1 year ago

Find the number of permutations in the word “swimming”.

1 answer:

3 0

I believe it is 8!/(2!*2!)
You have a total of 8 letters but you have 2 letters that repeat twice each.
(8*7*6*5*4*3*2*1)/(2*1*2*1)
8*7*6*5*3*2 = 10,080 ways

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Dina and Masha started out on a 20 miles bike path at the same time. When Dina reached the end of the 20 miles, Masha still had

leonid [27]

Answer:

8mph

Step-by-step explanation:

(20-4)/2

=16/2

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1 year ago

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The distribution of the amount of a customer’s purchase at a convenience store is approximately normal, with mean $15.50 and sta

viktelen [127]

Answer:

0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

Step-by-step explanation:

Mean = $\mu = 15.50$

Standard deviation = $\sigma = 1.72$

We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00

P(14<x<16)

Formula : $z=\frac{x-\mu}{\sigma}$

At x = 14

$z=\frac{14-15.50}{1.72}$

$z=-0.8720$

Refer the z table for p value

P(x<14)=0.1922

At x = 16

$z=\frac{16-15.50}{1.72}$

$z=0.290$

Refer the z table for p value

P(x<16)=0.6141

P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42

So, Option C is true

Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

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1 year ago

Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB

SpyIntel [72]

Determine the slope of line AB
m = 5

Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5

Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.

The answer is first option.

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2 years ago

Round 96.9617186007 to the nearest tenth.

Pavlova-9 [17]

if you're talking about the whole number, 100.96. if you're referring to decimal place values; 96.70.

underline the digit that you round to

circle the digit to the right

five or more goes up

four or less stays the same

everything behind becomes a zero.

6 0

2 years ago