I got k ≥ -7. Hope this helps!
Answer:
x = 5.5
Step-by-step explanation:
Using a trig ratio, you can use sin, which is opposite over hypotenuse. 
Now, multiply both sides by 11
this simplifies to x = 
or 5.5.
Since sin30 is 
radians, it can be written as 
.
Answer:
485y to the power 2 + 5x to the power 2 - 6xy to the power 3 + 7
Step-by-step explanation:
I hope this helps. Also, there's this free app called Quick Math. If you need the steps, you should check there first, and maybe you should try that for other math problems as well.
Good luck and have a great rest of your day.
Answer:
The student's score closest to 91 percentile.
Step-by-step explanation:
Since the scores on the standardized test are approximately normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 480
σ = 90
If a student has a score of 600, then x = 600
For x = 600,
z = (600 - 480)/90 = 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.91
the student's score closest to 91 percentile.
Move decimal 2 to the left of 67
so 0.67
