The format for the equation of a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is your center and r is your radius. All we have to do is substitute the correct values, giving us the equation (x+2)^2+(y-1)^2=4
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The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Z score is given as:
z = (raw score - mean) ÷ (standard deviation/√sample size)
Given mean of 98.6°F, standard deviation is 0.62°F, sample size = 106
For x < 98.5:
z = (98.5 - 98.6) ÷ (0.62÷√106) = -1.66
P(z < -1.66) = 0.0485
The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%
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Answer:
So x = 20
Step-by-step explanation:
AB + BC = AC sum of a segment is sum of its pieces
AB + AB = AC B is the midpoint, so AB = BC
2x + 2x = 3x + 20 putting in for AB (twice!) and AC
4x = 3x + 20 collect like terms
x = 20 subtract 3x on both sides.
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2L = 2000mL
2000mL / 400mL = 5
therefore, each cup is filled exactly half way
There is 200mL in each of the 10 cups.
