Answer:
The length of the longer base he 35 units 
Step-by-step explanation:
Here, we want to find the length of the longer base of the trapezoid 
Mathematically, we can find the area using the formula;
1/2( a + b) h
where a is the shorter base 
b is the longer base 
h is the height 
Let the shorter base be x 
The other base is 5 times this length and that makes 5 * x = 5x 
Height is the average of both bases;
(x + 5x)/2 = 6x/2 = 3x
Substituting these in the formula, we have ;
1/2(x + 5x)3x = 441 
3x(6x) = 882 
18x^2 = 882 
 x^2 = 882/18
x^2 = 49
x^2 = 7^2
x = 7
But the longer base is 5x and that will be 5 * 7 = 35 units 
 
        
             
        
        
        
Answer:
$2.5
120 bagels
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Wait are u trying to find the area of a shape???
Step-by-step explanation:
 
        
             
        
        
        
Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271
<u>Using the binomial probability relation</u> : 
- P(x = x) = nCx * p^x * q^(n-x) 
- p = probability of success = 0.4
- q = 1 - p = 0.6
- n = number of trials = 100
P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)
<u>Using a binomial probability calculator</u> :
P(x ≥ 100) = 0.0271
Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271
Learn more :brainly.com/question/12474772