Answer:
1,539
Step-by-step explanation:
Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to
where
<em>Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9)
</em>
<em>p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35
</em>
<em>q = 1-p = 0.65
</em>
<em>e = the error proportion = 2% = 0.02
</em>
Making the calculations
So, the sample size should be 1,539 young urban people (ages 21 to 35 years)
B is a translation, which is moving.
A is a rotation, and C is a reflection over the x-axis.
Answer:
Step-by-step explanation:
Multiply 3 times 4x which gives you 12. Multiply 3 times 2 which gives you 6. Your final answer is 12x+6
Answer:
θ= 150°
Step-by-step explanation:
Look at the picture below
We can model the equation of the height of the rocket as ∩-shape curve as shown below
Part A:
The time when the height is 720 feet
, rearrange to make one side is zero
, divide each term by 16
, factorise to give
and
So the rocket reaches the height of 720 feet twice; when t=5 and t=9
Part B:
We will need to find the values of t when the rocket on the ground. The first value of t will be zero as this will be when t=0. We can find the other value of t by equating the function by 0
and
and
So the time interval when the rocket was launched and when it hits the ground is 14-0 = 14 seconds
