The missing angles are the one with labels 1, 2, 3, 4.
180 = 43 + 69 + X
180 = 112 + X
X = 68 (1)
180 = 112 + 41 + Y
180 = 153 + Y
Y = 27 (2)
180 = 44 + 66 + Z
180 = 110 + Z
Z = 70 (3)
180 = 109 + 29 + Z
180 = 138 + Z
Z = 42 (4)
Answer:
1. x=27
2. x=3
Step-by-step explanation:
<h3>the first one </h3>
let's solve your equation step-by-step.
x−7=20
Step 1: Add 7 to both sides.
x−7+7=20+7
<h3>the second one </h3>
Let's solve your equation step-by-step.
3x+6=12x−21
Step 1: Subtract 12x from both sides.
3x+6−12x=12x−21−12x
−9x+6=−21
Step 2: Subtract 6 from both sides.
−9x+6−6=−21−6
−9x=−27
Step 3: Divide both sides by -9.
−9x/−9=−27/−9
<h3 />
Answer: 1. 75582 2. 3047466240
Step-by-step explanation: 1. If order does not matter, this is a combination problem. You are choosing 8 sticks from a set of 19. (Octagons have 8 sides.) The formula for combinations of n things chosen r at a time "n choose r" is
2. If order matters, there are more possibilities. This is a permutation problem. The number of permutations of 19 things taken 8 at a time, "19 permute 8" is Y
Formula to find mean and standard deviation is,
Means = np and standard deviation =
.
Where n= sample size, p = probability.
According to the given problem, the probability that an individual has 20 vision is 0.19 in a class of 70 students. So,
p = 0.19 and n = 70.
Hence, the first step is to plug in these values in the above formula to get mean and standard deviation. Therefore,
Mean = np
= 70* 0.19
= 13.3
= 13.300 (Rounded to nearest thousandth.
Standard deviation = 
=
=
=√10.773
=3.282224855
= 3.282 (Rounded to nearest thousandth).
