Answer:
0.9861 = 98.61% probability that the weight will be less than 4884 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean weight of 3903 grams and a standard deviation of 446 grams.
This means that
If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4884 grams.
P-value of z when X = 4884. So
has a p-value of 0.9861
0.9861 = 98.61% probability that the weight will be less than 4884 grams.
1/6 divided by 2 is 1/6 multiplied by 1/2
1/6 * 1/2 = 1/12
1/12 of the shingles for the roof will be in each stack.
The square root of 125= 11.18.
This seems to be more of a middle-school-level of a geometry question vs college level.
Either way, what you're doing here is comparing 3 shapes. The square, rectangle, and rhombus. You should definitely know what a square and rectangle look like, but in case you don't know the rhombus, it's the shape that's usually allocated with diamonds, on a 2D plane.
All of these shapes are considered parallelograms. They all have similar features and characteristics, but only to some extent.
Square=Four sides, four 90 degree angles, 2 pairs of opposite congruent angles (meaning all angles are congruent in this case), sum of 360 degrees (90*4)
Rectangle=Four sides, four 90 degree angles, 2 pairs of opposite congruent angles (meaning all angles are congruent in this case), sum of 360 degrees (90*4)
Rhombus= Four sides, Four angles in total measuring up to 360 degrees, 2 acute angles (congruent; less than 90), two obtuse angles (congruent; more than 90). Angle measurements can fluctuate within the 2 acute-2 obtuse parameters. 2 pairs of opposite congruent angles, however, these are not all congruent with each other, unlike the previous two.
All 3 sum to 360 degrees
All 3 have both pairs of opposite angles congruent
All 3 have 4 angles.
~Hope this helps!