9% of $2500 = 225
7 × 225 + 2500 = $4075
Answer:
the Velocity of the plane is 100 mi/hr along the northeast direction
Step-by-step explanation:
According to the Question,
- Given That, the Initial velocity of the plane is 150 mi/hr along the east north direction and the wind is blowing at 50 mi/hr along the southwest direction
since the velocity of wind and plane is exactly opposite
- the relative velocity of the plane with respect to the wind is given by
, where
is the velocity of plane = 150mi/hr and
= velocity of wind = 50 mi/hr
- Therefore, Relative Velocity = 150-50 ⇒ 100mi/hr along northeast direction
Thus, the velocity of the plane is 100 mi/hr along the northeast direction
Answer:
34 years
Step-by-step explanation:
f = s + 28 Eq. 1
f+8 = 3(s+8) Eq. 2
f = father age
s = son age
replacing Eq. 1 on Eq. 2
(s+28) + 8 = 3(s+8)
s + 36 = 3*s + 3*8
s + 36 = 3s + 24
36 - 24 = 3s - s
12 = 2s
12/2 = s
s = 6
from the Eq. 1
f = 6 + 28
f = 34
Check
from the Eq. 2
34+8 = 3(6+8)
42 = 3*14
Answer:
Correct option: B. Less between group variability
Step-by-step explanation:
The Analysis of Variance (ANOVA) test is performed to determine whether there is a significant difference between the different group mean.
The hypothesis is defined as:
<em>H₀</em>: There is no difference between the group means, i.e. <em>μ</em>₁ = <em>μ</em>₂ = ... = <em>μ</em>ₙ
<em>Hₐ</em>: At least one of the mean is different from the others, i.e. <em>μ</em>
≠ 0.
The test statistic is defined as:

If the null hypothesis is true then the test statistic will be small and if it is false then the test statistic will be large.
In this case it is provided that the null hypothesis is true.
This implies that:

Implying that the sum of squares for between group variability is less than within group variability.
Thus, if the null hypothesis is true there will be less between group variability.
Answer:
Step-by-step explanation:
4.75%