The situations that are both statistically fair and morally fair are Situation 2, Situation 3 and Situation 5
How to categorize the situations?For a situation to be fair, the probability of every outcome must be equal.
We can now analyze each option using the above highlight
Situation 1
Alphabets = 26Probability of vowel = 5/26Probability of consonant = 21/26The probabilities of vowels and consonant are not equal.
Hence, this situation is not fair
Situation 2
People = 4
P(Each) = 1/4
The probability of each participant is equal in the above scenario i.e. 1/4
Hence, this situation is fair
Situation 3
People = 5P(Each) = 1/5The probability of each cousin is equal in the above scenario i.e. 1/5
Hence, this situation is fair
Situation 4
Numbers = 5 i.e. 2 to 6P(Prime) = 3/5P(Composite) = 4/6The probabilities of prime and composite numbers are not equal.
Hence, this situation is not fair
Situation 5
Roommates = 5Cards = 5Aces = 4P(Each) = 1/5All probabilities are equal in the above scenario i.e. 1/5
Hence, this situation is fair
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What is the solution of the system of equations shown in the graph? On a coordinate plane, a line goes through (0, 4) and (2, 0) and another line goes through (0, negative 1) and (2, 0). The lines intersect at (2, 0). a. (0, 2) c. (0, 4) b. (2, 0) d. (0, -1)
Answer:
(2,0)
Step-by-step explanation:
The intersecting points of the two lines is the solution for the two equations.
(2,0) is the solution.
(write in algebraic expression) Ice cream shop is open within the month of june,july and august
The shop served 100 fewer customers than they did in july
They served twice as many customers in august as they did in june
In total they served 400 customers over these three months
The algebraic expression of the situation above is 4x - 100 = 400
How to form an algebraic expression?Let
the amount of ice cream they serve in July = x + 100
the amount of ice cream they serve in June = x
They served twice as many customers in august as they did in June.
Therefore,
the amount of ice cream they serve in August = 2(x)
the amount of ice cream they serve in August = 2x
Therefore,
2x + x + x + 100 = 400
4x - 100 = 400
4x = 500
x = 500 / 4
x = 125
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Given u = −8i − 3j and v = −12i − 7j, what is projvu?
−4.845i − 1.819j
−7.275i − 4.244j
−7.886i − 2.957j
−11.828i − 6.900j
Answer:
(b) -7.275i -4.244j
Step-by-step explanation:
The projection of vector u onto vector v is the product of the unit vector v, the magnitude of vector u, and the cosine of the angle between them.
__
The dot product gives the product of the magnitudes of the two vectors and the cosine of the angle between them. To find the projection, we must divide the dot product by the magnitude of v and multiply by the unit vector in the direction of v.
[tex]proj(u,v)=(\vec{u}\cdot\vec{v})\cdot\dfrac{\vec{v}}{|\vec{v}|^2}=\dfrac{((-8)(-12)+(-3)(-7))(-12\vec{i}-7\vec{j})}{(-12)^2+(-7)^2}\\\\=\dfrac{-(96+21)(12\vec{i}+7\vec{j})}{144+49}=-\dfrac{117}{193}(12\vec{i}+7\vec{j})\approx\boxed{-7.275\vec{i}-4.244\vec{j}}[/tex]
find the exact value of sin 15 degrees
Answer:
Hi,
Step-by-step explanation:
sin(a-b)=sin(a) cos(b)+ cos(a) sin(b)
a=45° and b=30°
[tex]sin(45^o-30^o)=sin(45^o)*cos(30^o)+cos(45^o)*sin(30^o)\\\\=\dfrac{\sqrt{2}}{2}* \dfrac{\sqrt{3}}{2}+\dfrac{\sqrt{2}}{2}*\dfrac{1}{2}\\\\\\\boxed{sin(15^o)=\dfrac{\sqrt{2}}{4}*(1+\sqrt{3} )}\\[/tex]
A researcher asks the first 10 people he meets at a shopping mall about their opinions on a certain brand of shampoo. This is an example of a ________________.
A. self-selecting sample
B. convenience sample
C. random sample
D. systematic sample
Answer:
i believe the answer is A
Step-by-step explanation:
Please help me it’s for Plato on edmentum! Algebra 1 Quadratic relationships Mastery test
The equation of the function g(x) will be g(x) = (1/2) x². Then the correct option is B.
The complete question is attached below.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is given below.
f(x) = x²
Then the function g(x) will be
g(x) = a · x²
Then the value of will be
From the graph, at x = 2, g(x) will be 2.
Then we have
2 = a · 2²
a = 1/2
Then the equation of the function g(x) will be g(x) = (1/2) x².
Then the correct option is B.
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Five identical machines cover a total of 32 1/2 ft.² of floor space how much floor space occupied by each machine
Using proportions, it is found that the floor space occupied by each machine is of 6.5 ft².
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, five identical machines cover a total of 32 1/2 ft² = 32.5 ft², hence the space occupied by each machine is given as follows, applying the proportion:
32.5 ft²/5 = 6.5 ft².
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PLS help me with my math
i dont know either your on your own
Step-by-step explanation:
i just dont know
Index Number:
b) A trader bought ar bags of rice at a cost, c= 24x+103 and sold them at a price.
x = 33x-x^2/20
(1)
Find the expression for the profit.
(i) If 20 bags of rice were sold, calculate the percentage profit.
The expression for the profit is -x^2/30 + 9x - 103 and the percentage profit on 20 bags of rice is 11.1%
How to determine the profit expression?The cost and the selling price are given as:
C(x) = 24x + 103
S(x) = 33x - x^2/30
The profit is calculated using:
P(x) = S(x) - C(x)
This gives
P(x) = 33x - x^2/30 - 24x - 103
Evaluate the like terms
P(x) = -x^2/30 + 9x - 103
Hence, the expression for the profit is -x^2/30 + 9x - 103
The percentage profitWhen x = 20, we have:
Cost: C(20) = 24 * 20 + 103 = 583
Profit: P(20) = -(20)^2/30 + 9(20) - 103 = 64.67
The percentage profit is then calculated as:
Percentage = P(x)/C(x) * 100%
This gives
Percentage = 64.67/583 * 100%
Evaluate
Percentage = 11.1%
Hence, the percentage profit on 20 bags of rice is 11.1%
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What are all of the prime numbers between 30 and 40?
Answer:
the prime numbers between 30 and 40 are 31 and 37 come on its so easy
A white tailed deer can sprint at speeds up to 30 miles per hour. American Bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5.280 feet in one mile.
What is the value of x?
log 3x =4
A. 7 B. 27 C. 81 D. 12
Answer:
81
Step-by-step explanation:
for example log2 8=3 is the same as 2^3=8, so if you switch around the variables from your question, your able to do 3^4, which is 81
Determine if the function is an even function, an odd function or neither. > = −6x² – 5x² −2 even neither odd
Answer: even
Step-by-step explanation:
A function is even if f(x)=f(-x), and odd if f(x)=-f(-x). If a function satisfies neither of these, it is neither even nor odd.
[tex]f(x)_=-6x^{2}-5x^{2}-2=-11x^{2}-2\\\\f(-x)=-11(-x)^{2}-2=-11x^{2}-2\\\\\therefore f(x)=f(-x)[/tex]
Therefore, the function is even.
What is the volume of the cylinder below?
-----
-
2112
O O
A. 408 units3 B. 2448 units3
O
C. 204772 units 3
O
D. 20471 units
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
We need to find volume of the given Cylinder, with information :
radius (r) = 12 units height (h) = 17 units[tex]\qquad \sf \dashrightarrow \:Volume_{(Cylinder)} = \pi r²h[/tex]
[tex]\qquad \sf \dashrightarrow \:Volume_{(Cylinder)} = \pi \sdot(12) {}^{2} \sdot17[/tex]
[tex]\qquad \sf \dashrightarrow \:Volume_{(Cylinder)} = \pi \sdot144{}^{} \sdot17[/tex]
[tex]\qquad \sf \dashrightarrow \:Volume_{(Cylinder)} = 2448 \pi \: \: unit {}^{3} [/tex]
So, correct choice is B
The volume of the given cylinder is 2448π cubic units
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We have to find the volume of the given cylinder
Radius is 12 units
Height is 17 units
Volume of cylinder= πr²h
Plug in the values of radius and height
Volume = π×12²×17
=π×144×17
=2448π cubic units
Hence, the volume of the given cylinder is 2448π cubic units
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Solve for X.
6
X = [?]
Enter the number, in decimal form,
that belongs in the green box.
Answer:
By proportional method
[tex] \frac{4}{6} = \frac{5}{x} [/tex]
4x= 30
x= 7.5
please help 35 points!!
Answer:
67m²
Step-by-step explanation:
12m + 6m + 4m + 36 m 8m = 67m²
Find the area to the nearesy square foot of the shaded region below, consisting of a square with a circle cut out of it.
Based on the calculations, the area of the shaded region is equal to 22 square foot.
How to calculate the area of the shaded region?By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:
Area of shaded region = Area of square - Area of circle.
Note: The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.
Radius = diameter/2 = 10/2 = 5 feet.
For the area of square, we have:
Area of square = S²
Area of square = 10²
Area of square = 100 square foot.
For the area of circle, we have:
Area of circle = πr²
Area of circle = 3.14 × 5²
Area of circle = 78.5 square foot.
Substituting the parameters into the formula, we have;
Area of shaded region = Area of square - Area of circle.
Area of shaded region = 100 - 78.5
Area of shaded region = 21.5 ≈ 22
Area of shaded region = 22 square foot.
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Complete Question:Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.
find the area of the shaded polygons
Answer:
4 square units
Step-by-step explanation:
The vertices of the figure are on grid points, so it is appropriate to use Pick's theorem to find the area.
__
formulaPick's theorem tells you the area is ...
A = i +b/2 -1
where i is the number of grid points interior to the figure (0), and b is the number of grid points on the boundary (10).
applicationUsing the counted values in the formula, we find the area to be ...
A = 0 +10/2 -1 = 4
The area of the polygon is 4 square units.
_____
Additional comment
There are several other ways to find the area. Here are a couple:
decompose the figure
A horizontal line 1 unit up from the bottom will divide the figure into a trapezoid and a triangle. The trapezoid has bases 4 and 1, and height 1, so its area is ...
A = 1/2(b1 +b2)h = 1/2(4 +1)(1) = 5/2
The triangle has base 1 and height 3, so its area is ...
A = 1/2bh = 1/2(1)(3) = 3/2
Then the total area is 5/2 +3/2 = 8/2 = 4 square units.
subtract empty space
The figure occupies a 4×4 square with triangles removed from the left side and the top. Each of those triangles has a base of 4 and a height of 3. The remaining (shaded) area is ...
A = s² -1/2bh -1/2bh
A = 4² -1/2(4)(3) -1/2(4)(3) = 16 -12 = 4 square units
PLEASE HELP BRAINLIEST how many small blocks of wood each of length 6cm, breath 4cm, and height 2cm can i cut out from a block of wood of length 2m, breadth 4cm and height 2cm WITH STEP BY STEP EXPLANATION
Answer:
33 blocks
Step-by-step explanation:
Given the length , breath and height for small block 6cm, 4cm, and 2cm an d for large 2m = 200cm, 4cm and 2cm.
volume is given by
V = Length x breath x height
Volume of small block = 6 x 4 x 2 = 48 cm^3
Volume of big block = 200 x 4 x 2 = 1600 cm^
No of blocks = Volume of big block/ volume of small block
= 1600/48
= 33.33
Therefore no of blocks formed = 33
Which shows the solution of the combined inequality?
−1≤2−j<−5
Number line ranging from negative six to zero with a line beginning with an open point at negative five and ending with a closed point at negative one
Number line ranging from negative six to zero with a line beginning with a closed point at negative five and ending with an open point at negative one
Number line ranging from zero to six with a line beginning with a closed point at one and ending with an open point at five
no solution
Step-by-step explanation:
if there is no typo, or there are no parts missing, then
-1 <= 2-j < -5
cannot have any solution, because already for the outside limits -1 < -5 is impossible. -1 is larger than -5 !
Evaluate 2Tu when T =5 and u=9
Answer:
2Tu = 90
Step-by-step explanation:
You can substitute the values T = 5 and u = 9 into the expression to get: 2 × 5 × 9 which is 90 (2 × 45 = 90)
Hope this helps!
The final result is 90 when T = 5 and u = 9.
Here, we have to evaluate 2Tu when T = 5 and u = 9, we substitute the values of T and u into the expression and perform the operations accordingly.
Given expression: 2Tu
T = 5
u = 9
Now, let's substitute the values:
2 * 5 * 9
Next, perform the multiplication:
2 * 5 = 10
10 * 9 = 90
So, when T = 5 and u = 9, the value of 2Tu is 90.
We get, to evaluate 2Tu, we first multiply T and u together, and then multiply the result by 2.
In this case, we have T = 5 and u = 9.
So, we perform the following steps:
Multiply T and u: 5 * 9 = 45
Multiply the result by 2: 2 * 45 = 90
Thus, the final result is 90 when T = 5 and u = 9.
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Help Me please . I want to know Square root of 169 and 144 and 625 . please man fast
Answer:
13,12,25
Step-by-step explanation:
Square root of 169 is 13.
Square root of 144 is 12
Square root of 625 is 25.
Answer:
[tex]\sqrt{169} = 13\\\\\sqrt{144} = 12\\\\\sqrt{625} = 25[/tex]
Step-by-step explanation:
[tex]\sqrt{169} = \left(13^2 \right)^{\tfrac 12} = 13^{\tfrac 22} = 13^1 = 13\\\\\sqrt{144} = \left( 12^2\right)^{\tfrac 12} = 12^{\tfrac 22} = 12^1 = 12\\\\\sqrt{625}= \left(25^2 \right)^{\tfrac 12} = 25^{\tfrac 22} = 25^1 = 25[/tex]
Select ALL the correct answers. Consider the following graph of function f. Which transformations will change function f into function g given below. a vertical shift down 3 units a vertical shift down 5 units a vertical shift up 5 units a horizontal shift left 7 units a horizontal shift right 7 units a horizontal shift left 4 units
A con is tossed 400 times what is the standard deviation
Answer:
deviation is 10
this will help you
I need help please , I don’t really know much about pre calculus
Answer:
The angle Sita here is called Amplitude
1 what is sum of the interior angles of ABCD what is the sum of the exterior angles of CHFE 3 which sides are parallel to CE 4 whicl side id perpendoicular to CE 5 what is the of the measure of
Given that ABCD is a parallelogram, the sum of its interior angles is:
360°
A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.
What is the sum of the exterior angles of CHFE?The sum of the exterior angles of any Triangle or any polygon is 360°. Hence, the sum of the exterior angles of CHFE (a polygon) is 360°.
Which sides are parallel to CE?The sides that are parallel to CE are:
FH
AD and
IJ.The side that are perpendicular to CE is side side HH, hence we can state that:
CE ⊥ EH, because both lines intersect each other at right angles.
Because the sum of angles in a triangle is 180° and we already have ∠CEH to be equal to ∠90° hence,
∠C + ∠H? = 180° - 90°
= 90°
What is the measure of the exterior angles of a Regular Pentagon?The measure of the exterior angles of a regular pentagon is 72°
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Which expression represents the perimeter of the triangle?
8x + 2
18x
8x
Answer:
8x
Step-by-step explanation:
We can add all of the side lengths of the triangle to figure out the perimeter. 3x-1+3x+1=6x+2x=8x
I have 23 hundredths and 12 tenths. Who am I? Convince by using Base 10 Blocks
Answer:
1.43
Step-by-step explanation:
12 tenths ⇒ 1.2
23 hundredths ⇒ 0.23
0.23 + 1.2 = 1.43
( PLEASE HELP WITH THIS QUESTION)
You are studying a single-celled organism under a microscope. Is it possible for this organism to be classified as fungi?
Answer: Yes it is possible
Example: Yeast is a single-celled fungus.
There are probably other types of fungus that are single-celled. However, some other fungi are multi-celled. You will likely need more information about the organism under the microscrope before you can classify it properly.
I need a little help here