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Orlov [11]
3 years ago
12

Johan always wears a shirt, pants, socks, and shoes. He owns 20 pairs of socks, 5 pairs of shoes, 10 pairs of pants, and 8 shirt

s. How many different outfits can Johan make?
Mathematics
2 answers:
Cerrena [4.2K]3 years ago
8 0

Answer:

8000

Step-by-step explanation:

DerKrebs [107]3 years ago
6 0

Answer:

Johan can make 8000 different outfits.

Step-by-step explanation:

Johan needs to pick one of each (shirt, pants, socks and shoes) to make a outfit. The number of socks he has is 20 pairs, so he has 20 possibilities for socks. In the same way, the number of possibilities for shoes is 5, for pants is 10 and for shirts is 8.

So, to find the number of outfits he can make, we need to multiply all the possibilities for each case, so:

Number of different outfits = 20 * 5 * 10 * 8 = 8000.

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andrey2020 [161]
Let us convert the percentages to decimal format first.. so 5% is just 5/100 or 0.05 and 15% is just 15/100 or 0.15

so hmmm, so, let's say it needs "x" amount and "y" amount of each respectively, so, whatever "x" and "y" are, they must add up to 100, and whatever their concentration is, must add up to what the mixture yields

thus

\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{5\% alloy}&x&0.05&0.05x\\
\textit{30\% alloy}&y&0.30&0.3y\\
-----&-----&-------&-------\\
mixture&100&0.15&15
\end{array}
\\\\\\
\begin{cases}
x+y=100\implies \boxed{y}=100-x\\
0.05x+0.3y=15\\
----------\\
0.5x+0.3\left( \boxed{100-x} \right)=15
\end{cases}

solve for "x"

what's "y"? well, y = 100 - x
4 0
3 years ago
7. 12, 24, 4, 18, 12, 9<br><br> Using the data, create a histogram.
Mnenie [13.5K]

Answer:

import pandas as pd

vec = pd.Series([7.12,24,4,18,12,9])

vec.plot(kind = 'hist')

Step-by-step explanation:

You can use python for that.

By doing

import pandas as pd

vec = pd.Series([7.12,24,4,18,12,9])

vec.plot(kind = 'hist')

And this is the result you get

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3 years ago
PLEASE HELP!!!!Which of the following options is an equivalent function to f(x)=3(2)3x
vampirchik [111]
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7 0
3 years ago
An airline knows that, on average, the probability that a passenger will not show up for a flight is 6%. If an airplane is fully
V125BC [204]

a) Number of seats expected to be empty = 18

b) Number of passengers expected to show up for the flight = 291

Step-by-step explanation:

Step 1:

Probability that a passenger will not show up for the flight = 6%

Total capacity of the flight when fully booked = 300

Step 2 :

a)

Number of seats expected to be empty = 6% of 300 = \frac{6}{100} × 300 = 18

b)

Number of passengers over booked = 10

Probability that a passenger will turn up for a flight  = 100 - 6% = 94%

Number of passengers when the flight is overbooked = 300 + 10 = 310

Hence number of passengers who are expected to show up for the flight = 94% of 310 =  \frac{94}{100} × 310  = 291.4 = 291 (rounded of whole number as this represents number of passengers)

Step 3 :

Answer :

a) Number of seats expected to be empty = 18

b) Number of passengers expected to show up for flight = 291

8 0
3 years ago
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allochka39001 [22]

Answer: y intercept is 4 and the slope is 4/5

Step-by-step explanation:

5 0
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