Answer: 3.4 h
Explanation:
1) The basis to solve this kind of problems is that the speed of working together is equal to the sum of the individual speeds.
This is: speed of doing the project together = speed of Cody working alone + speed of Kaitlyin working alone.
2) Speed of Cody
Cody can complete the project in 8 hours => 1 project / 8 h
3) Speed of Kaitlyn
Kaitlyn can complete the project in 6 houres => 1 project / 6 h
4) Speed working together:
1 / 8 + 1 / 6 = [6 + 8] / (6*8 = 14 / 48 = 7 / 24
7/24 is the velocity or working together meaning that they can complete 7 projects in 24 hours.
Then, the time to complete the entire project is the inverse: 24 hours / 7 projects ≈ 3.4 hours / project.Meaning 3.4 hours to complete the project.
Answer:
x= 1
y = -4
Step-by-step explanation:
8x + 9y = -28
-4x = y
8x + 9(-4x) = -28
8x - 36x = -28
-28x = - 28
x = 1
y = -4(1) = -4
Answer: Two-tailed test.
Population mean is the parameter which is tested.
Step-by-step explanation:
Given : 
We know that , the alternative hypothesis (
) indicates kind of the hypothesis test we need to perform whether left-tailed, right-tailed, or two-tailed.
Here, the alternative hypothesis () is two-tailed, so the hypothesis test is a two-tailed test.
Also, the parameter present in the hypothesis is 
which is a symbol to represent the population mean.
Thus , Population mean is the parameter which is tested.
Hey there!
In order to solve this problem, we can use the Pythagorean Theorem, which is 
. Since the Pythagorean Theorem would find only half of the length of x, we'll need to double it in the end.
First, let's plug in what we know to the Pythagorean Theorem: 
Next, we'll simplify to that 
is by itself:
Then, we'll find the square root of 2.45, multiply that by 2 and round to the nearest tenth:
Therefore, x = 3.1 ft.
How to round to the nearest tenth:
In a decimal, the tenth is the first number after the decimal point. To round to the tenth, if the number in the hundredth place is less than 5, you keep the number as it is, but if the number in the hundredth place is more than 5, you increase the number in the tenth place by 1.
Hope this helps!! :)
Answer:
he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140
Step-by-step explanation:
