Hi there!
Similar to the area of a triangle, it is 1/2 the area of a square. Therefore, we can multiply the base x height x length and divide it by 2 to find the volume of this figure.
WORK:
(6 x 8 x 19) / 2 = 456
ANSWER:
Option B - 456 units^3
Hope this helps!! :)
tripple number 4Step-by-step explanation:
Answer:
5, 12, 13
Step-by-step explanation:
Pythagoras theorem ⇒ Perpendicular² + Base² = Hypotenuse²
5² + 12² = 13²
25 + 144 = 169
Thus 5, 12, 13 is a Pythagorean triple.
Answer:
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
For the men,
x = 318
n1 = 520
p1 = 318/520 = 0.61
For the women
x = 379
n2 = 460
p2 = 379/460 = 0.82
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96
Margin of error = 1.96 × √[0.61(1 - 0.61)/520 + 0.82(1 - 0.82)/460]
= 1.96 × √0.0004575 + 0.00032086957)
= 0.055
Confidence interval = 0.61 - 0.82 ± 0.055
= - 0.21 ± 0.055
Answer:
The current deer population is 240.
Step-by-step explanation:
The expression given models a exponential decay follows:
For every year that passes since the beginning of the count the population is 0.978 of the year prior. Assuming that the count starts at this year, then "n" is equal to 0, applying this value of n to the formula gives us:
The current deer population is 240.
