Answer:
57.93% probability that a trip will take at least 35 minutes.
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.
In this problem, we have that:
What is the probability that a trip will take at least 35 minutes
This probability is 1 subtracted by the pvalue of Z when X = 35. So
has a pvalue of 0.4207
1 - 0.4207 = 0.5793
57.93% probability that a trip will take at least 35 minutes.
Answer:
13
Step-by-step explanation:
to find the length between two point you've got to use the formula
√(x2-x1)^2 +(y2-y1)^2
√(-2-3)^2 + (-4-8)^2
√(-5)^2 + (-12)^2
√ 25+144
√169
13
Answer:
Step-by-step explanation:
a) We have 15! as the product of 1 to 15 natural numbers. Since 17 is prime there will be no factor common to these
By actual division we find
15! (mod 17) =16
From this we deduce
even 16! mod 17 = 16 = -1
According to Wilson theorem
(17-1)! = -1 mod 17
Thus verified 17 is prime
Hence 15! (mod 17) =-1=16
-----------------------
b) 2(26!) is divided by 29
Since 29 is prime
(29-1)! = -1 mod 29
28! = -1 mod 29 = 28
When divided this gives 25 as remainder
<span>To determine the answer to this you would divide the numerator by the denominator in an equation. The answer to that equation is 0.125. When converting a decimal to a percentage, you shift the decimal point over two places. Thus the percentage is 12.5% and it is unnecessary to round the result to the nearest hundredth of a percent. The answer is 12.5%.</span>
Answer:
£32.76
Step-by-step explanation:
21/500=0.042
780x0.042 = 32.76
