Either way you still have the exact same amount of material length no matter if melted and remolded or simply cut
Answer:
8
Step-by-step explanation:
Using the pythagorean theorem (Assuming the house's walls are perpindicular to the ground):
a^2+b^2=c^2
we can find that 3=a and 29=c
3^2+b^2=29^2
9+b^2=841
b^2=832
b=
b=
b=8
That is the height that the ladder will reach
Answer:
Step-by-step explanation:
The x and y intercepts occur when either x or y = 0
For the y intercept, x = 0
3(0) - 5y + 15 = 0
- 5y + 15 = 0 Subtract 15 from both sides.
-5y = - 15 Divide by - 5
-5y / -5 = - 15/-5
y = 3
For x intercept, y = 0
3x - 5(0) + 15 = 0
3x + 15 = 0 Subtract 15 from both sides
3x = - 15 Divide by 3
3x/3 = - 15/3
x = - 5
xintercept = (-5,0)
yintercept = (0,3)
Answer:
The 95% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).