<span>Since there is no files attached to see the shape of the distribution, let us just have it this way:
The statement, "Because the two distributions displayed below have similar shapes, they have the same standard deviation." is false. This is false because distributions having the same mean and standard deviation can have very different shape of distribution. </span>
Answer:
1. 2.9
2. 51 inches
3. (if you can send a picture of the question, I can tell you an answer.
Step-by-step explanation:
for number 1:
You have to add the scores on the left and divide it by the total. What I did was multiply each number on the right with it's pair and added it up. I got 111. Afterwards, I totalled the number of students (I got 38) and divided the scores by the number of students to get 2.9.
for number 2:
You do the same thing as number one but instead of multiplying pairs, you add the heights. I got 255 and then divided it by 5 total heights. I got 51 inches.
for number 3: I didn't get the graph to tell you the answer but I can tell you what everything means.
Symmetric means that both sides of the graph are equal and if you fold the graph in half horizontally, you should get the same shape.
Gaps are where you see blanks in the graph where the data gets cut off and then has stats again.
Cluster is when a huge amount of data is gathered in one area.
Peak is where the data (x-axis) reaches it's highest point (highest y-axis point).
Good luck and please give me Brainliest if you liked my answer!
Answer: (0, 2) and (6, 10)
Step-by-step explanation:
The acceleration is:
y = 7*sin( x*pi/4).
Over which interval is the acceleration increasing?
First, let's study the sin function:
Sin(θ) increases between -pi/2 and pi/2
Sin(θ) decreases between pi/2 and (3/2)*pi.
And so on.
Here we have:
θ = x*(pi/2)
When x = 0, θ = 0.
And sin(θ) is increasing in θ = 0.
Then we must choose one of the options that start with x = 0.
now it will stop increasing when:
θ = pi/2 = x*(pi/4)
x = 2.
So the acceleration is increasing in the segment (0,2)
And it will start increase again when:
θ = (3/2)*pi = x*(pi/4)
(3/2)*pi*(4/pi) = 6 = x.
So at x= 6 the acceleration starts increasing again, and the acceleration is only deffined until x = 10, then
the correct option is: (0, 2) and (6, 10)
Given the function h(x)=x^2+14x+41, to solve by completing square we procced as follows;
x^2+14x+41=0
x^2+14x=-41
but;
c=(b/2)^2
and b=14
hence;
c=(14/2)^2=49
substituting the value of c in the expression we get:
x^2+14x+49=-41+49
x^2+14x+49=8
(x+7)^2=8
this can be written in vertex form;
h(x)=a(x-h)^2+k
where:
(h,k) is the vertex;
thus
(x+7)^2=8
h(x)=(x+7)^2-8
hence the vertex will be at the point:
(-7,-8)
In order from top to bottom, 2,8,14,20
And it’s the second graph (right)
