Answer:
The answer is (-5)(-9).
Step-by-step explanation:
As you multiply 2 negative number together, it will equals to positive number :
(-5)×(-9) = 45
Answer:
<em><u>The number of students that like only Nokia </u></em>
<h2>= 30</h2>
Step-by-step explanation:
consider N the number of students who like Nokia → N=?
T the number of students who like Techno → T=35
Statement 1: In a class of 40 students, 5 like neither Nokia nor Techno
we can translate it like this: 35 student like Nokia or Techno
we can note it like this : T∪N= 35
Statement 2: 30 like Techno and Nokia
we can note it : T∩N = 30
using a rule concerning the number of element of a set :
T∪N = N + T - T∩N
then
35 = N + 35 - 30
⇒ N - 30 = 0
⇒ N = 30
<u>Given</u>:
Given that there are 10 marbles in a bag. 4 are blue, 3 are black, 2 are white and 1 is red.
The marbles are selected by not replacing the drawn ones.
We need to the probability of selected a black marble and then a white marble without replacement.
<u>Probability</u>:
Let B denote the black marble.
Let W denote the white marble.
The probability of selecting a black marble is ![P(B)=\frac{3}{10}](https://tex.z-dn.net/?f=P%28B%29%3D%5Cfrac%7B3%7D%7B10%7D)
The probability of selecting a white marble without replacement is ![P(W)=\frac{2}{9}](https://tex.z-dn.net/?f=P%28W%29%3D%5Cfrac%7B2%7D%7B9%7D)
The probability of selecting a black marble and then a white marble without replacement is given by
![P(B \ and \ W)=P(B) \cdot P(W)](https://tex.z-dn.net/?f=P%28B%20%5C%20and%20%5C%20W%29%3DP%28B%29%20%5Ccdot%20P%28W%29)
Substituting the values, we get;
![P(B \ and \ W)=\frac{3}{10} \cdot \frac{2}{9}](https://tex.z-dn.net/?f=P%28B%20%5C%20and%20%5C%20W%29%3D%5Cfrac%7B3%7D%7B10%7D%20%5Ccdot%20%5Cfrac%7B2%7D%7B9%7D)
![P(B \ and \ W)=\frac{6}{90}](https://tex.z-dn.net/?f=P%28B%20%5C%20and%20%5C%20W%29%3D%5Cfrac%7B6%7D%7B90%7D)
![P(B \ and \ W)=\frac{1}{15}](https://tex.z-dn.net/?f=P%28B%20%5C%20and%20%5C%20W%29%3D%5Cfrac%7B1%7D%7B15%7D)
Thus, the probability of selecting a black marble and then a white marble without replacement is ![\frac{1}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B15%7D)
Answer:
A = 1863
Step-by-step explanation:
There are a few ways you could do this but I will do the one I know best.
Keep in mind the area is the L(enght x W(idth) = A(rea)
There are two long rectangles if you cut off the square in the middle so find the area of those two first.
31 x 23 = 713
713 x 2 = 1426 (Did this to get the area for both of them.
Now find the area of the square.
23 x 19 = 437
The you would add them all up together to get 1426 + 437 = 1863
Hope this helps :)