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3 years ago

9

Sam has 6 choices of shirts, 4 choices of pants, 5 choices of socks, and 6 choices of shoes for his working dress. In how many w

ays Sam can select his outfit?

1 answer:

dmitriy555 [2]3 years ago

8 0

looooovvvvveeee these kinds of questions :D

anyways, there are 6 × 4 × 5 × 6=720 outfits

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the table below shows relative frequencies of players outcomes for two teams one player will be randomly selected to be interviw

Maslowich

Answer:

Tationia Rolon

Step-by-step explanation:

I think it will be letter b because the the amount that game lost is greater than the total of wins

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3 years ago

Using principle of mathematical induction prove that 6^-1 divisble by 5 .

salantis [7]

I suppose the claim is $5 \mid 6^n - 1$ for $n\in\Bbb N$ .

When $n=1$ , we have $6^1 - 1 = 6 - 1 = 5$ , and of course 5 divides 5.

Assume the claim holds for $n=k$ , that $5 \mid 6^k - 1$ . We want to use this to show it holds for $n=k+1$ , that $5 \mid 6^{k+1} - 1$ .

We have

$6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5$

Since $5 \mid 6^k - 1$ , we can write $6^k - 1 = 5\ell$ for some integer $\ell$ . Then

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which is clearly divisible by 5. QED

5 0

1 year ago

You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi

irina [24]

Answer:

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

$tan(52^o)=\frac{AC}{50}$ ---> by TOA (opposite side divided by the adjacent side)

Solve for AC

$AC=tan(52^o){50}$

$AC=64\ ft$

step 2

In the right triangle ABE

Find the length side AB

$tan(21^o)=\frac{AB}{50}$ ---> by TOA (opposite side divided by the adjacent side)

solve for AB

$AB=tan(21^o){50}$

$AB=19.19\ ft$

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

so

$64-19.19=44.81\ ft$

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2 years ago

How does depositon change the earths surface

jok3333 [9.3K]

Step-by-step explanation:

"Deposition occurs when weathered rocks, soil, and sediments are carried by erosion to a new location and left there. Deposition happens when the forces carrying the sediments - wind, water, glaciers - are no longer strong enough to move the sediments. Rivers and streams fill with melting snow in the springtime."

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3 years ago

The number of boys if the total height would of the boys is 16.4 meters and their average height is 1.2 meters

galben [10]

Number of boys= 16.4÷ 1.2=13

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3 years ago