Answer:
See explanation below.
Step-by-step explanation:
We have the statement that says that the sum of two two-digit numbers is a three digit number.
To prove that this statement is false, we only need to give a counterexample. This means that we have to find two two-digit numbers that does not sum a three digit number.
Let's take 11 and 12, if we sum them we have: 11 + 12 = 23.
23 is clearly a two digit number.
Therefore, the sum of two two-digit numbers is not a three digit number.
Answer:
The total area (including the area of the circle) would be 16 × 16 = 256 square centimetres.
The area of the circle would be (taking the value of pi as 3.14) is 200.96 square centimetres
The area of the shaded region would be 256 - 200. 96 = 55.04 square centimetres
Answer:
$46000
Step-by-step explanation:
if x represents the previous years revenue, and they made 35% more than x, we need to find what 35% of x is and then add it to x to get the new total, so the equation becomes:
x + .35x = 62100
1.35x = 62100
x = 46000
Given, (9x - 4)(9x + 4) = ax² - b
From algebraic identities:
We know, (a + b)(a - b) = a² - b²
Now, 81x² + 36x - 36x - 16 = ax² - b
81x² - 16 = axis² - b
So ax² = 81x²
a = 81
-b = -16
b = 16
Solution
Therefore, the value of a is 81.
<h2>MyHeritage</h2>
Answer:
a) 0.8333
b) 0.75
c) 0.8181 or 0.9090
Step-by-step explanation:
a)
The probability the visitor selects an authentic painting is
10/12 = 0.8333
b)
Since the opinion of the expert does not depend on your choice, the events are <em>independent</em>, so the probability that the expert says is authentic and it really is, is
0.8333*0.9 = 0.75
c)
If the expert decides the painting is a copy and it is not, then there are 11 paintings of which 9 are authentic, so the probability the visitor selects a new original painting is
9/11= 0.8181
If the expert decides the painting is a copy and it is, then there are 11 paintings of which 10 are authentic, so the probability the visitor selects a new original painting is
10/11= 0.9090
