Answer:
The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.
Step-by-step explanation:
When the distribution is normal, we use 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.
A study suggested that children between the ages of 6 and 11 in the US have an average weightof 74 lbs, with a standard deviation of 2.7 lbs.
This means that 
What proportion of childrenin this age range between 70 lbs and 85 lbs.
This is the pvalue of Z when X = 85 subtracted by the pvalue of Z when X = 70. So
X = 85



has a pvalue of 1
X = 70



has a pvalue of 0.0694
1 - 0.0694 = 0.9306
The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.
Answer:
Step-by-step explanation:
Use Pythagorean theorem.
c^2 = a^2+b^2
c^2 = 4^2+6^2
c^2 = 16+36
c^2 = 52
c = √52 = 7.21
Sorry it’s not that neat but I think the answer would be in the exact surd form root 233
Answer: x^2 +6x +2x +36 = X^2 +8x + 36
Step-by-step explanation:
Answer:
picture: the one with the triangle in red on the base (first picture of box)
Equation: a^2 + 11^2 = c^2
Step-by-step explanation:
as we can see for the first one, the equation we see is 20^2 + 8^2 = c^2, so you look for the picture with those numbers on the triangle.
and to find the equation we look at the picture and see that in the triangle the numbers are 11 and a. And we know the equation has to be 11^2 + a^2 = c^2 And see if that equation is there