9514 1404 393
Answer:
11.9 cm
Step-by-step explanation:
Arc length is given by ...
s = rθ . . . . . . θ is the central angle in radians
Your central angle is 85°, so is (85/180)π radians = 17/36π radians.
Then the arc length is ...
s = (8 cm)(17/36π) ≈ 11.9 cm
The length of the 85° arc is about 11.9 cm.
Answer:
A.) 1^3
Step-by-step explanation:
2^5/2^2
= 1^5 - 2
= 1^3
33 is -8. 34 is 2. 35 is 10. 36 is -5. 37 is -3. 38 is 2.
Using correlation coefficients, it is found that a coefficient of -1 represents a strong negative correlation.
<h3>What is a correlation coefficient?</h3>
- It is an index that measures correlation between two variables, assuming values between -1 and 1.
- If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
- If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
For this problem, we have a correlation coefficient of -1, hence it means that:
- The relation is negative, as -1 is a negative number.
- The relation is strong, as the absolute value of the coefficient is of 1, which is greater than 0.6.
More can be learned about correlation coefficients at brainly.com/question/25815006
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9514 1404 393
Answer:
A) $1350
B) $5850
C) $162.50
Step-by-step explanation:
A) The interest is given by the formula ...
I = Prt
where P is the principal amount, r is the interest rate, and t is the number of years.
I = $4500×0.10×3 = $1350
The interest owed is $1350.
__
B) At maturity, the principal and interest are due. That amount is ...
$4500 +1350 = $5850
The maturity value is $5850.
__
C) If the maturity value is paid in 36 equal monthly installments, each is ...
$5850/36 = $162.50
The monthly payment is $162.50.