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4 years ago

Question:

Mathematics

2 answers:

Ket [755]4 years ago

3 0

Answer:

1 do the division by a draw of their names into 2 teams

2 there might be one group with a higher age and thus a lower chance of being cured and you should know all variables and have control over the project

Step-by-step explanation:

torisob [31]4 years ago

3 0

Answer:

1. There are multiple methods to choosing randomly from a selection. One instance could be choosing names from a hat.

2. Dividing the groups randomly allows for an equal and fair distribution of people for the control and variable groups. The 50 people receiving the drug are the variable group, while the other 50 receiving the placebo are the control group.

Step-by-step explanation:

Random selection is used in testing in order to assure the lack of bias from researchers. In real trials, random selection would likely be done through the company's own software, or an Excel spreadsheet.

Random selection is also used in order to remove lurking variables. An example of a lurking variable could be shown as follows:

A researcher is studying a connection between heart disease and cholesterol intake. Aspects unrelated to the study could still have an effect on the quality of the results, like whether people in the groups smoked or was very stressed. Random distribution assists in removing any lurking variables - and if it can't fully remove them, it will at least distribute them fairly across the control and variable groups.

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Find the value of x in the triangle. to to

gizmo_the_mogwai [7]

Answer:

45 and 45

Step-by-step explanation:

4 0

3 years ago

A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the alg

horrorfan [7]

Answer:

Part A)

A reasonable domain to plot the growth function is:

$0\leq d \leq 12$

Part B)

The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after d days is given by the function:

$f(d)=5(1.02)^d$

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:

$6.34=5(1.02)^d$

Divide both sides by five:

$(1.02)^d=1.268$

Take the log of both sides with base 1.02:

$\displaystyle d=\log_{1.02}1.268$

Using the Change of Base Property, evaluate for d:

$\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12$

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

$0\leq d\leq 12$

Part 2)

The y-intercept of the function is when d = 0. Find the y-intercept:

$f(0)=5(1.02)^{(0)}=5(1)=5$

Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

We want to find the average rate of change of f(d) from d = 4 to d = 11.

Find the endpoints:

$f(4)=5.4121...\text{ and } f(11)=6.2168...$

And find the slope between them:

$\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11$

Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

5 0

3 years ago

A total of 815 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more stud

kvv77 [185]

Answer:

375 Adult Tickets.

Step-by-step explanation:

Here, we can simply set up an equation using variable x in place of the unknown student/adult tickets.

x = # of adult tickets sold

x + 65 = # of student tickets sold.

1) x + x + 65 = 815 (set both ticket amounts equal to the total)

2) 2x + 65 = 815 (added common variables together)

3) 2x = 750 (negated the +65, subtracted it from both sides)

4) x = 375 (divided both sides by 2)

5) 815 - 375 = 440 (subtracted the x from the total number of adult tickets, to recieve the amount of childrens' tickets.

Therefore,

Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.

5 0

3 years ago

A fish dives into a depth of - 3/4 mile below the surface of the water. a turtle's depth is 1/3 as deep as the fish's depth. wha

telo118 [61]

I think the will be 4/4 or 1 whole

4 0

3 years ago

Read 2 more answers

Which ordered pair is a solution to the system of linear equations -4x+y=8 and x-5y=17

photoshop1234 [79]

Answer: -3

Step-by-step explanation:

8 0

3 years ago