Answer: QE = 10
Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.
This means that E is the midpoint of diagonal SQ.
So we can setup the equation x² + 9x = 4x + 6.
To solve this polynomial equation, set it equal to zero first.
So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0
when we factor the left side of the equation.
So this means that x = -6 or x = 1.
However, -6 will give us a negative length when we plug it in
to find QE so this will not work.
However, plugging 1 in will give us 10 as a length so QE = 10.
The integers are x - 1, x and x + 1
x - 1 + x + x + 1 = 186
3x = 186
x = 186/3 = 62
Therefore, the numbers are 61, 62 and 63
Answer: 0.1340
Step-by-step explanation:
The binomial distribution formula is given by :-
, where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.
Given : The number of employees over 50 years of age =7
The probability of employees over 50 years of age = 
Number of dismissed employees : n= 9
Now, the required probability will be :
Thus, the probability that exactly 1 employee was over 50 = 0.1340
Answer:
Sorry if this doesnt make help:
Step-by-step explanation:
When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the shapes are similar, compare their corresponding sides.
