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emmasim [6.3K]
1 year ago
12

Differentiate with respect to x (6-2x)^3​

Mathematics
2 answers:
olga55 [171]1 year ago
6 0
-6(6-2x)^2 by chain rule
OLEGan [10]1 year ago
6 0

Answer:

- 6(6 - 2x)²

Step-by-step explanation:

using the chain rule

\frac{dy}{dx} = \frac{dy}{du} × \frac{du}{dx}

let y = (6 - 2x)³

let u = 6 - 2x , then y = u³

\frac{du}{dx} = - 2 and \frac{dy}{du} = 3u²

then

\frac{dy}{dx} = 3u² × - 2 = - 6(6 - 2x)²

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According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o
igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

               \frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } ~ N(0,1)

where, p = 0.20 and n = 100

Let \hat p = proportion of red candies in our sample

So, P(\hat p < 0.20) = P(\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } < \frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } } ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

5 0
3 years ago
Help me pleas. And no bots. :)
andreev551 [17]

Answer:

1st is B

2nd is A

3rd is D

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4 0
2 years ago
Read 2 more answers
Which is greater 12 cups or 3 quarts
Zielflug [23.3K]

Neither is greater.

1 quart = 4 cups
2 quarts = 8 cups
3 quarts = 12 cups

So they're equal.


4 0
3 years ago
What is the surface area of the ice cream
galina1969 [7]

Answer:

13194.7\ mm^2

Step-by-step explanation:

The total surface area of a cone is given by:

Surface area = \pi r(r+\sqrt{h^2+r^2} )

where r is the radius of the cone, h is the height of the cone, l is the length of the cone = \sqrt{h^2+r^2}

Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:

Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2

3 0
3 years ago
I neeeeeeed Help please!
pochemuha

Answer:

i ask your teacher

Step-by-step explanation:

ask your teacher instead of asking for answers

4 0
3 years ago
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