Answer:
WE reject the Null and conclude that one of the drug is more effective than the other.
Step-by-step explanation:
Given :
Diet 1 3.4 10.9 2.8 7.8 0.9 5.2 2.5 10.5 7.1 7.5
Diet 2 11.9 13.1 11.6 6.8 6.8 8.8 12.5 8.6 17.5 10.3
This is a matched pair sample :
The hypothesis :
H0 : μd = 0
H1 : μd ≠ 0
Hence, we intun the difference between the two groups of value :
Difference, d = -8.9,-2.2,-8.8,1,-5.9,-3.6,-10,1.9,-10.4,-2.8
The test statistic :
dbar ÷ (Sd/√n)
dbar = mean of difference = Σd / n = - 49.7 / 10 = - 4.97
Standard deviation of difference, Sd = 4.51
Test statistic :
-4.97 ÷ (4.51/√10)
Test statistic = - 3.485
The sample size, n = 10
df = n - 1 ; 10 - 1 = 9
Critical value (0.10, 9) = 1.833
If Test statistic > |Critical value |
Since 3.486 > 1.833 ; WE reject the Null and conclude that one of the drug is more effective than the other
Hey there!!
In order to solve this equation, we will have to use the distributive property.
What is distributive property?
We will need to distribute one term to the other terms preset.
Example : 4 ( 3x - 1 )
sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1
( 4 × 3x ) + ( 4 × -1 )
12x + ( -4 )
= 12x - 4
This is after implementing the distributive property.
Now moving back onto the question
4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )
Let us first solve 4 ( x + 5 )
Distribute 4 to x and 5
( 4 × x ) + ( 4 × 5 )
4x + 20
Now let's solve 3 ( x - 2 )
Distribute 3 to x and -2
( 3 × x ) + ( 3 × - 2 )
3x - 6
Solve for -2 ( x + 2 )
Distribute -2 to x and 2
( -2 × x ) + ( -2 × 2 )
-2x - 4
Now, let's get everything back together
4x + 20 = 3x - 6 - 2x - 4
Combine all the like terms
4x + 20 = x - 10
Adding 10 on both sides
4x + 20 + 10 = x - 10 + 10
4x + 30 = x
Subtracting 4x on both sides
4x - 4x + 30 = x - 4x
30 = -3x
Dividing by -3 on both sides
30 / -3 = -3x / -3
- 10 = x
<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>
Answer:
3 1/2
Step-by-step explanation:
Given that:
Angel lives 3 3/4 blocks to the east of school
Tyrone lives 7 1/4 blocks to the west of Tyrone
Nadeem lives 8 blocks to the east of Tyrone.
Determining each of their homes in terms of distance from school :
Angel = 3 3/4 blocks from school
Tyrone = 7 1/4 blocks to the west of angel
Hence, distance from school will be :
7 1/4 - 3 3/4 = 3 1/2 blocks to the west of school
Nadeem = 8 blocks to the east of Tyrone :
Distance from school will be:
8 - 3 1/2 = 4 1/2 to the east of school.
Hence, 3 1/2 to the west of school is the closet distance of the three.
Hence, Tyrone lives closest to school
Answer:
I believe 4, but I might be wrong.
Step-by-step explanation:
If you look, it's going down -4 every time. So that means if you're going up, it's going +4 after you skip a space. So, skip, then 0, then skip, and that's 4.