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Evgesh-ka [11]
3 years ago
12

It is believed that 43% of the US population can play the piano, 28% can play the guitar, 15% can play the harmonica, 12% can pl

ay the drums, and 2% can play other instruments. You want to take a simple random sample of individuals to test this claim. What is the smallest number of people required for the sample to meet the conditions for performing inference
Mathematics
1 answer:
melomori [17]3 years ago
6 0

Answer:

The smallest sample size to satisfy the conditions is n=500.

Step-by-step explanation:

The condition for performing the inference related to the sample size is that, for all the categories, the expected success and failures in the sample are at least 10:

np\geq10\\\\n(1-p)\geq10

The largest sample size required will be for the minimum p or (1-p).

This happens to be the proportion that can play other instruments: 2%.

Then, we can calculate the minimum sample size as:

np\geq10\\\\n(0.02)\geq10\\\\n\geq(10/0.02)\\\\n\geq500

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Robin works as a customer service representative. She knows that the
dimaraw [331]

Answer:

multiply -1.25 x 12

Sense a negative and a positive will always be negative when dealing with multiplication you'll get -15

now -15 +651= 636

always take the sign of the biggest number.

8 0
3 years ago
lauren wants to keep her cell phone bull under $60 per month. Her current cell phone plan is $30 per month plus $0.50 per text.
stellarik [79]

Answer:

The correct answer is t < 60.

Step-by-step explanation:

Lauren wants to keep her cell phone bill below $60 per month.

Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.

Let Lauren sends t texts in a complete month.

Total money spent on texts in a month is given by $ (0.50 × t)

Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).

But this amount should be under $60 as per as the given problem.

∴ 30 + (0.50 × t) < 60

⇒ (0.50 × t) < 30

⇒ t < \frac{30}{0.50}

⇒ t < 60.

So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.

8 0
3 years ago
Evaluate the expression when =y−7.<br> y^2+4y-5
Sophie [7]
(-7)^2 + 4(-7) -5
= 49 - 28 -5
= 16
5 0
3 years ago
A presidential candidate plans to begin her campaign by visiting the capitals in 44 of 4343 states. what is the probability that
QveST [7]

If the 4 states have to be in a specific order say ABCD, then the total number of different possible routes is:

 43P4 = 2,961,840

So the probability is:

1 / 2,961,840 = 3.38 x 10^-7

 

But if the 4 states can be in any order such as DBAC, ACBD etc, then the total number of different possible routes is:

 43C4 = 123,410

So the probability is:

1 / 123,410 = 8.1 x 10^-6

 

No I don’t think it is practical to list all the different possible routes to select the one that is best. We can simply use mathematical models to solve for that one.

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4 0
3 years ago
Part A: Joseph runs 212 miles on Monday. Each day after that, he runs the same 113 mile route every morning. His goal is to run
Natalija [7]

Answer:   325

Step-by-step explanation        212 + 113 = 325

5 0
3 years ago
Read 2 more answers
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