Answer:
y-8=5/6(x-12)
Step-by-step explanation:
y-y1=m(x-x1)
y-8=5/6(x-12)
Given:
Two planks are each 1.5 m long.
One plank is 2.5m long.
To find:
The total length of all the three planks.
Solution:
Two planks are each 1.5 m long. So,
First plank = 1.5 m
Second plank = 1.5 m
One plank is 2.5m long. So,
Third plank = 2.5 m
Now, the total length of all the three planks is



Therefore, the total length of all the three planks is 5.5 m.
Answer:
<u>Given expression:</u>
<u>The first root is valid when:</u>
- 2x + 2 ≥ 0 ⇒ 2x ≥ - 2 ⇒ x ≥ - 1
<u>The second root is valid when:</u>
- 6 - 4x ≥ 0 ⇒ 4x ≤ 6 ⇒ x ≤ 1.5
<u>So the variable x can get values within interval:</u>
- -1 ≤ x ≤ 1.5 or
- x = [-1, 1.5]
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Sample size, n = 30
Tcritical value = 2.045
Null hypothesis :
H0: μ = 9.08
Alternative hypothesis :
H1: μ≠ 9.08
Sample mean, m = 8.25
Samole standard deviation, s = 1.67
Test statistic : (m - μ) ÷ s/sqrt(n)
Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)
Test statistic : - 0.83 ÷ 0.3048988
Test statistic : - 2.722
Tstatistic = - 2.722
Decision region :
Reject Null ; if
Tstatistic < Tcritical
Tcritical : - 2.045
-2.722 < - 2.045 ; We reject the Null
Using the α - level (confidence interval) 0.05
The Pvalue for the data from Tstatistic calculator:
df = n - 1 =. 30 - 1 = 29
Pvalue = 0.0108
Reject H0 if :
Pvalue < α
0.0108 < 0.05 ; Hence, we reject the Null
Answer:
Orange ribbon Zoe use is 
Step-by-step explanation:
Given:
Zoe had 3 1 /8 feet of orange ribbon. She used some ribbon to make a bow for a gift now she has 1 3 /8 feet of orange ribbon left.
Now, to find the orange ribbon Zoe use.
Let the orange ribbon Zoe use be 
Total orange ribbon Zoe had = 
Ribbon Zoe had left = 
Now, to get the orange ribbon Zoe use:

<em>Subtracting both sides by </em>
<em> we get:</em>

<em>Adding both sides by </em>
<em> we get:</em>






Therefore, orange ribbon Zoe use is 