Answer: 4
Step-by-step explanation:
The length of a cell phone is 1.41.4 inches and the width is 3.83.8 inches. The company making the cell phone wants to make a new version whose length will be 0.910.91 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Use the appropriate formula to determine the periodic deposit.
How much of the financial goal comes from deposits and how much comes from interest?
a) Periodic Deposit = (A - P×(1 + r/n)ⁿᵗ) × (n / ((1 + r/n)ⁿᵗ - 1))
b) The amount of the financial goal that comes from deposits is $60305.24 and the amount that comes from interest is = $149694.76.
What is compound interest?Compound interest is a method of calculating interest on a principal amount that includes not only the initial principal but also the accumulated interest from previous periods.
a. The formula for periodic deposits, assuming a fixed interest rate and the same amount of deposit made at the end of each period, is:
Periodic Deposit = (A - P×(1 + r/n)ⁿᵗ) × (n / ((1 + r/n)ⁿᵗ - 1))
Where:
A = Financial goal
P = Initial deposit (assumed to be 0 in this case)
r = Annual interest rate (as a decimal)
n = Number of compounding periods per year
t = Time (in years)
Substituting the given values, we have:
Periodic Deposit = (210000 - 0*(1 + 0.035/12[tex])^{(12\times 13)}[/tex] * (12 / ((1 + 0.035/12[tex])^{(12\times 13)}[/tex] - 1))
= $543.15 (rounded to the nearest cent)
Therefore, the periodic deposit needed to reach the financial goal of $210000, with a 3.5% annual interest rate compounded monthly over 13 years, is $543.15 at the end of each month.
b. To determine how much of the financial goal comes from deposits and how much comes from interest, we can use the following formula for the future value of an annuity:
FV = P * ((1 + r/n)ⁿᵗ - 1) / (r/n) + A * (1 + r/n)ⁿᵗ
Where:
FV = Future value of the annuity (i.e., the financial goal)
P = Initial deposit
A = Periodic deposit
r, n, t = Same as before
Substituting the given values and solving for P, we have:
P = (210000 - 543.15 * (1 + 0.035/12[tex])^{(12\times 13)}[/tex] ) * (0.035/12) / ((1 + 0.035/12[tex])^{(12\times 13)}[/tex] - 1)
= $60305.24 (rounded to the nearest cent)
Therefore, the amount of the financial goal that comes from deposits is $60305.24, and the amount that comes from interest is $210000 - $60305.24 = $149694.76.
Hence,
a) Periodic Deposit = (A - P*(1 + r/n)ⁿᵗ) * (n / ((1 + r/n)ⁿᵗ - 1))
b) The amount of the financial goal that comes from deposits is $60305.24 and the amount that comes from interest is = $149694.76.
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A right triangle has legs measuring 18 in. and 26 in. what is the length of the hypotenuse? round to the nearest tenth. responses 18.8 in. 18.8 in. 31.6 in. 31.6 in. 44.0 in. 44.0 in. 100.0 in.
The hypotenuse of the right triangle with legs measuring 18 in and 26 in is 31.6 in, rounded to the nearest tenth. This is calculated by using the Pythagorean Theorem, which states that a2 + b2 = c2 and plugging in the values for a and b.
The hypotenuse of a right triangle is the longest side of the triangle and is always opposite of the right angle. To calculate the length of the hypotenuse, you need to use the Pythagorean Theorem. The theorem states that a2 + b2 = c2, where a and b are the legs of the triangle and c is the hypotenuse. In this case, a is 18 inches and b is 26 inches, so the equation would be 182 + 262 = c2. Plugging in the values, we get 324 + 676 = c2, which simplifies to 1000 = c2. To find the length of the hypotenuse, we need to take the square root of 1000, which is 31.6 inches. Rounded to the nearest tenth, the hypotenuse of the right triangle with legs measuring 18 in and 26 in is 31.6 in.
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For some reason, Brainly keeps saying that the question I'm asking hurts their feelings though I am just typing out the question from the screenshot. please take a look
There is part A and Part B.
1) Note that the ratio of the Area of the Trapezoid to that of the Triangle is 3:1 (Option D)
2) No. Ivan is not correct. He multiplied the base by the length of the side of the parallelogram to get 99cm the correct answer, however, is 90cm.
What is the rationale for the above response?1) To determine the ratio of the Trapezoid to that of the Triangle, we need to first find the Areas of both.
a) To find the area of a trapezium, we use the formula:
Area = (1/2) × (sum of the parallel sides) × (height)
In this case, the trapezium has bases of length 9 cm and 18 cm, and a height of 10 cm. So, we can substitute these values into the formula to get:
Area = (1/2) × (9 + 18) × 10
Area = (1/2) × 27 × 10
Area = 135 square cm
Therefore, the area of the trapezium is 135 square cm
b) To find the area of an isosceles triangle, we can use the formula:
Area = (1/2) × base × height
In this case, the base of the triangle is 9 cm and the height is 10 cm. So, we can substitute these values into the formula to get:
Area = (1/2) × 9 × 10
Area = 45 square cm
Therefore, the area of the isosceles triangle ACE is 45 square cm.
c) To find the ratio of the area of the trapezium to that of the isosceles triangle, we need to calculate the area of the isosceles triangle using the given dimensions and then divide the area of the trapezium by the area of the triangle.
The ratio of the area of the trapezium to the area of the triangle is:
Ratio = Area of trapezium / Area of triangle
Ratio = 135 / 45
Ratio = 3
Therefore, the ratio of the area of the trapezoid to that of the triangle is 3:1.
d) Note that the area of a parallelogram is given by the formula:
Area = base x height
In this case, the base of the parallelogram is 9 cm and the height is 10 cm. So, we can substitute these values into the formula to get:
Area = 9 cm x 10 cm
Area = 90 square cm
Therefore, the area of the parallelogram is 90 square cm, not 99cm as indicated by Ivan.
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OnOff
Question
A composite figure is shown.
What is the total area of this figure?
164 sq. cm.
136 sq. cm.
216 sq. cm.
160 sq. cm.
Answer:
164 cm^2
Step-by-step explanation:
lets find square of triangle first
corner ABD is 90 degrees coz corner ABC is 180 degrees and EBC is 90
(sum of all angles of a quadrilateral is 360,
B = 360 - C - F - E
360 - 90 - 90 - 90 = 90)
BD = CF - DE
BD = 16 - 8 = 8 cm
S ABD = AB * BD / 2 (coz corner B is 90 degrees)
S ABD = 13 * 8 / 2 = 13 * 4 = 52 cm^2
lets find square of BEFC next
S BEFC = CF * EF ( B = C = F = E = 90 so thats a rectangle)
S BEFC = 16 * 7 = 70 + 42 = 112 cm^2
finally lets find total area
S = S ABD + S BEFC = 52 + 112 = 164 cm^2
a farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. if the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 242 ft2, how many feet of fencing should be purchased?
The farmer needs to purchase 66 feet of fencing to enclose the rectangular region.
Let's call the length of the side of the rectangle that is parallel to the barn "2x" (since it is twice the length of the adjacent side), and let's call the length of the adjacent side "x". The length of the side opposite the barn is also "x", since it is opposite to the adjacent side.
We know that the area of the rectangle is 242 ft^2. The formula for the area of a rectangle is:
area = length * width
So we can write an equation for the area of the rectangle in terms of "x":
242 = 2x * x
Simplifying this equation, we get:
242 = 2x²
Dividing both sides by 2, we get:
121 = x²
Taking the square root of both sides, we get:
11 = x
So the adjacent side of the rectangle is 11 feet, and the side parallel to the barn is twice as long, or 22 feet.
To find the amount of fencing needed, we need to add up the lengths of all three sides that are not parallel to the barn. The formula for the perimeter of a rectangle is:
perimeter = 2 * length + 2 * width
Since one of the sides is the barn, we only need to add up the lengths of the two sides opposite the barn:
Perimeter = 2 * length + 2 * width
Therefore, the farmer needs to purchase 66 feet of fencing to enclose the rectangular region.
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can ypu please answer this question
Answer: A=71°
Step-by-step explanation:
A+B+C=180°
A+38°+C=180°
A+C=180°-38°
A+C=142°
142°/2=71°
∴A=71°
∴C=71°
You consume 14 pounds of turkey annually. At a discount store, the price of turkey is $0.99 less per pound than at a supermarket. How much would you save annually, in dollars, if you bought all of your turkey at the discount store?
The required we can save $13.86 annually by buying all your turkey at the discount store.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's call the price of turkey per pound at the supermarket "x". Then the price of turkey per pound at the discount store would be x - $0.99.
Since we consume 14 pounds of turkey annually, the cost of the turkey at the supermarket would be 14 × x dollars.
And the cost of the turkey at the discount store would be 14 × (x - $0.99) dollars.
Therefore, the amount you would save annually by buying all your turkey at the discount store is,
= 14 × x - 14 × (x - $0.99) = 14 × $0.99
= $13.86
So, we would save $13.86 annually by buying all your turkey at the discount store.
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what is the area of the long triangle
Check the picture below.
[tex]\cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{A_2}\implies \cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{(36)}\implies \cfrac{8^2(36)}{36}=A_1\implies 8^2=A_1\implies \stackrel{ mm^2 }{64}=A_1[/tex]
What is the volume of the cylinder? Round to the nearest hundredth and approximate using π = 3.14. cylinder with a segment from one point on the circular base to another point on the base through the center labeled 2.8 feet and a height labeled 4.2 feet
10.39 cubic feet
25.85 cubic feet
36.93 cubic feet
73.85 cubic feet
Answer:
25.85 cubic feet
Step-by-step explanation:
Volume of a cylinder is
Base Area • height
The Base Area of a cylinder is a circle. The area of a circle is pi•r^2.
Vol = pi•r^2•h
They gave the diameter of the circle as 2.8, so the radius is half of that.
r = 1.4
The height was given
h = 4.2
Fill in radius and height and 3.14 for pi. Square the radius and then multiply everything.
see image.
Round to two decimal places.
hi i just did the test and the answer is 25.85 cubic feet
and it was correct btw other person deserves brainly have a nice day!
A radioactive compound with mass 480 grams decays at a rate of 15.1% per hour. Which equation represents how many grams of the compound will remain after 2 hours?
Using the equation [tex]C =a (1 - r)^{t}[/tex] , 179.75 grams will remain after 2 hours
What is Exponential Decay?
Exponential Decay is the process of reducing an amount by a consistent percentage rate over a period of time using the formula [tex]C = a(1-r)^{t}[/tex]
Where a = 480 grams
r = 15.1% = 0.151
t = 2 hours
C = 480(1 - 0.151)^2
C = 480(0.849)^2
C = 346 grams
Therefore, 346 grams will remain after 2 hours
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Two sides of a triangle have lengths 3 cm and 8 cm respectively. The third side has a length of x cm, where x is an integer. Write down an inequality that must be satisfied by x
======================================================
Explanation:
Let's label the sides of the triangle a, b, and c.
Furthermore, let's have 'a' & b represent known sides and [tex]b \ge a[/tex] be the case. For a triangle to be possible, the missing side c must have these restrictions placed on it:
b-a < c < b+a
This inequality is valid because of a modification to the Triangle Inequality Theorem. I'll leave the proof to the reader.
-------
In this case we have a = 3 and b = 8 which lead to...
b-a < c < b+a
8-3 < x < 8+3
5 < x < 11
The third side is between 5 and 11, excluding both endpoints. We cannot have x = 5. Furthermore, we cannot have x = 11 either. If x were either of those endpoints, then we'd form a straight line rather than a triangle.
Having x be an integer leads to the roster set notation {6,7,8,9,10} to represent all possible values of x. For instance, we could have a triangle with side lengths 3, 8, and 6. I recommend getting slips of paper of these lengths to try it out yourself. Or you can use software such as GeoGebra to see why this works.
AHHHHHHHHHHHHHHHHHHH
Answer: look at the image for the answer and solution
Step-by-step explanation:
Answer: x = 365
Step-by-step explanation:
find the angle bisector and divide and multiply it
023) You are the owner of a AT&T store that
has two employees working at all times.
The first employee scheduled to work next
Wednesday makes $10.50 per hour and
averages $50 per day for commision. The
other person that is scheduled earns
$10.50 per hour and averages $60 per day
for commision.
i) Write a function that predicts your
expected payroll for the day.
+12
ii) Next Wednesday the store is going to
be open for 5 hours. How much do you
expect to pay your employees?
(i) The function that predicts your expected payroll for the day is,
For first person; y = $50 + $10.50x
For second person; y = $60 + $10.50x
Where, y is total amount and x is number of working hours.
(ii) In Wednesday; The amount expect to pay your employees is,
For first person;
⇒ y = $102.50
For second person;
⇒ y = $112.50
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The first employee scheduled to work next Wednesday makes $10.50 per hour and averages $50 per day for commission.
And, The other person that is scheduled earns $10.50 per hour and averages $60 per day for commission.
Let total amount earn = y
And, Number of working hours = x
Hence, We can formulate;
The function that predicts your expected payroll for the day is,
For first person;
⇒ y = $50 + $10.50x
For second person;
⇒ y = $60 + $10.50x
And, For 5 hours, the amount is,
For first person;
⇒ y = $50 + $10.50x
⇒ y = 50 + 10.50 × 5
⇒ y = 50 + 52.50
⇒ y = $102.50
For second person;
⇒ y = $60 + $10.50x
⇒ y = 60 + 10.50 × 5
⇒ y = 60 + 52.50
⇒ y = $112.50
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Find the area of each part of the figure and the whole figure
1) The area of the first figure is 99 square units, 2) Total area = Area of rectangle + Area of triangle = 30 + 6 = 36 square units, 3) Total area = Area of rectangle + Area of triangle = 13.5 + 10.5 = 24 square units.
i) The first figure is a trapezium with height 9 units, bottom base 9 units and top base 13 units.
To find the area of the trapezium, we can use the formula:
Area of trapezium = h/2[a + b]
where h is the height, a and b are the lengths of the parallel sides.
Substituting the given values, we get:
Area = 9/2[13 + 9] = (9 x 22)/2 = 99 square units
Therefore, the area of the first figure is 99 square units.
ii) The second figure is composed of a rectangle with sides 6 and 5 units and a right-angled triangle with base 3 and height 4 units.
To find the area of the rectangle, we can use the formula:
Area of rectangle = length x breadth
Substituting the given values, we get:
Area of rectangle = 6 x 5 = 30 square units
To find the area of the right-angled triangle, we can use the formula:
Area of right-angled triangle = 1/2 x base x height
Substituting the given values, we get:
Area of right-angled triangle = 1/2 x 3 x 4 = 6 square units
Therefore, the total area of the second figure is:
Total area = Area of rectangle + Area of triangle
= 30 + 6 = 36 square units
iii) The third figure is made up of a rectangle with length 9 and breadth 1.5 units and a right-angled triangle with base 6 (9-3) and height 3.5 (5-1.5) units.
To find the area of the rectangle, we can use the formula:
Area of rectangle = length x breadth
Substituting the given values, we get:
Area of rectangle = 9 x 1.5 = 13.5 square units
To find the area of the right-angled triangle, we can use the formula:
Area of right-angled triangle = 1/2 x base x height
Substituting the given values, we get:
Area of right-angled triangle = 1/2 x 6 x 3.5 = 10.5 square units
Therefore, the total area of the third figure is:
Total area = Area of rectangle + Area of triangle
= 13.5 + 10.5 = 24 square units
Thus, the areas of all three figures have been determined.
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Complete question is in the image provided.
A certain number is multiplied by 4 and the results equals 8 less than 8 times of the number. Find the number
The number is 2. To find the unknown number that satisfies the equation "4x = 8x - 8," we can simplify and solve for x, which gives us the answer x = 2.
Let's call the unknown number "x".
According to the problem statement, "A certain number is multiplied by 4 and the result equals 8 less than 8 times of the number" can be translated into the following equation:
4x = 8x - 8
Simplifying this equation, we can move 4x to the right side of the equation:
4x - 8x = -8
Simplifying further, we get:
-4x = -8
Dividing both sides by -4, we find:
x = 2
Therefore, the number is 2.
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What is the percent increase from 70 to 100?
Answer:
30%
Step-by-step explanation:
100-70=30
A composite figure is shown.
A five-sided figure with two parallel sides. The shorter one is 18 centimeters. The height of the figure is 12 centimeters. The portion from the vertex to the perpendicular height is 4 centimeters. The portion from a point to a vertical line created by two vertices is 3 centimeters.
Which of the following represents the total area of the figure?
222cm
240cm
258cm
294cm
Answer:
258cm
it is the vertex's hieght as well as the length of the sides to multiply together and also divide since there is 5 sides
Select the correct answer. A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2. Which graph matches the description?
A. A parabola declines through (negative 0 point 2, 5), (0, 4), (0 point 5, 2), (1, 1) and (2, 0) and rises through (3, 1), (4, 4) and (4 point 5, 6) on the x y coordinate plane.
B. A parabola declines through (negative 4, 4), (negative 3, 1), (negative 2, 0) and rises through (negative 1, 1), (0, 4) and (0 point 2, negative 5) on the x y coordinate plane. C. A curve declines through (negative 6,1) and (negative 4, 0) and rises through (negative 2, 1), (negative 1, 2), (0, 4) and (0 point 5, 5) on the x y coordinate plane. D. A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.
The correct option for a parabola with given details is D i.e. A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.
What exactly is a parabola?
A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).
In general, if the directrix is parallel to the y-axis, the typical parabola equation is: y² = 4ax.
If the parabola is sideways, i.e., the directrix is parallel to the x-axis, the conventional parabola equation is x² = 4ay.
Aside from these two, if the parabola is in the negative quadrants, the equation can also be y²= -4ax and x² = -4ay.
Now,
The Graph is drawn for option D in the image and it matches the
details provided in the question.
Hence,
The correct option for a parabola with given details is A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.
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What type of problem is "What number multiplied by the expression of 5 x 10^3 is equivalent to the expression 5 x 10^6?"
Not asking for a solution, just wondering what kind of problem it is
We can solve steps in expressions with many operations in accordance with the order of operations. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. The fourth rule is that we always add and subtract from left to right.
Use the acronyms PEMDAS or BODMAS to determine the sequence of operations. PEMDAS: Parentheses ⇒ (3+4)
Exponents ⇒ 3², Multiply ⇒ 8*4, Divide ⇒ 12÷4, Add ⇒ 6+6, Subtract ⇒ 10-5. BODMAS: Brackets, Order, Divide, Multiply, Add, Subtract .A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Using PEMDAS, we can retain the following order: Exponents, parentheses, addition, subtraction, multiplication, and division (from left to right) Parentheses, exponents, multiplication, division, addition, and subtraction are the orders in which operations must be performed, according to the order of operations. Both BODMAS and PEMDAS are valid and in use in various parts of the globe.
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Please give a step to step explanation
Answer:
sin(35)
Step-by-step explanation:
Because of the co-function identity [tex]\cos(\theta)=\sin(90^\circ-\theta)[/tex], then [tex]\cos(55^\circ)=\sin(90^\circ-55^\circ)=\sin(35^\circ)[/tex].
The sharks are fed three times a day. During the morning feeding, 2/15 of a ton of fish is fed. During the afternoon feeding the weight of the fish fed will be 1/15 of a ton more than the fish fed during the morning. if the total weight of the fish fed in a day is 1/2 of a ton, how much is fed during the feeding at night?
The shark is fed during the feeding at night is 1/6 tons.
What is a proper fraction?
A proper fraction is one that doesn't contain any whole numbers and has a smaller numerator than a denominator. A fraction that represents a number greater than one and has a larger numerator than the denominator is said to be improper.
Given that during the morning feeding, 2/15 of a ton of fish is fed. During the afternoon feeding the weight of the fish fed will be 1/15 of a ton more than the fish fed during the morning.
The shark fed (2/15 + 1/15) ton during the afternoon.
Assume that the shark fed x tons at night.
Therefore, the total fed is 2/15 + (2/15 + 1/15) + x
The equation is:
2/15 + (2/15 + 1/15) + x = 1/2
Add like terms:
5/15 + x = 1/2
1/3 + x = 1/2
Subtract 1/3 from both sides:
x = 1/2 - 1/3
x = (3-2)/6
x = 1/6
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Which rate is greater
1,080 labels on 90 sheets 2,250 labels on 150 sheets
Answer: There would be a higher rate on the 2250 labels on 150 sheets.
Step-by-step explanation:
1080/90 = 12
2250/150 = 15
There would be a higher rate on the 2250 labels on 150 sheets.
what is the difference between assignment and equality? during assignment, the result of the calculation on the right side of an equals sign is assigned to a variable on the left of the equals sign. equality is a logical test that evaluates whether two values are equivalent. assignment is a logical test that evaluates if two values are equivalent. during equality, the result of the calculation on the right side of an equals sign is set to a variable on the left of the equals sign. assignment and equality perform the same action. none of the above
During assignment, the result of the calculation on the right side of an equals sign is assigned to a variable on the left of the equals sign. Where as, equality is a logical test that evaluates whether two values are equivalent.
In the given question, the first option is correct among the four.
An assignment operator assigns the result of the calculation on the right side of an equals sign to a variable on the left of the equals sign. It is indicated by ' = '.
Example: s = 4 + years, then the operator assigns the value of the sum of 4 and years to the variable s.
On the other hand, equality is a logical test that evaluates whether two values are equivalent or not. It is indicated by ' == '. The results obtained by this operator is either true or false.
Example: If f == s, it checks whether the value stored in f equals the value stored in s. If they are equal it returns output as true else false.
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A principal of $900 was invested at 2.5% interest, compounded annually. Let t be the number of years since the start of the investment. Let y be the value of the investment in dollars. Write an exponential function showing the relationship between y and t.
Group of answer choices
Answer: 900 x (2.5 x t) = y
900 hundred dollars originally invested, times the number of years multiplied by the yearly interest rate, equals Y, or the amount of the investment in dollars.
I hope this helps & good luck <3 !!!
Find the probability of drawing a face card and then drawing the king of diamonds
without replacement.
Answer:
Step-by-step explanation:
the probability of drawing a face card=12/52
drawing the king of diamonds=1/52
Answer:
Probability of face is 12/52
2v+12≥16 need help pls give 30 points
The method for addressing inequality 2v + 12 ≥ 16 is v ≥ 2. This indicates that any value of v larger than or equal to 2 will fulfil the inequality.
What is meant by inequality?The idea of inequality—the state of not being equal, particularly in status, rights, and opportunities1—is one that is central to social justice theories. However, because it frequently has diverse meanings to different people, it can become confusing in public discourse.
What kind of mathematical inequality is this, specifically?The equation-like appearance of the phrase 5x 4 > 2x + 3 is altered by the arrowhead in place of the equals sign. It serves as an illustration of inequity. This shows that the section on the left, 5x 4, is bigger than the part on the right.
Subtract 12 from both sides of the inequality:
2v + 12 - 12 ≥ 16 - 12
Simplifying, we get:
2v ≥ 4
Divide both sides of the inequality by 2:
2v/2 ≥ 4/2
Simplifying, we get:
v ≥ 2.
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If student 1 had 147 likes and student 2 had 42 did student 2 have a higher or lower percentage of likes than student 1 ?
Student 2 has lower percentage of likes as compare to student 1 ,it is equal to 71.5%.
Number of likes of student 1 is equal to 147
Number of likes of student 2 is equal to 42
147 > 42
⇒Number of likes of student 1 is greater than student 2
Difference between number of likes
= 147 - 42
= 105
Percentage difference = ( 105 / 147 ) × 100
= 71.5%
Student 2 has 71.5% lower percentage of likes than student 1
Therefore, student 2 has lower percentage of likes than student 1 which is equal to 71.5%.
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What does it mean when someone writes (n k) or n choose k?
"Choose" means "select". Finding the number of possible methods to choose k items out of n items is done using the "n choose k formula."
What is n Choose k Formula?C (n, k) represents "n select k" (or) [tex]_n C_k[/tex] (or) (n k) . A binomial coefficient is another name for it. It is used to determine how many different ways there are to choose k distinct items from n distinct items.
The combination formula is another name for the n select k formula (as we call a way of choosing things to be a combination). Factorials are used in this formula.
The n Choose k Formula is:
C (n , k) = n! / [ (n-k)! k! ]
"Choose" means "select". Finding the number of possible methods to choose k items out of n items is done using the "n choose k formula." We occasionally prefer choosing than ordering things.
When preparing for a trip, for instance, you decide to bring five of your ten brand-new clothes. There are several ways you can achieve this; it doesn't matter what sequence you choose them in, but it does matter which dresses you picked.
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1. The distance d through which a stone falls from rest is proportional
to the square of the time taken t. If the stone falls 45 m in 3 seconds,
how far will it fall in 6 seconds? How long will it take to fall 20 m?
Answer:
In 6 seconds: 180 m
20 m: in 2 seconds
Step-by-step explanation:
y = distance
x = time
y is proportional to x:
y = kx
y is proportional to the square of x:
y = kx²
We are given: (3, 45)
45 = k × 3²
45 = 9k
k = 5
The equation is:
y = 5x²
When x = 6,
y = 5(6²)
y = 180
180 m in 6 seconds
When y = 20,
20 = 5x²
x² = 4
x = 2
2 seconds for 20 m