Answer:
x = 14
A = 38
B = 71
C = 71
Step-by-step explanation:
Since we have a triangle, the addition of the measure of all the measure of the angles give 180
Thus;
3x-4 + 5x + 1 + 7x-27 = 180
15x-30 = 180
15x = 180 + 30
15x = 210
x = 210/15
x = 14
To get the measure of each of the angles, we substitute for x
A = 3x-4 = 3(14) - 4 = 38
B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71
C = 7x - 27 = 7(14) - 27 = 98-27 = 71
The answer would be 2 times whatever the value of x would be
Step 1: Isolate the absolute value expression.Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.Step 3: Solve for the unknown in both equations.Step 4: Check your answer analytically or graphically.
Answer:
0.35
Step-by-step explanation:
This probability distribution is shown below:
Pitch 1 2 3 4 5
Frequency 15 20 40 15 10
Probability 0.15 0.2 0.4 0.15 0.1
The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)
X is the number of pitches thrown. Therefore:
P(X < 3) = P(X = 1) or P(X = 2)
The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.
P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35
The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35