Y-y1 / x-x1 to get slope
5 - 1 / 9 - 4
m (slope) = 4/5
plug in one point to get b
1 = 4/5(4) + b
1 = 16/5 + b
b = -15/5
y = 4/5x - 15/5
Answer:
B. 15.4 ft
Step-by-step explanation:
this answer, without any formulas used, can be answered correctly and logically.
answer c, d and e are eliminated as the opposite side cant be greater than the hypotenuse.
now we have to find which is correct between a and b
the answer will be 'B' as the value of sine of an angle keeps increasing as the angle itself increases. thus, giving a bigger value of the opposite side (required height). as 15.4 ft.
mathematically,
sin65° = x/17
17 × sin65° = x
where x is height of the side of the building.
Answer:

Step-by-step explanation:
If the two events are disjoint, then P(A or B)=P(A)+P(B).
We were given that:

and

This implies that:

We simplify the right hand side to obtain:


Answer:
The probability that the woman selected does not have red/green color blindness is 0.9945.
Step-by-step explanation:
Let <em>X</em> = a woman has red/green color blindness.
It is provided that, in a certain group of women the rate of red/green color blindness is <em>P</em> (<em>X</em>) = 0.0055.
A complement of an event <em>E</em>, is defined as the event of not <em>E</em>.
The probability of complement of an event <em>E</em> is:

Compute the probability that the woman selected does not have red/green color blindness as follows:

Thus, the probability of the complement of the event of a woman having red/green color blindness is 0.9945.
Step-by-step explanation:
If the second piece is x inches long, then the first piece is 5x inches long. The total length is 192 inches, so:
x + 5x = 192
6x = 192
x = 32
The lengths of the two pieces are 32 inches and 160 inches.