How to find the reference angle of -11pi/3 ?

Answers

Answer 1

Answer: $- (11 \pi )/(3) \n \n =- (11*180)/(3) \n \n =- (1980)/(3)$

$=-660$ °

= 60 °

Answer 2

Answer: Just replace π by 180°

$\boxed{-(11\pi)/(3)=-(11*180)/(3)=-660^o=60^o}$

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If all four sides of an quadrilateral measure the same length, and one corner angle measures 90 degrees, circle the shape that the quadrilateral can b classified asRhombus
Square
Rectangle
Parallelogram
All the above

Answers

Answer:

All of the above

Step-by-step explanation:

ALL of the above quadrilaterals have all these characteristics.

A coin was flipped 150 times. The results of the experiment are shown in the following table:Heads Tails
90 60

Which of the following best describes the experimental probability of getting heads?
It is 10% higher than the theoretical probability.
It is 10% lower than the theoretical probability.
It is equal to the theoretical probability for this data.
The experimental probability cannot be concluded from the data in the table.

Answers

Answer:

The statement that best describes the experimental probability of getting heads is:

It is 10% higher than the theoretical probability.

Step-by-step explanation:

We know that the theoretical probability of getting head is: 0.5

and the theoretical probability of getting tail is: 0.5

Also, the results of experiments are:

Heads Tails

90 60

This means that the experimental probability of getting head is: 90/150=3/5=0.6

and the experimental probability of getting tail is: 60/150=2/5=0.4

Hence, the experimental and theoretical probability of getting head is not same or equal.

Also, the experimental probability of getting head is more than the theoretical probability of getting head and the percent increase is calculated as:

$(0.6-0.5)* 100\n\n\n=(0.1)* 100\n\n=10\%$

Answer:

Its 10% higher than theoretical

Step-by-step explanation:

90/150 x 100= 60%

60-50=10

1)In a sample of 100 households, the mean number of hours spent on social networking sites during the month of January was 50 hours. In a much larger study, the standard deviation was determined to be 6 hours.
Assume the population standard deviation is the same. What is the 98% confidence interval for the mean hours devoted to social networking in January?

2)Two studies were completed in Florida. One study in northern Florida involved 2,000 patients; 64% of them experienced flu-like symptoms during the month of December.
The other study, in southern Florida, involved 3,000 patients;
54% of them experienced flu-like symptoms during the same month. Which study has the smallest margin of error for a 95% confidence interval?

Answers

So the following is the answer of the following question in your problem and please do not post to many question in just one posting.
#1 The 98% confidence interval for the mean hours is between 6 and 50.
#2 The smallest margin of error between the two is southern florida with 1.8% margin of error.

60/30 in simplest form

Answers

$(60)/(30) =2$

How to write 25/4% as a decimal

Answers

First let's reduce 25/4

25/4 = 6 1/4

Now we can convert 1/4 to hundredths

6 1/4 = 6 25/100

Now just rewrite 25/100 according to place value (twenty-five hundredths is .25)

6 25/100 = 6.25

Now don't forget we are still in percentage (25/4% = 6.25%)

convert to decimal by dividing by 100 ( move decimal 2 places to the left).

6.25% = .0625

To write 25/4 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 25 by 4 what we write down as 25/4 and we get 6.25
And finally we have:
25/4 as a decimal equals 6.25

3. Length of a cubic container is 20 cm .A cube with a length of edges 5 cm will be used to take some water from a water barrel. Determine the maximum number of cubes that need to use to fill the container with water.

Answers

We have l = 20 * 20 * 20 = 8000 cm3

One cube will have l = 5 * 5 * 5 = 125 cm3

-> The maximum number of cubes that need to use to fill the container with water is 8000 / 125 = 64

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