Answer:
There are six numbers and only two ( 2, and 4) are even. The probability of landing on an even number is 2/6 = 1/3, but the probability of landing on an odd number is 4/6 = 2/3.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given equations are:
-9.5x – 2.5y = –4.3 (1)
and 7x + 2.5y = 0.8 (2)
Adding equation (1) and (2) together, we get
-9.5x-2.5y+7x+2.5y=-4.3+0.8
⇒-2.5x=-3.5
⇒x=1.4
Now, substitute the value of x=1.4 in equation (1),
-9.5(1.4)-2.5y=-4.3
⇒-13.3-2.5y=-4.3
⇒-13.3+4.3=2.5y
⇒-9=2.5y
⇒y=-3.6
Thus, the value of x and y are 1.4 and -3.6 respectively.
70% of the people were adults
First you subtract 1500-450 = 1050
Then you divide 1050/1500 = .7
Answer:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary
Step-by-step explanation:
Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:
Where
and
And we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary