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vodomira [7]
2 years ago
11

An experimental drug is administered to 80 randomly selected​ individuals, with the number of individuals responding favorably r

ecorded.Does the probability experiment represent a binomial​ experiment?
Mathematics
1 answer:
Solnce55 [7]2 years ago
3 0

Answer:

Yes, because the experiment satisfies all the criteria for a binomial experiment.

Step-by-step explanation:

A binomial experiment has the following criterias,

1. There must be a fixed number of trials

2. Each trial is independent of the others

3. There must be only two outcomes  ( success and failure )

4. The probability of each outcome is same.

Given,

An experimental drug is administered to 80 randomly selected​ individuals, with the number of individuals responding favorably recorded,

The number of trials = 80 ( fixed )

Each individuals is independent,

Total outcomes = 2 ( yes or no ),

Also, the probability of each individual is same,

Hence, the given probability experiment represent a binomial​ experiment.

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A gardener already has four and one over 2 ft of fencing in his garage. He wants to fence in a square garden for his flowers. Th
NikAS [45]
<h2>Answer:</h2>

6\frac{1}{2}<u>, "six and one over two ft".</u>

<h2>Step-by-step explanation:</h2>

Let's considerate the fact that the garden has a <u>square shape</u>.

<h3>1. Finding values of interest.</h3>

Amount of fence that the gardener already has: 4\frac{1}{2} ft.

Length of one side: 2\frac{3}{4} ft.

If one side measures 2\frac{3}{4} ft, and the square garden has 4 sides of equal length, because it's a square, then we must multiply the measure of one side by 4 to find the total length of fence needed:

4*(2\frac{3}{4})=\\ \\4*(2+\frac{3}{4})=\\ \\(4*2)+(4*\frac{3}{4})=\\ \\8+(\frac{12}{4} )=\\ \\8+3=\\ \\11

<h3>2. How much more does he need?</h3>

The gardener already has  4\frac{1}{2} , which equals 4 + \frac{1}{2}. Hence, the difference between the amount needed and the amount that the gardeneralready has will give us the remaining amount required. Let's do that:

11-(4+\frac{1}{2} )=\\ \\11-(\frac{8}{2} +\frac{1}{2} )=\\ \\11-\frac{9}{2}= \\ \\\frac{22}{2} -\frac{9}{2}=\\\\ \frac{13}{2}

<h3>3. Express your result.</h3>

\frac{13}{2} =\\ \\\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{1}{2}= \\ \\6+\frac{1}{2}=\\ \\6\frac{1}{2}

8 0
1 year ago
What number must you multiply both sides of 3/4a=24 by to get equivalent equation a=32??
Mamont248 [21]
4 because 4 times 24 equals 96 then 96 divided by 3 equals 32
3 0
3 years ago
An expression is shown.<br><br> 1608 ÷ 268<br><br> What is the value of the expression?
Eva8 [605]
The answer to this equation is six.
8 0
2 years ago
Read 2 more answers
What is the percent decrease from 145 to 132
Vadim26 [7]
<span>First, subtract 132 from 145, then divide 145 by that answer (13) and you will get : 11.1538461538</span>
4 0
3 years ago
Read 2 more answers
It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation
Makovka662 [10]

Answer:

Test statistic = 2

P-value = 0.0227                                

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $98

Sample mean, \bar{x} = $100

Sample size, n = 100

Population standard deviation, σ = $10

First, we design the null and the alternate hypothesis

H_{0}: \mu = 98\text{ dollars}\\H_A: \mu > 98\text{ dollars}

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{100 - 98}{\frac{10}{\sqrt{100}} } = 2

Now, we can calculate the p-value from the normal table

P-value = 0.0227

 

6 0
3 years ago
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