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kipiarov [429]
3 years ago
8

Which of these best describes d, the diameter of a circle?

Mathematics
1 answer:
oee [108]3 years ago
6 0

Answer:

B).

Step-by-step explanation:

Answer explantion

A) the ratio of the circumference of the circle to Pi: false

B) exactly 3.14 :true

C) the ratio of the diameter of a circle to Pi:false

D) the square of the circumference of a circle:false

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An honest die is rolled. If the roll comes out even (2, 4, or 6), you will win $1; if the roll comes out odd (1,3, or 5), you wi
jenyasd209 [6]

Answer:

(a) 50%

(b) 47.5%

(c) 2.5%

Step-by-step explanation:

According to the honest coin principle, if the random variable <em>X</em> denotes the number of heads in <em>n</em> tosses of an honest coin (<em>n</em> ≥ 30), then <em>X</em> has an approximately normal distribution with mean, \mu=\frac{n}{2} and standard deviation, \sigma=\frac{\sqrt{n}}{2}.

Here the number of tosses is, <em>n</em> = 2500.

Since <em>n</em> is too large, i.e. <em>n</em> = 2500 > 30, the random variable <em>X</em> follows a normal distribution.

The mean and standard deviation are:

\mu=\frac{n}{2}=\frac{2500}{2}=1250\\\\\sigma=\frac{\sqrt{n}}{2}=\frac{\sqrt{2500}}{2}=25

(a)

To not lose any money the even rolls has to be 1250 or more.

Since, <em>μ</em> = 1250 it implies that the 50th percentile is also 1250.

Thus, the probability that by the end of the evening you will not have lost any money is 50%.

(b)

If the number of "even rolls" is 1250, it implies that the percentile of 1250 is 50th.

Then for number of "even rolls" as 1300,

1300 = 1250 + 2 × 25

        = μ + 2σ

Then P (μ + 2σ) for a normally distributed data is 0.975.

⇒ 1300 is at the 97.5th percentile.

Then the area between 1250 and 1300 is:

Area = 97.5% - 50%

        = 47.5%

Thus, the probability that the number of "even rolls" will fall between 1250 and 1300 is 47.5%.

(c)

To win $100 or more the number of even rolls has to at least 1300.

From part (b) we now 1300 is the 97.5th percentile.

Then the probability that you will win $100 or more is:

P (Win $100 or more) = 100% - 97.5%

                                   = 2.5%.

Thus, the probability that you will win $100 or more is 2.5%.

7 0
3 years ago
An atom of silicon is approximately 0.00000000025 meters wide. How do you express that number in scientific notation? O 25 10-10
garik1379 [7]

Answer:

mohydty868788

Step-by-step explanation:

8 0
3 years ago
Factor –3y – 18 and choose the correct option.
den301095 [7]
<h3>Factor –3y – 18 is:  -3(y + 6)</h3>

<em><u>Solution:</u></em>

Given that we have to factor -3y - 18

Use the distributive property,

a(b + c) = ab + bc

From given,

-3y - 18

Factor out the greatest common factor of 3 and 18

The factors of 3 are: 1, 3

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 3

Factot out 3 from given expression

-3y - 18 = 3( - y - 6)

Or else we can rewrite as,

-3y - 18 = -3(y + 6)

Thus the given expression is factored

5 0
3 years ago
What’s the answer ??
CaHeK987 [17]

Answer:

The answer is A.

Step-by-step explanation:


5 0
3 years ago
Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily ex
Anastasy [175]

Answer:

17

Step-by-step explanation:

i multiplied 17 by 20 and that gave me 340 which is greater than 300

4 0
3 years ago
Read 2 more answers
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