The value of c is 1/17.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2
We have to find the value of c
Since f(x) represents the probability distribution x = 0, 1 ,2
So we have f(0)+f(1)+f(2)=1
c(0²+4)+c(1²+4)+c(2²+4)=1
4c+5c+8c=1
17c=1
Divide both sides by 17
c=1/17
Hence, the value of c is 1/17.
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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?
a.
1/3
b.
1/17
c.
1/2
d.
1/13
What is (f- g)(x)?
f(x)=x^4-x² +9
g(x) = x³ + 3x² + 12
Enter your answer in standard form in the box.
(f-g)(x)
A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.
Step-by-step explanation:
f(x)= x¹ - x² +9
g(x) = x³ + 3x² + 12
To find (f-g)(x):
The operations on functions are as easy as the operations on numbers or polynomials.
We have to subtract the functions to find the above mentioned operation.
(f-g) (x)= f(x)-g(x)
= (x¹ - x² +9)-(x³ + 3x² + 12)
The minus will change the signs of function g.
Use a definition, postulate, or theorem to find the value of x in the figure described.
Point E is between points D and F. IfDE=x-1, EF = 4x + 5, and DF = 6x - 5, find x.
The solution is x =?
Thus, the value of x in the figure is 9.
What's collinear?Collinear refers to a term used in figure to describe a set of three or further points that lie on the same straight line. In other words, if you can draw a straight line that passes through two or further points, those points are said to be collinear.
We can use the member addition hypothetical to break for x. According to the member addition hypothetical, if three points A, B, and C are collinear, also AB BC = AC.
In this case, points D, E, and F are collinear, so we can write
DE EF = DF
Substituting the given values, we get
x- 1 4x 5 = 6x- 5
Simplifying the equation, we get
x 4 = 6x- 5
Abating 5x from both sides, we get
= x- 5
Adding 5 to both sides, we get
x = 9
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Find the measure of angle 1 state, the value only do not use units did not right angle one equals
Find the measurement of angle to state the value only do not use units do not right angle two equals in your response
The required angle 1 between the side and diagonal of a square is approximately 45 degrees.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
Let's assume that the length of one side of the square is 'a'.
Then the length of the diagonal of the square is given by the Pythagorean theorem:
d² = a² + a² = 2a²
d = a * √(2)
To find the angle between the side and the diagonal, we can use the cosine function:
cos(Ф) = adjacent/hypotenuse = a / (a * √(2))
cos(Ф) = 1 / √(2)
Ф= cos⁻¹(1/√(2))
Ф≈ 45°
Therefore, the angle between the side and diagonal of a square is approximately 45 degrees.
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Someone please help me with this qiesrion pls
The true statement on the height of the ball when thrown from a building, given the equation, can be found to be A. The ball reaches the ground in 3 seconds.
How to find the height ?The equation given of the ball being thrown from a building, gives us the height when solved.
The height of the ball when it reaches the ground is 0 feet so we can insert this in the formula to find the time:
0 = - 5 ( t - 3 ) ( t + 5 )
We can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. So, we can set each factor equal to zero and solve for t:
t - 3 = 0 or t + 5 = 0
Solving for t in the first equation, we get:
t - 3 = 0
t = 3
Seeing as t is 3 seconds the first option is correct.
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The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week?
your answer should be a decimal rounded to the fourth decimal place
The probability that a randomly selected teacher earns more than $525 a week is 0.1820. Therefore, the probability that a randomly selected teacher earns more than $525 a week is 0.2177.
This is calculated by using the standard normal distribution formula:
P(x > 525) = 1 - P(x ≤ 525) = 1 - 0.8413 = 0.1820
The probability that a randomly selected teacher earns more than $525 a week can be found by calculating the z-score for $525 and then using the standard normal table to find the probability.
The z-score is calculated as follows:
z = (x - μ)/σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the values from the question, we get:
z = (525 - 490)/45 = 0.78
Now, we can use the standard normal table to find the probability that a randomly selected teacher earns more than $525 a week. The table gives us the probability that a value is less than a given z-score, so we need to subtract the probability from 1 to find the probability that a value is greater than the z-score.
The probability that a value is less than 0.78 is 0.7823. So, the probability that a value is greater than 0.78 is 1 - 0.7823 = 0.2177.
Therefore, the probability that a randomly selected teacher earns more than $525 a week is 0.2177.
Answer: 0.2177
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What’s the answer???
The possible measure of the side AB is 9.09 cm.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, The sum of all the interior angles in a triangle is 180°.
So, The measure of angle 'f' = 180° - (72 + 59)°.
f = 49°.
We also know the cosine rule for a triangle ABC is, cosA = (b² + c² - a²)/2bc.
cos49° = (49 + 144 - m²)/168.
110.22 = 193 - m².
m² = 82.78.
m = 9.09.
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The following functions all have domain {1,2,3,4,5} and codomain 1,2,3. For each, determine whether it is jective, bijective, 3. (only) injective, (only) sur neither injective nor surjective. (a) f - {1 2 3 4 5}
{1 2 1 2 1} (b) f - {1 2 3 4 5}
{1 2 3 1 2}
(c) f(x) = { x if x < 3 x -3 if x > 3
The set of values that we are permitted to enter into our function is referred to as the domain of a function. The x values for a function f make up this collection (x). A function's range is the range of values that it can accept as input. When we enter an x value, the function outputs this set of outcomes.
(a) f - {1 2 3 4 5} -> {1 2 1 2 1}
This function is neither injective nor surjective. It is not injective because f(1) = f(3) = f(5) = 1, and it is not surjective because 2 is not in the range.
(b) f - {1 2 3 4 5} -> {1 2 3 1 2}
This function is neither injective nor surjective. It is not injective because f(1) = f(4) and it is not surjective because 3 is not in the range.
(c) f(x) = { x if x < 3, x - 3 if x > 3}
This function is both injective and surjective, and hence bijective. It is injective because each element in the domain maps to a unique element in the codomain, and it is surjective because every element in the codomain is mapped to by at least one element in the domain. Hence, this function is bijective.
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Tο summarize, here are the classificatiοns fοr each functiοn:
(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.
(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.
(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.
What is a functiοn?In mathematics, a functiοn definitiοn is a statement that defines a relatiοnship between input values (called the dοmain) and οutput values (called the cοdοmain οr range). A functiοn takes an input value and prοduces a unique οutput value based οn a certain rule οr algοrithm.
(a) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.
(b) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο the οutput 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.
(c) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 3 and 4 are mapped tο the οutput 0, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 1 is never used.
Hence,
Tο summarize, here are the classificatiοns fοr each functiοn:
(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.
(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.
(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.
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A fishing supply store buys fishing rods for $11 and sells them at a markup of 220%. One day, they decide to put the rods on sale and mark them down by 20%.
What is the sale price of a fishing rod?
the sale price of a fishing rod is $28.16.
How to do?
The markup of 220% means the store sells the rods for 100% + 220% = 320% of the cost price.
So, the selling price of one fishing rod before the discount is:
320% of $11 = (320/100) x $11 = $35.20
Now, the rods are marked down by 20%, which means the selling price is reduced by 20% of $35.20:
20% of $35.20 = (20/100) x $35.20 = $7.04
Therefore, the sale price of one fishing rod after the 20% discount is:
$35.20 - $7.04 = $28.16
So, the sale price of a fishing rod is $28.16.
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can someone explain, answer, and give formulas for all the numbered points as well as the letters above? 100 POINTS
The correctly matched pairs are mentioned below.
What is algebraic expression?An algebraic expression is a combination of terms both constants and variables. For example -
2x + 3y + z
3x + y
Given is to match the correct pairs given below.
{ 1 } -
47, 41, 35, 29, 23 → a{n} = a{1} + (n- 1)d
{ 2 } -
7, -21, 63, -189, 567 → a{n} = a{1}rⁿ⁻¹
{ 3 } -
[tex]$A = P(1 + 0.025/12)^{12t}[/tex] → A = [tex]$P(1 + r/n)^{nt}[/tex]
{ 4 } -
An 18 - month invest on $10 at 5%. → A = P[tex]$e^{rt}[/tex]
{ 5 } -
Investments and loans -
Simple interest : I = PrtCompound interest : A = P[tex]$e^{rt}[/tex]Continuous Compound interest : A = [tex]$P(1 + r/n)^{nt}[/tex]Therefore, the correctly matched pairs are mentioned above.
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i need the answer urgent
The individual events are overlapping. The probability of the combined event is 11/26.
What is the probability of the combined eventThe individual events are overlapping because there are face cards that are also spades (i.e., the Jack, Queen, and King of Spades). To find the probability of the combined event, we need to add the probability of drawing a face card and the probability of drawing a spade, and then subtract the probability of drawing the Jack, Queen, or King of Spades (since we would be double-counting these cards otherwise).
The probability of drawing a face card is 12/52, since there are 12 face cards in the deck (4 Jacks, 4 Queens, and 4 Kings) out of a total of 52 cards.
The probability of drawing a spade is 13/52, since there are 13 spades in the deck (including the Jack, Queen, and King of Spades) out of a total of 52 cards.
The probability of drawing the Jack, Queen, or King of Spades is 3/52, since there are 3 such cards in the deck out of a total of 52 cards.
Therefore, the probability of the combined event is:
P(face card or spade) = P(face card) + P(spade) - P(Jack, Queen, or King of Spades)
P(face card or spade) = 12/52 + 13/52 - 3/52
P(face card or spade) = 22/52
P(face card or spade) = 11/26
So the probability of the combined event is 11/26 or approximately 0.42 when rounded to two decimal places.
This shows the individual events are overlapping and the probability is 11/26
The individual events are overlapping. The probability of the combined event is 11/26.
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What is the meaning or the impact if the regression data residual is not normally distributed
The meaning or impact of the regression data residual not being normally distributed is that the assumptions of the regression model are not met. This can result in biased or misleading estimates of the regression coefficients and the overall fit of the model.
When the residuals are not normally distributed, it can indicate that there are other factors influencing the relationship between the independent and dependent variables that are not accounted for in the model. This can lead to incorrect predictions and unreliable conclusions about the relationship between the variables.
To address this issue, it may be necessary to transform the data or use a different type of regression model that does not assume normality of the residuals. It is also important to check for outliers and influential points, as these can also affect the distribution of the residuals.
In conclusion, the normality of the residuals is an important assumption of the regression model, and if it is not met, it can have a significant impact on the reliability and validity of the results.
Find the diameter
Find the circumference
Find the Area
Please solve
Answer:
Diameter: 17
Circumference: 53.58
Area: 226.865
Step-by-step explanation:
How to solve for diameter of a circle:
Find the radius.Multiply the radius by 2.(The radius is half of the diameter.)
How to solve for a circumference of a circle:
Find radius.Use correct formula: [tex]2[/tex]·[tex]\pi[/tex]·[tex]r[/tex]Solve.How to solve for the area of a circle:
Use correct formula: [tex]\pi r^2[/tex]Plug in radius. Solve.Hope it helped!
6x+3y=15 Substitution method
y=1-x
Substitute the value of y in the first equation with the second equation.
6x + 3(1-x) = 15
Simplify and solve for x:
6x + 3 - 3x = 15
3x + 3 = 15
3x = 12
x = 4
Now, substitute the value of x in the second equation to solve for y:
y = 1 - x
y = 1 - 4
y = -3
Therefore, the solution to the system of equations is (4, -3).
write a recursive function named star string that accepts an integer parameter n and returns a string of stars (asterisks) 2n long (i.e., 2 to the nth power). in python
The following Python function, star string(), receives the integer n as an input and outputs a string of stars (asterisks) that is 2n characters long:
What is a Recursive Python Function?
A recursive function is one that uses self-referential language to define itself. This indicates that the function will continue to call itself and perform its activity until a condition is met and a result is returned.
Here's a possible implementation of the recursive function "star_string" in Python:
def star_string(n):
if n == 0:
return "*" # base case
else:
return star_string(n-1) + star_string(n-1)
The function takes an integer parameter "n", which represents the exponent of 2 in the length of the resulting string (i.e., 2 to the nth power). The base case occurs when n equals 0, in which case the function returns a single asterisk ("*"). Otherwise, the function recursively calls itself with n-1 as the argument, and concatenates the results of those two calls to produce a string that is twice as long.
Here's an example of how to call the function and print the result:
n = 3 # for example
result = star_string(n)
print(result) # prints "********"
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A circular device has a diameter of 4.5 inches. What is the radius of the device?
Answer:
Hello there! If the circular device has a diameter of 4.5 inches, the radius of the device would be 2.25 inches.
Step-by-step explanation:
The diameter of the circle is a line segment that not only passes through the center of the circle, but also has endpoints that are on the circle and opposite sides to each other. The radius, on the other hand, is half the distance of the diameter, or the distance from any point on the circle to the center of the circle. I've attached a picture below to show you what that would look like, if you're a visual learner.
Since we know the diameter of the circular device is 4.5 inches, and we know that the radius of a circle is half the length of the diameter of that same circle, that means the radius of the circular device would be [tex]\frac{4.5}{2}[/tex] or 2.25 inches long.
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Need help and answer
The kind of evidence geologists use to make geological timelines of events in Earth's history is the fossil remains.
What is a geological timeline?A geological timeline shows a calendar of events in Earth's history.
To develop geological timelines, scientists understudy physical objects or structures on the Earth. These objects or structures enable them to prove a phenomenon of interest.
Generally, the best form of evidence for the study of the history of life on earth is fossils, as they give clues about geological events and past climates, including the ages of rocks.
Other kinds of evidence for developing geological timelines include the following:
Soil patternsRock kindsGlacier shapesLand structures.Thus, fossils provide the best kind of evidence for geological timelines.
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Hello! I'd like some assistance with this question. For 'd', why can we only estimate the distances? Could anyone please elaborate on the whole question?
Answer:
Please Mark As Brainliest Answer
Step-by-step explanation:
In many contexts, we can estimate distances between objects or locations, but we may not always be able to measure them precisely. There are several reasons why we might only be able to estimate distances rather than measure them exactly:
Limitations of measuring instruments: The precision of a measuring instrument can limit our ability to measure distances accurately. For example, a ruler may only have markings up to a certain level of precision, so we may need to estimate distances between the markings.
The variability of the distance: In some cases, the distance we are measuring may be constantly changing, making it difficult to measure with precision. For example, if we are trying to measure the distance between two moving objects, the distance between them will constantly change, and we may need to estimate the distance at a particular moment in time.
Environmental factors: The environment can also make it difficult to measure distances precisely. For example, atmospheric conditions such as haze or fog can obscure objects and make it difficult to judge their distance accurately.
Human perception and judgment: Finally, our own perception and judgment can also limit our ability to measure distances accurately. For example, when estimating the distance to an object, our perception of the size of the object can affect our judgment of its distance.
In many cases, despite these limitations, estimates of distances can still be useful and informative. For example, in navigation, we may not need to know the exact distance between two points, but only an estimate that is accurate enough to help us navigate from one point to the other
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Verified Answer ✅
what is the formula for rectangle's perimeter
Step-by-step explanation:
the answer is 2(l+b) and it is verified
Use the situation below for both parts of the question.
Aunt Sally is pricing cakes for a school dance. She wants one large cake and some cupcakes.
Dolphin Bake Shop charges $2 for each cupcake, plus $43 for the large cake. This is represented by the equation T = 2c + 43, where c is the number of cupcakes and T is the total cost.
Make A Splash Bakery charges $33 for the large cake and $3 for each cupcake. This is represented by the equation T = 3c + 33, where c is the number of cupcakes and T is the total cost.
Part 1
Aunt Sally wants to know for how many cupcakes would the cost for the two options be the same.
(10, 63)
(0, 40)
(3, 42)
(2, 47)
In the solution, the x-value represents the (A number of cupcakes), (B total cost) and the y-value represents the (A number of cupcakes), (B total cost) when the cost is the same at both shops.
The equations; T = 2c + 43 and T = 3c + 33 for the total cost for the cakes indicates;
Part 1
The number of cupcakes for which the cost would be the same is the option;
(10, 63)In the solution, the x-value represents the A number of cupcakes and the y-value represents the B total cost
What is an equation?An equation is an statement of equivalence between two expression or values by joining them with an '=' sign.
Dolphin Bake Shop charges
Amount charged for each cup cake = $2
Amount charged for the large cake = $43
Total charge, T = 2·c + 43
Make A Splash Bakery
Amount charged for the large cake = $33
Amount charged for each cup cake = $3
Charges total, T = 3·c + 33
Part 1
The number of cupcakes that makes cost for the two options to be the same is found as follows;
The equivalent cost is the point where the equations for the total cost are also equivalent, therefore;
When the cost are the same; T = T and 2·c + 43 = 3·c + 33
2·c + 43 = 3·c + 33
3·c - 2·c = 43 - 33 = 10
c = 10
The number of cupcakes that makes the cost the same is 10 cup cakes
When the costs are the same; T = 2·c + 43, c = 10, therefore;
T = 2 × 10 + 43= 63
The charges at each store when the cost are the same is $63
The point on the graph of both equations at which the charges are the same is therefore the point (x, y) = (10, 63), which is the solution of the system of equations.
(x, y) = (10, 63)x-value is 10, which is the number of cupcakes
y-value is 63, which is the total cost
The correct option is therefore;
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in a certain infinite geometric series, the first term is 1, and each term is equal to the sum of the two terms after it. (for example, the first term is equal to the sum of the second term and third term). if $s$ is the sum of the series and $r$ is the common ratio, find $s - r$.
The value of s-r is 2
What is common ratio?
In a geometric sequence, ratio of each term to its immediately preceding term is always constant and is known as common ratio.
each term is equal to the sum of the two terms after it.
=> ar^n = ar^(n+1) + ar^(n+2)
On dividing both the sides by ar^n and simplfying we get
r= 0.618
sum of the series is:
s= a/(1-r) , a=first term
=> s= 1/(1-0.618 )
=> s= 2.618
s-r = 2.618 - 0.618 = 2
The value of s-r is 2
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find the nth term in form of (n+a)²+b for the sequence
15,22,31
We are aware that ([tex]1^2[/tex] + a1 + b) = 15 represents the sequence's initial term. The second term is determined by the formula ([tex]2^2[/tex] + a2 + b) = 22. These equations can be expressed as a set of linear equations:
a + b = 14 ...(1)
a + b = 14 ...(1)
The results of the simultaneous solving of these equations are a = -3 b = 17.
Thus, [tex](n-3)^2 + 17[/tex] is the nth term in the series in the form of (n+a)2 + b.
Describe Arithmetic Progression.An Arithmetic Progression (AP) is a sequence of numbers in which each term is obtained by adding a fixed value to the previous term. This fixed value is called the common difference of progression.
For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic progression with a common difference of 3. To find the next term, we add 3 to the previous term:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14
And so on.
In general, the nth term of an arithmetic progression can be calculated using the formula:
an = a1 + (n - 1)d
where:
an is the nth term of the sequence
a1 is the first term of the sequence
the common difference between terms
n is the number of the term you want to find
So, if we wanted to find the 10th term of the sequence 2, 5, 8, 11, 14, ..., we would use the formula:
a10 = 2 + (10 - 1)3
a10 = 2 + 27
a10 = 29
Therefore, the 10th term of the sequence is 29.
To find the nth term of the sequence in the form of (n+a)² + b, we need to first find the values of a and b.
Let's begin by finding the difference between consecutive terms in the sequence:
The difference between the first and second terms is 22 - 15 = 7.
The difference between the second and third terms is 31 - 22 = 9.
We can observe that the difference between consecutive terms is not constant, which means that the sequence is not arithmetic. However, we can check if the second differences are constant:
The second difference is 2.
Since the second differences are constant, we can conclude that the sequence can be represented by a quadratic equation of the form (n² + an + b). Now, we need to solve for the values of a and b.
We know that the first term of the sequence is given by (1² + a1 + b) = 15. Similarly, the second term is given by (2² + a2 + b) = 22. We can write these equations as a system of linear equations:
a + b = 14 ...(1)
4a + b = 11 ...(2)
Solving these equations simultaneously, we get:
a = -3
b = 17
Therefore, the nth term of the sequence in the form of (n+a)² + b is:
(n-3)² + 17
So, for example:
The 1st term is (1-3)² + 17 = 9 + 17 = 26
The 2nd term is (2-3)² + 17 = 1 + 17 = 18
The 3rd term is (3-3)² + 17 = 0 + 17 = 17
The 4th term is (4-3)² + 17 = 1 + 17 = 18
The 5th term is (5-3)² + 17 = 4 + 17 = 21
and so on.
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find the slope
x= -1 0 1 2
y = 10 18 26 34
Answer:
x = 10182634
y = - 462847/46
Step-by-step explanation:
Divide both sides of the equation by the coefficient of variable
x = -1012y
y = - 10182634/ 1012
x = -1012y( - 10182634/ 1012)
You accidentally dial one number on your phone's keypad. Find the probability that the number you dialed is greater than 9.
Answer:
0
Step-by-step explanation:
What is probability?Probability (also known as chance) is the number that indicates how likely an event is to occur. If something has a low probability, it is unlikely to happen. If something has a high probability, it is likely to happen.
If we look at a phone keypad, you will see the numbers 0-9, but you will never see a number greater than 9.
0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the numbers, but none are greater than 9.
Write an equation for the line in slope-intercept form.
When the coordinate is (-3, -3) and the slope is -1, the y-intercept is -4.
What is slope?Slope is a measure of the stainless of a line what is surface and it represent by the letter m. It is calculated by dividing the vertical change in the line or surface by the horizontal change in the line or surface. Slope is used in mathematics engineering and other science to measure the rate of change between two point.
The y-intercept is the point at which a line crosses the y-axis when plotting coordinates on a graph. To find the y-intercept, you need to use the equation y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation would be y = -1x - 4. This equation can be used to solve for the y-intercept when the coordinate is (-3, -3). By substituting -3 for x and -3 for y, the equation can be rearranged to -3 = -1(-3) - b, which simplifies to -4 = -b. Therefore, the y-intercept is -4.
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A car rental agency charges $39.99 per day, x, and $0.18 per mile to rent a car. Aaron needs to rent a car for at least 2 days. He can spend no more than $150. Which system of inequalities can be used to find the number of miles, y, Aaron can drive the car?
A X ≤ 2 39.99x+0.18y≥ 150
B. X 22 39.99x+0.18y 150.
C. X ≤ 2 0.18x +39.99y ≤ 150
D. X 22 0.18x +39.99y ≤ 150
Answer:208 mi
Step-by-step explanation:
If David rents the car for four days,
that's an up-front costof 4 × 23.95 = $95.80.
The other cost depends on the distance (d) he drives.
The equation for his total cost (C) isC = 0.26d + 95.80If David has needs a budget
of $150, then
150 = 0.26d + 95.80- 95.80 from each side54.20 =
0.26d ÷ 0.26d = 208.5
David can't drive that extra 0.5 mi without going over his budget.He can drive 208 whole miles.
Find the volume of the rectangular prism with square bases as pictured below
with a = 2 cm and b = 4 cm. Do not include units in your answer.
The volume of the rectangular prism is 32 square centimeters.
What is a prism?A prism is a polyhedron in three dimensions with two identical ends.
The volume of the rectangular prism
= base area of the prism x the height of the prism.
Given:
The base of the prism is squared shape.
And the side of the square is 4 centimeters.
b = 4 and the height is 2 centimeters.
The volume of the rectangular prism,
= base area x height
= (4 x 4) x 2
= 32 square centimeters.
Therefore, the volume of the prism is 32 square centimeters.
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The complete question is given in the attached image.
Solve for x: 48:36::4:x
Answer:
x=3
Step-by-step explanation:
the answer is 3 because 3*12=36 and 4*12=48
The tallest lot in New York city holds one world trade center a building that is 1776 feet tall the shortest light in New York City is empty and 0 feet tall what is the range of heights for lots in New York City
A. 1,776 feet
B. 888 feet
C. 177.6 feet
D. 0 feet
The range of heights for lots in New York City is:
1776 feet - 0 feet = 1776 feet.
What is Height ?Height is a mathematical term that refers to the vertical distance between an object's top and base. On sometimes, it has the designation "altitude." The measurement of an item along the y-axis in coordinate geometry is referred to as height in geometry.
The range of heights for lots in New York City is the difference between the tallest and shortest lots.
The tallest lot is 1 World Trade Center, which is 1776 feet tall.
The shortest lot is empty and 0 feet tall.
Therefore, the range of heights for lots in New York City is:
1776 feet - 0 feet = 1776 feet
So, the answer is A. 1776 feet.
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The diagram shows a prism placed on a horizontal floor.
The prism has height 4m
The volume of the prism is 28m³
The pressure on the floor due to the prism is 35 newtons/m²
Work out the force exerted by the prism on the floor.
The force exerted by the prism on the floor 245 N.
What is Pressure?The physical force applied to an object is referred to as pressure. Per unit area, a perpendicular force is delivered to the surface of the objects. F/A is the fundamental formula for pressure (Force per unit area). Pascals are a unit of pressure (Pa).
Given:
height = 4 m, volume = 28 m³
Pressure = 75 N/m²
Now, Volume of prism = Area of base x height
28 = Аrеа х 4
Area = 28/4 = 7 m²
Also, Pressure = force / Area
35 = force / 7
Force = 35 x 7
Force = 245 N
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What is the volume of this figure?
Answer:
400m³
Step-by-step explanation:
Multiply each section individually. First, multiply 8 x 5 x 4. This gives you 160. Now you multiply 5 x 12 x 4, which equals 240.
Now you add them together to get 400.