<span>replace Y = 5x - 13
into
4x + 3y = 18
</span>
4x + 3 (5x - 13) = 18
4x + 15 - 39 = 18
4x -24 = 18
4x = 18 +24
4x = 42
x = 42/4
x = 10.5
Y = 5(10.5) - 13
= 52.5 - 13
= 39.5
answer: x = 10.5 and y = 39.5
Answer:
Volume of the prism = 140 cubic inches.
Step-by-step explanation:
The edge length of the cube is 1/2 inches.
The volume of the cube is given by
Now, it has been given that there are 1120 cube is completely filled in the prism. Hence, we have to the multiply the volume by 1120.
Volume of the prism = 1120 × 0.125
Volume of the prism = 140 cubic inches.
10P4 = 10! / (10-4)! = 10*9*8*7 = 5040
9C4 = 9! / 5! 4! = 9*8*7*6 / 4*3*2*1 = 126
Answer:
Confidence Interval: (21596,46428)
Step-by-step explanation:
We are given the following data set:
10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929
Formula:
where 
are data points, 
is the mean and n is the number of observations.
Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821
Confidence interval:
Putting the values, we get,
Answer:
The experimental factor that is manipulated; the variable whose effect is being studied is called <u>independent variable.</u>
Step-by-step explanation:
Consider the provided information.
In an experiment, the two principal variables are the independent and dependent variable.
An independent variable is the variable that is altered or controlled to test the effects on the dependent variable in a scientific experiment.
The variable which is tested and measured in a scientific experiment is a dependent variable.
From the above definition: The experimental factor that changed or controlled in a scientific experiment is called independent variable.
Therefore, the complete statement is: The experimental factor that is manipulated; the variable whose effect is being studied is called <u>independent variable.</u>
