It is given that 
.
Now, know that in 180 degrees there are 
radians. This can be written as:
radians
radians (dividing both sides by 180)
Thus, to find the measure of the given angle of 
in radians, we will have to multiply the above equation by 135. Thus, we get:
radians
radians
Thus, equivalent to the radian measure of angle a is 2.356
Answer:
a) The expected number of questions that are answered correctly by both A and B = 11 (7 + 4).
b) The Variance of the number of questions that are answered correctly by either A or B = 2.25.
Step-by-step explanation:
Number of questions in the examination = 10
Probability of A's answer being correct = 0.7
Probability of B's answer being correct = 0.4
The expected number of questions that are answered correctly by both A and B:
Probability of Expected
Correct Answer Value Variance
A 0.7 7 (0.7 * 10) 2.25
B 0.4 4 (0.4 * 10) 2.25
Total expected value = 11
Mean = 5.5 2.25
The students would show no regard for the money being spent because it is not their money
Answer:
1 cup = 48 teaspoons
C = 48t
Step-by-step explanation:
Given:
1 tablespoon = 3 teaspoons
1 cup = 16 tablespoon
Write an equation that represents the number of teaspoons, t, contained in a cup, C.
Since
1 tablespoon = 3 teaspoons
And
1 cup = 16 tablespoon
Then
1 cup = 3 teaspoons × 16
1 cup = 48 teaspoons
Let
cup = C
Teaspoons = t
Therefore,
C = 48t
A. 2x3=6 and 6x12=72 so 78 is greater than 36
6+72=79 which is less than 90
