Math Answers

A website has on the average two hits per hour. Assuming a Poisson distribution for the number of hits per hour (X), calculate the probability that there are at most three hits.

Trish Hardison deposited $18,680 in a 4-year account paying 4% interest. The bank where she put the money pays a passbook rate of 3.5% compounded daily. She withdrew $2000 after 15 months. Find the interest that she earned on the $2000.

Evaluate #2 and #3 in light of #1 being true.

1.It's been reported that the mean height for an American female is 64 inches with a standard deviation of 3 inches.
2. Since the mean height equals the median height and the interquartile range = 1.3 standard deviations, we can safely assume the data normally distributed.
3. Therefore, the percentage of women greater than 72 inches would be less than ½%.

(1) Simplify the square root: √49 *
Lesson 1
-7
7 <---- ?
49

(2) Classify the following: Pi (3.1415...) *
Lesson 1
Rational
Irrational <---?

(3) Solve for g: 3g + 4 = 19 *
Lesson 2
g = 5
g = 15
g = 45

(4) Solve for x: 9x - 2x = 28 *
Lesson 3
x = 28/11
x = 7
x = 4

(5) Solve for p: .4p - 6 = 32 *
Lesson 4
p = 2.4
p = 38
p = 95

(6) Write an equation to represent the following: Steve rented a car for $12.00 per day plus $.25 per mile driven. His total bill was $51.00. *
Lesson 5 - (2 points)

(7) Solve for y: 7y – 13 = 6y + 3 *
Lesson 6
y = 1
y = 16
y = 10

(8) Solve for k: -2k + 2 < 14 *
Lesson 7 - (2 points)

An electronics company produces​ transistors, resistors, and computer chips. Each transistor requires 3 units of​ copper, 1 unit of​ zinc, and 2 units of glass. Each resistor requires 3​, 2​, and 1 units of the three​ materials, and each computer chip requires 2​, 1​, and 2 units of these​ materials, respectively. How many of each product can be made with 1570 units of​ copper, 740 units of​ zinc, and 880 units of​ glass? Solve this exercise by using the inverse of the coefficient matrix to solve a system of equations.

a) An 18 year bond with 6% coupon and a par value of ksh 1000 paying interest semiannually is selling for ksh 700.89. Calculate the yield on the bond.

If f(x,y)= (x^1/4+y^1/4)/(x^1/5+y^1/5),then show that x×∂f/∂x+y×∂f/∂y=1/20×f(x,y)stating the results used.

When a newspaper or magazine article reports the results of a study and draws a conclusion without also reporting whether the results are statistically significant, what are the possible reasons for doing so? How seriously should you take the conclusion offered in such a study? Discuss.

A manufacturer of automobile seats has a production line that produces an average of
100 seats per day. Because of new government regulations, a new safety device has
been installed, which the manufacturer believes will reduce average daily output. A
random sample of 15 days output after the installation of the safety device is shown:
93, 103, 95, 101, 91, 105, 96, 94, 101, 88, 98, 94, 101, 92, 95 .
Assuming that the daily output is normally distributed, is there sufficient evidence to
conclude that average daily output has decreased following the installation of the
safety device? (Use α = 0.05 )