MATHEMATICS COLLEGE

Determine whether or not the given procedure results in a binomial distribution. For those that are not binomial, identify at least one requirement that is not satisfied.a) Treating 863 subjects with Lipitor (Atorvastatin) and recording whether there is a "yes" response when they are each asked if they experienced a headache.
b) Treating 863 subjects with Lipitor (Atorvastatin) and asking each subject "How does your head feel?"
c) Twenty different Senators are randomly selected from the 100 Senators in the current Congress, and each was asked whether he or she is in favor of abolishing estate taxes.
d) Fifteen different Governors are randomly selected from the 50 Governors currently in office and the sex of each Governor is recorded.

Answers

Answer 1
Answer:

Answer:

a

This procedure results in a binomial distribution

b

This procedure would not results in a binomial distribution

c

This procedure results in a binomial distribution

d

This procedure would not results in a binomial distribution

Step-by-step explanation:

A procedure must meet the following requirement in order for it to result in a binomial distribution

  •     The procedure trials must be independent
  •      Outcome of individual trials can be classified into two categories
  •       Success probability must remain the same in all trials
  •      The number of trials is fixed

Considering  the first procedure we can see that it satisfies the requirement of  above especially the requirement that the possible outcome of every trial is two

Considering the second procedure we see that would not results in a binomial distribution because the outcome of it trials cannot be classified into two categories

Considering  the third procedure we can see that it satisfies the requirement of  above especially the requirement that the trial must be independent

Considering the second procedure we see that would not results in a binomial distribution because there is no defined probability of success or failure

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The image of a parabolic lens is traced onto a graph. The function f(x) = 1/4 (x+8)(x-4) represents the image. Atwhich points does the image cross the x-axis?

O (-8, 0) and (4,0)
(8,0) and (-4, 0)
O (2, 0) and (-1,0)
O (-2, 0) and (1, 0)

Answers

The image of the parabolic lens crosses the x axis at the points

(-8, 0) and (4, 0)

How to find the points where the image cross x axis

To find the points where the graph of the function crosses the x axis we need to find the values of x that make f(x) equal to zero

hence we have that

f(x) = 1/4 (x + 8) (x - 4)

0  = 1/4 (x + 8) (x - 4)

x + 8 = 0

x = -8

OR

x - 4 = 0

x = 4

hence we can say that the image of the parabolic lens crosses the x axis at the points (-8, 0) and (4, 0)

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-x + 3y = 3

x - 3y = 3

Does this system have a solution?

Answers

Answer:

No solution

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write out systems of equations

-x + 3y = 3

x - 3y = 3

Step 2: Rewrite equations into slope-intercept form

3y = 3 + x

y = 1 + x/3

-3y = 3 - x

y = -1 + x/3

Step 3: Rewrite systems of equations

y = x/3 + 1

y = x/3 - 1

Since we have the same slope for both equations but different y-intercepts, we know that both lines are parallel. If that is the case, they will never touch or intersect each other. Therefore, we have no solution.

Solve for x
Logx-log(x+13)=1

Step by step explanation please

Answers

Answer:

Step-by-step explanation:

Applying logarithm rule

Log A - Log B= Log(A/B). Division rule

Now, Logx-log(x+13)=1

Log(x/(x+13))=1

Assume that the log is a natural log whose base is 10.

Then apply logarithm law

Log10 base 10=1

Comparing this to Log(x/(x+13))=1

This implies that

x/(x+13)=10

x=10(x+13)

x=10x+130

x-10x=130

-9x=130

x=130/-9

x=-14.444

Which sentence best describes the interval [-2,1]

Answers

The best sentence that describes the interval [-2, 1] implies that the function is increasing on the interval [-2, 1].

What is a cubic polynomial function?

A cubic polynomial function is a polynomial function whose power is at 3°. It has a general formula f(x) = ax³ + bx² + cx + d.

where;

  • a, b, c, and d are real numbers, hence a ≠ 0.

If the data given in the table is represented on the graph, we can see that the data value proceeds in increasing order from negative to positive, as such:

The best sentence that describes the interval [-2, 1] implies that the function is increasing on the interval [-2, 1].

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Answer:

The function is increasing on the interval [-2,1]

Step-by-step explanation:

What is the value of P+Q+R+S?

Answers

The question is not clear at all

A television station is interested in predicting whether or not voters are in favor of an increase in the state sales tax. It asks its viewers to phone in and indicate whether they support or are opposed to an increase in the state sales tax in order to generate additional revenue for education. Of the 2633 viewers who phone in, 1474 (55.98%) are opposed to the increase. The sample obtained is ____(A) all people who will vote on the sales tax increase on the data of the vote.
(B) the 1474 viewers were opposed to the increase.
(C) the 2633 viewers who phoned in.
(D) all regular viewers of the television station who own a phone and have participated in similar phone surveys in the past.

Answers

Answer: (C) the 2633 viewers who phoned in.

Step-by-step explanation:

In statistics , a sample is a countable subset of a large population that represents the entire population.

Given : A television station is interested in predicting whether or not voters are in favor of an increase in the state sales tax.

It asks its viewers to phone in and indicate whether they support or are opposed to an increase in the state sales tax in order to generate additional revenue for education.

Of the 2633 viewers who phone in, 1474 (55.98%) are opposed to the increase.

i.e. 1474 out of 2633 viewers opposed to the increase.

Clearly , 2633 viewers are representing the entire population of viewers.

Hence, the sample obtained is the 2633 viewers who phoned in.
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