Answer:
s=5
Step-by-step explanation:
2s-4=6
add 4
2s=10
divide by 2
s=5
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:
Your answer choice is correct.
Step-by-step explanation:
The length of the semicircle is ...
s = π·r = π(4 in)
The three sides of the rectangular section total ...
9 in + 8 in + 9 in = 26 in
The sum of these lengths make up the perimeter of the figure:
P = 4π in + 26 in
P = (4π +26) in
Im assuming you mean 20pence? if so its 5 twenty pence in a pound so times 5 by 9 gives you 45
so there are 45 twenty pence in £9
Answer:
A: m<1 = 79 degrees
B: m<1 = 61 degrees, m<2 = 151 degrees, m<3 = 12 degrees
Step-by-step explanation:
A: An exterior angle is equal to the sum of the two opposite interior angles. 27+52 in this case.
B: The sum of the measures of the interior angles in a triangle is 180 degrees.
Since we know the two angles in the right trinagle are 90 and 29 degrees, we add them and subract the sum from 180 which gives us 61 degrees.
Applying what we know from part A, 61 degrees+90 degrees = m<2.
And, since we know m<2 = 151 degrees, we add that and the 17 degrees to then subtract that sum from 180 to get the measure of angle 3 which is 12 degrees.
