Answer:
ft/min is the rate of changing of width
Step-by-step explanation:
Given -
The area always remain constant i.2 2 square feet.
Height of the rectangle = 2 feet
Rate of changing of height = 6 feet per minute
Since area is constant
2 sq ft = (2 * 6) ft/min * 1 * x ft/min
x = ft/min
Answer:
Sierra studied 3 hours
William studied 2 hours
Step-by-step explanation:
jonah studied 6 hours.
He also studied 3 hours longer than sierra meanining sierra studied 3 hours less than 6 hours.
So, 6 hours minus 3 hours is equals to 3 hours.
With that being said, Sierra has studied 3 hours.
Sierra = 3 hours
The question then states that Jonah studied 3 times as many hours as William.
Reminder: Jonah studied 6 hours in total.
This means that jonahs' hours (6 hours) is equals to 3 times williams hours (3x)
6 hours= 3x
x= williams hours
we divide both sides by 3 to see what x is equals to
in other words, we divide Jonahs' hours to see what williams hours are
With that being said, William studied for 2 hours
2 hours = x
1. The formula for calculate the area of a rectangle, is:
A=LxW
A is the area of the rectangle
L is the length of the rectangle.
W is the widht of the rectangle
2. You have that:
-The<span> rectangular Corn Hole area has a width of 5 feet and a length of 10 feet, so:
L1=10 feet
W1=5 feet
- When</span> a uniform amount is added to each side (x), the area is increased to 84 feet². Then, you have a different length (L2) and a different width (W2):
3. The new length is:<span>
L2=L1+x+x
L2=L1+2x
L2=10+2x
4. The new width is:
W2=W1+x+x
W2=W1+2x
W2=5+2x
5. The new area is:
A2=84 feet</span>²<span>
6. Then, you have:
A=LxW
84</span>=(10+2x)(<span>5+2x)
7. When you apply the distributive property, you obtain a quadratic equation:
4x</span>²+30x-34=0
<span>
8. You can solve with by applyin the quadratic formula:
x=(-b±√(b^2-4ac))/2a
a=4
b=30
c=-34
9. Then, the answer is:
x=1 feet
</span><span>
</span>
Answer:
38%
Step-by-step explanation:
Option: 38%.
Total number of numbers: 150
Number of odd numbers: 72
Number of nines: 15
Number of odd numbers other than nine: 72 - 15 = 57
Probability = [number of odd numbers other than nine] / [total number of numbers] = 57/150 = 0.38
0.38 = 38%
Answer:
8.5
Step-by-step explanation:
Bayes factor is the ratio of the likelihood of one particular hypothesis against the likelihood of the another hypothesis. Bayes factor can be interpreted as a measure of strength of evidence in favor of one theory among two competing theories.
Bayes Factor is defined as below:
H1 = alternative hypothesis
H0 = null hypothesis
Bayes Factor = 0.85/0.1 = 8.5
