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2 years ago

9

im giving extra points, can someone please tell me if this is right or not? im not sure if it is because i dont fully understand

how to do this stuff.

1 answer:

MissTica2 years ago

8 0

Answer:

ok, so this is what i got, i am personally confused...

(you can delete this after you see this, its not much of a help..)

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For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)

Lorico [155]

The value of (f - g)(x) is -x² + 3x + 7.

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

f(x) = 3x + 1

g(x) = x² - 6

Now,

(f - g)(x) = f(x) - g(x)

= (3x + 1) - (x² - 6)

= 3x + 1 - x² + 6

(f - g)(x) = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

Learn more about Function from:

brainly.com/question/12431044

#SPJ1

8 0

2 years ago

Read 2 more answers

Humma has 3 apples. She slices each apple into eighths. How many 1/4 apple slices does she have?

nlexa [21]

8 1/4 appe slices is the answer

3 0

3 years ago

The students in Brenna's grade voted to select a guest speaker. 15 students voted for a

DochEvi [55]

Answer:

25% of students voted for the athlete

Step-by-step explanation:

First you need to know how many students are in total. In this case there is 60, 15+45

Then you write it as a fraction

$\frac{15}{60}$

because 15 voted for athlete out of the 60 students.

After this you need to divide 15÷60 which is . 25 then you transform that number into a percent which is 25%

5 0

3 years ago

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

Drupady [299]

The unit rate is $1.25 per pound

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3 years ago

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month. Assume

Ira Lisetskai [31]

Answer:

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month.

This means that $\mu = 22$

Standard deviation is 4:

This means that $\sigma = 4$

Sample of 36:

This means that $n = 36, s = \frac{4}{sqrt{36}}$

What is the probability that the sample mean is between 21 and 22?

This is the p-value of Z when X = 22 subtracted by the p-value of Z when X = 21.

X = 22

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{22 - 22}{\frac{4}{sqrt{36}}}$

$Z = 0$

$Z = 0$ has a p-value of 0.5.

X = 21

$Z = \frac{X - \mu}{s}$

$Z = \frac{21 - 22}{\frac{4}{sqrt{36}}}$

$Z = -1.5$

$Z = -1.5$ has a p-value of 0.0668.

0.5 - 0.0668 = 0.4332

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

4 0

3 years ago