Answer:
3 gallons
Step-by-step explanation:
Let
x ----> the amount of pure acid (100% solution) in gallons
Remember that



we know that

solve for x


therefore
3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in order to get a 60% acid solution
Answer:
0.23
Step-by-step explanation:
Given the data:
____(x) __(y)__(x - m1) /s1 ___(y-m2) /s2
1 ___6 ___8__ - 0.2 _______0.625
2 __5 ___ 5__ - 0.7________ - 1.25
3 __9____6__ 1.3 ________ - 0.625
4__ 4____ 7__ - 1.2 ______ 0
5__ 8 ____9 _ 0.8 _______ 1.25
For English :
Mean score(m1) = 6.4
Standard deviation (s1) = 2.0
For Science :
Mean score (m2) = 7.0
Standard deviation (s2) = 1.6
n = number of observations = 5
Correlation Coefficient (r) :
r = 1/(n - 1) Σ[((X - m1) / s1) * ((Y - m2) /s2)]
(-0. 2 * 0.625) + (-0.7 * - 1.25) + (1.3 * - 0.625) + (-1.2 * 0) + (0.8 * 1.25) = 0.9375
r = 0.9375/(5-1)
= 0.234
= 0.23
First multiply the equation by r
f*r=(mv^2)
then divide by m f*r/gm=v^2
put the equation all together you get v=sqrt(FrgM)/gM
Answer:
Vertical
Step-by-step explanation:
We can see that the line is parallel to the y-axis. This is an indicator that the line is vertical.
On the other hand, if the line was parallel to the x=axis, it would indicate that it is horizontal.
I hope this helps!
Answer:
x = 63°
y = 45°
z = 72°
Step-by-step explanation:
<u>Points to remember</u>
1). Opposite angles of a parallelogram are equal
2). Adjacent angles of a parallelogram are supplementary
3). Sum of angles of a triangle is 180°
<u>To find the measures of given angles</u>
ABCD is parallelogram.
m<C = m<C = x = 63°
Consider triangle ABD
m<A + m< B + m<D = 180
x + 72 + y = 180
y = 180 - ( 72 + x) = 180 - 135
y = 45°
Also y + z + m<C = 180
45 + z + 63 = 180
z = 180 - 108
z = 72°