The price for the Suite room for check-in on Friday and Saturday is given as follows:
$278.75.
How to obtain the price for the room?The price for the room is obtained applying the proportions in the context of this problem.
The price for the room on the period from Sunday until Thursday is given as follows
$223.
The price for the room on Friday and Saturday is 25% higher than from Sunday until Thursday, hence the price is given as follows:
1.25 x 223 = $278.75.
(as an increase of 25% is equivalent to a proportion of 1.25).
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Need help on this asap
The Total surface area of a pyramid formula = ½ pl + B, Where 'p' is the perimeter of the base and 'l' is the slant height of the pyramid and B is the area of the base.
What is the formula for volume of pyramids?A pyramid's volume can be calculated by multiplying the base area by the height, then dividing the result by three. The formula V=13Bh, where B is the area of the pyramid's base and h is its height, is used to express this product.
A triangular pyramid, for instance, has a base area of 20 cm2 and a height of 9 cm. The formula V = (1/3) Bh, where "B" stands for the base area and "h" for the height of the pyramid, is used to calculate the volume of a pyramid.
We can use the formulas for the area of polygons to calculate "B" because we know that the base of a pyramid can be any polygon. A pyramid with a triangle base is referred to as a triangular pyramid.
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The value of x is 2, when the volume of pyramid is 125 cm³ which is equal to [tex]\mathrm{5^{\tfrac{x}{6}} }[/tex].
What is the formula for volume of pyramids?A pyramid's volume can be calculated by multiplying the base area by the height, then dividing the result by three. The formula V=1/3Bh, where B is the area of the pyramid's base and h is its height, is used to express this product.
We know that pyramid's volume is
[tex]\mathrm{{\textstyle V={\tfrac {1}{3}}Bh}}[/tex]
B = base area = [tex]25^{1/4} \times25^{1/4}[/tex]
= [tex]\sqrt[4]{25} \times \sqrt[4]{25}[/tex]
= [tex]\sqrt[4]{25}^2[/tex]
= [tex]\sqrt[2]{25}[/tex]
= 5 cm²
and
h = 75 cm
[tex]$\mathrm{{\textstyle V={\dfrac {1}{3}} \times5 \times 75}}[/tex]
V = 125 cm³
Now it is given that [tex]\mathrm{5^{\tfrac{x}{6}} = 125 }[/tex]
So,
[tex]\mathrm{5^{\tfrac{x}{6}} = 125 }[/tex]
[tex]\mathrm{5^{\tfrac{x}{6}} = \sqrt[3]{5} }[/tex]
[tex]\mathrm{5^{\tfrac{x}{6}} = 5^{\tfrac{1}{3}} }[/tex]
[tex]\dfrac{x}{6} = \dfrac{1}{3}[/tex]
3x = 6
x = 6/3
x = 2
Thus, the value of x is 2, when the volume of pyramid is 125 cm³ which is equal to [tex]\mathrm{5^{\tfrac{x}{6}} }[/tex].
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Please please look at the picture and answer the question thank you for your help
Answer:
20 for both
Step-by-step explanation:
hope this helps
consider a sample with data values of 10, 20,12 ,17 , and 16 . round your answers to the nearest whole number
16 is Median a sample with data values .
What is the mathematical median?
The middle number, or median, is obtained by sorting all of the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers).
Example: Because the number 4 is in the middle when the numbers are ordered (1, 4, 7), it is the median of 4, 1, and 7.
Mean = Total of values/ Total number of observations
Total of values = 10+20+12+17+16 = 75
Total number of observations = 5
Mean = 75/5 = 15
Median:
Arrange in ascending order = 10, 12,16,17,20
Median = [n+1] / 2
N = number of observation = 5
Median = [5+1]/2 = 3rd observation
Median = 16
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a survey has to be taken to estimate the proportion of voters who favored stem cell research among the
The proportion of voters who favor stem cell research can be estimated by taking a survey and calculating (Number of voters who favor stem cell research / Total Number of voters) x 100.
Proportion of favor stem cell research = (Number of voters who favor stem cell research / Total Number of voters) x 100
In order to estimate the proportion of voters who favor stem cell research, a survey has to be taken. Suppose the survey results indicate that out of a total of 500 voters, 300 of them favor stem cell research. Then, the proportion of favor stem cell research would be calculated as follows: Proportion of favor stem cell research = (300/500) x 100 = 60%. This means that 60% of the total voters favor stem cell research.
The proportion of voters who favor stem cell research can be estimated by taking a survey and calculating (Number of voters who favor stem cell research / +++Total Number of voters) x 100.
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water is flowing into a tank at a rate of r(t) where t is measured in seconds. is there ever a time where the r'(t)
Time intervals that t will occur using the mean value theorem of calculus are (4,5) and (5,6)
What is mean value theorem ?
The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f'(c) is equal to the function's average rate of change over [a,b].
The property of derivative : r'(t) is the rate of change of water flow.
Justification :
r(s) - r(4) = r'(3) (5-4)
- 5 = r(3)
In (4,5) , r(t) decreasing , so there are value of 3 and r'(3) > 0 , r'(3) = -5.
r(6) - r(5) = r'(3) (6-5)
4 = r'(3)
In (5,6), r(t) increasing , so there are values of 3 and r'(3) > 0, r'(3) = 4.
∴ Time intervals that t will occur using the mean value theorem of calculus are (4,5) and (5,6)
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The complete question is :
Water is flowing into a tank at a rate of r(t) where t is measured in seconds. Is there ever a time where the r'(t) = 0? If so, what time interval does t occur in? Justify your answer using the Mean Value Theorem.
HELP!!
In the figure below, TW and TU are tangent to the circle centered at O. The segment WU passes through the center of the circle. Given that TW=17.4 and WU=12, find WV.
Answer:
WU=4.8
Step-by-step explanation:
put it in the box WU =4.8
the supplement of an angle is one third of the measure of the angle. find the angle and its supplement
As a result, the angle's measure is 135° and its supplement is 45°.
What is the supplement angle?Two angles are referred to as supplementary angles when the sum of their measures is 180 degrees.
For instance, 70 degrees and 110 degrees complement one another.
Two angles are said to be supplementary if their sums total 180 degrees.
A linear pair's two angles, are always supplementary.
Let x be the angle's measurement. If so, (180x) is the size of its supplementary angle.
Now, calculate:
180 - x = 1/3x
3(180 - x) = x
4x = 540
x = 135
Supplementary angle = 180 - 135 = 45°
Therefore, as a result, the angle's measure is 135° and its supplement is 45°.
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A dealer in the Sands Casino in Las Vegas selects 40 cards from a standard deck of 52 cards. Let Y be the number of red cards (hearts or diamonds) in the 40 cards selected. Which of the following is best describes this setting?
a. Y has a binomial distribution with n= 40 observations and probability of success p= 0.5.
b. Y has a binomial distribution with n=40 observations and probability of success p=0.5, provided the deck is shuffled well.
c. Y has a binomial distribution with n=40 observations and probability of success p=0.5, provided that after selecting a card it is replaced in the deck and the deck is shuffled well before the next card is selected.
d. None of these.
Answer:
c. Y has a binomial distribution with n=40 observations and probability of success p=0.5, provided that after selecting a card it is replaced in the deck and the deck is shuffled well before the next card is selected.
Step-by-step explanation:
if wrong pls tell
Which of the following is the correct conversion factor (as written) required to convert a distance of 12 mi to feet, if 1 mi= 5280 ft ?A. 1 mi x 5280 ftB. 5280 ft / 1 miC. 1 mi / 5280 ft
The correct conversion factor is B: 5280 ft / 1 mi.
Option (B) is correct.
What is unit conversion?
Unit conversion is the process of changing a measurement from one unit to another. For example, converting meters to feet, or kilometers to miles. In order to convert from one unit to another, you need to know the conversion factor between the units, which is the ratio of equivalent values in the two units.
When converting a distance in miles to feet, you need to multiply the distance in miles by the number of feet in a mile. The conversion factor that is commonly used to convert miles to feet is 1 mi = 5280 ft.
The correct conversion factor to convert a distance of 12 mi to feet is therefore:
12 mi x (5280 ft / 1 mi) = 12 x 5280 ft
Hence, the correct conversion factor is B: 5280 ft / 1 mi.
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What does a high graduation rate suggest about a university or college?
The melting point of an unknown solid is determined to be 42.0°C. What is this temperature on the
Fahrenheit and Kelvin scales?
°F
K
The temperature on the Fahrenheit scale is 107.6°F and Kelvin scale is 315.15K. The solution has been obtained by unit conversion.
What is unit conversion?
The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, instead of using hours to represent time, you might use minutes, or you could use feet instead of miles to express distance. Measurements are frequently offered in one set of units, like feet, but are required in another set, like chains.
We are given the melting point of an unknown solid to be 42.0°C.
For converting the given temperature in Fahrenheit, we use the given formula:
⇒(Temperature in Celsius × 9/5) + 32 = Temperature in Fahrenheit
So,
⇒(42°C × 9/5) + 32 = x°F
⇒(42°C × 9/5) + 32 = 107.6°F
Now, for converting the given temperature in Kelvin, we use the given formula:
⇒Temperature in Celsius + 273.15 = Temperature in Kelvin
This is because 0°C = 273.15 K
So, 42°C + 273.15 = 315.15K
Hence, the temperature on the Fahrenheit scale is 107.6°F and Kelvin scale is 315.15K.
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84.7/14 I don't know ow how to do 84.7/14 without any reminders so please help
The value of the expression 84.7 divided by 14 will be 6.05.
How to calculate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.
In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
The value of the expression 84.7 divided by 14 will be:
= 84.7 / 14
= 6.05
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solve the quadratic equation by completing the square x^2+8x+6=0 first choose the appropriate form and fill in the blanks with the correct numbers then solve the equation
By completing squares we will see that the solutions of the quadratic equations is:
x = -4 ± √10
How to solve the quadratic equation?Here we want to solve the quadratic equation:
x^2 + 8x + 6 = 0
Remember the perfect square trinomial:
(a + b)^2 = a^2 + 2ab + b^2
We can rewrite the quadratic equation as:
x^2 + 2*4x + 6 = 0
To complete squares we need to add 4^2 = 16 in both sides, then we will get:
x^2 + 2*4x + 16 + 6 = 16
(x + 4)^2 + 6 = 16
(x + 4)^2 = 16 - 6
(x + 4)^2 = 10
x = -4 ± √10
That is the solution.
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Question 10
Here is a figure made of a circle inscribed in a square.
36 m
(a circle within
a square)
What is the area of the shaded region?
(You may round answer to a whole number)
The area of shaded region from the given figure is 278.64 when the diameter of the circle is 36m.
What is area of circle ?
area of circle can be defined as the product of pi and square of radius
and here the value of pi is 22/7 or 3.14
Given in the figure,
a circle is within square with diameter 36m .
So, we have to find the
area of a shaded region = area of square - area of circle .
radius = d/2
radius = 36/2
radius = 18 .
= 36*36 - 3.14 * 18*18
= 1296 - 1017.36
= 278.64
Hence, The area of shaded region from the given figure is 278.64 when the diameter of the circle is 36m.
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Greg purchased a baseball bat at a 20% discount. The original cost of the bat was $95. How much will Greg pay for the bat if there is a 6% sales tax?
Answer:
$80.56
Step-by-step explanation:
First determine the cost of the bat after the discount.
20% of 95 = .20x 95 = 19
95-19= $76
Next, you will calculate the additional cost of sales tax.
Sales tax rate = Sales tax percent / 100 (6/100) = .06
Sales tax = List price x Sales tax rate (76 x .06) = 4.56
Total tax equals $4.56
76+4.56= $80.56
A researcher plans to use a random sample of n=500 families to estimate the mean monthly family income for a large population. A 99% confidence interval based on the sample would be ______ than a 90% confidence interval. (a) narrower and would involve a larger risk of being incorrect, (b) wider and would involve a smaller risk of being incorrect, (c) narrower and would involve a smaller risk of being incorrect, (d) wider and would involve a larger risk of being incorrect, (e) wider, but it cannot be determined whether the risk of being incorrect would be larger or smaller.
A researcher plans to use a random sample of n = 500 families to estimate the mean monthly family income for large population. A 99% confidence interval based on the sample would be wider and would involve a smaller risk of being incorrect than a 90$ confidence interval.
What is random sample?A simple random sample is a subset of people selected at random from a larger group of people, all with the same probability, in statistics. This procedure involves choosing a sample at random. A simple random sample is a population subset that has been chosen at random. This sampling technique minimizes the possibility of selection bias by giving every member of the population an exact equal probability of being chosen. The use of random sampling assures that the results of your study should be close to those that would have been obtained from measurements of the complete population (Shadish et al., 2002). The most basic random sample gives every unit in the population an equal probability of being chosen.The mean monthly family income for a sizable population will be calculated using a researcher's random sample of n = 500 families. An interval with a 99% confidence level based on the sample would be larger and carry a lower risk of error than one with a 90% confidence level.To learn more about random sample refer to:
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construct an argument determine whether each statement is sometimes, always, or never true. justify your argument. the opposite angles of an isosceles trapezoid are supplementary.
The opposite angles of an isosceles trapezoid are always supplementary due to the diagonals of the trapezoid bisecting each other and forming supplementary angles
The opposite angles of an isosceles trapezoid are always supplementary due to the diagonals of the trapezoid bisecting each other and forming supplementary angles.
Always true. The opposite angles of an isosceles trapezoid are supplementary because the diagonals of an isosceles trapezoid bisect each other. Therefore, the angles formed by the intersection of the diagonals are supplementary, since the sum of two supplementary angles is 180 degrees.
The opposite angles of an isosceles trapezoid are always supplementary due to the diagonals of the trapezoid bisecting each other and forming supplementary angles.
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table 2.6 shows the average hourly compensation of production workers in manufacturing for several years. let x be the number of years since 1970, so that x
The formula for the average hourly compensation of production workers in manufacturing is C = 40.25x + $6.81.
For example, in 1975 (x = 5), the average hourly compensation of production workers in manufacturing was calculated using the formula as follows:
C = 40.25(5) + $6.81
C = $202.81
Therefore, the average hourly compensation of production workers in manufacturing in 1975 was $202.81. The same formula can be used to calculate the average hourly compensation of production workers in manufacturing for any year since 1970.
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Richard opened an account in Trust Bank. The equation R=350(1+0.025)" can be used to calculate the amount of money in the account, with 'n' representing the number of years. He also opened another account in Value Savings Bank, with the equation Q=350(1+0.03)" representing the amount of money. What are the interest rates in percent?
The interest rate of the bank R is 2.5% and interest rate of the bank Q is 3%.
What is compound interest?
Compound interest is calculated on the principal as well as the interest accumulated over the previous period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following period.
Here the given equation represents the amount in compound interest.
Using compound interest formula then
=> A = P[tex](1+\frac{R}{100})^n[/tex]
According to the question the equation for trust bank is
=> R =350 [tex](1+0.025)^n[/tex]
comparing with compound interest formula then
=> [tex]\frac{R}{100}= 0.025[/tex]
=> R = 0.025× 100 =2.5%
Now the equation of other bank is
=> Q = 350[tex](1+0.03)^n[/tex]
Comparing with compound interest formula then
=> [tex]\frac{R}{100}= 0.03[/tex]
=> R = 0.03×100 = 3%
Hence the interest rate of the bank R is 2.5% and interest rate of the bank Q is 3%.
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3
=
Find the width of floor space covered by 38 boards with 7 3/4-in. exposed surface each.
Answer: The width of the floor space covered by 38 boards with 7 3/4-in exposed surface each is 298 inches.
To find this, you would multiply the number of boards (38) by the width of the exposed surface of each board (7 3/4 inches).
38 x 7.75 = 298 inches.
Step-by-step explanation:
A garden is rectangular with a width of 7 feet in a length of 9 feet. If it's surrounded by a walkway, 2 feet wide, how many square feet of area does a walkway cover?
PLEASE HELP!!!
The walkway encircling the garden has a 64-square-foot area.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given, A garden is rectangular with a width of 7 feet in a length of 9 feet.
From the general formula of Area:
Area = Length * width
Area of garden = 7 * 9
Area of garden = 63 Square feet
Perimeter of garden = 2(length * width)
Perimeter of garden = 2(7 + 9)
Perimeter of garden = 32
Since a 2 feet wide rectangular sidewalk is made surrounded the garden So, the area of the walkway will be
Area of walkway = perimeter * width
Area of walkway = 32 * 2 = 64
Therefore, the area of the walkway surrounding the garden is 64 square feet.
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which of the following are not corresponding parts of the congruent triangles? line segment cap a cap b is congruent to line segment cap c cap d d. $\angle a\cong\angle c$ d., , $\angle a\cong\angle c$ question 2 two triangles, triangle a b e and triangle cde. segments b d and a c intersect at point e to form one vertex and two sides of each triangle. b e is congruent to d e. a e is congruent to c e.
Line segment AB is congruent to line segment CD, ∠A ≡ ∠C, BE is congruent to DE and AE is congruent to CE in triangle ABE and triangle CDE. So all the first four options are corresponding parts of the two congruent triangles.
Therefore, the answer is e. None of the above.
Corresponding parts of congruent triangles are any pair of matching or identical elements in two congruent triangles. These can include:
Sides, such as line segment AB being congruent to line segment CD
Angles, such as ∠A being congruent to ∠C
Vertices, such as point E being the intersection of segments BD and AC in both triangles
Any other element that is identical in both triangles, like height, medians, circumcenters, etc.
In triangle ABE ≡ triangle CDE, congruent sides are
AB ≡ CD
BE ≡ DE
AE ≡ CE
Congruent angles are
∠A and ∠C
∠B and ∠D
∠BEA and ∠DEC
--The question is not readable, answering to the question below--
"Which of the following are not corresponding parts of the congruent triangles, triangle ABE and triangle CDE? Segments BD and AC intersect at point E to form one vertex and two sides of each triangle.
a. line segment AB is congruent to line segment CD
b. ∠A ≡ ∠C
c. BE is congruent to DE
d. AE is congruent to CE
e. None of the above"
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Dimensional Analysis help. i don’t even know where to start
R13 fiberglass batt insulation, typically used in walls and floors, is 3 5/8 inches thick, according to Energy.gov.
How can you figure out how much insulation you need?To determine the number of insulation batts required, first determine the area to be insulated in square meters (m2). Calculating the square metre (m2) area of your walls is actually fairly simple; simply multiply the length by the breadth.
To assess the cost of cellulose insulation for your project, first decide how much insulation you would require. To do so, divide the square footage of the space by the depth or the desired R-value. R-25 EcoTouch insulation is designed to fit snugly between outside wall wood studs. After installing cover material on one side of the cavity, friction-fit unfaced insulation between studs.
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Write an equation in the form y = a(x-r)(x-s) to represent the parabola shown.
Answer:
c
Step-by-step explanation:
because y = 0 when x = 2 and y = -4 when x =0
Let Fx = 2X^2 - 6x + 4 and g(x) 4 cos 1/4 Let R be the region bounded by the graphs of f and g, as shown in the figure above.(a) Find the area of R.(b) Write, but do not evaluate, an integral expression that gives the volume of the solid generated when R is rotated about the horizontal line y 4.(c) The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a square. Write, but do not evaluate, an integral expression that gives the volume of the solid.
The area of R can be calculated using the definite integral of the function y = 2x^2 -6x +4 and between g(x ) = cos1/4 and x = 4.
The integral expression is ∫(2x^2)-6x+4dx = ∫e^u du = e^u + C = e^(2x-x^2) + C. Evaluating the integral between x = 0 and x = 1 gives the area of R as e^2 - 1.
(b) The area of S can be calculated using the definite integral of the function y = e^(2x-x^2) between x = 0 and x = 1, minus the integral of the function y = 1 between x = 0 and x = 1. The integral expression for S is ∫e^(2x-x^2)dx - ∫1dx = ∫e^u du - x = e^u + C - x = e^(2x-x^2) + C - x. Evaluating the integral between x = 0 and x = 1 gives the area of S as e^2 - 1 - 1.
(c) The volume of the solid generated when R is rotated about the horizontal line y = 1 can be found using the integral expression ∫2πx(e^(2x-x^2) - 1)dx. This expression represents the area of the circular cross-sections of the solid multiplied by 2πx, which is the circumference of the circle. When evaluated between x = 0 and x = 1, this integral gives the volume of the solid generated when R is rotated about the horizontal line y = 1.
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Points B, D, and J are midpoints of the sides of right triangle ACG. Points K, E, I are midpoints of the sides of triangle J DG, etc. If the dividing and shading process is done 100 times (the first three are shown) and AC=CG=6, then the total area of the shaded triangles is nearestA. 6B. 7C. 8D. 10
The area of the shaded triangles is nearest to 10
The total area of the shaded triangles can be calculated using the following equation:
[tex]Total Area = (AC∧2)÷2 × (2∧n)[/tex]
Where AC is the length of the original triangle's hypotenuse and n is the number of iterations.
Given that AC = 6 and n = 100, the equation becomes
[tex]Total Area = (6^2)/2 × (2^100)[/tex]
Total Area = 18 × (2^100)
Total Area = 18 × 1.26 x 10^31
Total Area ≈ 10
Therefore, the total area of the shaded triangles is nearest to 10
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The gate code at your apartment complex is three numerical digits followed by the "#"sign. If each code
contains non-repeating digits, how many possible gate codes does your apartment complex have?
In given word problem the possibility for 3 non repeating digits followed by # sign is 720 ways.
What is word problem?
Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.
Here the gate code at your apartment complex is three numerical digits followed by the "#"sign.
There are 10 digits (0 to 9)
Compute the number of possible gate codes if each code contains non repeating digits as follows,
The first 3 place in the code must be filled by three non-repeating digits.
So, there are 10 possibility for first digit and 9 possibility for second digit and 8 possibility for third digit.
Hence the 3 non repeating digits can occur un 10×9×8 ways.
The three non repeating digit followed by #. Then sign # can occur in only way, then,
Total possibility = 10×9×8×1 = 720 ways.
Hence the possibility for 3 non repeating digits followed by # sign is 720 ways.
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Rewrite (2+3) + 4 using the Associative Law of Addition
Answer:
9
Step-by-step explanation:
25 people gathered to watch a baseball game while talking they realized that 5 of them were New York Mets fans what is the probability that the favorite team of a randomly selected person in the group is the New York mets
The probability that the favorite team of a randomly selected person in the group is the New York Mets is 1 / 5.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of samples
Given that 25 people gathered to watch a baseball game while talking they realized that 5 of them were New York Mets fans.
The probability will be calculated as:-
Probability = 5 / 25
Probability = 1 / 5
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*THE ANSWER IS A* 1.5.3 Test (CST): Polynomials Question 25 of 25 Which of these is a binomial? O A. 2x³-7y³ O B. 5xy C. x+2y²-7 O D. ab
Step-by-step explanation:
The correct option is A
Because,
A Binomial is defined as a polynomial containing 2 terms in it.
In option c there are three terms they are x, 2[tex]y^{2}[/tex], -7
In option A There are only two terms That satisfy the definition of binomial.
