The LCD (least common denominator) is the lowest number that both denominators (12 and 5) go into. The lowest number that both 5 and 12 go into is 60. The LCD of the two fractions is 60.
Answer:
475.
Step-by-step explanation:
We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.
We will use z-score formula and normal distribution table to solve our given problem.
Top 60% means greater than 40%.
Let us find z-score corresponding to normal score to 40% or 0.40.
Using normal distribution table, we got a z-score of .
Upon substituting our given values in z-score formula, we will get:
Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.
Answer:
26/3
Step-by-step explanation:
First, you need to turn the fractions from mixed form to improper fractions.
3 1/4 x 2 2/3
13/4 x 8/3
13/4 x 8/3
= 26/3
Answer:
The first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)
d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km
Answer:
x= 0.5
or x= -1.5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x2+4x−3=0
Step 1: Factor left side of equation.
(2x−1)(2x+3)=0
Step 2: Set factors equal to 0.
2x−1=0 or 2x+3=0
x= 1/2 or x= −3/2