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nika2105 [10]
3 years ago
9

Three less than four times a number is 5

Mathematics
1 answer:
Margarita [4]3 years ago
5 0

Answer: 2

Step-by-step explanation:

5+3=8

8/4=2

‍♂️ I’m not the best at explaining

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The sum of interior angles of a polygon measures 11,520. How many sides does the polygon have?
Digiron [165]
The sum of angles in a regular n sided polygon:

(n - 2)*180

(n - 2)*180 = 11520

(n - 2) = 11520/180

(n - 2) = 64

n - 2 = 64

n = 64 + 2

n = 66

Polygon has 66 sides.
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3 years ago
What are the coordinates of P
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3 years ago
(1 point) 6 cards are drawn at random without replacement from a standard deck. Be accurate to 7 decimal places. a) Find the pro
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Answer:

a) P=0.0000843

b) P=0.0000454

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Step-by-step explanation:

6 cards are drawn at random without replacement from a standard deck.

a) We calculate the probability that all the cards are hearts.

We calculatethe number of possible combinations:

C^{52}_6=\frac{52!}{6!(52-6)!}=20358520

We calculate the number of favorable combinations:

C_6^{13}=\frac{13!}{6!(13-6)!}=1716

Therefore, the probability is

P=\frac{1716}{20358520}\\\\P=0.0000843

b) We calculate the probability that all the cards are face cards.

We calculatethe number of possible combinations:

C^{52}_6=\frac{52!}{6!(52-6)!}=20358520

We calculate the number of favorable combinations:

C_6^{12}=\frac{12!}{6!(12-6)!}=924

Therefore, the probability is

P=\frac{924}{20358520}\\\\P=0.0000454

c) We calculate the probability that all the cards are even.

We calculatethe number of possible combinations:

C^{52}_6=\frac{52!}{6!(52-6)!}=20358520

We calculate the number of favorable combinations:

C_6^{24}=\frac{24!}{6!(24-6)!}=134596

Therefore, the probability is

P=\frac{134596}{20358520}\\\\P=0.0066113

7 0
3 years ago
What is the efficiency of a machine that produces 4500 joules of output work for every 4250 joules of input work? (remember to p
rewona [7]

Answer:

105.88%

Step-by-step explanation:

Efficiency:

Output/input × 100

4500/4250 × 100

105.8823529%

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3 years ago
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