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## Suppose you are able to manipulate a plants access to components in the photosynthesis equation. drag each label to the appropriate bin to predict how that action will affect plant growth. for each increase or decrease, assume that every other component of the photosynthesis equation is unlimited.

We know that the word equation for the reaction taking place during photosynthesis is:

carbon dioxide + water + sunlight → glucose + oxygen

Therefore, the more the reactants are provided, the more the plant will grow. The lesser the reactants, the lesser the growth. Providing products will not alter the rate of photosynthesis. The factors may be grouped as:

Increase plant growth:
-increase sunlight
-increase carbon dioxide
-increase water

No effect on plant growth:
-increase glucose
-increase oxygen
-decrease glucose
-decrease oxygen

Decrease plant growth:
-decrease water
-decrease sunlight
-decrease carbon dioxide

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## Suppose that people’s heights (in centimeters) are normally distributed with a mean of 170 and a standard deviation of 5. We find the heights of 50 people.

We have
mean=mu=170
standard deviation=sigma=5

can now calculate the Zmin and Zmax using Z=(X-mean)/standard deviation
Zmin=(165-170)/5=-1
Zmax=(175-170)/5=+1
From normal probability tables,
P(z<Zmin)=P(z<-1)=0.15866
P(z<Zmax)=P(z<+1)=0.84134
P(165<x<175)=P(Zmin<z<Zmax)=0.84134-0.15866= 0.68269

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## A. about 60% of florida residents believe that florida is a nice place to live. suppose that six randomly selected florida residents are interviewed. what is the probability that at least one resident does not think that florida is a nice place to live?

At least 6, means: either 1 and 2 and 3 and 4 and 5 and 6

Probability(that Florida is a nice place to live) = 60% = 0.6
If  at least  6 randomly selected like Florida:
P(at lest 6 LIKE Florida) = (0.6)⁶ = 0.04665
P(at least 6 DON’T LIKE Florida) = 1-0.04665 = 0.9533

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## A share of stock in the Lofty Cheese Company is quoted at 251/4. Suppose you hold 30 shares of that stock, which you bought at 201/4. If you sell your stock at 251/4, which one of the following statements would be true?

A share of stock in the Lofty Cheese Company is quoted at 251/4. Suppose you hold 30 shares of that stock, which you bought at 201/4. If you sell your stock at 251/4, which one of the following statements would be true?

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## Suppose the Federal Reserve raises interest rates. Which of the following predicts the most likely results?

Suppose the Federal Reserve raises interest rates. Which of the following predicts the most likely results?

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## Consider college officials in admissions registration, counseling, financial aid campus ministry, food services, and so on. How much money do these people make each year? Suppose you read in your local newspaper that 45 officials in student services earn an average of \$50,340 each year. Assume that the standard deviation is \$10,780 for salaries of college officials and student services. Find a 90% confidence interval for the population mean salaries of such personnel. Round your answer to the nearest dollar and don;t forget to use the \$ sign.

Since sample size is > 40, we use the z-score
in calculating for the confidence interval.

The formula is given as:

Confidence Interval = X ± z * σ / sqrt (n)

Where,

X = mean = \$50,340

z = z-score which is taken from standard distribution
tables at 90% confidence interval = 1.645

σ
= standard deviation = \$10,780

n = sample size = 45

Substituting to the equation:

Confidence Interval = 50,340 ± 1.645 * 10,780 / sqrt (45)

Confidence Interval = 50,340 ± 1,607

Confidence Interval = \$48,733 to \$51,947

Therefore the salary range of the personnel is \$48,733 to \$51,947.

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## Suppose both the mean and median of the distribution are 6. which of these statements is true about the mode of the distribution

Suppose both the mean and median of the distribution are 6. which of these statements is true about the mode of the distribution

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## Suppose you have 30coins that total to \$2.10 some of these coins are pennies and the rest are dimes which system of equations can be solved to find the number of each type of coin you have

Suppose you have 30coins that total to \$2.10 some of these coins are pennies and the rest are dimes which system of equations can be solved to find the number of each type of coin you have

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## Suppose you are testing different soils to determine which grows healthier bean plants. You count and record the number of leaves on each test every three days for six weeks. What type of graph would be best to display your data?

Suppose you are testing different soils to determine which grows healthier bean plants. You count and record the number of leaves on each test every three days for six weeks. What type of graph would be best to display your data?

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## When are we suppose to Rationalize the denominator? Like here, 1/ Is that the final answer? How come we can’t rationalize this denominator? And other example—- x^-1/5 and my teacher said the answer for this one is – 1/ How come? Can’t we rationalize the denominator? This is so hard? Can somebody help please?

It is encouraged to rationalize the denomenator
you can rationalize the denomenator

one way is to convert to exponent
remember that
also,
and

so

so we want x^{4/4}, so 1/4+3/4=4/4
times the whole thing by to get

but, it looks alot nicer in the original form tho

the 2nd one, we multiply it by to get
but it looks nicer in original form tho

so you can ratinalize the denomenator but you don’t always have to

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## Consider a political discussion group consisting of 9 ​Democrats, 7 ​Republicans, and 3 Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting no Democrats

Well, first you would add up how many objects you have to select from

9 democrats + 7 Republicans + 3 Independents = 19 total people
so then you would put how many people you can have over that number
so since we don’t want any Democrats it would be 10/19 (.52)
and that tells you the chances of not picking one the first time

then, since that person cannot be selected again, we remove them from the pool, making it only 18 people to pick from and 9 people you want picked so once again you put 9/18 (.50), then you take those, (in decimal form) and multiply them (.26) then convert it to a fraction by moving the decimal to the right two and have 26% chance of no Democrats

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## Suppose you are operating a boat 28 feet long on federal waters. what must you display in a prominent location?

Suppose you are operating a boat 28 feet long on federal waters. what must you display in a prominent location?

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## The brain mass of a fetus can be estimated using the total mass of the fetus by the function b equals 0.22 m superscript 0.87b=0.22m0.87?, where m is the mass of the fetus? (in grams) and b is the brain mass? (in grams). suppose the brain mass of a 2323?-g fetus is changing at a rate of 0.240.24 g per day. use this to estimate the rate of change of the total mass of the? fetus, startfraction dm over dt endfraction dm dt.

We are given
b = 0.22 m^0.87
db/dt = 0.24 g/day at b = 23 g

where
b is the brain mass of the fetus
m is the total mass of the fetus
db/dt is the rate of change of the brain mass of the fetus

We are asked to get the rate of change of the total mass of the fetus

First, we take the first derivative of the given equation with respect to time
db/dt = 0.22 (0.87) m^(0.87-1) dm/dt
Next, simplify and substitute the given values. So,
0.24 g/day = 0.22(0.87)(23)^(0.87 -1 ) dm/dt
Solving for dm/dt
dm/dt = 1.88 g/day

The rate of change of mass of the fetus is 1.88 g/day.

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## Suppose you have a 19-foot boat. what information will be shown on your boat’s capacity plate?

If your possible answers are maximum weight and/or number of people the boat can carry safely
maximum gallons of fuel the boat can carry
minimum weight of people and/or gear needed for stability
minimum load capacity of a trailer for this boat

maximum weight and/or number of people the boat can carry safely

Maximum gallons of fuel is decided based on your tank size, while a minimum load is not as important. It’s mostly about how much weight can it carry, regardless of the form of the weight, either in people, cargo, or combined.

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## Suppose a person developed a mutation in a somatic cell which diminishes the performance of the bodys natural cell cycle control proteins. this mutation resulted in cancer, but was effectively treated with a cocktail of cancer-fighting techniques. is it possible for this persons future children to inherit this cancer-causing mutation

Yes, it is probable for a person’s future
children to inherit this kind of mutation. There is a one
in two possibility to inherit this. Cells that are already destroyed permanently by the cancer will divide further
even though there is cancer fighting techniques or cocktails induced.
The mutation may either be a recessive trait or a major trait
depending on the genetic code of the mutation.

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## Suppose that a natural disaster substantially increases the cost of producing cheese. we would predict that the equilibrium quantity of cheese will ________ and the equilibrium price of cheese will ________.

The Contribution Margin per unit (CM) can be calculated
from the difference of Selling Price per unit (SP) and Total Expenses per unit
(TE).

First, let’s calculate the value of SP:

SP = Sales / Units sold

SP = \$1,043,400 / 22,200 units sold

SP = \$47

Second, calculate all expenses:

Direct materials per unit = \$234,948 / 27,970 units
manufactured = \$8.4

Direct labor per unit = \$131,459 / 27,970 units
manufactured = \$4.7

Variable manufacturing overhead per unit = \$240,542 / 27,970
units manufactured = \$8.6

Variable selling expenses per unit = \$113,220 / 22,200
units sold = \$5.1

TE = \$26.8

Therefore the CM is:

CM = SP – TE

CM = \$47 – \$26.8

CM = \$20.2 per unit

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## Suppose an isosceles triangle ABC has A = 45° and b = c = 4. What is the length of a2?

The triangle ABC is similar to triangle LMP. The order here is very important. The letters correspond to one another
A corresponds to L (first letters of each sequence)
B corresponds to M (second letters of each sequence)
C corresponds to P (third letters of each sequence)

In a similar fashion, the segments also correspond to one another.
AB corresponds to LM (first two letters of each sequence)
AC corresponds to LP (first and last letters of each sequence)
BC corresponds to MP (last two letters of each sequence)

————————————

AB corresponds to LM. AB is 4 units long. LM is 2 units long. So AB is twice as long as LM. This ratio (of 2:1) will be applied to every paired corresponding value.

Also, the right angle is at angle M for triangle LMP. The right angle will be at angle B for triangle ABC (since B corresponds to M). The answer will have an x coordinate of 7. So the answer is either choice B or choice C.

If we move 4 units down from point B, we land on (7,-10). That isn’t listed as an answer choice. Let’s try moving 4 units up from point B. We land on (7,-2). This is an answer choice

So the final answer is choice C) (7,-2)

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## Suppose you have monohybrid flowers in your garden and find that they produce black seeds to brown seeds in the ratio of 3:1. If the allele are designated (B & b) receptively, what are the probable genotypes of the black seeds produced by your plants?

Suppose you have monohybrid flowers in your garden and find that they produce black seeds to brown seeds in the ratio of 3:1. If the allele are designated (B & b) receptively, what are the probable genotypes of the black seeds produced by your plants?

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## Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x less than or equal to 92)? A. 0.84 B. 0.16 C. 0.025 D. 0.975

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## Suppose people like potatoes and rice equally well. Potatoes are sold in bags and rice is sold in boxes. If a freeze destroys the potato crop, which of the following statements is true? The quantity demanded of bags will increase. The quantity demanded of boxes will increase. The demand for bags will increase. The demand for boxes will decrease. The demand for boxes will increase.

Hey there!

For your first question, consider the difference between emergency care and elective surgery. Elective surgery is planned out in advance and is considered a luxury to those who can pay for it only. In some situations, people can opt out of treating something with surgery, especially if it’s expensive, and may try other methods of treating what they have if other options exist. Also, as the price of a surgery procedure gets higher, less people will be able to pay for it, decreasing the demand. On the contrary, when it’s an emergency, people will often value the life of the urgent patient above all else, including money. Therefore, it can be assumed that urgent care will always be demanded regardless of its price fluctuation.

For your second question, consider the general consensus of people who purchase health care (in general). These people likely think about the possibility of falling ill and needing the health care in the first place. These people also likely think of all that could happen on vacation, especially to foreign countries where immunities and illnesses could be very different, and would like to minimize the possibility of getting ill as much as possible. So, it would make sense that someone who buys more health care would spend less on vacationing and vice versa.

Hope this helped you out! 🙂

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## Calculating the return on investment using financial leverage. suppose Dave invested only 20,000 of his own money and borrowed 180,000 interest-free from his rich father. what was his return on investment?

The correct option is B) \$680.

Step-by-step explanation:

Consider the provided information.

Her total amount invested was \$1,500. At the end of the year, she had earned \$106.40 in interest.

Let she invested x amount with 8% interest rate.

Total amount she invested was \$1,500, thus the amount she invested with 6% interest rate was 1500-x.

Total interest she earn was \$106.40

Write this information into mathematical form.

Hence, she invested \$820 with 8% interest rate.

The amount she invested with 6% interest rate was 1500-x.

Substitute the value of x in above.

1500-820=680

Hence, she invested \$680 with 6% interest rate.

The correct option is B) \$680.

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## Suppose you dissolved 0.123 gram of pentane in 2.493 grams of p-xylene and measured a freezing point depression of 2.88 degrees celcius for the solution. Calculate the molar mass of pentane using this data and the value for Kf that you calculated in question 1 I got .829 mol/kg for question 1

This problem is to apply Roult’s Law.

Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv

p = Xsolv * Po sol

X solv = number of moles of solvent / number of moles of solution

The solvent is water and the solute (not volatile) is glycerin.

Number of moles = mass in grams / molar mass

mass of water = 132 ml * 1 g/ml = 132 g

molar mass of water = 18 g/mol

=> number of moles of water = 132 g / 18 g/mol = 7.33333 mol

mass of glycerin = 27.2 g

molar mass of glycerin:, C3H8O3: 3 * 12 g/mol + 8 * 1 g/mol + 3*16 g/mol = 92 g/mol

number of moles of glycerin = 27.2g / 92 g/mol = 0.29565

total number of moles = 7.33333 moles + 0.29565 moles = 7.62898 moles

=> X solv = 7.33333 / 7.62898 = 0.96125

=> p = 0.96125 * 31.8 torr ≈ 30.57 torr ≈ 30.6 torr.

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## In labradore retreivers black coat color is dominant to brown. suppose that a black lab is mated with a brown one and the offspring are 4 black puppies and 1 brown. what can you conclude about the genotype of the black lab parent?

The blood type is B+. The blood type depends on some protein substances called antigens present on the cell membrane of the red blood cells that help the cells to identify and communicate with each other. There are four types of blood types;
1- Blood type A which have antigens A on the red blood cells.
2- Blood type B which have antigens B on the red blood cells.
3- Blood type AB which has antigens A and B on the red blood cells.
4- Blood type O which have no antigens on the red blood cells.
There is a second type of antigens present on the red blood cells which is called rhesus. Rhesus may be present, so the individual will be positive (+) rhesus), or it may be absent, so the individual will be negative (-) rhesus.
To determine the blood type, we add anti-a and anti-b serums to two samples of the tested blood.
If the anti-a coagulates only, the person is blood type A.
If the anti-b coagulates only, the person is blood type B.
If the two samples coagulate, the person is blood type AB.
If the two samples don’t coagulate, the person is blood type O.
To another blood sample from the same blood, we add anti rhesus, if it coagulates, the person is )+), if not the person is (-).