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2 years ago

Please help me first person will get brainliest!!

Mathematics

1 answer:

olganol [36]2 years ago

8 0

Answer:

6w-60x+6

Step-by-step explanation:

6(w-10x+1)

6w+6(-10)+6*1

6w-60x+6

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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

Naoya read a book cover to cover in a single session, at a rate of 55pages per hour. After reading for 4 hours, he had 330 pages

tankabanditka [31]

If you are answering a question or about how many pages he has in his book, it is 550 pages in his book total. If it's how much longer Naoya will have to read to finish their book it is 10 hours.

3 0

3 years ago

If 8 measures 119 what is the sum 1 and 4

kompoz [17]

7l5 3l1
8l6 4l2
Parallel

8 0

3 years ago

Yochanan walked from home to the bus stop at an average speed pf 5 mph.he immediately got on his school bus and traveled at an a

Irina18 [472]

Yochanan walked 5 miles.

If you solve the equations, you will get 1 for x and 0.5 for y. You can do this will substitution or the elimination method.

If he walked for 1 hour at a speed of 5 miles per hour, then he walked for 5 miles.

5 0

3 years ago

Read 2 more answers

Rewrite the following equation in exponential form. log^5125=3

Ksivusya [100]

Answer:

125 = $5^{3}$