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2 years ago

Solve the following questions-

Mathematics

1 answer:

Setler79 [48]2 years ago

3 0

Answer:

2/5

Step-by-step explanation:

To get the ratio as a pure number, it must be expressed as the quotient of two values that have the same units. For the purpose here, it is convenient to convert both values to units of seconds.

<h3>units conversion</h3>

The conversion factor between minutes and seconds is ...

1 minute = 60 seconds

Multiplying this equation by 3 gives ...

3 minutes = 180 seconds

<h3>ratio of interest</h3>

Then the desired ratio is ...

(72 seconds)/(3 minutes) = (72 seconds)/(180 seconds) = 72/180

= (36×2)/(36×5)

= 2/5

The ratio in its simplest form is 2/5.

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The Crimson Sox are playing a home game and have a 60% chance of winning. At the same time, the Northerners are playing a home g

vovangra [49]

<u>The </u><u>probability</u><u> that the Crimson Sox win and the Northerners lose</u><u> </u><u>is </u><u>24%.</u>

What is a probability simple definition?

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: classical, empirical, subjective and axiomatic.
Probability is synonymous with possibility, so you could say it's the possibility that a particular event will happen.

P(C) = 0.6 P(Nc) = 0. 4

So, the probability that the Crimson Sox win and the Northerners lose

= 0.6 × 0.4

= 0.24 or 24%

Learn more about probability

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1 year ago

Find the measure of angle x. _

sleet_krkn [62]

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(linear pair of angles)

$x = 180 - 120$

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2 years ago

How do I do #11? (Each part of it)

monitta

I hope this helps you

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3 years ago

If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10

Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

We need to find the value of a.

The LCM of (2+i) and (3+i) is (2+i)(3+i)

$=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}$

Now rationalize the denominator by multiplying by 5-5i/5-5i

$=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}$