A study claims that the combination of vitamin C with vitamin E is more effective for preventing the flu than vitamin C alone. In the study, a group of researchers studied 1132 subjects. The subjects were randomly assigned to out of three study groups. The first group of 310 subjects were instructed to take 600 mg daily of vitamin C. The second group of 418 subjects were instructed to take 600 mg of vitamin C and 200 IU of vitamin E daily. The third group of 404 subjects were instructed to take 600 mg of vitamin C and 400 IU of vitamin E daily. The incidence of flu over a season was recorded. All subjects knew which treatment they were receiving.
In this study, which is the control group?
o the second group of 418 taking 200 IU of vitamin E
o the 1132 subjects
o the first group of 310 taking vitamin C alone
o the third group of 404 taking 400 IU of vitamin E
o There is no control group.

Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.

To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:

a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.

b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.

To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:

a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.

b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.

Learn more about square here:

https://brainly.com/question/14198272

#SPJ11

Answer:

y = x, y = x^3, y = x^5

Step-by-step explanation:

For it to be symmetrical over the origin, you need to replace x with -x and y with -y AND make sure it equals to the original function. So for example, take y = x^5. Replace the x and y with -c and -y respectively:

-y = -x^5

Both are still negative so if you divide by -1, it is just the original function so it is symmetrical over origin.

If you don't understand something, comment and I will try my best to answer it

Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

The graph best represents this relationship of the scale model of a statue is B.

For the given question;

On the model 2 inches represents 1 foot on the actual statue.

Thus, model 4 inches represents 2 foot on the actual statue.

This is given by graph B.

Thus, the graph best represents this relationship of the scale model of a statue is B.

To know more about the scale factor, here

https://brainly.com/question/25722260

#SPJ1

Answer:

$16 for 2 hours

Step-by-step explanation:

3 (x) + 10

3 (2) + 10

6 + 10

16

3TT + 10?

Answer: He spent $6 for leaving his car in the parking lot for 2 hours. He payed $66 for leaving his car in the parking lot for tt hours. In total he spent $82.

Step-by-step explanation: $3x2=$6     $3x22=$66     $10+$6+$66=$82

Answer:3.6

Step-by-step explanation: your just duh and duh

Answer:

-15=x-16

x-16= -15

x= -15+16

x=1

Answer:

The indifference point is 1.6 hours.

Step-by-step explanation:

Giving the following information:

Jerry's water sports:

Variable cost= $20.00 per hour

Fixed cost= $8

Splash of fun:

Variable cost= $25.00 per hour.

First, we need to establish the system of equations:

Jerry= 8 + 20x

Splash= 25x

x= number of hours

Now, we need to equal both formulas and isolate x:

20x + 8 = 25x

8=5x

1.6= x

The indifference point is 1.6 hours.

Prove:

erry= 8 + 20*1.6= $40

Splash= 25*1.6= $40

The number of students in vans are 13 whereas in buses it is 31.

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, the School A rented and filled 5 vans and 6 buses with 251 students, and School B rented and filled 6 vans and 14 buses with 512 students.

Let the number of student in vans be v and that of in buses be b, therefore, establishing the system of equations,

5v + 6b = 251.....(i)

6v + 14b = 512....(ii)

Multiplying eq(i) by 6 and eq(ii) by 5

30v + 36b = 1506...(iii)

30v + 70b = 2560....(iv)

Subtracting eq(iii) from (iv)

(30v + 70b = 2560) - (30v + 36b = 1506)

34b = 1054

b = 31

Put b = 31 in eq(i)

5v + 6×31 = 251

5v = 65

v = 13

Hence, the number of students in vans are 13 whereas in buses it is 31.

Learn more about system of equations, click;

https://brainly.com/question/12895249

#SPJ1

Answer:

Step-by-step explanation:

100cm/m=260cm/xm

cross multiply and solve:

100x=260

x=2.6

1.5 litres of water are released from the faucet per minute.

It is given to us that -

There is a one quart jar

Water from the kitchen faucet fills the 1-quart jar in 10 seconds.

We need to ascertain the faucet's flow rate in gallons per minute.

We know that -

1 quart = 0.25 gallon ---- (1)

We also know that -

1 minute = 60 seconds

=> 60 seconds = 1 minute

=> 10 seconds = 10/60 = 0.16 minutes ----- (2)

Now, the flow rate can be calculated as -

Flow rate = Amount of water filled/Time taken ----- (3)

Substituting the values from equation (1) and (2) in equation (3), we have -

Flow rate = Amount of water filled/Time taken

=> Flow rate = 1 quart water/10 seconds

=> Flow rate = 0.25 gallons/0.16 minutes

=> Flow rate = 1.5 gallons per minute

Therefore, the flow rate of water from the faucet is 1.5 gallons per minute.

To learn more about flow rate visit https://brainly.com/question/27880305

#SPJ4

If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

\(67.21^0\) is the angle with the transmission axis of the sheet make with the horizontal when its intensity is 15% of incident light .

The term intensity is used to describe the rate at which light spreads over a surface of a given area which is at some distance from a source.

the formula of intensity of light is

   \(i = i_0 cos^2 (\alpha )\)

where is the intensity at the given angle \(\alpha\)

given that only 15% of the intensity of the incident light is transmitted through the sheet.

 so   \(\frac{i}{i_0} * 100\)  =15 so i/i0 = 0.15

so \(cos^2 (\alpha ) = 0.15 , cos (\alpha ) = 0.38729\)

\(\alpha\)  =  67.21 degree is requied answer of this question

To know more about intensity of light click on below link:

https://brainly.com/question/28192855#

#SPJ4

Answer:

For the first question, To determine the probability that a student studied for exactly 1 hour, we can use the formula:

P(X=1) = (number of students who studied for 1 hour) / (total number of students)

In this case,

P(X=1) = 8/30 = 0.27 (rounded to two decimal places)

So the probability that a student studied for exactly 1 hour is 0.27

For the second question, to determine the experimental probability of drawing a heart, we can use the formula:

P(Heart) = (number of times a heart is drawn) / (total number of draws)

In this case,

P(Heart) = 7/20 = 0.35

So the experimental probability of drawing a heart is 0.35

Therefore, the option 3 is the answer.

Step-by-step explanation:

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

What is Taylor Series?

In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the derivative of the function at a single point. For most common functions, the function and the sum of its Taylor series near this point are the same.

To find the Taylor series for the function f(x) = x⁴ - 6x² + 1 centered at a = 2, we can use the formula for the Taylor series expansion:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

First, let's find the values of f(a) and its derivatives at x = a = 2:

f(2) = (2)⁴ - 6(2)² + 1 = 16 - 24 + 1 = -7

f'(x) = 4x³ - 12x

f'(2) = 4(2)³ - 12(2) = 32 - 24 = 8

f''(x) = 12x² - 12

f''(2) = 12(2)² - 12 = 48 - 12 = 36

f'''(x) = 24x

f'''(2) = 24(2) = 48

Now, we can substitute these values into the Taylor series formula:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

f(x) = -7 + 8(x - 2)/1! + 36(x - 2)²/2! + 48(x - 2)³/3! + ...

Simplifying the terms:

f(x) = -7 + 8(x - 2) + 18(x - 2)² + 8(x - 2)³ + ...

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

To learn more about Taylor Series from the given link

https://brainly.com/question/12800011

#SPJ4

Answer:

$81.6

Step-by-step explanation:

(1,360.00)(6%)=81.6

Answer:

a. AD = 28 mm

b. m/CBD = 90°

c. m/ADC = 90°

d. m/AEB = 45°

e. m/DAC = 135°

Margaret is incorrect because the given information does not include enough details to determine if the quadrilateral WXYZ is a parallelogram.

To prove that a quadrilateral is a parallelogram, the four sides must be equal in length and the opposite angles must be congruent. The given information does not include any measurements or angles, so it is not possible to determine if the quadrilateral is a parallelogram.

No, 144 inches of tape is not enough to finish the job. The hazard sign has two identical parallelogram-shaped stripes, and each stripe will require more than 144 inches of tape to outline. The area of a parallelogram can be calculated using the formula A = bh, where b is the base and h is the height. In order to determine how much tape is needed to outline the stripes, the base and height of the parallelograms must be known.

There is not enough information to prove that a quadrilateral is a parallelogram, as all four sides must be equal in length and the opposite angles must be congruent. Additionally, 144 inches of tape is not enough to outline the hazard sign's two identical parallelogram-shaped stripes, as the base and height of the parallelograms must be known in order to calculate the area.

learn more about parallelogram here

https://brainly.com/question/29147156

#SPJ4

Answer:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Step-by-step explanation:

There are four common types of transformations -

translation

rotation

reflection

 dilation.

The probability that Ken will use all the toothpaste in the tube is 7.64%.

From the given information,Mean, μ = 0.13 ounceStandard deviation, σ = 0.02 ounceNumber of times Ken brushes his teeth, n = 6.

The amount of toothpaste Ken squeezes out of the tube each time he brushes is independent and can be modeled by a Normal distribution.

From this information, we can obtain that:Mean of toothpaste used in 6 brushes = n × μ = 6 × 0.13 = 0.78 ounceStandard deviation of toothpaste used in 6 brushes = $\sqrt{n}$ × σ = $\sqrt{6}$ × 0.02 = 0.049 ounce.

To find the probability that Ken will use all the toothpaste in the tube, we need to calculate the probability of the amount of toothpaste used in 6 brushes being more than or equal to 0.85 ounce,
which is the total amount of toothpaste in the tube.P(X ≥ 0.85) = P( Z ≥ (0.85 - 0.78) / 0.049) = P(Z ≥ 1.43) = 1 - P(Z < 1.43)Using standard normal distribution table, we find the value of P(Z < 1.43) as 0.9236. Therefore,P(X ≥ 0.85) = 1 - P(Z < 1.43) = 1 - 0.9236 = 0.0764 or 7.64%.

The amount of toothpaste that Ken squeezes out each time he brushes is modeled by a normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces.

The amount of toothpaste squeezed out at each brushing is independent of the previous amount of toothpaste squeezed out. We want to determine the probability that Ken will use all of the toothpaste in a 0.85-ounce tube if he brushes his teeth six times.

To do so, we first find the mean and standard deviation of the amount of toothpaste squeezed out in six brushes. If Ken brushes his teeth six times, then the mean amount of toothpaste squeezed out is nμ = 6(0.13) = 0.78 ounces. If the amount of toothpaste squeezed out at each brushing is independent, then the standard deviation of the amount of toothpaste squeezed out in six brushes is sqrt(6) * 0.02 = 0.049 ounces.

We now want to find the probability that Ken will use all of the toothpaste in the tube.

This is equivalent to finding the probability that the amount of toothpaste squeezed out in six brushes is greater than or equal to 0.85 ounces, which is the total amount of toothpaste in the tube.

If X is the amount of toothpaste squeezed out in six brushes, then we want to find P(X >= 0.85).We can standardize the distribution of X by subtracting the mean and dividing by the standard deviation.

Z = (X - μ) / σ is the standard normal random variable associated with X. In this case, Z has mean 0 and standard deviation 1. We want to find P(Z >= (0.85 - 0.78) / 0.049), which simplifies to P(Z >= 1.43). Using a standard normal distribution table, we can find P(Z < 1.43) = 0.9236. Therefore, P(Z >= 1.43) = 1 - P(Z < 1.43) = 1 - 0.9236 = 0.0764, or 7.64%.Therefore, the probability that Ken will use all the toothpaste in the tube is 7.64%.

Therefore, the probability that Ken will use all the toothpaste in the tube is 7.64%.

To know more about Normal distribution visit:

brainly.com/question/15103234

#SPJ11

Answer: C and also I love Fred and george Weasley omg I love Harry Potter so much

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The angle opposite of y would have the same value.  That would make that angle 110.  That angle and the x would make a straight line.  The measurement of a straight line is 180.  180 - 110 = 70. Angle x would be 70.

Helping in the name of Jesus.

Answer:

B) 70⁰

Step-by-step explanation:

Opposite angles of a paralellogram are equal, so the inside angle of the paralellogram is also 110⁰. x+110 must add up to 180⁰, so x=70⁰.

Hope this helps!

Answer: 0.29166666666

Step-by-step explanation: