A rectangular garden has a perimeter of 48cm and an area of 140 sq. cm. what is the width of this garden
1 answer:
You might be interested in
Answer:
0.857 weeks
Step-by-step explanation:
Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...
M = 35 + 15x
A = 5 + 50x
Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money
35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides
30 = 35x ... divide both sides by 35
or 0.857 = x
Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.
*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***
Answer:
The value of t test statistics is -2.25.
Step-by-step explanation:
We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.
A 25 bag sample had a mean of 393 grams with a standard deviation of 20.
<u><em>Let </em></u><u><em> = mean filling of bags by the machine.</em></u>
So, Null Hypothesis, :
402 gram {means that the the machine is not under filling the bags}
Alternate Hypothesis, :
< 402 gram {means that the the machine is under filling the bags}
The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;
T.S. = ~
where, = sample mean bag filling = 393 grams
s = sample standard deviation = 20 grams
n = sample of bags = 25
So, <u><em>test statistics</em></u> = ~
= -2.25
The value of t test statistics is -2.25.