Answer:
Z = -1.65
Step-by-step explanation:
Z-score:
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the critical value for the 5% significance level?
One-tailed statistic, so Z with a p-value of 0.05.
Looking at the z-table, this is Z = -1.65, so this is the critical value for the 5% significance leve.
Original equation: x^2 + 3x - 4 = 0
How I solve by factoring is to take term a and c (as in if you were using the quadratic equation), then multiply them together. We want to find two numbers that multiply to equal the product of a x c, but add up to term b.
Term A: x^2 (1)
Term B: -4
1 x -4 = -4
Factors that have a product of -4 and add up to 3: 4, -1
Factored equation: (x + 4)(x - 1) = 0
Set each factored section equal to 0 and solve for x.
x + 4 = 0
x = -4
x - 1 = 0
x = 1
The correct answer is D. x = 1, -4
Hope this helps!! :)
Answer:
She has run 259.18m
Step-by-step explanation:
Since Dianne is running around the circular track, she is running around the perimeter of the circle.
Now, we know that the perimeter of a circle is given by;P = 2πr
Thus the perimeter of the track = total distance that the man travels = 2 x π x 55 = 345.575 meters
Now,since she has run 3/4 of the distance, thus, she has run;
(3/4) x 345.575 = 259.18m
Answer:
1/3(12 + x)
Step-by-step explanation:
Hope it works
Answer:
i think the green line would be the horizontal asymptote cause its like horizontal amd it goes across the graph.
Step-by-step explanation:
