Answer:
The area of the patio is 43 square feet
Step-by-step explanation:
In this question, we have a trapezoid and we are asked to calculate the area of the patio which is in the form of the trapezoid.
Please check attachment for possible trapezoid picture.
Mathematically, the area of the trapezoid can be calculated using the mathematical formula below;
A = 1/2 (a+b) h
where a and b are the lengths of the parallel sides.
Now, let’s say a is 17 feet
b was stated explicitly to be 2 feet half the length of the longer base. That would be 1/2(17) - 2 = 8.5 -2 = 6.5 feet
Now let’s calculate the area of the patio;
A = 1/2(6.5+17) * 4 = 2(23.5) = 47 square feet
Answer:
Step-by-step explanation:
Hello!
To compete in the touch screen phone market a manufacturer aims to release a new touch screen with a battery life said to last more than two hours longer than the leading product which is the desired feature in phones.
To test this claim two samples were taken:
Sample 1
X: battery lifespan of a unit of the new product (min)
n= 93 units of the new product
mean battery life X[bar]= 8:53hs= 533min
S= 84 min
Sample 2
X: battery lifespan of a unit of the leading product (min)
n= 102 units of the leading product
mean battery life X[bar]= 5:40 hs = 340min
S= 93 min
The population variances of both variances are unknown and distinct.
To test if the average battery life of the new product is greater than the average battery life of the leading product by 2 hs (or 120 min) the parameters of interest will be the two population means and we will test their difference, the hypotheses are:
H₀: μ₁ - μ₂ ≤ 120
H₁: μ₁ - μ₂ > 120
Considering that there is not enough information about the distribution of both variables, but both samples are big enough, we can apply the central limit theorem and approximate the distribution of both sample means to normal, this way we can use the standard normal:
Z≈N(0;1)
I hope this helps!
Answer:
$1769.06
Step-by-step explanation:
The sum of Mia's three highest salaries is ...
$92,000 +94,800 +96,250 = $283,050
so the average is ...
$283,050/3 = $94,350
Her pension is then ...
0.01875 × $94,350 = $1769.06
_____
<em>Additional comment</em>
This is equivalent to the total of those salaries, divided by 160.
T/3 × 0.01875 = T × (0.01875/3) = T × 0.00625 = T/160
Sometimes, there are simpler ways to calculate things like this.
Yes they are correct.
At least I'm pretty sure they are:)