This is a quadratic function:
f(x)=ax²+bx+c
We have three points:
(0 , 77.6)
(5 , 78)
(10 , 78.6)
Then, we make the function wiht these points:
(0 , 77.6)
x=0
f(x)=77.6
a(0)²+b(0)+c=77.6
c=77.6
(5 , 78)
a(5)²+b(5)+77.6=78
25a+5b=78-77.6
25a+5b=0.4 (1)
(10 , 78.6)
a(10)²+b(10)+77.6=78.6
100a+10b=78.6-77.6
100a+10b=1 (2)
With the equations (1) and (2) we have a system of equations:
100a+10b=1
25a + 5b=0.4
We solve this system of equations by method of elimination.
100a+10b=1
-4(25a+5b=0.4)
-----------------------------
-10b=-0.6 ⇒ b=-0.6/-10=0.06
100a+10b=1
-2(25a+5b=0.4)
----------------------------
50a = 0.2 ⇒ a=0.2/50=0.004
We have a, b and c:
a=0.004
b=0.06
c=77.6
Therefore, the quadratic funtion is:
f(x)=0.004x²+0.06x+77.6
x=year of the beginning of the interval - 1980
The life expectancy for females born between 1995 and 2000 is when x=1995-1980=15
Therefore:
f(15)=0.004(15)²+0.06(15)+77.6
f(15)=0.004(225)+0.06(15)+77.6
f(15)=79.4
The life expectancy for females born between 2000 and 2005 is when:
x=2000-1980=20
therefore:
f(20)=0.004(20)²+0.06(20)+77.6
f(20)=1.6+1.2+77.6
f(20)=80.4
Answer:
The funtion is:
f(x)=0.004x²+0.06x+77.6
x=year of the beginning of the interval - 1980
The life expectancy for females born between 1995 and 2000 is 79.4 years.
The life expectancy for females born between 2000 and 2005 is 80.4 years.
Answer:
29 trash cans!
Step-by-step explanation:
Hello!
To solve this, we simply divide the budget by how much each garbage can costs. This will tell us how many times 96 goes into 2,784, and thus, how many they can buy.
$2,784 ÷ $96 = 29!
So, they can buy 29 trash cans with that budget!
If this answer helped you, please give it a rating and a Thanks!
Have a great day!
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the number of odd numbers on a die
STEP 2: Find the probability of getting an odd number
STEP 3: Calculate the odd in favor
Hence, the odds in favorof rolling amn odd number on a fair die is 1
Answer:
These two samples are independent samples.
Step-by-step explanation:
Each object would then have two weight values (one from scale 1 and one from scale 2). Based on the nature of the differences in the two weight measurements for the 30 objects, the two scales may be compared.
These two samples are independent samples.
Though the objects are same but the scales are different.
Answer: The average rate of change is
Step-by-step explanation:
The points (1, 2); (2, 2.5); (3, 3); (4, 3.5) and (5, 4) belong to the line shown in the graph attached.
The average rate of change for the sequence is the slope and you can calculate it with the formula:
Then, choose two points of the line and substitute them into :
Let's choose the point (1,2) and the point (2,2.5). Then: