Answer:
Part A -> Function
Part B -> Function
Step-by-step explanation:
<u>Concept</u>
A relationship is a function only if there's a single y value corresponding to an x value. It can have the same y value for different x values but it <em>must not have multiply y values for a single x value</em>.
Below is an example
<u>Function</u> <u>Not a Function</u>
<u>x</u> <u>y</u> <u>x</u> <u>y</u>
1 5 1 5
2 6 2 7
3 5 1 6
<u>Part A</u>
Looking at the given graph, we see that the relationship has a single y value corresponding to an x value and so it is a function.
<u>Part B</u>
If there was the same number of bacteria for two consecutive hours it would mean the same y value for different x values. So, it would still remain a function.
Answer:
The mean and the standard deviation of the sampling distribution of the number of students who preferred to get out early are 0.533 and 0.82
Step-by-step explanation:
According to the given data we have the following:
Total sample of students= 150
80 students preferred to get out 10 minutes early
Therefore, the mean of the sampling distribution of the number of students who preferred to get out early is = 80/150 = 0.533
Therefore, standard deviation of the sampling distribution of the number of students who preferred to get out early= phat - p0/sqrt(p0(1-p)/)
= 0.533-0.5/sqrt(0.5*0.5/15))
= 0.816 = 0.82
-1/2 and -2 would be the answer
This would be because when you plug these number instead of x the answer is equal to or less than 13
<span>Formula: H(t) = 56t – 16t^2
</span>
H(t) = - 16t^2 + 56t
<span><span>A.
</span>What is the height of the ball after 1 second? H
(1) = 56(1) – 16(1) ^2 = 40 pt.</span>
<span><span>B.
</span>What is the maximum height? X = - (56)/2(- 16) =
1.75 sec h (1.75) = 56(1.75) – 16(1.75) ^2 h (1.75) = 49ft.</span>
<span><span>C.
</span><span>After how many seconds will it return to the
ground? – 16t^2 + 56t = 0 - 8t =0 t = 0</span></span>
<span><span>-
</span><span>8t (2 + - 7) = 0 2t – 7 = 0 t = 7/2
Ans: 3.5 seconds</span></span>
The missing side length is c = 25 units.
Step-by-step explanation:
Step 1:
The given triangle has a 24 unit long adjacent side and a 7 unit long opposite side.
As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
The length of the hypotenuse is given as c units.
Step 2:
According to Pythagoras theorem,
So the missing length, c of the given triangle is 25 units.
