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Arturiano [62]
3 years ago
6

Solve 5y^2+20=80, where y is the real number

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

2√3

Step-by-step explanation:

5y2+20=80

Step 1: Subtract 20 from both sides.

5y^2+20−20=80−20

5y^2=60

Step 2: Divide both sides by 5.

5y^2 /5 = 60/5

y2=12

Step 3: Take square root.

y=√12

y=2√3

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Make them both equal to y

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2y=x+6 y=1/2x+3

These are perpendicular since ones slope is -2 and the other is the opposite, 1/2.
7 0
3 years ago
The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective c
Pepsi [2]

Answer:

Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

Step-by-step explanation:

For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

In this problem

Of the 20 copies, 2 are defective, so p = \frac{2}{20} = 0.1.

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when n = 10.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.3487

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

8 0
3 years ago
How to find the area of the shaded region
Andreas93 [3]
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A=2⌠x^(1/2) dx

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A=(4/3)(8-1)

A=(4/3)7

A=28/3  u^2

A=9 1/3 u^2
7 0
3 years ago
Need help with this question
Sliva [168]

Answer:

EF= 24

Step-by-step explanation:

\sqrt{26^{2} - 10^{2} = 24

7 0
3 years ago
You have $4150.in a cookie jar. Each month you spend half of the balance. How much do you have after 4 months? (Round your answe
trasher [3.6K]

Answer:

$259.4

Step-by-step explanation:

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$2075/2

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round to nearest cent = $259.4

8 0
3 years ago
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