Answer:
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
Step-by-step explanation:
According to the given data we have the following:
mean = μ= 22
standard deviation = σ = 2
n = 100
μx = 22
σx=σ/√n=2/√100=0.2
Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2
=P(z<-1)
= 0.159
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
Reflexive Property=For all real number X,X=X
A number equals itself
Addition Property=For all real number X,y & Z,. if
X=Y then X+y=y+Z
Subtraction Property=For all real number X,Y And Z if X=y then X-Z=y-Z.
Answer:
93.5
Step-by-step explanation:
55 multiply
<u>1.7</u>
385 ≥ add 385 and 550
<u>550</u>
935 and get 935
Hope this helped you!! i tried to label it the best i could.
Answer:
2.6% (Approx)
Step-by-step explanation:
Given:
Number of favor voter = 41% = 0.41
Random selected voters = 25
Exact favor voter = 15
Find:
Probability that exactly 15 will in favor.
Computation:
Number of non-favor voter = 1 - 0.41 = 0.59
Given question is a combination problem.
⇒ ²⁵C₁₅ × 0.41¹⁵ × 0.59¹⁰ =
⇒ 0.02598130
= 2.6% (Approx)
An easier way to do this is to make the fractions improper fractions.
3 1/6 can be rewritten as 19/6. 1 4/6 can be rewritten as 10/6. (Multiply the denominator by the number at its side, and add it to the numerator).
2 3/6 is 15/6.
Subtract 10/6 from 19/6.
19/6-10/6=9/6.
9/6 is not 15/6, therefore she did not use 2 3/6 yards of fabric.
