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4 years ago

How many different permutations can you make with the letters in the word s e v e n t e e n ? A. 7,560 B. 17! C. 15,120 D. 3,780

2 answers:

8 0

I'm not 100% sure if I'm doing it the right way, but I think the answer is the factorial of the number of letters divided by the factorials of the number of elements of each kind of element (in this case, the same letters)

9!/1!4!1!2!1!

= 9 · 8 · 7 · 6 · 5 · 4!/4!2!

= 9 · 8 · 7 · 6 · 5/2

= 9 · 4 · 7 · 6 · 5

= 63 · 120

= 7,560 permutations

navik [9.2K]4 years ago

6 0

Answer:

The answer is D

Step-by-step explanation:

P = n/n1

P = 9!/4! = 15120/4 = 3,780

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Important Characteristics Quiz The probability of success in each of the 58 identical engine tests is p = 0.92. What is the mean

Maru [420]

Answer: The mean of this binomial distribution is 53.36.

Step-by-step explanation:

We know that , the mean of this binomial distribution is given by :_

$\mu = np$

, where n = sample size or the number of possible trials .

p = probability of getting success in each trial.

We are given that , the probability of success in each of the 58 identical engine tests is p = 0.92.

i.e. n= 58

p=0.92

Then, the mean of this binomial distribution = $58\times0.92=53.36$

Hence , the mean of this binomial distribution is 53.36.

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3 years ago

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

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4 years ago

The difference between the record high and low temperaturs in Charlotte, North Carolina, is 109°F. The record low temperature wa

lara31 [8.8K]

Answer: 104 degrees farenheit

Step-by-step explanation: H = record high temperature. -5 + 109 = H. -5+109 = 109 + (-5) = 109-5 = 104. H = 104.

8 0

2 years ago

Read 2 more answers

Find the whole quantity if 5 percent of it is 500

liq [111]

Answer:

10,000

Step-by-step explanation:

500/0.05= 10,000

You take the amount you are given divided by the decimal form of the percentage you are given to find the answer. It's a reverse from the way you find 5% of 10,000.

0.05=5%

Check your work: 10,000*5%= 500

5 0

3 years ago

Stacey's text messaging plan charges 20¢ for each message over 450 in addition to a $14 base charge. If she owes $18.00 for text

Sidana [21]

$18 = 14 + 0.20(t)

- 14

4 = 0.20t

Divide 4 by 0.20

t = 20

0.20 * 20 = 4

4 + 14 = 18

Because it only charged her for texts after 450, its 450 + 20.

470. She sent 470 texts that month.

3 0

3 years ago