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Ksju [112]
4 years ago
10

What is the exact value of tan 30° ? Please write as a simplified fraction.

Mathematics
1 answer:
viva [34]4 years ago
4 0
The answer is 1/sqrt3

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How can 65% be broken down with friendly percents to find 65% of a number?
bogdanovich [222]
I always find 10% of an amount , in your case I would then times the answer by 6. Half 10% and add them together- 10%=? 5%=? 60%=? 65%=?
6 0
4 years ago
Read 2 more answers
Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively.
jeka57 [31]

Answer:

D 200 and 2

Step-by-step explanation:

standard error of the sampling distribution of sample mean is expressed using the formula;

Standard error of the mean = S/√n where;

S is the standard deviation

n is the sample size

Given

S = 18

n = 81

SEM = 18/√81

SEM = 18/9

SEM = 2

The mean of the distribution according to the question is 200.

Hence the mean and the standard error of the sampling distribution of sample mean are 200 and 2 respectively.

8 0
3 years ago
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is
blagie [28]

Answer:

Step 1: True

1. Approximately 2000 families are in the sample.

2. False.

3. 31.2 hours.

4. False.

Step-by-step explanation:

The 55th percentile is greater than or equal to 30 hours.

The median is of 31.2 hours, which means that the 50th percentile is of 31.2 hours. The 55th percentile is above the 50th percentile, and thus, the 55th percentile is greater than 31.2 hours, and thus, also greater than 30 hours, and the statement is true.

1: Approximately how many families are in the sample?

Twenty-four of the families in the sample turned on the television for 20 hours or less for the week. The 12th percentile of the data is 20 hours, and thus 24 is 12% of the sample size n. So

0.12n = 24

n = \frac{24}{0.12}

n = 2000

Approximately 2000 families are in the sample.

2: Based on the given information, determine if the following statement is true or false. Approximately 200 families turned on their televisions for less than 35 hours.

The median, that is, the 50th percentile, is of 31.2 hours.

Thus, 35 hours is above the 50th percentile, which means that more than 1000 families(considerably more than 200) will have turned on their TVs for less than 35 hours, and this statement is false.

3: What is the value of the 50th percentile?

The median, which is of 31.2 hours.

4: Based on the given information, determine if the following statement is true or false.The first quartile is greater than or equal to 20 hours.

20 hours is the 12th percentile, which means that the first percentile is less than 20 hours, and this statement is false.

5 0
3 years ago
Find the distance between (5,5) and (8,1)
Ira Lisetskai [31]

Answer:

5

Step-by-step explanation:

Imagine a triangle with two of the corner points being the points (5,5) and (8,1)

The length and width would be 3 and 4 to find the hypotenuse (distance) do

3^2+4^2=x^2

9+16=x^2

25=x^2

x=5

4 0
3 years ago
Read 2 more answers
An elevator travels310ft in 10 seconds. How far will it travel in 12 seconds
olga nikolaevna [1]

Answer: 372ft

Step-by-step explanation:

310 divided by 10 equals 31.

31 times 12 = 372

And so it is 372 ft

6 0
1 year ago
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