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3 years ago

!!!!!!!!!I AM CRYINGGGG!!!!!! PLZZZZ

Mathematics

1 answer:

andrey2020 [161]3 years ago

6 0

Answer:

-x^2-2x-3

Step-by-step explanation:

Question 1: Just substitute in the values of f(x) and g(x) and simplify!

f(x) - g(x) = 4x^2-5x+3-(5x^2-3x+6)
f(x)-g(x) = 4x^2-5x+3-5x^2+3x-6
f(x)-g(x) = -x^2-2x-3

Tell me if this helps, and if you still need number 2 or if you can do it by yourself! (Hint: substituting also plays a role in question number 2.)

Hope this helps!!

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The first answer is factual, but please help.

DIA [1.3K]

Answer:

B) 2

C) y = 2x

Step-by-step explanation:

Part B

Constant is 2 because in order to get x to the value of y, you must multiply by 2.

Part C

y = 2x

3 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

3 years ago

Find the area of the composite figure and round the nearest tenth

Monica [59]

Answer:

The area of the composite figure is 1360 ft.

Step-by-step explanation:

First, you should split up the composite figure into separate shapes.

So to find area of the triangle all the way on the left, you multiply base x height then divide by 2.

30 x 34 = 1020 ÷ 2 = 520.

Then, moving on to next shape, we can break up the trapezoid into a rectangle and a triangle.

To find area of the rectangle you multiply length x width.

16 x 30 = 480.

Finally, we have the last triangle right above the rectangle. Keep in mind that the rectangle does not have a length of 40!

You have to subtract 40 - 16 which equals 24.

30 x 24 = 720 ÷ 2 = 360.

Now that we have all 3 numbers, we simply add them all together and you will get an answer of 1360 ft.

Remember to label your answer!

5 0

3 years ago

Read 2 more answers

The exponential function f takes the value 10 when x=1 and 30 when x=2

BaLLatris [955]

Answer: x=2

Step-by-step explanation: f(x) = x + 8

f(x) = 10

10 = x + 8

minus 8 from the both sides

10 - 8 = x

2 = x

x = 2

8 0

3 years ago

Select all points that are on the graph of f if we know that

UkoKoshka [18]

Could you attach an illustration? I apologise.

8 0

3 years ago