Some rational numbers are not integers. Is The False Option....
C. Zero slope. If it's going straight up and down, there is no slope.
Answer:
ii. 55 degrees.
Step-by-step explanation:
(ii)
Consider the quadrilateral ABCD.
Angle n = 180 - 96 = 84 degrees ( opposite angles of a cyclic quadrilateral are supplementary).
Consider triangle ABC: the 3 angles are supplementary, so
m < j = 180 - 84 - 41
= 55 degrees.
Susan investment = $6000
John investement = $4000
Pria investment = $12000
investment proportion of Susan, John and Pria = 6:4:12= 3:2:6
Hence, Pria share in profit = (6/11)*$12000
= $ 6,545.454
Given:
μ = 197.5 cm, the population mean
σ = 7.98 cm, the population standard deviation
Part a.
For the random variable x = 207.50 cm, the z-score is
z = (x-μ)/σ = (207.5-197.5)/7.98 = 1.253
From standard tables, obtain
P(x < 207.5) = 0.895
Answer: 0.895
Part b.
n = 20, the sample size
σ/√n = 7.98/√(20) = 1.7844
The random variable is x = 196.0 cm
The z-score is
z = (x-μ)/(σ/√n) = (196 - 197.5)/1.7844 = -0.8406
From standard tables, obtain
P(x < 196) = 0.2003
Answer: 0.2003
Part c.
In part b, the sample size of 30 is less than the minimum recommended value of 30.
The reasons why the normal distribution can be used are
(i) the z-score takes the sample size into account because σ is replaced by
σ/√n.
(ii) according to the Central Limit Theorem, sample means are normally
distributed.
