Answer: z(e) = 2.07
Step-by-step explanation:
1.-The problem is about a test of proportions. As research company claims than no more 55 % of Americans regularly watch Fox News
The null hypothesis is H₀ P₀ ≤ 0.55 from 55%
And the alternative hypothesis is Hₐ Pₐ > .55
Is one tail test
2.-We have to specify significance level we assume our test will be for a significance level α = 5% or α = 0,05
3.-Calculation of z (c) = ?? and z (e) = '??
For z (c) we find in z table the value of z(c) = 1.64
For z (e) = ( P -P₀)/√p₀q₀/n z(e) = 0.05 / √(0.55*0,45)/425 z(e) = 0,05/ 0.02413 z(e) = 2.07
z(e) > z(c) threfore z(e) is in the rejection zone . We reject null hyothesis
You need to tell me how many large and small packages she’s sending and how much each costs
Answer:
Step-by-step explanation:
2345i91 ksbfis this is the answer
Answer:
m = - 2 is the value of m that the function y= e^mx is a solution of the differential equation, y' + 2y = 0.
Step-by-step explanation:
To determine all values of m so that the function y= e^mx is a solution of the given differential equation.
First, we will find y'.
From, y= e^mx
But, 
Hence,
∴ 
Now, we will put the values of y' and y into the given differential equation y' + 2y =0
From the question,
and
Then, 
becomes
Then, 
∴ 
Hence, m = - 2 is the value of m that the function y= e^mx is a solution of the differential equation, y' + 2y = 0.
Answer:
(2/5, 9/5)
Step-by-step explanation:
To find the solutions, we are given the value of y in terms of x: y = 2x + 1. We can plug this into the circle equation to get:
(x - 1)^2 + (2x + 1 - 1)^2 = 1
Now, we can expand and simplify:
x^2 - 2x + 1 + (2x)^2 = 1
x^2 - 2x + 1 + 4x^2 = 1
5x^2 - 2x = 0
Now, we can factor:
x(5x - 2) = 0
And, using the zero product property, we get two equations which we can solve:
x = 0
5x - 2 = 0
5x = 2
x = 2/5
Since x is 0 in the first solution, we use the other solution and plug it into the equation y = 2x + 1 to find y:
y = 2(2/5) + 1
y = 4/5 + 1
y = 9/5
This means the coordinates of the point is (2/5, 9/5)
