The first option would be the correct answer because you have the outer angle at 121 degrees and a straight angle adds up to 180 degrees so 121 - 180 = 59. Now you have the original angle on the inside which is 47 degrees and you add 47 + 59 and you get 106. Since this shape is a triangle you would do 180 - 106 to get your last angle which would be 74. Hope this helps!
That would be= -4, -100,and 53 sorry if it’s wrong I don’t think so tho
Multiply the first bracket by -4
Multiply the second bracket by 3
-4(2x - 5) = 3(x - 15)
-4(2x)-4(-5)= 3(x)+3(-15)
-8x+20= 3x-45
Move 3x to the other side. Sign changes from +3x to -3x.
-8x-3x+20= 3x-3x-45
-11x+20= -45
Move +20 to the other side. Sign changes from +20 to -20.
-11x+20-20= -45-20
-11x= -65
Divide by -11
-11/-11x= -65/-11
x= 65/11 or x= 5 10/11
Answer: x= 65/11 or x= 5 10/11
Answer:
0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8 minutes
Standard Deviation, σ = 2.5 minutes
Sample size, n = 25
We are given that the distribution of time spent is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(sample mean is between 7.8 and 8.2 minutes)
0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.
The answer to this question is 20/3
