The required permutations are given as 168 letters will be formed.
Given that,
How many different 8-letter permutations can be formed from 6 identical h's and two identical t's is to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
A total number of combinations = 8!
The number of repetitions, = 5!.2!
Permutation of letters = 8!/[5!.2!]
Thus, the required permutations are given as 168 letters will be formed.
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What is 2,367 x 578 =
Answer:
Step-by-step explanation:
1368126
Answer: your answer is 1,368,126
Step-by-step explanation:
How do I do this???
I need to find it out, but it is comlicated
Answer:
x=3
Step-by-step explanation:
The equation for perimeter of a rectangle is 2(l)+2(w)
So, 2(x+2)+2(2x-1)=
2x+4+4x-2=20
You then combine like terms
6x+2=20, then subtract 2 from both sides
6x=18, then divide 6 by both sides
x=3
Find the sum of the interior angles of a 12-sided polygon.
1,080°
1,800°
2,100°
2,160°
(03.01 MC)
Evaluate
ultiple Choice Worth 6 points)
x³-5x²+2x-6
x-1
10
X-1
Ox²-6x-2--
Ox²-4x-2-1
8
8
X-1
Ox³-6x-2--
10
X-1
Ox²-4x+6--
The evaluation of the fraction, [tex]\dfrac{x^3-5\cdot x^2+ 2\cdot x-6}{x - 1}[/tex], using the long division method is the option;
[tex]x^2 - 4\cdot x -2-\dfrac{8}{x-1}[/tex]What is the long division method?The expression can be presented as follows;
[tex]\dfrac{x^3-5\cdot x^2+ 2\cdot x-6}{x - 1}[/tex]
The numerator x³ - 5·x² + 2·x - 6 does not have (x - 1) as a factor
However, dividing x³ - 5·x² + 2·x - 6 by (x - 1), gives;
x² - 4·x -2
(x - 1)|x³ - 5·x² + 2·x - 6
[tex]{}[/tex] x³ - x²
[tex]{}[/tex] -4·x² + 2·x - 6
[tex]{}[/tex] -4·x² + 4·x
[tex]{}[/tex] -2·x - 6
[tex]{}[/tex] -2·x + 2
[tex]{}[/tex] -8
The quotient from the division is x² -4·x -2, the remainder is -8, therefore, the result from the division x³ - 5·x² + 2·x - 6 by (x - 1) is the option;
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Your anova is statistically significant. How will you determine which groups are different?.
If the ANOVA test is statistically significant, then we can determine which groups are different by means of the F statistic, which is defined by the ratio of the mean sum square to the average square error (none of the options are correct).
What is the ANOVA test?The ANOVA test can be defined as a strategy to assess when differences between two or even more groups and or populations in the same are statistically significant.
Moreover, the F statistic refers to the results of the ANOVA, which is used to show statistically significant differences between groups in the sample.
Therefore, with this data, we can see that the ANOVA test is used to determine when differences between groups in the sample are significant enough to explain a given working hypothesis, and it is associated with the F statistics.
Complete question:
Your ANOVA is statistically significant. How will you determine which groups are different?
Use planned or unplanned comparisons.
Look at what the means in each group are.
Conduct Levene's test.
None of the above
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Identify the form the following equation is in y − 2 = 58(x + 16)
A. Standard Form
B. Point Slope Form
C. Slope Intercept Form
The form of the equation y − 2 = 58(x + 16) is the (b) Point Slope Form
How to determine the equation form?From the question, we have the equation to be
y − 2 = 58(x + 16)
The above equation is a linear equation
A linear equation can be represented in three forms:
Standard Form: Ax + By = CPoint Slope Form: y - Y = m(x - X)Slope Intercept Form: y = mx + cWhen the above forms are compared to y − 2 = 58(x + 16), we have the form to be y − Y = 58(x - X)
Hence, the equation is in its Point Slope Form
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Line p passes through points (18, 11) and (-17, 22). Line q passes through points (2, 37) and (-9, 72). Are line p and line q parallel or perpendicular?
The lines p and q are perpendicular lines.
According to the question,
We have the following information:
Line p passes through points (18, 11) and (-17, 22). Line q passes through points (2, 37) and (-9, 72).
We will find the slope of both the lines to check whether they are perpendicular or parallel. If their slope is equal then they are parallel and if their slope is not equal or inverse of the other one then they are perpendicular.
(Slope is denoted by m.)
m = (y2-y1)/(x2-x1)
For line p:
x1 = 18, y1 = 11, x2 = -17 and y2 = 22
m = (22-11)/(-17-18)
m = -11/35
For line q:
x1 = 2, y1 = 37, x2 = -9 and y2 = 72
m = (72-37)/(-9-2)
m = -35/11
Now, the slope is inverse.
Hence, the lines p and q are perpendicular lines.
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If possible please show work
Not exactly sure what this is but by a glance theyre asking what do you do to days to get the total?
Therefore if you have in the D column 1-5 the process is always multiplying by 250 so 1 day gives 1 * 250 = $250
2 days gives 2*250 = $500
That means the equation must be
T =250D
A two-sided test is performed when we are interested in deviations _____________ from the hypothesized value.
When we are interested in deviations greater than or less than the hypothesized value, we do a two-sided test.
A two-tailed or two-sided test determines whether a sample is greater than or less than a specific range of values by using a two-sided critical area of distribution.
This test tests the null hypothesis. This test determines whether there is a statistically significant difference between the sample and population mean.
This test also determines whether a claim is true or not.
This test differs from a one-tailed test because one-tailed tests permit the potential for a one-directional effect. But the two-tailed tests examine the potential for two-directional (positive and negative directions) effects.
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A mix of solid and stripped shirts are hanging on a store rack. sixty percent of the shirts are solid if they are 45 shirt how many are striped?
Answer: 18
Step-by-step explanation:
4q+2b=14
3a-2b=0
a= b=
Answer: a=2, b=3
Step-by-step explanation:
19 is what percent of 95
Answer:
20%
Step-by-step explanation:
19 of 95 can be written as:
19/25
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
19/25 x 100/100
= (19 x 100/95) x 1/100 = 20/100
Therefore, the answer is 20%
If you are using a calculator, simply enter 19÷95×100 which will give you 20 as the answer.
Hope this helped!
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. starting with 115 grams of a radioactive isotope, how much will be left after 3 half-lives?
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 115 grams of a radioactive isotope
If we start with 115g of the isotope, after one half-life the quantity will diminish to [tex]\frac{115g}{2} = 57.5[/tex] which is half the original quantity.
This can be written mathematically as: [tex]115g(\frac{1}{2})^{1}[/tex]
After the second half life: [tex]\frac{57.5g}{2} = 28.75 = \frac{115g}{4} = (115g)\frac{1}{2}^{2}[/tex]
After the third half life: [tex]\frac{28.75g}{2} = 14.37g = \frac{115g}{8} = (115g)(\frac{1}{2}) ^{3}[/tex]
But now we can see a pattern developing, because for each new half-life we are dividing the quantity by 2 to a power that increases as the number of half-lives.
Then we can take the original quantity and quickly compute for 6 half-lives:
[tex](115g)(\frac{1}{2})^{6} = (115g)(\frac{1}{64}) = \frac{115g}{64} = 1.79g[/tex]
The time it takes for the isotope to do this will depend on the isotope in question. For some it will be microsecond, and for others it will be years and decades. The isotope will typically decay to become another element or isotope.
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if sue will only buy apples if the price decreases because each apple yields a smaller amount of additional satisfaction, she is exemplifying the law of .
Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.
Explain the term diminishing marginal utility?The phenomenon known as diminishing marginal utility describes how each extra unit of gain results in an ever-smaller rise in subjective value.
For instance, three bites of sweets are preferable to two, but the pleasure does not improve significantly after the nineteenth mouthful.One typical good having diminishing marginal value is food. Consider an apple as an illustration. An apple is pretty valuable if you're famished. However, as you consume more apples, you become less hungry, decreasing the value of each new apple.Thus, Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.
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how much water will there be after 1 second
There will be 5.41667 gallons of water in the bucket after 1 second according to the straight line present in graph.
The line passes through O(0, 0) and A(12, 5).
The slope of the line OA is given by :
Slope, m = ([tex]y_{2} - y_{1}[/tex])/([tex]x_{2} - x_{1}[/tex])
⇒ m = (5 - 0)/(12 - 0)
⇒ m = 5/12
The equation of the line passing through (0, 0) having slope = 5/12 is :
(y - 0) = (5/12)(x - 0)
⇒ y = 5x/12
After 1 second, the time t = 13 sec
Then, on substituting x = 13 in y = 5x/12, we can get the no. of gallons of water :
⇒ y = 5(13)/12 = 65/12 = 5.41667
Hence, after 1 second there will be 5.41667 gallons of water in the bucket.
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Write the
slope-intercept form of an equation for
the line of fit. Use points (15, 40) and (41, 61).
Answer:
Step-by-step explanation:
Hailey so many people ask about this type of question. I've got a cut and paste answer. I would like to hear from you , posted in the comments of this problem. what's the part of this type of problem that you find complex and difficult. The math to do this is not hard. But it is a difficult problem for so many people. please write in your words what it is that you find difficult. Thanks :)
They ask for slope-intercept form of the problem. this form: y= mx + b
recall there is also point-slope form of y -y1 = m(x -x1)
They give us two points.
point P1 (15,40) in the form (x1,y1)
point P2(41,61) in the form (x2,y2)
Step1: find the slope
slope = m
m = (y2-y1) / (x2-x1)
m= (61-40) / (41-15)
m = 19 / 26
Step 2: now use the point-slope form to get the slope-intercept form. Any given point will work, I'll use P1
y - y1 = m(x -x1)
y - 40 = [tex]\frac{19}{26}[/tex](X - 15 )
use your algebra skillz to solve for "Y" ( get "Y" by itself )
y - 40 = [tex]\frac{19}{26}[/tex]X - [tex]\frac{19}{26}[/tex]*15
y - 40 = [tex]\frac{19}{26}[/tex]X - [tex]\frac{285}{26}[/tex]
y - 40 = [tex]\frac{19}{26}[/tex]X - 10[tex]\frac{25}{26}[/tex]
Y = [tex]\frac{19}{26}[/tex]X - 10[tex]\frac{25}{26}[/tex] + 40
Y = [tex]\frac{19}{26}[/tex]X + 30[tex]\frac{25}{26}[/tex] this is in slope-intercept form now
3 3/8 x 7 1/4 with explanation
Step-by-step explanation:
3 3/8 = 27/8
7 1/4 = 29/4
29/4 X 27/8 = 783/32 = 24 15/32
Maya accepted a new job at a company with a contract guaranteeing annual raises. Let SS represent Maya's salary after working for nn years at the company. The table below has select values showing the linear relationship between nn and S.S. Determine Maya's salary when hired.
well, we know that the relationship of "n" and "s" is linear, so hmmm let's get their equation first.
to get the equation of any straight line, we simply need two points off of it, let's use those in the picture below.
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{68000})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{76000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{76000}-\stackrel{y1}{68000}}}{\underset{run} {\underset{x_2}{9}-\underset{x_1}{7}}} \implies \cfrac{ 8000 }{ 2 } \implies 4000[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{68000}=\stackrel{m}{ 4000}(x-\stackrel{x_1}{7}) \\\\\\ ~\hfill {\Large \begin{array}{llll} s-68000=4000(n-7) \end{array}} ~\hfill[/tex]
now, when she was hired, well that was when there were no years, namely at year 0, so we can say that's when n = 0
[tex]s-68000=4000(n-7)\implies s-68000=4000(\stackrel{n}{0}-7) \\\\\\ s-68000=4000(-7)\implies s-68000=-28000 \\\\\\ s=-28000+68000\implies {\Large \begin{array}{llll} s=40000 \end{array}}[/tex]
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people took the trip. She was able to purchase coach tickets for $260
and first class tickets for $1130. She used her total budget for airfare for the trip, which was $8080. How many first class tickets did she buy? How many coach tickets did she buy?
number of first class tickets bought
Main answer:
She bought 5 coach tickets and 6 first class tickets.
Step-by-step explanation:
Given:
Total tickets = 11
Let's First class tickets =f, Coach tickets = c.
Total tickets = f + c
f + c = 11
⇒ f = 11 - c → equation 1
Cost she used to purchase coach tickets = $260
Cost she used to purchase First class tickets = $1130
Total budget for airfare = $8080
260c + 1130f = 8080 → equation 2
Substitute equation 1 in equation 2;
260c + 1130(11-c) = 8080
260c + 12430 - 1130c = 8080
12430 - 8080 = 1130c- 260c
870c = 4350
c = 5 peoples
Now, Substitute c in equation 1;
f + c = 11
f = 11 - 5
f = 6 peoples
Hence, She bought 5 coach tickets and 6 first class tickets.
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You’ve decided to give your best friend a bag of marbles for his birthday. Since you know that your friend likes green marbles better than red ones, the bag has twice as many green marbles as red. The label on the bag says it contains a total of 84 marbles.
How many green marbles are in the bag? Write an equation (or system of equations) for this problem. Then solve the problem using any method you choose. Be sure to check your answer when you are finished.
Step-by-step explanation:i went on half of 84 wich was 42 so i found another problem that can equal into 84 wich was 63 green marbles 21 red
Tyreek pitches for investors. They agree to each invest $25,000 and value tyreek's company at $200,000. How much of the company will tyreek still own after the investment?.
The 50% of the company will tyreek still own after the investment, according to the given question.
What do you mean by investment pitches?
A brief outline of your business plan that piques the curiosity of potential investors should be included in your investment pitch presentation. Because your product is only one component of your business strategy, it shouldn't only be a pitch for your product.
According to data in the given question,
We have the information:
The total value of Tyreek's company = $200,000
Contributed amount of the four investors = $25,000 * 4 = $100,000
Assume P is the percentage of the company which Tyreek will still own after the investment.
[tex]P=\frac{Total amount contributed by the four investors }{Value of Tyreek's company} \\P=\frac{100,000}{200,000}\\ P=0.5 or 50%[/tex]
Therefore, the 50% of the company will tyreek still own after the investment, according to the given question.
The 50% of the company will tyreek still own after the investment, according to the given question.
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Matthew' curtain company i making curtain for a local hotel. He want each curtain to be 36 inche long. At the fabric tore, fabric i old by the foot. If Matthew' curtain company want to make 74 curtain, how many feet of fabric will he need?
Matthew' curtain company will need 222 feet to make 74 curtains.
We will first convert the curtain length to feet. As per the known fact, 1 inch = 1/12 feet
So, 36 inch = 3 feet
Hence, each curtain will be of 3 feet length and hence requires 3 feet fabric.
So, the total amount of fabric required based on the need = 74 × 3
Performing multiplication on Right Hand Side of the equation
The total amount of fabric needed to make 74 curtains = 222 feet
Hence, the company will need 222 feet fabric to make 74 curtains.
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Elizabeth has a mask collection of 420 masks. She keeps 65% of the masks on her wall. How many masks does she keep on her wall?
The number of masks Elizabeth kept on the wall is 273.
How to find the number of mask she keeps on the wall?Elizabeth has a mask collection of 420 masks. She keeps 65 percent of the masks on her wall.
The number of mask she keeps on the wall can be calculated as follows:
Therefore,
number of mask she keeps on the wall = 65 percent of total mask collection
number of mask she keeps on the wall = 65% of 420
number of mask she keeps on the wall = 65 / 100 × 420
number of mask she keeps on the wall = 27300 / 100
Therefore,
number of mask she keeps on the wall = 273
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for a regression analysis, the value of r is 0.42. what is the value of the coefficient of nondetermination?
For a Regression Analysis that the value of R is 0.42, the value of the Coefficient of Non-Determination is 0.8236.
What is the Coefficient of Non-Determination?Coefficient of non-determination is the variation recorded in the dependent variable which is not counted by the changes in the explanatory variable. This is calculated by subtracting Coefficient of Determination from 1.
Coefficient of Non-Determination explains the amount of unexplained, or unaccounted for, variance among two variables, or among a set of variables (predictors) in an outcome variable.
The formula for the Coefficient of Non-Determination is 1 – R².
So, in this case:
1 – R²
= 1 – (0.42)²
= 1 – 0.1764
= 0.8236
Hence, the value of the Coefficient of Non-Determination is 0.8236.
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in a function, each input is related to multiple outputs.
In a function, each input is related to multiple outputs is False.
What is a function?The function is a type of relation, or rule, that maps one input to a specific single output.
Function of function, as the name suggests, are functions applied over functions themselves. This is also called function composition.
A function can be defined as a relationship between an output value, y, and an input value x; where each input value of x has one and only one output value of y.
This means that each output value of a function can have multiple inputs (for example, quadratic functions have 2 inputs for each output except the vertex), but no input can have multiple outputs.
Therefore, In a function, each input is related to multiple outputs is False.
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Is this relation a function? {(1,3), (1,2), (2,-4),(3,2)}
a. Function
b. Not a Function
Solve using linear combination. 2x – 3y = – 9 x + 3y = 18
a. (27, 9)
b. (3, 27)
c. (9, 3)
d. (3, 5)
The solution to the equation by linear combination is (d) (3, 5)
How to determine the solution to the equation?From the question, we have the following system of equations
2x – 3y = – 9
x + 3y = 18
By linear combination, we start by eliminating one of the variables
This is done by adding the equations
So, we have
2x + x -3y + 3y = -9 + 18
Evaluate the like terms
3x = 9
Divide both sides
x = 3
Substitute x = 3 in x + 3y = 18
3 + 3y = 18
So, we have
3y = 15
Divide
y = 5
Hence, the solution is (d) (3, 5)
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Write an equation in point-slope form that passes through the points (-4,7) and (8,3)
Answer:EMD
Step-by-step explanation:
Answer:
Since there are two points there are two equations that can written.
1. [tex]y-7=-\frac{1}{3} (x+4)[/tex]
2. [tex]y-3=-\frac{1}{3} (x-8)[/tex]
Step-by-step explanation:
Step 1: Point Slope Form
[tex]y-y_{1} =m(x-x_{1})[/tex]Step 2: Find the slope of the two points
Slope = m[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]Points: (-4,7) and (8,3)y₂ = 3y₁ = 7x₂ = 8x₁ = -4[tex]m=\frac{3-7}{8-(-4)}=\frac{-4}{8+4} =\frac{-4}{12} =\frac{-1}{3}[/tex]Step 3: Write the equation
[tex]y-y_{1} =m(x-x_{1})[/tex][tex]m=-\frac{1}{3}[/tex]Points: (-4,7) and (8,3)Using the point (-4,7):[tex]y-7=-\frac{1}{3} (x+4)[/tex]Using the point (8,3):[tex]y-3=-\frac{1}{3} (x-8)[/tex]the probability that a married man watches a certain television show is 0.4, and the probability that a married woman watches the show is 0.5. the probability that a man watches the show, given that his wife does, is 0.7. find the probability that
The probability is that the married couple watches the show is 0.35.
According to the statement
We have to find the probability is that the probability that married couple watches the show is 0.35.
For this purpose, we know that the
Probability is the ratio of the number of outcomes to the total number of possible outcomes.
With the given information
a married man watches a certain television show is 0.4
the probability that a married woman watches the show is 0.5.
the probability that a man watches the show, given that his wife does, is 0.7
Then
Let M be the event that a married man watches a certain T.V.
And N be the event that a married woman watches the show.
The probability become
[tex]P(M)=0.4[/tex] [tex]P(F)=0.5[/tex]
and the
[tex]P(\frac{M}{F} )=0.7[/tex]
Then
The probability become is the
P(M∩F)=0.7*0.5
And
[tex]P=0.7*0.5[/tex]
[tex]P=3.5[/tex]
So, The probability is that the married couple watches the show is 0.35.
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Question:
The probability that a married man watches a certain TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Then
the probability that married couple watches the show.
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At a local print shop, 12 copies can be made for $6. At this rate, how how many copies could be made for $27?
Answer: 54 copies
Step-by-step explanation:
12 copies for $6
1 copy for $0.5
x copies for $27
27/0.5 = 54
1(54) = 54 copies