(a) There are 840 distinguishable permutations of the letters in the word "initial." (b) There are 180 distinguishable permutations of the letters in the word "Hawaii." (c) There are 420 distinguishable permutations of the letters in the word "decreed."
(a) For the word "initial," we have a total of 7 letters, with 2 "I"s, and 1 occurrence of each of the remaining letters. Applying the formula, we get:
n! / (3!1!1!1!1!) = 7! / (3!1!1!1!1!) = (7 × 6 × 5 × 4 × 3 × 2 × 1) / (3 × 2 × 1 ×1 × 1 × 1 × 1) = 840
(b) For the word "Hawaii," we have a total of 6 letters, with 1 "H," 2 "A"s, and 2 "I"s. Applying the formula, we get:
n! / (1!2!1!2!) = 6! / (1!2!1!2!) = (6 × 5 × 4 × 3 × 2 × 1) / (1 × 2 × 1 × 2 × 1 × 1) = 180
(c) For the word "decreed," we have a total of 7 letters, with 2 "E"s, 3 "D"s, and 1 occurrence of each of the remaining letters. Applying the formula, we get:
n! / (2!3!1!1!) = 7! / (2!3!1!1!) = (7 × 6 × 5 × 4 × 3 × 2 × 1) / (2 × 1 × 3 × 2 × 1 × 1 × 1) = 420
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Can someone help me out please.
Answer:
area = (10 x 19) - (0.5 x 19 x 5) = 142.5 in²
Step-by-step explanation:
Answer:
142.5 in^2
Step-by-step explanation:
Area of trapezoid= a + b / 2 · h (a and b are bases of the trapezoid)
A= 5 + 10 / 2 · 19
A= 15 / 2 · 19
A= 7.5 · 19
A= 142.5 in^2
This is just one way to do it. There are many more ways.
Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
18 hours
Step-by-step explanation:
9/0.50 = 18 hours
Help ! I’m stuck. Any help would be gladly appreciated
Answer:
The answer is D
hope this helps
can some please help me with this problem?
Answer:
b
Step-by-step explanation:
its a negative slope, so you can eliminate c and d. even though the scale is 2, the slope always pertains to $1 increase and not $2 increase.
A "pay-what-you-pull" raffle is an alternative to a standard raffle where a person blindly draws a raffle ticket, say out of bag, and agrees to pay the amount written on the raffle ticket (as opposed to having one fixed price for each raffle ticket). The raffle ticket is then entered into a draw for a prize. Suppose you draw 2 raffle tickets without replacement from a bag with 4 tickets which have prices $1, $2, $3 and $4. How much can you expected to pay for your 2 raffle tickets?
To find the expected amount you would pay for your two raffle tickets, we need to calculate the expected value of the sum of the prices on the tickets.
Let's denote the prices on the tickets as follows:
Ticket 1: $1
Ticket 2: $2
Ticket 3: $3
Ticket 4: $4
Since you are drawing two tickets without replacement, there are a total of 4C2 = 6 possible combinations of two tickets.
The expected value (E) can be calculated by summing up the products of each combination and its corresponding probability. The probability of each combination is 1/6 since all combinations are equally likely.
The expected amount you would pay for your two raffle tickets is given by:
[tex]\[E = \frac{1}{6}(\$1 + \$2) + \frac{1}{6}(\$1 + \$3) + \frac{1}{6}(\$1 + \$4) + \frac{1}{6}(\$2 + \$3) + \frac{1}{6}(\$2 + \$4) + \frac{1}{6}(\$3 + \$4)\][/tex]
Simplifying the expression, we find:
[tex]\[E = \frac{\$3 + \$4 + \$5 + \$5 + \$6 + \$7}{6} = \$5\][/tex]
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C. Question 2 of Online Tutorial 5 Test at 20% significance level whether one of the drugs is more effective than the other.
(a) The absolute value of the critical value of this test is type your answer...
(b) The absolute value of the calculated test statistic is type your answer...
(c) The p-value of this test is type your answer....
The p-value of this test is 0.0294.
a) The absolute value of the critical value of this test is "1.645".
The critical value for the given test can be calculated using the following formula;`
Critical value =
± z_(α/2)`
Where,`α` is the level of significance of the test.
`z_(α/2)`
is the critical value from the standard normal distribution table.
Since, the significance level of the test is 20%,
α = 0.2 or 0.20
Level of Significance = 0.20α/2 = 0.20/2α/2 = 0.10
Now, the critical value of the test can be found from the standard normal distribution table at 0.10 level of significance.
It comes out to be 1.645.
So, the absolute value of the critical value of this test is 1.645.
b) The absolute value of the calculated test statistic is "2.23".
The test statistic for the given test is the t-value calculated using the sample data.
It can be calculated using the following formula;
`t = (x¯1 - x¯2) / [ s_p * √(1/n1 + 1/n2) ]`
Where,`x¯1 and x¯2` are the sample means.
`s_p` is the pooled standard deviation.
`n1 and n2` are the sample sizes.
So, the test statistic of the given test comes out to be 2.23.So, the absolute value of the calculated test statistic is 2.23.
c) The p-value of this test is "0.0294".
The p-value for the given test is the probability of getting a t-value more extreme than the calculated t-value, assuming the null hypothesis is true.
The p-value can be calculated using the t-distribution table.
The degrees of freedom for the given test is
`df = n1 + n2 - 2`.
Substituting the values in the formula, the p-value for the given test comes out to be 0.0294.
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PLEASE ANSWERS FAST
how do you find the perimeter of the base?
A. Multiply the side lengths
B. Divide the side lengths
C. Add all sides of the base shape
D. Take the square root after multiplying the side lengths
Answer:
C. Add all sides of the base shape
Step-by-step explanation:
perimeter = sum of length of sides of a polygon
Answer: C. Add all sides of the base shape
Each person is dealt 5 cards, show the total number of cards dealt for each players from 3 to 6 write the ratio of cards dealt
Answer:
Following are the responses to these question:
Step-by-step explanation:
Because every player has 5 cards handed
The card ratio is 5:1 per player.
So, if there are three teams
5 times 3=15 Cards
Four players=four times five=20 cards
Five players=5 times five=25 cards
6 cards=6 times 5=30 cards
The card ratio is 5:1 per player.
Determine the Y intercept PLEASE HELP!!
X Y
-3 -3
0 -1
3 1
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
-5 + 4n
Step-by-step explanation:
-1/2(10 - 8n)
-5 + 4n
Given y varies directly as x, find the constant of variation k.
Answer:
y=k×x
so k =-1/2
ie: -1=-1/2(2)
-1=-1
hope this helps hshshsjjss
Maria wants to buy a pair of shoes for $32.50 and a shirt for $8.50. If the sales tax rate is 8.5%, what will be the amount of sales tax on Marias purchase?
Answer:
54.25
Step-by-step explanation:
$5,000 is deposited in an account that receives 6.1 percent interest compounded continuously. How much money is in the account after six years?
$30500 ..............................................................................................................................
PLEASE HELP ASAP ILL AWARD BRAINIEST
Answer:
Сен қазақ сыңба?
Step-by-step explanation:
қазашшаайтшыааа
Suppose you expect to receive the following cashflows: $14,000 today followed by $6,000 each year for the next 11 years (so the last cash flow is at year 11). How much is this cashflow stream worth to you today if the appropriate discount rate is 7.1%? Round to the nearest dollar.
The cash flow stream consisting of $14,000 today followed by $6,000 each year for the next 11 years, discounted at a rate of 7.1%, is worth approximately $52,743 to you today.
To determine the present value of the cash flow stream, we need to discount each cash flow back to the present using the appropriate discount rate.
The present value (PV) of each cashflow can be calculated using the formula:
[tex]PV = CF / (1 + r)^n[/tex]
where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of periods.
Calculating the present value of each cash flow and summing them up, we get:
[tex]PV = \$14,000 + \$6,000 / (1 + 7.1\% / 100)^1 + \$6,000 / (1 + 7.1\% / 100)^2 + ... + \$6,000 / (1 + 7.1\% / 100)^11[/tex]
Evaluating the expression, we find that the present value of the cash flow stream is approximately $52,743 when rounded to the nearest dollar.
This means that if you discount the future cash flows at a rate of 7.1%, the combined value of all the cashflows today would be approximately $52,743.
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helllllllllllllp me please i just wanna finish this worksheet
Answer:
what
Step-by-step explanation:
1. El ayuntamiento de un pueblo quiere asfaltar
una plaza circular que tiene en el centro una
fuente, también circular, para celebrar allí con-
ciertos de música a lo largo del año. Si la fuente
tiene un diámetro de 4 m y la plaza, uno de 16
m, ¿cual será el área de la región por asfaltar?
What is the answer to the question
Refer to Exhibit 6-6. What percentage of tires will have a life of 34,000 to 46,000 miles? a. 38.49% b. 76.98% c. 50% d. None of the alternative answers is correct
The percentage of tires will have a life of 34,000 to 46,000 miles is the correct answer is d. None of the alternative answers is correct.
The provided percentages do not offer a precise estimate of the proportion of tires with a life of 34,000 to 46,000 miles.
Determining the percentage of tires falling within a specific mileage range requires access to accurate statistical data from tire manufacturers or comprehensive studies. Several factors affect tire lifespan, such as driving habits, road conditions, maintenance, and the type of tire itself.
These variables make it difficult to provide an exact percentage without specific information about the tire population in question. To obtain a more accurate estimate, it would be necessary to analyze relevant data, such as tire industry reports or studies on tire longevity.
Tire manufacturers often provide estimated mileage ratings for their products, but these figures are averages and can vary depending on the factors mentioned above.
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Determine whether each quadrilateral is a parallelogram. Write yes or no. If yes, give a reason for your answer.
Answer:
yes
Step-by-step explanation:
All of the opposite sides are parallel to each other.
HELP!!!!! Question in picture!!!!
Answer:
x = 29
Step-by-step explanation:
We know that those two angles equal 180° so we combine those two equations and set them equal to 180°:
6x + 6 = 180°
Subtract 6 from both sides:
6x = 174°
Divide by 6:
x = 29
Please find the next fraction to this sequence! Right answers only!
Answer:
4/15
Step-by-step explanation:
Each fraction is 1/15 less than the previous.
If we make them all the same denominator,
then it would show as:
8/15
7/15
6/15
5/15
The next fraction would be 5/15 - 1/15
which is
4/15
Answer:
4 1
__ because it goes down by ___
15 15
Step-by-step explanation:
If vector v = ( 9 ) find -v and 3v
-6
Got It? Do this problem to find out.
y
K
b. The plans for a teeter-totter
are shown at the right. Using
points G and L, find the slope
of the teeter-totter. Then verify
that the slope is the same at
a different location by choosing
a different set of points.
Н.
G
O
х
AN
Check
2
Answer:
2/3
Step-by-step explanation:
rise over run
up and over
To estimate the average service time at a hamburger fast-food restaurant, a management
consultant noted the times that it took for 35 counter persons, a random sample, to complete a
standard order. It took, on average, 72.2 seconds with a standard deviation of 12.8 seconds to
complete the orders.
a)
What can the consultant assert with 95% confidence about the maximum error, if he uses
X bar = 72.2 seconds as an estimate of the true average time to complete a standard order?
b)
Construct a 95 percent confidence interval for the true average time that it takes a counter
person to complete the standard order/
The consultant can assert with 95% confidence that the true average time to complete a standard order is within 4.23 seconds of the sample average time of 72.2 seconds.
With 95% confidence, the true average time it takes for a counter person to complete the standard order is between 68.0 and 76.4 seconds.
How to solve the problemsThe standard error of the mean is given by the formula:
SE = s / sqrt(n)
where s is the sample standard deviation and n is the sample size.
In this case, the standard error is:
SE = 12.8 / sqrt(35) = 2.16 seconds (approximately)
The Z-value that corresponds to a 95% confidence level is approximately 1.96 (this value can be looked up in a standard Z-table).
Therefore, the maximum error E can be calculated as:
E = Z * SE = 1.96 * 2.16 = 4.23 seconds (approximately)
This means that the consultant can assert with 95% confidence that the true average time to complete a standard order is within 4.23 seconds of the sample average time of 72.2 seconds.
b) To construct a 95% confidence interval for the true average time, the consultant can use the formula:
CI = x ± E
where x is the sample mean and E is the maximum error.
Substituting the given values:
CI = 72.2 ± 4.23 = (68.0, 76.4)
So, with 95% confidence, the true average time it takes for a counter person to complete the standard order is between 68.0 and 76.4 seconds.
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Rewrite as an addition equation and determine the answer: -3 - - 8 =
Answer:
-3 + 8 = 5
Step-by-step explanation:
When we have a "minus a negative", it's a positive. So the - -8 is the same as + 8.
LMK if you have questions.
-3 + -8 = -11
is that a nice one or something
(z^6/z)^2 QUICK ILL GIVE BRANLIEST
Answer, z10
Step-by-step explanation:
Find the Errors: A student multiplied the two polynomials below.
(a) Clearly state the two errors that the student made in their multiplication table. (4 points)
(b) State what the correct answer should be. (2 points)
PLEASE HURRY 12 POINTS PLEASE HELPPPPPP
Step-by-step explanation:
to find the area of a circle, it is pi times radius squared. so 1 times pi squared is pi^2 the area is 4 plus 2pi^2
help i need the answer
Answer:
NO
Step-by-step explanation:
If the diameter of the circle is doubled the area will be increased 4 times