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3 years ago

How to find the length of AB

Mathematics

1 answer:

nexus9112 [7]3 years ago

4 0

Scale factor = 15/9 = 1.67
AB = 1.67 x 6 =10

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Mkey [24]

I would say the answer is a

7 0

3 years ago

A series consists of some numbers such that the summation of the divisors of any number of that series is 1 less than twice of t

dezoksy [38]

Answer:

The 9th term is 17179869184

Step-by-step explanation:

Here we have that;

The divisors of 1 = 1 which is 1 less than 1*2

The sum of the divisors of 2 = 1 + 2 = 3 which is 1 less than 2*2

The sum of the divisors of 4 = 1 + 2 + 4 which is 1 less than 4*2

The sum of the divisors of 8 = 1 + 2 + 4 + 8 which is 1 less than 8*2

The sum of the divisors of 32 = 1 + 2 + 4 + 8 + 16 + 32 which is 1 less than 32*2

The sum of the divisors of 256 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 which is 1 less than

The next numbers are therefore,

32 × 256 = 8192

256 × 8192 = 2097152 and the 9th term is therefore;

8192 × 2097152 = 17179869184.

4 0

3 years ago

A study found that 1% of Social Security recipients are too young to vote. If 800 social security recipients are randomly select

GalinKa [24]

Answer:

8, 7.92, 2.81

Step-by-step explanation:

For each Social Security recipient, there are only two possible outcomes. Either they are too young to vote, or they are not. The probability of a Social Security recipient is independent of any other Social Security recipient. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The variance of the binomial distribution is:

$V(X) = np(1-p)$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$n = 800, p = 0.01$

Mean:

$E(X) = np = 800*0.01 = 8$

The variance of the binomial distribution is:

$V(X) = np(1-p) = 800*0.01*0.99 = 7.92$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.01*0.99} = 2.81$

Formatted answer: 8, 7.92, 2.81

6 0

4 years ago

A car travels around a circular track. The inside wheels follow along the line of the inner circle, and the outer wheels follow

forsale [732]

Circumference is: C = 2πr

Circumference of the bigger circle (outer tire) is 157ft. Circumference of the smaller circle (inner tire) is 132ft.

50π - 42π, which is 8π

8 0

3 years ago

Convert 625 to base twelve

Goshia [24]

Answer:

441

Step-by-step explanation:

7 0

3 years ago