Answer:
11.25
Step-by-step explanation:
The equation for a parabola is:
y − k = 1/(4p) (x − h)²
where (h, k) is the vertex and p is the distance from the focus to the vertex.
1/(4p) = 1/45
4p = 45
p = 11.25
The distance from the vertex to the focus is 11.25 inches.
Answer:
The correct answer is 1,51%
Step-by-step explanation:
To get the probability equally likely of the first 6 examined that have a defective compressor, we use the following formula
P=# of possibilities that meet the condition / #of equally likely possibilities.
As there are multiple events , and all must be achieve, we multiply the probabilities.
P1=7 / 11
P2=6 / 10
P3=5 / 9
P4=4 / 8
P5=3 / 7
P6=2 / 6
P(x)=7 / 11*6 / 10*5 / 9*4 / 8*3 / 7*2 / 6=0,01515151515
P(x)=1,51%
By scientific notation I am assuming you mean standard form, as that is used primarily in scientific calculations. The answer in standard form would be

I hope this helps!
Answer:
12.5
Step-by-step explanation:
A 10x10 grid would have 100 units. If you divide it into 8 equal units you would do:
100 / 8
Which gets you, 12.5
2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12
1 + 5/12 = 12/12 + 5/12 = 17/12 = 1 5/12
2/3 + 3/4 = 1 + 5/12