Test contains 10 three-point questions and 14 five-point questions.
By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.
<h3>How to calculate the length of an arc</h3>
The figure presents a circle, the arc of a circle (s), in inches, is equal to the product of the <em>central</em> angle (θ), in radians, and the radius (r), in inches. Please notice that a complete circle has a central angle of 360°.
If we know that θ = 52π/180 and r = 6 inches, then the length of the arc CD is:
s = [(360π/180) - (52π/180)] · (6 in)
s ≈ 32.254 in
By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.
<h3>Remark</h3>
The statement has typing mistakes, correct form is shown below:
<em>Find the length of the arc EF shown in red below. Show all the work.</em>
To learn more on arcs: brainly.com/question/16765779
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Answer:
The correct answer is Dale is absolutely wrong.
Step-by-step explanation:
When the cake was complete, it had 360°. When the cake is divided into four halves each half now has 90° each.
Three person including Dale is about to eat the one fourth of the cake, divided among them equally.
Thus each friend gets
° = 30° of cake each.
But Dale claims that each piece of cake has an angle measure if 45°, which is a contradiction as each piece is supposed to to be equal.
Thus Dale is WRONG.
Answer:
The probability that X is between 1.48 and 15.56 is 
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 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.
X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.
This means that 
The probability that X is between 1.48 and 15.56
This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So
X = 15.56



has a pvalue of 0.9706
X = 1.48



has a pvalue of 0.0516
0.9706 - 0.0516 = 0.919
Write out the probability notation for this question.

The probability that X is between 1.48 and 15.56 is 
Answer:
$1010.44
Step-by-step explanation:
1500 = X(1 + 0.1/4)¹⁶
X = 1500/(1.025¹⁶)
X = $1010.4374