Step-by-step explanation:
mean = sum of observation/ no. of observation
mean = 3+5+6+4+7+3+9+8/ 8
<h2>mean = 45/8 = 5.6</h2>
In short, the set formed by the negative integers, the number zero and the positive integers (or natural numbers) is called the set of integers. Integer is also known as a whole number.
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:
<h2>m∠LMN = 26°</h2>
Step-by-step explanation:
Since ∠LMN and ∠PQR are complementary it means that the sum of their angles is 90°
To find m∠LMN , add both m∠LMN and m∠PQR and equate it to 90 to find x then substitute the value of x into the expression for m∠LMN
That's
m∠LMN + m∠PQR = 90
4x - 2 + 9x + 1 = 90
13x - 1 = 90
13x = 90 + 1
13x = 91
Divide both sides by 13
x = 7
From the question
m∠LMN = (4x-2)
m∠LMN = 4(7) - 2 = 28 - 2
We have the final answer as
<h3>m∠LMN = 26°</h3>
Hope this helps you
Answer:
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Step-by-step explanation: