==========================================================
Explanation:
We'll break things up into cases. The phrasing "at least 3" means "3 or more".
We either will have 3 kings or 4 kings.
----------------------------------------------
Case A) There are exactly 3 kings.
Use the nCr combination formula. There are n = 4 kings total and we select r = 3 of them. That gives 4C3 = 4 ways to pick the 3 kings.
Put another way: there are 4 ways to leave a certain king out of the hand.
Then we have 52-4 = 48 cards that aren't a king, and we need to fill the remaining r = 2 slots. Through the nCr formula, you should find that 48C2 = 1128
To recap, we found
4 ways to pick the three kings1128 ways to pick the other two cards that aren't kingsThat gives 4*1128 = 4512 ways to have case A happen.
----------------------------------------------
Case B) There are exactly 4 kings
4C4 = 1, so there's only one way to select all the kings. The order doesn't matter. Then we have 48 cards to pick from for the fifth slot.
Overall there are 1*48 = 48 ways to have case B play out.
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There were 4512 ways to have case A happen, and 48 ways to have case B happen.
These cases are mutually exclusive to allow us to simply add the counts:
4512+48 = 4560
This is why the final answer is 4560
*PLEASE HELP*
In circle K with angle JKL = 74°, find the angle measure of minor arc JL.
A) 148°
B) 44°
C) 37°
D) 74°
Answer:
option D
Step-by-step explanation:
Answer: D
Step-by-step explanation: my teacher said it was D.
I don’t understand I need help:(
Answer:
a=11
Step-by-step explanation:
set the formula up as
22+7a = 9a
22 = 9a - 7a
22 = 2a
22/2 = a
11 = a
Find the volume of the cone either enter an exact anwer in term of pi or ue 3. 14. For pie. R= 5 l=6
The volume of the cone is 50π cubic units .
What is a cone ?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.
A cone has a circular base.
A cone has no edges, one face, and one vertex.
The length of the line segment from a cone's apex to any point around the circle of the cone's base is known as the slant height of the cone.
A right circular cone is a cone with its apex perpendicular to the base of the cone and directly above it.
An oblique cone is one that doesn't have its apex precisely over the base's circle.
Radius of the cone = 5
Height of the cone is 6
Volume of the cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] = [tex]\frac{1}{3}\pi *5^{2}* 6 = 50\pi[/tex] cubic units.
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helppppppppppppppppppppppppppppppppppppp
Answer: 527.79 m²
Step-by-step explanation:
formula is A = 2πrh + 2πr²
A = 2π x 4 x 17 + 2π x 4²
A = 527.79 m²
What do we call a decimal that does not terminate?
Answer:
Irrational number
Step-by-step explanation:
10. The sum of three consecutive odd numbers is 69. Find the numbers of P is the largest
number
Answer:
The numbers would be 21,23 and 25.
The largest is 25. (If this is what you are asking)
Step-by-step explanation:
The question stated that 3 consecutive odd numbers made up that 69.
Therefore, you can divide the 69 by 3 to determine the range of these numbers.
69/3= 33. So we know the range is 30-35-39 (These are the numbers youd look at to see which consecutive numbers adds up to the 69)
Reason why you divide:
For example, you wouldnt be able to use a number in its 30s or 10s because itd be too high or too low.
Hope it helps.
Which shows that the set of irrational numbers under addition is not closed?
3+3
π + π
π +3
3π + (−3π)
The option that shows that the set of irrational numbers under addition is not closed is B. π + π.
What is an irrational number?All real numbers that are not rational numbers are referred to as irrational numbers in mathematics. In other words, it is impossible to express an irrational number as the ratio of two integers. The collection of real numbers known as irrational numbers, where p and q are integers, are those that cannot be expressed as fractions, such as p/q.
The example of "π + π" shows that the set of irrational numbers under addition is not closed, because the result of adding two irrational numbers (π + π) is an irrational number (2π) which is not included in the set of irrational numbers.
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7. You just landed back in Michigan at the airport, but cannot remember where you
parked your car. There are 8 letter sections (A, B, C, D, E, F, G, H) and each
section is labeled 1-22 in the lot. Find the probability that you correctly guess
the letter section and then guess the correct number section where your car is
located. Write your answer as a percentage rounded to the hundredth.
The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total possible outcomes.
= 8 x 22
= 176
Now,
Probability of guessing the correct letter.
= [tex]^8C_1[/tex] / 176
Probability of guessing the correct section.
= [tex]^{22}C_1[/tex] / 176
The probability that you correctly guess the letter section and then guess the correct number section.
= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176
= 8 x 22 / 176 x 176
= 1 / 176
= 0 .005
= 0.01
Thus,
The probability that you correctly guess where your car is located is 0.01.
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There is something wrong with the reason. I don’t know what it is. Could someone help me. The picture of the figure is on the next post.
9514 1404 393
Answer:
CPCTC
Step-by-step explanation:
The applicable reason for statement 4 is "Corresponding Parts of Congruent Triangles are Congruent (CPCTC)".
The reason shown in your problem statement is applicable only within one triangle. The segments of interest are in two different triangles.
Evaluate the expression 2^x- x^22
x
−x
2
2, start superscript, x, end superscript, minus, x, squared for x=5x=5
The evaluation of the expression 2ˣ - x² when x = 5 is 7
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: 2^x- x^2
Value x = 5
Rewrite the expression as
Expression: 2ˣ - x²
Substitute the known values in the above equation, so, we have the following representation
2ˣ - x² = 2⁵ - 5²
When the exponents are evaluated. we have
2ˣ - x² = 32 - 25
Evaluate the like terms in the equation
So, we have the following representation
2ˣ - x² = 7
Using the above as a guide, we have the following:
The solution is 7
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Which equation can be used to find the surface area of the cylinder?
Answer:
The fourth one
Step-by-step explanation:
Surface area of a cylinder: [tex]SA=2\pi rh+2\pi r^2[/tex]
where r = radius and h = height
We have a given height of 14cm and a given diameter of 6cm
We need the radius, not the diameter
To convert diameter to radius we simply divide by 2
6 / 2 = 3
so R = 3
We now plug in the given values into the formula
[tex]SA=2\pi (3)(14)+2\pi (3)^2[/tex]
This equation matches with answer choice D
Please helppp WILL MARK BRAINLIEST
Answer:
110°
Step-by-step explanation:
i dont think u need explanation so ill do it fast
What is the y-intercept of the quadratic function f/x )=( x 8 )( x 3?
The y-intercept of the quadratic function f(x) = (x - 8)(x + 3) is (0, -24).
The graph's intersection with the y-axis is known as the y-intercept. Finding the intercepts for any function with the formula y = f(x) is crucial when graphing the function. An intercept can be one of two different forms for a function. The x-intercept and the y-intercept are what they are. A function's intercept is the location on the axis where the function's graph crosses it.
This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).
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2 points
Find the value of x. Round your answer to the nearest tenth. example of
answer: 3.1*
3.
7
9
Your answer
Step-by-step explanation:
if the question is to round 3.79 to the nearest tenth then here you go: *can't really grab you question, but....*
So, 3.79 to the nearest tenth would be 3.8
Why? How?
To round, you have to convert the farthest right value, which is 5 or higher, to one and add it to it's previous. So, 9 is higher than 5, could be 5, but can change to 1 and be added to it's previous 7 making 7 8, and that's how we get 3.8 (8 being the tenth of the decimal...hope I'm making sense. it's just the rules, how it works, and how I can explain it).
Hope you get it right and good luck :)
help me this is a little confusing for me and i need to be done with it by tomorrow
Answer:
p(r(-3)) = 114
Step-by-step explanation:
I assume you want help with just #4:
[tex]r(x)=5r+2\\r(-3)=5(-3)+2=-15+2=-13\\\\p(x)=x^2+4x-3\\p(r(-3))=p(-13)=(-13)^2+4(-13)-3=169-52-3=117-3=114[/tex]
10,9, 23, 68, 70, 4, 12,4
What is the median for this set of numbers?
A 4
B. 11
c. 25
D. 66
E. 70
Answer:
i would say A because you have more of the 4 than anything else
Step-by-step explanation:
PLEASE HELP!! And explain :) THANKS
Because two triangles are said to be congruent when all three of their corresponding sides and all three of their corresponding angles have the same measure, the right answer is SSS.
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found.
In the order below, beginning with triangles DAB and BCD, write the names of the vertices.
AB = CD
DA = BC
Since both triangles' BD sides are the same, BD = BD.
The SSS feature of a congruent triangle allows us to conclude that the triangles DAB and BCD are congruent since they share the same three sides.
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Help! What’s the expression of m more than 2
Answer:
2 + m
Step-by-step explanation:
Find the slope of a line parallel to the line whose equation is 10x+6y=_96
Answer:
Slope=-3.333/2.000=-1.667
X-intercept= -13/5 = -2.60000
Y-intercept= -13/3 = 14.33333
A triangle has a height that is 4 inches shorter than its base. If its area is 30 square inches, find the base and height
Answer:
120
Step-by-step explanation:
you are multiping you are trying to get the number of the base
What is the y-intercept of the line?
b=?
Answer:
2
Step-by-step explanation:
look at where it intersects the line that goes straight up
Find the value of x.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
The triangles are similar so
x + 46 + 78 = 180
x = 56°
18 9/10 + 8 3/10 ?????.....
27 2/10
or
27 1/5
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LAST QUESTION....
6. Which cylinder do you think has the greater volume?
Cylinder A: radius 1 m and height 2 m, or
Cylinder B: radius 2 m and height 1 m. Explain.
Answer:
it should be cylander b
Step-by-step explanation:
the formula for volume is πr^2(h) and the number being squared would need to be bigger for a greater volume.
What is a polynomial of zero?
All of the coefficients of a zero polynomial's variables are equal to zero. In other words, it indicates that the powers of all the variables are equal to zero.
Zero polynomials are any polynomials that have all of their variables' coefficients set to zero.
Thus, a polynomial with a value of zero has no value.
A constant function or zero map is the function that defines it, and it is typically written as P(x) = 0, where x is the variable of the polynomial whose coefficient is 0.
A zero polynomial is a polynomial that has zero as its coefficient and an endless number of terms and variables of various powers.
Like this: 0x^2 + 0x + 0.
The graph of the zero polynomial is the x-axis, and the zero polynomial function is defined as y = P(x) = 0.
Real numbers are believed to be the domain, while 0 is the range.
The range is the set of values for the dependent variable y, whereas the domain is the set of values for the variable x for which the function is defined.
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8)Tony bought a shirt for $40 and a second one at 50 percent off.
What was the total cost before taxes?
b) There was a 5 percent tax. How much did Tony pay in total?
Answer:
he paid 19 dollars
Step-by-step explanation:
first we subtract tax which is 2 dollars then we find 50%
A plant is 5cm tall and growing at a rate of 3cm a month. How many months would it take for the plant to reach 23cm?
Answer:
6 months
Step-by-step explanation:
5cm +3x = 23 (goal)
-5 -5
3x=18
x=6 months
Answer:
plant b height will exceed the height of plant a after 16 days.
Step-by-step explanation:
Plant a: 5 cm tall and rate of change = 3 cm per month
Plant b: 4 cm tall and rate of change = 5 cm per month.
Now we have to form the linear equations.
Plant a:
y = 3x + 5, where y is the total height and "x" be the number of months.
Plant b:
y = 5x + 4 , where y is the total height and "x" be the number of months.
Now we have to when the height of the plant a and plant b are the same.
To do that, we have to equivate both the equations and find x.
3x + 5 = 5x + 4
Isolate the variables terms and constants.
5x - 3x = 5 - 4
2x = 1
Dividing both sides by 2, we get
x = 1 ÷ 2
x = 0.5 months.
So after 15 days, the height of the plant a and plant b are the same.
Therefore, plant b height will exceed the height of plant a after 16 days.
Witch of the following options have the same value as 75% of 96 ?
Answer:
[tex]75\% \: of \: 96 \\ = \frac{75}{100 } \times \frac{96}{1} \\ = \frac{3}{4} \times \frac{96}{1} \\ = 24 \times 3 \\ = 72[/tex]
I WILL MARK BRAINLYEST AND 40 POINTS
Describe a meal that you could put together that provides 4 servings of both a main course and a side dish. Explain how you know that it will not exceed the weight limit of the box
The total number of servings of chicken the food bank can provide is 70 servings.
What is per unit?Per-unit is a technique of expressing a quantity's value in terms of a base or reference quantity. Each system variable or quantity in a per-unit system is normalized in relation to its own base value.
Two chickens make up the main course of a plate of food, according to the table's content. Each chicken served by the food bank weighs 12.6 ounces. 110.9 pounds of chicken are available at the food bank (1,774.4 ounces of chicken)
Thus,
The mass of chicken per serving = 2 × 12.6 = 25.2 oz/serving
The total number of servings of chicken the food bank can provide = (The quantity of chicken the food bank has)/(The mass of chicken per serving)
∴ The total number of servings of chicken the food bank can provide = (1,774.4 oz)/(25.2 oz/serving) ≈ 70.413
Given that the servings are in whole numbers, we have;
therefore, To the nearest whole number, the food bank can offer a maximum of 70 servings of chicken.
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Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area.
Which set of dimensions will create a rectangle using all the rope Ashley has with her?
(When I took the test, I got it wrong so I am wondering which one is right)
70 m × 70 m
60 m × 10 m
55 m × 10 m
Answer:
60 m times 10 m
Step-by-step explanation:
So your answer is the second one!
Answer:
60 m × 10 m
Step-by-step explanation:
A) 2(14+10)=2(24)=48
B) 2(70+70)=2(140)=280
C) 2(60+10)=2(70)=140