Answer:
If there is 1 at the top, then you have 1, then 2, then 3, etc.
total number of oranges equals:
1 + 2 + 3 + ... + 16 + 17 + 18 <-- stop at 18 because this is the number of oranges at the base
You can use the formula:
sum of first n numbers = n*(n + 1)/2
-->
18*19/2 = 9*19 = 171
or you can figure it out (basically derive the above formula):
you have:
1 + 18 = 19
2 + 17 = 19
3 + 16 = 19
...
How many pairs do you have? Well, it's just the number of numbers: 1-18 = 18 numbers (divide by 2) = 9 pairs)
9 pairs of 19 = 9 * 19 = 171
Hope this helps!
Step-by-step explanation:
Answer: Josh sold 11 book shows and Jessica sold 198 books.
Look at the attachment for the work.
Complete question:
Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?
Answer:
Here,
Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)
We are also told only 10 participants are available.
All 10 participants are being exposed to all five levels of the color variable in the same order.
Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.
Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.
But using counterbalancing technique, Dr. Lyte can avoid such an error.
Answer:
see below
Step-by-step explanation:
defining variables:
since you are trying to find t shirt cost and jeans cost, your variables would be
the cost of the t shirt and the cost of jeans, denoted by any variable you want.
I'll use x and y since they are the most common variables (x = shirt y = jeans)
Equation
4 shirts + 5 jeans = 160 dollars
4x + 5y = 160 (the cost of 4 shirts + the cost of 5 jeans is $160)
the cost of 2 shirts + 6 jeans = $150
2x + 6y = 150
Answer:
Step-by-step explanation:
The multiplicative inverse of a complex number y is the complex number z such that (y)(z) = 1
So for this problem we need to find a number z such that
(3 - 2i) ( z ) = 1
If we take z =
We have that
would be the multiplicative inverse of 3 - 2i
But remember that 2i = √-2 so we can rationalize the denominator of this complex number
Thus, the multiplicative inverse would be
The problem asks us to verify this by multiplying both numbers to see that the answer is 1:
Let's multiplicate this number by 3 - 2i to confirm:
Thus, the number we found is indeed the multiplicative inverse of 3 - 2i