Answer:
The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Step-by-step explanation:
Let <em>X</em> represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.
It is provided that <em>X</em> follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.
Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.
That is,
P (<em>X</em>) = 0.0122
Texas Instruments has sold 75 million graphing calculators world- wide.
Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:
E (<em>X</em>) = n × P (<em>X</em>)
= 75 × 10⁶ × 0.0122
= 915000
Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Answer:2.25
Step-by-step explanation:it just is
I’m pretty sure this is AA similarity
Answer:
hmmm this is harder then i thought
Step-by-step explanation:
The proportional relation for t in terms of d is:
t = (53 min/day)*d.
<h3>
How to find the proportional relation?</h3>
A general proportional relation is written as:
y = k*x
Where k is the constant of proportionality.
Here we want a relation between t and d, so we write:
t = k*d
We would want to find the value of k.
We know that she practices 1484 minutes in 4 weeks.
In 4 weeks we have 28 days.
Then we have:
Replacing that in the proportional relation we get:
1484 min = k*28 days
Solving for k:
k = (1484 min)/(28 days) = 53 min/day
Then the proportional relation is:
t = (53 min/day)*d
If you want to learn more about proportional relations, you can read:
brainly.com/question/12242745