Answer:
Angle A = 37 degrees, and Angle B = 53 degrees.
Step-by-step explanation:
We know that this is a right triangle, where angle C is 90 degrees. Since we know the sum of all these angles is 180 in any triangle, we can create an equation.
Angle A = 6x + 7
Angle B = 11x-2
Angle C = 90 degrees
A + B + C = 180
Substitute:
6x + 7 + 11x - 2 + 90 = 180
17x + 5 + 90 = 180
17x + 5 = 90
17x = 85
x = 5
Now substitute 5 for x in both acute angles and you will get your answer.
Angle A = 6(5) + 7
Angle A = 30 + 7
Angle A = 37
Angle B = 11(5) - 2
Angle B = 55 - 2
Angle B = 53
Angle A = 37 degrees, and Angle B = 53 degrees.
Hope this helps.
• 18 baseball cards
• 12 football cards
The only relationships shown in the table is in week 1, where the ratio of baseball to football cards is baseball : football = 9:6
:)
Answer:
a) 4.387
b) Yes, because np & npq are greater than 10.
c) = 0.017
Step-by-step explanation:
Give data:
p = 0.69
n = 90
a) a
E(X) = np = 62.1
= 4.387
b)
np = 62.1
q = 1 - p = 1 - 0.69 = 0.31
npq = 19.251
Yes, because np & npq are greater than 10.
c.
[continuity correction]
= P(Z> 2.14 )
= 1 - P(Z<2.14)
= 1 - 0.983 (using table)
= 0.017
Answer:
B)y = 3x^2 - 3x-18
Step-by-step explanation:
y = (3x – 9)(x + 2)
y = 3x*x+3x*2-9*x-9*2
y = 3x^2 +6x-9x-18
y = 3x^2 - 3x-18
