I think it’s gonna be the same thing because it’s the same angle just flipped. They’re the same thing is basically what I’m saying. So it should be 136 degrees.
Answer:
The two diameters that separate the top 5% and the bottom 5% are 5.51 and 5.65 respectively.
Step-by-step explanation:
We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.58 millimeters and a standard deviation of 0.04 millimeters.
<em>Let X = diameters of bolts produced in a machine shop</em>
So, X ~ N()
The z score probability distribution is given by;
Z = ~ N(0,1)
where, = mean diameter = 5.58 millimeter
= standard deviation = 0.04 millimeter
<u>Now, we have to find the two diameters that separate the top 5% and the bottom 5%.</u>
- <u>Firstly, Probability that the diameter separate the top 5% is given by;</u>
P(X > x) = 0.05
P( > ) = 0.05
P(Z > ) = 0.05
<em>So, the critical value of x in z table which separate the top 5% is given as 1.6449, which means;</em>
= 1.6449
= 5.58 + 0.065796 = 5.65
<u />
- <u>Secondly, Probability that the diameter separate the bottom 5% is given by;</u>
P(X < x) = 0.05
P( < ) = 0.05
P(Z < ) = 0.05
<em>So, the critical value of x in z table which separate the bottom 5% is given as -1.6449, which means;</em>
= -1.6449
= 5.58 - 0.065796 = 5.51
Therefore, the two diameters that separate the top 5% and the bottom 5% are 5.51 and 5.65 respectively.
Answer:
131.04
Step-by-step explanation:
0.7×180=126
1.04×126=131.04
Answer:
X = -1, y = 1
( -1 , 1 )
Step-by-step explanation:
You can set them equal to each other since they both equal y
3x + 4 = x + 2
subtract x from both sides to get all the x’s on one sides
2x + 4 = 2
subtract 4 from both sides
2x = -2
divide by 2
x = -1
plug -1 into either equation to get y
-1 + 2 = 1
There's more than one way to combine them really
but an obvious one will be