Answer:
Option B) 0.1032; fail to reject
Step-by-step explanation:
We are given the following information in the question:
We used two tailed z-test to perform the hypothesis.
Level of significance, α = 0.05
We have to calculate the p-value.
We calculate the p-value from the normal standard z-table.
p-value = 0.1032
Since,
p-value > Level of significance
We fail to reject the null hypothesis and accept it.
Option B) 0.1032; fail to reject null hypothesis
The answer is 4.5 hours.
120 miles/2 hours = 60 mph
270-120 = 150 miles
150 miles/60 mph = 2.5 hrs
2 hrs+2.5 hrs = 4.5 hours for the whole trip
C'=1.5
c/c'=d/d'
c/1.5=8
c=12
hope that helps :)
Answer: Area of Parallelogram is 28 units squared.
Step-by-step explanation:
Knowing, any two vector sides of a parallelogram sharing the same initial point, we can find the area of parallelogram that two vectors are shaping, using the cross product of these two vectors a×b, where the area is given by
Area= |a×b| ___ (1)
From the given points,we may choose any three of them such and find a two vector and expresses the sides of parallelogram " or one side and a diagonal of parallelogram" ,we may choose for example B ,C and D.
Moreover, we may choose point B, to be common point for the two sides " the initial point of two vector" thus we need to find vector BD and vector BC .
Calculations are given in picture.
Given that the ball has a thickness of 1 cm and the radius at the outside is 5 cm, thus the radius from inside is 5 - 1 = 4cm.
The <span>approximate volume of rubber used to make the ball is given by the volume of the ball at the outside surface minus the volume of the ball at the inside surface.
i.e.
</span>
<span>
</span>