Answer:
(A) The population's growth rate in equation form is y = (0.016t * 7652) + 7652
(B) y = (0.016t * 7652) + 7652 =
y = (0.016(8) * 7652) + 7652 =
y = (0.128 * 7652) + 7652 =
y = 979.456 + 7652 =
y = 8631.456 (Or About) 8631
Step-by-step explanation:
(A) Y = the total population of the town. 0.016 is 1.6% just in its original form. T = the year in which were trying to find the town's total population. 7652 is the total population of the town in 2016. With this information, the equation reads, The total population of the town (Y) is equal to 16% (0.016) of the current year's population (T) added to 2016's population of 7652. (This last sentence can also be read what is 1.6% of the towns population in the year were trying to find. Because the population is always growing, 1.6% gets multiplied as to scale with the total population in year T)
(B) We just substitute (T) for 2024, or 8 years after 2016 (2024-2016) and simplify the equation we made.
21.50 x 25 = 537.50
10.75 x 5 = 53.75
537.50 + 53.75 = 591.25
Probabilities are used to determine the likelihood of events
The value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056
<h3>How to estimate the probability</h3>
To calculate the probability, we make use of the following representations:
- Event A represents the likelihood of thinking of a song
- Event B represents the likelihood of turning on the radio and hearing the song
So, we have:
P(thinking of a song)P(turn on the radio and hear the song) = P(A) * P(B)
Assume that:
P(A) = 0.12 and P(B) = 0.47
So, we have:
P(thinking of a song)P(turn on the radio and hear the song) = 0.12* 0.47
Evaluate the product
P(thinking of a song)P(turn on the radio and hear the song) = 0.0564
Approximate
P(thinking of a song)P(turn on the radio and hear the song) = 0.056
Hence, the value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056
Read more about probabilities at:
brainly.com/question/25870256
Answer:
B- It cannot be answered without additional information.
Step-by-step explanation:
From the question, we have α= 0.01 and α= 0.05.
Thus;
We can decide to look at the critical values and check if test statistic is less or more than the tabulated value for α= 0.01 and 0.05.
However, that will not be sufficient as neither the level of significance nor confidence level is clearly mentioned in the question and thus, we can not answer it without additional information.
Answer: x > 6, x < -8
Subtract 4 from both sides.
−3∣x+1∣<−17−4
Then simplify -17 - 4 to -21.
−3∣x+1∣<−21
Divide both sides by −3.
|x + 1| > -21/-3
Two negatives make a positive.
|x + 1| > 21/3
simplify 21/3 to 7
Break down the problem into these 2 equations.
x + 1 > 7
-(x + 1) > 7
Solve the 1st equation: x + 1 > 7
x > 6
Solve the 2nd equation: -(x + 1) > 7
x < -8
last collect all solutions
x > 6, x < -8
