This is an impossible triangle. The rules for determining if a triangle is possible are:
1.) a+b>c
2.) a+c>b
3.) b+c>a
We notice that when sides b and c (5cm and 4cm) are added, they are not greater than side a, so this triangle is not possible.
:)
12x+24
This is the answer
Step-by-step
Answer : The greatest number of red marbles is 24.
Explanation:
Let the number of red marbles be x
Let the number of blue marbles be y
Since we have given that sum of blue and red marbles is atmost 36
i.e. x+y ≤ 36 (Equation 1)
and we have also given that red marbles is twice of blue marbles .
i.e. x= 2y ( Equation 2)
By putting the value of x from( Equation 2) in ( Equation 1) ,
we have,
2y+y ≤ 36
⇒ 3y ≤ 36
⇒ y ≤
⇒ y≤ 12
Now, we put the value of y in Equation 1
x+ 12 ≤ 36
⇒ x ≤ 36-12
⇒ x ≤ 24
So the greatest number of red marbles are in the bags is 24 .
I believe the answer is E. 38
The standardized z-score is calculated as (actual score - mean)/(standard deviation).
A. Idonna's z-score would be (670 - 514)/118 = 1.322
Jonathan's z-score would be (26 - 20.9)/5.3 = 0.962
B. This implies that Idonna's score is higher, since it is more standard deviations above the mean.