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3 years ago

Xy - 11 = 5 show the direct variation expalin your reasoning

1 answer:

5 0

Hey there, Lets solve this one by one

Firstly, add 11 to both sides

 $xy=5+11$

Now, Simplify 5+11 to 16

 $xy=16$

Finally, divide both sides by variable y

 $x = 16 /y$

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Adi used algebra tiles to represent the product (negative 2 x minus 1)(2 x minus 1). An algebra tile configuration. 4 tiles are

Hunter-Best [27]

Answer:

Step-by-step explanation:

8 0

3 years ago

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Kelly and Greta are asked to write an equation for the scenario below. "One person was able to plant 4 trees in the same amount

Alina [70]

Answer:

$y=\dfrac{1}{4}x$

Kelly is correct.

Step-by-step explanation:

One person is able to plant 4 trees

Let x be the number of people

y be the number of trees

The situation is represented by

$1x=4y\\\Rightarrow y=\dfrac{1}{4}x$

5 people are able to plant 20 trees

$5x=5(4y)\\\Rightarrow 5x=20y\\\Rightarrow y=\dfrac{5x}{20}\\\Rightarrow y=\dfrac{1}{4}x$

So, the situation is represented by $y=\dfrac{1}{4}x$

Hence, Kelly is correct.

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3 years ago

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A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting

s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

12 resistors, which means that $N = 12$

3 defective, which means that $k = 3$

4 are selected, which means that $n = 4$

To find an specific probability, that is, of x defectives:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}$

7 0

3 years ago

Solve the equation for x and round your answer to the nearest hundredth. 5x + 14 = 26

maks197457 [2]

5x + 14 = 26

subtract 14 on both sides

5x = 26 - 14

5x = 12

Divide 5 on both sides

x = 12/5

x = 2.4

That's only to the nearest tenth. To make it to the hundreth, just add another 0 at the end. It doesn't change the value of it.

x = 2.40 is your final answer.

7 0

3 years ago

I'LL GIVE BRAINLIEST ANSWER TO CORRECT ANSWER

inn [45]

15*(x+20)+26*x = 3115

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3 years ago