The function of the polynomial is (b) 
From the graph, we have the following highlights
- The graph crosses the x-axis at x = -1 and x = 3
- The graph touches the x-axis at x = -2
The above highlights mean that:
- The function has a multiplicity of 1 at x = -1 and x = 3
- The function has a multiplicity of 2 at x = -2
So, the function of the polynomial is:

Assume a = 1.
So, we have:

Multiply

Hence, the function of the polynomial is (b) 
Read more about polynomial graphs at:
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Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
Answer:
the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
Step-by-step explanation:
since the variance S² of the batch follows a normal distribution , then for a sample n of 20 distributions , then the random variable Z:
Z= S²*(n-1)/σ²
follows a χ² ( chi-squared) distribution with (n-1) degrees of freedom
since
S² > 3.10 , σ²= 1.75 , n= 20
thus
Z > 33.65
then from χ² distribution tables:
P(Z > 33.65) = 0.02020
therefore the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
Answer:
6 is a answer
Step-by-step explanation:
if it is x 3+3 is equal to 6
if it is 10+10 is equal to 20
Answer:
Use photo math, it will explain all the steps