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maksim [4K]
3 years ago
12

What is the radius and diameter of the following circle?​

Mathematics
2 answers:
icang [17]3 years ago
4 0

Answer:

r = 4.2 cm; d = 8.4 cm

Step-by-step explanation:

The radius is the distance from the centre of the circle to the circumference.

r = 4.2 cm

The diameter is the length of a straight line that passes through the centre with each end at the circumference.

d = 2r = 2 × 4.2 cm = 8.4 cm

Morgarella [4.7K]3 years ago
3 0

Answer:

radius=4.2

diameter=8.4

Step-by-step explanation:

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Orange M&M’s: The M&M’s web site says that 20% of milk chocolate M&M’s are orange. Let’s assume this is true and set
SOVA2 [1]

Answer:

The correct option is (A).

Step-by-step explanation:

Let <em>X</em> = number of orange  milk chocolate M&M’s.

The proportion of orange milk chocolate M&M’s is, <em>p</em> = 0.20.

The number of candies in a small bag of milk chocolate M&M’s is, <em>n</em> = 55.

The event of an milk chocolate M&M being orange is independent of the other candies.

The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 55 and <em>p</em> = 0.20.

The expected value of a Binomial random variable is:

E(X)=np

Compute the expected number of orange  milk chocolate M&M’s in a bag of 55 candies as follows:

E(X)=np

         =55\times 0.20\\=11

It is provided that in a randomly selected bag of milk chocolate M&M's there were 14 orange ones, i.e. the proportion of orange milk chocolate M&M's in a random bag was 25.5%.

This proportion is not surprising.

This is because the average number of orange milk chocolate M&M’s in a bag of 55 candies is expected to be 11. So, if a bag has 14 orange milk chocolate M&M’s it is not unusual at all.

All unusual events have a very low probability, i.e. less than 0.05.

Compute the probability of P (X ≥ 14) as follows:

P(X\geq 14)=\sum\limits^{55}_{x=14}{{55\choose x}0.20^{x}(1-0.20)^{55-x}}

                 =0.1968

The probability of having 14 or more orange candies in a bag of milk chocolate M&M’s is 0.1968.

This probability is quite larger than 0.05.

Thus, the correct option is (A).

4 0
3 years ago
Tan∅= 0 <br> How do you find the values of ∅?
olga55 [171]
<span>you have to take arctan(0) to find the value of theta.

tan^-1 (x)=theta </span>
3 0
3 years ago
Evaluate (3)^1/6 × (3)^-2/3
Elan Coil [88]
39918656718818881883
7 0
1 year ago
Read 2 more answers
Based on the work shown on the right, check all
STALIN [3.7K]

Answer:

Solution is x = 8.

Step-by-step explanation:

2 is not a solution as √2*2 - 2 is not equal to -4.

6 0
2 years ago
Instructions: Find the measure of the indicated angle to the<br> nearest degree
Artemon [7]

Answer:

? = 57

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj/ hyp

cos ? = 14/26

Taking the inverse cos of each side

cos ^-1 ( cos ?) = cos ^-1 ( 14/26)

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To the nearest degree

? = 57

5 0
2 years ago
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