Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
Answer:
$8.40
Step-by-step explanation:
"20% off" translates into multiplication of the regular price by (1 - 0.20), or 0.80:
The price after discount is 0.80($10.50) = $8.40
Answer:
C
Step-by-step explanation:
slope is the change of y / change of x
.
we can pick any points and find the changes in y and x
lets pick (0 , 0) and (5 , 6) .
the change of y = 6-0 = 6.
the change of x = 5-0 = 5.
so the slope of the line is 6/5
.
Answer:
Now we can calculate the p value with the following probability
If we use the commonly significance level of 0.05 we see that the p value is lower than these values we can conclude that the true mean is different from the value of 465.6 at 5% of significance
Step-by-step explanation:
Data provided
represent the mean score on the standardized memory test
represent the population standard deviation
sample size
represent the value that we want to verify
z would represent the statistic
represent the p value
System of hypothesis
We are interested to check if the memory performance for elderly individuals differs from that of the general population (mean different from 465.6), the system of hypothesis are then:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation we can use the z statistic from the z test for the true mean:
(1)
Replacing the info given we got:
Now we can calculate the p value with the following probability
If we use the commonly significance level of 0.05 we see that the p value is lower than these values we can conclude that the true mean is different from the value of 465.6 at 5% of significance
D because the shaded region has one side and subtract by pie and substitute to get this answer.
