Correct question is;
Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. D(t) models Tanyas remaining distance to walk in kilometers, t minutes since she left home. What number type is more appropriate for the domain of d?
Answer:
0 ≤ t ≤ 17 ; (0, 17)
Step-by-step explanation:
We are told that she has walked for 17 minutes from her home to a friend that lives 1.5 kilometers away.
Now, we want to find the domain of numbers that shows her remaining distance.
Since she spent 17 minutes, then it means in modeling remaining distance it could be from 0 to 17 minutes as the case may be. Thus, the domain can be written as;
0 ≤ t ≤ 17 ; (0, 17)
Answer:
Step-by-step explanation:
Given that: The perimeter of a square is: 32x - 12.8
As we all know that, the formula to find the perimeter of a square is:
Sum of the 4 side = 4* length of the side
=> the length of 1 side: The perimeter of a square / 4
In this situation, we have length of 1 side side is:
(32x - 12.8) / 4
= 32/4x - 12.8/4
= 8x - 3.2
The 1st equivalent expressions for the perimeter: 4 *(8x - 3.2)
The 2nd equivalent expressions for the perimeter: (8x - 3.2) + (8x - 3.2) + (8x - 3.2) + (8x - 3.2)
The 3rd equivalent expressions for the perimeter: 2*(8x - 3.2) + 2*(8x - 3.2)
So,
To what percent 34 is of 55, we first need to find the fraction equivalent.
34 out of 55 parts or 34/55
Divide 34 by 55.
34/55 = 0.61818...
Now, we move the decimal point 2 places to the right in order to convert it to a percent.
6.1818...
61.81818...
Rounded to the nearest hundredth: 61.82%
Rounded to the nearest tenth: 61.8%
Rounded to the nearest percent: 62%
Answer:
0.99865
Step-by-step explanation:
The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.
To solve the above question, we would be using the z score formula
The formula for calculating a z-score
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
In the above question,
x is 115 liters
μ is 100
σ is the population standard deviation is unknown. But we were given variance in the question.
Standard deviation = √Variance
Variance = 9
Hence, Standard deviation = √9 = 3
We go ahead to calculate our z score
z = (x-μ)/σ
z = (115 - 100) / 3
z = 15/ 3
z score = 5
Using the z score table of normal distribution to find the Probability of having a z score of 5
P(x = 115) = P(z = 5) =
0.99865
Therefore the probability that this year it will produce 115 liters of wine = 0.99865
Answer:d
Step-by-step explanation:
