Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
Answer:
Order 2.
Step-by-step explanation:
H = 2sqrt2
D = 6sqrt3
In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.
In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3
Answer:
10Oz = 7 , 14Oz = 16, 20 OZ = 6
Step-by-step explanation:
There three equations that can be made here based on given data
Let number of 10 Oz cup be x
Let number of 14 Oz cup be y
Let number of 20 Oz cube be z
we can see that
x+y+z=29 ----- (i)
.95x + 1.15y + 1.5z = 34.05 ---- (ii)
10x+ 14y + 20z = 414 ---- (iiI)
We can solve these equations together to get the value of x and y and z (Done through calculator 3 variable equation function)
x= 7
y=16
z=6
