The life of a Radio Shack record player is normally distributed with a mean of 3 years and a standard deviation of 1 years. Radio Shack guarantees its record players for 2 years.
Find the probability that a record player will last less than 2 years?
Answer:
the probability that a record player will last less than 2 years is 0.1586
Step-by-step explanation:
Given that:
A mean which is normally distributed = 3
and a standard deviation = 1
The objective is to find that a record player will last less than 2 years
Let X be the random variable
i.e
From the standard normal tables :
P(X < 2) = 0.1586
Therefore; the probability that a record player will last less than 2 years is 0.1586
Answer:
There were total 2900 seats in the theater.
Step-by-step explanation:
Given that:
Seats filled by students = 1247 seats
Vacant seats = 57%
Total percentage of seats = 100%
Percentage of seats filled by students = (100-57)%
Percentage of seats filled by students = 43%
Let,
x be the total number of seats.
43% of x = 1247
Dividing both sides by 0.43
Hence,
There were total 2900 seats in the theater.
Adult ticket costs= $46
Children ticket costs= $104
Let x represent the price of adult tickets
Let y represent the price of children tickets
x + y= 150.......equation 1
8x + 3y= 970........equation 2
From equation 1
x= 150 - y
substitute 150-y for x in equation 2
8(150-y) + 3y= 970
1200- 8y + 3y= 970
-8y + 3y= 970-1200
-5y= -230
y= 230/5
y= 46
From equation 1
x + y= 150
x + 46= 150
x= 150 - 46
x= 104
Hence the cost of children tickets is $104 and the cost of adult tickets is $46
Read more here
brainly.com/question/23158687?referrer=searchResults
#SPJ1
Answer:
Any value over 12
Here are some examples: 13, 14, 15, 20, 25, 40, 100, 123, 2930
Step-by-step explanation:
Answer:
y = 2x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = B(- 3, - 1 ) and (x₂, y₂ ) = A (1, 7)
m = = = 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 7 ) , then
7 = 2 + c ⇒ c = 7 - 2 = 5
y = 2x + 5 ← equation of line