Answer:
Step-by-step explanation:
In , notice the third term of the quadratic in standard form is formed entirely by .
Therefore, in :
.
Now that we found , we must find . The first term of the quadratic in standard form is formed entirely by . Therefore:
.
Answer:
<h2>x = -5</h2><h2>y = -2</h2>
Step-by-step explanation:
X= # students who got lower grades
2x+3= # students with grade A
STEP 1:
Add the two sets above equal to 24.
x + (2x + 3)= 24
combine like terms
3x + 3= 24
subtract 3 from both sides
3x= 21
divide both sides by 3
x= 7 (# students lower than A)
STEP 2:
substitute x value from step 1 to find # grade A students
=2x + 3
=2(7) + 3
=14 + 3
=17 (# grade A students)
CHECK:
x + (2x + 3)= 24
7 + 2(7) + 3= 24
7 + 14 + 3= 24
24= 24
ANSWER: There were 17 students with grade A.
Hope this helps! :)
In a parallelogram, if two opposites are congruent, then the two opposites are equal. We apply this description to solve the problem.
∠O = ∠M since they are opposite
2x = 3x - 55
55 = 3x - 2x
55 = x
Total of all angles in the parallelogram is 360°
∠L + ∠N +∠O +∠M=360°
360° - ∠O -∠M = ∠L + ∠N note that ∠L =∠N
360° -110° -110° = 2∠N
70° = ∠N
Solving for Y,
∠N = 5Y = 70°
Y=70/5
Y=14
Therefore, the value of "x" is 55 and the value of "y" is 14. The answer is the letter "C".
Answer:
And the best option would be:
4. Minimum: 869.69; maximum: 961.17
Step-by-step explanation:
We can assume that the variable of interst X is distributed with a binomial distribution and we can use the normal approximation.
For this case the mean would be given by:
And the standard deviation would be:
And if we find the limits we got:
And the best option would be:
4. Minimum: 869.69; maximum: 961.17