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lisov135 [29]
3 years ago
10

the probability that a particular song is played is 76%. What is the probability that this song will be played on exactly 2 days

out of 6 days? Round your answer to the near
Mathematics
1 answer:
guapka [62]3 years ago
7 0

Answer:

0.0287

Step-by-step explanation:

Using the binomial probability relation :

p = 0.76

q = 1 - p = 1 - 0.76 = 0.24

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 6C2 * 0.76^2 * 0.24^4

P(x = 2) = 15 * 0.76^2 * 0.24^4

P(x = 2) = 0.02874507264

P(x = 2) = 0.0287

You might be interested in
Identify the area of a regular decagon with side length 2 m rounded to the nearest tenth
Zina [86]

Answer:

Area = 14.8

Step-by-step explanation:

Area = 5/2 + a^2*sqrt(5 + 2 sqrt(5) )

This formula given the side length, calculates the area.

a = 2

Area = 2.5 + 2^2 * sqrt(5 + 2*sqrt(5) )

Area = 2.5 + 4 * sqrt(5 + 2*2.236)

Area = 2.5 + 4* sqrt(5+ 4.4721)

Area = 2.5 + 4*sqrt(9.4721)

Area = 2.5 + 4*3.0776

Area = 2.5 + 12.3107

Area = 14.8107

5 0
3 years ago
We have five samples of data: sample A with 30 successes of 50 cases, sample B with 600 successes of 1000 cases, sample C with 3
faust18 [17]

Answer:

C. with 3000 successes of 5000 cases sample

Step-by-step explanation:

Given that we need to test if the proportion of success is greater than 0.5.

From the given options, we can see that they all have the same proportion which equals to;

Proportion p = 30/50 = 600/1000 = 0.6

p = 0.6

But we can notice that the number of samples in each case is different.

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size

po = Null hypothesized value

p^ = Observed proportion

Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.

Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis

3 0
3 years ago
What is the value of a in the diagram below?​
adell [148]

Answer:

a=8

Step-by-step explanation:

We can use ratios of similar triangles to solve

The smaller triangle has sides a and 12  and the larger triangle has sides a+a+4  and 12+18  which combine to 2a+4  and 30

a               2a +4

--------- = -----------

12            30

Using cross products

30a = 12(2a+4)

30a = 24a +48

Subtract 24a from each side

30a -24a = 24a-24a +48

6a = 48

Divide each sdie by 6

6a/6 =48/6

a =8

7 0
3 years ago
The concentration of DDT (C14H9Cl5), in milligrams per liter, is:
tatuchka [14]

Answer:

The correct answer is (4) a ratio variable

Step-by-step explanation:

Nominal, ordinal, interval, or ratio data are the four fundamental levels of measurement scales that are used to capture data.  

Nominal scales are used for labeling variables, without any quantitative value.

Ordinal the order of the values is what is significant, but the differences between each one is not really known.

Interval we know both, the order and the exact differences between the values

Ratio they have the order, the exact value between units, and have an absolute zero

In this case,  the concentration of DDT (C14H9Cl5), in milligrams per liter is a RATIO,  because it has order, the exact value between units, and have an absolute zero

3 0
3 years ago
What conjecture can you make about the sum of the first 35 positive even numbers
algol [13]
When the max number is N the sum is = N*(N+1)
the answer is 35*36
4 0
3 years ago
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