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2 years ago

What is the area of a circle with a diameter of 28 inches? Answer in terms of Pi. *

Mathematics

1 answer:

rusak2 [61]2 years ago

8 0

Formula for the area of a circle:

A = πr² (A = Area π(pi) r = radius)

You know:

r = 14 inches So substitute/plug it into the equation

[Radius is $\frac{1}{2}$ (half) of the diameter. The diameter is 28, so half of 28 = 14]

A = πr² Plug in 14 into "r" since r = 14

A = π(14)² Find 14² --> 14 x 14 = 196

A = 196π in² Your answer is the 4th option

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Factor -5 out of 10a-25

kakasveta [241]

The answer is -5(-2a+5)

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2 years ago

Which of the following is not a rational number?

IceJOKER [234]

Answer:

Option D is not a rational number

Step-by-step explanation:

A rational number is one that can be represented in the form of fraction like X/Y, where X and Y are integers and X ≠ 0. While an irrational number is one that cannot be expressed in the form of simple fractions.

For example, ¾ is a rational number while √3 is an irrational number.

Now to the question;

A) The product of 2 and 0.3333 gives;

2 × 0.3333 = 0.6666.

This can be expressed as a fraction as; 6666/10000.

Thus it is a rational number

B) The sum of 2 + √3 and 5 - √3 gives;

2 + √3 + 5 - √3 = 7

As a fraction, it can be written as; 7/1

Thus it is a rational number.

C) The sum of 37 and 12 is;

37 + 12 = 49

Can be expressed as; 49/1

Thus,it's a rational number.

D) Product of 2 and √2 gives;

2 × √2 = 2√2

It can't be expressed as a fraction with integers. Thus, it's not a rational number.

6 0

2 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

aev [14]

Answer:

P(X < 3) = 0.7443

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 6

r = number of success = less than 3

p = probability of success which in our question is 0.3.

LET X = a random variable

So, it means X ~ $Binom(n=6, p=0.3)$

Now, Probability that X is less than 3 = P(X < 3)

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

= $\binom{6}{0}0.3^{0} (1-0.3)^{6-0}+ \binom{6}{1}0.3^{1} (1-0.3)^{6-1}+ \binom{6}{2}0.3^{2} (1-0.3)^{6-2}$

= $1 \times 1 \times 0.7^{6} +6 \times 0.3^{1} \times 0.7^{5} +15 \times 0.3^{2} \times 0.7^{4}$

= 0.11765 + 0.30253 + 0.32414 = 0.7443

Therefore, P(X < 3) = 0.7443.

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3 years ago

Whats the value of number 3 in 6,035

Sergio039 [100]

<span>When writing a number, the values that given to the numbers are as follows, starting from the right: ones, tens, hundreds, thousands, ten thousands, etc. The three is located on the second position from the right, meaning it is in the tens place. The significance of this is that it has 3 tens, which means its value is 30.I hope that my answer is helpful! Let me know if you need something more :)</span>

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2 years ago

Ez pts

Kobotan [32]

Answer:

well first 312 in radical form is √312 and that simplified is 2√78 or 17.66352173

Step-by-step explanation:

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2 years ago