Answer:
49.34% probability that 5 to 8 televisions (inclusive) in the shipment have defective speakers
Step-by-step explanation:
For each television, there are only two possible outcomes. Either they have defective speakers, or they do not. The probabilities of each television having defective speakers are independent from each other. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Find an approximate probability that 5 to 8 televisions (inclusive) in the shipment have defective speakers
This is
So
49.34% probability that 5 to 8 televisions (inclusive) in the shipment have defective speakers
Answer:
f(x)=1/2x-6
Step-by-step explanation:
Answer:
Rosa's rate is 6 miles per hour
Step-by-step explanation:
Rosa rides for 3 hours and is 20 miles from her house.
After riding for 5 hours, she is 32 miles away
Let x represents the number of hours
and y represents the number of miles away
(3,20) and (5,32)
rate is the slope
to find rate we find change in miles over change in hours
so Rosa's rate is 6 miles per hour
Answer:
system of equations are
y=53x + 10, y=55x
Step-by-step explanation:
y=mx+b where x is the number of tickets purchased and y is the total cost.
We need to frame the equation for each option
Option 1: $53 for each ticket plus a shipping fee of $10
1 ticket cost = 53
So x tickets cost = 53x
shipping fee = $10 so b= 10
So equation becomes y=53x + 10
Option 2: $55 for each ticket and free shipping
1 ticket cost = 55
So x tickets cost = 55x
shipping fee =0 so b= 0
So equation becomes y=55x