Answer:
3*3*3
3^3
Step-by-step explanation:
27 = 9*3
= 3*3*3
= 3^3
Answer:
Area = 
Step-by-step explanation:
The area of a rectangle is given by:
Area = Height * Width
The expressions for height and width are given. We just need to multiply and add like terms (if applicable) to find the expression for the area of the rectangle.
Remember to use distributive property:

Thus, we have:

THis is the expression for area.
Answer:
Step-by-step explanation:
Allow me to rewrite your question and hope it will fit the original one:
<em>Jackson recorded the growth of a plant over 10 weeks. The equation </em><em>y=0.25x+4</em><em> represents the height y in inches over time x in weeks what does the y intercept represent In terms of the situation</em>
My answer:
As we know that y intercept is the value of y at the point where the line crosses the y axis (the value of x =0)
So in this situation, if x= 0, it means the height of the tree (y-intercept) initially be at 4 at week 0.
Hope it will find you well.
Answer:
$596
Step-by-step explanation:
So, firstly, let's take all the essential info and put it in bullet points:
- $200 moving fee
- $4 for every pot delivered safley
- $5 each per pot that is lost/broken
Next, what do we know about what's happened to the pots?
- 6 pots are lost
- 12 pots are broken
- 578 pots are supposed to be delivered
Now, we know that there is a moving fee that we will definitely have to pay, no matter what. Let's add that to the side-
200
Now we need to cover broken/lost pots. We can add up 6+12, because it is the exact cost for lost and broken pots. 6+12=18, and now we have to multiply that by 5. 18*5=90.
So, we can subtract that from the total payment.
200-18=182
Lastly, we need to add the total price for all the adequately delivered pots that arrived safely. There are 578 pots, and because 18 were damaged, we need to add that to 578:
578+18=596
So, the total amount you would be paying is $596.
Answer:
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
Step-by-step explanation:
Given the data in the question;
Null hypothesis H₀ : p = 0.262
Alternative Hypothesis H₁ : p > 0.262.
p" = 0.357
q = 1 - p = 1 - 0.262 = 0.738
n = 98
so;
z = (p" - p) / √(pq/n)
we substitute
z = (0.357 - 0.262) / √((0.262×0.738) / 98)
z = 0.095 / 0.04441869
z = 2.1387
at 5% CONFIDENCE INTERVAL
z-critical = 1.645
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.