Answer:
x = 1,092
Step-by-step explanation:
Duck eggs : chicken heads =
2 : 7
Number of duck eggs = 312
Number of chicken eggs = x
Duck eggs : chicken heads = 312 : x
Equate both ratios
2 : 7 = 312 : x
2/7 = 312/x
Cross product
2 * x = 7 * 312
2x = 2,184
x = 2,184 / 2
= 1,092
x = 1,092
For this Q:
mean=31
st.dev.=0.8
x=32
Calculate z-score:
z=(x-m)/s = (32-31)/0.8=1.25
This z-score value corresponding to the probability of 0.8944
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9514 1404 393
Answer:
-3/5
Step-by-step explanation:
The slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Using the values from the marked points, we have ...
m = (-2 -1)/(2 -(-3)) = -3/5 . . . . it is negative
Answer:
24 units ²
Step-by-step explanation:
In this problem, we are given the circumference of a triangle (after finding the perimeter) and want to find the area of a circle with that circumference. Since the area of a circle is a function based on its radius, we can use the circumference to find the radius to find the area.
First, we can figure out the perimeter of the triangle, which is equal to the sum of its sides. The perimeter is 6+4+7.21 = 17.21 units.
Next, the circumference of a circle is equal to π * diameter = π * 2 * radius. Using 3.14 for π and r for radius, we get
3.14 * 2 * r = 17.21
6.28 * r = 17.21
divide both sides by 6.28 to isolate r
r ≈ 2.74
Furthermore, to find the area from the radius, we can use
area = πr². Plugging 2.74 in for r, we get
2.74² * 3.14 = area
≈23.6, rounding up to 24 units ²