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Taya2010 [7]
3 years ago
5

Find the circumference of the circle.

Mathematics
2 answers:
Elza [17]3 years ago
7 0

Answer:

72 .22 inches is the answer bro

notsponge [240]3 years ago
4 0

Answer:

72.22 inches

Step-by-step explanation:

Formula for circumference given diameter is:

c = πd

If you use 3.14 for pi, you get 72.22 inches:

c = 3.14(23)

c = 72.22

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70% of the students applying to a university are accepted. Assume the requirements for a binomial experiment are satisfied for 1
marshall27 [118]

Answer:

a) 0.3826

b) 0.9894

Step-by-step explanation:

We are given the following information:

We treat students accepted at university as a success.

P(students accepted at university) = 70% = 0.70

Then the number of students accepted at university follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

a) P( 8 or more will be accepted)

P(x \geq 8) = P(x = 8) + P(x = 9) + P(X=10)\\\\= \binom{10}{8}(0.7)^8(1-0.7)^2 +  \binom{10}{9}(0.7)^9(1-0.7)^1+ \binom{10}{10}(0.7)^{10}(1-0.7)^0\\\\= 0.2334 + 0.1210 + 0.0282\\= 0.3826

b) P(4 or more will be accepted)

P(x \geq 4) =1 - P(x = 0) - P(x = 1) - P(X=2)-P(x=3)\\\\=1 - ( \binom{10}{0}(0.7)^0(1-0.7)^{10} +  \binom{10}{1}(0.7)^1(1-0.7)^9+ \binom{10}{2}(0.7)^{2}(1-0.7)^8+ \binom{10}{3}(0.7)^{3}(1-0.7)^7 )\\\\= 1 - 0.0106\\= 0.9894

6 0
3 years ago
8 3/4 as a mixed number
Lelechka [254]

Answer:

35/4

Step-by-step explanation:

8 times the denominater which is 4 is 32. 32 plus the nomiater is 35. So its 35/4

5 0
3 years ago
What is the value of x in the equation 5(2x - 7) = 15x -10
ASHA 777 [7]
10x - 35 = 15x - 10
-35 = 5x -10
-25 = 5x
-5 = x
The value of x is -5.
3 0
4 years ago
A = {1, 2, 5, 7}<br> B = {3, 4, 6, 7}<br> C = {0, 5, 8, 9}<br> Find A U B U C.
castortr0y [4]

Answer:  In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Step-by-step explanation:

A = {1, 2, 5, 7}

B = {3, 4, 6, 7}

C = {0, 5, 8, 9}

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

6 0
3 years ago
Samantha needs 4/5 yard of fabric to make costumes for the school play. Write and solve and equation to find how many costumes s
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Samantha needs 4/5 yard of fabric to make costumes for the school play.

Let x represent the number of yards of fabric that she has

Let y represent the total number of costumes that she can make from x yards of fabric.

Since one costume require 4/5 yards of fabric, y costumes will require

x ÷ 4/5 = x×5/4 = 5x/4

The equation will be

y = 5x/4

to find how many costumes she can make with 8 yards of fabric, it becomes

y = (5×8)/4

y = 40/4 = 10

5 0
3 years ago
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