Researchers want to compare the effectiveness of an extract of St. John's Wort with placebo in outpatients with major depression. They recruited 200 adult outpatients diagnosed as having major depression and having a baseline Hamilton Rating Scale for Depression (HAM-D) score of at least 20. Participants were randomly assigned to receive either St. John's Wort extrat, 900 milligrams per day (mg/day) for 4 weeks, increased to 1200 mg/day in the absence of an adequate response thereafter, or a placebo for 8 weeks. The response variable was the change on the HAM-D over the treatment period. After analysis of data, it was concluded that St. John's Wort was not effective for treatment of major depression.

Required:
a. What type of experimental design this is?
b. What is the population that is being studied?
c. What is the response variable in this study?
d. What are the treatments?
e. Identify the experimental units.
f. What is the control group in this study?

Answer:

The second choice.

Step-by-step explanation:

Answer:

At most 9.12 joules should be required for the bottom 80% of bottled water

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 8.7, \sigma = 0.5[/tex]

How much energy should be required for the bottom 80% of bottled water?

At most the 80th percentile.

The 80th percentile is X when Z has a pvalue of 0.8. So it is X when Z = 0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - 8.7}{0.5}[/tex]

[tex]X - 8.7 = 0.84*0.5[/tex]

[tex]X = 9.12[/tex]

At most 9.12 joules should be required for the bottom 80% of bottled water

Answer:

(-9, 6)

Step-by-step explanation:

edgenuity 2020

hope this helps!

Answer:

[tex]\dfrac{1}{10}[/tex]

Step-by-step explanation:

Probability of the captain hitting the pirate ship [tex]=\dfrac{1}{2}[/tex]

Probability of the pirate hitting the captain's ship [tex]=\dfrac{1}{5}[/tex]

If both fire cannons at the same time, the probability that both the pirate and the captain hit each other's ship

=P(Captain Hits AND Pirate Hits)

=P(Captain Hits) X P(Pirate Hits)

[tex]=\dfrac{1}{2} X \dfrac{1}{5}\\\\=\dfrac{1}{10}[/tex]

Answer:

61.76 ft^2

Step-by-step explanation:

First find the area of the rectangle without the circle

A = l*w = 14*8 =112

Then find the area of the circle

The diameter is 8 so the radius is 8/2 =4

A = pi r^2 = 3.14 * 16 =50.24

The shaded region is the rectangle minus the circle

112-50.24 =61.76 ft^2

Answer:

Among mildly obese people, 95% of the people have between 251 and 495 minutes of activity per day.

Among lean people, 95% of the people have between 317 and 733 minutes of activity per day.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Within what limits do the active minutes for 95% of the people in each group fall

By the Empirical Rule, within 2 standard deviations of the mean.

Mildly obese:

Mean = 373, standard deviation = 61.

373 - 2*61 = 251 minutes

373 + 2*61 = 495 minutes

Among mildly obese people, 95% of the people have between 251 and 495 minutes of activity per day.

Lean people:

Mean = 525, standard deviation = 104

525 - 2*104 = 317 minutes

525 + 2*104 = 733 minutes

Among lean people, 95% of the people have between 317 and 733 minutes of activity per day.

Answer:

[tex]192ft^2[/tex]

Step-by-step explanation:

The model of a patio was made by

using 1/2 inch square title=4 square feet.

area represented by the 8 *6 model can be calculated as follows;

FIRSTLY, the number of tiles in the 8 *6 model can be calculated by multiplying it i.e

8 *6 model =[tex]48 tiles[/tex]

Hence there are 48 tiles in 8 *6 model

It was given that 1/2 inch square title=4

square feet.

So to calculate the total Area occupied by the 48 tiles

[tex]Area=1/2×48[/tex]

[tex]Area=24inches^2[/tex]

If [tex]1/2inches^2=4ft^2[/tex] ( from the question)

Let X represent [tex]24inches^2[/tex]

Then, [tex]24inches^2=Xft^2[/tex]

Cross multiply

[tex]4×24=X×1/2

X=4×24×2

X=[tex]192ft^2[/tex]

[tex]24inches^2=[tex]192ft^2[/tex]

Therefore, the area represented by the 8 *6 model is [tex]192ft^2[/tex]

Answer & Step-by-step explanation:

For this problem we can just set up an equation and equal it to 180.

(2y) + (y + 10) + 50 = 180

Combine like terms.

3y + 60 = 180

Subtract 60 from 180.

3y = 120

Divide 120 by 3.

y = 40

So, the value of y is 40°

Answer:

B. 0.0043

Step-by-step explanation:

The null and alternative hypothesis of this one-tailed test are:

[tex]H_0: p_1-p_2=0\\\\H_a:p_1-p_2> 0[/tex]

The output of proportions_ztest method from statsmodels is a size-2 vector with the value of the test statistic and the P-value.

Then, if the output is (3.25, 0.0043), the P-value for this one-tailed test is 0.0043.

Answer:

  24

Step-by-step explanation:

Let t represent the volume of the tank in gallons. Then we have ...

  (1/8)t + 15 = (3/4)t . . . . . . . . . . . adding 15 gallons fills the tank to 3/4

  15 = (6/8 -1/8)t = (5/8)t . . . . . . . subtract 1/8t

  15(8/5) = (8/5)(5/8)t . . . . . . . . . multiply by 8/5 (the inverse of 5/8)

  24 = t

The tank holds 24 gallons.

Answer:

The temperature range is [tex]95^o[/tex] , going from [tex]-45^0[/tex]  to [tex]40^o[/tex]

Step-by-step explanation:

The temperature range is the difference between the maximum and the minimum temperature:

[tex]40^o-(-45^o)=40^o+45^o=95^o[/tex]

The temperature range is [tex]95^o[/tex] , going from [tex]-45^0[/tex]  to [tex]40^o[/tex]

This type of blinding is used to prevent what is referred to as placebo effect in this scenario.

This refers to a situation where some individuals feel improvement in their health when dummy treatment is used.

The subjects not being unaware of the treatment helps to prevent the placebo effect thereby making it the most appropriate choice.

Read more about Placebo effect here https://brainly.com/question/10467057

#SPJ1

Answer:

$350

Step-by-step explanation:

Let d = price of dryer

Then d - 61 is the price of the washer.

The sum of the prices is $639.

d + d - 61 = 639

2d - 61 = 639

2d = 700

d = 350

The price of the dryer is $350

Answer:

Unable to read entire question, but see explanation for answer

Step-by-step explanation:

First, you need to find the unit rate per dog. If it takes 3 dogs 10 days to finish 30 pounds of food, then it takes 1 dog 1 day to finish 1 pound of food. I cannot read the entirety of the question because of the cropping, but you can find how much food a single dog eats in that amount of days by just multiplying by the number of days (say, 1 pound in 1 day, or 3 pounds in 3 days). Hope this helps!

Answer:

1

Step-by-step explanation:

took test

Step-by-step explanation:

10 more than 178.25 is add so

178.25 + 10 = 188.25

Answer:

|5| = 5 and |2| = 2 and because 5 > 2, our answer is |5| > |2|.

Answer:

|5|

Step-by-step explanation:

5 is greater than 2

Answer:

Velocity = 59 feet/second

Step-by-step explanation:

h(t) = 15 + 60t – 16t2

Time t = 1 second

Let's substitute time into the equation to get the distance

h(t) = 15+60(1)-16(1)²

h(t) = 15 + 60 - 16

h(t) = 59 feet

Speed or velocity = distance/time

Distance = 59 feet

Time = 1 second

Velocity = 59/1

Velocity = 59 feet/s

Answer:

5.625 = 45/8 = 5 5/8

Step-by-step explanation:

Answer:

  On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5)

Step-by-step explanation:

The distinction between "straight line" and "blue diamonds" is that the straight line represents the relation for all possible values of x. The blue diamonds show the values of y for very specific values of x.

Since x is the amount of rice from a bulk bin, we assume it can take any non-negative value. Hence, the graphs with negative values or with "blue diamonds" are not appropriate.

The straight-line graph in the first quadrant is the best choice.

Answer:

The answer is graph 1

Step-by-step explanation:

On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).

Answer:

The degree of freedom = 16

Step-by-step explanation:

In conducting hypothesis tests where the population standard deviation isn't known, the t-distribution is used to obtain critical value and p-value of the distribution.

To use the t-distribution, the degree of freedom of the test is usually required.

The degree of freedom refers to the maximum number of independent variables, values or parameters, that are allowed to vary in the sample data.

The degree of freedom for a paired test with the same sample size for the two pairs, is given mathematically as

df = n - 1

where n = Sample size = 17

df = 17 - 1 = 16

Hope this Helps!!!

Answer:

P=80

Step-by-step explanation:

R= 10  

P = R*2 *4

P of a square = 10*2 *4 = 80

Just divide by any fraction of the squares ratio.

ie) if square = 2/3 of the length of the circle then 80 x 2/3 = 53.333...

ie) if square = 3/4 of the length of the diameter of the circle then 80 x 3/4 = 60

As 3/4 pf 10 = 7.5

7.5 * 2  = 15

15* 4 = 60

Howver the square is outside of the circle as described circle inscribed exactly how much if it fits exactly then the length will be same as circles diameter = 10*2 = D;20.

20 *4 = 80. P;80

Etc.

Answer:

The correct answer is letter c. Josh had 24 games and Peter had 32 by the end of the week.

Step-by-step explanation:

We know that Josh has a total of 32 games, while that value is 133% as many as Peter's, therefore the number of games Peter had at the beginning of the week is:

[tex]josh = \frac{133}{100}*peter\\peter = \frac{josh}{1.33}\\peter = \frac{32}{1.33}\\peter = 24.06[/tex]

At the beginning of the week Peter had 24 games. At the end of the week Josh gave Peter 25% of his games, therefore Peter's total is:

[tex]peter = 24 + 0.25*josh\\peter = 24 + 0.25*32\\peter = 24 + 8 = 32[/tex]

While Josh had:

[tex]josh = 32 - 8 = 24[/tex]

The correct answer is letter c.

Answer:

14 ft × 14 ft × 8.75 ft

Step-by-step explanation:

A garbage company is designing an open rectangular container that should have a volume of 1,715 cubic feet.

So we have the length of the container = "x" ft, the width of the container = "y" ft and the height of the container = "z" ft

Therefore the volume of the rectangular container would be:

x * y * z = 1715 ft³

z = 1715 / x * y

The cost of making the bottom of the container is $ 5 per square foot, that is:

5 * (x * y)

Now, area of ​​all sides of the container would be:

2 * (x * z + y * z) = 2 * z * (x + y)

We know that it has been given that the cost of making all the sides of the container is = $ 4 per square foot, so:

4 * (2 * z * (x + y)) = 8 * z * (x + y)

In total the costs would be:

5 * (x * y) + 8 * z * (x + y)

If we replace z, in the previous equation we have:

5 * (x * y) + 8 * (1715 / x * y) * (x + y)

solving, and we would have that the total cost would be:

C = 5 * (x * y) + 13720 / x + 13720 / y

Now we will find the derivative of C and make it equal to zero:

dC / dx = 0; dC / dy = 0

For dC / dx = 0:

dC / dx = 5 * y + 13720 * -1 / (y ^ 2) + 13720 * 0

0 = 5 * y - 13720 / y ^ 2

5 * y = 13720 / y ^ 2

y ^ 3 = 13720/5 = 2744

y = 14

For dC / dy = 0:

dC / dy = 5 * x + 13720 * 0 + 13720 * -1 / (x ^ 2)

0 = 5 * x - 13720 / x ^ 2

5 * x = 13720 / x ^ 2

x ^ 3 = 13720/5 = 2744

x = 14

now for z:

z = 1715 / (14 * 14)

z = 8.75

Therefore, the dimensions of the container should be 14 ft × 14 ft × 8.75 ft to minimize manufacturing cost.

Answer:

D. ​Yes, because the frequencies start​ low, proceed to one or two high​ frequencies, then decrease to a low​ frequency, and the distribution is approximately symmetric.

Step-by-step explanation:

Hello!

The given frequency distribution for temperatures.

To see if the distribution appears to have a normal distribution you have to draw a histogram using the information. Check attachment.

As you can see, the distribution appears symmetric, it starts low and proceeds to grow until it reaches its maximum point (f(4)=13) and then starts to decrease to low frequencies. The right tail decreases a little more than the left one but it is almost symmetrical.

I hope this helps!

Answer:

B. F(x) = 0.4x² - 1

Step-by-step explanation:

→The function F(x) has shifted downwards, meaning there has to be a 1 being subtracted.

→The function F(x) has grown wider, meaning there has to be a number of absolute value less than 1.

This means answer choice, "B," is correct.

Answer:

The answer is B

Step-by-step explanation:

→The function F(x) has shifted downwards, meaning there has to be a 1 being subtracted.

→The function F(x) has grown wider, meaning there has to be a number of absolute value less than 1.

This means answer choice, "B," is correct.

Answer:

odd numbers always end in 1,3,5,7 and 9

odd numbers - 51,23,95,11,67,75,83, and 29

even numbers - 16,32,38,76,62,40 and 80

19p                                  25p                                         16p

9 - 2p , 1 - 1p                   12- 2p, 1- 1p                          5- 2p, 6- 1p

19 - 1p                              10 - 2p, 5- 1p                       6 - 2p, 2- 1p

7- 2p , 5- 1p                    8- 2p, 9- 1p                          4- 2p, 8- 1p

                                       9- 2p, 6- 1p                         6- 2p, 4- 1p

Answer:

18

Step-by-step explanation:

The greatest common factor is 18. All of the common factors are: 1, 2, 3, 6, 9, 18.

Answer:

There is only one greatest common factor of 36 and 90 which is 18. There are also a number of common factors including 1, 2, 3, 6, 9, 18.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Let the number of beanie babies Kaye has be x

according to question

Rachel owns as twice as many beanie babies as Kaye

number of beanie babies Rachel has : 2*x = 2x

Also,

Alexia owns 1/3 as many beanie babies as Rachel

number of beanie babies Alexia has : 1/3(2x) = 2x/3

It is given that Kayes has 63 beanie babies

thus x = 63

Thus,

Number of beanie babies Alexia has = 2x/3 = 2*63/3 =2*21 = 42