Given:
Vertex 1 (-2,-3)
Vertex 2 (3,5)
Vertex 3 (8,-1)
Reflection across the x-axis rule (x,y) → (x -y)
Vertex 1 (-2,-3) → (-2,-(-3)) → (-2,3)
Vertex 2 (3,5) → (3,-5)
Vertex 3 (8,-1) → (8,-(-1)) → (8,1)
Rotation 90° clockwise (x,y) → (y,-x) *I'm assuming the original triangle was rotated and not the reflection.
Vertex 1 (-2,-3) → (-3,-(-2)) → (-3,2)
Vertex 2 (3,5) → (5,-3)
Vertex 3 (8,-1) → (-1,-8)
No one knows exactly how many deaths there are per minute
Answer:
-4
Step-by-step explanation:
The function is linear; therefore, the slope of the line joining any two points is the same.
We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).
The slope
of the line joining the points is

The slope of the function is -4.
Answer:
Step-by-step explanation:
Hello!
The study variable is:
X: number of customers that recognize a new product out of 120.
There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.
The sample proportion obtained is:
p'= 54/120= 0.45
Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p;
)
The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5
The probability of getting the calculated sample proportion, or lower is:
P(X≤0.45)= P(Z≤
)= P(Z≤-3.35)= 0.000
This type of problem is for the sample proportion.
I hope this helps!
Answer:
28
Step-by-step explanation: