6x+7=3x-6
-3x -3x
3x+7= -6
-7 -7
3x= -13
3x/3= -13/3
x= -13/3
Answer is x= -13/3
I hope it helps
The way I would look at it is that Sophia types 15 words per minute faster than Patty so every minute Sophia is 15 minutes closer to what Patty has done. 510/15=34 so after 34 minutes Sophia will have caught up to Patty
Answer:
He solved 75% of the puzzles!
Step-by-step explanation:
Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.
18 3
---- divided by 6 = ----
24 4
Now that we have the fraction 3/4, we can turn that into a percentage!
3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.
A researcher used simple random sampling in collecting grade-point averages of statistics students. From there, he calculated the mean of the sample.
The question: “Under what conditions can the sample mean he got be treated as a value from a population having a normal distribution?” can be answered by the central limit theorem which states that: Given a population with a finite mean μ and a finite non-zero variance σ2, the sampling distribution of the mean N approaches a normal distribution. if sample size, increases. The researcher needs to increase the number of statistics students so the variance of the sampling distribution of the mean will become smaller.