Answer:
Diameter = 9
Step-by-step explanation:
Let the diameter be represented as x.
Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:
(16 + x)(16) = 20²
256 + 16x = 400
Subtract 256 from each side
16x = 400 - 256
16x = 144
Divide both sides by 16
x = 144/16
x = 9
Diameter = 9
Answer:
The answer is below
Step-by-step explanation:
a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packaging box was 40 cm longer than its width and the height 12 cm, volume was at most 4800 cm3. Suppose the length of the new packaging box is still 40cm longer than its width and the height is 12cm, what mathematical statement would represent the volume of the new packaging box?
Solution:
Let the width of the box be x cm.
The length of the box is 40 cm longer than the width, therefore the length of the box = x + 40
The height of the box = 12 cm
The volume of the box can be gotten from the formula:
Volume = length × width × height
Substituting:
Volume = (x + 40) × (x) × 12
Volume = 12x(x + 40)
Therefore the volume of the new box is 12x(x + 40)
Using z-scores, it is found that the value of z is z = 1.96.
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Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean 
and standard deviation 
, is given by:
- It measures how many standard deviations the measure is from the mean.
- Each z-score has an associated p-value, which is the percentile.
- The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
- The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
- The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
- Thus, the value of Z is 1.96.
A similar problem is given at brainly.com/question/16965597
Answer:
500+40+3+.2+.08= 543.28
Step-by-step explanation:
