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Elena-2011 [213]
2 years ago
7

If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).​

Mathematics
1 answer:
kramer2 years ago
8 0

Answer:

  • \boxed{ f\cdot{g}(x) = x {}^{3}  - x {}^{2}}

Step by step explanation:

Given that,

f(x) =  {x}^{2}

g(x) = x - 1

Solution:

Solving for (f•g)(x):

= f(x) \cdot g(x)

Now substitute the given values.

= x {}^{2}  \cdot(x - 1)

= x {}^{2} (x - 1)

Apply distributive property:

= (x ^{2}  \cdot x) - x {}^{2}  \cdot 1

  • \boxed{ f\cdot{g}(x) =  x {}^{3}  - x {}^{2}}

Hence,f•g(x) will be x {}^{3}  - x {}^{2}.

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MArishka [77]

Using the Central Limit Theorem, it is found that:

  • The mean is 0.23.
  • The standard deviation is s = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}.

<h3>Central Limit Theorem</h3>
  • It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}
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In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:

p_1 = 0.95, s_1 = \sqrt{\frac{0.95(0.05)}{250}}

In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:

p_2 = 0.72, s_2 = \sqrt{\frac{0.72(0.28)}{250}}

Hence, for the distribution of differences:

p = p_1 - p_2 = 0.95 - 0.72 = 0.23

s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}

To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444

7 0
2 years ago
L'Shonda purchased a container of juice
cupoosta [38]

L'Shonda purchased a container of juice. 80 calories are from carbohydrates.

<u>Solution:</u>

Given that, LShonda purchased a container of juice that contains 200 calories.  

The label says that 40% of the calories are from carbohydrates.  

We have to find how many calories are from carbohydrates?

Now, according to the given information,

<em>Number of calories from carbohydrates = 40% of the total calories of the juice </em>

Then, calories from carbohydrates = 40% of 200 calories

40% can be written in fraction as \frac{40}{100}

\text { Calories from carbohydrates }=\frac{40}{100} \times 200=40 \times 2=80 \text { calories }

Hence, 80 calories are from carbohydrates.

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3 years ago
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xeze [42]

Answer:

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