6.5X + 9(30) = 8(30+X)6.5X +270 = 240 + 8X270-240 = 8X-6.5X1.5X = 30X = 30/1.5 =20 ounces of $6.50 alloy9 is within 1 of 86.5 is within 1.5 of 81.5 is 3/2 of 130 is 3/2 of 20You know you need more of $9 alloy since it's closer to $8You need exactly 3/2 or 1.5 times more of the $9 alloy30 is 1.5 times 20
The height of the ladder on the building is 19.77 feet
<h3>How high does the ladder reach on the building?</h3>
Represent the height of the ladder on the building with h
So, the given parameters are:
Angle, x = 64 degrees
Length of ladder, l = 22 feet
The height of the ladder on the building is calculated using
sin(x) = h/l
Substitute the known values in the above equation
sin(64) = h/22
Multiply both sides by 22
h = 22 * sin(64)
Evaluate the product
h = 19.77
Hence, the height of the ladder on the building is 19.77 feet
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Answer:
0.1151
Step-by-step explanation:
Given that a laptop company claims up to 10.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 9.5 hours and standard deviation 30 minutes.
If X is the battery life then X is N(9.5, 0.5)
(we convert into one unit for calculations purpose here hours)
a) the probability that the battery life is at least 10.1 hours
=
we get the probability that the battery life is at least 10.1 hours is 0.1151
Find slope
a. (-1,5) (0,0)
0-5/0+1
= -5
b. 4-3/4-3
=1
so a
