Answer:
3yrs
Step-by-step explanation:
Given parameters:
Capital = $700
Percentage interest = 4% per annum
Unknown:
Time it will take for amount to be = $784
Solution:
To find the simple interest on an amount;
I =
P is the principal
R is the rate
T is the time
I is the interest
Insert the parameters:
I =
I = 28T
So;
At the end of the duration:
Principal + Interest = Amount
700+28T = 784
28T = 784 - 700
28T = 84
T = 3yrs
Answer:
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
Mean of 3 cm and a standard deviation of 0.04 cm.
This means that
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So
has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Answer:
x=60°
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