Answer:
y+11=-2/3(x-6)
Step-by-step explanation:
To find the parallel line, we would just plug in the numbers in the point-slope form from what we're given. We have y=-2/3x+12 and (6,-11).
Point-slope form:
y-y1=m(x-x1) → y+11=-2/3(x-6)
m represents the slope, which is -2/3 in this situation.
y1 represents the y coordinate, which is -11 in this situation. However, when we plug in negative numbers in a point-slope form, we would do the opposite of the negative number, which is to make it a positive in point-slope form.
x1 represents the x coordinate, which is 6 in this situation.
Answer:
95% Confidence interval: (0.8449,0.9951)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 50
Number of times the dog is right, x = 46
95% Confidence interval:
Putting the values, we get:
(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.
The penny can land two ways.
The nickel can land two ways.
The dime can land two ways.
The quarter can land two ways.
The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities.
Only ONE result shows no heads . . .
TAIL-TAIL- TAIL-TAIL.
All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .
Answer:
rate of change can be used in a real life problem such as the rate that a pool fills up with water.
Answer: Question 1 :B,D.
Question 2:option B,
Question 3:Degree=5.
Question 4:option D.
Question 5: option c.
Step-by-step explanation:
1) A polynomial can not have any exponent as a variable or a fraction.
Options B and D are polynomials.
2) The polynomial is having 3 terms and is of degree 3.so it is a cubic trinomial Option B.
3) Degree is the highest power of the variables in the terms .The term 
has the power=3+2=5
So degree =5.
4)
Option D
5)
Simplifying like terms,
=
Option c.
