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Alex_Xolod [135]
3 years ago
8

Used to find the total number of outcomes with coumpound events

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0
F<span>undamental Counting Principle (FCP) is the answer </span>
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Online jewelry sales have increased steadily over the last 10 years. In 2003, sales were approximately 2 billion dollars, and in
UNO [17]

Answer:

rate\ of\ increase = 28.8\ billion\ dollars\ per\ year

model: y = 28.8(t-2003) + 2

profit in year 2017: y =  405.2\ billion\ dollars

Step-by-step explanation:

The sales increased from 2 billion dollars to 146 billion dollars in five years, so to find the increase in billion dollars per year, we just need to divide the increase by the amount of time:

rate\ of\ increase = (146 - 2)/5 = 144 / 5 = 28.8\ billion\ dollars\ per\ year

To construct a model for these sales, we can use the year 2003 as the initial point of a linear equation:

y = ax + b

the variable y will represent the profit in billion dollars, the variable x will represent our time, so we can use (t - 2003) in its place to represent the number of years since 2003 (t is the year we want to calculate), the constant 'a' will be our rate of 28.8, and the constant 'b' is the inicial value for the year 2003, that is, 2 (billions). So we have:

y = 28.8(t-2003) + 2

In the year 2017, we would have:

y = 28.8(2017-2003) + 2

y = 28.8*14 + 2

y =  405.2\ billion\ dollars

6 0
3 years ago
PLEASE HELP ME!!!!!!!
Shalnov [3]

Answer:

i6 sqrt 5

Step-by-step explanation:

It cannot be 12i sqrt 5 as this is 26.8326....

it cannot be  18i sqrt 5 as this is 40.249...

It cannot be 8i sqrt 5 as this is 17.888....

It cnanot be 8i sq rt 10 as this is 25.298....

i6 sq rt 5 = sqrt -180

6 0
2 years ago
Read 2 more answers
Can someone please help me I really need help please please help me
Len [333]

Answer:

p= -3d-6

Step-by-step explanation:

I think this is right because he's eating 3 pieces each day after which would be -3d and d represents the amount of days, and the -6 represents the 6 pieces of candy he ate on his birthday. Hope this helps!

8 0
3 years ago
Read 2 more answers
Joe has to take two quizzes tomorrow. He has only enough time to study for one of them. The science quiz has 6 true or false que
finlep [7]

Answer:

C) English

Step-by-step explanation:

I don't really know how to explain it, so I'll show you instead.

For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.

So,

0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016

For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.

So,

0.25 x 0.25 x 0.25 x 0.25 = 0.004

They will have to study English (0.004) because it is lower than science (0.016).

4 0
2 years ago
Read 2 more answers
A chemist wants to make 100 liters of a 44% acid solution. She has solutions that are 20% acid and 60% acid.
alexgriva [62]

the first solution is 20% acid, and say we'll be using "x" liters, so how many liters of just acid are in it?  well 20% of "x" or namely 0.2x.  Likewise for the 60% acid solution, if we had "y" liters of it, the amount of only acid in it is 0.6y.

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&x&0.20&0.2x\\ \textit{2nd solution}&y&0.60&0.6y\\ \cline{2-4}&\\ mixture&100&0.44&44 \end{array}~\hfill \begin{cases} x+y=100\\\\ 0.2x+0.6y=44 \end{cases}

x+y=100\implies y=100-x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.2x+0.6(100-x)=44} \\\\\\ 0.2x+60-0.6x=44\implies -0.4x+60=44\implies -0.4x=-16 \\\\\\ x=\cfrac{-16}{-0.4}\implies \boxed{x=40}~\hfill \boxed{\stackrel{100-40}{y=60}}

7 0
2 years ago
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