A. The number of 7-card stud poker hands is 133,784,560 and the number of 7-card stud poker hands is 674,274,182,400.
B. The number of hands of 7-draw poker that contain the ace of hearts is 18,009,460.
C. The probability that a 7-card draw hand contains the ace of hearts is 0.135.
a) The number of 7-card draw poker hands can be calculated using the combination formula, which is:
\(^{n} C_{r}\) = n! / (r! * (n - r)!)
where n is the total number of cards in the deck (52) and r is the number of cards in each hand (7).
So, the number of 7-card draw poker hands is:
\(^{52} C_{7}\) = 52! / (7! * (52 - 7)!)
= 133,784,560.
The number of 7-card stud poker hands can be calculated using the permutation formula, which is:
\(^{n} P_{r}\) = n! / (n - r)!
where n is the total number of cards in the deck (52) and r is the number of cards in each hand (7).
So, the number of 7-card stud poker hands is:
\(^{52} P_{7}\) = 52! / (52 - 7)!
= 674,274,182,400.
b) To count the number of hands of 7-draw poker that contain the ace of hearts, we can treat the ace of hearts as a special card that must be included in each hand. Then, we need to choose the remaining 6 cards from the 51 cards that are not the ace of hearts.
So, the number of hands of 7-draw poker that contain the ace of hearts is:
\(^{51} C_{6}\) = 51! / (6! * (51 - 6)!)
= 18,009,460.
c) To calculate the probability that a 7-card draw hand contains the ace of hearts, we can use the formula:
P(event) = number of favourable outcomes / total number of possible outcomes
The total number of possible 7-card draw hands is 133,784,560, which we calculated in part (a).
The number of favourable outcomes is the number of hands of 7-draw poker that contain the ace of hearts, which we calculated in part (b).
So, the probability that a 7-card draw hand contains the ace of hearts is:
P(ace of hearts) = 18,009,460 / 133,784,560 ≈ 0.135
The required probability is 0.135.
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Pls help!! Zoom in to see better
Answer:
15/2/(9/2-41/8)=15/2(36/8-41/8)=15/2/-5/8=60/8/-5/8=60/-5=-12
Step-by-step explanation:
Combine the terms that can be combined. Indicate the others in descending powers of x or a.
25ab + 6a^2 - 3b^2 + 6
a senate committee has 8 republicans and 6 democrats. in how many ways can we form a subcommittee with 3 republicans and 2 democrats?
840 ways can we form a subcommittee with 3 republicans and 2 democrats
Given that
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant (unlike permutations). Three fruits, such as an apple, an orange, and a pear, for instance, can be combined into three different pairs: an apple and a pear, an apple and an orange, or a pear and an orange. A k-combination of a set S is officially defined as a subset of S's k unique elements. So, if and only if each combination contains the same elements, two combinations are said to be identical. (It is not important how each set's members are arranged.) If there are n elements in the set, then C kn is the number of k-combinations.
a senate committee has 8 republicans and 6 democrats.
now, we need to find how many ways can we form a subcommittee with 3 republicans and 2 democrats
= 8\(C_{3}\) × 6\(C_{2}\)
=\(\frac{8!}{5!3!}\) × \(\frac{6!}{4!2!}\)
=56 × 15
=840
840 ways can we form a subcommittee with 3 republicans and 2 democrats
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On July 8 , Jones Inc. issued an $74,200,6%,120-day note payable to Miller Company. Assume that the fiscal year of Jones ends July 31 . Using a 360 -day year, what is the amount of interest expense recognized by Jones in the current fiscal year? When required, round your answer to the nearest dollar. a. $4,452 b. $568 c. $284 d. $852
The amount of interest expense recognized by Jones Inc. in the current fiscal year for the $74,200, 6%, 120-day note payable is $852.
To calculate the interest expense, we need to determine the interest for the 120-day period using a 360-day year. The formula for calculating interest is Principal × Rate × Time.
In this case, the Principal is $74,200, the Rate is 6% (0.06 as a decimal), and the Time is 120 days divided by 360 days.
Interest = $74,200 × 0.06 × (120/360) = $852.
Therefore, the correct answer is option d. $852, which represents the amount of interest expense recognized by Jones Inc. in the current fiscal year.
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J1 J2 J3 J4 J5 A 10 11 14 9 14
B 14 13 11 13 13 C 7 12 12 15 15 D 12 13 9 17 12 E 16 15 10 16 18
Total assignment value using the data given above
I. Determine the smallest (minimum) assignment plan and value with the help of algorithm. Also, if there is an alternative solution, get it.
ii. Determine the largest (maximum) assignment plan and value with the help of algorithm. Also, if there is an alternative solution, get it.
The maximum value is 89. Smallest (minimum) assignment plan and value using the data given above:J1 J2 J3 J4 J5A 10 11 14 9 14B 14 13 11 13 13C 7 12 12 15 15D 12 13 9 17 12E 16 15 10 16 18
Now, the smallest (minimum) assignment plan can be determined with the help of the algorithm given below:Step 1: Reduce each row by the smallest value in that row. Then, create a new matrix (matrix C) using the values of these reduced rows.Step 2: In matrix C, reduce each column by the smallest value in that column. Then, create a new matrix (matrix D) using the values of these reduced columns.Step 3:
The number of lines required to cover all the zeros in matrix D is equal to the number of allocations in the assignment problem.Step 4: Assign to each zero in matrix D a new variable (x1, x2, ... xn) and find a feasible solution to the following equations.
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Suppose the alternative hypothesis of this test had been lower-tailed instead of two-tailed. How would this affect the conclusions of this test?
a. Unlike the two-tailed test, we would conclude that there is a difference between Pharaoh's translation and the translation of the other software.
b. Unlike the two-tailed test, we would conclude that there is no difference between Pharaoh's translation and the translation of the other software.
c. The results of a lower-tailed test are always opposite the results of a two-tailed test, so we would fail to reject the null hypothesis.
d. The conclusion would be the same as the two-tailed test. Although the p-value for the lower-tailed test is different, it is still less than alpha.
e. The conclusion would be the same as the two-tailed test. Although the p-value for the lower-tailed test is the same as the p-value for the two-sided test.
Option A. If the alternative hypothesis of the test had been lower-tailed instead of two-tailed, the conclusion of the test would be different.
Recall that a two-tailed test is used when the alternative hypothesis is that the population parameter is different from the null hypothesis value in any direction, while a lower-tailed test is used when the alternative hypothesis is that the population parameter is less than the null hypothesis value.
In the given scenario, if the alternative hypothesis of the test had been lower-tailed instead of two-tailed, we would have tested the following null and alternative hypotheses:
H0: Pharaoh's translation is not worse than the other software's translation.
Ha: Pharaoh's translation is better than the other software's translation.
In this case, we would have calculated the p-value for the lower tail of the sampling distribution, and compared it to the significance level alpha. If the p-value is less than alpha, we would reject the null hypothesis and conclude that Pharaoh's translation is better than the other software's translation. If the p-value is greater than alpha, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that Pharaoh's translation is better than the other software's translation.
Therefore, the correct answer to the question is option A: Unlike the two-tailed test, we would conclude that there is a difference between Pharaoh's translation and the translation of the other software.
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I NEED HELP ON THIS ASAP!!!!!!!
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
What does a calculus domain mean?The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
How to Determine a Function's Range?Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.
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What Is The Answer To My Question
I Do Not Understand It.║ Surface area using nets ║
Picture / Question Below
The surface area of the rectangular prism is 36 square units
How to find the surface area of the rectangular prism with help of net of the prism?
To find the surface area of the rectangular prism, we need to add up the areas of all six faces. We can use the net of the rectangular prism to visualize each face and calculate its area.
Here is the net of the rectangular prism with its dimensions labeled.
The top and bottom faces are both rectangles with dimensions 5×2, so each of their areas is 5 × 2 = 10.
The front and back faces are also rectangles with dimensions 5×2, so each of their areas is also 10.
Finally, the left and right faces are rectangles with dimensions 2×2, so each of their areas is 2 × 2 = 4.
Therefore, the total surface area of the rectangular prism is 2(10) + 2(4) + 2(4) = 20 + 8 + 8 = 36
Therefore, the surface area of the rectangular prism is 36 square units.
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6. Write the equation for the line: (Hint: there are two points given to you!) 1 (3-1) 4 Homework Packet 3,1-3143.pdf hit ng
. Write the equation for the line: (Hint: there are two points given to you!)
________________________
y= mx + b
the slope is m
or
(y - y1) = m (x - x1)
___________________
points (x,y)
point 1 (4, 4) x1 = 4; y1 = 4
point 2 (3 , -1) x2= 3; y2 = -1
The slope m = (y2- y1) / (x2 -x1)
m=(-1 - 4 )/( 3 - 4)
m= -5/-1 = 5
(In this case, you choose which point you want to put as point one and point two, you will always get the same answer)
____________________
(y - 4) = 5 (x - 4)
y= 5x -20 +4
y= 5x - 16
The equation for the line is y= 5x - 16
__________________
Do you have any questions regarding the solution?
what is the values of x and y if 10x-61+x+10=18y+5
Answer:
Part 1) The value of x is 21
Part 2 The value of y is 8
Step-by-step explanation:
step 1
Find the value of x
we know that
------> by supplementary angles (linear pair)
step 2
Find the value of y
we know that
----> by vertical angles
substitute the value of x and solve for y
Jennifer installs solar panels. Today it takes her 8
hours to install 2 solar panels. She plans to install
solar panels for 40 hours next week.
10 solar panels according to me is the answer
Answer: 10
Step-by-step explanation:
40 hours/8 hours = 5 hours
5 hours *2 solar panels = 10 solar panels
Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.
what percentage of persons who lose weight are able to maintain it for more than a year?
Answer: 20%
Step-by-step explanation:
5 + 2x/ 3x - 1 = 6/7
Step-by-step explanation:
5-1+0.85= -0.666x
4.85/-0.666= -0.666/-0.666x
x= -5.6
Help!!!!!! Thanks will make you brainily person
Answer:
your welcome
Step-by-step explanation: its 6(10)+180=5x
A is the Answer
Step-by-step explanation:
Have a good day
Simplify each expression by combining like terms.
-5a+ 3a =
Answer:
-2a
Step-by-step explanation:
add -5a with 3a
- - - - -
+++
^see, two negatives are left
Find the area of a rectangular garden that measures 4 feet by 6/7 feet.
Answer:
Step-by-step explanation:
area or rect = l*b
= 4*6/7
= 3.4285
Which of the following steps will speed up the reaction between a baking soda solution and a calcium chloride solution in a beaker?
Keep the beaker in a freezer.
Keep the beaker in sunlight.
Pour the solutions into a flat dish.
Pour the solutions into a narrow test tube.
Answer: Indeed It is b
Step-by-step explanation:
Please help me I really don't know how to do this so please. (BUT it might be easy for u)
Answer:ca,bc,and ab
Step-by-step explanation:
pls mark me brainliest and have a good day
Answer:
CA>BC>AB
Step-by-step explanation:
If you go to desmos graphing calculator and graph the triangle you can easily find out :)
18. (1) The value of cot π/4+Q)cot
(π/4 - Q
) is
d. Not-defined.
a. - 1
C. 1
b. 0
please help, I got 8 of these wrong already :(
Answer:
●{22,28,35} ○{5,12,13}○{25,70,74} ○{48,56,73}1
2
2
1
2
11
4. Given the matrices U =
1
-2
0
1
0❘ and V = -1
0
1
2, do the following:
3 -5
-1
a. Determine, as simply as possible, whether each of these matrices is row-equivalent to the identity matrix
b. Use your results above to decide whether it's possible to find the inverse of the given matrix, and if so, find it.
a) U and V are not row-equivalent to the identity matrix.
b) Both matrices are not invertible.
a) Let’s find the row-reduced echelon form of [UV].
The augmented matrix will be [(U|I2)], which is:
\(\begin{bmatrix}1 & -2 & 0 & 1 & 0 & 1\\0 & 1 & 0 & -2 & 0 & -5\\0 & 0 & 1 & 1 & 0 & -3\\0 & 0 & 0 & 0 & 1 & -2\end{bmatrix}\)
Since the matrix [UV] is not equal to the identity matrix, then the matrices U and V are not row-equivalent to the identity matrix.
II) Let's find the row-reduced echelon form of [VU].
The augmented matrix will be [(V|I2)], which is:
\(\begin{bmatrix}-1 & 0 & 1 & 0 & 1 & 0\\0 & 1 & 0 & -2 & 0 & 0\\0 & 0 & 1 & 1 & 0 & 0\\0 & 0 & 0 & 0 & 1 & 0\end{bmatrix}\)
Since the matrix [VU] is not equal to the identity matrix, then the matrices V and U are not row-equivalent to the identity matrix.
b) Both matrices are not invertible, since they are not row-equivalent to the identity matrix.
a) U and V are not row-equivalent to the identity matrix.
b) Both matrices are not invertible.
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Rachel is a stunt driver, and she's escaping from a building that is about to explode! the variable d models rachel's distance from her exit (in meters) ttt seconds after the cameras began recording the stunt. d=-38t + 220, what is rachel's speed?
Its speed of Rachel would be 30 meters per second.
Given that,
Stunt driver Rachel is trying to get out of a building that is going to blow up.
Here, the equation is,
\(d = - 38t + 220\)
Where, variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.
Now, Velocity is the rate at which a distance changes over time.
\(d = - 38t + 220\)
\(\dfrac{d(d)}{dt} = - 38\)
Hence, Speed is the magnitude of velocity.
\(|- 38| = 38\)
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A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o
feet.
. She travels down 20.6 feet.
. She then rises 12.5 feet.
• Next, she descends a second time, 32.4 feet.
How many feet must she now ascend to get back to
sea level?
Based on the illustration given above, the feet that she now need to ascend to get back to sea level is 40.5.
What is the sea level about?Note that the first descend was 20.6 - 12.5 =
8.1 feet
Then she drop 32.4 feet again
So to get back up she need to add:
= 32.4 feet + 8.1 feet
= 40.5
Therefore, based on the calculation given above, the feet that she now need to ascend to get back to sea level is 40.5.
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assume the weights of painkiller pills are normally distributed with a mean of 350 mg and a standard deviation of 7 mg. if 81 pills are randomly selected, find the probability that they have a mean weight that is less than 345 mg. include a sketch of the density curve in your answer.
The probability that a sample of 81 painkiller pills has a mean weight less than 345 mg can be found using the properties of the normal distribution.
We are given that the weights of painkiller pills are normally distributed with a mean of 350 mg and a standard deviation of 7 mg. Since we are interested in the mean weight of a sample of 81 pills, we can use the Central Limit Theorem, which states that the sample mean of a large enough sample size will be approximately normally distributed, regardless of the underlying distribution.
To calculate the probability, we need to standardize the sample mean using the Z-score formula:
Z = (X - μ) / (σ / sqrt(n))
Where:
X is the sample mean,
μ is the population mean,
σ is the population standard deviation, and
n is the sample size.
In this case, X = 345 mg, μ = 350 mg, σ = 7 mg, and n = 81.
Calculating the Z-score:
Z = (345 - 350) / (7 / sqrt(81))
Z = -5 / (7 / 9)
Z ≈ -5 / 0.777
Z ≈ -6.43
To find the probability corresponding to this Z-score, we can refer to the standard normal distribution table or use statistical software. Looking up the Z-score of -6.43 in the table, we find that the probability is extremely close to 0 (approaching 0 but not exactly 0).
The sketch of the density curve for the normal distribution would show a symmetric, bell-shaped curve centered at the mean of 350 mg. The probability we calculated represents the area under the curve to the left of the Z-score -6.43, which corresponds to the probability of the sample mean weight being less than 345 mg.
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Need help with this geometry assignment due soon
Answer:
1. x = 20
2. x = 60
3. x = 30
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
I agree with the person who answered before me it's 100% correct.
SHOULD GIVE THEM THE BRAINLIEST!!!
The power rule for the logarithms states that logbMp = _____ The logarithm of a number with an exponent is the _______ of the exponent and the logarithm of that number.
The power rule for logarithms states that logb(M^p) = p * logb(M). The logarithm of a number with an exponent is the product of the exponent and the logarithm of that number.
The power rule states that logb(M^p) = p * logb(M), where M, b, and p are positive real numbers.
To understand this rule, let's consider an example. Suppose we have log2(8^2). According to the power rule, this is equivalent to 2 * log2(8).
In this case, M is 8, b is 2, and p is 2. The power rule tells us that we can bring the exponent (p) down and multiply it with the logarithm of the base (b) raised to the number (M).
So, log2(8^2) can be simplified as 2 * log2(8), which is 2 * 3 = 6.
In general, the power rule allows us to simplify logarithmic expressions by bringing the exponent down and multiplying it with the logarithm of the base.
This rule is particularly useful when dealing with complex logarithmic expressions and simplifying them to a more manageable form.
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please help if you know this answers , thanks so much
Answer:
c
Step-by-step explanation:
please help!
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)
A company makes electronic gadgets. One out of every 44 gadgets is faulty, but the company doesn't know which ones are faulty until a buyer complains. Suppose the company makes a $5 profit on the sale of any working gadget, but suffers a loss of $80 for every faulty gadget because they have to repair the unit.
Required:
Can the company expect a profit in the long term?
In the long term, the company can expect a profit despite the presence of faulty gadgets and the expected profit of $135 is positive.
To determine this, we can analyze the expected value of each gadget sold. Let's assume that the company sells 44 gadgets. On average, one gadget will be faulty. Therefore, the company will make a profit of $5 for 43 working gadgets and incur a loss of $80 for the one faulty gadget.
The expected profit from the sale of 44 gadgets can be calculated as follows:
Expected profit = (Profit per working gadget * Number of working gadgets) - (Loss per faulty gadget * Number of faulty gadgets)
Expected profit = ($5 * 43) - ($80 * 1)
Expected profit = $215 - $80
Expected profit = $135
As the expected profit of $135 is positive, the company can expect to make a profit in the long term. Despite the cost associated with repairing faulty gadgets, the profit from selling working gadgets outweighs the losses incurred from repairing faulty ones. It is important to note that this analysis assumes the faults are random and not systemic, and that the company can accurately repair and resell the faulty gadgets.
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Jose has $34 to spend at the Texas State Fair. If the entrance ticket costs $12, then how much money does jose have to spend on food and games?
ONE-STEP EQUATIONS APPLICATION II 6TH MATH
WITH EQUATION!
Answer:
22
Step-by-step explanation:
34-12=22 you just basically subtract 34 and 12 and it gives you 22 but theres the equation too