X = 96
100 137.4
137.4x=(100)(96)
137.4x=9600
137.4x/137.4=9600/137.4
x=70%
Answer:
4. 54- 8.5x>20
Step-by-step explanation:
Catherine only has $54, so she cannot spend more than that.
The canvas will cost at least $20, but we don't know how much exactly.
The tubes cost $8.50 each.
So, she starts with a total budget of $54, out of which she will buy paints (8.5x) and she wants to have at least $20 left for canvas.
So, we transpose those facts into the inequity:
54 - 8.5x > 20
The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches. To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.
Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.
Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.
To compute for the z-score, we have
z-score = (x – μ) / (σ / √n)
where x is the computed/measured value, μ is the expected mean, σ is the standard deviation, and n is the number of samples.
Using the information we have,
z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68
In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.
Therefore, the answer is B.
Answer:
38000(Rounded to nearest 100)
Step-by-step explanation:
2018-2006=12 30000X1.02^12 =38047.2538
Answer:
f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground
Step-by-step explanation:
The function is a quadratic where t is time and f(t) is the height from the ground in meters. You can write the function f(t) = 4t2 − 8t + 8 in vertex form by completing the square. Complete the square by removing a GCF from 4t2 - 8t. Take the middle term and divide it in two. Add its square. Remember to subtract the square as well to maintain equality.
f(t) = 4t2 − 8t + 8
f(t) = 4(t2 - 2t) + 8 The middle term is -2t
f(t) = 4(t2 - 2t + 1) + 8 - 4 -2t/2 = -1; -1^2 = 1
f(t) = 4(t-1)^2 + 4 Add 1 and subtract 4 since 4*1 = 4.
The vertex (1,4) means at a minimum the roller coaster is 4 meters from the ground.
- f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
- f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 4 meters from the ground
- f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 1 meter from the ground
- f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground
