Answer:
Required Probability = 0.97062
Step-by-step explanation:
We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.
Let X = weight of the newborn baby, so X ~ N(
)
The standard normal z distribution is given by;
Z = 
~ N(0,1)
Now, probability that the weight will be less than 5026 grams = P(X < 5026)
P(X < 5026) = P( < 
) = P(Z < 1.89) = 0.97062
Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .
Area of square/rectangle = length times width
Answer:
The paint will not fill the tray by 10.53 cubic inches.
Step-by-step explanation:
We will find the volume of the paint tray and compare it with the volume of the gallon.
Given dimensions are:
Length = 14 inches
Width = 10 inches
Depth = 4 cm or 
inches
The volume is given by = length x width x depth
Volume = 
cubic inches
Volume of 1 gallon is given as = 231 cubic inches
We can see that volume of 1 gallon is more than volume of tray.
Difference = 
cubic inches.
So, the paint will not fill the tray by 10.53 cubic inches.
Well the thing is you didn't tell us which number but if it is 12 then i strongly believe that the answer is 3/9
Answer:
x = 18 or x = -12.
Step-by-step explanation:
||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12. We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.
