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3 years ago

Used to find the total number of outcomes with coumpound events

Mathematics

1 answer:

Dahasolnce [82]3 years ago

5 0

Fundamental Counting Principle (FCP) is the answer

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Could someone please help me? Thank you and explain the work because I don’t get this

lesya [120]

Answer:

5.59 times per second.

Step-by-step explanation:

Direct variation is in the form:

$y=kx$

Where k is the constant of variation.

Inverse variation is in the form:

$\displaystyle y=\frac{k}{x}$

In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using f for frequency and l for length:

$\displaystyle f=\frac{k}{\ell}$

We can solve for the constant of variation. We know that the frequency f is 4.3 when the length is 0.65 meters long. Thus:

$\displaystyle 4.3=\frac{k}{0.65}$

Solve for k:

$k=4.3(0.65)=2.795$

So, our equation becomes:

$\displaystyle f=\frac{2.795}{\ell}$

Then when the length is 0.5 meters, the frequency will be:

$\displaystyle f=\frac{2.795}{.5}=5.59\text{ times per second.}$

5 0

3 years ago

A scientist measured the growth rate of a bamboo plant at 6 inches in 12 hours. She compared the growth rate of a bamboo plant t

Arturiano [62]

Answer:

Answer Picture:

Step-by-step explanation:

4 0

3 years ago

Look at the picture

IRISSAK [1]

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction $\frac{1}{5}$ has been multiplied by its reciprocal $\frac{5}{1}$ , making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply $\frac{6}{3}$ · $\frac{5}{1}$ :

6 · 5 = 30

3 · 1 = 3

So now you should have the fraction:

x = $\frac{30}{3}$

But, you can still simplify the fraction by dividing 30 by 3:

x = 10

7 0

3 years ago

A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $

Aloiza [94]

Considering the definition of an inequality, the number of people who can go to the amusement park is 3.

<h3>Definition of inequality</h3>

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.
less than <.
less than or equal to ≤.
greater than or equal to ≥.

An inequality contains one or more unknown values called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.

<h3>Number of people who can go to the amusement park</h3>

In this case, you know that:

A group of friends has no more than $65 to spend on parking and admission.
Parking is $9.75, and tickets cost $16.25 per person, including tax.

Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is

$9.75 + $16.25×p ≤$65

Solving:

$16.25×p ≤$65 - $9.75

$16.25×p ≤$55.25

p ≤$55.25÷ $16.25

p≤ 3.4

Finally, the number of people who can go to the amusement park is 3.

Learn more about inequality:

brainly.com/question/17578702

brainly.com/question/25275758

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