Answer: 1.960
Step-by-step explanation:
The value of z we use to calculate a confidence interval with a (
) confidence level is a two-tailed test value i.e. represented by :-
Given : The level of confidence: 
Then, significance level : 
With the help of standard normal distribution table for z , we have
Hence, the value of z should be used to calculate a confidence interval with a 95% confidence level =1.960
Answer:
4.12
Step-by-step explanation:
A^2+b^2=c^2 so 8^2+b^2=9^2 so 64+b^2=81 so b^2=17 so b=4.12
Answer:
axis of symmetry x=3/2
vertex (3/2, 0)
Step-by-step explanation:
to find the axis of symmetry we use h = -b/2a
where ax^2 + bx+c
h = -(-12)/2(4)
h= 12/8
h = 3/2
the axis of symmetry is x = 3/2
the x coordinate of the vertex is h x=3/2
to find k, the y coordinate of the vertex, substitute x=3/2 into the equation
y=4x^2-12x+9
y=4(3/2) ^2-12(3/2)+9
= 4 (9/4) - 6*3 +9
= 9-18+9
= 0
the vertex (3/2, 0)
He can use:
a quarter and a dime (difference: 15)
a quarter and two nickels (difference: 20)
a dime and three nickels (difference: 5)
two dimes and a nickel (difference: 5)
Answer:
Step-by-step explanation:
