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3 years ago

Please help me... ASAP

Mathematics

1 answer:

ahrayia [7]3 years ago

4 0

Hey!

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In a function ONE input-value can be assigned to only ONE output-value.

We can use the vertical line test to see whether each graph is a function or not.

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Graph 1, 5, and 6 are functions. When we draw a line vertically we can see that the line only passes through 1 point on the graph.

Graph 2, 3, and 4 are NOT functions. When we draw a line vertically we can see that the line passes through more then 1 point on the graph.

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Hope This Helped! Good Luck!

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dedylja [7]

Answer:

C ( 8,-6)

Because you move the points according to the rule.

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2 years ago

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Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t

alukav5142 [94]

Answer:

0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were 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:

6 + 6 = 12 seeds, which means that $N = 12$

6 treated, which means that $k = 6$

Five sprouted, which means that $n = 5$

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

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

$P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076$

0.0076 = 0.76% probability that all five plants emerged from treated seeds

3 0

3 years ago

Hey I really need help on this question please

Dmitry_Shevchenko [17]

A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2

Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.

So now you have:
(x+4)^2 + (y-2)^2 = radius^2

So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.

The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.

Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29

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2 years ago

All positive numbers not including 0

Leno4ka [110]

1,2,3,... they are also known as the Natural Numbers

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3 years ago

Solve the equation x = 5/3 (pie) (r^3) for r.

DENIUS [597]

Answer and Step-by-step explanation:

To solve for r, we need to get everything away from r. We can start off by moving five thirds, and pi.

$x = \frac{5}{3} \pi r^{3}$