To answer, first, convert the given velocity in km/h to m/s as shown below,
(144 km / hr) x (1000 m / 1 km) x (1 hr / 3600 s) = 40 m/s
The acceleration (a) is solved by through the equation,
a = (Vf - Vi) / Δt
where Vf and Vi are final and initial velocities, respectively and Δt is change in time. Substituting the known values,
a = (0 - 40 m/s) / 12 s = -3.3 m/s²
Thus, the answer to this item is letter B.
Answer:
0.405 or 40.5%
Step-by-step explanation:
Let event A=having a periodontal disease
event B=having a heart attack
we are given
P(A)=P(having a periodontal disease)=0.30
P(B)=P(having a heart attack)=0.15
P(A/B)=P(have a periodontal disease/have a heart attack)=0.81
P(B/A)=P(have a heart attack/have a periodontal disease)=?
P(A/B)=P(A∩B)/P(B)
P(A∩B)=P(B)*P(A/B)=0.15*0.81=0.1215
P(B/A)=P(A∩B)/P(A)=0.1215/0.3=0.405
There is 40.5% probability that if someone has periodontal disease will have a heart attack.
The answer is C. when you have questions like these, its best to plug in an easy number and test it out.
Say the original radius was 2. That means the area of that sprinkler was 12.56 (if you use the formula Pi(radius)squared.
a number 3 times bigger then 2, is 6. (2 times 3 = 6) There fore, following the same formula as before, you plug that number in and get 113.04 as the area of the new sprinkler.
113.04 divided by 12.56 is 9
Answer:
f(x) = (x+5)^2 +12
The minimum value is 12
Step-by-step explanation:
f(x)=x^2+10x+37
The vertex will be the minimum value since this is an upwards opening parabola
Completing the square by taking the coefficient of x and squaring it adding it and subtracting it
f(x) = x^2+10x + (10/2) ^2 - (10/2) ^2+37
f(x) = ( x^2 +10x +25) -25+37
= ( x+5) ^2+12
Th is in vertex form y = ( x-h)^2 +k where (h,k) is the vertex
The vertex is (-5,12)
The minimum is the y value or 12
Answer:
Range = 5, Median = 9, Mode = 7
Step-by-step explanation:
First, we put them in order from least to greatest.
So its 7, 7, 7, 8, 10, 11, 12, 12
The range is the largest number minus the smallest number, so 12-7=5. The range is 5.
The median is the number in the middle, so we cross off numbers from both sides. That leaves us with 8 and 10. The number between them is 9, so the median is 9. (the actual process to find the median if there's 2 numbers in the middle is by adding them together and dividing them by 2)
The mode is just which number appears the most often. So 7 is the mode.
