There are 5,148 different poker hands containing six cards in a 40-card deck.
In a deck of 40 cards, the number of different poker hands containing six cards is 5148. Let's see how we can arrive at this answer:
It's important to note that in poker, the order of the cards in a hand doesn't matter. For example, the hand A♠️K♠️Q♠️J♠️10♠️ is considered the same as the hand 10♠️J♠️Q♠️K♠️A♠️.
In a 40-card deck, there are:
- 10 cards in each suit (hearts, diamonds, clubs, spades)
- 4 suits (hearts, diamonds, clubs, spades)
To determine the number of different poker hands containing six cards in a 40-card deck, we can use the combination formula: nCr = n! / (r!(n - r)!), where n is the total number of items and r is the number of items chosen at a time.
Let's substitute the values: n = 40 and r = 6
nCr = 40C6 = 40! / (6! x (40 - 6)!) = 40! / (6! x 34!) = (40 x 39 x 38 x 37 x 36 x 35) / (6 x 5 x 4 x 3 x 2 x 1) = 3,838,380 / 720 = 5,148
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Can you simply these fractions?
Answer:
\( \frac{1}{5 } = \frac{3}{8} = \frac{3}{5} = \frac{3}{4} = \frac{3}{7} = \frac{1}{9} = \frac{4}{5} = \frac{5}{6} = \frac{2}{3} = \frac{1}{10} \)
Answer:
4/20= 1/5
9/24= 3/6
18/30= 3/5
5/45= 1/9
20/25= 4/5
10/12= 5/6
6/9= 2/3
4/40= 1/10
Step-by-step explanation:
What i did was use different numbers to divide them with the numerator and denominator.
help fast please geometry
please help asap !!
Solve the system of equations 2x + 3y = 40 and -2x + 2y = 20 A.x = 10 , y = 20 B. x=-10 , y = 20 C. x = -6 , y = 4 D. x = 2 , y = 12
Answer:
D is answer
Step-by-step explanation:
-2x + 2y = 20
2x = 40-3y
so -(40-3y)+2y =20
-40+3y+2y = 20
5y = 60
y = 12
2x = 40-3y
2x = 40-3(12)
2x = 40-36
2x = 4
x = 2
so x = 2 , y = 12
The H.C.F of 12,15 and 60 is
Answer:
3
Step-by-step explanation:
When finding their H.C.F, we can list out their prime factors first.
12: 2² × 3
15: 3 × 5
60: 2² × 3 × 5
3 is the only common prime factor between 12, 15 and 60, so it is the H.C.F.
Write an explicit formula for an, the nth term of the sequence 7, 12, 17,
Step-by-step explanation:
I can't really remember this but it should be
5n +2
Something like this, I am not sure but when you fix in the values you'll get the answer. Do you understand what I'm saying?
What is the slope of the line on the graph?
The critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is:_____.
The critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96
For given question,
We need to find the critical values for a 2-tailed sign test for 13-coin flips.
We have been given an alpha level of 0.05 that is 5%
⇒ α = 0.05
We know that in hypothesis testing, a critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.
These are the points on the distribution which have the same probability as your test statistic, equal to the significance level α.
The critical values are assumed to be at least as extreme at those critical values.
Now we find 1 - α
⇒ 1 - α = 1 - 0.05
⇒ 1 - α = 0.95
Because it is a two-tailed test, we are going to divide 0.95 by 2.
⇒ 0.95/2 = 0.475
Now we look in the z-table to find out cutoff points.
For the area of 0.475, the critical values is ± 1.96 .
Therefore, the critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96
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Please help me!
Solve for v.
124 - v = 175
Answer:
124-v=175
124-175=v
v= -51
the results generated in the map phase are combined in the ________ phase.
The results generated in the map phase are combined in the _reduce_ phase.
In maps, the "reduced phase" refers to a technique used to remove the phase ambiguity present in interferometric synthetic aperture radar (InSAR) data. InSAR uses radar to measure the distance between a satellite or aircraft and the ground and can be used to create detailed maps of changes in the surface of the earth over time.
However, because InSAR data is collected using radar waves, which are sensitive to the phase of the signal, the data can be affected by phase ambiguities. The reduced phase technique is used to remove these ambiguities and create more accurate maps.
Therefore, The results generated in the map phase are combined in the _reduce_ phase.
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If m∠AED = 35°, what is m∠ABC?
The measure of angle ABC is given as follows:
m < ABC = 145º.
What are supplementary angles?Two angles are defined as supplementary angles when the sum of their measures is of 180º.
In a parallelogram, we have that the opposite angles are supplementary.
The opposite angles for this problem are given as follows:
<AED.<ABC.Hence the measure of angle ABC is given as follows:
m < ABC + 35º = 180º.
m < ABC = 145º.
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The next model of a sports car will cost 14.2% less than the current model. The current model costs $34,000. How much will the price decrease in dollars?
Answer: = $29172
Step-by-step explanation:
34,000 - 14.2% = $29172
Solve the missing variable
Answer:
110°
Step-by-step explanation:
Angles on a quadrilateral always add up to 360°.
So, 100+95+55 = 250.
360-250 = 110°
True or false? with regard to resistance training for youth, progression should be based on postural control and not the amount of weight that can be used.
The given statement "regard to resistance training for youth, progression should be based on postural control and not the amount of weight that can be used." is true.
In order to create sufficient motor output to maintain a controlled, upright posture, our central nervous system (CNS) manages sensory input from those other systems in a process called as postural control. The primary sensory receptors involved in postural control and balance are the somatosensory, vestibular, and visual systems.
Postural control's 2 main objectives are postural orientation and balance.
For the purposes of carrying a particular activity, postural orientation entails the ability to maintain an acceptable relationship between the body's parts (ortho) and between the and the environment (using various sensory inputs).
Postural stability is accomplished when sensorimotor mechanisms are coordinated to maintain the body's center of mass across both identity and externally induced stimuli.
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1/3x8+7
plese help me
whith this prolbm
What is one of the zeros of the function shown in this graph?
Answer:
-4 or 2Step-by-step explanation:
the x-intercepts of the graph are the zeros of the quadratic function
Joe paid 14.00 for a board game this is 70 of the original price what was the original price
Answer:4.2
Step-by-step explanation:
14 times 70% subtracted from 4.2
The original price or cost price of a board game is 20.
What is cost price?The cost price is the price at which "goods are bought by merchant or retailer".
According to the question,
Joe paid 14.00 for a board game which is 70% of the original price or cost price.
In order to find cost price or original price. Let 'x' be the original price or cost price
70% = 14
100% = x
x = \(\frac{1400}{70}\) [cross multiplication]
=20
Hence, the original price or cost price of a board game is 20.
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Understanding the ConceptsIn Exercises 7 and 8, fill in each blank with the appropriate word or phrase.7. To perform a t-test when the sample size is small, the sample must show no evidence of strong and must contain no .
Answer:
7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.
Step-by-step explanation:
These are the two conditions required for performing a t test
- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.
- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.
- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.
While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.
What is the solution to this system of linear equations?
7x – 2y = –6
8x + y = 3
(–6, 3)
(0, 3)
(1, –5)
(15, –1)
Answer:
de correct one is
x 0
y 3
hope u got it
It takes jada 1 1/2 hours to mow her lawn. it takes kam half as long to mow his lawn. how long in hours does it take kam to mow his lawn?
Answer:
0.75 hours
Step-by-step explanation:
1 1/2 hours divided by 2 is 0.75
(where 1 1/2 can be written as 1.5).
In minutes: half of 90 minutes is 45 minutes.
Suppose your multiple regression output summary from computerized software indicated that there was a significant association between your outcome and response variables while controlling for the effects of two different co-variables. However, your R2 calculation was only 11.5%. What can be interpreted from the results
Based on the information provided, it appears that the regression model has found a statistically significant relationship between the outcome variable and the response variables while controlling for the effects of the two co-variables.
However, the R2 value of only 11.5% suggests that the model is explaining only a small portion of the variability in the outcome variable. This may indicate that there are other important factors that are not being accounted for in the model. It is also possible that the co-variables included in the model are not strong predictors of the outcome variable. Further investigation and analysis may be needed to fully understand the relationship between the variables and to improve the predictive power of the model.
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Can someone answer this for me?
Answer: as per question statement
we need to set up an equation first
p(t)=1200e(0.052*t)
they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present
we need to find population at t=6
we need to plug t=6 in p(t).
P(6)=1200e(0.052*6)=1639.38
1638.38 bacteria were present at that time t=6
Step-by-step explanation: I hope this helps.
Find the following quotient. Write the answer in the standard 2-9i form: 3-8i
The quotient is (78 + 11i) / 85. To find the quotient in the standard 2-9i form, we need to divide the numerator by the denominator.
Let's divide 3-8i by 2-9i. To simplify this division, we can use the complex conjugate of the denominator. The complex conjugate of 2-9i is 2+9i.
Now, we multiply both the numerator and the denominator by the complex conjugate of the denominator:
(3-8i) * (2+9i) / (2-9i) * (2+9i)
Expanding the numerator and the denominator:
(6 + 27i - 16i - 72i^2) / (4 + 18i - 18i - 81i^2)
Simplifying the terms:
(6 + 11i - 72i^2) / (4 - 81i^2)
Since i^2 is equal to -1, we can substitute:
(6 + 11i - 72(-1)) / (4 - 81(-1))
Simplifying further:
(6 + 11i + 72) / (4 + 81)
(78 + 11i) / 85
78/85 + (11/85)i
Therefore, the quotient in the standard form is (78 + 11i) / 85.
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Find the value of X.
Answer:
In My Knowledge
Option G. 10.4cm is the answer
is there more options
if yes please tell me
Find the measure of
On solving the provided question, we can say that in the parallel lines we have 14x +21 = 87 - 2x +> 12x = 66 =>. x = 10.5
what is parallel lines?Parallel lines in geometry are coplanar infinite lines that don't intersect anywhere. In a given three-dimensional space, parallel planes are those that never cross. Curves with a constant minimum distance between them and no points of contact or intersection are said to be parallel. Two lines that are in the same plane, equally spaced apart, and never intersect are referred to as parallel lines in geometry. Either horizontal or vertical can apply. Parallel lines can be noticed in everyday objects like railroad tracks, rows of notebooks, and pedestrian crossings.
here,
14x +21 = 87 - 2x
12x = 66
x - 22/4
x = 11/2
x = 10.5
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Use the function $f\left(x\right)\ =\ 2^x$ to answer the following question.Over which interval is the average rate of change the greatest for $f\left(x\right)$ ?
The average rate of change of f(x) over the interval [-1, 1] is -1.
To find the average rate of change of f(x) over the interval [-1, 1], we need to use the formula:
Average rate of change = [f(1) - f(-1)] / [1 - (-1)]
First, let's find f(1) and f(-1):
f (x) = x² - x - 1
f(1) = 1 - 1 - 1 = -1
f(-1) = (-1)² - (-1) - 1 = 1
Now we can plug these values into the formula:
Average rate of change = (-1 - 1) / (1 - (-1))
= -2/2
= -1
Therefore, the average rate of change of f(x) over the interval [-1, 1] is -1.
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Complete question is,
f(x)=x^2-x-1 , average rate of change of f over interval -1 greater than or equal to x less than or equal to 1
the value given to a place a digit has in a number is called its
Answer:
place value
Step-by-step explanation:
Hope that this is helpful.
Let us suppose a population size of 67 million, and innovation parameter of 0.005 and imitation parameter of 0.84 for Color TV. Estimate how many new users would be added during time period 7.
To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.
The Bass diffusion model is given by the formula:
\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)
where:
- N(t) represents the cumulative number of adopters at time \(t\).
- p is the innovation parameter, representing the coefficient of innovation.
- q is the imitation parameter, representing the coefficient of imitation.
- e is the base of the natural logarithm.
Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.
\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)
Substituting the given values into the equation:
\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)
Evaluating the expression will give us the estimated number of new users added during time period 7.
In LaTeX, the solution can be represented as:
\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)
After evaluating this expression, you will obtain the estimated number of new users added during time period 7.
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The diagram shows a sketch of the curve y = sin xº.
YA
Р
Q
x
a) Write down the coordinates of the point P.
b) Write down the coordinates of the point Q.
]
Feedback
Answer:
Point P is \((\frac{\pi}{2},1)\)
Point Q is \((\pi,0)\)
Step-by-step explanation:
We know that the function \(y=sin(x)\) has a period of \(2\pi\) and that it oscillates between \(-1\leq y\leq1\). So, point P must be \((\frac{\pi}{2},1)\), and point Q must be \((\pi,0)\).
Can you help me with explanation will give brainiest
Answer:
Area of rectangular garden = lxb = 10*5
= 50 sq. inch
when area increases by six times
new area = 50*6 = 300 sq inches
now,
let x be increasement in both length and width
(5+x) (10+x) = 300
50 + 5x + 10x + x² = 300
x² + 15x - 250 = 0
x²+ 25x-10x -250 = 0
x(x+25) - 10 (x+25) = 0
( x-10) (x+25) = 0
either x + 25 =0
x = -25 length can be negative
0r x-10 = 0
x = 10
so 10 inches is increase on both side
Step-by-step explanation:
I need help to solve part B and give my reasoning in two collum proof.
SOLUTION
3(a)
The diagram below would be helpful
From the diagram above, a segment has been made from C to O indicating the radius of the circle, so CO is a radius.
Also any line drawn from the center of a circle to touch the circumference is a radius, So, OB is a radius too.
Since CO and OB are radii of the circle, then their sides are equal,
Hence triangle COB is an isosceles triangle.
Also the line OA represents the radius of the circle just like CO. Since OA and CO are radii,
Hence triangle COA is an isosceles triangle.
(b) Statement: AOB is a straight line and at the center of a circle
Reason: Given
Statement: AOB is also an angle, which is 180 degrees
Reason: Angle on a straight line is 180 degrees
Statement: Angle AOB is an angle at the center of the circle, and angle C is at the circumference
Reason: same arc AB
Statement: Angle AOB = 2C
Reason: Angle at the center of a circle is twice angle at the circumference.
Hence
\(\begin{gathered} \angle AOB=2\angle C \\ 180\degree=2C \\ C=\frac{180}{90} \\ C=90\degree \end{gathered}\)Therefore C is a right-angle (90 degrees)