The probability of selecting exactly one ace is its likelihood
The probability that a five-card poker hand contains exactly one ace is 29.95%
How to determine the probability?There are 4 aces in a standard deck of 52 cards.
The probability of selecting an ace would be:
p = 4/52
Also, there are 48 non-ace cards in the standard deck
So, the probability of selecting a non-ace after an ace has been selected is:
p = 48/51
The probability of selecting a non-ace up to the fifth selection are:
After two cards have been selected is: 47/50.After three cards have been selected is: 46/49.After four cards have been selected is: 45/48.The required probability is then calculated as:
P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)
Where n is the number of cards i.e. 5
So, we have:
P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)
Evaluate
P(1 Ace) = 0.2995
Express as percentage
P(1 Ace) = 29.95%
Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%
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please answer fast The vertices of a rectangle are located at the coordinates (1, 4), (1, 5), (6, 5),
1
,
4
,
1
,
5
,
6
,
5
,
and (6, 4)
6
,
4
.
Find the length of the sides of the rectangle and its perimeter.
Answer:
See below ~
Step-by-step explanation:
Drawing the rectangle (Refer attachment)
Horizontal sides
There are two x-values present : 1 and 6Find the difference6 - 1 = 5 The horizontal sides of the rectangle are 5 units longVertical sides
Two y-values are present : 4 and 5Find the difference5 - 4 = 1The vertical sides of the rectangle are 1 unit longPerimeter
2(Horizontal side + Vertical side)2(5 + 1)2(6)12The perimeter of the rectangle is 12 unitsA student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is
36 centimeters, and the length of the other leg is 25 centimeters. The student incorrectly says that
the length of the hypotenuse is 7.8 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter
The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter is
(Round to the nearest tenth as needed.)
cm
Answer:
a) 43.8 cm
I don't see a part b but let me know if you just forgot to include it and I can answer :)
A wave is modeled with the function y = 1 /2 sin 3 θ , where θ is in radians. Describe the graph of this function, including its period, amplitude, and points of intersection with the x-axis.
Please help me with this :)))
Answer:
Transitive
Step-by-step explanation:
2/5 [ -3/7 + (-1/6) ]
step-by-step answer please
Step-by-step explanation:
Step I: [Take only first 5 digits] A five digit number divisible by 5 can only end with '5'(0 is not allowed)
=> Middle digit is 5. Number is _ _ _ _ 5 _ _ _ _
Step II: All even digits should be even. because they'll be divided by an even number.
Step III: [Take only first 8 digits]An eight digit number with 6th digit as even number, last 2 digit can have only 4 combinations, . These are 96, 16, 72, 32. Number will be as follows:
(EDIT: Considering that it is divisible by 8 and 7th digit is odd)
_ _ _ _ 5 _ 1 6 _
_ _ _ _ 5 _ 9 6 _
_ _ _ _ 5 _ 7 2 _
_ _ _ _ 5 _ 3 2 _
Step IV: [Take only first 4 digits]A four digit number divisible by four ends only with 2 or 6. Keeping in mind that these number don't repeat only 4 Combinations are possible:
(EDIT: Using the fact that 3rd digit is odd and is divisible by 4)
_ _ _ 2 5 _ 1 6 _
_ _ _ 2 5 _ 9 6 _
_ _ _ 6 5 _ 7 2 _
_ _ _ 6 5 _ 3 2 _
Step V: [Take only first 6 digits]For a number to be divisible by 6; 6th number should be even and last three digit should add up to make a multiple of 3. Only 4 Combinations possible
_ _ _ 2 5 8 1 6 _
_ _ _ 2 5 8 9 6 _
_ _ _ 6 5 4 7 2 _
_ _ _ 6 5 4 3 2 _
Step VI: Now only one even number is remaining for occupying 2nd place in each of the above combination. For example in Ist case: 4 is the only remaining even number to be consumed. The combination will go as follows:
_ 4 _ 2 5 8 1 6 _
_ 4 _ 2 5 8 9 6 _
_ 8 _ 6 5 4 7 2 _
_ 8 _ 6 5 4 3 2 _
Step VII: Total 10 combinations remain:
1 4 9 2 5 8 1 6 _
9 4 1 2 5 8 9 6 _
3 8 1 6 5 4 7 2 _
1 8 3 6 5 4 3 2 _
3 8 1 6 5 4 7 2 _
1 8 3 6 5 4 3 6 _
1 8 9 6 5 4 7 2 _
9 8 1 6 5 4 3 2 _
1 8 9 6 5 4 7 2 _
9 8 1 6 5 4 3 2 _
Step VIII: Taking only first 7 digits of all of the above numbers. Only 3816547 is divisible by Seven
Complete number 381654729 is divisible by 9.
I am sure only 381654729 thus satisfies the answer.
Feel free to correct me if im work
what is 2-3 added to 4+6
Answer:
2-3 is 1 ~
1 + 4 is 5
5+6 = 11
Step-by-step explanation:
So ur answer is 11.
Will award brainliest for the correct answer!
how do i find these in surface area with work??
Answer:
Just multiply. the numbers that they r showing u is for the surface.
Step-by-step explanation:
I do it all the time and get it right.
PLS GIVE ME BRAINILIEST IT WOULD REALLY HELP ME!
Seven more than three times a number is 58. What is the number? a. 15 b. 16 c. 17 d. 18
Answer:
3x+7=58
-7 -7
-----------------
3x = 58 - 7
3x = 51
div 3. div 3. (on both sides)
51/3 = 17
Answer is 17, so the letter would be C
A 2-liter container holds more than a 3,000-milliliter container. True or false?
To consider whether this statement is true or not
⇒ must determine the number of milliliters in a liter
⇒ 1 Liter = 1000 milliliter
To compare both containers, lets set both containers in terms of milliliters
Container 1 --> 2 Liter Capacity --> 2000 milliliterContainer 2 --> 3000 milliliterBy looking at the data
⇒ the 3000-milliliter container holds more than the2-liter container
Thus, the statement: A 2-liter container holds more than a 3,000-milliliter container
⇒ False
Answer: False
Hope that helps!
Answer:
False because 2 liters = 2,000 milliliters. Therefore that is not possible.
Please help! Math Class.
Data set: 10, 12, 12, 16, 24
Mean = 14.8
What is the rate of change in y with respect to x in the function x + 5y = 10?
Answer:
-1/5
Step-by-step explanation:
let's put the function in slope intercept form (y = mx + b).
x + 5y = 10
y = - (1/5)x + 2
when the function is in slope intercept form, (m) is the rate of change or the slope.
therefore, the rate of change -1/5
Find the number of sides for each regular polygon using the given angle.
11) Each exterior angle is 5º.
Sides:
12) Each interior angle is 165º.
Sides:
13. Parallelogram: Yes or No
Reason:
77
103
103
77
Answer:
72sides
24sides
yes parallelogram, each opposing angle is the same
Write an equation in point-slope form of the line that passes through the point (-6,6) and has a slope of m=3/2
.
Answer:
[tex]y-6=\frac{3}{2} (x+6)[/tex]
Step-by-step explanation:
Hi there!
We are given a point (-6, 6) and a slope of [tex]\frac{3}{2}[/tex]
We want to write the equation of the line that contains this point and slope in point-slope form
Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
As we are already given everything we need, we can simply substitute the values into the formula
Starting with the slope, substitute 3/2 as m into the equation:
[tex]y-y_1=\frac{3}{2} (x-x_1)[/tex]
Now substitute -6 as [tex]x_1[/tex] and 6 as [tex]y_1[/tex]
[tex]y-6=\frac{3}{2} (x--6)[/tex]
Simplify:
[tex]y-6=\frac{3}{2} (x+6)[/tex]
Hope this helps!
Please help solve the image below
Answer:
x = 7.5
y = 9
Step-by-step explanation:
Remark
Notice that the symbol of the angle above 6x + 5y is the symbol for a right angle. Since all three angles are on a straight line, they are either the supplement of a right angle or a right angle.
Givens
right angle
The right angle's supplement (which is also 90degrees) of (6x + 5y)
10y = 90 degrees which a corresponding equal angle to (6x + 5y)
Solution
10y = 90 See remarks for reason. Divide by 10
10y/10 =90/10
y = 9
6x + 5y =90
6x + 5*9 = 90 Combine
6x + 45 = 90 Subtract 45 from 90
6x = 90 - 45 Combine
6x = 45 Divide both sides by 6
6x/6 = 45/6
x = 7.5
Ella is trying to determine the side lengths of a triangle. She knows that the longest side is three times longer than the shortest side. The medium side is ten more than twice the shortest side. If the perimeter is 142 cm, how long is each side?
Answer:
Step-by-step explanation:
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The perimeter of the triangle is 6a + 3 units. Write an expression in simplest form for the length of Side 3.
2
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The length of the third side is a-2.
Given that:
Perimeter of triangle: 6a + 3
Length of first side: 2(a+3)
Length of second side: 3a -1
Let the length of the third side of the triangle be x.
Then as perimeter of a triangle is sum of lengths of all 3 sides of the triangle, thus we have:
Thus we have length of the third side as a -2.
In the month of November, a dance troupe had 300 members.
In December, there was a 20% decrease in the members.
In January, there was a 20% increase from the month before.
How many members were there in January?
Answer:
432 members
Step-by-step explanation:
300*1.2=360,360x1.2=432
300 represents the starting number, we multiply it by 1.2 because 1.2 means 20%, when we multiply, we get 360, that means that there are 260 members in december, so then we mutiply 360*1.2 in order to find out how many members there are in january, 360*1.2=432
Which of the set of expressions is equivalent?
A. 3(2x+5) and 6X+5
B. 2(3x+5) and 6x+15
C. 3(2x+5) and 6x+10
D. 2(3x+5) and 6x+10
Every 10 years in December, the population of a certain town is recorded. In 1997,
the town had a population of 3,200 people. From 1997 to 2007, the population
increased by 15%. From 2007 to 2017, the population decreased by 3%. What was
the population in 2017?
Answer:
3570
Step-by-step explanation:
We use percentage formula here:
Beginning Amount * Percentage = Final Amount
Plug in the values
3200 * 15/100 = Final
480= Final
Now we have 480 ppl growth from 97 to 07, so we have 3680 people
3680 * 3/100= Final
110.4= Final
110=Final
(Rounded)
Now that we decreased, we subtract 3680-110 and get the final population of 3570
We are given two metrics to work with: 10 years of time, and population change. The base is 3200 people at 1997. Ten years later, 3200 is increased to 3680 people, presumably due to living conditions improving. Another ten years later, the town's situation is stagnating. The population decreases somewhat, dropping down to 3569.6. This is because someone lost an arm and a leg, decreasing their person status to 60%.
Help is in 1 minute
!!!!!!!!!!!!!!!!!!!!!!!!!!
Please help me… please tell me both sets of answers!
Thank you!
Answer:
Step-by-step explanation:
PLEASE ASNWER QUICKLY AND EXPLAIN
Answer:
(-4,6)
Step-by-step explanation:
When rotating a point about the origin, we can simply add and negative sign in front of both the x and y.
(4,-6)
(-4, - -6)
When there are two negatives, it automatically becomes a positive (+)
(-4,6)
If 2 cards are dealt from a shuffled deck of 52 cards, find the probability that all 2 cards are jacks.
Step-by-step explanation:
?Can you please explain more??
︵‿︵‿୨♡୧‿︵‿︵
THIS IS FOR MY SIS ILL GIVE BRAINLIEST
it's a multiplication!
not sure if you need the answer but just incase:
5(8+2)-4
= 5×(8+2)-4 (same as 5×8+5×2-4)
= 5×10-4
=50-4
=46
Answers are there but i need the work
the rectangular prism below has a total surface area of 198 in^2 use the net below to determine the missing dimension x
a net of a building block is shown below what is the total surface area of the building block
Answer:
8.25in
Step-by-step explanation:
6×4=24in
198÷24=8.25in
hence the answer is 8.25in
Answer:
See below ~
Step-by-step explanation:
#7)
Area of a rectangle = l x b30 in² = 4 in (x in)x = 30/4 = 7.5 inches#8)
Total Surface Area = 2 x Area (Triangle) + Area (Rectangle 1) + Area (Rectangle 2) + Area (Rectangle 3)TSA = 2 x 1/2 x 3 x 4 + 9 x 5 + 4 x 9 + 3 x 9TSA = 12 + 45 + 36 + 27TSA = 57 + 63TSA = 120 in²How are functions related to solving linear equations
A linear function is a function with the form f(x) = ax' + b. It looks like a regular linear equation, but instead of using y, the linear function notation is f(x). To solve a linear function, you would be given the value of f(x) and be asked to find x.
99 in./s = mi/day
Converting rates for 7th grade math can’t seem to figure it out
Which expression gives the measure of 2ACE in the diagram below*
58"
172"
• A. 172° + 58°
• B. 5(172° - 58°)
O C. 172° - 58°
O D. } (172° + 58°)
Answer:
100% it is B. 1/2(172 - 58)
Step-by-step explanation:
The expression which gives the measure of ∠ACE in the diagram below is [tex]\frac{1}{2}[/tex] (172° - 58°). So option B is the correct one.
What is Secant Angle Theorem?Secant angle theorem is a theorem which states that when two secants which intersects the circle at two different points are intersected at a point outside the circle, then the angle formed at the intersection is equal to the half of the measure of the intercepted arcs.
Given a circle with two secants, ABC and EDC, which touches the circle at different points.
They both intersects at point C.
The intercepted arcs are arc AE and arc BD.
Using the Secant Angle theorem, measure of angle ∠ACE is the half of the measure of arc AE and arc BD.
m ∠ACE = [tex]\frac{1}{2}[/tex] (AE - BD) = [tex]\frac{1}{2}[/tex] (172° - 58°)
Hence the required expression is 1/2 (172° - 58°).
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Craig is learning to identify local birds with a Field Guide to Forest Birds deck of cards. He
randomly selects one card from the deck, puts it back in the deck, and selects another card.
He repeats this several times and gets 4 hummingbirds, 3 falcons, 1 woodpecker, 4 owls, 3
loons, and 2 eagles.
Based on the data, what is the probability that the next card Craig selects will be a falcon
card?
Write your answer as a fraction or whole number.
The probability helps us to know the chances of an event occurring. The probability that the next card Craig selects will be a falcon
card is 3/17.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that Craig gets 4 hummingbirds, 3 falcons, 1 woodpecker, 4 owls, 3
loons, and 2 eagles. Therefore, a total of 17 possible outcomes. Now, since the number of outcomes which are falcon is 3. Therefore, the probability of the next card being a falcon can be written as,
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
[tex]\rm Probability = \dfrac{\text{Number of falcon cards}}{\text{Total number of possible outcomes }} = \dfrac{3}{17}[/tex]
Hence, the probability that the next card Craig selects will be a falcon
card is 3/17.
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PLEASE HELPPP ASAPPP!
Answer:
See below ~
Step-by-step explanation:
1.
Triangle P'Q'R' is larger because it is dilated by a scale factor of 1.5, which is greater than 1, meaning it will be bigger than triangle PQR.2.
Segment P'Q' = 1.5 x 5 = 7.5It will be 7.5 because after dilation, each of the sides of the original triangle is multiplied by the scale factorPQ x 1.5 = P'Q'P'Q' = 5 x 1.5P'Q' = 7.5