120 will be the shape of the sampling distribution.
How do you describe the shape of distribution?Quantitative data's distribution shape may be characterized as having a logical order to the numbers and allowing for the identification of the "low" and "high" end values on the histogram's x-axis. Since qualitative data are not numerical, the distribution shape cannot be specified.
Given that,
Sample size of A, n = 200
Sample size of B, n = 100
Proportion of adults in district A = 60%
Proportion of adults in district B = 45%
In the sample size of 200, the number of adults that support a new ballot measure is:
= (60%) × 200
= 120
Those that oppose is:
= 200 -120
= 80
If 45% supports a new ballot measure in district B, then 55% do not support. The difference between those that support and do not support is:
(55% - 45%) × 100
= 10
Hence, the sampling distribution of p(A) and p(B) is approximately normal, because the number of success in district A is 120.
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A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.
Which inequality represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?
fifty x plus two hundred fifty y, symbol, four thousand five hundred
two hundred fifty X, plus fifty Y, symbol, four thousand five hundred
two hundred fifty X, plus fifty Y, symbol, four thousand five hundred.
fifty X plus two hundred fifty Y, symbol, four thousand five hundred
...
The inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab is 250x + 50y <= 4500
Which inequality represents all possible combinations?
The given parameters are:
Spending = At most $4,500
Cost of monitor (x) = $250 per unit
Cost of keyboard (y) = $50 per unit
The total spending is represented as
Total = 250 * x + 50 * y
This gives
Total = 250x + 50y
The spending is at most $4,500 i.e less than or equal to
So, we have
250x + 50y <= 4500
Hence, the inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab is 250x + 50y <= 4500
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the volume of a rectangular prism is represented by the expression (x^3-2x^2-20x-24). if the length is (x-6) and the height and width are equal, what is the width of the prism?
The width of the prism is x+2. The smallest dimension of an item or figure on a planar surface is its width.
How do you find volume in rectangular prisms?When calculating the volume of a rectangular prism, we multiply the prism's length, width, and height.
A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section.
Given, the volume of the prism
= x³ + 2x²+ 20x - 24
length = (x- 6 )
height and width are equal then
h * w = x³ + 2x²+ 20x - 24 / (x - 6)
= (x + 2 ) (x + 2)
h = (x +2 )and
w = (x+2)
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hurry please last question it’s due in 20 minutes
Answer:
Step-by-step explanation:
2. Subtraction property of equality
3. Simplification
4. Subtraction property of equality
5. Simplification
Does anyone know the area of this figure in square inches
The area is 120 [tex]cm^{2}[/tex].
What is area?Area is the size of a two-dimensional surface, usually expressed in square units, such as square feet or square meters. It is the amount of two-dimensional space enclosed within a given set of boundaries. Area can be calculated for various shapes, including squares, rectangles, triangles, circles, and more complex shapes. Area is also a measure of the amount of space an object occupies. In mathematics, area is used to measure the size of a shape or region in a plane. It can also be used to calculate the size of a figure, such as the area of a triangle, or to measure the area of an enclosed space, such as a garden or a room.
Given:
AB = CD = 8cm
AD = BC = 12cm
EF = DH = 4cm
So, the required area is A = Area (ABCEFD) = Area (ABCD) + Area (CEFD)
Area of ABCD = Area (ABCD) = AB × BC
⇒ 12 × 8 = 96 [tex]cm^{2}[/tex]
Area of CEFD = Area (CEFD) = 0.5 (CD + EF) × HD
⇒ 0.5 × (8 + 4) × 4 = 24[tex]cm^{2}[/tex]
Now, the required area is
⇒ A = 96 [tex]cm^{2}[/tex] + 24 [tex]cm^{2}[/tex] = 120 [tex]cm^{2}[/tex]
Hence, the required area of the figure is 120 [tex]cm^{2}[/tex].
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asmita went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard deck of 52 cards. asmita has had good luck at blackjack in the past, and she actually got three blackjacks with aces in a row the last time she played. because of this lucky run, asmita thinks that ace is the luckiest card. the dealer deals the first card to her. in a split second, she can see that it is a non-face card, but she is unsure if it is an ace. what is the probability of the card being an ace, given that it is a non-face card? answer choices are in a percentage format, rounded to the nearest whole number.
The probability of the card being an ace, given that it is a non-face card will be 0.1 or 10%
There are total 52 cards.
Out of 52, 26 are red and 26 are black.
Each of the four French suits—clubs (♣), diamonds (♦), hearts (♥) and spades (♠).—has 13 ranks in a regular 52-card deck. King, Queen, and Jack are the three court cards (face cards) in each suit, and their pictures are reversed (double-headed). The ten numerical cards, or pip cards, in each suit range in value from one to 10.
Out of 52 cards, (Kings, Queen, Ace) are faced card.
And each set of cards have 4 different colour and shades.
So, total number of faced card will be = 4*3 = 12
So, total number of not a faced card = 52-12 = 40
So, the value of P (It is an ace and it is not a face card) =4/52
So, the value of P(It is not a face card)=40/50
[tex]P\left(\frac{\text { It is a ace }}{\text { It is not a face curd }}\right) =\frac{P(\text { It is an ace and it is not aface carl) }}{P(\text { It is not a face card) }} \\\\ =\frac{\frac{4}{52}}{\frac{40}{52}}\\\\=\frac{4}{40}\\\\=0.1=10\% }[/tex]
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Im very confused please help
Answer:
x=21
y=9/15 or 15/9
Step-by-step explanation
scale factor is either 15/9 or 9/15 - can't tell which way by the question
9/15x35=21
x=21
function rule to find f(21)
Answer:
0
Step-by-step explanation:
x
f(x) = ------ - 3
7
21
f(21) = ------ - 3
7
f(21) = 3 - 3
f(21) = 0
I hope this helps!
Will give 5 stars and give thanks
Answer:
x=36
Step-by-step explanation:
The length of a secant segment and a tangent segment drawn to a circle drawn from an external point is:
whole secant * external secant = tangent^2
(12+x)*12=24^2
144+12x=576
12x=432
x=36
What is the value of x in the solution of systems below?
The solution for this system of equation will be [tex]x=4, y=-3.[/tex]
We will solve the given system of equation by the method of substitution. Now we label the equations as [tex]2x+y=5....(i)[/tex] and [tex]-3x-5y=3....(ii)[/tex].
Now from equation [tex](i)[/tex] we will find the value of [tex]y[/tex] which is [tex]5-2x[/tex]. Then we will substitute the value of [tex]y[/tex] in equation [tex](ii)[/tex].
So, [tex]-3x-5\times(5-2x)=3[/tex]
⇒ [tex]-3x-25+10x=3[/tex]
⇒ [tex]7x-25=3[/tex]
⇒ [tex]7x=28[/tex]
[tex]\therefore x =\frac{28}{7}=4....(iii)[/tex]
Now we will take the value of [tex]x[/tex] from equation equation [tex](iii)[/tex] and substitute in equation [tex](i)[/tex] to get the value of [tex]y[/tex].
So, [tex](2 \times 4)+y=5[/tex]
⇒ [tex]8+y=5[/tex]
⇒ [tex]y=8-5[/tex]
[tex]\therefore y=3[/tex]
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What is the value of K?
After solving the quadratic equation, the value of k will be equal to 71.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equation in the question,
4x² - 5x = -6
4x² - 5x + 6 = 0
k = b² - 4ac
⇒ (-5)² - 4(4)(6)
k = 25- 96
k = -71 or,
k = i(71)
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help me please!!! :)
Answer:
A
(will be continued)
Step-by-step explanation:
this is an exponential graph
The original mass is 7.71 because it is being multiplied by the percentage.
0.9333 in percentage form is 93.33
Since it is being multiplied, by the original mass this means that 93.33% of it is the amount being left over.
100% - 93.33% = 6.67%
this is the decrease in the amount of the thing
***tell me if i explained it clearly i'm not sure if i did
aj sold 200 candy bars to raise money for their community softball league. Milk chocolate candy bars sold for $3 each, and dark chocolate candy bars sold for $4 each. Aj sold $675 worth of candy bars. The system of equations below represents the sales of candy bars.
m+d=200
3m+4d=675
How many dark chocolate candy bars did AJ sell?
Enter your answer in the box.
The number of dark chocolate AJ sold is 75
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. m and d . They are called simultaneous equations because the equations are solved at the same time.
If the number of Milk chocolate candy is m and the number of dark chocolate candy is d, then
m+d= 200 equation 1
3m+4d= 675 equation 2
to eliminate m we multiply both equations by 3
3m+3d= 600 equation 3
3m+ 4d=675 equation 4
subtract equation 3 from 4
d = 675-600
d= 75
Therefore the number of dark chocolate candy AJ sold is 75.
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Find the area of the trapezium.
Answer:
68 cm^2
Step-by-step explanation:
A = ((a+b)/2) x h
A = ((6+11)/2) x 8
A = 68 cm^2
I hope my answer helps you.
Answer:
Area of the trapezium is 68[tex]cm^{2}[/tex]
Step-by-step explanation:
[tex]Given[/tex],
[tex]Parallel side\\[/tex] [tex]A[/tex]= 6cm
[tex]Parallel[/tex][tex]sideB=11cm[/tex]
[tex]Height = 8[/tex]
Formula to find the area of the trapezium
[tex]Area[/tex] [tex]of[/tex][tex]Trapezium[/tex]=[tex]\frac{1}{2}(a+b)h[/tex]
[tex]\frac{1}{2}[/tex][tex](6+11)8[/tex]
[tex]\frac{1}{2}[/tex] X[tex]136\\[/tex]
[tex]68[/tex]
Hence the area of the trapezium is 68
A pharmaceutical person earns a 12% of commission of the total sales of the stains that he sell to the hospital. If he earns 800,000.00 in commission
Answer: $1,504,000
Step-by-step explanation:
First, take 800,000 divided by 100% = $8000
So we know that 1% is $8000
We are missing 88%, so take 8000 times 88 = $704,000
Then we add 800,000 with 704,000 = $1,504,000
So the total sales are $1,504,000
What is the slope of the line?
5(y+2)=4(x-3)5(y+2)=4(x−3)
Answer:
4/5
Step-by-step explanation:
PLEASE HELP ME PLS ......
Answer:
1 = 45
2 = 75
3 = 60
4 = 41
5 = 71
6 = 109
Step-by-step explanation:
This may seem tricky at first, but if you follow the order of the numbers, you can find them fairly quickly using the values already given.
For angle 1:
The angle above it of 45 degrees is similar to angle 1, so that it automatically going to be 45
For angle 2:
The same concept for angle 1 applies for angle 2, so it will be 75 degrees.
For angle 3:
All triangles add up to 180 degrees. So, since we have angles 1, and 2, solve to find 3:
180 - 45 - 75 = 60
For angle 4:
All straight lines add up to 180 degrees. So solve to find angle 4 using the value we found for angle 3:
180 - 60 - 79 = 41
For angle 5:
Angle 5 is part of another triangle and we have two of the angles already. So solve to find angle 5 using the logic used to find angle 3:
180 - 41 - 68 = 71
For angle 6:
angles 5 and 6 are part of a straight line, so use the same logic for angle 4 and solve for angle 6:
180 - 71 = 109
Find the area of the Composite Figure
The area of the composite figure is 242in² as per the given information in the figure.
What is meant by a rectangle?Rectangulus, a combination of the Latin words rectus (as an adjective, right, appropriate), and angulus, is where we get the word rectangle (angle).
A crossed rectangle is a crossed (self-intersecting) quadrilateral made up of two opposing sides and the two diagonals of a rectangle[4] (therefore only two sides are parallel). It is a specific case of an antiparallelogram with angles that are not all equal and right angles, even though opposite angles are. Other geometries, including spherical, elliptic, and hyperbolic, with opposite sides of equal length and equal angles that are not right angles.
Area =Area of the down rectangle+ Area of the up rectangle+2×Area of the triangle
Area= (7×24)+(4×13)+2×(1/2)×b×4
Let, 13+2x=24
Here, x=b
So, 2b=11
b=11/2
Area= 168+52+4(11/2)
Area=168+52+22
Area=242in²
Therefore, the area of the composite figure is 242in².
So, option C is correct.
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6. You and a friend go to the store and purchase 3 candy bars that cost $0.84 each and 2 sodas that cost $1.80 each. You are going to split the cost. You pay for your half with a five dollar bill. How much change will you receive? Please SHOW your work.
A. $3.06
B. $1.60
C. $6.12
D. $1.94
Answer:
correct answer is D) $1.94.
Step-by-step explanation:
To solve this problem, we first need to calculate the total cost of the candy bars and the sodas. The candy bars cost $0.84 each, so 3 candy bars cost 3*$0.84=$2.52. The sodas cost $1.80 each, so 2 sodas cost 2*$1.80=$3.60. The total cost of the candy bars and sodas is $2.52+$3.60=$6.12.
Since you are going to split the cost with your friend, you will pay for half, which is $6.12/2=$3.06. You pay for your half with a five dollar bill, so you will receive $5-$3.06=$1.94 in change.
I hope it helps, let me know if you have another questions.
Answer:
Step-by-step explanation:
First, we need to find the total cost of the candy bars by multiplying the number of candy bars by the price per candy bar: 3 candy bars * $0.84/candy bar = $3*0.84=2.52Next, we need to find the total cost of the sodas by multiplying the number of sodas by the price per soda: 2 sodas * $1.80/soda = $2*1.8=3.60Then, we need to add the cost of the candy bars and the sodas to find the total cost: $2.52 + $3.60 = $<<2.52+3.6=6.12>>6.12Since you are paying for half of the total cost, you need to pay half of $6.12, or $3.06.If you pay for your half with a five dollar bill, you will receive $5 - $3.06 = $5-3.06=1.94 in change. Answer: 1.94.
triangleCDE is reflected over the x-axis. What are the vertics of triangleC'D'E'?
The required vertices of the triangle C'D'E' are (-8, 1), (-6, 5), and (-2, 4) respectively.
Given that,
Triangle CDE is reflected over the x-axis. What are the vertices of triangleC'D'E' is to be determined.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
The coordinates of vertices C, D, and E are (-8, -1), (-6, -5), and (-2, -4) respectively.
For the reflection across the x-axis is given as,
(x , y) = (x -y)
Now,
C(-8, -1) across the x-axis C'(-8 , 1)
D(-6, -5) across the x-axis D'(-6 , 5)
E(-2, -4) across the x-axis E'(-2 , 4)
Thus the required vertices of the triangle C'D'E' are (-8, 1), (-6, 5), and (-2, 4) respectively.
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Triangle KJL is similar to triangle HGI what is the length of HG
Answer:
3.75mm
Step-by-step explanation:
4.5/3=1.5
1.5(2.5)=3.75
the ratios are the same
HELP PLEASE ?! HURRY
Only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.
What is a expression? What is a mathematical equation? What is constant of proportionality?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.The general equation of a straight line is y = mx + c. The equation can also be used to represent direct proportionality as -
y = mx
m = y/x
[m] is called constant of proportionality.
Given is a graph as shown in the figure.
The graph represents a proportional relationship. The possible coordinates that can be plotted are (x, y) and not (y, x). Only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.
Therefore, only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.
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what do you add to 4 5/8 to make 6
Answer: 1 3/8
Step-by-step explanation:
6 - 4 5/8 = 1 3/8
Since you are missing a part to the sum, you use subtraction to find the missing part.
Lake Erie, the smallest of the Great Lake by volume, still holds an impressive 116 cubic miles of water. Suppose you start today dumping out the entire volume of Lake Erie using a cone cup. A typical cone cup has a diameter of 2 and 3/4 inches and a height of 4 inches. About how long would it take you to empty the lake if you could dump out one cup per second?
3.7261×10¹⁵ seconds is the time it would take you to empty the lake
How to determine how long it would take to empty the lake?
Given that:
Lake Eric can hold 116 cubic miles of water
One cup has a diameter of 2 and 3/4 inches and a height of 4 inches
Volume of cone cup = 1/3 πr²h
Volume of cone cup = 1/3×π×(11/8)²×4 = 7.92 cubic inches
Volume of Lake Erie = 116 cubic miles
To convert to cubic inches multiply by 2.544×10¹⁴:
Volume of Lake Erie = 116×2.544×10¹⁴ = 2.95104×10¹⁶ cubic inches
Time taken = 2.95104×10¹⁶ / 7.92 = 3.7261×10¹⁵ seconds
Therefore, it would take you 3.7261×10¹⁵ seconds to empty the lake
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what are two square roots of 484
Answer:
22, and -22
Step-by-step explanation:
22x22=484
-22x(-22)=484
how many ways can we have the 2n people stand in a line so that no person is standing next to their spouse?
The variety of arrangements we can make for the 2n people to stand in a line such that nobody is next to their spouse;
(2n)! - ∑ⁿₓ₋₁ 2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
Explain the term exclusion and inclusion?Everything a study needs to meet the inclusion criteria is included. Exclusion criteria are indeed the elements that would exclude a study from inclusion. The following criteria should be taken into account: studies of this kind: It is crucial to choose publications with a study design that is relevant for the research issue.The step for the simplification are-
Utilizing exclusion and inclusion to determine that at least 1 wife is seated next to her husband in the total number of ways to seat 2n individuals in 2n chairs.Let A1 represent the attribute in which at least 1 wife can be seen sitting next to her husband.The wife and husband are then "merged" into one person. We have (nC1) options to select one pair from n couples, leaving us with (2n) to position (2n) "people" in order to obtain (2n)! and so forth.Finally, on a broad note:
(2n)! - (2(ⁿC₁)(2n - 1)! - 2²(ⁿC₂)(2n - 1)! + .....2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
On further simplifying;
(2n)! - ∑ⁿₓ₋₁ 2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
Thus, the variety of arrangements we can make for the 2n people to stand in a line such that nobody is next to their spouse;
(2n)! - ∑ⁿₓ₋₁ 2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
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Please help with this. I dont get it. How to solve?
The solutions are
a) The smallest possible value of x - y is A = -6
b) The largest possible value of 2x / y is B = 6
c) The largest possible value of x² + y² is C = 100
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the first inequality equation be represented as P
The value of P is
-4 ≤ x ≤ 6
Let the second inequality equation be represented as Q
The value of Q is
2 ≤ y ≤ 8
Now , the smallest value of inequality P is = -4
The largest value of inequality P is = 6
And , the smallest value of inequality Q is = 2
The largest value of inequality Q is = 8
a)
Let the smallest possible value of x - y be = A
The value of x - y is calculated as
The smallest value of P - smallest value of Q
Substituting the values in the equation , we get
A = -4 - 2
A = -6
Therefore , The smallest possible value of x - y is A = -6
b)
Let the largest possible value of 2x / y be = B
The value of 2x/y is calculated as
Largest value of x goes in numerator and smallest value of y goes in denominator to get the largest value of 2x/y
So , substituting the values in the equation , we get
B = ( 2 x 6 ) / 2
B = 12 / 2
B = 6
Therefore , The largest possible value of 2x / y is B = 6
c)
Let the largest possible values of x² + y² be = C
The value of x² + y² is calculated as
The largest value of x squared + the largest value of y squared
Substituting the values in the equation , we get
C = 6² + 8²
C = 36 + 64
C = 100
Therefore , The largest possible value of x² + y² is C = 100
Hence , The solutions are
a) The smallest possible value of x - y is A = -6
b) The largest possible value of 2x / y is B = 6
c) The largest possible value of x² + y² is C = 100
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PLSS HELP MEEE!! It'll be very appreciated
PLEASE HELP!! WILL GIVE BRAINLIEST AND 25 POINTS!!
Solve for x. Round your answer to the nearest tenth.
A. 11.5
B. 10.2
C. 12.0
Answer: 11.5
Step-by-step explanation:
[tex]\sin 35^{\circ}=\frac{x}{20}\\\\x=20 \sin 35^{\circ}\\\\x=11.5[/tex]
A frying pan has a diameter of 13 inches. What is the area to the nearest whole square inch of the smallest cover that will fit on top of the frying pan
Answer:
176cm
Step-by-step explanation:
area of a circle(cover)= pie r squaretherefore r=13÷2 =r=7.5. and pieces =22÷7
then we substitute
22÷7×(7.5 ×7.5)
=3.14×56.25
=176.58
to the nearest whole =176cm
Members of a softball team raised $2089.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
The number of players the team can bring to the tournament would be = 24 players
What is softball game?The softball game is the type of game that involves two teams which is made up of 9. - 10 players.
The total amount of money raised by a softball team=
$2089.50
The amount of money spent on rented bus = $1087.50
The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002
The amount budgeted for meals for each player= $41.75
The number of players that would be brought for tournament= 1,002/41.75
= 24 players.
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