Answer:
(-5 , 6)
Step-by-step explanation:
f(x) = (x - (-5))² - 3 ... vertex (h , k) : (-5 , -3) y = (x-h)² + k
g(x) = -f(x) + 3 = -((x+5)² - 3) + 3 = -(x + 5)² + 6
vertex of g(x) is : (-5 , 6)
Answer:
2yrs
Step-by-step explanation:
Given parameters:
Amount of interest earned = $40
Principal = $400
Interest rate = 5%
Unknown:
Time taken for the money to be in bank = ?
Solution:
The formula for interest is given as:
I =
Where I is the interest
P is the principal
R is the rate
T is the time
So;
100I = PRT
T =
=
= 2yrs
Answer:
I think the answer is$12 - $3 = $9
the amount u need is $9 to have the complete amount u need to purchase the ticket
Answer:
The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
10% of all resistors having a resistance exceeding 10.634 ohms
This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.




5% having a resistance smaller than 9.7565 ohms.
This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.




We also have that:

So





The mean is

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.