(_/18+2_/3)^(2
=(3_/2^(2 + (2)(2_/3)(3_/2) + 2_/3^(2)
=18+ 12_/6 +12
=30+12_/6
hope this helps
Answer:
(x,y) = (2,3)
Step-by-step explanation:
y=5x-7 (i)
-3x-2y= -12
-(3x+2y)= -12
3x+2y= 12 (ii)
By putting the value of y from (i) in (ii)
3x+2(5x-7)=12
3x+10x-14=12
13x=12+14
13x= 26
x = 
x= 2
By putting the value of x in (i)
y= 5(2)-7
y= 10-7
y= 3
(x,y) = (2,3)
$1.50
I hope this is what you need
Answer:

Step-by-step explanation:
We have the exponential function of the form:

And it goes through the points (0, 13) and (3, 832).
Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:

Since anything to the zeroth power is 1, this yields:

So, we determined that the value of a is 13.
So, our function is now:

We will need to determine b. We know that y equals 832 when x is 3. Hence:

Divide both sides by 13:

Take the cube root of both sides:

Hence, our b value is 4.
Therefore, our entire equation is:

To solve for proportion we make use of the z statistic.
The procedure is to solve for the value of the z score and then locate for the
proportion using the standard distribution tables. The formula for z score is:
z = (X – μ) / σ
where X is the sample value, μ is the mean value and σ is
the standard deviation
when X = 70
z1 = (70 – 100) / 15 = -2
Using the standard distribution tables, proportion is P1
= 0.0228
when X = 130
z2 = (130 – 100) /15 = 2
Using the standard distribution tables, proportion is P2
= 0.9772
Therefore the proportion between X of 70 and 130 is:
P (70<X<130) = P2 – P1
P (70<X<130) = 0.9772 - 0.0228
P (70<X<130) = 0.9544
Therefore 0.9544 or 95.44% of the test takers scored
between 70 and 130.