Calculate f(x) for all numbers between 0 and 10:
f(0) = −0^2 + 11(0) − 18 = -18
f(1) = −1^2 + 11(1) − 18 = -8
f(2) = −2^2 + 11(2) − 18 = 0
f(3) = −3^2 + 11(3) − 18 = 6
f(4) = −4^2 + 11(4) − 18 = 10
f(5) = −5^2 + 11(5) − 18 = 12
f(6) = −6^2 + 11(6) − 18 = 12
f(7) = −7^2 + 11(7) − 18 = 10
f(8) = −8^2 + 11(8) − 18 = 6
f(9) = −9^2 + 11(9) − 18 = 0
f(10) = −10^2 + 11(10) − 18 = -8
When the value is negative it doesn't drip, so it starts and stops dripping when the values = 0
Which is f(2) and f(9), the values are 2 and 9.
Answer:
1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.
Step-by-step explanation:
Hello!
The historical information indicates that 60% of the forest trees are classified as softwood.
A botanist thinks that the proportion might be greater than 60%, so he tested his belief obtaining:
H₀: p = 0.60
H₁: p > 0.60
p-value: 0.015
You need to interpret this p-value. Little reminder:
The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis. It represents the % of size n samples from a population with proportion p=p₀, which will produce a measure that provides evidence as (or stronger) than the current sample that p is not equal to p₀.
The correct answer is:
1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.
I hope this helps!
5t = 15.55. Here's why:
Since in the equation 9t = 27.99 is basically multiply two numbers to get a product, divide 27.99 by 9:
27.99/9 = 3.11
3.11 is the value of t. So now that we've found the value of t, plug it into the equation 5t like so:
5*3.11 = 15.55
I hope this helped you out! :)
Answer:
Step-by-step explanation:
A) The constant of proportionality in terms of minutes per bracelet is
15/3 = 5 minutes per bracelet
B) The constant of proportionality represents man hour rate
C) let k = constant of proportionality, t = time in minutes and b = number of bracelets produced. Therefore,
t = kb
D) the constant of proportionality in terms of number of bracelets per minute is
3/15 = 1/5
E) The constant of proportionality represents production rate
F) let k = constant of proportionality, t = time in minutes and b = number of bracelets produced. Therefore,
b = kt
G) The constants of proportionality are reciprocals
H) Two equations are equivalent if they have the same solution. They are not equivalent. By inputting the different values of k, the solutions will always be the same. Therefore, they are equivalent.
Answer:
-2+sqrt(3)
Step-by-step explanation:
When cos(angle)=sqrt(3)/2
then sin(of that angle)= + or - 1/2 depending on the quadrant
Anyways 330 degrees is in the 4 quadrant. Cosine is positive there while sine is negative.
so sin(330)=-1/2
Formula for tan(x/2)=(1-cos(x))/sin(x)
Therefore tan(165)=tan(330/2)=(1-cos(330))/sin(330)=(1-sqrt(3)/2)/(-1/2)
Multiply top and bottom by 2 to get
tan(165)=(2-sqrt(3))/-1
tan(165)=-2+sqrt(3)
