The 0.0588 = 5.88% probability of drawing two clubs from a standard deck of 52 cards.
0.0498 = 4.98% probability of drawing two faces from a standard deck of 52 cards.
0.0045 = 0.45% probability of drawing two aces from a standard deck of 52 cards
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
We know standard deck has 52 cards.
And 13 cards are for clubs.
(a).
The probability,
= number of favorable outcomes / number of outcomes
= 13 x 12 / 52 x 51
= 0.0588
0.0588 = 5.88% probability of drawing two clubs from a standard deck of 52 cards.
(b). 12 faces in a deck.
The probability,
= number of favorable outcomes / number of outcomes
= 12 x 11 / 52 x 51
= 0.04977
= 0.0498
0.0498 = 4.98% probability of drawing two faces from a standard deck of 52 cards.
(c). There are 4 aces in the deck.
The probability,
= number of favorable outcomes / number of outcomes
= 4 x 3 / 52 x 51
= 0.0045
0.0045 = 0.45% probability of drawing two aces from a standard deck of 52 cards.
Therefore, the probabilities are 0.0588, 0.0498 and 0.0045.
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Nonsense will be reported!!
\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)
The required additional information required to prove the Triangles congruent are :
\(\qquad \sf \dashrightarrow \: 1. \: X V= FD\)
The Triangles will be congruent by HL congruency.
\(\qquad \sf \dashrightarrow \: 2. \: MH = MI\)
The Triangles are congruent by LL congruency.
\(\qquad \sf \dashrightarrow \: 3. \: \angle EDC = \angle VUC\)
The Triangles are congruent by HA congruency.
\(\qquad \sf \dashrightarrow \: 4. \: \angle J = \angle C\)
The Triangles are congruent by LA congruency.
100 Points! Graph the function. State the domain and range of the function. Photo attached. Thank you!
Answer:
Domain: \(x\geq -2\)
Range: \(y\geq 0\)
Step-by-step explanation:
Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
have a great day and thx for your inquiry :)
Find the volume of the object.
Answer:
pretty hard
Step-by-step explanation:
Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
Let (-3,-2) be a point on the terminal side of theta. Find the csc(theta)
The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.
To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.
Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.
The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.
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Give the rate in miles per hour. Round to the nearest tenth.Caroline walks9 1/2 inches per secondHint
You have that Caroline walks 9 1/2 inches per second.
9 1/2 = (18 + 1)/2 = 19/2 = 9.5
In order to find the rate in miles per hour you use the following identities:
1 mile = 63360 inches
1 hour = 360 seconds
The previous identities are used as converstion factors. You proceed as follow:
9.5 in/s x ( 1 mi / 63360 in) x ( 360 s / 1 h) = 0.05 mi/h ≈ 0.1 mi/h
Hence, Caroline walks 0.1 mi/h
Welcome to Gboard clipboard, any text you copy will be saved here.
An airline finds that if it prices a cross-country ticket at $200, it will sell 300 tickets per day. It estimates that each $20
price reduction will result in 50 more tickets sold per day. Find the ticket price (and the number of tickets sold) that will
maximize the airline's revenue.
ticket price?
number of tickets?
We can write that as a function:
\(f(n)=(200 -20n) * (300 + 50n)\\f(n)=60000+10000n-6000n-1000n^2\\f(n)=-1000n^2+4000n+60000\\\)
where \(n\) is the number of price reductions. We can see that it is a quadratic function which has the biggest value at P = (p, q). It means that p is the number of reductions which results in the biggest profit.
\(p=\frac{-b}{2a}=\frac{-4000}{-2000}=2\)
It means that it's the best to make 2 price reductions for the company. The tickets should be sold for $200 - 2 * $20 = $160. It results in 2 * 50 more tickets sold which is 300 + 100 = 400.
Answer:
Ticket price: $160
Number of tickets: 400
(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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find the measure of minor arc RV
The measure of the minor arc m∡rv = 111°
What is the explanation for the above response?Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c
Where a = ∡RV
b = ∡SU = 37°:
and c = ∠T (the angle between intersecting secants.
Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:
(a - 37) / 2 = 37
Multiplying both sides by 2 gives:
a - 37 = 74
Adding 37 to both sides gives:
a = 111
Therefore, a is equal to m∡rv = 111°.
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WILL GIVE BRAINLIEST! HURRY
Answer:
-1/2 =x
Step-by-step explanation:
4x - 6 = 10x -3
Subtract 4x from each side
4x-4x - 6 = 10x-4x -3
-6 = 6x-3
Add 3 to each side
-6+3 = 6x
-3 = 6x
Divide each side by 6
-3/6 = 6x/6
-1/2 =x
\(answer \\ - \frac{1}{2} \\ solution \\ 4x - 6 = 10x - 3 \\ or \: 4x - 10x = - 3 + 6 \\ or \: - 6x = 3 \\ or \: x = \frac{3}{ - 6} \\ x = - \frac{1}{2} \\ hope \: it \: helps\)
Helppppppppppppppppppppppppppppppppppppp
Answer:
diiiiifiiiciiillllllñ
Answer:
Step-by-step explanation:
a - yes
b - yes
c - yes
d - yes
e - yes
The solution to (-3.9) + 1.5 - 6.2 is -8.6.
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True
False
The rule c=6.3r gives the approximate circumference c of a circle as a function of its radius r. Identify the independent and dependent variables in this relationship
The circumference (c) is the dependent variable.
The radius (r) is the independent variable.
How to identify the independent and dependent variables in a relationship?
An independent variable is a variable that does not depend on any other variable for its value
A dependent variable is a variable depend on any other variable for its value.
In the rule c = 6.3r, the circumference (c) of a circle depends on the radius for its value while the radius (r) does not depend on the circumference for its value.
Thus, the circumference (c) is the dependent variable while the radius (r) is the independent variable
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Express each decimal to fraction 77.0075
Answer:
77\(\frac{3}{400}\)
Step-by-step explanation:
Answer:
30803/400
Step-by-step explanation:
77.0075 = 770075/10000
= 154015/2000
= 30803/400
i need help with this question parts f g and h
SOLUTION
(f) The y-intercepts
This is where the graph cuts the y-axis. Looking at the graph, the graph cuts the y-axis at -3.
So the answer as an ordered pair is (0, -3)
(g) The domain of f
The domain is determined from the x-axis or the x-values. From the graph, the domain is defined for a set of all real numbers of x, from negative to positive infinity.
So in interval notaion, the domain is
\((-\infty,\infty)\)(h) The range is derived from the y-axis or y-values.
Looking at the graph, the range is defined for all set of y-values from -3, to 0 to positive infinity of real numbers.
So in interval notation, the answer is
\([-3]\cup[0,\infty)\)Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Ralph wants to join a travel soccer team, a discretionary expense.
His parents tell him he must get a job to earn the money to cover the costs. Ralph now views this discretionary expense as an essential expense since he must pay his parents back. The costs of the travel team are listed below.
Uniform - $67.00
Registration - $50.00
Tournaments -$775.00
Travel - $300.00
a. Find the total cost of being on the team.
b. If Ralph takes a summer job and works 10 weeks over the summer, how much must he average each week to cover the travel team expenses?
c. If Ralph is paid at a flat rate of exactly q dollars each week, what is the standard deviation of the distribution of his 10 weekly paychecks?
a) The total cost of being on the team is; $1192
b) Ralph average cost is; $119.20
c) The standard deviation of the distribution of his 10 weekly paychecks is; $0
What is the Total Cost?
We are given the costs of the travel team as listed below;
Uniform - $67.00
Registration - $50.00
Tournaments -$775.00
Travel - $300.00
a) To find the total cost of being on the team, we will simply add all the individual costs as given to get;
Total Cost = 67 + 50 + 775 + 300
Total Cost = $1192
b) If Ralph takes a summer job and works 10 weeks over the summer, then his average cost is;
Average Cost = 1192/10
Average Cost = $119.20
c) If he is paid at a flat rate of exactly q dollars each week, the standard deviation of the distribution of his 10 weekly paychecks is;
$0
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Answer:
Step-by-step explanation:
first one is wrong and I don’t know the answer yet
A company has 4,677 pounds of rock salt. A small town bought one-fifth of the rock salt. Then a landscaper bought 80 pounds of the rock salt that was left. How many pounds of rock salt, to the nearest hundredth, does the company have left?
As a result of it being so accessible, we became incredibly lax over the years.
How to buy and stock rock salt?Numerous snow removal companies had an excess of ice melt product due to the mild winter that just ended. Materials used to melt ice can be kept and used in the upcoming months with proper storage, according to experts. When it comes to applications for melting ice, rock salt rules in the Midwest.As a result of it being so accessible, we became incredibly lax over the years.Tom Barry, founder of Battle Creek Landscape Service, based in Battle Creek, Michigan, says that as this shortage developed, it has been his experience that you really want to plan ahead.The 2012–2013 season, according to Barry, saw reasonable prices. Salt prices have since increased as a result of a subsequent shortage.He claims, "I don't see them ever getting down that low."For 30 years, Battle Creek Landscape has been in operation and has provided snow removal services. It brings in roughly $1 million a year. Twenty people work during the busiest time of the year.The Complete Question.
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Write True or False for each statement.
(a) A square is a special rectangle.
true or false?
(b) The diagonals of a rhombus are equal in length.
true or false?
(c) A kite has both pairs of opposite angles equal.
true or false?
Answer:
A) true
B) true
C) true
hope that helps :)
I would really appreciate assistance! Thank you.
Answer:
See belowStep-by-step explanation:
The sum of the first two columns give the third column.
Find the missing values:
Account 2
512 - 432 = 80Account 3
75 - 100 = - 25Account 4
12 - 52 = - 40Which value is a solution to the inequality x 4
Answer:
0
Step-by-step explanation:
x < 4 means all numbers less than 4, excluding 4 itself.
4.5 > 4.
5 > 4.
so 0 is the solution
Answer:
4
Step-by-step explanation:
interval notation ( negative infinity, 4)
PLEASE HELP!!!
Given the function f(x)=(x+1)(x-3)
a) What are the x-intercepts?
b)What is the axis of symmetry?
c)What is the vertex?
Answer:
a) (-1,0) and (3,0)
b) x=1
c) (1, -4)
Step-by-step explanation:
As you can see in the graph below, the x intercepts of this graph are at (-1,0) and (3,0), the axis of symmetry is x=1, and the vertex is at (1,-4). Hope this helps!
50 Points! Multiple choice algebra question. Photo attached. Thank you!
The expression that is equivalent to the trigonometry ratio (sin²θ + cos²θ)/tan²θ is (a) cot²θ
How to determine the expression that is equivalent to the trigonometry ratioFrom the question, we have the following parameters that can be used in our computation:
The trigonometry ratio given as
(sin²θ + cos²θ)/tan²θ
In trigonometry,
sin²θ + cos²θ = 1
So, we have the following representation
(sin²θ + cos²θ)/tan²θ = 1/tan²θ
Evaluate the quotient
(sin²θ + cos²θ)/tan²θ = cot²θ
Hence, the expression that is equivalent to the trigonometry ratio is (a) cot²θ
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precalculus problem need help
1. <C= 90 degree
AC = 13.25 unit
<B= 60 degree
2. <C= 90 degree
AC = 13.
<B= 60 degree
1. Using Sine law
sin C/4 = sin 30/2 = sin B/ AC
so, sin C/4 = 1/4
sin C = 1
C= 90 degree
and, <B= 180 - 30- 90= 60 degree
So, sin 30/2 = sin 60/ AC
1/4 AC = √3/2
AC = 2√3
2. Using Sine law
sin 30/ 7.65 = sin B / 15.3
1/15.3 = sin B/15.3
sin B= 1
B = 90 degree
and, <C= 180 - 90 - 30 = 60
So, 1/15.3 = sin 60/ C
C = 13.25
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⦁ Solve for x: 3|x – 7| = 15
SHOW WORK
\(3|x-7| = 15\\\\\implies |x-7| =\dfrac{15}3\\\\\implies |x -7| = 5\\\\\implies x -7 = 5 ~~ \text{or}~ x - 7 = -5\\\\\implies x = 12 ~~\text{or}~~ x = 2\)
The cost of buying salad from a salad bar is at least $4.50 per pound. Which inequality represents the price per pound of salad? A. x > 4.50 B. x = 4.50 C. x < 4.50 D. x > 4.50
Answer:
The cost of buying salad per pound) is more than or equal to $4.50.
Step-by-step explanation:
The inequality represents the cost of at least $4.50 will be x ≥ 4.50 thus option (A) is correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
The cost of salad is at least $4.50 thus means it is the minimum cost so x ≥ 4.50 refers to the cost equal and more than $4.50.
Hence "The inequality indicates that the price will be x ≥ 4.50, which must be at least $4.50".
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Determine the average rate of change of f (x) = x² - 10x + 5 over the interval [-4, 4].
=
-
Answer:
f ( x ) = ( x - 5 ) ² - 20
Step-by-step explanation:
1- Add the same value to both sides
f ( x ) = x ² - 10x + 5
2- Add 25 to the expression
f ( x ) + ? = x ² - 10x + ? + 5
3- Add 25 to the left-hand side
f ( x ) + ? = x ² - 10x + 25 + 5
4- Factor the expression
f ( x ) + 25 = x ² - 10x + 25 + 5
5- Move the constant to the right
f ( x ) + 25 = ( x - 5 ) ² + 5
6- Calculate
f ( x ) = ( x - 5) ² + 5 - 25
It will help me a lot if you count me as brainlist anyways good luck!
so this is a test that's due tomorrow and I don't understand anything (I'm probably gonna fail)
Answer:
20%
Step-by-step explanation:
760 over 950 is .8, so the difference is 20%
Answer this question
The domain and range for the function shown in the graph above include the following:
D. D: [-∞, ∞]
R: [-10, ∞]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-10, ∞] or y ≥ -10
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