Answer:
#7: MK, LS and PR
#8: PN and PQ
#9: no
#10: no
Step-by-step explanation:
#7: lines MK, LS and PR are not intersecting each other, so these lines are parallel each other
#8: between lines PN and PQ is an right angle, so the lines PN and PQ are perpendicular
#9: lines PN and KM have an intesecting point, so they're not parallel
#10: there is no right angle between lines PR and NP
Answer:
<h2>621.207km</h2>
Step-by-step explanation:
We are expected to convert from miles to kilometer
first day 85 miles =136.794km
Second day 125 mile=201.168km
third day 176 miles =283.245km
Total distance covered is
136.794km+201.168km+283.245km=621.207km
Therefore the total distance in kilometer is 621.207km
Answer:
Step-by-step explanation:
f(x)=-2x(sqrt(-4))
-2(3)sqrt(-4)
-6(2i)
-12i
Answer:
a) See step by Step explanation
b) z(s) = 48.88
c) We reject H₀. The sample is not representative of American Adult Population
Step-by-step explanation:
From sample
sample mean . x = 49.28
sample standard deviationn s = 17.21
sample size n₁ = 4857
Population mean according to Census data
μ = 37.2
a) Test Hypothesis
Null Hypothesis . H₀ . x = μ = 37.2
Alternative Hypothesis Hₐ . x ≠ μ
b) We have sample size (4857) we can use normal distribution
z (c) for α = 0.01 α/2 . = 0.005 is from z-table . z(c) = 2.575
To calculate z(s) = ( x - μ ) / s /√n
z(s) = 12.08 * √4857 / 17.21
z(s) = 12.08* 69.64 / 17.21
z(s) = 48.88
z(s) > z(c)
We should reject H₀. The sample is not representative of American Adult population
The answer is 42cm. the area of the rectangle in the middle is 30cm. the area of the triangle on the left is 6cm because the formula is 1/2Bh. B=2 and h=6, so 12/2=6. there are 2 of the triangles however, so you add 30+12=42
