Answer:
x = 27
Step-by-step explanation:
Supplementary angles add up to 180 degrees
65 + 5x - 20 = 180
45 +5x = 180
5x = 135
x = 27
Answer:
the probability that exactly 1 received a special accommodation is 0.3079
Step-by-step explanation:
Step 1: define the variable
x= the number of students who received a special accommodation.
Step 2: define the distribution of this variable
x ~ binomial distribution ( p=0.02, n=25)
this is because x is the number of succes in 25 trials.
Step 3: using the binomial distribution formula
P(x=1)= (25C1)*(0.05^1)*(1-0.05)^(25-1)=0.3079
where (25C1) is a combination
AB and CD do not intersect.
HOPE it helps!!!!!!
H = 2f / (m+1)
[multiply by (m+1)]
h(m+1) = 2f
[divide by 2]
f = (h (m + 1)) / 2
3b / (b+2) = 12 / (b+2)
[multiply by (b+2)]
3b = 12
[divide by 3]
b = 4
3 / (6x + 1) / 2 = 8 / (x + 4) / 3
[multiply both denominators to mike one denominator]
3 / 8(6x+1) = 8 / 3(x+4)
[expand brackets]
3 / (48x + 8) = 8 / (3x + 12)
[multiply by (48x + 8)]
3 = 8(48x + 8) / (3x+12)
[multiply by (3x+12)]
3(3x +12) = 4(48x + 8)
[simplify]
9x + 36 = 192x + 32
173x = 4
x = 4 / 173
0.99 cents is the cost of each cookie.
I hope I helped!
