If philani buys a scooter for 15,000 and wants to pay 15% down then he must pay 2,250. After this they will still need to pay 12,750 to pay of the scooter, but after the 10% annually (for two years) then they will owe 15,750 for the scooter rather than 12,750. Hope this helps!
Answer:
Step-by-step explanation:
Information given
represent the sample mean for the content of active ingredient
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be:
(1)
Now we can calculate the statistic:
P value
The degrees of freedom are calculated like this:
Since is a one left tailed test the p value would be:
You would have to first distribute the -2 to the x+3 which gives you -2x-6. Then you would subtract the 4 which gives you -2x-10 on the left side. Now you have the equation -2x-10>4x+30. Move the 4x to the other side giving you -6x-10>30. Now add the 10 from the other side which leaves you with -6x>40. Now remember when you divide by a negative in an inequality, you HAVE TO flip the sign giving you the answer of x<-20/3.
Answer:
Yes, she is correct
Step-by-step explanation:
A trapezoid has exactly one pair of parallel lines and 4 sides
Answer:
<u>The number of pens = 120 and the number of pencils = 200</u>
Step-by-step explanation:
Let the number of pens x, and the number of pencils is y
the cost of one pen $1, and the cost of one pencil $0.5
The cost of the whole purchase was $220
1 * x + 0.5 * y = 220
x + 0.5 y = 220 ⇒ eq.(1)
there were 80 more pencils than pens
y - x = 80 ⇒ eq.(2)
from eq.(2) x = y - 80
By substitution with x from the last equation at eq.(1)
∴ (y - 80) + 0.5 y = 220
1.5y = 220 + 80 = 300
y = 300/1.5 = 200
x = y - 80 = 200 - 80 = 120
<u>So, the number of pens = 120 and the number of pencils = 200</u>