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amid [387]
3 years ago
15

Find the inverse of y=100-x^2

Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0

Answer:

The inverse  is ±sqrt(100-x)

Step-by-step explanation:

To find the inverse, exchange x and y

x = 100 -y^2

Solve for y

Subtract 100 from each side

x - 100 = -y^2

Divide by -1

-x +100 = y^2

Take the square root of each side

±sqrt(100-x) = sqrt(y^2)

±sqrt(100-x) =y

The inverse  is ±sqrt(100-x)

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A trolley company charges a fixed amount plus a fee based on the distance traveled. The cost chart for the company is shown:
Liula [17]

Answer: $6

Step-by-step explanation:

Given: A trolley company charges a fixed amount plus a fee based on the distance traveled.

If y represents cost (dollars) charged by the company for x distance traveled  (miles) .

then y=mx+c represents the total cost where c is the fixed charge and m is the fee for the distance traveled.

From, table we can see when x=0, y=6.

\\\Rightarrow\ 6=0+c\\\Rightarrow\ c=6

Hence, the fixed fee charged by the company is $6.

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3 years ago
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Place the decimal point in the answer to make it correct. Explain your reasoning. 3.9853 x 8.032856 = 32013341
Marrrta [24]
Count the number of decimal places in both of the factors: 3.9853 and 8.032856, when u count u can see that there are 10 numbers behind the decimal. so place the decimal, in the product, 10 places.  so the answer is 0.0032013341

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3 years ago
Determine the following:
dolphi86 [110]

Answer:

a) P(X = 0) = 0.5997

b) P(X = 9) = 0.0016

c) P(X = 8) = 0.0047

d) P(X = 5) = 0.4018

Step-by-step explanation:

These following problem are examples of the binomial probability distribution.

Binomial probability

Th 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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

(a) for n = 4 and π = 0.12, what is P(X = 0)?

P(X = 0) = C_{4,0}.(0.12)^{0}.(0.88)^{4} = 0.5997

(b) for n = 10 and π = 0.40, what is P(X = 9)?

P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016

(c) for n = 10 and π = 0.50, what is P(X = 8)?

P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0047

(d) for n = 6 and π = 0.83, what is P(X = 5)?

P(X = 5) = C_{6,5}.(0.83)^{5}.(0.17)^{1} = 0.4018

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Answer:

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Step-by-step explanation:

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