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2 years ago

How many different arrangements can be made with the letter of the word 'M O R O C C O'?

1 answer:

8 0

Since the order matters, it's a permutation of 7 letters, but mind you in
MOROCCO. you have 3 O's and 2 C's, Hence the arrangements are:

⁷P₇ /(3!2!) = 7!/(3!2!) = 5040/(3!2!) = 420 arrangements

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For a sample of n=64, the probability of a sample mean being less than 20.5 if u = 21 and sigma = 1.31 is (Round to four decim

Svetlanka [38]

Answer:

The mean is usual

Step-by-step explanation:

We have that the mean (m) is equal to 21, the standard deviation (sd) = 1.31 and the sample size (n) = 64

They ask us for P (x <20.5)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (20.5 - 21) / (1.31 / (64 ^ 1/2))

z = -3.05

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <-3.05) = 0.0002

The mean is usual because P (x> 20.5) = 1 - P (x <20.5) = 1 - 0.0002 = 0.9998 is a fairly high probability.

6 0

2 years ago

What is the solution set for this inequality

kompoz [17]

Answer:

$x < 7$

Step-by-step explanation:

1) Subtract 40 from both sides.

$- 8x > - 16 - 40$

2) Simplify -16 - 40 to -56.

$- 8x > - 56$

3) Divide both sides by -8.

$x > \frac{ - 56}{ - 8}$

4) Two negative numbers makes a positive.

$x > \frac{56}{8}$

5) Simplify 56/8 to to 7.

$x < 7$

Therefor the answer is option B. x < 7.

5 0

2 years ago

Read 2 more answers

If 2/5 of pizza costs $1.00 how much will the whole pizza cost

Genrish500 [490]

Answer:

2/5

Step-by-step explanation:

3 0

1 year ago

rice that costs $480 which is for 8 members is used 20 days. What is the cost of rice which is required for 12 members for 15 da

Ber [7]

Answer:

$540

Step-by-step explanation:

1 member 1 day :$480/80/20 = $3

12 members 15 day = $3 * 12 * 15 = $540

Hope this helps!!!

5 0

2 years ago

If a container is being filled at 5 pints per minute, how many gallons per second is this?

Kruka [31]

.010416666666. Use conversion factors to solve.

6 0

2 years ago