Answer:
The number of newborns who weighed between 1614 grams and 5182 grams was of 586.
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.
The mean weight was 3398 grams with a standard deviation of 892 grams.
This means that 
Proportion that weighed between 1614 and 5182 grams:
p-value of Z when X = 5182 subtracted by the p-value of Z when X = 1614.
X = 5182



has a p-value of 0.9772
X = 1614



has a p-value of 0.0228
0.9772 - 0.0228 = 0.9544.
Out of 614 babies:
0.9544*614 = 586
The number of newborns who weighed between 1614 grams and 5182 grams was of 586.
Answer:
Step-by-step explanation:
<CBD is congruent to <ABE by Vertical Angles
<ABC is congruent to <DBE by Vertical Angles
Answer:
-1/2 or x=2
Step-by-step explanation: The first step you need to do in getting your answer is factoring ,you will factor the left side of the equation first:
(2x+1)(x-2)=0
Next, you will set the factors to equal to "0":
2x+1=0 x-2=0
Then you'll proceed to solve the problem using the basic algebraic equation problem solving steps .When you do this you'll be left with answers of x=-1/2 and x=2
Answer: 24.9793
Step-by-step explanation:
Given : The director randomly selects 64 different 24-hour periods and determines the number of admissions for each.
For this sample, he calculated a mean
and a standard deviation of 100.
The 95% confidence interval results in an interval of 
We know that the confidence interval for population mean is given by :_
, where E is the margin of error.
By comparing this to the given interval , we find that the margin of error = 24.9793
Answer: The area is 572.5566
Step-by-step explanation:
27÷2=r=13.5
A=πr²
A=3.1416(π) · 13.5²(r)
A=572.5566