Answer:
See below.
Step-by-step explanation:
a.
The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.
b.
Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.
c.
The formula for adding n positive integers starting at 1 is:
1 + 2 + 3 + ... + n = n(n + 1)/2
For figure 55, n = 55.
n(n + 1)/2 = 55(56)/2 = 1540
d.
Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.
n(n + 1)/2 = 190
n(n + 1) = 380
We know that 380 = 19 * 20, so n = 19.
Answer: yes
e.
Use the formula above,
S = n(n + 1)/2, where S is the sum.
f.
n(n + 1) = 1478
38 * 39 = 1482
37 * 38 = 1406
Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
The sample is his friends. They might be the same group of interests. The sample needs to be random. Even if he went around and grabbed random people he may not have known at his school, it still wouldn't be random bc they could all be bias towards a local sports team or have different interests than someone from somewhere else
Step-by-step explanation:
=-12.166/-1.54 [if - is in both numerator and denominator then they are cancled out]
=12.166/1.54
=7.9
Tiger has 27 times more mass than the cat
How I did it?
First, you convert 5000 g to kg which is 5 kg
Then you divide 135 into 5 which is 27
Hope that helps
