Answer:
The dimensions are (7m-3) by (7m-3)
Step-by-step explanation:
We have the area of the rectangular field to be:

We need to factorize this expression.
Let us rewrite to obtain:

We can easily see that the expression is actually a perfect square trinomial.
This gives us:

Or

The equation for the area of a circle is:

. Insert 9 as your radius (r) into the equation and solve:
\pi 9^2 = 254.469
The final amount of yards the team has is 8 yards.
Y-intercept means x=0 but judging from the question you only gave f(x) which means Y
And so I think the only valid answer there is
Y= 0.25
X=0
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.