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3 years ago

14

How many three letter permutations are possible from the letters in the word ACTION? ("ACT" is not the same as "CAT" so order is

important.)

1 answer:

Alinara [238K]3 years ago

7 0

Answer:

120

Step-by-step explanation:

formula:

$\frac{n!}{(n-h)!}=\frac{6!}{(6-3)!}=120$

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Use the graph to determine the y intercept

mafiozo [28]

Answers:

y intercept: 9
zeros: -3, -1, 1, 3

===============================================

Explanation:

The y intercept is where the curve crosses the y axis. The curve appears to do so just below y = 10, so y = 9 seems like a good estimate. I'm basing this off of the answer choices given. The y intercept always occurs when x = 0.

The zeros, aka roots or x intercepts, are where the curve crosses or touches the x axis. This occurs in four locations: x = -3, x = -1, x = 1 and x = 3. The x intercepts always occur when y = 0.

8 0

2 years ago

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

A car travelled 23.6 kilometers. How many meters did the car travel

nasty-shy [4]

The car traveled 23600 meters

5 0

3 years ago

Read 2 more answers

While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated tha

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated that the distribution of the student test scores are normally distributed with a mean of 79.13 and a standard deviation of 6.34. What is the probability that the student scores less than 60.11

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

z = 60.11 - 79.13/6.34

6 0

3 years ago

$49 jeans are 20% off, what is the sale price

madam [21]

Answer:

$39.2

Step-by-step explanation:

The sale price will be 20% of $49 subtracted from $49

That’s

20% /100% x $49

0.2 x $49

$9.8

Sale price = $49 - $9.8

= $39.2

The sale price is $39.2

8 0

3 years ago

Read 2 more answers