Answer:
Step-by-step explanation:
1. Six. x x x x x x
x x x x x x
2. Two o o o o o
o o o o o
3. Four. # # # #
# # # #
# # # #
# # # #
4. Eight. @ @ @
@ @ @
@ @ @
@ @ @
@ @ @
@ @ @
@ @ @
@ @ @
5. Three. + + + + +
+ + + + +
+ + + + +
Answer:
15.87%
Step-by-step explanation:
First thing here is that we calculate the z-score which corresponds to 76
mathematically;
z-score = (x-mean)/SD
mean = 71 and SD = 5
plugging these values, we have;
z = (76-71)/5 = 5/5 = 1
Now, we want to firstly get the probability that we have a student shorter than 76 inches
The probability we want to calculate is P(z<1)
we can get this using the z-score table directly
That would be 0.15866
In percentage that is 15.866% which is 15.87% to the nearest tenth
I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal
Hey there! :)
Answer:
170 cm².
Step-by-step explanation:
This is an example of a composite figure, so find the areas of each shape separately:
Begin by finding the area of the smaller square. A = s²
A = 7² = 49 cm².
Find the area of the larger square:
A = 11² = 121 cm².
Add up the two areas:
49 + 121 = 170 cm².
