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2 years ago

Please help! Giving points :)!

Mathematics

1 answer:

velikii [3]2 years ago

6 0

Answer:

Step-by-step explanation:

3/5 + 1/4 = 0.85

0.85 as a fraction is 17/20

So the answer is C

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2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi

Oksana_A [137]

Answer:

(a) $E(X) = 950$

(b) $COV = 0.007255$

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

$E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950$

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$COV = \frac{\sigma}{E(X)}$

Where the standard deviation is given by

$\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892$

So the coefficient of variance is

$COV = \frac{6.892}{950}$

$COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

$P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\$

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

$P(X > 980) = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980) = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980) = 1 - P(Z < 4.28)\\\\$

The z-score corresponding to 4.28 is 0.99999

$P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\$

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0

3 years ago

. Simplify the expression: 4<br> 2 + 8 ÷ 2.

zhannawk [14.2K]

Answer:

42+4

Step-by-step explanation:

7 0

2 years ago

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Y= -3x with steps please. It’s asking weather it’s a linear equation or not.

tankabanditka [31]

This is a linear equation. since there is no exponent on the x, x is just to the power of 1. anything to the power of 1 is considered a linear equation. you could also do the vertical line test and find that when you plug any number in for x, none of the final answers will repeat each other. i hope this makes sense and that this helps!!

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2 years ago

I will mark you brainiest if you can answer this

MrRissso [65]

B is the correct answer because the bottom should be 8^0 which equals 1

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2 years ago

I am so bored and need some people to talk to just shot me an email

miskamm [114]

Where r u from?
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2 years ago

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