The maximum occurs when the derivative of the function is equal to zero.
Then evaluate the function for that time to find the maximum population.
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.
Answer:
Here, BRX and NJY are two triangles in which,
BR = 30 cm, RX = 40 cm, BX = 60 cm, NJ = 15 cm, JY = 20 cm and NY = 30 cm,
Also, m∠B = m∠N, m∠R = m∠J and m∠X = m∠Y,
By the property of congruence,
, 
and 
Thus, By AAA similarity postulate,
Hence, proved.
The left hand side expression of the given equation is a difference of two squares. The first term, x², is a square of x and the second term, 25 is the square of 5. The factors of the expression are (x - 5) and (x + 5).
(x - 5)(x + 5) = 0
The values of x from the equation above are x = -5 and x = 5.
Answer:
none of them are greater than 1.45
Answer:
The p-value here is 0.0061, which is very small and we have evidence that the girls' mean is higher than the boys' mean.
Step-by-step explanation:
We suppose that the two samples are independent and normally distributed with equal variances. Let 
be the mean number of ring tones for girls, and 
the mean number of ring tones for boys.
We want to test 
vs 
(upper-tail alternative).
The test statistic is
T = 
where
.
For this case, 
, 
, 
, 
, 
.
and the observed value is
t = 
.
We can compute the p-value as P(T > 2.6309) where T has a t distribution with 20 + 20 - 2 = 38 degrees of freedom, so, the p-value is 0.0061. Because the p-value is very small, we can reject the null hypothesis for instance, at the significance level of 0.05.
