The probability of selecting a senior who has a parking pass and a junior who has a parking pass is 0.2730.
At Westville Highschool, there are 315 seniors and 389 juniors. 65% of the seniors have parking passes and 42% of the juniors have parking passes. The statistics teacher selects an SRS (Simple Random Sample) of 30 seniors and a separate SRS of 30 juniors.
To determine the probability of selecting a senior who has a parking pass and a junior who has a parking pass, first the probability of selecting a senior who has a parking pass must be calculated. Since 65% of the seniors have parking passes, the probability of selecting a senior with a parking pass is 0.65. Secondly, the probability of selecting a junior with a parking pass must be calculated. Since 42% of the juniors have parking passes, the probability of selecting a junior with a parking pass is 0.42.The probability of selecting a senior who has a parking pass and a junior who has a parking pass can be found by multiplying the two probabilities. 0.65 x 0.42 = 0.2730.
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Please ASAP Help
Will mark brainlest due at 12:00
Answer:
Plot the point on 1
Step-by-step explanation:
Answer: 1
Step-by-step explanation: There are 10 space on the number line between the two pts. Since we are finding a 1:4 ratio we will need to divide these 10 space by 5.
[tex]10/5=2[/tex]
Which means that the point is two spaces away from T. Which is point 1 on the number line.
How can I solve this?
In conclusion, we need to identify the set of values of x for which either f(x)=-1/4 or f(-x)=-1/4 in order to solve to the equation f(|x|)=-1/4.
How is a function solved?The expression f(|x|)=-1/4 indicates that the absolute value of x's function f is equal to 1/4. Any x values that satisfy this equation are what we are trying to find. We can rewrite the equation as f(x)=-1/4 when x is positive and f(-x)=-1/4 when x is negative because the absolute value of x is always positive.
We must search for values of x such that f(x)=-1/4 or f(-x)=-1/4 in order to identify the answers. Without knowing more about the function, f may be anything, hence we cannot know the precise solutions.
Therefore, we can state that x or -x is a solution to the equation if there is a value of x such that f(x)=-1/4 or f(-x)=-1/4.
As a result, we must identify the range of x values for which either f(x) or f(-x) = 1/4.
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Mr. Moore has a rectangular prism shaped planter box to grow herbs inside his house. The dimensions of the planter box are 4. 5 feet long, 2 feet wide, and 1. 5 feet tall. How any cubic feet of soil does Mr. Moore need in order to fill the planter box
Mr. Moore needs 13.5 cubic feet of soil to fill the planter box.
To calculate the volume of the rectangular prism planter box, we need to multiply the length, width, and height of the box.
Volume = length x width x height
V = 4.5 ft x 2 ft x 1.5 ft
V = 13.5 cubic feet
Therefore, Mr. Moore needs 13.5 cubic feet of soil to fill the planter box.
It is important to note that the volume of the box represents the amount of space inside the box and does not take into account any obstructions or irregularities that may be present inside the box.
Thus, the actual amount of soil required may be slightly different from the calculated value. Additionally, it is always a good idea to add some extra soil to account for settling and to ensure that the planter box is completely filled.
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Find the exact value using the sum/difference formula.
sin 140 degrees cos 50 degrees-cos 140 degrees sin 50 degrees
Pls awnser all they easy (brainlist)
The given expressiοn is equivalent tο -19.5b - 6.9.
What is an expressiοn?A finite cοmbinatiοn οf symbοls that are well-fοrmed in accοrdance with cοntext-dependent principles is referred tο as an expressiοn οr mathematical expressiοn. Unknοwn variables, integers, and arithmetic οperatοrs are the cοmpοnents οf an algebraic expressiοn.
Here, we have
Given: 3(-4.5b-2.1)-(6b+0.6)
We have tο find the expressiοn that is equivalent tο the given expressiοn.
= 3(-4.5b-2.1)-(6b+0.6)
= -13.5b - 6.3 - 6b - 0.6
= -19.5b - 6.9
Hence, the given expressiοn is equivalent tο -19.5b - 6.9.
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To promote his new business, Claudio made 300300300 tamales to give to pedestrians. The expression above describes the number of tamales remaining after passing out samples to ppp pedestrians. If Claudio passed out samples to 160160160 pedestrians, how many tamales would remain?
As a result, 140140140 tamales would be left as Claudio began with 300300300 and distributed samples to 160160160 passersby.
what is expression ?An expression in mathematics is made up of different numbers, variables, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation. Expressions can be simple or complicated and can express a wide range of mathematical connections and concepts. Expressions can be evaluated to get a numerical result or to be simplified using mathematical principles and rules. For instance, the equation "2 + 3" can be evaluated to get the value "5", whereas the expression "2x + 3y - 4z" can be made easier by fusing comparable terms to produce a more straightforward expression, such as "2x - z + 3y."
given
The quantity of tamales left if Claudio began with 300300300 and distributed samples to 160160160 passersby would be:
300300300 - 160160160 = 140140140
As a result, 140140140 tamales would be left as Claudio began with 300300300 and distributed samples to 160160160 passersby.
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The sum of the areas of the two squares on the legs ( a and b ) equals the area of the square on the hypotenuse ( c )?
Answer: A^2 + B^2 = C^2
Step-by-step explanation:
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the two line segments below each have the same length l. if you were to calculate the integral the contour integer of the dot product of vector b with respect to vector s for each path, which one would yield b times l?
In response to the given question, we can state that To compute the function contour integral and establish the value of b times l for each path, the precise path of the line segments must be specified.
what is function?Mathematicians examine numbers and complex variations, equations and associated structures, forms and their locations, and prospective positions for these things. The term "functioning" signifies the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and results in which each input leads to a single, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used this to denote functions (x). The symbol for admission is an x. The four primary types of usable functions are on operations, one-to-one capabilities, so multiple functionality, in capabilities, and then on functions.
It is impossible to predict which path would provide a contour integral of b times l for the dot product of vector b with respect to vector s without knowing the precise trajectories of the line segments.
The contour integral of a vector field F's dot product with respect to a curve C is given by:
∫C F · ds
To compute the contour integral and establish the value of b times l for each path, the precise path of the line segments must be specified.
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Maggie has a bag of different colored marbles the probability of picking an orange marble is 3 out of 10 what is the probability that Maggie will not pick an orange marble is it 3% ,7%, 30%, or 70%
Answer:
70%
Step-by-step explanation:
3 out of the 10 marbles are not orange, so 7/10 chance you don't, and then you can multiply by 10, and then you have 70 percent
giving brainly
Which equation would you use to find the distance between the two points? A. |2 - 4| B. |2 - (-4)| C. |-5 - 5| D. |2 + (-4)|
The equatiοn we wοuld use tο find the distance between the twο pοints is d = √((x₂ - x₁)² + (y₂ - y₁)² ) = √((2 - (-4))² + (y₂ - y₁)² ) = √(6² + (y₂ - y₁)² ) = √36 + (y₂ - y₁)² )
Tο find the distance between twο pοints οn a number line οr in a cοοrdinate plane, we use the distance fοrmula. The distance fοrmula is given by:
d = √((x2 - x1)² + (y2 - y1)² )
where (x1, y1) and (x2, y2) are the cοοrdinates οf the twο pοints.
Nοne οf the οptiοns prοvided represents the distance fοrmula in its entirety. Hοwever, we can use οptiοn B as the first part οf the distance fοrmula, since it represents the absοlute value οf the difference between the x-cοοrdinates οf the twο pοints:
|2 - (-4)|
Simplifying this expressiοn gives:
|2 + 4|
|6|
Therefοre, the equatiοn we wοuld use tο find the distance between the twο pοints is:
d = √((x2 - x1)² + (y2 - y1)²) = √((2 - (-4))² + (y2 - y1)²) = √(6² + (y2 - y1)²) = √36 + (y2 - y1)²)
We still need tο determine the y-cοοrdinates οf the twο pοintstοο cοmplete the distance fοrmula.
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simplify 3 c -9 d+7 c+5 d
I don’t know how can I do this please help meeeee
Answer:
x = 8
Step-by-step explanation:
You want to know the value of x in this similar triangle geometry.
Similar trianglesWhen a segment is drawn in a triangle parallel to the base, it divides the sides proportionally. Every segment on the left has the same ratio to the corresponding segment on the right:
x/6 = 4/3
This equation is solved in the usual way. Multiply by the inverse of the coefficient of x:
6(x/6) = 6(4/3)
x = 8
__
Additional comment
Every proportion can be written several ways. Another way to write this one is ...
x/4 = 6/3
x = 4(2) = 8 . . . . . multiply by 4
If you need to, you can prove the triangles are similar by considering corresponding angles. ∠A≅∠A, ∠APW≅∠AVZ, so the triangles are similar by the AA postulate. (Corresponding angles where a transversal crosses parallel lines are congruent.)
Perhaps not so obvious is the relationship between segments of the long side and segments of the short side. The similarity relation tells us ...
AV/AP = AZ/AW
(4+x)/x = (3+6)/6
4/x +1 = 3/6 +1 . . . . . do the division
4/x = 3/6 . . . . . . . . subtract 1
x/4 = 6/3 . . . . . . invert both sides . . . compare to above
can yall help me with this this is due on Saturday pls help me!!!
Therefore , the solution of the given problem of fraction comes out to be Y is therefore equivalent to 26/5.
A fraction is what?Any combination of like-sized pieces or portions can represent a whole. Standard English defines "quantity" as "a portion" of a particular measure. 8, 3/4. Wholes also include fractions. In mathematics, numerals are expressed by the ratio of quotient to ratio. Every one of these fractions of integers are simple fractions. The fraction contains a fraction, but the fraction's remainder is a challenging fraction. because the values, 4.91, and numerators of real fractions can vary.
Here,
We can begin by isolating the variable with one side of the solution in order to solve for y. The reciprocal of fraction on the left side of the equation can be used to add both sides of the equation to achieve this:
=> 2/5 = (y - 4)/3
=> 3 * 2/5 = y - 4 [add 3 to both ends]
=> 6/5 = y - 4 [simplify]
=> y = 6/5 + 4 [Adjust both ends by 4]
=> y = 6/5 + 20/5 Using the denominator 5 as the corresponding fraction, write 4.
=> y = 26/5
Y is therefore equivalent to 26/5.
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Answer the question with an explanation!!
Answer: 212.5
Step-by-step explanation: you find a base to multiply it with the height so like this 17X25=425 now you have to divided it into a half because it's a triangle 425 divided by 2 = 212.5
In8=2.08 in exponential form
a weather ballon ascends at a constant rate. the height of the ballon 8 minutes after beginning to ascend is 2,320 feet. the height 15 minutes after ascending is 4,350 feet. what is the change in the elevation of the ballon per minute
Answer:
290 feet/minute
Step-by-step explanation:
2320/9 = 290
4350/15 = 290
Pricing Math Quiz
QUESTION 4 of 10: You make a corn dip appetizer that feeds four. The key ingredients and prices are: corn $0.77, sour cream $0.96, cheese
$1.11, seasoning $0.44. What is the total food cost?
Answer:
13 dollars and 12 cents
Step-by-step explanation:
I added all of the ingredient prices in parenthesis then multiplies it by 4. :)
how do you delete your account?
Answer: go to your profile and you'll see the account or profile I
think, and you go to settings and it it will probably say something like delete the account or give you the choice to.
Step-by-step explanation:
Answer:
I think that you click on your profile picture, then go to your settings from there, and then you eventually find the cancel account or delete account choice.
Step-by-step explanation:
you do the above
Which set of ordered pairs does NOT represent a function?ResponsesA(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)
B(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)
C(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)
D(1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)(1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)
E(-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)
The set of ordered pairs in option C does not represent a function.
What is a function?
A function is a mathematical expression, rule, or law that describes the relationship between an independent variable and a dependent variable.
We know that in a function each input has only one output.
So, on evaluating the options, we get
Option A
This represents a function as each input has only one output.
Option B
This represents a function as each input has only one output.
Option C
This does not represent a function as input 2 has two different outputs which are 2 and 7.
Option D
This represents a function as each input has only one output.
Option E
This represents a function as each input has only one output.
Hence, the set of ordered pairs in option C does not represent a function.
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Question: Which set of ordered pairs does NOT represent a function?
A. (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)
B. (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)
C. (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)
D. (1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)
E. (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)
4.02 Lesson Check Arithmetic Sequences (1)
The first four terms of the sequence a(n) = 3n + 2 when evaluated are 5, 8, 11 and 14
How to determine the value of the first four terms?A sequence can be arithmetic or geometric or neither
The definition of the function is given as
a(n) = 3n + 2
The above definitions imply that we simply add 2 to the previous term to get the current term
So, we have
a(1) = 3 * 1 + 2
a(1) = 5
Next. we have
a(2) = 3 * 2 + 2
a(2) = 8
Also, we have
a(3) = 3 * 3 + 2
a(3) = 11
Lastly, we have
a(4) = 3 * 4 + 2
Evaluate the equation
a(4) = 14
Hence, the first four terms are 5, 8, 11 and 14
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What is the slope of the line represented by the following formula?
y = 2 + 6(x-3)
6
12
-3
-6
3
Answer:
slope = 6
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
given
y = 2 + 6(x - 3 ( subtract 2 from both sides )
y - 2 = 6(x - 3) ← in point- slope form
with slope m = 6
a straight line joins the points A (2,1) and B (8,10) The point (6,y) lies on the line AB Find the y coordinate of c
exercise 3.2.5: facts about power sets - true or false. help outline let x be a finite set. for each statement, indicate whether the statement is true or false, or whether more information about x is required to determine if the statement is true.
The given facts about power sets: Statement 1: False, Statement 2: True, Statement 3: True.
Statement 1: The power set of X is a subset of X. False. The power set of X, denoted by P(X), is a set containing all subsets of X. However, X is not a subset of P(X).
Statement 2: The cardinality of P(X) is greater than the cardinality of X. True. Since the power set of X contains all subsets of X, it has a higher cardinality than X. This can be proven with the equation |P(X)| = 2^|X|.
Statement 3: The cardinality of the power set of the empty set is 1. True. The empty set, denoted by Ø, has no elements, and therefore the power set of the empty set, P(Ø), has one element, which is the empty set itself. Therefore, |P(Ø)| = 1.
In conclusion, each statement is either true or false depending on the given information.
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A number, n, is multiplied by -5/8 . The product is - 0.4. What is the value of n?
The value οf n is -0.64.
What is equation?
An equatiοn is a mathematical statement that prοves the equality οf twο mathematical expressiοns, accοrding tο the definitiοn οf an equatiοn in algebra. Fοr instance, the twο equatiοns 3x + 5 and 14 are cοmbined tο fοrm the equatiοn 3x + 5 = 14, which is denοted by the equal sign.
The prοduct is -0.4 in this case when the given statement, n, is multiplied by -5/8.
Putting expressiοn intο practise nοw
=> [tex]n\times\frac{-5}{8}=0.4[/tex]
=> n = 0.4 × 8/-5
=> n = -0.64
Hence the value of n is -0.64.
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The box plot shows a comparison of the heights of gymnasts and basketball players. The mean absolute deviation for each group is approximately 2.
How many mean absolute deviations describe the difference between the two medians?
See image below:
Please give me an answer, work doesn't have to be shown at all, thank you so much.
Answer:
6.75 in
Analysis:
[tex]\text{The average heights of gymnasts is 60 in, the other is 75 in.}[/tex]
[tex](60+75)\div2=6.75 \ \text{in}[/tex]
(35 points!)
Which is CLOSEST to the curve of best fit for the data shown?
(a). y = -10x^2 - 0.5x + 8
(b). y = -2x^2 + 0.2x +23
(c). y = -8x^2 - 0.5x + 9
(d). y = -5x^2 - 18x + 66
The CLOSEST to the curve of best fit for the data shown is:
(c). y = -8x^2 - 0.5x + 9
How to interpret the line of best fit?The line of best fit is defined as a straight line that is drawn to pass through a set of plotted data points that produces the best and most approximate relationship between such given data points.
From the given graph, we see that:
at x = 1, y = 0
Thus:
a) -10x² - 0.5x + 8
Plugging x = 1:
-10(1)² - 0.5(1) + 8
= -10 - 0.5 + 8 = -2.5
b) y = -2x² + 0.2x + 23
At x = 1:
y = -2(1)² + 0.2(1) + 23
y = 21.2
c) y = -8x² - 0.5x + 9
At x = 1:
y = -8(1)² - 0.5(1) + 9
y = -8 - 0.5 + 9
y = 0.5
d) y = -5x² - 18x + 66
At x = 1:
y = -5(1)² - 18(1) + 66
y = 43
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A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $9, and tickets cost $20 per person, including tax. Write and solve an inequality which can be used to determine
�
p, the number of people who can go to the amusement park.
Answer:
Hello, your answer is 10
Step-by-step explanation:
Have a good day UwU
For each ordered pair (x, y), determine whether it is a solution to the inequality y > 0.
(x,y)
(6, 38)
(-4, - 13)
(-1, 8)
(3, 26)
The ordered pairs (6, 38), (-1, 8), and (3, 26) are solutions to the inequality y > 0, while (-4, -13) is not a solution.
Define in short the solution to the inequality?An inequality is a mathematical statement that compares two values and shows the relationship between them using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).
For the given ordered pairs:
(6, 38): The y-coordinate (38) is greater than 0, this ordered pair is a solution to the inequality y > 0.
(-4, -13): The y-coordinate (-13) is not greater than 0, this ordered pair is not a solution to the inequality y > 0.
(-1, 8): The y-coordinate (8) is greater than 0, this ordered pair is a solution to the inequality y > 0.
(3, 26): The y-coordinate (26) is greater than 0, this ordered pair is a solution to the inequality y > 0.
Therefore, the ordered pairs (6, 38), (-1, 8), and (3, 26) are solutions to the inequality y > 0, while (-4, -13) is not a solution.
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Which of the following is a rational number?
Answer:
-77
Step-by-step explanation:
What is Radical? The radical of a number is the same as the root of a number. The root can be a square root, cube root, or in general, nth root. Thus, any number or expression that uses a root is known as a radical. The term radical is derived from the Latin word Radix which means root.
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HELP PLEASE
NUMBER 18
Answer is (1,1)
i. The points of intesection of the common chords of the curve x² + y² = 4 and y² = 3x are
(1, √3) and (1,-√3)ii. The points of intesection of the common chords of the curve x² + y² = 4 and x² - 4y + 1 = 0 are
(√3, 1) and (-√3, 1)What are common chords of a circle?The common chords of circles are the chords that pass through the points of intersection of the curves.
i. Given the curve x² + y² = 4 and y² = 3x. We desire to find their points of intesection of the common chords. We proceeds as follows.
Since x² + y² = 4 and y² = 3x. Substituting the second equation into the first, we have
x² + y² = 4 and y² = 3x.
x² + 3x = 4
Re-arranging, we have
x² + 3x - 4 = 0
Factorizing the quadratic equation, we have
x² - x + 4x - 4 = 0
x(x - 1) + 4(x - 1) = 0
(x + 4)(x - 1) = 0
⇒ x + 4 = 0 and x - 1 = 0
⇒ x = - 4 and x = 1
Now, y² = 3x.
⇒ y = ±√3x
So.substituting x = -4 into the equation, we have
y = ±√3x
y = ±√(3 × -4)
= ±√(-12)
Since the square root is negative, this answer is invalid.
Substituting x = 1 into y, we have
y = ±√3x
y = ±√3(1)
y = ±√3
So, the points of intersection are (1, √3) and (1,-√3)
ii. Given the curve x² + y² = 4 and x² - 4y + 1 = 0. We desire to find their points of intesection of the common chords. We proceeds as follows.
Since x² + y² = 4 and x² - 4y + 1 = 0. From the second equation, we have
x² = 4y - 1
Substituting this equation into the first, we have
x² + y² = 4 and x² = 4y - 1
y² + 4y - 1 = 4
Re-arranging, we have
y² + 4y - 1 - 4 = 0
y² + 4y - 5 = 0
Factorizing the quadratic equation, we have
y² - y + 5x - 5 = 0
y(y - 1) + 5(y - 1) = 0
(y + 5)(y - 1) = 0
⇒ y + 5 = 0 and y - 1 = 0
⇒ y = - 5 and y = 1
Now, x² = 4y - 1
⇒ x = ±√(4y - 1)
So, substituting y = -5 into the equation, we have
x = ±√(4y - 1)
x = ±√[(4 × -5) - 1)]
= ±√(- 20 - 1)
= ±√-21
Since the square root is negative, this answer is invalid.
Substituting y = 1 into x, we have
x = ±√(4y - 1)
x = ±√(4(1) - 1)
x = ±√(4 - 1)
x = ±√3
So, the points of intersection are (√3, 1) and (-√3, 1)
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