Answer (Note: the bold are answers):
First question answer:
Point = (3,1)
Slope = 3
y = 3x + b
(1) = 3(3) + b
1 = 9 + b
1 - 9 = b
-8 = b
y = 3x - 8
The second question answer:
y = mx + b
Get two points:
(3,-7) and (4,-11)
m = -11 - (-7) / 4 - 3
m = -11 + 7 / 1
m = -4 / 1
m = -4
b = + 3
y = -4x + 3
Answer:
x = 109°
Step-by-step explanation:
x° is 37° + 72°, due to exterior angle property.
so x° = 109°
When there are variables with exponents on the bottom you have to subtract the ones on the bottom from the ones on the top. Then if the exponent is negative you have to flip it.
Answer:
The number of times coin thrown was <u>500</u>.
Step-by-step explanation:
Given:
A coin lands on heads 200 times. the relative frequency of heads is 0.4.
Now, to find the times coin was thrown.
Let the number of times coin thrown was be 
Relative frequency = 0.4.
Number of lands on heads = 200.
So, to get the number of times coin was thrown we put formula:


<em>By cross multiplying we get:</em>

<em>Dividing both sides by 0.4 we get:</em>

Therefore, the number of times coin thrown was 500.
13/52. There are 13 red hearts in a deck of 52 cards.