Answer:
60 and 120
Step-by-step explanation:
The LCM of 12 and 15 is 60
The smallest natural number that would be a multiple of 12 and 15 would be 60.
To find the second number, all you do is multiply 60 by 2 and you get 120.
(60 * 2 = 120)
Answer: F
Step-by-step explanation:
For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.
2x=10
x=5
Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.
The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
Answer:
A. The ability to do something well without wasted time or effort.
Answer:
c = 15 meters
Step-by-step explanation:
This is solveable using the Pythagorean Theorem,
let's say a = 9 and b = 12,
a^2 + b^2 = c^2, so
9^2 + 12^2 = 225 then,
sqrt(225) = 15, so c = 15 m
