Answer:
<u>20%</u> of the garden are tomatoes planted.
Step-by-step explanation:
Given:
Kevin has a rectangular-shaped garden its 15 feet by 12 feet wide.
He plants 36 square feet of tomatoes.
Now, to find the percent of the garden where tomatoes planted.
We need to get the total area of the garden first:
Total area of the garden = 
= 
= 
So, getting the area of the garden 180 square feet.
Now, we calculate the percent of the area of garden where tomatoes are planted:
Therefore, 20% of the garden where are tomatoes planted.
Answer:
Step-by-step explanation:
a)
Number of sample, n = 100
p = 0.78
q = 1 - p = 1 - 0.78
q = 0.22
For a confidence level of 90%, the corresponding z value is 1.645.
The formula for determining the error bound for the proportion is
z × √pq/n
= 1.645 ×√(0.78 × 0.22)/100
= 1.645 × 0.0414 = 0.068
The upper boundary of the population proportion is
0.78 + 0.068 = 0.85
The lower boundary of the population proportion is
0.78 - 0.068 = 0.71
b) For a confidence level of 95%, the corresponding z value is 1.96.
Therefore,
= 1.96 ×√(0.78 × 0.22)/100
= 1.96 × 0.0414 = 0.081
The upper boundary of the population proportion is
0.78 + 0.081 = 0.86
The lower boundary of the population proportion is
0.78 - 0.081 = 0.7
Answer:
You need to add a picture for us to solve it
Step-by-step explanation:
Rational. equals 12
irrational. =4✓3
rational. equals 5
rational. equals 21
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
