Answer:

Step-by-step explanation:
We want to prove algebraically that:

is a parabola.
We use the relations

and

Before we substitute, let us rewrite the equation to get:

Or

Expand :

We now substitute to get:

This means that:

Square:

Expand:




This is a parabola (0,2.5) and turns upside down.
The correct answer is BN.
Question 2. :
8^2 = 64 and 9^2 = 81, therefore the square root of 65 falls between these two values, 8 and 9, 64<65<81
Question 3. :
13^2 = 169 and 14^2 = 196, the correct answer is square root of 175, because 169<175<196
Hope this helps, you only need to know the squared values and square roots.
Answer:
(0.0706, 0.1294)
Step-by-step explanation:
Confidence interval of a proportion is:
CI = p ± CV × SE
where p is the proportion,
CV is the critical value (z score or t score),
and SE is the standard error.
The sample is large enough to estimate as normal. For 95% confidence level, CV = z = 1.96.
Standard error for a proportion is:
SE = √(pq/n)
SE = √(0.1 × 0.9 / 400)
SE = 0.015
The confidence interval is:
CI = 0.1 ± (1.96)(0.015)
CI = (0.0706, 0.1294)
Round as needed.
Set up a system of equations.
When you're shopping you multiply how many of the same item you buy with the item's price. Example if an apple costs 20 cents, 5 apples cost a dollar
4.55A + 5.75B = 898.00
A+B = 176 Number of type A and type B total
Get B or A by itself. Let's do B. Subtract A from both sides:
B= 176-A
Plug in B into the other equation.
4.55A + 5.75B = 898.00
4.55A + 5.75(176-A) = 898.00
Solve for A.
4.55A +1012 - 5.75A = 898.00
-1.2A = -114
A = 95
Now you know A, you can find B. Plug A into any equation to get B.
95 + B = 176
B=?