Answer:
116.3, 41.05
Step-by-step explanation:
Using the growth rate formula
Final = initial(1 + rate)^n
Rate = 2% = 0.02
n = number of years
Carry capacity = 100%( the original state before the disease)=final
100% = 1
1 = 0.1 ( 1+0.02)^n
10 = (1.02) ^n
Log 10/ Log 1.02 = 116.3 = n
b) initial rate doubled = 0.02*2 (2%*2) = 0.04
Initial population doubled by importation = 0.1 *2 = 0.2
Again, 1 = 0.2 ( 1+0.04)^n
5 = 1.04^n
Log 5/ Log 1.04 = 41.05 = n
The averages did not match because of the number of grades calculated into the total average. Let's say for example that the teacher in this case has 25 students in her class. She would take the average of all 25 students' test grades. Let's say that Paul has 4 friends with whom he averaged his test grade. He has taken the average of 5 tests, whereas the teacher has calculated the total amount of student test scores (25). Paul and his friends may have done better on that particular test than the other 20 students in the class, explaining the average of 95 that he got. Other students who got B's or C's on that test pulled the total class average down, explaining the teacher's average of 83.
Answer:
The length of x is 155 cm to the nearest centimeter
Step-by-step explanation:
To solve a triangle we use the sine rule or cosine rule
In the triangle XYZ
∵ y is opposite to ∠Y
∵ x is opposite to ∠X
∵ z is opposite to ∠Z
∵ y = 75 cm and z = 83 cm
∵ m∠X = 157°
→ We have 2 sides and the included angle, then use the cosine rule
∴ x² = y² + z² - 2yz cos X
→ Substitute the given values in the rule
∵ x² = (75)² + (83)² - 2(75)(83) cos(157°)
∴ x² = 23974.28543
→ Take a √ for both sides
∴ x = 154.8363182
→ Round it to the nearest cm (nearest whole number)
∴ x = 155 cm
∴ The length of x is 155 cm to the nearest centimeter
Answer:
262%,25,26.2
262% is the same as 2.62 so it is smaller than 25. 25 is smaller than 26.2
