Answer:
summary
Step-by-step explanation:
Answer:
19 nails
Step-by-step explanation:
Let's first determine the z-score by using the formula:

Where x=5.03, μ=5, σ=0.03 and so:

We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.
Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

And so 19 out of the 120 nails are greater than 5.03 inches long.
the place value of the 9 is the ten thousandths
We know that
<span>The regular decagon can be divided into 10 congruent triangles
</span>so
area regular decagon=10*[area of one triangle]
area triangle=b*h/2
where
b=3.25 m
h is the aphotem
h=5 m
area=3.25*5/2----> area=8.125 m²
area regular decagon=10*[8.125]----> 81.25 m²
Area=81.3 m²
the answer is
81.3 m²
Answer:
(x+2)^2 + (y+10)^2 = 100
Step-by-step explanation:
y = 6x + 2
Z(-2,0)
x = -2
y = 6 x (-2) + 2
y = -12 + 2
y = -10
M(-2, -10)
r = 0 - (-10) = 10
(x + 2)^2 + (y + 10)^2 = 100