Answer:
x = 2 csc(1) y - π/4
Step-by-step explanation:
Solve for x:
y = 1/2 sin(1) (x + π/4)
y = 1/2 (x + π/4) sin(1) is equivalent to 1/2 (x + π/4) sin(1) = y:
1/2 sin(1) (x + π/4) = y
Divide both sides by sin(1)/2:
x + π/4 = 2 csc(1) y
Subtract π/4 from both sides:
Answer: x = 2 csc(1) y - π/4
A) See picture for the table.
To make the table, multiply 47774 by 1.5% to get total that have diabetes and multiply 5855 by 2.5% to get total unemployed that have it, then using subtraction fill in the other squares of the table.
B)
Hypothesis:
H0: No association between employment and diabetes.
H1: Association between the two
Using a graphing calculator or Excel, run a chi-test.
Chi squared equals 31.844 with 1 degrees of freedom.
The two-tailed P value is less than 0.0001
With this information we can reject the null hypothesis and conclude there is an association between diabetes and employment.
C)
Although there is a statistical significance, there really is no practical significance between an incidence rate of 1.5 or 2.5%
(x-1)^3 / 2 = 27
For equations like this, we want to isolate x in order to get the value of it.
First, let's multiply both sides by 2 to eliminate the fraction.
(x-1)^3 = 27(2)
Now, let's take the cube root of both sides
(x-1) = ∛(27 * 2)
Now, simplify the root
x - 1 = 3∛2
Add both sides by 1
x = 1 + 3∛2
That's your answer.
Have an awesome day! :)
Answer:
4445.18 pulgadas cúbicas
Step-by-step explanation:
Paso 1
La fórmula para la circunferencia de una esfera = 2πr
Circunferencia de una esfera = 64 pulgadas
Por eso,
64 = 2πr
Por lo tanto, encontramos r
Dividir ambos lados por 2π
64 / 2π = 2πr / 2π
r = 10.185916358 pulgadas
Radio r = 10.2 pulgadas
Paso 2
Volumen de una esfera
= 4/3 × π × r³
r = 10.2 pulgadas
Por lo tanto, 4/3 × π × (10.2) ³
= 4445.18 pulgadas cúbicas
Por lo tanto, el volumen en pulgadas cúbicas de una esfera = 4445.18 pulgadas cúbicas
