Answer:
68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds
This is the pvalue of Z when X = 8.6 subtracted by the pvalue of Z when X = 6.4. So
X = 8.6
has a pvalue of 0.8413
X = 6.4
has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds
Answer:
x = 10
missing angle = 83°
Step-by-step explanation:
These are supplementary angles meaning they have a sum of 180°.
8x + 3 + 97 = 180
8x + 100 = 180
8x + 100 - 100 = 180 - 100
8x = 80
x = 10
Substitute the value for the variable.
8(10) + 3
80 + 3
83
Answer:
A 846 square inches
Step-by-step explanation:
Use the net:
Rectangle 1: (21 in + 3 in + 21 in + 3 in) by 15 in.
Rectangle 2: 21 in by 3 in
Rectangle 3: 21 in by 3 in
total area = sum of areas of 3 rectangles above.
total area = (48 in * 15 in) + 2(21 in * 3 in)
total area = 720 in^2 + 126 in^2
total area = 801 in^2
Answer: A 846 square inches
Answer:
A = 2167.73 cm²
Step-by-step explanation:
Given that,
A trailer ramp is in the shape of a triangular prism.
the height of the ramp, h = 14 inches
The volume of the ramp, V = 4704 inches²
We need to find the area of the base of the trailer ramp.
The volume of the triangular prism is given by :
A is area of base and h is height
or
A = 2167.73 cm²
So, the area of the base of the ramp is 2167.73 cm².
