Answer:
3,6,9,12,15,18,21}
B={4,8,12,16,20}
C={2,4,6,8,10,12,14,16}
D={5,10,15,20}
(i) A−B={3,6,9,15,18,21}
(ii) A−C={3,9,15,18,21}
(iii) A−D={3,6,9,12,18,21}
(iv) B−A={4,8,16,20}
(v) C−A={2,4,8,10,14,16}
(vi) D−A={5,10,20}
(vii) B−C={20}
(viii) B−D={4,8,12,16}
(ix) C−B={2,6,10,14}
(x) D−B={5,10,15}
(xi) C−D={2,4,6,8,12,14,16}
Answer:
CI ≈ (173.8 < μ < 196.2)
Step-by-step explanation:
We are told that laboratory tested twelve chicken eggs. Thus;
n = 12
Mean; x¯ = 185 mg
S.D; s = 17.6 mg
DF = n - 1 = 12 - 1 = 11
We have a 95% confidence level. Thus; α = 0.05
Since n < 30, we will use t-sample test.
Thus, from t-table attached at 95% Confidence level and DF = 11, we have;
t = 2.201
Thus,formula for Confidence interval is;
CI = (x¯ - t(s/√n)) < μ < (x¯ + t(s/√n))
CI = (185 - 2.201(17.6/√12)) < μ < (185 + 2.201(17.6/√12))
CI = (185 - 11.1825) < μ < (185 + 11.1825)
CI = (173.8175 < μ < 196.1825)
CI ≈ (173.8 < μ < 196.2)
Answer:
5.66 units
Step-by-step explanation:
base: 8-4 = 4
rise: -3-(-)7 = 4
4^2+4^2 = d^2
d^2 = 32
d=5.66 units
Answer:
Let's find the area of 1 triangle (this may not be the formula but I'm doing it in a more easier way).
20(base) x 10.5(height) = 210
210 divided by 2 ( x 1/2) = 105
Since there are 4 sides we must multiply the area of 1 triangle four times! Since there are 4 sides of triangles.
105 x 4 = 420
Oh and I almost forgot! We need to find the area of the square below!
20 x 20 = 400!
Now we add both areas of all the triangles and the area of the bottom square:
420 + 400 = 820 in2 is your answer. (we use the unit 2 since we are finding areas and adding them up)
Formula of a triangle:
BH x 1/2
B(base) x H(height) x 1/2 (basically just dividing by 2)
Counting by tens is faster than counting by ones because you skip more numbers in between 10 and the next number than just counting by ones
