Step-by-step explanation:
12x-15-4x+1=-6
12x-4x= -6+15-1
8x= 8
x=1
my answer is 100 % correct
If 20 minutes was 25% of your entire workout, your total workout time would be 80 minutes. 25% is one quarter therefore multiply 20 times 4 which equals 80.
Answer:
0.1056
Step-by-step explanation:
Mean(μ) = 12 ounce
Standard deviation (σ) = 0.2 ounce
P(x<11.75) = ???
Let x be the random variable for the amount of soda a machine will dispense.
Using normal distribution
Z = (x - μ) / σ
Z = (11.75 - 12) / 0.2
Z = (-0.25)/0.2
Z = -1.25
From the normal distribution table
1.28 is 0.3944
Φ(z) is the tabular value of z
Φ(z) = 0.3944
Recall that when Z is negative
P(x<a) = 0.5 - Φ(z)
P(x < 11.75) = 0.5 - 0.3944
= 0.1056
Answer: Choice B) 35.3 degrees
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Work Shown:
Apply the law of sines
sin(S)/s = sin(R)/r
sin(S)/16 = sin(120)/24
sin(S) = 16*sin(120)/24
sin(S) = 0.57735026918962
S = arcsin(0.57735026918962)
S = 35.2643896827542
S = 35.3
Make sure your calculator is in degree mode.
Answer:
3
Step-by-step explanation:
6=24-6a
6a=24-6
6a^6=18^6
a=3
