Answer:
2587mm^3 approx!
Step-by-step explanation:
first you divide the nut into 6 part(in triangle now, by joining centre to each edge)
let's take one part of the triangular shape then area of that part can be found by using 1/2×base×height
i.e, 1/2×13×15=97.5(mm^2)
now when we consider depth of that traingular part,we will get volume of that part as area×depth
i.e, 97.5×6=585(mm^3)
now volume of all the 6 triangular part is 585×6=3510(in mm^3)
now take circular cavity in consideration, it's volume will be π(7^2)6=923(mm^3) approximately
now reqired volume will be volume of that hexagonal part minus that of circular cavity
=3510-923
=2587mm^3
✌️
Answer:
43in
Step-by-step explanation:
Perimeter = sum of the sides
Perimeter = 11 + 10 + 10 + 12 = 43
Answer:
26.17 cm²
Step-by-step explanation:
Applying,
A = πr²∅/360................. Equation 1
Where A = Area of the sector, r = radius of the circle the sector was formed from, ∅ = angle subtends by the sector at the center of the circle , π = pie.
From the question,
Given: r = 5 cm, ∅ = 120°, π = 3.14
Substitute these values into equation 1
A = 3.14(5²)(120)/360
A = 26.17 cm²
Hence the area of the sector is 26.17 cm²
Answer:
Table 1 = Proportional
y is 7 times x
Table 2 = Not proportional
Step-by-step explanation:
Answer:
a) 2.5% b) 84% c) 95% d) D. The more unusual day is if the stock closed below $185 because it has the largest absolute z-score.
Step-by-step explanation:
For a) b) and c) we will use the empirical rule, so, we can observe the image shown below
a) 211.23 is exactly two standard deviation above the mean, so, the probability that on a randomly selected day in this period the stock price closed above 211.23 is 2.35% + 0.15% = 2.5%
b) 204.11 represents exactly one standard deviation above the mean, so, the probability of being below 204.11 is 50% + 34% = 84%
c) The probability of getting a value between 182.75 and 211.23 is 95%, this because 182.75 is exactly two standard deviations below the mean and 211.23 is exactly two standard deviations above the mean.
d) The z-score related to 208 is 
= (208-196.99)/7.12 = 1.5 and the z-score related to 185 is 
= (185-196.99)/7.12 = -1.7, therefore, the more unusual day is if the stock closed below $185 because it has the largest absolute z-score.
