A property of rectangles is that opposite sides are congruent. In this case, since QT and RS are opposite sides, they are equal to each other. With this knowledge, you can form the equation 
to solve for x.
Firstly, subtract both sides by 8: 
Next, divide both sides by 4 and your answer will be 
, or the third option.
Answer:
82.88%
Step-by-step explanation:
Given that:
Mean (μ) = 16.7 pounds
Standard deviation (σ) = 3.8 pounds
Number of pounds eaten = 11.5 = x
P(11.5 ≥ x ≤11.5)
P(x ≤ 11.5) :
Zscore = (x - μ) / σ
Zscore = (11.5 - 16.7) / 3.8
Zscore = - 5. 2 / 3.8
Zscore = −1.368421
P(Z ≤ - 1.3684) = 0.085593 (Z probability calculator)
P(x ≥ 11.5) ;
Zscore = (x - μ) / σ
Zscore = (11.5 - 16.7) / 3.8
Zscore = - 5. 2 / 3.8
Zscore = −1.368421
P(Z ≥ - 1.3684) = 0.91441 (Z probability calculator)
P(Z ≥ - 1.3684) - P(Z ≤ - 1.3684)
0.91441 - 0.085593 = 0.828817
0.828817 * 100% = 82.88%
Answer:
8.0%
Step-by-step explanation:
We have been given that James Harmon pays $850.80 per year for his life insurance. If Mr. Harmon were to pay the premiums monthly, the payments would be $76.57.
First of all, we will find the amount paid for the year using the monthly rate by multiplying $76.57 by 12 (1 year = 12 months).
Now, we will use percent change formula.
Therefore, Mr. Harmon is paying 8.0% more for the year using the monthly rate.
5x$12=$60 (spent on scarves)
2x5=10 (no of scarves in all)
$125-$60=$65 (total spent on scarves)
$65÷10=$6.50
Ans: $6.50
Answer:
<h3>
f(x) = 4(x - 4)² - 4 </h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
so the equation of parabola with the vertex (4, -4) is
f(x) = a(x - 4)² - 4
passes through the point (2, 12) means if x=2 then f(x)=12
12 = a(2 - 4)² - 4
12 +4 = a(-2)² - 4 +4
16 = 4a
a = 4
Therefore the equation (in vertex form) of parabla is:
<u> f(x) = 4(x - 4)² - 4 </u>
