Answer:
Test statistic z= 1.708
Step-by-step explanation:
given that a television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If this is to happen, it will have to move one of its most viewed shows to another slot.
Sample size n = 827
Sample proportion p = 
(right tailed test)
This is because they would be interested if more than half viewers are ready for the change
Test statistic = Z = p difference/std error
p difference = 0.0297
Std error =
Z =1.708
p valu e= 0.9562
Since p >0.05 we fail to reject H0
Test statistic z= 1.708
To find the area to be surrounded by a gravel path, we need to calculate two areas. First, the area of the whole space and, second, the area of the pond. We subtract these values to obtain the actual area for the gravel path.
A(whole space) = pi x (250)^2 = 62500π ft^2
A(pond) = pi x 200^2 = 40000π ft^2
Actual Area = 62500π ft^2 - 40000π ft^2 = 70686 ft^2 ----> OPTION A
My way of prime factorizing is to divide the number you are trying to find by the smallest prime factor. Take your result and divide again by the smallest prime factor of that result. Keep repeating this process until you get a prime number that can't be divided any further. The numbers you divided by and your final prime number are your prime factors. Remember that 1 is not a prime number!
It may help to see this using a factor tree (see image).
2 is the smallest prime number that divides 24, so break 24 down into 2 x 12. Now break down 12. Once again, 2 is the smallest prime number that divides 12. Break 12 down into 2 x 6. Now break down 6. Again, 2 is the smallest prime that divides 6, so break 6 down into 2 x 3. Since 3 is also prime, you've completely prime factorized 24. Your prime factors are circled in blue in the picture. Remember your final factors must all be prime - that's why it's called prime factorization!
Answer:
Step-by-step explanation:
2/c
3/both magnitude and direction are needed to define it.
4/Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector.
5/There are three ways an object can accelerate: a change in velocity, a change in direction, or a change in both velocity and direction.
6/The rate at which velocity changes with time is called Acceleration is a measure of how quickly the velocity is changing.
7/The instantaneous speed of an object is then the magnitude of its instantaneous velocity. Speed tells you how fast. Velocity tells you how fast and in what direction.
