Given that mean=56.1 and standard deviation=8.2, P(x>67.5) will be found as follows:
The z-score is given by:
z=(x-μ)/σ
thus the z-score will be given by:
z=(67.5-56.1)/8.2
z=11.4/8.2
z=1.39
thus
P(z=1.39)=0.9177
thus:
P(x>67.5)=1-P(z>0.9177)
=1-0.9177
=0.0823
Answer: A. 0.0823
Answer:
Step-by-step explanation:
3(0.3x + 1.3) = 2(0.4x - 0.85)
0.9x + 3.9 = 0.8x - 1.70
0.9x - 0.8x = - 1.70 - 3.9
0.1x = - 5.6
x = - 5.6 / 0.1
x = - 56
Answer:
The length of the hypotenuse is 2.4m
Step-by-step explanation:
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 55°
o: opposite = 2.0m
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, hypotenuse, opposite)
we look at which meets those data between the sine, cosine and tangent
is the sine
sin α = o/ah
Now we replace the values and solve
sin 55 = 2.0/h
0.81915 = 2.0/h
h = 2.0 / 0.81915
h = 2.4415 m
round to the nearest tenth
h = 2.4415 = 2.4 m
The length of the hypotenuse is 2.4m
Step-by-step explanation:
66 1/2= 5ft. and 6 1/2in.
Answer: well I'm sorry I can't help that much but 300÷70(per hour)=4.28571428571 (Yes I did the math in my head) but it would be an estimate of 4 or 5 minutes. If I helped that's the least I can do. Your welcome! Anytime!!
Step-by-step explanation: