Answer:
8x = 136
Where: x = 17
Step-by-step explanation:
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Let the number of pages read per day = x
Hence, the number of pages after 8 days = 8 × x = 8x
Total number of pages = y= 136
Therefore:an equation relating x, the number of days, to y, the total pages.
= 136 = 8x
Solving for x
136/8 = x
x = 17
Answer: a. 1.981 < μ < 2.18
b. Yes.
Step-by-step explanation:
A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.
First, we calculate mean of the sample:
2.08
Now, we estimate standard deviation:
s = 0.1564
For t-score, we need to determine degree of freedom and 
:
df = 12 - 1
df = 11
= 1 - 0.95
α = 0.05
0.025
Then, t-score is
= 2.201
The interval will be
± 
2.08 ± 
2.08 ± 0.099
The 95% two-sided CI on the mean is 1.981 < μ < 2.18.
B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.
Answer:
1. new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16
3. The new area is 1/9 of the original area.
Step-by-step explanation:
1. side length1 = x
side length2 = y
2x + 2y = perimeter
2(4x) + 2(4)y = new perimeter
8x + 8y = new perimeter
new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.
3. Let the length of the rectangle be x
Let width of rectangle be y
Area of rectangle = L*W
Now Each side length of the rectangle is multiplied by 1/3
So, new area = (1/3)L * (1/3)W
=(1/9)LW
So, the new area is 1/9 of the original area.
Answer:
100 / 20 = 5
5 * 7 = 35
So the dog ate 35% of it
Step-by-step explanation:
yea so your welcome. im 7 btw
Answer:
56
Step-by-step explanation:
To divide 364 into two parts in the ratio 15:11, add 15+11 to get 26. Now divide 364 by 26 to get 14. This counters 14 for each part, and we have 26 parts. If each part is x, and x=14, x times 15 will equal 15x=210, so the first number is 210. x times 11 will equal 11x=154, so the second number is 154. 210-154=56, so the first number is 56 bigger than the second.
