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3 years ago

Suppose M varies directly with S. If M is 900 when S is 500, which equation relates M to S

Mathematics

1 answer:

julsineya [31]3 years ago

6 0

Answer: M = ⁹/₅S

Step-by-step explanation:

M ∞ S -------------------------------- 1

M = KS ------------------------------ 2

K is a constant and need to be calculated

substitute for M and S in 2 to find K

900 = K500

K = ⁹⁰⁰/₅₀₀

= ⁹/₅

Therefore , the equation that connect / relates M to S will be

M = KS

M = ⁹/₅S

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A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the pr

worty [1.4K]

Answer: The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

Step-by-step explanation: Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.

Let S be the sample space for the experiment of pulling a marble.

Then, n(S) = 12 + 8 + 5 = 25.

Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.

The, n(E) = 12, n(F) = 8 and n(G) = 5.

Therefore, the probabilities of each of these three events E, F and G will be

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{12}{25}=\dfrac{12}{25}\times100\%=48\%,\\\\\\P(F)=\dfrac{n(F)}{n(S)}=\dfrac{8}{25}=\dfrac{8}{25}\times100\%=32\%,\\\\\\P(G)=\dfrac{n(G)}{n(S)}=\dfrac{5}{25}=\dfrac{5}{25}\times100\%=20\%.$

Now, the probability of pulling three green marbles out with replacement is given by

$P(G)\times P(G)\times P(G)=\dfrac{5}{25}\times\dfrac{5}{25}\times \dfrac{5}{25}=\dfrac{1}{125}=\dfrac{1}{125}\times100\%=0.8\%.$

Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

4 0

3 years ago

Please help I need this answered now

victus00 [196]

Answer:

Step-by-step explanation:

8^2 +12^2 = hyp ^2

64 +144 = hyp^2

208 =hyp ^2

Hyp = 4 root 13

x = sqaureroot of ( 18^2 + (4 root 13)^3)

x = sqaureroot of (324 +208)

x = sqaureroot of 532

x = 2 root 133

x = 23.065

x = 23

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2 years ago

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NikAS [45]

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3 years ago

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dimaraw [331]

Answer:

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Step-by-step explanation:

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2 years ago

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What does the remainder theorem conclude given that f(x)/x+6 has a remainder of 14? Enter your answer by filling in the boxes.

musickatia [10]

Answer:

$f(-6)=14$

Step-by-step explanation:

According to the remainder theorem, if a function f(x) is divided by (x-a), then the remainder is defined by f(a).

It is given that $\dfrac{f(x)}{x+6}$ has a remainder of 14.

Here, the function f(x) is divided by (x+6). So, on comparing (x+6) and (x-a), we get

$a=-6$

So, by remainder theorem, remainder of $\dfrac{f(x)}{x+6}$ is f(-6).

Since the remainder is 14, therefore

$f(-6)=14$

Therefore, the answer for first blank is -6 and for second blank is 14, i.e., $f(-6)=14$ .

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3 years ago