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3 years ago

How many distinct permutations of the word ADDRESSEE are there?

Mathematics

1 answer:

kaheart [24]3 years ago

3 0

Answer: There are 15120 distinct permutations.

Step-by-step explanation:

Since we have given that

ADDRESSEE

Here, 1 A,

2 D

2 S

3 E

Total number of letters in this word = 9

So, Number of permutations would be

$\dfrac{9!}{3!\times 2!\times 2!}\\\\=15120$

Hence, there are 15120 distinct permutations.

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In a sample of 120 randomly selected people in City A, 5% prefer eating salad after the main course. In a sample of 120 randomly

Alex777 [14]

Answer:

There is no enough evidence that the proportions are different.

Step-by-step explanation:

We have to perform a hypothesis test on the difference of proportions.

In this case, the sample size is equal.

The null and alternative hypothesis are

$H_0: \pi_1=\pi_2\\\\ H_1: \pi_1\neq\pi_2$

The significance level is assumed to be 0.05.

The weighted average p, as the sample sizes are the same, is the average of both proportions:

$p=\frac{p_1+p_2}{2} =\frac{0.05+0.08}{2}=0.065$

The standard deviation is

$s=\sqrt{\frac{2p(1-p)}{n} } =\sqrt{\frac{2*0.065(1-0.065)}{120}} =0.032$

The z-value for this sample is:

$z=\frac{p_1-p_2}{s} =\frac{0.05-0.08}{0.032} =-0.9375$

The P-value for z=-0.9375 is P=0.3485.

The P-value (0.35) is greater than the significance level (0.05), so the null hypothesis is failed to reject.

There is no enough evidence that the proportions are different.

3 0

3 years ago

Mr. Jim had 9” x 8” piece of construction paper he cut out of 4 in square to make a card.what is the area of the paper mr Jim wi

svet-max [94.6K]

Isnt it 16? Im pretty sure its 16 if not then idk lol

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3 years ago

Political Stcibility

Anton [14]

Answer:

Political stability is a variable of great importance in a country's evolution since, across time, it was identified as causing law level of economic growth, but also it was presented as a consequence of poor economic development.

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3 years ago

For the curve y = ln(x 2 − 3), find the equation of the tangent line at (2, 0).

denis23 [38]

Y' = 2x/(x^2 -3) y'(2) = 4
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3 0

3 years ago

The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0

dedylja [7]

Answer: a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

$P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413$

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

$P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987$

Hence, a) 0.8413, b) 0.9987.

4 0

3 years ago