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Neko [114]
3 years ago
5

Domain range function?

Mathematics
1 answer:
oee [108]3 years ago
7 0
Domain is x range is y 
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Use the distance formula to find the distance, to the nearest tenth, from S(7, −1) to V(−1, 3).
34kurt

Answer:  8.9 units (choice C)

Explanation:

We plug (x_1,y_1) = (7,-1) \text{ and } (x_2,y_2) = (-1,3)\\\\ into the distance formula to get the following

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-(-1))^2 + (-1-3)^2}\\\\d = \sqrt{(7+1)^2 + (-1-3)^2}\\\\d = \sqrt{(8)^2 + (-4)^2}\\\\d = \sqrt{64 + 16}\\\\d = \sqrt{80}\\\\d \approx 8.94427\\\\d \approx 8.9\\\\

4 0
2 years ago
Find all solutions to this equation please​
Elena L [17]

Answer:

○ d. \displaystyle \frac{5}{8}, \frac{35}{8}, \frac{45}{8}, \frac{75}{8}

Step-by-step explanation:

<em>See my above explanation</em>

I am joyous to assist you anytime.☺️

3 0
3 years ago
Read 2 more answers
Write $3.9 out of $60 as percentage​
Norma-Jean [14]

Answer:

Step-by-step explanation:

\frac{3.9}{60}*100=\frac{13}{2}

            = 6.5%

4 0
2 years ago
Suppose that f(x)=x^2 and g(x)= -4/5x^2 which statement best compares the graph of g(x) with the graph of f(x)
Cloud [144]
G(x) is f(x) rotated about the x-axis and then compressed vertically by a factor of 4/5.
5 0
3 years ago
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A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield
Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. 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.

17 randomly selected pens

This means that n = 17

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

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

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

P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167

P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315

P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

8 0
3 years ago
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