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kipiarov [429]
3 years ago
5

A computer company wants to determine the proportion of defective computer chips from a day's production. A

Mathematics
1 answer:
ozzi3 years ago
5 0

Answer:

0.12 ± 1.96 * √(0.12(0.88) / 100)

Step-by-step explanation:

Confidence interval :

Phat ± Zcritical * √(phat(1 -phat) / n)

Phat = 12/100 = 0.12

1 - phat = 0.88

Zcritical at 95% = 1.96

Hence, we have :

0.12 ± 1.96 * √(0.12(0.88) / 100)

0.12 ± 1.96 * 0.0324961

0.12 ± 0.0636924

Lower boundary = (0.12 - 0.0636924) = 0.0563

Upper boundary = 0.12 + 0.0636924 = 0.1837

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Expand and simplify (x + 11)(x + 11)
labwork [276]

Answer:

Expand: x² + 11x + 11x + 121

Simplify: x² + 22x + 121

Step-by-step explanation:

To expand this, you can use the FOIL technique:

First terms

Outer terms

Inner terms

Last terms

(x+11)(x+11)

F - x*x = x²

O - x*11 = 11x

I - 11*x = 11x

L - 11*11 = 121

Put these numbers together (expanded) to get:

x² + 11x + 11x + 121

Put the common terms together (simplify) to get:

x² + 22x + 121

Note:

Not sure if you need this info, but (x + 11)(x + 11) is the same as (x + 11)².

The numbers need to be in the order I put them in because you are supposed to place them in order greatest to least degree.

Hope it helps!

6 0
3 years ago
Factor out the greatest common factor 30c-45d
olga nikolaevna [1]
Simplifying
30c + -45d

Factor out the Greatest Common Factor (GCF), '15'.
15(2c + -3d)

Final result:
15(2c + -3d)
7 0
3 years ago
Read 2 more answers
Which expression is equal to 5^4⋅5^8 ? 512 54 52 5−4
KiRa [710]

Answer is 5^12 which is choice A (assuming you meant to put the ^ symbol)

The bases are the same (both are 5), so you add the exponents: 4+8 = 12. The base stays the same the entire time.

So, 5^4*5^8 = 5^(4+8) = 5^12

3 0
3 years ago
What percent of 80 is 25
JulsSmile [24]

Answer: 31.25%

Step-by-step explanation: To answer the question <em>what percent of 80 is 25</em>, we translate the question into an equation.

So we have "what percent" that's x, "of 80" means times 80, "is 25" = 25.

Now to solve for <em>x</em>, since <em>x</em> is being multiplied by 80, we need to divide by 80 on both sides of the equation. On the left side of the equation the 80's cancel and we have <em>x</em> and on the right side of the equation, we have 25 ÷ 80 which gives us 0<em>.</em>3125. Now, remember that we want to right our answer as a percent so to write 0.3125 as a percent, we move the decimal point 2 places to the right and we get 31.25%.

Therefore, 31.25% of 80 is 25.

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3 years ago
Which best defines a circle?
Paraphin [41]
I believe the correct answer is A, 

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