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irinina [24]
3 years ago
11

if the diameter of the concentric circles as shown in the given figure are in the ratio 1:2:3 then find the ratio of the areas o

f three regions​

Mathematics
2 answers:
Monica [59]3 years ago
5 0

Answer:

1 : 4 : 9

Step-by-step explanation:

Given the ratio of diameters = a : b , then

ratio of areas = a² : b²

Here ratio of diameters = 1 : 2 : 3 , so

ratio of areas = 1² : 2² : 3² = 1 : 4 : 9

aleksklad [387]3 years ago
5 0
1:4:9 hopefully it will be correct
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Answer:

8

Step-by-step explanation:

When you divide by a fraction, you can also say that you are multiplying by the reciprocal.

So 6/\frac{3}{4}=6*\frac{4}{3}

6=\frac{6}{1}

\frac{6}{1}*\frac{4}{3}=\frac{24}{3}=8

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Answer:

b = \frac{1}{5}

Step-by-step explanation:

35b = 7

Divide both sides by 35.

b = \frac{7}{35}

Reduce the fraction \frac{7}{35} to the lowest terms by extracting and canceling out 7.

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How many solutions does 1/2 (10x + 15) – 3/2 = 2x + 6 + 3x have
pashok25 [27]

Answer:

1 solutuion

Step-by-step explanation:

write out the equation then distribute everything that's in the parenthesis to 1/2 also combine like term on the other side of the equation. left with 5x+15-3/2=5x+6 . do 15-3/2 u get 13.5. subtract 6 on both sides left with 5x+7.7=5x. subtract 5x on both sides left with x=7.5

8 0
3 years ago
Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with
Vedmedyk [2.9K]

Answer:

P(X < 4) = 0.5

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that 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.

In this question, we have that:

n = 7, p = 0.5

Find the probability that the number of correct answers is fewer than 4:

This is

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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

P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078

P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547

P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641

P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5

So

P(X < 4) = 0.5

6 0
3 years ago
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