it would be 18 student tickets and 12 adult tickets
18x25= 450
12x30 = 360
360+450 = 810
Answer:
1. x = 16
2. x = 17
Step-by-step explanation:
1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:
46 + 93 + 47 + 4x + 62 + 3x = 360
Combine like terms:
248 + 7x = 360
Subtract 248 from both sides of the equation to isolate 7x:
7x = 112
Divide both sides by 7 to find the value of x:
x = 16
2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:
5x + 139 + 9x + 71 + 92 = 540
Combine like terms:
14x + 302 = 540
Subtract 302 from both sides to isolate the 14x:
14x = 238
Divide both sides by 14 to find the value of x:
x = 17
I hope this helps :)
Answer:
The probability is 0.683
Step-by-step explanation:
To calculate this, we shall be needing to calculate the z-scores of both temperatures
mathematically;
z-score = (x-mean)/SD
From the question mean = 78 and SD = 5
For 73
z-score = (73-78)/5 = -5/5 = -1
For 83
z-score = (83-78)/5 = 5/5 = 1
So the probability we want to calculate is within the following range of z-scores;
P(-1 <z <1 )
Mathematically, this is same as ;
P(z<1) - P(z<-1)
Using the normal distribution table;
P(-1<z<1) = 0.68269 which is approximately 0.683
Step-by-step explanation:
R = 6.5cm and r = 2.3 cm
area of the shaded region = area of the outer circle - area of the inner circle
= πR²-πr²
=π(R²-r²)
=π{(6.5)²-(2.3)²}
=π (42.25-5.29)
= 3.14× 36.96
= 115.866
= 116 cm²
