Answer:
There is sufficient evidence. A further explanation is provided below.
Step-by-step explanation:
According to the question,
The alternative as well as null hypothesis will be:
The test statistics will be:
⇒
By putting the values, we get
⇒
⇒
⇒
Or,
The p-value will be:
= 0.0071
i.e.,
⇒
Thus the above is the correct answer.
Answer:
Because there are fewer than 30 (not no more than 30) one of the answer i x+y < 30
Because he needs both small and large another answer is x>0 and not x 0
Finally because he need at least dozen large cones the last answer is y
Step-by-step explanation:
If x^2+bx+16 has at least one real root, then the equation x^2+bx+16=0 has at least one solution. The discriminant of a quadratic equation is b^2-4ac and it determines the nature of the roots. If the discriminant is zero, there is exactly one distinct real root. If the discriminant is positive, there are exactly two roots. The discriminant of <span>x^2+bx+16=0 is b^2-4(1)(16). The inequality here gives the values of b where the discriminant will be positive or zero:
b^2-4(1)(16) ≥ 0
</span><span>b^2-64 ≥ 0
(b+8)(b-8) </span><span>≥ 0
The answer is that all possible values of b are in the interval (-inf, -8]∪[8,inf) because those are the intervals where </span>(b+8)(b-8) is positive.
Answer:
C) 1/12
Step-by-step explanation:
P(2) = 1/6
P(Tail) = 1/2
1/6 × 1/2
1/12