First we put the equation in y = mx + b form where m is ur slope and b is ur y int.
2x - 5y = 10
-5y = -2x + 10
y = 2/5x - 2.......so ur slope is 2/5 and ur y int is (0,-2) <==
to find ur x int, sub in 0 for y and solve for x
2x - 5y = 10
2x - 5(0) = 10
2x = 10
x = 10/2
x = 5......and ur x int is (5,0) <==
another way to find the y int is to sub in 0 for x and solve for y...but u might as well solve it by putting it in y = mx + b form because that way u have ur slope as well.
97.45 / 5 = 19.49 per gallon
and then there is 21.95 per gallon
the better deal would be the 5 gallon bucket for 97.45 because if u buy it this way, it is cheaper by the gallon
We know that
[volume of the similar prism]=10*5*5----> 250 in³
volume original prism=16 cm³
1 in³---------> 16.3871 cm³
X----------> 16
x=16/16.3871------> x=0.9764 in³
[volume of the similar prism]=[scale factor]³*[volume original prism]
[scale factor]³=[volume of the similar prism]/[volume original prism]
[scale factor]³=[250]/[0.9764]------> 256.05
scale factor=∛256.05-------> 6.35
<span>the dimensions of the original prism are
1 in-----> 2.54 cm
</span>length 10 in/6.35-------> 1.57 in*2.54 cm/in-----> 4 cm
<span>width 5 in/6.35---------> 0.79 in*2.54 cm/in-----> 2 cm
</span><span>height 5 in/6.35--------> 0.79 in*2.54 cm/in----> 2 cm</span>
Answer:
the first option
Step-by-step explanation:
really, just look at the table.
is the mean value (10.4) larger than the median (13.4) ?
I hope you can see right away that it is not.
and you can see they are not the same either.
so, all the answer options mentioning mean larger than median or equal to median can be ruled out right away.
so, it is between the first two options.
now think ! how do we draw number lines ? a coordinate axis ?
the smaller numbers left, the larger numbers right. the numbers grow from left to right.
the mean value is simply the sum of all measurements divided by the number of measurements (how many median were done). if that is smaller that the median (so, the Mean is left of the Median), it means that the majority of measurements had a result smaller (to the left) than the Median. so, it is skewed-left.
Answer:
1. a. Weak
2. r^2=0.0169
The variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%.
Step-by-step explanation:
The correlation between the weight of the wine bottles and the price of the wine is r=0.13.
The values for r goes from r=-1, where a perfect negative correlation to r=1 for a perfect positive correlation. The value r=0 indicates no correlation at all.
Then, a value of r close to 0 indicates very weak correlation between the two variables.
The value for r^2 in this case is:
The value of r2 can be interpreted as the proportion of the variation in the dependant variable explained by the independent vairable. In this case, the variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%, which is very close to 0.
