Answer:
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Step-by-step explanation:
Reduce a 24 cm by 36 cm photo to 3/4 original size.
The most logical way to do this is to keep the width-to-height ratio the same: It is 24/36, or 2/3. The original photo has an area of (24 cm)(36 cm) = 864 cm^2.
Let's reduce that to 3/4 size: Mult. 864 cm^2 by (3/4). Result: 648 cm^2.
We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.
From the first equation we get W = 2L/3. Thus, WL = 648 cm^2 = (2L/3)(L).
Solve this last equation for L^2, and then for L:
2L^2/3 = 648, or (2/3)L^2 = 648. Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.
Taking the sqrt of both sides, L = + 31.18 cm. Then W must be 2/3 of that, or W = 20.78 cm.
Check: is LW = (3/4) of the original 864 cm^2? YES.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The calcium level that is the borderline between low calcium levels and those not considered low is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation 
The proportion of the population with low calcium level is 
5% = 0.05
Let X be a X random calcium level
Now the P(X < c) = 0.05
Here P denotes probability
c is population with calcium level at the borderline
Since the calcium level is normally distributed the z-value is evaluated as
The critical value for 0.05 from the standard normal distribution table is
=> 
substituting values
=> 
=>
Answer:
450 minutes
Step-by-step explanation:
Given
w = 45000 - 100t
Required
Determine how long it'll take to empty the pool
Being empty means there's no water in the pool.
So, we have to set w to 0 to get the value of t
i.e w = 0
Substitute 0 for w in w = 45000 - 100t
0 = 45000 - 100t
Collect Like Terms
100t = 45000
Divide through by 100.
t = 450
Hence, it'll take 450 minutes to empty the pool
Crabs are "alive"
Seashells are just a "shell" as in the hard part of a crab is attached and part of the crab
You eat crabs but not seashells
