Answer:
The testing statistic is -2.237
Step-by-step explanation:
Test statistic (z) = (sample mean - population mean) ÷ (population standard deviation/√n)
sample mean = 6.3 ounces
population mean = 6.4 ounces
population standard deviation = 0.2 ounces
n (sample size) = 20
z = (6.3 - 6.4) ÷ (0.2/√20) = -0.1 ÷ 0.0447 = -2.237
Solution:
As, we have to find ,
% of 20

If we have to Percent of a certain number it means , divide that number by 100 , for example x% means
.
And if i am writing , x% of y it means ,
.
Answer:
Cartesian Equation: y = √(1 - x^2)
Graph: Second one
Step-by-step explanation:
x^2 = sin^2(θ/2),
y^2 = cos^2(θ/2),
According to that theory, by the circle equation, x^2 + y^2 = 1^2.
When θ = -π, x = sin(-π/2) = - 1, and y = cos(-π/2) = 0
When θ = π, x = sin(π/2) = 1, and y = cos(π/2) = 0
The radius is 1 in this case, (x^2 + y^2 = r^2 -> x^2 + y^2 = 1^2 -> x^2 + y^2 = 1) as the semicircle ranges from (- 1, 0) to (1,0). Therefore your graph is the second one;
When theta = 0, x = sin 0 = 0, and y = cos 0 = 1, so the semicircle passes through (0, 1). To determine the equation, let's simply isolate "y" in the equation x^2 + y^2 = 1^2,
In Cartesian form, the equation is y = √(1 - x^2)