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3 years ago

Variable y varies directly with variable x, and y = 6 when x = 20.

Mathematics

1 answer:

-BARSIC- [3]3 years ago

7 0

In a direct proportion, the equation can be set up as
y = kx
k = y/x
k = 6/20
k = 0.3

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3 years ago

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

Natalija [7]

Answer:

2.38%

Step-by-step explanation:

Given that:

The population size involving numbers of treated and untreated seeds N = 10

the number of seeds that are treated which are observed = 5

the number of seeds that sprouted 'n' = 4

Now, use the method of hypergeometric probability, we have the formula:

$p(y) = \dfrac{(^r_y)(^{N-r}_{n-y})}{(^N_n)}$

∴

$p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}$

$p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }$

$p(4) = \dfrac{\dfrac{5!}{4!}* \dfrac{5!}{(5)!} }{\dfrac{10!}{4!(6)!} }$

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4 years ago

The 700th term in a geometric sequence is 20. If the common ratio of the sequence is 0.25, what is the 699th term?

GenaCL600 [577]

There are two ways to solve this problem. First, you can use the derived formula for geometric sequence which can be used to find any nth term of the sequence. Or, we can use the second easier way. Since we are given with the 700th term, and the asked is the 699th term, then that means,

(699th term)*(Common Ratio) = 700th term
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3 years ago

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