The least common multiple of 9,2 and 12 is 36.
2: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,<u>36</u>
9: 9,18,27,<u>36</u>
12: 12,24,<u>36</u>
Answer: 36
Answer:
Step-by-step explanation:
Hello!
The objective of the research is to compare the newly designed drug to reduce blood pressure with the standard drug to test if the new one is more effective.
Two randomly selected groups of subjects where determined, one took the standard drug (1- Control) and the second one took the new drug (2-New)
1. Control
X₁: Reduction of the blood pressure of a subject that took the standard drug.
n₁= 23
X[bar]= 18.52
S= 7.15
2. New
X₂: Reduction of the blood pressure of a subject that took the newly designed drug.
n₂= 21
X[bar]₂= 23.48
S₂= 8.01
The parameter of study is the difference between the two population means (no order is specified, I'll use New-Standard) μ₂ - μ₁
Assuming both variables have a normal distribution, there are two options to estimate the difference between the two means using a 95% CI.
1) The population variances are unknown and equal:
[(X[bar]₂-X[bar]₁)±
*(
)]
[23.48-18.52]±2.018*(
)]
[0.349; 9.571]
2) The population variables are unknown and different:
Welche's approximation:
[(X[bar]₂-X[bar]₁)±
*( 
)]
[(23.48-18.52)±2.018
]
[0.324; 9.596]
I hope this helps!
Answer:
172.5
Step-by-step explanation:
Use similar triangles and a proportion.
(tree height)/(tree shadow length) = (your height)/(your shadow length)
x/(270 ft)= (5 ft 9 in.)/(9 ft)
x/(270 ft)= (5 ft + 9/12 ft)/(9 ft)
x/(270 ft)= (5.75 ft)/(9 ft)
9x = 270 * 5.75 ft
x = 30 * 5.75 ft
x = 172.5 ft
Answer : p=2
2p-2-5x=-2(7-2x)
First, work on the parentheses. So the -2 on the outside as to be multiplied by the 7 , which gets -14 . Then you multiply the -2 by the 2x, which is 4x.
It will go from -2(7-2x) to -14+4x
But if the -14+4x looks too confusing, you can just switch them around to look “normal”. So it would be 4x-14 .
Now that we’re finished with one side of the problem, we’ll go to the other side.
On the left side , there are two variables, or letters. Because they are the same letter (p) all you have to do is add them together.
3p
-5p
+—-
-2p
And then just carry the -2 that was originally there , so it’s -2p-2
Now the equation is
-2p-2 = 4p-14
So we’re going to add 2p to both sides.
The -2p on the left cancels out, and the 4p on the right side becomes 6p
-2 = 6p-14
Next, you are going to want to isolate the variable. (Leave the letter by itself) so you add 14 to the -14 , so it can cancel out. (AND DO THE SAME ON THE OTHER SIDE)
So, you add 14 to the -2 on the left of the equation. Which comes out to 12.
12 = 6p
Lastly, divide the 6p , so you can get the letter on it’s own. And do the same on the other side.
12 divided by 6 is 2
2 = p
OR
p = 2
Answer:
<u>4.23 * 10³ = 4.23 * 1000 = 4,230</u>
Step-by-step explanation:
We should know that;
10³ = 10 * 10 * 10 = 1000
∴ 4.23 * 10³ = 4.23 * 1000 = 
= 4,230
