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Elina [12.6K]
2 years ago
11

A campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 199 like rock,

155 like country, and 114 like jazz. moreover, 24 like rock and country, 23 like rock and jazz, 19 like country and jazz, and 8 like all three types of music. what is the probability that a randomly selected student likes country but not rock?
Mathematics
1 answer:
Ostrovityanka [42]2 years ago
6 0
<span>There are 24 who like both rock and country. There are 8 who like all 3 types, and these eight have been counted under the 24. This means that the number who like rock and country but not jazz is 24 - 8 = 16.
We are given a total of 155 who like country. We subtract the 16 who like both rock and country, and are left with 139 people who like country but not rock. (It does not matter whether they like jazz or not).
The probability is 155 out of the total of 500, so 155/500 = 31/100 = 0.31.
</span>
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Eva invests $6400 in a new savings account which earns 3.4 % annual interest, compounded continuously. What
cupoosta [38]

Answer:

$7821.74

Step-by-step explanation:

Eva invests $6400 in a new savings account which earns 3.4% annual interest, compounded continuously.

We have to find the value of her investment after 6 years,

Now, using the formula for the compound interest we can get the value of her investment.

So, it will be V = 6400 (1 + \frac{3.4}{100} )^{6} = 7821.74 Dollars (Approximate)  

{Rounded to the nearest cent} (Answer)

7 0
3 years ago
As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution
Gennadij [26K]

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution whenever the sample size is large.

<h3>What is the Central limit theorem?</h3>
  • The Central limit theorem says that the normal probability distribution is used to approximate the sampling distribution of the sample proportions and sample means whenever the sample size is large.
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Thus, as a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution when the sample size is large and each element is selected independently from the same population.

Learn more about the central limit theorem here:

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4 0
2 years ago
**FIRST CORRECT ANSWER GETS BRAINLEST**
puteri [66]

Answer:

C.) y = 5/4 x

Step-by-step explanation:

5/4 multiplied by 0.4 is 0.5

7 0
2 years ago
If 3 out of 10 mammalian cell cultures exposed to ultraviolet (UV) radiation developed chromosomal abnormalities while 9 out of
Zina [86]

Answer:

a) Observational Study

b) Risk in observational study

RR = 9/10/3/10 = 3.0

c) Relative risk when exposed to  a common NSAID is 3 out of 10 people

Step-by-step explanation:

A) This is observational study

b) The parameter determined here is the risk in observational study

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c) Relative risk of mammalian cell to develop chromosomal abnormalities when exposed to  a common NSAID is 3 out of 10 people

8 0
3 years ago
The angles in a triangle are such that one angle is 120 degrees more than the smallest angle, while the third angle is 3 times a
Westkost [7]

Answer:

a = 132; b = 12; c = 36

Step-by-step explanation:

a = b + 120

b = b

c = 3b

a + b + c = 180

(substitute these into the above equation)

b + 120   + b    + 3b  = 180

5b + 120 = 180

       -120    -120

5b = 60

/5     /5

b = 12

(substitute b back into the first equations)

a = (12) + 120 = 132

b = (12)

c = 3(12) = 36

(check: 132 + 12 + 36 = 180)

7 0
3 years ago
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