Most attractive . . . width / length = 3:5 = 0.6
If width = 48 inches, then 48/length = 0.6
Multiply each side by 'length': 48 = 0.6 length
Divide each side by 0.6 : length = 48/0.6 = <u>80 inches</u>
Answer:
1.
The null hypothesis
H0: Ud=0
The alternate hypothesis
H1:Ud≠0
2. Test statistic = -3.04
3. P value = 0.039
4. Reject h0
Step-by-step explanation:
X = right arm
Y = left arm
d = difference between both arms
X. Y. d(x-y). d²
145. 173. -28. 784
142. 163. -21. 441
116. 182. -66. 4356
133. 148. -15. 225
134. 149. -15. 225
Total
d = -145
d² = 6031
We have sample space n = 5
d' = -145/5
= -29
Sd = √1/n-1(Σd²-(Σd)²/n
Sd = √1/4(6031-(-145)²/5
= √1/4(6931-4205)
= √456.5
= 21.366
To get t
=d'/(sd/√n)
= -29/(21.366/√5)
= -3.035
In summary
This is a two tailed test
1.
The null hypothesis
H0: Ud=0
The alternate hypothesis
H1:Ud≠0
2. Test statistic = -3.04
3. P value = 0.039
4. We have pvalue to be 0.039 which is less than the level of significance 0.05
0.039<0.05, so we take decision to reject h0 which is the null hypothesis
We have enough evidence to support claim that there is a measurement difference between left and right arms
Product is multiplication.
A number and 4 : 4x
Increase by 1 : +1
Put it together:
4x + 1 = -3
Twelve less than: -12
A number: x
Three more than: +3
Four times a number: 4x
Put it together:
x - 12 = 4x + 3
Answer:
see explanation
Step-by-step explanation:
To obtain a term in the sequence add the previous 2 terms, that is
= + ← in general terms
(a)
Given 1 4 5 9 14
Then the next 2 terms are 9 + 14 = 23 and 23 + 14 = 37
(b)
Given a₄ = 30 and a₅ = 49 , then
a₃ = 49 - 30 = 19
a₂ = 30 - 19 = 11
a₁ = 19 - 11 = 8
Sequence is 8 11 19 30 49 ....
(c)
Given a₂ = x and a₃ = y , then
a₁ = y - x
a₄ = a₃ + a₂ = y + x
a₅ = a₄ + a₃ = y + x + y = 2y + x