16
Explanation:
Okay so Jack started with 50 chocolates, and ended with 2.
The simple way to calculate it would be by realising that Jack only distributed 48 chocolates. We can find how many times 3 fits into 48 by dividing <span>48÷3=16</span>.
Using algebra, we substitute the value we want to find with x. Here what we want to find is the number of friends that were at Jack's party.
We know that he started with 50 chocolates, then distributed <span>3×</span> the number of friends present (which is x).
We write that down as <span>50−3x</span>
(It's minus because when chocolates are distributed, Jack is taking away from what he has.)
We know that after this, there were only 2 chocolates left, so it's
<span>50−3x=2</span>
Then we proceed by moving all the numbers to the right until only x is left:
<span>−3x=2−50</span>
<span>−3x=−48</span>
<span>x=<span><span>−48</span><span>−3</span></span></span>
<span>x=16</span>
Conclusion: The number of people that attended the party was 16
Y=110,677.5x + 441,300
y, in 2016, would be equal to about $2,212,140
Answer:
32.66 units
Step-by-step explanation:
We are given that

Point A=(-2,-4) and point B=(1,20)
Differentiate w.r. t x

We know that length of curve

We have a=-2 and b=1
Using the formula
Length of curve=
Using substitution method
Substitute t=12x+14
Differentiate w.r t. x


Length of curve=
We know that

By using the formula
Length of curve=![s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B12%7D%5B%5Cfrac%7Bt%7D%7B2%7D%5Csqrt%7B1%2Bt%5E2%7D%2B%5Cfrac%7B1%7D%7B2%7Dln%28t%2B%5Csqrt%7B1%2Bt%5E2%7D%29%5D%5E%7B1%7D_%7B-2%7D)
Length of curve=![s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B12%7D%5B%5Cfrac%7B12x%2B14%7D%7B2%7D%5Csqrt%7B1%2B%2812x%2B14%29%5E2%7D%2B%5Cfrac%7B1%7D%7B2%7Dln%2812x%2B14%2B%5Csqrt%7B1%2B%2812x%2B14%29%5E2%7D%29%5D%5E%7B1%7D_%7B-2%7D)
Length of curve=
Length of curve=
Length of curve=
Answer:
<u>a. two or more samples are equal.</u>
<u>Step-by-step explanation:</u>
ANOVA (Analysis of Variance) is a statistical procedure that could be used to compare two or more population means are equal.
Remember, the means referred to here is the expected value or average value of a set of numbers, which is calculated by summing the values in a given set divided by the number of values. Also, put simply, the analysis of variance is a measure of how much differences exist out a data set.