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Andru [333]
3 years ago
5

I am trying to figure out what x is for this quadratic equation, could you help? The exact question on the assignment is

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0
There seems to be something missing. Either a missing diagram or more context to the problem, or perhaps more instructions. I'm not exactly sure.

Anyways, if you simply need to solve the equation for x, then...
3x+7 = 5x-9
3x+7-3x = 5x-9-3x ... subtract 3x from both sides
7 = 2x-9
7+9 = 2x-9+9 ... add 9 to both sides
16 = 2x
2x = 16
2x/2 = 16/2 ... divide both sides by 2
x = 8

I'm assuming after this point, you'll use x somehow to determine the length of segment AD. Unfortunately there isn't enough info provided to do that, but I'll let you take over from here.
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The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particular model varies No
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Answer:

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.              

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0.02 g/mi

Standard Deviation, σ = 0.01 g/mi

Sample size, n = 81

We are given that the distribution of  level of nitrogen oxides is a bell shaped distribution that is a normal distribution.

Standard error due to sampling:

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.01}{\sqrt{81}} = 0.0011

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.01

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 0.02}{0.0011})=0.01  

= 1 -P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.01  

=P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.99  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 0.02}{0.0011} = -2.326\\\\x = 0.0174

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.

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