?

1.) Find the resultant force of the following 3 forces: 800 N toward the east; 600 N toward the west; 100 N vertically up

~223.6 N [east] at 26.6° with the horizontal

~423.9 N [east] at 116.6° with the horizontal

~223.6 N [west] at 26.6° with the horizontal

~302.5 N [west] at 153.4° with the horizontal

2.) https://d2l.cbe.ab.ca/content/cbel/math/cbel06sepm...

Possible answers:

~1374.8 N [38.7°] at 21.3° upward with the horizontal

~925.4 N [38.7°] at 21.3° downward with the horizontal

~572.6 N [60°] at 30° upward with the horizontal

~1374.8 N [21.3°] at 38.7° upward with the horizontal

3.) A plane travels with an airspeed of 500 km/h toward the north and climbs at an angle of 30° with the horizontal. A horizontal wind blows toward the west at 100 km/h. Find the resultant velocity of the plane.

~586 km/h [348.9°] at 29.5° to the horizontal

~124 km/h [48.1°] at 131.9° upward with the horizontal

~124 km/h [319.4°] at 39.8° downward the horizontal

~586 km/h [29.5°] at 348.9° to the horizontal

4.) A crane is lifting a girder up with a force of 3000 N. Two workers help to position the girder by pulling on ropes attached to the girder. One worker pulls with a force of 400 N east and the other worker pulls with a force of 500 N north. Find the resultant force that acts on the girder.

~7067.6 N [78°] at 38.7° with the horizontal

~3067.6 N [38.7°] at 78° with the horizontal

~3269.6 N [138°] at 29.1° with the horizontal

~7007.4 N [39°] at 78.4° upward with the horizontal

1.) In guinea pigs, black coat colour is dominant to white. What is the probability that a heterozygous black guinea pig crossed with a white one will produce a white offspring?

~75%

~50%

~25%

~100%

2.) In guinea pigs, black coat colour is dominant to white. What is the predicted ratio of black to white offspring from this cross?

~1/1

~3/4

~1/2

~1/4

3.) Some dogs bark while others are silent when trailing prey. The barking characteristic is due to a dominant gene (B). Erect ears (E) are dominant to drooping ears (e).

If you crossed a dog heterozygous for both traits with a droopy-eared, silent trailer, what are the chances that one of their offspring will be dominant for both traits (erect-eared, barking trailer)? (show Punnett Square work)

4.) What are the chances of these two dogs producing a droopy-eared, silent trailer?

~3 in 4

~1 in 4

~1 in 2

~3 in 16

5.) If two dogs heterozygous for both traits were crossed, what would be the chance of them producing a droopy-eared, silent trailer?

~1 in 4

~3 in 16

~1 in 16

~3 in 4

1.) In dominant/recessive inheritance patterns, the dominant allele is always expressed when present. The recessive allele is only expressed when the dominant allele is not present. Use your observations from this activity to describe how codominant inheritance patterns differ from dominant/recessive inheritance patterns.

2.) Describe the resulting genotypes and phenotypes of an offspring

1.) Kai is considering purchasing a starter home for $75 000 or renting the same house. He is looking at this for a five year term only.

**Purchasing a home:

Monthly mortgage payment: $1 200

Down Payment $10 000

Renting a home:

Monthly Rent: $1 500

Damage Deposit: $1 000 **

Determine the total cost for Purchasing the home and renting the home (assuming he gets all of his damage deposit back) over the 5 year period. Use your calculations to determine which of the following statements is true.

A) Less expensive to purchase than to rent by $9 000.

B) Less expensive to purchase than to rent by $8000.

C) Less expensive to to purchase than to rent by $18 000.

D)Less expensive to to purchase than to rent by $19 000.

2.) Mike is planning to purchase a sofa and chair set for his new apartment. He is considering the following two options.

Option One: "rent-to-own" with a down payment of $179.99 and 24 monthly payments of $58.50

Option Two: purchse the set outright for $1099.00 (including taxes)

The difference in total cost betwen the two options, to the nearest dollar, is

A)$193

B)$125

C)$485

D)$305

3.) Mike is planning on purchasing a new car. He is considering the following two options.

Option One: Finance the car, with a down-payment of $2000 and 60 monthly payments of $439.(includes taxes)

Option Two: purchase the car outright for $26 797.86 (including taxes)

The difference in total cost between the two options, to the nearest dollar, is

A) $3542

B) $2458

C) $458

D) $1542

4.) Bill is planning on buying a new sports unitlity vehicle. The cost of the vehicle is $58 888.30 (including taxes). He has two options:

Option One: Buy the car outright.

Option Two: Make a $5000 down payment and take advantage of the 1.9% finance rate that the dealer is offering and pay monthly for the vehicle over a 5 year period.

The difference in total cost betwen the two options, to the nearest dollar, is

A) $2643

B)$2888

C) $2357

D) $7888

https://twitter.com/#!/kenzabelakziz

**Cross between a heterozygous mouse (Ff) and a pure breed white mouse (ff) (pure recessive and heterozygous crosses).**

1.) Based on the pure breeding white mouse and heterozygous mouse crosses you conducted above, what was the expected ratio of Black : White offspring?

2.) What actual numbers did you discover from 500 crosses? How do these numbers compare to the expected ratio?

3.) What combinations of parents give rise to only black-fur offspring? Choose the best answer.

~BB x BB

~BB x BB or BB x Bb

~BB x BB or BB x Bb or BB x bb

~BB x bb

~BB x BB or BB x bb

4.) Complete Punnett Square.

Parent 1 (Ff)

Parent 2(Ff)

What is the unique characteristics that make them suitable for the treatment of disease.

What are the technology, or the process, by which they are used to help in treating diseases like diabetes, or Parkinson’s disease.

What are some technology problems that can exist with the use of stem cells when treating diseases?

What would be two societal issues with the use of stem cells for the treatment of disease.

1.) The sum of two or more vectors is called

-the magnitude.

-a scalar.

-the resultant.

- the zero vector.

2.) Using the head-to-tail method of addition, find the resultant of the vectors 2 m/s2 [0degrees] and 6 m/s2 [130degrees].

~8 m/s² [100degrees]

~8 m/s² [111degrees]

~5 m/s2 [111degrees]

~5 m/s² [60degrees]

3.) A ship travels 3 km on a bearing of 105degrees. It then changes direction and travels 3.5 km on a bearing of 320degrees. How far, and with what bearing, must the ship travel to return directly to its starting point?

~ 2 km [200degrees]

~4 km [105degrees]

~2 km [105degrees]

~4 km [200degrees]

4.) An object with a weight of 500 N is suspended by two ropes. The

force exerted by one rope is 300 N, directed to the left at an angle of

60degrees above the horizontal. What force must be exerted by the other

rope to keep the object from moving?

~400 N at 57degrees to the horizontal

~400 N at 107degrees to the horizontal

~290 N at 57degrees to the horizontal

~290 N at 177degrees to the horizontal

5.) A plane travelling due south at a speed of 300 km/h encounters a wind with a velocity of 50 km/h toward the east. Determine the resultant velocity of the plane.

~350 km/h [130degrees]

~275 km/h [80degrees]

~310 km/h [10degrees]

1.) which of the matrices below can be added together, you may select more than one

http://tinypic.com/r/344ckdd/6

2.) *Use image above for route picture.

http://tinypic.com/r/a5eyjn/6

*Using the information given in the last question, how many ways can one travel from the University back to the University with exactly one stop?

*How mant ways can one travel from the UNiversity to DOwntown with at most one stop.

Use information below to answer questions:

Jen & Barry's strawberry delite ice cream sells in 1 L containers and 2 L containers. Market research has shown that 30% of the 1 L buyers switch to the 2 L container on their second purchase and 155 of the 2 L buyers switch to the 1 L container on their next purchase. The original market share is 55% for 1 L containers and 45% for the 2 L containers.

1.) What would be the initial probability matrix?

http://tinypic.com/r/svsb9f/6

2.) What is the transition matrix?

http://tinypic.com/r/okbiuh/6

3.) What is the market share for each size in the next round if purchase?

4.) If 520 people purchase Jen & Barry's Strawberry Delite, how many will purchase the 1 L container on their third round of purchases.

which of the matrices below can be added together, you may select more than one

http://tinypic.com/r/344ckdd/6

Use the following information to answer next 4 questions:

----Consider an investment of $2000 at 8% per annum, compounded monthly, for 5 years. A fixed sum of $100 is to be added to the investment at the end of each compounding period.

http://tinypic.com/r/29e1xj8/6

1.) Using the spreadsheet for Investing Regularly given above, determine

what values must be entered into cells C3, C4, C5, and C6.

~ $2000, 8%, 100, 12

~ $2000, 8%, 12, $100

~ $2000, 8, 12, $100

~ $2000, 8%, $12, $100

2.) Using the spreadsheet for Investing Regularly given above, determine to which row you must fill down in order to calculate the closing balance.

3.) Using the spreadsheet for Investing Regularly given above, determine what values will be found in cells A10, B10, C10, D10, and E10.

~ 0.169, 2213.33, 15.09, 100, 2329

~ 0.167, 2113.33, 14.09, 100, 2227

~ 0.167, 2413.78, 14.09, 100, 2227

~ 167, 21130.33, 14.09, 100, 22270

4.) Using the spreadsheet for Investing Regularly given above, determine what the closing balance of this investment is.

~ $10327.38

~ 147562.53

~ 10006.29

~ $15940.86

Use the following information to answer next 4 questions:

----Consider an investment of $2000 at 8% per annum, compounded monthly, for 5 years. A fixed sum of $100 is to be added to the investment at the end of each compounding period.

http://tinypic.com/r/29e1xj8/6

1.) Using the spreadsheet for Investing Regularly given above, determine

what values must be entered into cells C3, C4, C5, and C6.

~ $2000, 8%, 100, 12

~ $2000, 8%, 12, $100

~ $2000, 8, 12, $100

~ $2000, 8%, $12, $100

2.) Using the spreadsheet for Investing Regularly given above, determine to which row you must fill down in order to calculate the closing balance.

3.) Using the spreadsheet for Investing Regularly given above, determine what values will be found in cells A10, B10, C10, D10, and E10.

~ 0.169, 2213.33, 15.09, 100, 2329

~ 0.167, 2113.33, 14.09, 100, 2227

~ 0.167, 2413.78, 14.09, 100, 2227

~ 167, 21130.33, 14.09, 100, 22270

4.) Using the spreadsheet for Investing Regularly given above, determine what the closing balance of this investment is.

~ $10327.38

~ 147562.53

~ 10006.29

~ $15940.86

Use the following information to answer next 4 questions:

----Consider an investment of $2000 at 8% per annum, compounded monthly, for 5 years. A fixed sum of $100 is to be added to the investment at the end of each compounding period.

http://tinypic.com/r/29e1xj8/6

1.) Using the spreadsheet for Investing Regularly given above, determine

what values must be entered into cells C3, C4, C5, and C6.

~ $2000, 8%, 100, 12

~ $2000, 8%, 12, $100

~ $2000, 8, 12, $100

~ $2000, 8%, $12, $100

2.) Using the spreadsheet for Investing Regularly given above, determine to which row you must fill down in order to calculate the closing balance.

3.) Using the spreadsheet for Investing Regularly given above, determine what values will be found in cells A10, B10, C10, D10, and E10.

~ 0.169, 2213.33, 15.09, 100, 2329

~ 0.167, 2113.33, 14.09, 100, 2227

~ 0.167, 2413.78, 14.09, 100, 2227

~ 167, 21130.33, 14.09, 100, 22270

4.) Using the spreadsheet for Investing Regularly given above, determine what the closing balance of this investment is.

~ $10327.38

~ 147562.53

~ 10006.29

~ $15940.86

1.) Using the compound interest formula A = P(1 + i)n, determine the future amount, to two decimal places, if an amount of $500 is invested at 8% per annum, compounded semi-annually, for 10 years. Fill in the blanks for the the following values. (do not put a $ sign).

P =

i =

n =

A =

2.) Determine the future value of an investment if $1800 is invested at 5.8% per annum, compounded quarterly, for 5 years.

~5558.86

~2400.57

~27 001.15

~3188.45

3.) To determine how much money you need to invest at 6% per annum, compounded semi- annually, for the investment to accumulate to $5500 in 4 years, which of the following would be the correct entries in you graphing calculator?

~N=8

I%=6

PV=?

PMT=0

FV=5500

P/Y=2

C/Y=1

PMT:END

~N=4

I%=6

PV=?

PMT=0

FV=5500

P/Y=2

C/Y=2

PMT:END

~N=8

I%=6

PV=5500

PMT=0

FV=

P/Y=2

C/Y=2

PMT:END

~N=8

I%=6

PV=?

PMT=0

FV=5500

P/Y=2

C/Y=2

PMT:END

4.) What formula will be found in cell D4 if the formula =SUM(A1:C1) is entered into cell D1 and then filled down to cell D4?

~ =SUM(A4:C4)

~ =SUM(A1:D4)

~ =SUM(C4:D4)

~ =SUM(A4:D4)

In a survey of a random sample of 1000 teenagers in Nanaimo, B.C., it was found that 125 of these teenagers had never travelled outside of their own province. Construct a 95% confidence interval for this data.

-111.2 to 137.2

-104.502 to 145.498

-87.502 to 145.534

-98.487 to 151.673

1.) Construct a 95% confidence interval for n = 100, p = 0.8

-85.4 to 120.6

-67.13 to 99.8

-70.42 to 94.85

-72.16 to 87.84

2.) In a survey of a random sample of 1000 teenagers in Nanaimo, B.C., it was found that 125 of these teenagers had never travelled outside of their own province. Construct a 95% confidence interval for this data.

-111.2 to 137.2

-104.502 to 145.498

-87.502 to 145.534

-98.487 to 151.673

1.) Construct a 95% confidence interval for μ = 120, σ = 15

-100.1 to 151.2

-90.6 to 149.4

-99.8 to 149.4

-110.3 to 156.3

2.) Construct a 95% confidence interval for n = 100, p = 0.8

-85.4 to 120.6

-67.13 to 99.8

-70.42 to 94.85

-72.16 to 87.84

3.) In a survey of a random sample of 1000 teenagers in Nanaimo, B.C., it was found that 125 of these teenagers had never travelled outside of their own province. Construct a 95% confidence interval for this data.

-111.2 to 137.2

-104.502 to 145.498

-87.502 to 145.534

-98.487 to 151.673

1.) The X and Y chromosomes are called the sex chromosomes because they determine the gender of a person. How do the X and Y chromosomes compare?

-The chromosomes are relatively the same size..

If it’s a female then she gets one X chromosome from the father and one from the mother.

If it’s a male then he gets an X chromosome from the mother and the Y from the father

-The X chromosome is much bigger in size than the Y chromosome.

If it’s a female then she gets one X chromosome from the father and one from the mother.

If it’s a male then he gets an X chromosome from the mother and the Y from the father

-The Y chromosome is much bigger in size than the X chromosome.

If it’s a female then she gets one X chromosome from the father and one from the mother.

If it’s a male then he gets an X chromosome from the mother and the Y from the father

-The X chromosome is much bigger in size than the Y chromosome.

If it’s a female then she gets one X chromosome from the father and one from the mother.

If it’s a male then he gets an Y chromosome from the mother and the X from the father

2.) How does the karyotype of subject B compare with that of subject A? What is the gender of subject B?

-Subject A and B both have 2 X chromosomes threrefor both A and B are females.

-Subject B has 2 X chromosomes whereas subject A has one X and one Y chromosome. Subject B is a female.

-Subject A has 2 X chromosomes whereas subject B has one X and one Y chromosome. Subject A is a female.

-Subject B has 2 Y chromosomes whereas subject A has one X and one Y chromosome. Subject B is a male.

3.) How does the karyotype subject C differ from the normal human karyotype? How many total chromosomes does this individual have?

-Subject C has 2 X chromosomes and 1 Y chromosome. That individual has 48 chromosomes in total.

-Subject C has 2 X chromosomes and 1 Y chromosome. That individual has 49 chromosomes in total.

-Subject C has 2 X chromosomes and 1 Y chromosome. That individual has 47 chromosomes in total.

-Subject C has 2 Y chromosomes and 1 X chromosome. That individual has 47 chromosomes in total.

1.) http://tinypic.com/r/91cnxx/6

2.) Calculate the mean and standard deviation, to the nearest hundredth, for the following binomial experiment.

A regular 6-sided die is rolled 50 times and the number of times an even number appears is recorded.

Mean =

Standard Deviation=

3.) A manufacturer of computer chips has found that about 0.5% of the chips it produces are defective. Calculate the mean and standard deviation for the number of defective chips in a sample of 1000.

Enter your answers, to the nearest hundredth, in the answer boxes below.

Mean =

Standard Deviation =