Answer: a) -0.2252, b) 0.8219
Step-by-step explanation:
Since we have given that
Sample size n = 100
Probability that candies are blue = p= 0.26
Probability that company claims that it is blue candy = P = 0.27
So, Q = 1-P= 1-0.27 = 0.73
So, Null hypothesis : 
Alternate hypothesis : 
So, the test statistic would be

Since α = 0.05
So, critical value of z = 1.96
p-value = P(Z>Z(calculated)
Using the excel function , we get that

Hence, a) -0.2252, b) 0.8219
Using: A^2+b^2=c^2
A&b= (√10)^2=10
10+10=c^2
20=c^2
(take the square root of 20)
c=2√5
Your answer is D
G(x) = 6x
<span>g(f(x)) </span>
<span>= 6((x^2) - 5) </span>
<span>= (6x^2) - 30
</span>
so its equal to
<span>(6x^2) - 30</span>
Answer:
Step-by-step explanation:
The translation vector < 4, - 2 > means each point is being moved 4 units to the right and 2 units down.
X(0, 3) ------> X' ( 0 + 4, 3 - 2 ) = X'(4, 1)
Y( - 1, 1) ------> Y' ( - 1 + 4, 1 - 2 ) = Y'(3, - 1)
Z( - 3, 4) -----> Z' ( - 3 + 4, 4 - 2 ) = Z'(1, 2)