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3 years ago

40:14

Mathematics

1 answer:

Rashid [163]3 years ago

7 0

Answer:

x LE 6.3.

Step-by-step explanation:

For an obtuse triangle

c^2 > a^2 + b^2 where c is the longest side. So:

20^2 > x^2 + (3x)^2

400 > 10x^2

x^2 < 40

x < 6.324

x < 6.3.

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What is x squared equals 9 over 256

Lady bird [3.3K]

Answer:

9^2/256

Exact form is 81/256

Decimal form is 0.31640625

Step-by-step explanation:

Raise 9 to the power of 2.

81/256

The result can be shown in multiple forms.

Exact Form:

81/256

Decimal Form:

0.31640625

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3 years ago

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ryzh [129]

Step-by-step explanation:

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3 years ago

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3 years ago

The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 4 of the 50 re

Mariana [72]

Answer:

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

Step-by-step explanation:

Sets are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Lots of 50 means that $N = 50$

5 are defective, which means that $k = 5$

4 are selected, which means that $n = 4$

Find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

This is $P(X = 2)$ . So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,50,4,5) = \frac{C_{5,2}*C_{45,2}}{C_{50,4}} = 0.0430$

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

4 0

3 years ago

the area of a rectangular decks is 680 square feet. the decks width is 17 feet. what is its perimeter ?

Ket [755]

The perimeter is 114 square feet. To solve this, first you divide 680 by 17, which equals 40. So the length is 40. The formula for perimeter is 2L+2W. This means you take the length and multiply it by 2, and do the same for the width, then add them together. So the equation would be:
2(40)+2(17)=Perimeter
80+34=Perimeter
The final answer is 114 square feet.

4 0

3 years ago