Answer:
correct answer is explained in the picture attached
Answer:
Step-by-step explanation:
∠UST=2 m∠2
10x+10=2(6x-1)
10x+10=12x-2
12x-10x=10+2
2x=12
x=6
m∠UST=10×6+10=70°
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:

As a decimal = 0.05 (nearest hundredth)
Step-by-step explanation:

First pick:

As the case is NOT replaced, second pick:

As the case is NOT replaced, third pick:

Therefore,

Answer as a decimal = 0.05 (nearest hundredth)
Answer will be option 2nd.
S(-4,7), T(-7,0), U(-1,0)