The predecessor of the number 6,573,800 as given in the task content is; 6,537,799.
<h3>What is the predecessor of the number?</h3>
From the contextual meaning of the word, predecessor, it follows that it means to.find the number right before 6,573,800.
On this note, upon counting of integers, the predecessor of the number 6,573,800 is 6,573,799.
Read more on integers;
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Answer:
The probability that <em>X</em> is less than 42 is 0.1271.
Step-by-step explanation:
The random variable <em>X </em>follows a Normal distribution.
The mean and standard deviation are:
E (X) = <em>μ</em> = 50.
SD (X) = <em>σ</em> = 7.
A normal distribution is continuous probability distribution.
The Normal probability distribution with mean µ and standard deviation σ is given by,
To compute the probability of a Normal random variable we first standardize the raw score.
The raw scores are standardized using the formula:
These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.
Compute the probability of (X < 42) as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that <em>X</em> is less than 42 is 0.1271.
The normal curve is shown below.
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
Perimeter is adding all 4 sides together.
To find the length and width divide total perimeter by 2:
21 / 2 = 10.5
We now know the length of 1 side and the width of 1 side need to equal 10.5.
Since the original piece was a square we also know the width needs to equal 1/2 of the length.
So we have L + 1/2L = 10.5
Add the common terms 1 L + 1/2 L = 1 and 1/2 L
To Find L divide 10.5 by 1-1/2, which equals 7
To find the width subtract 7 from 10.5, which equals 3.5
So the paper is now 3.5 inches by 7 inches.
Answer:
10
Step-by-step explanation:
