The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The zscore is given a:
z = (raw score - mean) / standard deviation
mean = 225, standard deviation o = 10.
a) For x = 200:
z = (200 - 225) / 200 = -0.125
For x = 220:
z = (220 - 225) / 200 = -0.025
P(-0.125 < z < -0.025) = P(z < -0.025) - P(z < -0.125) = 0.4880 - 0.4483 = 3.97%
b) For x = 190:
z = (190 - 225) / 200 = -0.175
P(z < -0.025) = P(z < -0.175) = 0.4286
The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%
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Answer:
for the first on its a=24 and for the second its a= 48
Step-by-step explanation:
for the first one you have to find the length which is 8 and then you find the width which is 3 then you multiply that to get 24
for the second one you find the base which is the strait line which is 8 then you find the height which is 6 then you multiply it to get 48 i hopes this helped!
Answer:
63
Step-by-step explanation:
Answer:
u need decimals for all of them or u at least use them a lot
Step-by-step explanation:
Answer: The volume of the tetrahedron is 2 units.
Step-by-step explanation:
Let A = (1, 1, 1)
B = (1, 5, 5)
C = (2, 2, 1)
The volume of a tetrahedron is given as
V = (1/6)|AB, AC, AD|
Where |AB, AC, AD| is the determinant of the matrix of AB, AC, AD.
We need to determine AB, AC, and AD
Suppose A = (a1, a2, a3)
B = (b1, b2, b3)
C = ( c1, c2, c3)
AB = ( b1 - a1, b2 - a2, b3 - a3)
Similarly for AB, AC, BC, etc.
AB = (1 - 1, 5 - 1, 5 - 1)
= (0, 4, 4)
AC = (1, 0, 2)
AD = (1, 1, 0)
Volume =
(1/6) |0 4 4|
|1 0 2|
|1 1 0|
= (1/6)[0(0 - 2) - 4(0 - 2) + 4(1 - 0)
= (1/6)(0 + 8 - 4)
= (1/6)(12)
V = 12/6 = 2 units
