Answer:
go down there
Step-by-step explanation:
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2x + 3 /12 = 2x/8
⇒ 48x/24 + 6/24 = 6x/24
⇒ (48x+ 6)/24= 6x/24
⇒ 48x+ 6 = 6x
⇒ 48x- 6x= -6
⇒ 42x= -6
⇒ x= -6/42
⇒ x= -1/7
<span>
x=-1/7~</span>
Answer:
the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
Step-by-step explanation:
since the variance S² of the batch follows a normal distribution , then for a sample n of 20 distributions , then the random variable Z:
Z= S²*(n-1)/σ²
follows a χ² ( chi-squared) distribution with (n-1) degrees of freedom
since
S² > 3.10 , σ²= 1.75 , n= 20
thus
Z > 33.65
then from χ² distribution tables:
P(Z > 33.65) = 0.02020
therefore the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
The answer is C, you can solve this by sin(30)= 8/c since sine is opposite over hypotenuse and since c equals 16 there is only one possible solution
