There are 1144 hands of three cards dealt from a standard deck that contains cards from only one suit.
To calculate the number of hands of three cards dealt from a standard deck that contains cards from only one suit, we can use the following approach:
Choose one of the four suits - this can be done in 4 ways.
Choose three cards from the chosen suit - this can be done in (13 choose 3) ways.
As we have only one suit in our hand, we cannot choose any cards from the other three suits.
Therefore, the total number of hands of three cards that contain cards from only one suit is:
4 * (13 choose 3) = 4 * (286) = 1144
Hence, there are 1144 hands of three cards dealt from a standard deck that contains cards from only one suit.
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Combine like terms to create an equivalent expression. 1.3 b 7.8 − 3.2 b
The equivalent expression is -1.9b + 7.8.
What is an equivalent phrase?There is a concept known as an analogous expression, which is an expression that has the same value as another expression but has a different appearance.
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
Combine similar phrases now:
The definition of like words is the terms that have the same variable raised to the same power. Only the numerical coefficients can change in algebra.
When we combine the term b's coefficient, we get
1.3b + 7.8–3.2b
= (1.3−3.2)⋅b + 7.8
By condensing the equation, we obtain
= (- 1.9) +b + 7.8
= −1.9b + 7.8
There is a condensed equivalent formula of -1.9b + 7.8.
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10000+2000003
ghsrhrs
- BRAINLIEST answerer
Answer: 2010003
Step-by-step explanation: because 10000+2000003= 2010003
How many unique 4 digits integers ( excluding leading zeros) are there that the sum of the 4 digits is 6?
There are 84 unique 4-digit integers (excluding leading zeros) whose sum of the digits is 6.
To find the number of unique 4-digit integers (excluding leading zeros) where the sum of the digits is 6, we can use a combinatorial approach.
Let's consider the four digits as four distinct positions: A, B, C, and D. The sum of the four digits is 6, so we need to distribute these six units among these four positions.
We can solve this problem using stars and bars. Imagine we have six stars (representing the six units) and three bars (representing the three dividers between the positions). The bars help us separate the units into four distinct positions.
For example, if we have the configuration "* | * * | * * | *," it represents the digits 1, 2, 2, and 1. The sum of these digits is 6.
The number of ways to arrange the six stars and three bars is given by the binomial coefficient (6 + 3 choose 3). Using the formula for combinations, we have:
(6 + 3) C 3 = (9 C 3) = 9! / (3! * (9 - 3)!) = 84.
So, there are 84 unique 4-digit integers (excluding leading zeros) whose sum of the digits is 6.
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Suppose that N(t) represents the population of Miamit years after 1990. a) Using function notation, express the population of Miami 5 years after 1990 b) Explain the meaning of N(9) c) Using function notation express the population that is 45,000 more than the population of Miami in the year 1997 d) Using function notation, express the population of Miami k years after 1990 e) Using function notation express the change in the population of Miami from 1995 to 1998 f) What does N(11) - N(7) repre 2 represent in the context of the question? 11-7 8) Use function notation to express the fact that the population of Miami in 2008 was 431,200 h) Explain what the solution of the equation N(t) = 412,000 represents.
Function notation is a way of representing mathematical functions using symbols. In function notation, a function is represented by a single letter, such as "f" or "g," followed by a set of input values in parentheses. For example, f(x) represents a function of x, where the value of f for a given x can be found by evaluating the function.
Function notation is commonly used in mathematics to simplify expressions and make it easier to understand mathematical relationships between variables.
The following function notations represent the following given conditions:
a) N(5) represents the population of Miami 5 years after 1990.
b) N(9) represents the population of Miami 9 years after 1990, or in the year 1999.
c) N(1997) + 45,000 represents the population of Miami which is 45,000 more than the population in 1997.
d) N(1990 + k) represents the population of Miami k years after 1990.
e) N(1998) - N(1995) represents the change in the population of Miami from 1995 to 1998.
f) N(11) - N(7) represents the change in the population of Miami from 7 years after 1990 to 11 years after 1990.
g) N(2008) = 431,200 represents the population of Miami in 2008 as being 431,200.
h) The solution of the equation N(t) = 412,000 represents the year (or years) when the population of Miami was 412,000.
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does anyone know this?
what is the solution of the equation. Find the value of y when x equals 1 9x+7y= -12
Answer:
-3
Step-by-step explanation:
Since x=1, we can simplify the equation to 9+7y=-12.
To find the value of 7y, we first have to find what is missing.
-12-9=-21, so 7y has to be equal to -21. -21/7 equals -3, so y=-3.
Divide 90/10 pleasei need the answer
Answer:
ok so how many times does 10 go into 90
1.10
2.20
3.30
4.40
5.50
6.60
7.70
8.80
9.90
9 times so
9
Hope This Helps!!!
Solve for x.
-2(x + 1/3) +9x = 4
Enter your answer as a fraction in simplest form in the box.
X =
Pls help
Answer:
x= 2/3
Step-by-step explanation:
hiiiiiiiiiiiiiiiiiii
solve 4x - 7 < 7 or -2x + 13 < 5
Answer:
1. x<7/2
2. x>4
Step-by-step explanation:
hope this helps
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?
Answer:
3.16666667 tons
Step-by-step explanation:
hope this helps have a good evening
solve by substitution
x=2 y + 7 3 x - 2 y =3
Round each mixed number to the nearest whole number. Then, estimate the product.
870 x 14
_______
Answer:
12180
Step-by-step explanation:
If f(-1) for the polynomial….
Answer:
Yes ,because (x+1) is the factor of all degree 4 polynomial
Find two diffefent pairs of parametric equations to represent the graph of y=2x^2 −3.
HELP WILL GIVE THE MOST POINTS IT LETS ME NEED ANSWER SOON
Answer:
c. -5x - 2 = -42
Step-by-step explanation:
Have a nice day! :-)
Answer:
-5x-2 = -42
Step-by-step explanation:
less than means you do this after what comes next
Product of a number and -5
-5x
Two less than
-5x -2
is means equals
-5x-2 = -42
I need this quickkk pleaseeeee
An airplane is preparing to land at an airport. It is 35,400 feet above the ground and is descending at the rate of 3,300 feet per minute. At the same airport,another airplane is taking off and will ascend at the rate of 2,600 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?
They will be at the same altitude in minutes, when their altitude will be feet.
The time at which the planes are at the same height is given as 6 minutes.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The expression for the height of the two airplanes in terms of time t is given as,
For the first airplane it is 35400 - 3300t,
And, for the second it is 2600t.
When, the two airplanes are at the same height the following equation can be written,
35400 - 3300t = 2600t
=> 35400 = 3300t + 2600t
=> 5900t = 35400
=> t = 6
Hence, both the planes are at the same height after 6 minutes.
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The ratio a-1:b+4 is in the ratio 5:7. Express b in terms of a
The solution for b in the ratio is b = -4 + 5(a - 1)/7
How to determine the solution for bFrom the question, we have the following parameters that can be used in our computation:
The ratio a-1:b+4 is in the ratio 5:7.
Using the above as a guide, we have the following:
a - 1 : b + 4 = 5 : 7
Express the ratio as a fraction
So, we have the following representation
(a - 1)/(b + 4) = 5/7
This gives
7(b + 4) = 5(a - 1)
Divide both sides by 7
b + 4 = 5(a - 1)/7
So, we have
b = -4 + 5(a - 1)/7
Hence, the solution is b = -4 + 5(a - 1)/7
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Instructors can use 32-count phrasing to track time and reps during class. At 128 BPM, how many seconds will a single 32-count phrase take to complete
At 128 BPM, a single 32-count phrase takes 15 seconds to complete.
Instructors use 32-count phrasing as a method to track time and repetitions during class.
To determine how many seconds a single 32-count phrase takes to complete at 128 BPM (beats per minute), we can use the following calculation:
First, find the time per beat:
1 minute / 128 beats = 0.46875 seconds per beat
Next, multiply the time per beat by the number of counts in the phrase:
0.46875 seconds per beat * 32 counts = 15 seconds
So, at 128 BPM, a single 32-count phrase takes 15 seconds to complete. This phrasing method helps instructors maintain a consistent tempo and allows for smooth transitions between exercises in class, ensuring an effective and enjoyable workout experience.
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\((4x+6)3=-x+5\)
Answer:
x = -1
Step-by-step explanation:
(4x +6)3 = -x + 5 \(\longmapsto\\\) Distribute 3 to 4x + 6
(4x)3 + (6)3 = -x + 5
12x + 18 = -x + 5 \(\longmapsto\\\) Subtract 5 from both sides
12x + 18 - 5 = -x + 5 - 5
12x + 13 = -x \(\longmapsto\\\) Subtract 12 x from both sides
12x + 13 - 12x = -x - 12x
13 = -13x \(\longmapsto\\\) Divide both sides by -13
13/-13 = -13x/13
-1 = x
-Chetan K
Simplify -4.5+4.2+5.6-7.3
Answer:
-2
Step-by-step explanation:
Hope you do well on your assignment!
Answer:
-2 is the answer
Step-by-step explanation:
awnser photo quick please #7
Answer:
prettyy sure it is 59
Step-by-step explanation:
good luck
Answer:
C. 59
Step-by-step explanation
I don't see a 17 in the data set, so I would say the answer is C. 59, because all the other numbers are in the 70s and this one is not.
A new car is for lease for $192 per month for 36 months, with a down payment of $358. the lease allows for 12,000 miles per year and includes a $0.29 per mile charge for miles driven in excess of that amount. at the end of the lease, the car has been driven a total of 45,425 miles. what is the cost for three years for this vehicle?
Answer:
2 733.25 + 7270 = 10 003.25
Step-by-step explanation:
192 * 36 = 6 912 +358 = 7 270
45425 - 36000 ( allowed miles for 3 years )
9 425 * 0.29 = 2 733.25
A solid cylinder is cut vertically through its center. Its radius and height are 6 cm and 15 cm, respectively. What is the area of the resulting shape?
The area of the resulting shape is 90 sq meters
How to determine the area of the resulting shape?The cylinder represents the given parameter
Such that we have the following dimensions
Radius = 6 cm
Height = 15 cm
When the solid cylinder is cut vertically through its center, we have a rectangle with the following dimensions
Length = 6 cm
Width = 15 cm
The area is then calculated as
Area = Length * Width
So, we have
Area = 6 * 15
Evaluate
Area = 90
Hence, the area is 90 square meters
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Here we are given two scenarios. Identify whether it is a
parameter or statistic and give the correct notation. Scenario 1: To better understand pet ownership in Washtenaw
County, the Huron Valley Humane Society sent out a survey to a
sample of 20 families. The average number of pets owned by the 20
families was computed.
This would be a: a). parameter b). statistic The correct notation would be:
a). μ
b). x bar
c). p
d). p hat Scenario 2: The proportion of all Pioneer High School graduates
that have taken AP statistics at Pioneer.
This would be a: a). parameter b). statistic The correct notation would be:
a). μ
b). x bar
c). p
d). p hat
Scenario 1: This is a statistic because it is computed from a sample. The correct notation would be x bar. So the option b is correct.
Scenario 2: This is a parameter because it refers to a characteristic of the entire population. The correct notation would be p. So the option c is correct.
Scenario 1: A survey was carried out by the Huron Valley Humane Society by mailing a questionnaire to a sample of 20 families. They calculated how many pets on average each of these 20 families possessed.
In this instance, a computed value based on the sample represents the average number of pets owned by the 20 families. It serves as a representative of the sample and is employed to calculate the typical number of pets kept by Washtenaw County families.
It is a statistic because it was calculated using the sample data. x bar (pronounced 'x bar'), which denotes the sample mean, is the appropriate notation for the average number of pets owned by the 20 families. So the option b is correct.
Scenario 2: We are curious in the percentage of all Pioneer High School alumni who have taken AP statistics at Pioneer, according to the question.
In this case, the percentage of graduates from Pioneer High School who have taken AP statistics is the precise characteristic that is being discussed.
It is a parameter since the characteristic of the entire population is what we are interested in. When expressing the percentage of Pioneer High School alumni who have taken AP statistics, the correct notation is p, where p is the population proportion. So the option c is correct.
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Write a decimal and a fraction for the shaded part of the diagram.
A. 0.60; 160/100
B. 0.63; 163/100
C. 1.60; 160/100
D. 1.63; 1 63/100
Judith has recently taken out a mortage for $175,000 at a rate of 3.2%, compounded semi-annually, with an amortization period of 22 years. How much interest will she pay in the 40th month? Her payments are monthly. A $401 B $414 C $508 D $493
The amount of interest Judith will pay in the 40th month is $401. Thus, the correct answer is option A.
To calculate the amount of interest Judith will pay in the 40th month, we need to determine the remaining mortgage balance at that time. With an amortization period of 22 years (264 months), after 40 months, there will be 264 - 40 = 224 months remaining.
Using the formula for mortgage balance, we can find the remaining balance:
Remaining Balance = Principal * [((1 + r)^n) - ((1 + r)^m)] / [((1 + r)^n) - 1]
Where Principal = $175,000 (initial loan amount), r = 3.2% / 2 = 1.6% (semi-annual interest rate), n = 22 * 2 = 44 (total number of semi-annual periods), and m = 224 / 2 = 112 (remaining number of semi-annual periods).
Substituting the values into the formula, we find:
Remaining Balance = $175,000 * [((1 + 0.016)^44) - ((1 + 0.016)^112)] / [((1 + 0.016)^44) - 1] = $147,334.89
The interest paid in the 40th month is the difference between the previous month's balance and the remaining balance:
Interest = Previous Balance * Monthly Interest Rate = $175,000 - $147,334.89 = $27,665.11
Therefore, Judith will pay approximately $401 in interest in the 40th month. Thus, the correct answer is option A.
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It takes Alex 22 minutes to walk from his home to the store. The function /(x) - 2. 5x models the distance that Alex
to go to the store. What is the most appropriate domain of the function?
A)
OS XS 55
(B) osxs 22
OS XS 8. 8
D
OS XS 2. 5
The most appropriate domain of the function /(x) - 2.5x models is (A) OS XS 55.The function / (x) - 2.5x models the distance Alex has to go to the store. To find the most appropriate domain of the function, we need to consider the given problem carefully. Alex takes 22 minutes to walk from his home to the store.
Therefore, it is evident that he cannot walk for more than 22 minutes to reach the store. It is also true that he cannot cover a distance of more than 22 minutes. Hence, the most appropriate domain of the function would be (A) OS XS 55. Therefore, the most appropriate domain of the function /(x) - 2.5x models is (A) OS XS 55.
This is because Alex cannot walk for more than 22 minutes to reach the store, and he cannot cover a distance of more than 22 minutes.
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which is greater - 3/4 or - 5/6
Answer:
-3/4
Step-by-step explanation:
see picture below
Answer:
\(-3/4~ > -5/6\)
Step-by-step explanation:
Using the given inputs
\(3/4~and~5/6\)
The least common denominator (LCD) is 12.
Rewriting as equivalent fractions with the LCD:
\(-\frac{3}{4} ~becomes-\frac{9}{12}\)
And
\(-\frac{5}{6}~becomes-\frac{10}{12}\)
Comparing the numerators of the equivalent fractions we have
\(-9/12 > -10/12\)
Therefore, the comparison shows:
\(-3/4~ > -5/6\)
Hope this Helps! :3
have a great day! :3
A square has a side length of 6 inches.it is enlarged and the new side length is 18. What is the scale factor
Answer:
2
Step-by-step explanation:
It's 2
Can someone help me plsss pls pls asap it’s due tmrw
Answer:
hello
the answer for questions 5) is:
θ = 30°, R = 6 ft
Arc = CE = Rθ ----> CE = 30 × 6 = 180
and the answer for question 6) is:
square area = A²
big square area = 4 × 4 = 16
small square area = 2 × 2 = 4
circle area = πr²
big circle area = 3.14 × (2)² = 12.56
small circle area = 3.14 × (1)² = 3.14
area of the bigger shaded region = 16 - 12.56 = 3.44
area of the smaller shaded region = 4 - 3.14 = 0.86
The cost of 7 sandwiches and 5 milkshakes is $79. The cost of 2 sandwiches and 5 milkshakes is $44. How much does one sandwich cost and one milkshake cost?
Cost of one sandwich is $7 and cost of milkshake $5.
What is an equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
According to question:
let cost of one sandwich be x and cost of milkshake be y .
7x + 5y = $79 -------(1)
2x + 5y = $44 -------(2)
subtracting equation 2 from 1 , we get
5x = 35
x = $7
so cost of one sandwich is $7.
now substituting value of x in equation 1 , we get
7(7) + 5y = 79
49 +5y = 79
5 y = 20
y = 4
so cost of one milkshake is $5.
Hence cost of one sandwich is $7 and cost of milkshake $5.
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