Answer:
critical value = 1.645
The 90% confidence interval = ( -22.62, -17.58)
Step-by-step explanation:
Given that:
the sample size 
= 178
the sample size 
= 226
the sample mean 
= 54.4
the sample mean 
= 74.5
population standard deviation 
= 18.58
population standard deviation 
= 9.52
level of significance ∝ = 1 - 0.90 = 0.10
The critical value for 
is 1.645
For the construction of our confidence interval, we use 90% since that is used to find the critical value.
∴
The margin of error = 
2.52
The lower limit = 
= ( 54.4-74.5) - (2.52)
= -20.1 - 2.52
= -22.62
The upper limit = 
= ( 54.4-74.5) + (2.52)
= -20.1 + 2.52
= -17.58
The 90% confidence interval = ( -22.62, -17.58)
1 feet = 12 inches
length of car in inches = 108 inches
length of model = 6 inches
length of car/ length of model = 108/6 = 18:1
Answer:
i am sevn i ned hlp wht 1 plas 3 plz hlp
Step-by-step explanation:
I ned hlp
Answer:
FGH ~ KLJ
Step-by-step explanation:
You have to write the similarities in order. Meaning, each letter of the triangle must correspond with each letter of the other triangle, in order. So if ABC is similar to LMN, then A must be similar to L, B must be similar to M, and C must be similar to N.
So,F = 91 and K = 91. They are the first part of the similarity. Then, G and L both equal 65, so they are the second part. Finally, H and J both equal 24, so they must be the third part.
Therefore, FGH ~ KLJ.
(If you are wondering about the second part: " ≅ " means congruent to and " ~ " means similarity so the ~ symbol is the right one.)
I hope this helps! Good Luck!
Answer:
(-∞, 29/7) ∪ (29/7, ∞)
Step-by-step explanation:
The only value of k that will make the system have something other than one solution is the value that puts it in the same proportion as the coefficients in the first equation.
3/21 ≠ k/29
k ≠ 29/7 . . . . . . multiply by 29 and simplify
So, "all values of k" will be ...
(-∞, 29/7) ∪ (29/7, ∞)
