You can solve this problem and calculate the arc lenght, by applying the following formula:
s=θr
s: it is the arc lenght.
θ: it is the central angle (θ=2π/3).
r: it is the radius of the circle (r=10 inches).
When you substitute these values into the formula, you obtain the arc lenght (s):
s=θr
s=(2π/3)(10)
Then, you have that the value of the arc lenght is:
s=20.94 inches
Answer:
4 (14.14=142=28)
Because 14 in 7 times-table, 142 in 7 times-table and 28 in 7 times-table.
The answer is 20. Here is why: there are 4 quarts in 1 gallon and you want to know how many there are in 5. So you multiply 4 by 5 and you get 20 quarts.
Hope this helped a lot. ;-)
Answer:
x=2
Step-by-step explanation:
Primero, necesitamos calcular <<a>>
Sabemos que AD=BC y AB=CD porque lados opuestos congruentes
Entonces, vamos a calcular <<a>>.
Usamos AD y BC
2a-1=4a-15
suma 15 a ambos lados
2a+14=4
añada 2 en ambos lados
14=2a
divida
7=a
Ahora, usamos esta información para calcular <<x>>
Usamos CD=AB
2a-8=4x-2
pero sabemos que <<a>> es 7
entonces:
14-8=4x-2
6=4x-2
8=4x
2=x
<<x>> es 2
(¡lo siento mi español no es perfecto!
Answer:
Hence, the minimum required sample size (n) should be = 1692
Step-by-step explanation:
Solution:-
- The estimation error, E = 2%
- The confidence level, CI = 90 %
- Since the proportion of the positive lab tests for prostate cancer are actually proven correct through subsequent biopsy are unknown we will assume the corresponding proportion to be p = 0.58
- The required sample size is a function of confidence value and error of estimation (E):
Where,
- The critical value of the confidence level = 90% would be:
significance level ( α ) = 1 - CI = 1 - 0.90 = 0.1
Z-critical = Z_α/2 = Z_0.05 = 1.645
- The required sample size (n) can be calculated:
- Hence, the minimum required sample size (n) should be = 1692