The measure of angle EBF where he angle measures are given as m∠ABF = (8w − 6)° and m∠ABE = [2(w + 11)] is m∠EBF = 4w - 28
<h3>How to determine the
measure of
angle EBF?</h3>
The angle measures are given as
If m ∠ A B F = ( 8 w − 6 ) ° m ∠ A B E = [ 2 ( w + 11 ) ] ° m ∠ E B F
Rewrite the angle measures properly.
This is done, as follows
m∠ABF = (8w − 6)°
m∠ABE = [2(w + 11)]
The measure of angle m∠EBF is calculated as:
m∠ABF = m∠ABE + m∠EBF
Substitute the known values in the above equation
8w - 6 = 2(2w + 11) + m∠EBF
Open the brackets
8w - 6 = 4w + 22 + m∠EBF
Evaluate the like terms
m∠EBF = 4w - 28
Hence, the measure of angle EBF where he angle measures are given as m∠ABF = (8w − 6)° and m∠ABE = [2(w + 11)] is m∠EBF = 4w - 28
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The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
<h3>What is normally distributed data?</h3>
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The times of the runners in a marathon are normally distributed, with
- Mean of 3 hours and 50 minutes
- Standard deviation of 30 minutes.
Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.
The probability of runner selected with time less than or equal to 3 hours and 20 minutes,
Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
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Answer:
10 dollars minus 2.50 is 7.50. 7.50 divided 1.75 and you get 4 candy bars
Step-by-step explanation:
The cost of the gasoline in US dollars is $53.24.
<h3 /><h3>Definition of exchange rate</h3>
Exchange rate is the rate at which one currency is exchanged for another currency. In this question, $1 would be exchanged for 1.26 Canadian dollars.
<h3>Conversion of 15 gallons to liters</h3>
In order to convert 15 gallons to liters, multiply 15 by 3.79
15 x 3.79 = 56.85 liters
<h3>Total cost of of 56.85 liters in Canadian dollars </h3>
56.85 liters x C$1.18 = C$67.083
<h3>Total cost in US dollars</h3>
C$67.083 / 1.26 = $53.24
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