The pool's dimension are l = 2.7 m and w = 1.2 m
Step-by-step explanation:
Step 1 :
Given
The pool's perimeter = 7.8 m
Four times the pool's length = nine times the pool's width.
=> 4l = 9w => l = (
) w
Where l is the pool's length and w is the pool's width
Step 2:
The rectangle's formula for perimeter is 2 (l+w)
Substituting l = (
) w ,
2[ (
) w + w] = 7.8 (given)
(
) w = 7.8 = > w = 1.2 m
Step 3 :
l = (
) w = (
) 1.2 = 2.7
l = 2.7 m
Step 4 :
Answer :
The pool's dimension are l = 2.7 m and w = 1.2 m
Answer:
<u>42 Hours.</u>
Step-by-step explanation:
As an equation where y is the total pages and x is hours of class:
y=1+1x since she started with 1 page and does 1 page per hour.
Setting the total pages she needs as 43 (y=43) we get:
43=1+1x
Subtract one on both sides
42=1x
The 1 doesn't need to be written so
x=42
Therefore, it'll take her 42 hours to write all those notes.
Answer:
(x, y) = (0, 1/2) or (1, 3)
Step-by-step explanation:
The first equation factors as ...
x(3x -y) = 0
This has solutions x=0 and y=3x.
__
<u>x = 0</u>
Using this in the second equation gives ...
2y -0 = 1
y = 1/2
(x, y) = (0, 1/2) is a solution
__
<u>y = 3x</u>
Using the expression for y in the second equation, we get ...
2(3x) -5x = 1
x = 1 . . . . . . . . . simplify
y = 3x = 3 . . . . using x=1 in the first equation
(x, y) = (1, 3) is a solution
_____
Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be <em>anything</em>. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.
Answer:
1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.
Step-by-step explanation:
Hello!
The historical information indicates that 60% of the forest trees are classified as softwood.
A botanist thinks that the proportion might be greater than 60%, so he tested his belief obtaining:
H₀: p = 0.60
H₁: p > 0.60
p-value: 0.015
You need to interpret this p-value. Little reminder:
The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis. It represents the % of size n samples from a population with proportion p=p₀, which will produce a measure that provides evidence as (or stronger) than the current sample that p is not equal to p₀.
The correct answer is:
1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.
I hope this helps!
The answer is 14 there just adding an extra letter each time twister has 7 letters