For the answer to the question above,
<span>Let x = the length of the first piece </span>
<span>Then 3x = length of the second piece </span>
<span>And 5x + 2 = length of the third piece </span>
<span>Now, add all three of these together and set equal to 47: </span>
<span>x + 3x + (5x + 2) = 47 </span>
<span>Now combine all the like terms and solve for x. Then use that value to find the length of the third piece.</span>
The account is starting off with 1500, so that will be the start value. Since it is simple interest, it will always be gaining 4 percent of 1500. Let's find 4 percent of 1500.
1500×.04= 60
The account will be growing by $60 every year.
1500+60x=y
X is the number of years. We can find the interest earned by multiplying 5, since that is the number of years we are trying to find, and 60, since that is the interest.
60×5= 300
The interest earned is $300 over 5 years.
Now let's find the balance of the account after 5 years.
1500+ 60(5)=y
1500+300=y
1800=y
The balance of the account will be $1,800 after 5 years.
The valid prediction for the mean of the population possible using these samples is C. Yes, the variation of the sample means is small
<h3>What is a sample mean?</h3>
It should be noted that a sample mean is an average of a set of data . Also, the sample mean can be used to calculate the standard deviation, central tendency, and the variance of a data set.
The sample mean can be applied to a variety of uses, including calculating population averages.
Here, the sample variance is a measure of the degree to which the numbers in a list are spread out. Here, the numbers given are close to each other.
If the numbers in a list are all close to the expected values, the variance will be small and if they are far away, the variance will be large.
Therefore, the correct option is C.
Learn more about mean on:
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I'll be honest, this is a pretty interesting question. I've never seen anything like it before!
We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:
p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)
We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270
I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:
2c + 4p = 270
c + p = 100
___________
Multiply the bottom equation by -2;
2c + 4p = 270
-2c -2p = 100
____________
"Add" these two equations together:
2c + 4p = 270
-2c -2p = -200
___________
2p = 70
Divide both sides by 2:
p = 35
Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:
c + 35 = 100
Subtract:
c = 65
There are 35 pigs and 65 chickens
-T.B.
Use distributivity to split the multiplication
6*107
=6(100+7)
=600+42
=642
