Answer:
I think its true
Step-by-step explanation:
We know that
area of the circle=pi*r²
circumference==2*pi*r----------> r=circumference/(2*pi)
circumference=25 1/7 in----> (25*7+1)/7----> 176/7 in
r=(176/7)/(2*22/7)----> r=176/44----> r=4 in
area of the circle is equal to the area of the cake
area=pi*r²---> (22/7)*4²-----> area=50.29 in²
the answer is
50.29 in²
Answer:
32.5%
Step-by-step explanation:
Answer:
x^2 + x + 2 = 0.
Step-by-step explanation:
The discriminant b^2 - 4ac is < 0 for complex roots.
So we can choose appropriate values for a, b and c.
Let b = 1, a = 1 and c = 2 so b^2 - 4ac = 1 - 4*1*2 = -7.
So our equation is:
x^2 + x + 2 = 0.
You're going to have to work out the z-scores of both values in each option and see if it makes sense.
n = m + sz
The mean is 20 and the standard deviation is 3.
So let's find try the z-scores of the outer range values and determine their probabilities:
from 14-20:
n = m + sz
20 = 20 + 3z and 14 = 20 + 3z
0 = 3z and -6 = 3z
z = 0 and z = -2
So now using a z-score table, such as the one below, find the probabilities.
z = 0 is easy, it's 0.5
z = -2 is 0.02275
Subtract the smaller from the larger to get the probability of getting in the range:
0.5 - 0.02275 = 0.47725 (so times 1000, you get 477.25, which is not about 340, so this option is wrong)
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Now trying option 2, from 17-29:
n = m + sz
29 = 20 + 3z and 17 = 20 + 3z
9 = 3z and -3 = 3z
z = 3 and z = -1
0.99865 - 0.158655 = 0.839995 (not 680, so not the answer)
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Now trying option 3, from 20-23:
n = m + sz
23 = 20 + 3z and 20 = 20 + 3z
3 = 3z and 0 = 3z
z = 1 and z = 0
0.841345 - 0.5 = 0.341345 (close to 340, so is your answer)