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myrzilka [38]
3 years ago
6

Differentiate each of the following, where

Mathematics
1 answer:
ankoles [38]3 years ago
4 0

Answer:

\frac{\textbf{dy}}{\textbf{dx}} = \textbf{10ax}+\textbf{9bx}^2

Step-by-step explanation:

Let

y= 5ax^2+3bx^3+5

Differentiating y with respect to x

\frac{dy}{dx} =5a(2x)+3b(3x^2)+0

\frac{dy}{dx}= 10ax+9bx^2    where a and b are constants

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The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation
netineya [11]

THIS IS THE COMPLETE QUESTION BELOW;

The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation of 425 dollars and an unknown population mean. A random sample of 22 sociologists is taken and gives a sample mean of 1520 dollars.

Find the margin of error for the confidence interval for the population mean with a 98% confidence level.

z0.10 z0.05 z0.025 z0.01 z0.005

1.282 1.645 1.960 2.326 2.576

You may use a calculator or the common z values above. Round the final answer to two decimal places.

Answer

Margin error =210.8

Given:

standard deviation of 425

sample mean x=1520 dollars.

random sample n= 22

From the question We need to to calculate the margin of error for the confidence interval for the population mean .

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

4 0
3 years ago
Check Which pair of angles is complementary?
sergey [27]

The third set of angles is complementary. Complementary angles are angles that add up to 90°.

56° + 34° = 90°

6 0
3 years ago
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A plant that manufactures metal plates has a quality control team to check that the plates are the right size. A rectangular pla
Kamila [148]

Answer:

Given the size of rectangular plate in advertisement = 5 cm by 3cm.

Given the condition for length should be   = 0.25 of 5 cm  

Step-by-step explanation:

Now, have to write the inequality from the given data.

Therefore,  5- 0.25 ≤ L ≤ 5+.25

4.75 ≤ L ≤ 5.25

We know that the area of a rectangle =  Length × Width.

 Width = 3

Thus, the area is 3 × L

3× (4.75) ≤ 3×L ≤3× (5.25)

14.25 ≤ 3×L ≤ 15.75

So the minimum area is 14.25 cm^2

The maximum area is 15.75 cm^2

4 0
3 years ago
100 points please helpp
Fudgin [204]

Answer:

The answer is J because the line inside the box is at 78

Step-by-step explanation:

4 0
3 years ago
A store buys an item for $50 and marks it up 100%. What is the price?
Alexxandr [17]
50 + (100% of 50) =
50 + 1(50) =
50 + 50 =
100 <===
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3 years ago
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