In: Psychology
-The weight of an organ in adult males has a bell-shaped distribution with a mean of
300 grams and a standard deviation of 40 grams. Use the empirical rule to determine the following.
a. About 95% of organs will be between what weights?
b. What percentage of organs weighs between 260 grams and 340 grams?
(c) What percentage of organs weighs less than 260 grams or more than 340 grams?
(d) What percentage of organs weighs between 220 grams and 340 grams?
-Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12.
Use the empirical rule to determine the following.
(a) What percentage of people has an IQ score between 88 and 112?
(b) What percentage of people has an IQ score less than 88 or greater than 112?
(c) What percentage of people has an IQ score greater than 112
-Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 3000 grams and a standard deviation of 475 grams. If a 33-week gestation period baby weighs 3075 grams and a 41-week gestation period baby weighs 3275 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period?
-In a certain city, the average 20- to 29-year old man is 69.8 inches tall, with a standard deviation of 3.0 inches, while the average 20- to 29-year old woman is 64.5 inches tall, with a standard deviation of 3.9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman?
-A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 12 cm with a standard deviation of 0.05 cm. For what lengths will a bolt be destroyed?
In: Math
You plan on going on a 6 month vacation 8 months from now. You can pay $3,458 per month during the vacation, or you can pay $22,523 today. If you pay today, how much does it save (or cost) you in present value term if your investments earn 3.41% APR (compounded monthly)?
If it costs you more to pay today, state your answer with a negative sign (eg., -2000).
In: Finance
1. According to the Case-Shiller Index (publ. by Standard & Poors), home prices in the Portland metro area in March 2012 reached an index 129.01 (compared with the base year value of 100.00 in January 2000). This compares with a local market peak of 186.51 in July 2007. Compare a house that sold for $400,000 in July 2007 to its possible price in March 2012 by applying the Case-Shiller Index. State the price and the loss in market value as a percentage of peak.
In: Finance
Amar Ltd furnishes the following information relating to budgeted sales and actual sales for the month of March 2010.
| PRODUCT | STANDARD UNITS | STANDARD RATE (INR) | ACTUAL UNITS | ACTUAL RATE (INR) |
| A | 1200 | 15 | 880 | 18 |
| B | 800 | 20 | 880 | 20 |
| C | 2000 | 40 | 2640 | 38 |
calculate :
(a) Sales price variance
(b) Sales volume variance
(c) Sales mix variance
(d) Sales quantity variance
In: Accounting
Sally's total income is $38 000 and she divorced last year. She does not own a home, but has charitable contributions of $1500 and interest on her car of $2100. This year she also paid spousal support of $2000, child support of $5000, and tuition of $2600. Her basic personal amount is $11 138. What is Sally's taxable income?
A) $34 500
B) $31 900
C) $36 000
D) $20 762
In: Finance
With the estimates shown below, Sarah needs to determine the trade-in (replacement) value of machine X that will render its AW equal to that of machine Y at an interest rate of 11% per year. Determine the replacement value.
| Machine X | Machine Y | |
| Market Value, $ | ? | 86,000 |
| Annual Cost, $ per Year | −57,500 | −40,000 for year 1,increasing by 2000 per year thereafter. |
| Salvage Value | 15,500 | 20,000 |
| Life, Years | 3 | 5 |
The replacement value is ________$ .
In: Economics
The following table shows the relationship between the price of product A and the quantity demanded for products A and B
Price of A ($) | Quantity demanded for A (kg) | Quantity demanded for B (kg) | Consumers’ income ($) |
6.0 | 100 | 20 | 2000 |
6.5 | 90 | 30 | 1800 |
7 | 70 | 50 | 1600 |
7.5 | 40 | 70 | 1400 |
8 | 10 | 85 | 1200 |
Calculate the cross elasticity of demand for B when the price of A decreases from $7.50 to $6.50. Are A and B complements or substitutes?
In: Economics
With the estimates shown below, Sarah needs to determine the trade-in (replacement) value of machine X that will render its AW equal to that of machine Y at an interest rate of 13% per year. Determine the replacement value. Machine X Machine Y Market Value, $ ? 87,000 Annual Cost, $ per Year −63,500 −40,000 for year 1,increasing by 2000 per year thereafter. Salvage Value 14,500 23,000 Life, Years 3 5
The replacement value is $ .
In: Economics
A 3000 bp circular DNA was treated with both HindIII and EcoRI restriction enzymes. EcoRI cuts at position 100. HindIII cuts at positions 500 and 2000. Which of the following represents the fragment that would be observed if the restricted DNA were analyzed using agarose gel electrophoresis?
A. 400, 100, 1000, 1500
B. 400, 500, 1500
C. 400, 100, 1600
D. 500, 100, 500, 900
E. 500, 1000, 600
In: Biology