Answer:
8 days
Step-by-step explanation:
The total cost includes $55 flat rental fee which is one time cost only as not given everyday so we subtract it from $123 and divide $(123-55) with per day cost that is $8.50 which gives 8 as answer so Val spent 8 days on vacation.
Answer:
Please see the graph below
Step-by-step explanation:
The table is just selecting numbers for x and then solving for what y would be. Once we have the ordered pairs (x,y) We can graph the points and see the line.
Let there be x quarts of the 20% salt solution, and (25 - x) quarts of the 80% salt solution.
Then the total amount of salt in the 20% portion would be 0.2x, while that from the 80% portion would be (0.8)(25 - x). This would have to total up to (0.44)(25) in the final solution, so the equation is:
0.2x + 0.8(25 - x) = (0.44)(25)
-0.6x + 20 = 11
x = 15 quarts of the 20% salt solution
25 - x = 10 quarts of the 80% salt solution
12 subtracted by 33 divided by 4 equals 3.75
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 