Answer:
answer a
Step-by-step explanation:
<
- Let's isolate on one side of the equation. Ignore the inequality for now. We'll deal with that later.
- Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating , but if this confuses you, just do your math and keep the inequality there.
<
- On a number line, this would include every number <em>less than </em>, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>. But, how do we decide between answers a and c?
- If a line has point at its beginning, , then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
Answer:
A person must get an IQ score of at least 138.885 to qualify.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
(a). [7pts] What IQ score must a person get to qualify
Top 8%, so at least the 100-8 = 92th percentile.
Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.
A person must get an IQ score of at least 138.885 to qualify.
You can find the value of the hypotenuse if you apply the Pythagorean Theorem, which is show below:
h²=a²+ b² ⇒ h=√(a² + b²)
h: hypotenuse (the opposite side of the right angle and the longest side of the triangle).
a and b: legs (the sides that form the right angle).
Then, you have:
h²=a² + b²
h²=12²+12²
h=√ ((12)² + (12)²)
h=12√2
What is the lenght of the hypotenuse?
The answer is: The length of the hypotenuse is 12√2
I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.
I hope I helped. Stay safe and God bless!
- Eli <3
Answer: x=-4
Step-by-step explanation:
1. Simplify:
-(x-1)=5 => -x+1=5
Isolate x:
-x=5-1 => -x=4 => x=-4