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OleMash [197]
3 years ago
12

Let y be inversely proportional to x. if x​ doubles, what happens to​ y?

Mathematics
1 answer:
Mila [183]3 years ago
4 0
When it is said that a variable is inversely proportional to another, it is best to write out an equation to represent it. 

This means; 

y=k/x (where k is a constant number like 1 or 2, etc) 

If you double x, the value of y is halved. I have attached a graph that shows this. 

Hope I helped :) 

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Please help! I really need help on this. Also if I could get an explanation on this it would really help.
Firdavs [7]

Answer:

x= 10

Step-by-step explanation:

Since the triangles are congruent

<B = <E

50 = 5x

Divide each side by 5

50/5 = 5x/5

10 =x

4 0
3 years ago
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A section of road covers 18.3 square feet. Each square foot will require 5.1 minutes to repair.
Salsk061 [2.6K]

Answer:I think it’s 61 minutes

Step-by-step explanation:

8 0
2 years ago
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True or False, Explain your choice...<br><br>No irrational number are whole number​
bezimeni [28]
True… irrational numbers focus more around square roots that cant be simplified into a single number, or symbols like pi. while not all rational numbers are whole, an irrational number can never be whole.
4 0
3 years ago
Simplify the expression to a polynomial in standard form:
lukranit [14]

Answer:

-x^3+7x^2-6x-18

Step-by-step explanation:

Use distributive property: (-x+3)(x^2-4x-6)

What is -x * x^2? Answer: -x^3

What is 3 * x^2? Answer: +3x^2

What is -x * -4x? Answer: +4x^2

What is 3* -4x? Answer: -12x

What is -x * -6? Answer: +6x

What is 3 * -6? Answer: -18

-x^3+3x^2+4x^2-12x+6x-18

Combine like terms, and your answer would be....

-x^3+7x^2-6x-18

Hope this helps :)

Have a great day!

7 0
2 years ago
There are several scenarios described below. For each of them, do the following (note: R.V. means random variable) (1) Define th
frutty [35]

Answer:

a) The Ohio Bureau of Motor Vehicles states that 7 out of 8 people pass the written driver’s test.

Let X be the number of test given by the test taker to pass out.

So X~Geometric(p) where p=Probability that for a particular test anyone will pass the written test=7/8

and here support of X be equal to 1,2,3,..... i.e X is a Natural number

So ,probability that he will pass the written test in fewer than 4 tries

=P(X<4)

=\sum _{x=0}^{3}p(1-p)^{x-1}

b) LAIMO manufacturing company makes parts for the auto industry. Approximately 3% of the parts it makes are defective.

So let X=number of non defective parts sampled before the 3rd defective part is sampled

then X~Negative Binomial(r,p) where here r=3 and p=Probability that a randomly selected part is defective= 0.03

where support of X is {0,1,2,3,...}

So the probability that the third defective part is the 20th one sampled.

P(X=20-3=17)

=\binom{r+16}{17}p^r(1-p)^{16}

c) A BigMart store is going to hire 3 new cashiers. It has 18 applicants (10 male, 8 female) for these 3 cashier jobs.

So let X be number of female cashier appointed.

Here X~Hypergeometric(3,8,18) where

f(x)=P(X=x)

=\left\{\begin{matrix} \frac{\binom{8}{x}.\binom{10}{3-x}}{\binom{18}{3}} & ,x=0,1,2,3\\ 0 & ,otherwise \end{matrix}\right.

So the probability that none of the positions are filled by females

=P(X=0)

d) A gardener is inspecting the fall flowers in her garden. She notices, on average, 4 bugs on a flower. She randomly picks one flower from her garden.

Let X be the numbers of bugs on that flower

So X follows Poisson distribution with mean 4 where support of X is {0,1,2,3.....}

So the probability that the flower she picked has at least one bug on it

=P(X\geq 1)=1-P(X=0)

=1-e^{-4}\frac{4^x}{x!}|_{x=0}

e) A student is taking a true/false test that consists of 15 questions. Based on past performance the student has approximately a 70% chance of getting any individual question correct.

So let X be the number of questions that are correct among those 15 questions.

so X~Binomial(n,p) where n=15 and p=Probability that he get an individual question correct =0.7

where support of X be {0,1,2,3,...,15}

So the probability that the student gets at least 60% of the questions on the test correct or 15x60%=9 questions are correct

=P(X\geq9)

=\sum _{x=9}^{15}\binom{15}{x}p^x(1-p)^{15-x}

f) A certain radio station’s phone lines are busy approximately 95% of the time when trying to call during a contest.

Let X denotes the number of calls to get into the contest.

So X~Geometric(p) where p=Probability that in a call I get through into the contest=1-0.95=0.05

support of x={1,2,3,....}

So the probability that the 4 th time you call is the 1st time you get through during a contest.

=P(X=4)

=p(1-p)^4

4 0
3 years ago
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