Answer:
19,320
Step-by-step explanation:
Since the origin is the center of the dilation, this means we simply multiply every coordinate of the given point by the scale factor.
(6,12) would turn into (18,36) since
6*3 = 18
12*3 = 36
The final answer is (18,36)
Estimate
(x,y)
x=left right
y=up down
solution=intersection
looks like about 6.5 left or x=-6.5 and y=3.5 down or y=-3.5
(-6.5,-3.5) would be a good estimate
(if you did calculate it it would be (-32/5,-18/5) or about (-6.4,-3.6))
answer is first option
Answer:
1. 50%
Step-by-step explanation:
For each day, there are only two possible outcomes. Either it does rain, or it does not, so we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
We want to find
NNN + RNN + NRN + NNR
This is
So
![P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375/tex][tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.125 + 0.375 = 0.5](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B3%2C1%7D.%280.5%29%5E%7B1%7D.%280.5%29%5E%7B2%7D%20%3D%200.375%2Ftex%5D%3C%2Fp%3E%3Cp%3E%5Btex%5DP%28X%20%5Cleq%201%29%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%201%29%20%3D%200.125%20%2B%200.375%20%3D%200.5)
The correct answer is:
1. 50%
Step-by-step explanation:
The mean and standard deviation are:
μ = p
σ = √(pq/n)
Given p = 0.12, q = 0.88, and n = 200:
μ = 0.12
σ = √(0.12 × 0.88 / 200)
σ = 0.023
Since the sample is large, it can be approximated with a normal distribution. Find the z-score:
z = (x − μ) / σ
z = (0.14 − 0.12) / 0.023
z = 0.87
Use a calculator or table to find the probability:
P(Z > 0.87) = 1 − 0.8078
P(Z > 0.87) = 0.1922
