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3 years ago

Choose the equation that represents the graph below.

1 answer:

3 0

So the question ask to calculate and find the equation that could represent the graph that is shown in your problem. In getting the answer to this, you must use the formula of the slope intercept form and get the value of the slope. So the answer would be letter D. y=x+3.

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Please help 10pts each

cestrela7 [59]

X=2

subtract 5x on both sides
-2x=-4
divide by -1 on both sides
2x=4
divide by 2 on both sides
x= 2

6 0

2 years ago

Read 2 more answers

A domain of [-4, -2, 1

UNO [17]

what???????

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5 0

3 years ago

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

4 years ago

There is a tv that cost $500. If there was an 18% Discount, what would the sale price be on the tv?

denpristay [2]

500* 0.18=90

500-90=410

The tv would be equal to $410.

Hope this helps!

3 0

4 years ago

Read 2 more answers

If a kite is 40 feet off the ground and the string holding the kite is 42 feet long, what is the angle of elevation to the kite

belka [17]

In this case, 40ft is the vertical distance from the ground, which is the height. This means that the kite and the string form an angle with the horizontal ground. A right angled triangle is formed. Use the inverse of sine to get the angle.

3 0

3 years ago