When a number is 3 times a first number. A third number is 100 more than the first number and the sum of the three numbers is 450, the numbers are 70, 170 and 210.
<h3>How to calculate the numbers?</h3>
Let the first number = x
Second number = 3x
Third number = x + 100
Sum = 450
The numbers will be:
x + 3x + x + 100 = 450
5x + 100 = 450
5x = 450 - 100
5x = 350
Divide
x = 350 / 5
x = 70
First number = 70
Second number = 3x = 3 × 70 = 210
Third number = x + 100 = 70 + 100 = 170
Therefore, the numbers are 70, 170 and 210.
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One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 450 , find the numbers.
Answer:
Part 1) The explanatory variable is the type of oven
It is a categorical variable
Part 2) The response variable is the baking time
It is a quantitative variable
part 3) two-sample z-test for proportions should be used for the test
Step-by-step explanation:
An explanatory variable is an independent variable that is not affected by all other variables. In this experiment, the type of oven is the input variable and it is not affected by any other variable
A categorical variable is one that has two or more categories without any intrinsic ordering of the categories. The type of oven is either gas or electric, so it is categorical.
A response variable is a dependent variable whose variation depends on other variables. The baking time in this experiment depends on the type of oven used
A quantitative variable is one that take on numerical values.
A two proportion z-test allows you to compare two proportions to see if they are the same. The null hypothesis (H0) for the test is that the proportions are the same. The alternate hypothesis (H1) is that the proportions are not the same.
Answer:
8. Arithmetic Progression
9. 
Step-by-step explanation:
Given

Solving (8): Arithmetic or Geometric
We start by checking if it is arithmetic by checking for common difference (d).

This gives:



<em>Because the common difference is equal, then it is an arithmetic progression</em>
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Solving (8):

To find f(9), we substitute 9 for n


We need to solve for f(8); substitute 8 for n


We need to solve for f(7); substitute 7 for n


We need to solve for f(6); substitute 6 for n


We need to solve for f(5); substitute 6 for n


From the function, f(4) = 25 and f(1) = 55.
So:














This is a square, and so all the sides will be the same measurements. Note that you are given an area, so you'll have to root the total area to get a side.
√400 = 20
One side's measurements is 20 in
hope this helps
Answer:
The answer is 91
Step-by-step explanation:
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