Answer:
yes ; 17.5 ft
Step-by-step explanation:
Triangle PRQ is isosceles
the base angle are equals
we know two legs, so we can find the tangent of angle x
tan = opposite/adjacent
tan = 7/16 = 0.4375
the angle x measure 23.6 degrees circa (we can calculate this with the button tan -1 on the calculator)
the roof is safe
B we can use the Phytagorean theorem to solve this
PR = √16^2 + 7^2 = √256 + 49 = 17,46... = 17.5 ft
Step-by-step explanation:
3x² + 22x + 35 = 0
(3x + 7)(x + 5) = 0
3x + 7 = 0
x = -7/3
or x+5 = 0
x = -5
Answer:
The answer is 47200000000
Answer:
0.8224
Step-by-step explanation:
Data
- standard deviation, sd: $10
- first value of interest, x1: $63
- second value of interest, x2: $90
z-score for x1:
z1 = (x1 - mean)/sd = (63 - 76)/10 = -1.3
z-score for x2:
z2 = (x2 - mean)/sd = (90 - 76)/10 = 1.4
The proportion of wrist watch prices are between $63 and $90 is:
P(z1 < z < z2) = P(z < 1.4) - P(z < -1.3)
P(z < 1.4) = 0.9192 (see first picture attached)
P(z < -1.3) = 0.0968 (see second picture attached)
P(z1 < z < z2) = 0.9192 - 0.0968 = 0.8224