Answer:
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given mean of the Population = 25cm
Given standard deviation of the Population = 2.60
Let 'x' be the random variable in normal distribution
Given x=22

<u><em>Step(ii):</em></u>-
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = P( Z<-1.15)
= 1-P(Z>1.15)
= 1-( 0.5+A(1.15)
= 0.5 - A(1.15)
= 0.5 - 0.3749
= 0.1251
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
The 7th term of the sequence to the nearest thousandth is 223.949
<h3>What are geometric sequences?</h3>
These are sequence that increases in an exponential form.
The formula for calculating the nth term of a geometric sequence is expressed as:
Tn = ar^n-1
Given the following parameters
a = 75
r = 1.2
n = 7
Substitute the given parameter into the formula
T7 = 75(1.2)^6
T7 = 223.949
Hence the 7th term of the sequence to the nearest thousandth is 223.949
Learn more on geometric sequence here: brainly.com/question/9300199
yes obtuse angles measure over 90 degrees and less 180 degrees
6x + 52 > 130
Subtract 52 from both sides:
6x > 78
Divide both sides by 6:
X > 78/6
X > 13
No, while the difference represents the absolute magnitude of two numbers . . . for example . . .
The difference between 5 and 2 is . . . 3
The difference between 6.4 and 9.5 is . . . 3.1
. . . there is still the chance that the difference may be zero . . . in which case the difference is neither positive nor negative
. . . so in short . . . the answer is . . . <span>NO</span>