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Wewaii [24]
3 years ago
7

HELP :Write the expression as the sine or cosine of an angle.

Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Answer:

sin(4π/21)

Step-by-step explanation:

Step 1: Rearrange expression

sin(π/3)cos(π/7) - cos(π/3)sin(π/7)

Step 2: Use sin(A ± B)

sin(π/3 - π/7)

Step 3: Evaluate

sin(4π/21)

And we have our answer!

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The value of the correlation coefficient is always in the range<br> a. 0 to 1 b. 1 to 1 c. 1 to 0
dlinn [17]

Answer:

-1 to 1

Step-by-step explanation:

The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.

7 0
3 years ago
A dentist selected 16 patients at random from a population of more than 1000 patients and asked them how many times the patient
tankabanditka [31]
The mode is the number that apppers the most on any graph.

0 appears twice
1 doesn't appear at all
2 appears once
3 appears once
4 doesn't appear at all
5 appears four times
6 appears three times
7 appears five times
8, 9, or 10 do not appear on the graph at all

So to find the mode we find the number that appears on the graph the most, the number that appears on the graph the most is 7, it appears 5 times, so 7 is the mode of this graph.
6 0
3 years ago
Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year
NeX [460]
There are two types of interest: Simple interest and compounding interest:

Simple interest: F = P(1+in)
Compounding interest: F = P(1+i)ⁿ

The compounding interest is always bigger than simple interest for a given amount of n time. The effective interest rate is

Effective interest rate = 1.5%/year * 1 yr/12 months = 0.125% per month

Since there are 12 months in 1 year, n= 12. Then i = 0.125/100 = 0.00125

Difference = Compounded Interest - Simple Interest
Difference = P(1+i)ⁿ - P(1+in) = 1000(1+0.00125)¹² - 1000(1+0.00125*12)
Difference = $0.104

You will only have $0.104 more money than the simple interest.
3 0
3 years ago
Point
inn [45]

Hey there! :)

Answer:

A. x = 5.

Step-by-step explanation:

Starting with:

4x + 1 = 21

Subtract 1 from both sides:

4x + 1 - 1 = 21 - 1

4x = 20

Divide both sides by 4:

4x/4 = 20/4

x = 5.

8 0
3 years ago
Read 2 more answers
Oman said that it is impossible to raise a number to the power of 2 and get a value less than the original number.Do you agree w
disa [49]
That’s false, if you raise a number that’s less than 1 to the second power, you’d get a lesser number.
For example, if you raise 1/2 to the second power, you’d get 1/4
3 0
3 years ago
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