The probability that each player receives an ace is: 0.1055
let us consider they are 52 open spots in a row. We should divide the cards by placing them on these spots. This is the understanding that the cards on spots 1,2,…, and 13 are for a player, and the cards on spots 14,15,…, and 26 are for another player.
Then there are 134 ways to place the aces in such a way that each player will get an ace. This is the understanding that we do not discern suits. Next to that, there are 524 ways in total to place the aces.
So the probability that each player receives an ace is:
134(524)=28561270725=219720825≈0.1055
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HELP pls will mark you the brainliest. Please show your work too.
Answer:
Below
Step-by-step explanation:
y = 1/2 x + 1
y = 3/2x + 4 Use first equation to sub in for y
1/2 x + 1 = 3/2 x + 4
-3 = x then use this value in one of the equations to calc y
y = 1/2 x + 1
y = 1/2 (-3) + 1 = - 1/2
1.
Crystal is planning a birthday party. It will cost A dollars per person p.
There is a charge B for the room. The tax is 9%, and the tip for the party
hostess is 10% of the total bill, including tax. Sort the expressions into the
appropriate bins by whether they represent the total bill or not. 7.EE.2
(Ap+B)(0.09)(0.10)
(Ap+B)(1.09) (1.1)
(A + Bp)(1.09) (1.1)
Represents Total Bill
(Ap + B)(1.09)
Ap(1.09)(1.1) + B(1.09)(1.1)
(A + B)(0.09)(0.1)
Does Not Represent Total Bill
The expression for the total bill is { (Ap + B) x 0.09 } x 0.10.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The cost per person p = $A.
Room charge = $B.
Tax = 9%.
Tip = 10% of the total bill, including tax.
Now,
Total bill.
= { (Ap + B) x 9% } x 10%
9% = 9/100 = 0.09
10% = 10/100 = 0.10%
So,
= { (Ap + B) x 0.09 } x 0.10
Thus,
The total bill is { (Ap + B) x 0.09 } x 0.10.
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Given the sequence defined by the explicit formula g(n)=15n + 35, write out the first four terms. Then create a recursive definition
The first four terms are 35, 50, 65, 80.
And the recursive formula:
aₙ = aₙ₋₁ + 15
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
The sequence defined by the explicit formula g(n)=15n + 35
The first term,
g(0) = 0 + 35 = 35.
g(1) = 15 + 35 = 50
g(2) = 30 + 35 = 65
g(3) = 45 + 35 = 80.
The common difference is 15.
The recursive formula:
aₙ = aₙ₋₁ + 15
Therefore, the formula is aₙ = aₙ₋₁ + 15.
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Please help ASAP!
In which quadrant is (−11, −21) located?
I
II
III
IV
Answer:
3rd quadrant
since the x and the y co-ordinates are negative ,it can only fit in the third since
1st=positive, positive
2nd=negative, positive
3rd=negative, negative
4th=positve, negative
Use the general slicing method to find the volume of the following solid
The solid with a semicircular base of radius 15 whose cross sections perpendicular to the base and parallel to the diameter are squares The volume of the solid is __ cubic units.
(Type an exact answer)
The volume of the solid is approximately 807.08 cubic units.
Volume of Semicircular Solid w/Squared Cross-SectionsTo determine the volume of the solid, we can use the method of cylindrical shells.
Imagine taking a slice of the solid parallel to the base, with the cross-sectional area being a square of side length x (where x is a function of the height). The volume of this slice is the product of the square area and the height. The height of the slice is equal to the difference in the radii of two consecutive circular cross sections.
The radius of the larger circular cross-section can be found using the Pythagorean theorem, which states that the square of the hypotenuse (the radius) is equal to the sum of the squares of the other two sides (the height and half the side length of the square). Thus, we have:
r² = x² + (15-x)²
Solving for x, we get:
x = 15 * √(1 - (r/15)²)
The volume of the slice is then given by:
V = x² * (15 - x)
To find the total volume of the solid, we integrate this expression with respect to r from 0 to 15. The result is approximately 807.08 cubic units.
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(can anyone please help with this) complete the equation describing how x and y are related
X -1,0,1,2,3,4,5
Y-2,3,8,13,18,23,28
y = [? ]x + []
The required equation of the line is y = 5x + 3.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the given table we have slope(m) = (3 + 2)/(0 + 1) = 5/1 = 5.
Now, - 2 = 5(-1) + b.
- 2 = - 5 + b.
b = 3.
Therefore, y = 5x + 3 is the required equation of the line.
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b. What is the area of the rectangle in square units? Explain how you found your answer.
3. Each is 1 square unit. Which rectangle has the largest area? How do you know?
Rectangle A
Rectangle C
Rectangle B
The solution is, Rectangle A has the largest area.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
here, we have,
from the given figure we get,
Each square is 1 square unit.
now, Rectangle A has 18 square
Rectangle C has 10 squares
Rectangle B has 8 squares
So, area of Rectangle A is 18 sq. unit
Rectangle C is 10 sq. unit
Rectangle B is 8 sq. unit
i.e. 18>10>8
Hence, Rectangle A has the largest area.
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suppose a stick of length 1 is broken into two pieces uniformly randomly. what is the expected length of the smaller piece?
Assume a stick of length 1 is randomly broken into two portions. The smaller piece's estimated length is 0.25.
The random variable L (the length for the shorter stick) has a uniform distribution.
Thus the probability density function for L is as follows:
L = [tex]\frac{1}{0.5-0} = 2[/tex]This means 2 for all length in the range 0 - 0.5
Now, we calculate the expected value for random variable L as seen on the attachment. Based on the calculation, 0.25 is the smaller piece's estimated length for the randomly broken stick.
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How is the sum expressed in sigma notation
Sigma notation for the sum is ∑5ⁿ⁻⁴ (where n = 1 to 5)
What is sigma notation?Sigma notation is the most easiest way of writing a very large sum of elements of a sequence in a simple manner.
∑ is the symbol that is pronounced as "sigma".
"i" or "n" is called the index of summation
Given sum,
1/125 + 1/25 + 1/5 + 1 + 5
First term a is 1/125
Common ratio r = 1/25/1/125 = 5
Sequence can be written as
aⁿ = a.rⁿ⁻¹
aⁿ = 1/125 . 5ⁿ⁻¹
aⁿ = 5⁻³. 5ⁿ⁻¹
aⁿ = 5ⁿ⁻⁴
Sigma notation can be written as
∑5ⁿ⁻⁴ where n = 1 to 5.
Hence, Sum expressed as Sigma notation ∑5ⁿ⁻⁴ (where n = 1 to 5).
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Graph the line with the equation y = 1/3x + 7
Answer:
I Don.t really know the answer
NEED HELP ASAP PLS! given the circle below. provide the following information.
-radius
-center
-equation
The features of the circle in this problem are given as follows:
Radius: 5 units.Center: (2,-1).Equation: (x - 2)² + (y + 1)² = 25.What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The center for this circle has the coordinates given as follows:
(2,-1).
The radius is the distance of any point on the circumference of the circle from the center, hence, tracing a horizontal line at y = -1, we have that:
r = 7 - 2
r = 5.
Hence the equation is given as follows:
(x - 2)² + (y + 1)² = 25.
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logan works as a chashier. today, he has given out 50% more nickels than dimes. if he has given out a tatal of 6.65 in nickels and dimes, how many dimes has he given out
If Logan has given out a total of 6.65 in nickels and dimes , then the number of dimes he has given out is 38 .
Let the number of nickels that Logan gave out be = n , and
the number of dimes that Logan gave out be = d ;
From the information , we know that Logan gave out 50% more nickels than dimes,
that means ; n = d + 0.5d = 1.5d ...equation(1) ;
We also know that the total amount given out in nickels and dimes is $6.65, and each nickel is worth of $0.05 and each dime is worth of $0.10,
So , n×0.05 + d×0.10 = 6.65 ;
Substituting the expression for n from the first equation into the second:
⇒ (1.5d)×0.05 + d×0.10 = 6.65 ;
Expanding and solving for d ;
we get ;
⇒ 0.075d + 0.10d = 6.65 ;
⇒ 0.175d = 6.65 ;
⇒ d = 6.65/0.175 = 38 ;
Therefore , Logan gave out 38 dimes.
The given question is incomplete , the complete question is
Logan works as a cashier. Today, he has given out 50% more nickels than dimes. if he has given out a total of 6.65 in nickels and dimes, How many dimes has he given out ?
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HELP pls will mark you the brainliest
Answer:
#9 (x, y) = (6, 32)
#10 The meaning of the solution is that if you buy 6 kites from either store, the total cost will be the same and is $32
Step-by-step explanation:
The legend is missing so by looking at the graph alone we are unable to determine which color line corresponds to which kind of kite(Kites-R-Fun or Windy Kites)
However the associated table will help us determine this
The linear equation for a line is expressed as
y = mx + c
where m = slope of the line and b = y-intercept which is the y-value for the point where the line crosses the y-axis(at x = 0)
Slope m = rise/run = Δy/Δx = (y2 - y1)/(x2 - x1) for any two points (x1, y1) and (x2, y2) on the line
Let's take the two x values as x1=0 and x2=1 and use the table
For Kites-R Fun
x1 = 0 ==> y1 = 8. This is also the y-intercept, b
We see that the red line corresponds to x = 0, y = 8
x2 = 1 ==> y2 = 12
y2 - y1 = rise = Δy =12 - 8 = 4
x2 - x1 = Δx = 1 - 0 =1
Slope m = 4/1 = 4
Equation of Kites-R Fun is 4x + 8
For Windy Kites
x1 = 0 ==> y1 = 20
y-intercept = 20 or b = 20
x2 = 1 ==> y2 = 22
Rise = Δy =22 - 20 = 2
Run = Δx = 1 - 0 = 1
Slope = m, b = 20
Equation of blue line is
y = 2x + 20
The two equations are:
y = 4x + 8
y = 2x + 20
Equating right sides:
4x + 8 = 2x + 20
Move 2x to the left side and 8 to the right side:
4x + 2x + 8 - 8 = 2x - 2x + 20 -8
2x = 12
x = 6
For x = 6 the costs are the same
Plugging x = 6into equation y = 4x + 8:
y = 4(6) + 8 = 24 + 8 = 32
So the solution set is
(6, 32)
Looking at the graph we see the two lines intersect at this point
(Heck, we could have avoided all this work and just looked at the graph but I don't expect that was what they intended. You can add this as a side note)
On the second part
For Kites-R-US, each kite costs $4
The meaning of the solution is that if you buy 6 kites from either store, the total cost will be the same.
A student simplifies (6b 4r) – (2b r) and says that the result is 4b 5r. explain the error and describe the correct steps to simplify the expression.
The student's answer is incorrect; they should have distributed the negative sign to the terms in the second parentheses, then combine like terms: 6b 4r - 2b r = 4b + 3r.
The student's answer is incorrect; they should have distributed the negative sign to the terms in the second parentheses. To correctly simplify the expression, first distribute the negative sign, then combine like terms. Start by distributing the negative sign: 6b 4r - 2b r = 6b 4r + (-2b) (-r). Then, combine like terms: 6b 4r + (-2b) (-r) = 6b + (-2b) + 4r + (-r) = 4b + 3r. This is the correct answer. It is important to note that when subtracting within parentheses, you must distribute the negative sign to each term. Once the negative sign has been distributed, you can then combine like terms. This method can be used to simplify any expression with parentheses and subtractions.
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what action changes the actual number of decimal places excel stores instead of just changing what is displayed? decrease decimal setting increase decimal setting round function decimal function
The correct answer is option (C). The answer is round function.
Given that,
Instead of just altering what is presented, Excel changes the amount of decimal places it really keeps.
To find : Something alters the real number of decimal places?
Number is rounded using ROUND function to a given number of digits. You can use the following formula, for instance, to round the value 23.7825 in cell A1 to two decimal places: =ROUND(A1,2) (A1,2) is 23.78 is the output of the function
Therefore, option is the right response (C). Round function is the solution.
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8grades, help please!!!
Answer: function A is linear
Step-by-step explanation:
what central angle (in radians) corresponds to an arc length of 2 yd and a radius of 7 yd? round to the nearest hundredth of a radian.
The central angle corresponds to an arc length of 2 yd and a radius of 7 yd is 0.09 pi
Central angle is the angle subtended by an arc of a circle at the center of a circle. The radius vectors form the arms of the central angle. In other words, it is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle. When these two points are joined they form an arc. Central angle is the angle subtended by this arc at the center of the circle
The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. A circle can be divided into sectors by using the central angle. An excellent illustration of a central angle is a pizza slice. A pie chart is made up of several sectors and is useful for representing various amounts.
Central angle =(s*360)/(2pir)
=we have s=2 yd
radius = 7 yd
angle = 16.5 degree = 0.09 pi
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The circle graph shows how a family budgets its annual income. If the total annual income is $100,000, what amount is budgeted for Auto expenses?
Savings
8%
Insurance
9%
Auto
14%
Clothing
15%
Food
19%
Leisure
13%
Housing
22%
Answer:
The amount budgeted for Auto expenses is $100,000 * 14% = $14,000.
Step-by-step explanation:
a rectangular board is 1300 millimeters long and 800 millimeters wide. what is the area of the board in square meters? do not round your answer.
A rectangular board is 1300 millimeters long and 800 millimeters wide. Then, the area of the board in square meters is 104 m².
Determine the area of the boardThese are the specified parameters:
Length of the board (l) = 1300 mm
Breadth of the board (b) = 800 mm
The area of a rectangular board
A = l × b
= 1300 mm × 800 mm
= 1040000 mm²
The area of the board in square meters
To convert mm² to m², divide mm² by 10000.
Therefore
A = 1040000 mm²
= 1040000 : 10000 m²
= 104 m²
So, the area of the board in square meters is 104 m².
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______. a measurable part of a line that consists of two points, called endpoints, and all of the points between them.
Line segment is a a measurable part of a line that consists of two points, called endpoints.
What is coordinate Geometry?a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Given that measurable part of a line that consists of two points, called endpoints is a line segment.
A line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.
Hence, line segment is a a measurable part of a line that consists of two points, called endpoints.
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What is a reasonable product of 3 9/10 x 4 1/5
Answer:
16 19/50
Step-by-step explanation:
first make improper fractions of both 3 9/10 and 4 1/5
mutltiply the denomiator (the number on the bottom) by the whole number, add the numerator (the number on the top) and put that number over the denomiator. 3 9/10 = 39/10 and 4 1/5 = 21/5. Multiply the improper fractions. numerator x numerator and write that on the top with a line under it. Multiply the denomiators and write that on the bottom. 39*21= 819. 10*5=50. your number would be 819/50. Then divide 819 by 50. You get 16 19/50
the statistical procedure that researchers use to identify underlying components that may exist in test without first proposing a formal model?
The statistical procedure that researchers use to identify underlying components that may exist in test without first proposing a formal model is exploratory factor analysis.
How to perform Functional Statistical AnalysisIn order to carry out a statistical analysis, we need to collect and review a sample of the data available in the research results for analysis.
While there is no single way to perform interpretive analysis, there are practices that can be replicated in any research if done in a way that is appropriate to the information provided.
These tips will allow us to carry out useful statistical analysis.
Give a clear and realistic picture of the data we have. Analyze how the data is related to the research subject. Designing a model that considers and describes the relationship between data and research subjects. Evaluate the model to determine its validity. Consider scenarios and tests using predictive analytics.Learn more about statistical analysis at https://brainly.com/question/11969248.
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Does the table below represent a linear function? Why or why not?
Answer:
yes
Step-by-step explanation:
because everytime you add 2 for x you add 1.8 for y
that means the difference is constant and the function is linear
Find the measures of the numbered angles in the kite shown?? Please helppp
Answer:
Step-by-step explanation:
Using the properties of a kite:
Measure of 1, 2, 3 and 4:- each of these = 90 degrees.
Measure of:
5 = 53 degrees.
6 = 27 degrees.
7 = 90 - 27 = 63 degrees.
8 = 90 - 53 = 37 degrees.
9 = m < 7 = 63 degrees.
10 = 90 - 53 = 37 degrees.
theorem: the average of any two real numbers is less than or equal to at least one of the two numbers. a proof by contradiction of the theorem starts by assuming which fact?
The average of any two real numbers is not greater than both of the two numbers, and is less than or equal to at least one of the two numbers.
The proof by contradiction of the theorem begins by assuming the opposite of the theorem, that the average of any two real numbers is greater than both of the two numbers. This can be expressed mathematically as follows:
Let a and b be two real numbers.
Average of a and b = (a + b)/2
Assume that (a + b)/2 > a and (a + b)/2 > b
This can be rewritten as
(a + b)/2 - a > 0 and (a + b)/2 - b > 0
Subtracting a from both sides of the first equation and subtracting b from both sides of the second equation yields
b - a > 0 and a - b > 0
Since b - a and a - b are both positive, the two equations cannot be true simultaneously. This is a contradiction and therefore our initial assumption must be false. Therefore, the average of any two real numbers is not greater than both of the two numbers, and is less than or equal to at least one of the two numbers.
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the midpoints of the sides of a regular hexagon abcdef are joined in order to form a smaller regular hexagon. what fraction of the area of abcdef is enclosed by the smaller hexagon?
A regular hexagon can be divided into six equilateral triangles by drawing lines from the center of the hexagon to each of its vertices.
Each of these equilateral triangles has an area that is one-sixth of the total area of the regular hexagon.
When the midpoints of the sides of the regular hexagon are joined to form a smaller regular hexagon, it can be seen that the smaller hexagon is made up of six equilateral triangles, each of which has half the area of the equilateral triangles in the larger hexagon. This is because the sides of the smaller hexagon are half the length of the sides of the larger hexagon.
Therefore, the fraction of the area of the larger hexagon that is enclosed by the smaller hexagon is:
[tex]6 * (1/2)^2 = 6 * 1/4 = 3/2[/tex]
This means that the smaller hexagon encloses 3/2 of the area of the larger hexagon.
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Tell whether (5, 2) is a solution of
x + 3y = 11
2x - y = 3
According to the question we have (5, 2) isn't a response of the linear equation system because one of equations is erroneous.
A solution example is what?Salt water, rub whiskey, and sucrose dissolved in water are a few examples of solutions. When you watch hard after combining salt and water, you can no longer see the sodium chloride, indicating that the combination is uniform.
What is the ideal meaning of the word "solution"?In chemistry, a solution containing of two or more compounds in their relative proportions. The composition of the solution can be continually changed up to the solubility limit. Although solution of gas and solids are possible, the term "solution" is most frequently used to refer to the liquid condition of matter.
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A pendulum's period in seconds, P, is related to the length of the pendulum in
meters, L, by the following equation:
P = 2√ 9.8
L
A pendulum in a grandfather clock has a period of 1.7 seconds. Find its length
to the nearest tenth of a meter.
The length to the nearest tenth of a meter is, 0.8 meter.
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.
We have to given that;
A pendulum's period in seconds, P, is related to the length of the pendulum in meters, L, by the following equation:
⇒ P = 2√9.8 L
Now, For a pendulum in a grandfather clock has a period of 1.7 seconds , its length is,
⇒ P = 2√9.8 L
⇒ 1.7 = 2√9.8 L
⇒ L = 1.7 / 2×√9.8
⇒ L = 1.7 / 2.26
⇒ L = 0.75
⇒ L = 0.8 meter
Thus, The length is, 0.8 meters.
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a manufacturer of piston rings for automobile engines frequently tests the width of the rings for quality control. last week, a random sample of 15 rings were measured, and the mean and standard deviation of the sample were used to construct a 95 percent confidence interval for the population mean width of the rings. when all other things remain the same, which of the following conditions would have resulted in a wider interval than the one constructed? i. a sample size of 20 with 95 percent confidence ii. a sample size of 15 with 99 percent confidence iii. a sample size of 12 with 95 percent confidence responses
Answer:
II and III only
Step-by-step explanation:
Use a common denominator to write an equivalent fraction for each fraction. (helping cousin again…)
1. 2/3 and 3/6
2. 3/4 and 5/12
3. 3/5 and 7/10
there’s probably more but if you can give me a step by step on how to solve it for the other questions (it’s 14 in total) that would be great
Answer:
To write equivalent fractions with a common denominator, we need to find the least common multiple (LCM) of the denominators of the fractions and then write each fraction with the LCM as the denominator. Here's a step by step guide:
1. To find the LCM of 3 and 6, we list the multiples of each number and find the smallest one that is common to both:
Multiples of 3: 3, 6, 9, 12, 15, 18, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, ...
The LCM of 3 and 6 is 6, so we write 2/3 and 3/6 with 6 as the denominator:
2/3 = 4/6 and 3/6 = 1/2
2. To find the LCM of 4 and 12, we list the multiples of each number and find the smallest one that is common to both:
Multiples of 4: 4, 8, 12, 16, 20, 24, ...
Multiples of 12: 12, 24, 36, 48, 60, 72, ...
The LCM of 4 and 12 is 12, so we write 3/4 and 5/12 with 12 as the denominator:
3/4 = 9/12 and 5/12 = 5/12
3. To find the LCM of 5 and 10, we list the multiples of each number and find the smallest one that is common to both:
Multiples of 5: 5, 10, 15, 20, 25, 30, ...
Multiples of 10: 10, 20, 30, 40, 50, 60, ...
The LCM of 5 and 10 is 10, so we write 3/5 and 7/10 with 10 as the denominator:
3/5 = 6/10 and 7/10 = 7/10
You can use this process to find the LCM and write equivalent fractions with a common denominator for the rest of the problems.