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2 years ago

ABCD and JKLM are similar rectangles. What is the perimeter of JKLM?

Mathematics

2 answers:

baherus [9]2 years ago

5 0

1) 3 / x = 4 / 6
2) 4x = 18
3) x = 4.5
4) 4.5 + 6 + 4.5 + 6 = 21
Answer: 21 m

FrozenT [24]2 years ago

3 0

Answer:

Option A is correct.

Step-by-step explanation:

Given: ABCD and JKLM are similar triangles.

AD = 3 m , CD = 4 m and ML = 6 m

To find: Perimeter of rectangle JKLM.

If two rectangles are similar then their corresponding sides are in equal ratio.

⇒ $\frac{AD}{JM}=\frac{CD}{LM}$

So, $\frac{3}{JM}=\frac{4}{6}$

$JM=\frac{3\times6}{4}$

JM = 9/2

JM = 4.5 m

Perimeter of rectangle JKLM = 2 ×( JM + LM ) = 2 × ( 4.5 + 6 ) = 2 × 10.5 = 21 m

Therefore, Option A is correct.

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2 years ago

A polling organization contacts 1172 male university graduates who have a white collar job and asks whether or not they had rece

hichkok12 [17]

Answer:

The population in the study are those male university graduates who have a white collar job.

Step-by-step explanation:

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

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I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

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Sample of 1172 male university graduates who have a white collar job and asks whether or not they had received a raise atnbsp work nbspduring the past 4 months.

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if:a) a

lara31 [8.8K]

Answer:

A) 0.0009765625

B) 0.0060466176

C) 2.7756 x 10^(-17)

Step-by-step explanation:

A) This problem follows a binomial distribution. The number of successes among a fixed number of trials is; n = 10

If a 0 bit and 1 bit are equally likely, then the probability to select in 1 bit is; p = 1/2 = 0.5

Now the definition of binomial probability is given by;

P(K = x) = C(n, k)•p^(k)•(1 - p)^(n - k)

Now, we want the definition of this probability at k = 10.

Thus;

P(x = 10) = C(10,10)•0.5^(10)•(1 - 0.5)^(10 - 10)

P(x = 10) = 0.0009765625

B) here we are given that p = 0.6 while n remains 10 and k = 10

Thus;

P(x = 10) = C(10,10)•0.6^(10)•(1 - 0.6)^(10 - 10)

P(x=10) = 0.0060466176

C) we are given that;

P((x_i) = 1) = 1/(2^(i))

Where i = 1,2,3.....,n

Now, the probability for the different bits is independent, so we can use multiplication rule for independent events which gives;

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This gives;

P(x = 10) = [1/(2^(1))]•[1/(2^(2))]•[1/(2^(3))]•[1/(2^(4))]....•[1/(2^(10))]

This gives;

P(x = 10) = [1/(2^(55))]

P(x = 10) = 2.7756 x 10^(-17)

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2 years ago