Math Answers

2x^ 3 y^ prime =y(y^ 2 +3x^ 2 )

A certain type of storage battery lasts, on average, 3.2 years with a standard deviation of 0.44 year. Assuming that battery life is normally distributed, find the probability that a given battery will last less than 2.5 years.

The sale of the shoe brand has risen exponentially. One particular shoe store has been experiencing a shape increase in sales and has just hired a graduate, Mr. Perry as Manager. The demand for the brand shoes is 150 boxes per month. Each box cost $ 12,000. The annual holding cost rate is 13%. The particular shoe store ordering cost is $4,300 and the store and warehouse are opened 312 days per year. The lead time for each order is a long 20 days since the shoes are coming all the way from England.

1. How many boxes of shoes do you recommend that Mr. Perry orders every time he places an order?
2. Determine the estimated holding cost; and ordering cost.
3. Would it be true to say it takes Mr. Perry almost 55 days between orders? (Justify your answer.)
4. How many orders will Mr. Perry have placed each year?
5. Determine the reorder point.
6. What can Mr. Perry expect his Total Annual cost to be?

A U.S. Travel Data Center survey conducted for Better Homes and Gardens of 1500 adults found that 39% said that they would take more vacations this year than last year. Find the 95% confidence interval for the true proportion of adults who said that they will travel more this year.

The following table presents the heights (in inches) of a sample of college basketball players.

Height(in) Frequency

68-71 11

72-75 56

76-79 54

80-83 40

84-87 13

Considering the data to be a population. Please find each of these measures of central tendency and measure of variation:

i. Mean

ii. Median

iii. Mode

iv. Midrange

v. Range

vi. Variance

vii. Standard deviation

viii. Range Rule of Thumb

ix. Chebyshev’s Theorem

The following table presents the heights (in inches) of a sample of college basketball players.

Height(in) Frequency

68-71 11

72-75 56

76-79 54

80-83 40

84-87 13

Considering the data to be a population. Please find each of these measures of central tendency and measure of variation:

i. Mean

ii. Median

iii. Mode

iv. Midrange

v. Range

vi. Variance

vii. Standard deviation

viii. Range Rule of Thumb

ix. Chebyshev’s Theorem

I. Solve polynomial equation using formula method

3x² +9x + 7=0

Ii. Solve polynomial equation using factorization method

X³+2x² ‐ 9x -18=0

I. Change the following point from polar to rectangular coordinate.

(3/2, n/12)

II. Evaluate f²(3ײ- 6x ‐2)dx

Find partial z partial x and partial z partial y for

z ^ 4 - y ^ 2 + x ^ 2 = 6x ^ 2 * y ^ 3 * z ^ 7 .

Given that A= 3 ‐1 2 and B= 4 [‐1 2]

[5 1 7] 5 1 3

I. Evaluate 3A and 2B

ii. 3A‐2B

Given that C= 1 6

[3 9]

4 -3 Evaluate CB