Can you graph these inequalities on these number lines for me?
1 answer:
<h2><u>Pictures:</u></h2><h3 /><h3>1.) Closed Circle. Point on 0. Arrow going Left.</h3>
(Picture Below)
<h3>2.) Open Circle. Point on -1. Arrow going Right.</h3>(Picture Below)
<h3 /><h3>3.) Closed Circle. Point on -5. Arrow going Right.</h3>(Picture Below)
<h3 /><h3>4.) Open Circle. Point on 5. Arrow going Left. </h3>(Picture Below)
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Answer:
C
Step-by-step explanation:
ley y = f(x) and rearrange making x the subject
y = - 1 ( add 1 to both sides )
y + 1 = ( multiply both sides by (x + 5)
(y + 1)(x + 5) = 1 ← expand factors using FOIL
xy + 5y + x + 5 = 1 , that is
xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )
x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side
(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )
x + 5 = ( subtract 5 from both sides )
x = - 5
Change y back into terms of x with x = (x) , then
(x) =
- 5 where x ≠ - 1
Given Information:
Mean SAT score = μ = 1500
Standard deviation of SAT score = σ = 3 00
Required Information:
Minimum score in the top 10% of this test that qualifies for the scholarship = ?
Answer:
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.
The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)
Therefore, you need to score 1884 in order to qualify for the scholarship.
How to use z-table?
Step 1:
In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2
Step 2:
Then look up at the top of z-table and note down the value of the that column which is 0.08
Step 3:
Finally, note down the intersection of step 1 and step 2 which is 1.28