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How do you find the radius of a circle with a circumference of 12pi

sergejj [24]

Answer:

6

Step-by-step explanation:

The circumference of a circle is $2\pir$ $\pi r$ , so $12\pi=2\pi r\\12=2r\\r=6$ . We can use this because the area of a circle is $\pi r^2$ . Thus, $\pi*6^2=36\pi$ .

4 0

3 years ago

The owner of the Koffee Shop pours the remainder of her old house blend, which is 40 % 40 % Colombian beans, into a 60 60 -pound

maks197457 [2]

Answer:

0.4h ; 60 - h ;18 - 0.3h ; 0.1h + 18

Step-by-step explanation:

Given that:

Old house blend = 40% Columbian beans

New house blend = 30% Columbian beans

h = number of pounds of old house blend

a.) pound of columbian bean in old house blend :

40% of h = 0.4h

b.) pound of new blend poured into the bean:

Size of bin = 60 pound

Size of bin - pound of old house blend

(60 - h)

c. Amount of columbian bean in pound of new house blend :

30% of (60 - h)

0.3 * (60 - h)

18 - 0.3h

D.) Amount of columbian bean in 60 pound bin

(Pound of columbian bean in old house blend + pound of Columbian bean in New house blend)

0.4h + (18 - 0.3h)

0.4h + 18 - 0.3h

0.1h + 18

4 0

3 years ago

The difference between a number divided by 3 and 4 is 20.

Alexxandr [17]

Let, the number be "a"

Now, according to the question,
$\frac{a}{3} - 4=20$

$\frac{a-12}{3} =20$

$a-12 =20*3$

$a-12=60$

$a = 60 + 12$

$a = 72$

So, the number is 72

7 0

3 years ago

Read 2 more answers

In the story Charlotte's Web, How does the goose react to her big news?

Sladkaya [172]

I believe the answer is choice A. She threatens the rat

7 0

3 years ago

A factory produces plate glass with a mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 100 s

rosijanka [135]

Answer:

$P(\bar X$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

$X \sim N(4,1.1)$