Answers:
- Lateral Area = 108 square km
- Surface Area = 120 square km
===============================================
Explanation:
Think of the triangles as the floor and ceiling of this 3D room. The walls are the three rectangular sides.
We have a 9 by 4 wall with area 9*4 = 36 square km
We have a 9 by 3 wall with area 9*3 = 27 square km
We have a 9 by 5 wall with area 9*5 = 45 square km
The lateral area is 36+27+45 = 108
-----------------
The two triangles form the base faces of this prism.
Let's find the area of one of the triangles
area = 0.5*base*height = 0.5*3*4 = 6
One triangle has area 6, so both triangles in total have area 2*6 = 12 square km.
The total surface area is therefore 108+12 = 120 square km
Answer:
The mean exam scores in the second section is greater than the mean exam scores in the first section
Step-by-step explanation:
Here, we are interested in making a conclusion.
Mathematically;
z-score = (score - mean)/SD
so basically, what determines the sign of the z-score is dependent entirely on the mean.
If the mean is larger than the score, we will have a negative z-score. If the mean is smaller than the score, then will have a positive z-score
So basically what drives the sign is the mean value since the scores are the same for both students in this case, irrespective of the standard deviation in both classes.
So, for the first girl with a positive z-score, we can conclude that her score is larger than the mean; while for the second girl with a negative z-score, her score is smaller to the mean.
Thus, what we conclude here is that the mean score of the second section with the professor is greater than the mean score of the first section with the professor.
Answer:
H(x) = 0.85x -2.00
Step-by-step explanation:
The original price of an item, x dollars, is discounted by 15%.
Let x be the original price of an item
15% =0.15 discount , so discounted amount is 0.15x
Now we subtract discounted amount from original amount
x - 0.15x = 0.85x
A coupon for $2.00 off is applied to the discounted price.
$2.00 is off, so we subtract 2
Function becomes H(x) = 0.85x -2.00
Step-by-step explanation:
linear equation formula
y = mx +b
where
b = y-intercept
m = slope
so 15 should be y=
16 should be
17 should be
18 should be