This is a circle with center [tex](\frac{5}{2} ,4)[/tex] and radius [tex]\sqrt{60}[/tex].
Diameter [tex]=2 \times radius=2\sqrt{60} =4\sqrt{15}[/tex]
carla wants to start a college fund for her daughter lila. she puts $63,000 into an account that grows at a rate of 2.55% per year, compounded monthly. write a function, c(t), that represents the amount of money in the account t years after the account is opened, given that no more money is deposited into or withdrawn from the account.
The function that represents the amount of money in the account t years after it is opened is c(t) = $63,000 × (1 + 0.0255/12)^(12t)
To calculate the amount of money in the account after a certain number of years, we can use the formula for compound interest
A = P × (1 + r/n)^(nt)
where
A = the amount of money in the account after t years
P = the initial investment (in this case, $63,000)
r = the annual interest rate (2.55%)
n = the number of times the interest is compounded per year (12, since it is compounded monthly)
t = the number of years
Substituting the values given
c(t) = $63,000 × (1 + 0.0255/12)^(12t)
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A ring-shaped region is shown below.
Its inner diameter is 36 ft, and its outer diameter is 44 ft.
36 ft
44 ft
Find the area of the shaded region.
Use 3.14 for it. Do not round your answer.
The area of the shaded region of the ring is approximately 1600.36 square feet.
What is diameter and radius?A circle's size may be determined using both its radius and diameter. The circumference of a circle, measured from centre to centre, is its diameter. The radius is the separation between any point on a circle's perimeter and its centre. In other words, the diameter is equal to the radius's length times two. This connection may be mathematically expressed as d = 2r, where d is the diameter and r is the radius. While the radius is frequently employed in computations involving circles, such as determining the area or circumference, the diameter is frequently used to describe the size of a circle.
The area of the circle is given by the formula:
A = πr²
For the inner circle we have:
radius = 36/2 = 18
A = π(18)²
For the outer circle we have:
radius = 44/2 = 22 ft.
A = π(22)²
Now, the area of the shaded portion is:
A = π(22)² - π(18)²
A = π(484) - π(324)
Substituting 3.14 for π we have:
A = 1600.36 square feet
Hence, the area of the shaded region is approximately 1600.36 square feet.
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The complete question is:
Jia is thinking of a number she gives three clues about the number the number is even, it's less then - 12 and the absolute value of the number is between 9 and 15 ,whats jia number, explain how you know
The number is -14 because it is even and less than -12. The absolute value of -14 is between 9 and 15. These conditions fulfill all the given clues.
Jia has given three clues about the number she's thinking of. The first clue is that the number is even, which means it is a multiple of 2. The second clue is that the number is less than -12. This means that the number is a negative number and it lies between -12 and -9 (because the absolute value of a number between -12 and -9 is between 9 and 12). The third clue is that the absolute value of the number is between 9 and 15. This condition is only satisfied by the number -14, which is even, negative, and has an absolute value between 9 and 15. Therefore, the answer is -14.
Based on the given clues, the number Jia is thinking of must be an even number that is less than -12 and whose absolute value is between 9 and 15. The only number that meets all three criteria is -14, which is an even number, less than -12, and has an absolute value of 14, which falls between 9 and 15. Therefore, we can conclude that Jia's number is -14.
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need help will pick brainliest
Answer:
C.
Step-by-step explanation:
FOIL
3x*2x^2=6x^3
3x*-7x=-21x^2
3x*1=3x
-6*2x^2=-12x^2
-6*-7x=42x
-6*1=-6
Combine like terms
6x^3 -21x^2 +3x -12x^2 +42x -6
3x+42x=45x
-21x^2-12x^2=-33x^2
So the answer=6x^3 -33x^2 +45x -6
C.
Have a good day :-)
clayton and iris purchase admission to a carnival plus a number of game tickets. Clayton purchases 10 game tickets and spends $19.50. Iris purchases 15 game tickets and spends $23.25. Determine the cost per game ticket.
The cost per game ticket is 0.75. The solution has been obtained by using the linear equations.
What is a linear equation?
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. Several variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables.
We are given that Clayton and Iris purchase admission to a carnival plus a number of game tickets.
Let the admission cost be 'x' and cost per game ticket be 'y'.
Since, Clayton purchases 10 game tickets and spends $19.50 so, we get an equation in two variables as:
x + 10y = 19.50
Similarly, Iris purchases 15 game tickets and spends $23.25 so, we get first order equation as:
x + 15y = 23.25
Now, on subtracting the first equation from the second, we get
⇒ 5y = 3.75
⇒ y = 0.75
Hence, the cost per game ticket is 0.75.
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Calculator
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
The measure of angle B is in the given cyclic quadrilateral is 140 ⁰.
What is the measure of angle B?
The measure of angle B is calculated by applying the principle of circle geometry for cyclic quadrilateral.
From the given figure, we will have the following equation;
angle D + angle B = 180 (opposite angles of a cyclic quadrilateral are supplementary)
x + ( 4x - 20 ) = 180
5x - 20 = 180
5x = 200
x = 200/5
x = 40
The measure of angle B is calculated as;
∠B = 4x - 20
∠B = 4 (40) - 20
∠B = 160 - 20
∠B = 140 ⁰
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I’m stuck help please
Answer: .54 4 points away from 0.5, 0.62 2 points away from 0.6
Step-by-step explanation: nice prodigy
if 2400 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
The largest possible volume of the box is 480 cm³.
Given that 2400 square centimeters of material is available to make a box with a square base and an open top.
To find the largest possible volume of the box, we need to maximize the volume. We can express the volume of the box in terms of its side length.
Let's say the side length of the square base is x cm. The area of the square base will be x² square cm. Since the box has no top, we can say that its height is also x cm. So, the volume of the box can be expressed as,
V(x) = x² × x = x³ cubic cm
We know that 2400 square cm of material is available to make the box. The material is used to create the sides of the box. The box has 5 sides - four walls and a base. The area of the four walls will be the same. So, the total area of the four walls can be expressed as, 4xh = 4x², where h is the height of the box.
Subtracting this area from the total available material, we get the area of the base, which is equal to the area of the remaining material, 2400 - 4x² = x²
Simplifying, 5x² = 2400x² = 480
Volume of the box, V(x) = x³cubic cm
Substituting x = 12 in the expression for V(x), we get the maximum volume of the box, 480 cm³. Therefore, there is a maximum volume of 480 cm³ for the box.
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Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly. Show work.
Answer:
1/110
Step-by-step explanation:
Probability of selecting a rose is 3/12, probability of selecting a tulip is 4/11, and probability of selecting a carnation is 1/10.
[tex]\frac{3}{12} *\frac{4}{11} *\frac{1}{10} \\=\frac{1}{110}[/tex]
a man travels at a distance of 280km in 4 hours,find his average speed in km/h
Answer: 70km
Step-by-step explanation: 280/4=70
Let's have a couple of examples:
You're going to drive at an average of 70km/h for 4 hours. Distance is speed multiplied by time, so: 70km/h * 4 hours = 280km.
You are going to run for 80km in 6 hours 80/6=13.33. You will run 13.33 km an hour 13.33x6= 80km
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Triangle ABC and triangle DEF shown below are similar.
What is the value of x?
OA. 12 cm
OB. 75 cm
O C. 15 cm
OD. 10 cm
B
6 cm
C
3 cm
A
E
30 cm
X
Answer:
Step-by-step explanation:
b
BRAINLIST! I NEED IT QUICKLY
HELP ME PLS. SHOW ALL STEPS!
Step-by-step explanation:
BRO I USE TO DO THIS IN 7TH GRADE I GOT YOU.
PLEASE HELP NEED ANSWER FAST
Step-by-step explanation:
'x + 5' under the sqrt sign cannot be less than zero
so x values (domain) must be greater than or equal to -5 to + inf
the resulting y values (range) will go from 0 to + inf
D [-5, +∞)
R [0, +∞)
balancing work and school: is there a correlation between how many hours per week a student works outside of school and how many units the student takes in a quarter? a cluster sample of 482 students is chosen.
Yes, there is a correlation between the number of hours per week a student works outside of school and how many units the student takes in a quarter.
The cluster sample of 482 students is chosen in order to examine the relationship between these two variables. The statistical relationship between two variables is known as correlation.
The correlation coefficient r is used to determine the degree and direction of the correlation between two variables. The correlation coefficient is a numerical value that ranges from -1 to +1.
A negative correlation exists when one variable decreases as the other variable increases. A positive correlation exists when both variables increase or decrease together.
In this case, if the number of hours per week a student works outside of school increases, the number of units the student takes in a quarter may decrease, indicating a negative correlation between the two variables. Similarly, if the number of hours per week a student works outside of school decreases, the number of units the student takes in a quarter may increase, indicating a positive correlation between the two variables.
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the sales tax rate is 6% in warren county. the sales tax rate is 7% in allegheny county. my math teacher bought a book for $ 24.99. the receipt shows the sales tax on the book was $ 1.75. was the book bought in allegheny county or warren county?
The sales tax rate is 7% in Allegheny County. The sales tax rate in Warren County is 6%. And the book was bought in Allegheny County.
A math teacher bought a book for $ 24.99, and the sales tax on the book was $ 1.75. The teacher was able to determine whether the book was purchased in Allegheny County or Warren County by figuring out the sales tax rate. Because the total sales tax on the book was $1.75, which is equivalent to 7% of the purchase price of $24.99, the book was purchased in Allegheny County.
Sales tax rate = Total sales tax / Purchase price
Using the above formula,
Total sales tax = Sales tax rate * Purchase price
Let's calculate the sales tax using the above formula;
For Warren County, Sales tax rate = 6% = 0.06
Total sales tax = Sales tax rate * Purchase price= 0.06 * 24.99= $1.4994 ≈ $1.50
For Allegheny County,Sales tax rate = 7% = 0.07
Total sales tax = Sales tax rate * Purchase price= 0.07 * 24.99= $1.7493 ≈ $1.75
As we can see, the total sales tax on the book was $1.75, which corresponds to the sales tax rate of 7%. Therefore, the book was bought in Allegheny County.
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there are 12 coins, such that 6 are real, weighing 10 grams each, and 6 are fake, weighing 9 grams each. you have a scale that shows the exact weight of the coins on it. how to find two coins of different weights in two weighings?
There are 12 coins, such that 6 are real, weighing 10 grams each, and 6 are fake, weighing 9 grams each. you have a scale that shows the exact weight of the coins on it. one of the two coins that were left out is heavier and the other is lighter.
Take 4 coins out of the pile and put them on one side of the balance scale. Take another 4 coins out of the pile and put them on the other side of the balance scale.
If both sides of the scale are equal, you know the remaining 4 coins contain the two coins of different weights you are looking for. In that case, take two coins out of the remaining 4 and weigh them on the balance scale. If they balance each other, the other two coins must be the ones of different weight. On the other hand, if the two coins on the balance scale don’t balance, you can be certain that one is real and the other is fake. In that case, you have already found the two coins you were looking for.
If the balance scale does not balance in the first weighing, you will know that the two coins of different weights must be contained in the group of 4 that is heavier or the group of 4 that is lighter. Remove two coins from the heavier pile, and place them on one side of the scale, and keep the other two on the other side. If the balance scale is still unbalanced, it means that the coin that is heavier is one of the two coins on the heavier side of the scale, and the coin that is lighter is one of the two coins on the lighter side. If the balance scale is now balanced, it means that one of the two coins that were left out is heavier and the other is lighter.
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Divide.
(8zy²-28z¹y5+12z³y7)÷(4z¹y³)
Simplify your answer as much as possible.
Answer: When dividing a polynomial by a monomial, we can simply divide each term in the polynomial by the monomial.
So, dividing (8zy² - 28z¹y5 + 12z³y7) by (4z¹y³) gives:
(8zy²)/(4z¹y³) - (28z¹y5)/(4z¹y³) + (12z³y7)/(4z¹y³)
Simplifying each term by canceling out any common factors gives:
2y^(-1)z^(1-1) - 7y^(5-3)z^(1-1) + 3y^(7-3)z^(3-1)
which simplifies to:
2yz^0 - 7y^2z + 3y^4z^2
Therefore, (8zy² - 28z¹y5 + 12z³y7) ÷ (4z¹y³) = 2yz^0 - 7y^2z + 3y^4z^2.
Step-by-step explanation:
the operator of a pumping station has observed that demand for water during early after- noon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). a. find the probability that the demand will exceed 200 cfs during the early after- noon on a randomly selected day. b. what water-pumping capacity should the station maintain during early after- noons so that the probability that demand will exceed capacity on a randomly selected day is only .01?
a) The probability that the demand will exceed 200 cfs during the early after- noon on a randomly selected day is 0.1353.
b) The water-pumping capacity that the station should maintain during early afternoons is 460.52 cfs, so that the probability that demand will exceed capacity on a randomly selected day is only 0.01.
a) The given probability distribution of the demand for water during the early afternoon hours is given as exponentially distributed with a mean of 100 cfs. Therefore, the random variable X, representing the demand for water during early afternoon hours, follows exponential distribution with parameter λ = 1/100. We are required to find the probability that the demand will exceed 200 cfs during the early afternoon on a randomly selected day. By definition of probability density function of exponential distribution, the probability that the demand for water during early afternoon hours will exceed 200 cfs on a randomly selected day is:
P(X > 200) = e-2 ≈ 0.1353
b) Given that the probability that demand will exceed capacity on a randomly selected day is only 0.01, we can write this in terms of the probability density function of exponential distribution as:
P(X > c) ≤ 0.01, where c is the water-pumping capacity that the station should maintain during early afternoons.
If X ~ Exponential distribution with parameter λ, the probability density function is given by:
f(x) = λ e-λx; x > 0
For the probability P(X > c) ≤ 0.01, we have:
P(X > c) = e-λc ≤ 0.01 (probability distribution function of exponential distribution)
⇒ e-λc = 0.01
⇒ λc = ln(100) = 4.6052
⇒ c = 4.6052 * 100 = 460.52 cfs
Therefore, the station should maintain a pumping capacity of 460.52 cfs.
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Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the following function. y= -3x^2^ -12x-3
Answer:
[tex]y = - 3x {}^{ - 12x - 1} [/tex]
Step-by-step explanation:
Hope that's help your answer
in the number 2,107,954 the number 2 is in which place value