Answer:
x=0,-3
Step-by-step explanation:
x(x+3)(x+3)=0
Using the zero product property
x=0 x+3=0 x+3 =0
x=0 x=-3 x=-3
2
This means for every 1 can of black paint there are 2 cans of white paint in the mix
Step-by-step explanation:
The constant of proportionality is the gradient of line which can be evaluated as follows;
Gradient = delta y / delta x
Gradient = (y2 – y 1) / (x2 – x1)
We shall pick two points on the line graph in (x,y) format;
(3. 6) and (1, 2)
We evaluate the gradient now be repalivn the points on the formula;
Gradient = (2 – 6) / 1 – 3
Gradient = - 4 / - 2
Gradeint = 2/1 = 2
= 2
This means for every 1 can of black paint there are 2 cans of white paint in the mix
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Answer:
a) 
b) 
If we compare the p value and the significance level given we see that 
we have enough evidence to reject the null hypothesis at 5% of significance.
Step-by-step explanation:
Data given and notation
n=114 represent the random sample taken
estimated proportion of people that their approval rating might have changed
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Hypothesis
We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:
Null hypothesis:
Alternative hypothesis:
Part a
(1)
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Part b: Statistical decision
The significance level provided . The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:
If we compare the p value and the significance level given we see that we have enough evidence to reject the null hypothesis at 5% of significance.
Answer:
2×2×3×3×5 are the prime factors of 180
Step-by-step explanation:
If you draw a factor tree, you would find that 2x2x3x3x5 are the prime factors of 180
hope this helps :)
