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algol [13]
3 years ago
11

Add this problem 0645 + 0745

Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0

Answer:1,390

Step-by-step explanation: add the top and bottom

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Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.
jeka94

Answer:

x=4+2\sqrt{3}

x=4-2\sqrt{3}

Step-by-step explanation:

<u>Completing the square</u>

when  ax^2+bx+c=0

Given equation:

3x^2-24x+40=28

Subtract 40 from both sides:

\implies 3x^2-24x=-12

Divide both sides by 3:

\implies x^2-8x=-4

Add the square of half the coefficient of x to both sides:

(\frac{b}{2})^2=(\frac{-8}{2})^2=16

\implies x^2-8x+16=-4+16

Factor the left side and simplify the right side:

\implies (x-4)^2=12

Square root both sides:

\implies x-4=\pm\sqrt{12}

Add 4 to both sides and simplify the radical:

\implies x=4\pm\sqrt{4 \cdot 3}

\implies x=4\pm\sqrt{4}\sqrt{3}

\implies x=4\pm2\sqrt{3}

5 0
1 year ago
Simplify. 1/4 (-12+4/3)
matrenka [14]
Add what's in the parentheses first:  -12 + 4/3 = -10 2/3

Then multiply -10 2/3 by 1/4:  1/4 x -10 2/3 = - 2 2/3

So your answer is -2 2/3.

Hope this helps! :D

~PutarPotato
3 0
3 years ago
How is arc length calculated? What measurement needs to be used for the angle for the arc length formula? Provide an example.
eimsori [14]

Answer:

i honestly don't know

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is 1788.10643 rounded to the nearest hundredth??
wariber [46]
1788.11. Because the 0 will go to 1 because of the 6
3 0
3 years ago
A manufacturer knows that on average 20% of the electric toasters produced require repairs within 1 year after they are sold. Wh
Effectus [21]

Answer:

(a) The value of <em>x</em> is 5.

(b) The value of <em>y</em> is 15.

Step-by-step explanation:

Let the random variable <em>X</em> represent the number of electric toasters produced that require repairs within 1 year.

And the let the random variable <em>Y</em> represent the number of electric toasters produced that does not require repairs within 1 year.

The probability of the random variables are:

P (X) = 0.20

P (Y) = 1 - P (X) = 1 - 0.20 = 0.80

The event that a randomly selected electric toaster requires repair is independent of the other electric toasters.

A random sample of <em>n</em> = 20 toasters are selected.

The random variable <em>X</em> and <em>Y</em> thus, follows binomial distribution.

The probability mass function of <em>X</em> and <em>Y</em> are:

P(X=x)={20\choose x}(0.20)^{x}(1-0.20)^{20-x}

P(Y=y)={20\choose y}(0.20)^{20-y}(1-0.20)^{y}

(a)

Compute the value of <em>x</em> such that P (X ≥ x) < 0.50:

P (X \geq x) < 0.50\\\\1-P(X\leq x-1)

Use the Binomial table for <em>n</em> = 20 and <em>p</em> = 0.20.

0.411=\sum\limits^{3}_{x=0}[b(x,20,0.20)]

The least value of <em>x</em> that satisfies the inequality P (X ≥ x) < 0.50 is:

<em>x</em> - 1 = 4

<em>x</em> = 5

Thus, the value of <em>x</em> is 5.

(b)

Compute the value of <em>y</em> such that P (Y ≥ y) > 0.80:

P (Y \geq y) >0.80\\\\P(Y\leq 20-y)>0.80\\\\P(Y\leq 20-y)>0.80\\\\\sum\limits^{20-y}_{y=0}[{20\choose y}(0.20)^{20-y}(1-0.20)^{y}]>0.80

Use the Binomial table for <em>n</em> = 20 and <em>p</em> = 0.20.

0.630=\sum\limits^{4}_{y=0}[b(y,20,0.20)]

The least value of <em>y</em> that satisfies the inequality P (Y ≥ y) > 0.80 is:

20 <em>- y</em> = 5

<em>y</em> = 15

Thus, the value of <em>y</em> is 15.

3 0
3 years ago
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