Answer:
a) 0.0167
b) 0
c) 5.948
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 6.16 ounces
Standard Deviation, σ = 0.08 ounces
We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.
Formula:
a) Standard deviation of 23 bags
b) P( fill volume of 23 bags is below 5.95 ounces)
P(x < 5.95)
Calculation the value from standard normal z table, we have,
c) P( fill volume of 23 bags is below 6 ounces) = 0.001
P(x < 6) = 0.001
Calculation the value from standard normal z table, we have,
If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.
Answer:
Choice C is correct.
Step-by-step explanation:
put point A in (x+1,y-3)
now (-6,4) becomes (-5,1).
put point C in (x+1,y-3)
now (2,1) becomes (3,-2)
put point B in (x+1,y-3)
now (-3,-2) becomes (-2,-5).
The ratio of sides for a 30 : 60 : 90 = 1 : √3 :2.
Note the 90 degrees represent the hypotenuse, which in this case is 30 inches.
<span>1 : √3 :2 = x : y : 30
</span>
To get 1, on the left side, we simply divide 2 by 2
Similarly x = 30/2 = 15.
To get √3, on the left side, we simply multiply 1 by √3
Similarly y = 15 * √3 = 15√3
<span>Therefore the length and width respectively are </span>15 and 15√3 inches<span> </span>
Answer:
about 59.2
Step-by-step explanation:
The problem can be expressed as a proportion:
1000 cc/(33.8 fl oz) = x cc/(2 fl oz)
Multiplying by 2 fl oz, we get ...
x cc = (2000 cc)/33.8 ≈ 59.2 cc
There are about 59.2 cubic centimeters in 2 fluid ounces.
_____
A more accurate conversion factor is 33.814 fl oz/L, which would make the above result round to 59.1 cc.
