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White raven [17]
3 years ago
13

Want to know what differenciation and Calculus is all about?

Mathematics
1 answer:
Alla [95]3 years ago
6 0
Differentiation is part of calculus
differentiation basically allows you to find the gradient of tangent
You might be interested in
A study was conducted to estimate the difference in the mean salaries of elementary school teachers from two neighboring states.
umka21 [38]

Answer:

(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70

(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698

The confidence interval would be -3301.70 \leq \mu \leq 501.698 and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

Step-by-step explanation:

We have the following info given by the problem

\bar X_1 = 28900 the sample mean for the salaries of teachers in Indiana

s_1 = 2300 the sample deviation for the salary of  teachers in Indiana

n_1 =10 the sample size from Indiana

\bar X_2 = 30300 the sample mean for the salaries of teachers in Michigan

s_2 = 2100 the sample deviation for the salary of  teachers in Michigan

n_2 =14 the sample size from Michigan

We want to find a confidence interval for the difference in the two means and the formula for this case is given by;

(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}

The degrees of freedom for this case are:

df = n_1 +n_2 -2= 10+14-2 =22

The confidence is 95%so then the significance is \alpha=0.05 and the \alpha/2 =0.025, we need to find a critical value in the t distribution with 22 degrees of freedom who accumulates 0.025 of the area on each tail and we got:

t_{\alpha/2}= 2.07

And now replacing in the formula for the confidence interval we got:

(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70

(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698

The confidence interval would be -3301.70 \leq \mu \leq 501.698 and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

6 0
3 years ago
Sales increased by only 12% last month. If the sales from the previous month were $152,850, what were last months sales
Tamiku [17]

Answer:

\$171,192

Step-by-step explanation:

Remember that

100\%+12\%=112\%=112/100=1.12

we know that

The sales from the previous month were $152,850

This amount represent the 100%

so

Find out what were last months sales, multiply the sales from the previous month by the factor 1.12

\$152,850(1.12)=\$171,192

3 0
3 years ago
A bucket contains one green block, one red block, and two yellow blocks. You choose one block from the bucket. Find the theoreti
Natali [406]

Answer:

A)1/4, 1/2 ,1/4

B)1

C)3/4

D)1

Step-by-step explanation:

THESE IS THE COMPLETE QUESTION:

A bucket contains one green block, one red block, and two yellow blocks. You choose one block from the bucket.

A)Find the theoretical probability that you will choose each color.

B)Find the sum of probability in(a)

C)What is the probability that you will not choose a red block?

D)Find the sum of the probabilities of choosing a red block and probability of not choosing a red block

EXPLANATIONS:

Sample of blocks: green,red, yellow, yellow

Total sample =4

Green sample = 1

Red sample 1

Yellow sample = 2

A)To find the theoretical probability that you will choose green.

i) P( choosing a green block)= green sample/Total sample

=1/4

To find the theoretical probability that you will choose red

ii)P(choosing a red block) = Red sample block/Total sample of blocks

= 1/2

To find the theoretical probability that you will choose yellow

iii) P(choosing a yellow block) = 1/4

B)The sum of probability in( a)

=P( choosing a green block) + P( choosing a Red block) +P( choosing a yellow block)

= 1/4 + 1/2 + 1/4

=1

C)P( Not choosing a red block) = 1 - 1/4

= 3/4

D)P(Sum of choosing a red block and not choosing a a red block)

=1/4 + 3/4

= 1

7 0
3 years ago
Did I get the right answer ?
Tems11 [23]

Answer:

si

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which of the following is equivalent to 36ab^2 - 28ab when it is completely factored?
maria [59]

Answer:

the answer is option B because it has been factorized completely

8 0
3 years ago
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