Answer:
Step-by-step explanation:
Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as
z = (x - u)/s
Where
x = ticket sales from monday
u = mean amount of ticket
s = standard deviation
From the information given,
u = 500 tickets
s = 50 tickets
We want to find the probability that the mean will be greater than 510. It is expressed as
P(x greater than 510) = 1 - P(x lesser than or equal to 510)
For x = 510
z = (510 - 500)/50 = 0.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.9773
P(x greater than 510) = 1 - 0.9773 = 0.0227
Answer:
he owes $290
Step-by-step explanation:
Reciprocal
1/6 turns into 6/1 which is 6
Answer:
y = 10
Step-by-step explanation:
Given the 2 equations
y = - 2x + 4 → (1)
y = x² + 4x + 13 → (2)
Since both equations express y in terms of x we can equate them
x² + 4x + 3 = - 2x + 4 ( subtract - 2x + 4 from both sides )
x² + 6x + 9 = 0 ← in standard form
(x + 3)² = 0 ← in factored form
x + 3 = 0 ⇒ x = - 3 with multiplicity 2
Substitute x = - 3 into (1)
y = 6 + 4 = 10
Answer:
5.375 in. to the nearest thousandth.
Step-by-step explanation:
Area of a regular heptagon
= 7/4 * cot(pi/7) * s^2 where s is the length of one side.
105 = 7/4 * cot(pi/7) * s^2
s^2 = 105 / (7/4 cot (pi/7)
= 28.8945
s = sqrt 28.8945
= 5.375 in.
