The range is the high and low points.
So (5, 2]
<h3>
Answer: y = 10</h3>
=====================================
Work Shown:
EI = EG
3y-10 = 2y
3y-10-2y = 0
y-10 = 0
y = 0+10
y = 10
Note how if y = 10, then
- EI = 3y-10 = 3*10-10 = 20
- EG = 2y = 2*10 = 20
Both EI and EG are 20 units long when y = 10. This confirms the answer.
Answer:
the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378
Step-by-step explanation:
Given the data in the question;
the cumulative distribution function F(x) =
;
probability the person's reaction time will be between 0.9 and 1.1 seconds
P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )
P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)
= [
] - [
]
we substitute
= [
] - [
]
= [
] - [
]
= [
] - [
]
= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]
= 0.8920203 - 0.8542062
= 0.0378
Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378
A store manager is redesigning a display shelf. The width of an individual deodorant is 2.576 inches
Width of each deodorant = 2.576 inches
We need to store 25 individual deodorants side by side
Width of 1 deodorant = 2.576 inches
Width of 25 deodorant = 2.576 * 25 inches= 64.4 inches
The shelf must be 64.4 inches wide to store 25 individual deodorants side by side