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oksano4ka [1.4K]
3 years ago
8

Inverse variation equation that relates x and y.

Mathematics
1 answer:
Natalija [7]3 years ago
7 0

Answer:An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .

Step-by-step explanation:

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How do you solve this?
posledela
Notice that the given info consists of boundary lines for an area in the xy plane.  We are interested ONLY in values of x and y that are 0 or greater (positive).  Graph 5x + 3y \leq 37 and 3x + 5y less than or equal to 35.

Find the points of intersection of all four straight lines (including the x- and y-axes).  There will be 4 such points (incl. the origin).

Next, evaluate the objective function 2x + 14y at each of these 4 points.  Which of the four results is the largest?  the smallest?  Label them as 'maximum' and 'minimum.'

Questions?  Just comment on this discussion.

4 0
4 years ago
a test consists of 10 true false questions to pass a test a student must answer at least six questions correctly if a student gu
Delicious77 [7]

Answer:

P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)

And using the probability mass function we got:

P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205

P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117

P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439

P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098

P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977

And adding the values we got:

P(X\geq 6) = 0.377

The best answer would be:

D. 0.377

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.5)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)

And using the probability mass function we got:

P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205

P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117

P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439

P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098

P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977

And adding the values we got:

P(X\geq 6) = 0.377

The best answer would be:

D. 0.377

8 0
3 years ago
I say need help plz can u also add a formula?
Juli2301 [7.4K]

Answer:

I'm confused, do u just need a formula?

4 0
3 years ago
Find the missing side lengths. Leave your answer as radicals in simplest form.
SOVA2 [1]

Answer:

sin 30=opposite/hypotenuse=7/2/x

1/2*x=7/2

x=7/2*2

x=7

y=\sqrt{7²-(7/2)²}=7/3\sqrt{3}

8 0
3 years ago
Write -7 - (-4) as an addition problem. Then simplify the expression.
SVETLANKA909090 [29]
-7 + 4

if you subtract a negative it turns it into a positive, so just take away the negative and turn the sub into an addition sign
8 0
4 years ago
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