Answer:
Step-by-step explanation:
In leftmost triangle:
opposite side =y
adjacent=a
now, we can use trig formula
now, we can solve for y
In rightmost triangle:
adjacent=b
opposite=y
a+b=15
b=15-a
now, we can use trig formula
now, we can solve for y
now, we can set them equal
and then we can solve for a
now, we can find b
now, we can use trig formula
now, we can find z
we can simplify it
and we get
Answer:
0.2805
Step-by-step explanation:
Given that p = 20% = 0.2, n = 300.
The mean (μ) = np = 0.2 * 300 = 60
The standard deviation (σ) =
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
For x = 57:
For x = 62:
From the normal distribution table, P(57 < x < 62) = P(-0.43 < z < 0.29) = P(z < 0.29) - P(z < -0.43) = 0.6141 - 0.3336 = 0.2805