Answer:
Step-by-step explanation:
1. use distribution factor
(4x+3)(24+5x)
4x times 24 = 96
4x times 5x = 20x
3 times 24 = 72
3 times 5x = 15x
2. combine like terms
96 + 72 = 168
15x + 20x = 35x
35x + 168 or 168 + 35x
I may be wrong please check my answer. I may have a lapse in my algebra, or I may have misunderstood the problem. But this is what I can give you to the best of my knowledge.
Answer:
134.4 centimeters
Step-by-step explanation:
This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).
replace the values in the equation.
83²+x²=158²
get rid of the exponents.
6,889+ x² = 24,964.
subtract 6,889 from 24,964.
x²=18,075.
find the square root on both sides of the equation.
x=134.4432966.
I am assuming you want this rounded to the nearest tenth.
134.4 is your answer.
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The solutions to the questions are given below
a)
sample(n) word length sample mean
1 5,4,4,2 3.75
2 3,2,3,6 3.5
3 5,6,3,3 4.25
b)R =0.75
c)
- The mean of the sample means will tend to be a better estimate than a single sample mean.
- The closer the range of the sample means is to 0, the more confident they can be in their estimate.
<h3>What is the students are going to use the sample means to estimate the mean word length in the book.?</h3>
The table below shows sample means in the table.
sample(n) word length sample mean
1 5,4,4,2 3.75
2 3,2,3,6 3.5
3 5,6,3,3 4.25
b)
Generally, the equation for is mathematically given as
variation in the sample means
R =maximum -minimum
R=4.25-3.5
R =0.75
c)
In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.
They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.
Read more about probability
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You have 20 cookies total in the jar. The probability of choosing an oatmeal is 4/20, and the probability of choosing a peanut butter cookie is 8/20. In order to find the probability of pulling a peanut butter cookie OR an oatmeal cookie, we have to add the probabilities together. 8/20 + 4/20 = 12/20 or 6/10 or 3/5. The answer is C.
Given:
Price of tickets:
3 years ago - 8.75
now - 11
annual multiplier:
b³ = 11/8.75
b = ∛11/8.75
b = 1.079
The annual multiplier is 1.079.
1.079 * 100% = 107.9%
107.9% - 100% = 7.9%
The percentage increase is 7.9%