Answer:
The outer circle is 16 feet larger than the inner circle (68 - 52).
Step-by-step explanation:
Given that the inner circle circumference is 52 feet, and the distance between the inner and the outer circle is 8 feet, to determine by how many ft is the larger outer circle, the following calculation must be performed:
The radius of a circle is equal to half its diameter. Therefore, the radius of the inner circle is 26 feet. Thus, if the distance between the two circles is 8 feet, the radius of the outer circle is 34 feet (26 + 8). Therefore, the diameter of this circle is 68 feet (34 x 2).
This implies that the outer circle is 16 feet larger than the inner circle (68 - 52).
Answer:
-84 + 10i
Step-by-step explanation:
first, you want to take out the negative symbol from the square root, and we know that i = sqrt(-1) (sqrt = square root)
so the equation would look like
i x sqrt(100) - 84
solve for the square root of 100 which is 10
now the equation is
10i - 84
that is the answer and you can flip the equations so it can look like the actual answer
-84 + 10i
Answer:
Step-by-step explanation:
given that Etsy is an e-commerce website focused on handmade or vintage items and supplies, as well as unique factory-manufactured items. A shop owner on Etsy sells printed t-shirts and she wants to know what level of inventory she should maintain for the month of January. She gathers the January inventories of 8 other shop owners who sell printed t-shirts on Etsy. Their t-shirt inventories are listed below.
59 84 90 54 42 45 77 85
a) Mean = total /8 = 536/8 = 67
For median arrange in ascending order
42 45 54 59 77 84 85 90
Middle entries are 59 and 77
b) Median = average of 59 and 77 = 68
c) If highest changes to 100, data set becomes
42 45 54 59 77 84 85 100
sum increases by 10 i.e. 546
Mean = 546/8 = 68.25
Median will not change remain the same = 68
Mean increases and median stays the same
d) If Var = 369.1429
std dev = square root of variance
= 19.2131
e) Part b answer is the II quartile
f) Mean = 67 and median = 68
Mean < median
So negatively skewed shape
Answer:
0.6563 or 65.63% of brook trout caught will be between 12 and 18 inches
Step-by-step explanation:
Mean trout length (μ) = 14 inches
Standard deviation (σ) = 3 inches
The z-score for any given trout length 'X' is defined as:
e interval
For a length of X =12 inches:
According to a z-score table, a score of -0.6667 is equivalent to the 25.25th percentile of the distribution.
For a length of X =18 inches:
According to a z-score table, a score of 1.333 is equivalent to the 90.88th percentile of the distribution.
The proportion of trout caught between 12 and 18 inches, assuming a normal distribution, is the interval between the equivalent percentile of each length:
A
b
x−c=0
Step 1: Multiply both sides by b.
ax−bc=0
Step 2: Add bc to both sides.
ax−bc+bc=0+bc
ax=bc
Step 3: Divide both sides by x.
ax
x
=
bc
x
a=
bc
x
Answer:
a=
bc
x
