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
Answer:
<u>3.14 cm²</u>
Step-by-step explanation:
<u>Given :-</u>
Diameter = 2 cm
<u>To Find :-</u>
Area
<u>Formula Required :-</u>
Area (circle) = πr²
<u>Solving :-</u>
Area = 3.14 x 1 x 1
= 3.14 x 1
= <u>3.14 cm²</u>
<u>Solution :-</u>
<u>3.14 cm²</u>
Take the 5 in 15 and multiply it by 2. Write it. Then take the 5 and multiply it by 1. Write it. On the next line write a zero and then take the 1 multiplied by 2 and then 1 times 1. Here is an example... it's a little complicated to explain but here...
12
15
----
60
120
-------
180
So sorry I can't explain things well...
Answer:
Step-by-step explanation:
Answer:
a = 9.849
b = 20.25
c = 491.03
Step-by-step explanation:
By using Pythagoras theorem in the right triangle BDC,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
BC² = BD² + DC²
a² = 9² + 4²
a =
a =
a = 9.8489
a ≈ 9.849 units
By mean proportional theorem,
AD × DC = BD²
b × 4 = 9²
b =
b = 20.25 units
BY Pythagoras theorem in ΔADB,
AB² = AD² + BD²
c² = b² + 9²
c² = (20.25)² + 9²
c² = 410.0625 + 81
c = 491.0625
c = 491. 063 units