1 triangle. Every triangle is 180 degrees, and 50 plus 40 plus 90 is 180
First you would want to add all like terms. So add -2x and -x which will give you the equation -3x+8=?. Now you want to get 8 on the other side to simplify the equation even more so subtract 8 on both sides. -3x=-8. Finally you want to isolate x by dividing by -3 on both sides which will leave you with x=8/3 or x=2 2/3
-1.5
Step-by-step explanation:
So, you do 7.25 - 1 (because it is) and you get 6.25. Make it a fraction inton 25/4 and divide bu 75/8 (9 3/8 simplified) and you get -1.5 voila.
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: x3+x2−2x−2
Step-by-step explanation: Use the given functions to set up and simplify f ( x ) ⋅ ( g ( x ) ) .
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