Answer:
0.6 cups of sugar and 1.25 cups of chocolate chips
Step-by-step explanation:
We can begin to solve this problem with a simple proportion:
= 
= 
(x = the new # of sugar y = new # of chocolate chips)
In order to keep everything proportional, we must abide by the scale factor shown with the the flour.
Basically, if we're going to use three times the amount of flour we actually need, then we need to triple all our other ingredients.
We can see that the scale factor is one half, so
x = 1.2 * 0.5
and
y = 2.5 * 0.5
This means that:
x = 0.6
y = 1.25
This means that he has to use 0.6 (or 3/5) cups of sugar and 1.25 (or 9/8) cups of chocolate chips.
D is the answer
Multiply 15 times 30 and divide by 2.25
Answer:
a) 3.128
b) Yes, it is an outerlier
Step-by-step explanation:
The standardized z-score for a particular sample can be determined via the following expression:
z_i = {x_i -\bar x}/{s}
Where;
\bar x = sample means
s = sample standard deviation
Given data:
the mean shipment thickness (\bar x) = 0.2731 mm
With the standardized deviation (s) = 0.000959 mm
The standardized z-score for a certain shipment with a diameter x_i= 0.2761 mm can be determined via the following previous expression
z_i = {x_i -\bar x}/{s}
z_i = {0.2761-0.2731}/{ 0.000959}
z_i = 3.128
b)
From the standardized z-score
If [z_i < 2]; it typically implies that the data is unusual
If [z_i > 2]; it means that the data value is an outerlier
However, since our z_i > 3 (I.e it is 3.128), we conclude that it is an outerlier.
