There are 120 choices.
5 × 4 × 3 × 2×1 = 120 choices
100*2.2=220
80*2=176
220+176=396
So the two trains will take 2.2 hours so that they are 396 miles apart.
Y = -3x + 6
y - 6 = -3x
-1/3 y + 2 = x
z = x -3
z = -1/3 y + 2 -3 = -1/3 y - 1
set z = 0
-1/3 y = 1
y = -3
set y = 0
z = - 1
Answer:
The sample statistics follows a standard normal distribution since the sample size are large enough.
Step-by-step explanation:
Given that:
<u>First population:</u>
Sample size
= 49
Population standard deviation
= 3
Sample mean
= 10
<u>Second population:</u>
Sample size
= 64
Population standard deviation
= 4
Sample mean
= 12
The sample statistics follows a standard normal distribution since the sample size are large enough.
The null and alternative hypotheses can be computed as:


Level of significance = 0.01
Using the Z-test statistics;






Z = - 3.037
Z
- 3.04
The P-value = 2P (z < -3.04)
From the z tables
= 2 × (0.00118)
= 0.00236
Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses 
6/13=x/72
X=33
They are similar triangles so the ratios are equal