Answer:
24 38%
25 17.04%
26 53%
Step-by-step explanation:
Q24
L = MN
M becomes 1.15M; N becomes 1.2N
L = (1.15M)(1.2N)
L = 1.38MN
L was MN; now L is 1.38MN
Answer: The percent increase in L is 38%
Q25
A = bh/2
A = 0.5ab
a becomes 1.33a; b becomes 0.88b
A = (1.33a)(0.88b)/2
A = 0.5852ab
The area increased from 0.5ab to 0.5852ab.
0.5852/0.5 = 1.1704
Answer: The percent increase in area is 17.04%
Q26
30% of members are male
70% of members are female
Male training for marathon: 60% of 30% = 18%
Female training for marathon: 50% of 70% = 35%
Total: 18% + 35% = 53%
Answer: 53%
Answer:
3.60
Step-by-step explanation:
Data provided in the question:
level of significance = 0.05
Sample size , n = 25 observations
correlation coefficient, r = 0.60
Now,
The test statistic to compute whether the population correlation is zero is given using the formula :
t =![\frac{r\sqrt{n-2}}{\sqrt{1-r^2}}](https://tex.z-dn.net/?f=%5Cfrac%7Br%5Csqrt%7Bn-2%7D%7D%7B%5Csqrt%7B1-r%5E2%7D%7D)
on substituting the respective values, we get
test statics , t = ![\frac{0.60\times\sqrt{25-2}}{\sqrt{1-0.60^2}}](https://tex.z-dn.net/?f=%5Cfrac%7B0.60%5Ctimes%5Csqrt%7B25-2%7D%7D%7B%5Csqrt%7B1-0.60%5E2%7D%7D)
or
t = 3.5968 ≈ 3.60
Answer:
The total number of pencils for Larry, Ben and Dejuan is expressed as:
5B - 4
Step-by-step explanation:
Let B represent the number of pens Ben has.
》Ben = B
》Larry = 3 × B = 3B
》Dejuan = B - 4
∴ Total number of pencils for the three of them
= B + 3B + (B - 4)
= 5B - 4
You can use the point slope equation (y - y1) = m(x - x1). y1 is the y coordinate of the point you want to pass, m is the slope, and x1 is the x coordinate
(y - 3) = 1/2(x + 3)
He could buy 6 combinations of stickers