The little square means 90° and a straight line means 180° so 180 minus 68° minus 90° is 22° which leaves,
1) 112° and since you can flip 68° exacly the same on both sides it is a vertical angle which means
3)68.
4) 90°
Answer:
96.13%
Step-by-step explanation:
181-7=174. 174/181
Answer:
The slope is -2, the intercept is (0, 10)
Step-by-step explanation:
Transform it into slope intercept form:
1/2y + x = 5
2(1/2y + x) = 5(2)
y + 2x = 10
y = -2x + 10
The slope is -2, the intercept is 10
Answer:
a) 0.0228
b) 94.6
Step-by-step explanation:
The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,
a) what is the probability that the sample mean is above 95? (4 d.p.) b)
= x = 95
Hence:
z = 95 - 75/40/√16
= 20/40/4
= 20/10
= 2
Probability value from Z-Table:
P(x<95) = 0.97725
P(x>95) = 1 - P(x<95) = 0.02275
The probability that the sample mean is above 95 to 4 decimal places = 0.0228
b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?
97.5% chance = z score for the confidence interval = 1.96
Hence:
z = (x-μ)/σ/√n
1.96 = x - 75/40/√16
1.96 = x - 75/ 40/4
1.96 = x - 75/10
Cross Multiply
1.96 × 10 = x - 75
19.6 = x - 75
x = 19.6 + 75
x = 94.6
The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6
