Answer:
There are 18 nickels and 52 dimes in the jar
Step-by-step explanation:
First establish the variables of x and y
x = number of nickels.
y = numer of dimes.
Then develope the system of two linear equations with two variables.
The first equation can result from adding the number of nickels and dimes which result will be 70 coins then
x + y = 70
The second equation is related with the value, so if we multiply the number of nickels by its value and add it with the number of dimes by its value we will have $6.10 then we have:
0.05x + 0.1y = 6.10
Now we have the two equations and we are going to solve them by the elimination method
x + y = 70
0.05x + 0.1y = 6.10
We are going to eliminate x then we have to multiply by -0.05 in both sides of the first equation and we are going to leave the second equation the same but in the first line to make easier the process.
0.05x + 0.1y = 6.10
(x+y)(-0.05) = 70*(-0.05)
0.05x + 0.1y = 6.10
<u>-0.05x -0.05y = -3.50</u> (now do the operation)
0 +0.05y = 2.60
y =
y = 52
We have 52 dimes.
Now replace in the initial equation the y value
x + 52 = 70
x = 70 - 52
x = 18
We have 18 nickels
Then in the jar we have 52 dimes and 18 nickels
1. Here are the four steps of the statistical process in correct order:
1) Plan - <span>Form a question that can be answered by data.
2) Collect data - D</span><span>esign and implement a plan that collects data.
3) Process - </span><span>Analyze the data using graphical and numerical methods.
4) Present and discuss - </span><span>Interpret and compare the data.
So your answer is the last option.
2. I am definitely sure that </span><span>Edgar wrote a statistical, because every neighbor can give a different answer. A statistical question is the question which you don't expect to get only one answer. Instead of that you will get a variety of different answers.
3. According to what I've mentioned before, the only statement which shows a characteristic of a statistical question is: </span><span>There can be variability in the answers to the question.
4. I am completely sure that this one is statistical question: </span>How many hours do you spend each week training for a sports league? Because it could be answered with variability.
5. The only statistical question in his survey is: <span>How many hours do you spend at the food court each month?. Because it gives him more different answers for his survey.</span>
Using Visual inspection, the model which fits the data in the distribution better is the power function.
The power and linear functions can of the data can both be modeled using technology,
<u>Using Technology</u> :
The power function in the form which models the data is
The linear function in the form which models the data is
- Where A = intercept and B = slope
- From the model, correlation coefficient given by the power and linear models are 0.999 and 0.986 respectively.
- Hence, the power model is a better fit for the data than the linear model.
Therefore, Inspecting the models visually, the power function fits the data better as the points on the curve are closer to the regression line than on the linear model.
Learn more :brainly.com/question/18405415
Fifth grade has 24 students per each teacher.
Sixth grade has about 23 students per teacher.
Sixth grade is lower.