Answer:
Option A.
Step-by-step explanation:
Properties of the similarity of two polygons,
1). All angles of one polygon will be equal to the angles of the other polygon.
2). Their corresponding sides will be in the same ratio.
If the measures of corresponding angles of KLMN and ABCD are equal, but the lengths of the corresponding sides of ABCD are half those of KLMN,
Then the polygons ABCD and KLMN will be similar.
Option A will be the answer.
Answer:
Permutation
Step-by-step explanation:
Since we are talking about passwords the order of the letters matters, i.e, the pasword UpT is different to the pasword pUT. Therefore, the problem involves all the permutations of 33 letters, from the given letters, where no repetitions of letters are allowed.
This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get
i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:
where 
is a compact way to indicate both solutions 
and 
, while 
are the coefficients of the quadratic equation, i.e. we consider the polynomial 
.
So, in your case, we have 
Plug those values into the formula to get
So, the two solutions are
Answer:
Confidence interval: (0.04649,0.04913)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 100,000
Number of people who donated, x = 4781
95% Confidence interval:
Putting the values, we get:
is the required 95% confidence interval for the true proportion of their entire mailing list who may donate.
Answer:
x≤-2
Step-by-step explanation:
To solve the inequality, we have to add 1 on each side:
5x-1≤11
+1 +1
And then we get:
5x≤-10.
To find x, we have to divide each side by 5:
5x/5≤-10/5
After we do that, we get:
x≤-2.
