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3 years ago

In a direct variation equation f(x) = 6 when x = 4. what is the direct variation equation

Mathematics

2 answers:

aksik [14]3 years ago

8 0

Answer:

C-f(x)=1.5x

just took the quiz and 3/2 reduces to 1.5

KiRa [710]3 years ago

5 0

Answer:

D) $f(x)=1.5x$

Step-by-step explanation:

Direct variation is the opposite of Proportional Variation. It is given according to this formula:

$y=kx$

The notation f(x) = y. Since f(x)=y= 6 and x=4 Firstly let's find k. Then plug it back to the original one.

We have:

$y=kx\\6=k4\\k=\frac{6}{4} =k=\frac{3}{2}\\y=\frac{3}{2}x \Rightarrow y\approx1.5x$

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C. Make solving a word problem easier.

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3 years ago

Natasha used 21 square tiles to make a rectangle. Which of the following could be the dimensions of her rectangle?

EleoNora [17]

Answer:

7×3

Step-by-step explanation:

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2 years ago

Read 2 more answers

If 20% of the people in a community use the emergency room at a hospital in one year, find

Pie

Answer:

a) 87.91% probability that at most three used the emergency room

b) 20.13% probability that exactly three used the emergency room.

c) 3.28% probability that at least five used the emergency room

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they use the emergency room, or they do not. The probability of a person using the emergency room is independent of any other person. 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.

Sample of 10 people:

This means that $n = 10$

20% of the people in a community use the emergency room at a hospital in one year

This means that $p = 0.2$

a) At most three used the emergency room

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

$P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684$

$P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020$

$P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1074 + 0.2684 + 0.3020 + 0.2013 = 0.8791$

87.91% probability that at most three used the emergency room

b) Exactly three used the emergency room

$P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013$

20.13% probability that exactly three used the emergency room.

c) At least five used the emergency room

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

From 0 to 3, we already have in a).

$P(X = 4) = C_{10,4}.(0.2)^{4}.(0.8)^{6} = 0.0881$

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.1074 + 0.2684 + 0.3020 + 0.2013 + 0.0881 = 0.9672$

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.9672 = 0.0328$

3.28% probability that at least five used the emergency room

4 0

3 years ago

Jason and Beth are married and don’t have any kids yet. They are out of debt except for their house, and they have a full emerge

UNO [17]

Answer:

Pay cash for the whole car.

Step-by-step explanation:

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3 years ago

Solve for u. -4+2 u = -10 Simplify your answer as much as possible.

aliya0001 [1]

Answer:

u = -3

Step-by-step explanation:

Step 1: Write equation

-4 + 2u = -10

Step 2: Solve for u

Add 4 to both sides: 2u = -6

Divide both sides by 2: u = -3

Step 3: Check

Plug in x to verify if it's a solution.

-4 + 2(-3) = -10

-4 - 6 = -10

-10 = -10

3 0

4 years ago