All categories

2 years ago

Suppose that x=6 and y=8. If y is inversely related to x, what is y when x=3?

1 answer:

andrey2020 [161]2 years ago

5 0

$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
x=6\\
y=8
\end{cases}\implies 8=\cfrac{k}{6}\implies 48=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{48}{x}}
\\\\\\
\textit{when x = 3, what is \underline{y}?}\qquad y=\cfrac{48}{3}$

You might be interested in

The measure of an angle is 4y. Find the measure of its complement.

guapka [62]

the answer is a because complement angles have a sum of 90 degrees

6 0

2 years ago

Read 2 more answers

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth wh

nirvana33 [79]

Answer:

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.

This means that $p = 0.267$

What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

10 individuals, so n = 10.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.267)^{0}.(0.733)^{10} = 0.0448$

$P(X = 1) = C_{10,1}.(0.267)^{1}.(0.733)^{9} = 0.1631$

$P(X = 2) = C_{10,2}.(0.267)^{2}.(0.733)^{8} = 0.2673$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0448 + 0.1631 + 0.2673 = 0.4752$

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

5 0

3 years ago

These are the weekly wages paid to staff in a hotel. £245 £140 £525 £163 £195 £174 £140 What is the modal wage?

choli [55]

Answer:

£140

Step-by-step explanation:

Modal is the most common value in a sample, in this case it's 140

8 0

2 years ago

If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x^2-14x+74, find the number of units manufact

vova2212 [387]

<h2>Steps:</h2>

So for this, since C(x) is the cost, and we are given the cost of $9050, we will plug 9050 into C(x) and solve for x:

$9050=x^2-14x+74$

So for this, I will be completing the square. Firstly, subtract 74 on both sides of the equation:

$8976=x^2-14x$

Next, we want to make the right side of the equation a perfect square. To find the constant of this soon-to-be perfect square, you need to divide the x coefficient by 2, square the quotient, then add the result on both sides of the equation. In this case:

-14 ÷ 2 = -7, (-7)² = 49

$9025=x^2-14x+49$