Answer:
Given the information in the question;
a) The parameter of interest is the population of artists who are left-handed and its is 10% = (10/1000 = 0.10
b) The Null hypothesis and alternative hypothesis are;
<em>H₀ : p </em>= 0.10
<em>H₁ : p</em> > 0.10
c) The sample proportion is calculated as:
p = number of left handed artist / sample size
p = 26 / 200
p = 0.13
d) To find the p-value, The researcher should calculate the probability that the sample proportion would be 0.13 or larger for a sample of size 200 if the population proportion is actually 0.10.
Answer:
Step-by-step explanation:
To do these the main think to consider is the boundaries of the functions. In other words, check when the boundary is true and use that function. And so,
If we look at 1a.) f(-3) this means that x=-3. Now check the boundary condition of both equations first. For 6x-1 use it only if x<0 well is -3<0? Yes, so we will use this function. But let's check why we won't use 7x+3 this is because the boundary is x≥0 and since x=-3, -3≥0 is false so we dont use that function. Therefore:
f(x)=6x-1
f(-3)= 6(-3) - 1 = -18 - 1 = -19
1b.) Same idea so we will use 7x+3 because 0≥0 is true and so:
f(x)= 7x + 3
f(0) = 7(0) + 3 = 0 + 3 = 3
1c.) We will use the second equation since 4≥0 is true and so:
f(x) = 7x + 3
f(4) = 7(4) + 3 = 28 + 3 = 31
You will use the same logic to solve 2 and 3. Good luck! Hope this helps!
Answer:
its option three
Step-by-step explanation:
Answer:
(
x−y)(x−1) is the answer to your problem
Answer:
Scale factor of 2
Step-by-step explanation:
The shape is doubled, therefore it is getting bigger. So we know the scale factor is bigger than 1. The fogure is doubled in size, therefore the scale factor is 2.