Step-by-step explanation
The answers in bold is what was required from the question.
the null hypothesis using symbol:-
H₀ : μ = 11.80
the alternative hypothesis using symbol:-
H₁: μ ≠ 11.80
This is a one tailed test. Given what you know, you will evaluate this hypothesis using a t test statistic.
Alpha level = 0.05
Sample size = n
Degree of freedom = n-1 = 40-1 = 39
To use the t distribution we will have to find the critical value from the t table this value is 1.685
But the question does not have sample mean and sample standard deviation. So I was unable to solve for the standard error
First you write out your equation, which is 28x-42=154. Then you solve you equation. First, add 42 to each side, get 28x=196. Divide both sides by 28, get x=7.
Find the are of the pool by dividing the volume by the depth:
1960 / 4 = 490
The pool is 490 square feet.
Area is found by multiplying the length by the width.
Let the width = X
We are told the length is 2.5X ( 2.5 times longer)
So we now have 2.5x * x = 490
2.5x * x = 2.5x^2
Now we have 2.5x^2 = 490
Divide both sides by 2.5:
x^2 = 490/2.5
x^2 = 196
find X by taking the square root of 196:
x = √196
x = 14
The width is 14 feet
The length is 2.5 * 14 = 35 feet
Answer: A) Producers B) Consumers constitute the upper trophic levels. Unlike producers, they cannot make their own food. To get energy, they eat plants or other animals, while some eat both. c) Through the photosynthesis process, producers, such as grass, absorb the sun's light energy to produce food (stored sugar and starches). Consumers cannot make their own food, so they have to consume other organisms. The food of almost any kind of animal can be traced back to plants and the sun.
Step-by-step explanation:
We can write this in math as x+y+z=104, x=y-6, and z=3y
Because we already know what x and z are in terms of y, we can substitute our values for x and z into the first equation. This now looks like (y-6) + y + (3y) = 104. Now we can simplify our equation to find our value for y.
y-6 + y + 3y = 104 simplifies to 5y - 6 = 104, then 5y=110, and finally y=22.
Now that we know our value for y we can find our values for x and z by substituting our value for y into the other two equations.
The second equation x = y-6 can be simplified as x = 22 - 6 and further simplified as x = 16.
The third equation z = 3y can be written as z = 3(22) or z = 66.
Our three numbers are 16, 22, and 66. Hope this helps you!
