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3 years ago

2.Differentiate the following functions:Not sure how to do qn d

Mathematics

1 answer:

alekssr [168]3 years ago

3 0

Answer:

$4.8t^3-10.4t$

Step-by-step explanation:

Well when you differentiate you use the exponent rule

let's say you have

$f(x)=x^{n}\\ f'(x)=nx^{n-1}$

so we can use it separately

$p=1.2t^4-5.2t^2\\p'=4(1.2)t^3-2(5.2)t\\p'=4.8t^3-10.4t$

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The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What

atroni [7]

Answer:

21.77% probability that a randomly selected teacher earns more than $525 a week

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 490, \sigma = 45$

What is the probability that a randomly selected teacher earns more than $525 a week?

This is 1 subtracted by the pvalue of Z when X = 525. So

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

$Z = \frac{525 - 490}{45}$

$Z = 0.78$

$Z = 0.78$ has a pvalue of 0.7823

1 - 0.7823 = 0.2177

21.77% probability that a randomly selected teacher earns more than $525 a week

5 0

4 years ago

Which of the following is a solution to the following system of inequalities?

iren2701 [21]

Option D: $(0,3)$ is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $$y$

Thus, we have,

Option A: $(1,-1)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies-1>0$ is not true.

$$y\leq 2 x+3 \implies -1\leq 5$ is true.

Since, only one equation satisfies the condition, the coordinate $(1,-1)$ is not a solution.

Hence, Option A is not the correct answer.

Option B: $(-4,0)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies0>5$ is not true.

$$y\leq 2 x+3 \implies 0\leq -5$ is not true.

Since, both the equations does not satisfy the condition, the coordinate $(-4,0)$ is not a solution.

Hence, Option B is not the correct answer.

Option C: $(3,-2)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies-2>-2$ is not true.

$$y\leq 2 x+3 \implies -2\leq 9$ is true.

Since, only one equation satisfies the condition, the coordinate $(3,-2)$ is not a solution.

Hence, Option C is not the correct answer.

Option D: $(0,3)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies3>1$ is true.

$$y\leq 2 x+3 \implies 3\leq 3$ is true.

Since, both equation satisfies the condition, the coordinate $(0,3)$ is a solution.

Hence, Option D is the correct answer.

4 0

3 years ago

An airplane is flying at 455 miles per hour. What is its speed in kilometers per minute?

MArishka [77]

Answer:

Step-by-step explanation:

6 0

3 years ago

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Let's say you have this data: 25, 26, 24, 26, 25, 7, 8, 8, 15, 10, 25, 24, 26 What should your bin size be if you want to have 1

Arte-miy333 [17]

Your bin size should be 2

8 0

3 years ago

PLZZZ NEED HELP!!!!!!

shtirl [24]

B is the correct answer

5 0

3 years ago

Read 2 more answers

2.Differentiate the following functions:Not sure how to do qn d​

2.Differentiate the following functions:Not sure how to do qn d