Answer:
The ladder will reach 5.6 meters high.
Step-by-step explanation:
The tree, the ground and Kali's ladder form a triangle whose hypotenuse 
is the ladder, base 
the ground, and perpendicular 
the tree. Thus from Pythagorean theorem:
Since 
and 
Thus the ladder will reach 5.6 meters high.
Answer:
<em>The expression for final cost of the DVD is 
</em>
Step-by-step explanation:
Jessica purchased a DVD that was on sale for 12% off.
If the original price of the DVD is 
, then the amount of discount on sale will be: 
So, the selling price of the DVD 
The sales tax in her county is 3%. So, the amount of sales tax on the selling price will be: 
Thus, the expression for final cost of the DVD is: 
Answer:
Reject H0 if x > cv
Step-by-step explanation:
The hypothesis :
H0 : μ ≤ 425
H1 : μ > 425
Standard deviation, s = √2500 = 50
Sample size, n = 100
xbar = 433.5
The test statistic, Z :
(xbar - μ) / s/√n
(433.5 - 425) / 50/10
Z = 8.5 / 5 = 1.7
The decision region ;
|Z| > Z0.01 ; Reject H0
From Z table ;critical value, Z0.01 = 2.33
1.7 < 2.33 ; We fail to reject then Null and conclude that thee is no significant evidence support the claim that population mean income has increased.
Step-by-step explanation:
The cost increase is:
(4 - 3) / 3 × 100%
33%
The answer is none of these.
I set it up as a ratio with hours on the top and the fraction of the job on the bottom. It looks like this: 5/(2/3) / x/1, because 1 is the whole job if 2/3 is only a fraction of it. Cross multiplying gives you 2/3x = 5. Solving for x gives you that it will take 7.5 hours to complete a whole job if it takes 5 hours to complete 2/3 of it.
