Answer:
y + 30 = 4/5(x - 10)
Step-by-step explanation:
Given the slope, 4/5, and point (10, -30):
We can plug these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (10, -30)
and m = 4/5
y - (-30) = 4/5(x - 10)
y + 30 = 4/5(x - 10)
Therefore, the point-slope form is y + 30 = 4/5(x - 10)
(2x² - 8x - 10) ÷ 2 = 0
x² - 4x - 5 = 0
x² + x - 5x - 5 = 0
x(x+1) - 5(x+1) = 0
(x+1)(x-5) = 0
x+1 = 0 or x-5 = 0
x = -1 or x= 5
S = {-1;5}
Answer:




Step-by-step explanation:
Given
See attachment for proper format of table
--- Sample
A = Supplier 1
B = Conforms to specification
Solving (a): P(A)
Here, we only consider data in sample 1 row.
In this row:
and 
So, we have:



P(A) is then calculated as:


Solving (b): P(B)
Here, we only consider data in the Yes column.
In this column:
and 
So, we have:



P(B) is then calculated as:


Solving (c): P(A n B)
Here, we only consider the similar cell in the yes column and sample 1 row.
This cell is: [Supplier 1][Yes]
And it is represented with; n(A n B)
So, we have:

The probability is then calculated as:


Solving (d): P(A u B)
This is calculated as:

This gives:

Take LCM


129 divided by 5 is equal to 25 with a remainder of 4.
This means that she will need a total of 26 boxes, but only 25 of them will have 5 cupcakes in them. The last one will have 4 cupcakes.
Answer:
11/2, 22/4, 33/6, 44/8, 55/10, 66/12, 77/14, 88/16, 99/18, 110/20, 121/22, 132/24, 143/26, 154/28, 165/30, 176/32, 187/34, 198/36, 209/38, 220/40, and so on ...