Answer:
0.89736
Step-by-step explanation:
We solve this question using z score formula
Z score = x - μ/σ
x = raw score
μ = population mean
σ = population standard deviation
Hence,
x = 258, μ = 220, σ = 30
Z = 258 - 220/30
=1.26667
Probability value from Z-Table:
P(x<258) = 0.89736
Therefore, the probability that his weights is less than 258 kg is 0.89736
As for this problem, it would be best to approach this with a ratio to ratio approach. This would then involve the equation with fractions which is the common conversion from ratios to easily solve the problems concerning these. The equation then would look somehow like this:
0.01 miles / 1 hour = x miles / 2.4 hours
The easiest way would be just to multiply the numerator, which is the miles, to 2.4. So when it is multiplied to the numerator, the equation then would turn to:
0.01 miles x 2.4 / 1 hour = x miles / 2.4 hours
0.024 miles would be the answer.
Given:
The inequalities are:
or 
To find:
The solution for the given inequalities and graph the solution.
Solution:
We have,
or
Solve the above inequalities separately.
Divide both sides by -5.
...(i)
And,
Divide both sides by 2.
...(ii)
From (i) and (ii). we get
or
The interval notation of the solution is 
.
The graph of the solution is shown below.
Answer:
12 < x
Step-by-step explanation:
In writing 12 less than a number x, the expression, 12 - x is wrong because "less than" is not the same thing as "minus" (-). Rather, the sign, "<" should have been used as follows:
12 < x.
The greatest common factor of 20 and 30 is 10. This is because 10 is the largest number that when it is used to divide 20 or 30, it equals a whole number.
The simple way for us to solve is to write down the factors of both numbers, find the factors that match for both numbers, and see which is the largest out of those that match.
20: <u>1</u>,<u>2</u>,4,<u>5</u>,<u>10</u>,20
30: <u>1</u>,<u>2</u>,3,<u>5</u>,6,<u>10</u>,15,30
Using that logic, we can see that 10 is the greatest factor that the numbers share.
