That would be option B.
wriiten as below
x^2 + y^2 = 42
- the 42 = the square of the radius of the circle.
Answer:
a = - 2, b = - 1
Step-by-step explanation:
If a polynomial f(x) is divisible by (x + h) then f(- h) = 0
P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is
P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is
- 1 + a - b + 2 = 0
a - b + 1 = 0 ( subtract 1 from both sides )
a - b = - 1 → (1)
P(x) is divisible by (x - 2) thus P(2) = 0 , that is
P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is
8 + 4a + 2b + 2 = 0
4a + 2b + 10 = 0 ( subtract 10 from both sides )
4a + 2b = - 10 → (2)
Solve (1) and (2) simultaneously
Multiply (1) by 2
2a - 2b = - 2 → (3)
Add (2) and (3) term by term eliminating the term in b
6a = - 12 ( divide both sides by 6 )
a = - 2
Substitute a = - 2 into (1) and solve for b
- 2 - b = - 1 ( add 2 to both sides )
- b = 1 ( multiply both sides by - 1 )
b = - 1
Answer:
The answer is D. 62.8
Step-by-step explanation:
I used this formula.
Circumference = 2πr
<span>The customary unit to the length of a car is meter. This is one of the units of the International System (SI). The international units are standards that permit to compare measures made in different places by different persons. Any one will be able to compare the length of a car is you say that it is 3.5 meters long or 5.2 meters long, no matter if that person is in USA or in China. The use of international standards was promoted by the scientific communities as a way to make it possible a better understanding and development of scientific work. </span>
Answer: (47.51, 54.49)
Step-by-step explanation:
Confidence interval for population mean is given by :-
, where n= sample size .
= population standard deviation.
= sample mean
= Two -tailed z-value for (significance level)
As per given , we have
n= 44
Significance level for 95% confidence =
Using z-value table ,
Two-tailed Critical z-value :
Now, the 95% confidence interval for the true population mean textbook weight will be :-
Hence, the 95% confidence interval for the true population mean textbook weight. : (47.51, 54.49)