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Alekssandra [29.7K]
2 years ago
5

In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more

than 86 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life ( 150,000 miles of driving) of the vehicle. NOX + NMOG emissions over the useful life for one car model vary Normally with mean 80 mg/mi and standard deviation 4 mg/mi. (a) What is the probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG? (Enter your answer rounded to four decimal places.)
Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
7 0

Answer:

probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG = 0.8668

Step-by-step explanation:

mean, μ = 80 mg/mi

Standard deviation, \sigma = 4 mg/mi

probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG

P(X > x ) = P(z > \frac{x - \mu}{\sigma})

P(X > x ) =1 -  P(z < \frac{x - \mu}{\sigma})

P(X > 86 ) =1 -  P(z < \frac{86 - 80}{4})

P(X > 86) = 1 - P(z < 1.5)

From the standard normal table, P(z < 1.5) = 0.9332

P(X > 86) = 1 - 0.9332

P(X > 86) = 0.0668

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kati45 [8]

Answer:

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Step-by-step explanation:

<u>Step 1: Define</u>

-12(x + 4) + 14x = 60

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute -12:                              -12x - 48 + 14x = 60
  2. Combine like terms:                   2x - 48 = 60
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7 0
3 years ago
Read 2 more answers
a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma
NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

also

y is equal to twice the sum of the smaller number and 1.

so

y = 2x + 1

so the system of equations become

y = 2x + 3

y = 2x + 1

solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

-2=0

-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

\mathrm{No\:Solution}

Therefore, there is NO solution.

7 0
3 years ago
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Aleks [24]

Answer:

n= 75

y= 75

z= 50

p= 105

other n across from p= 105

Step-by-step explanation:

n and y are the same since the triangle is isoseles.

p is supplemetary to n

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7 0
3 years ago
Help plz!!!!!!!!!!!!!!
olga nikolaevna [1]
2 5/16 divided 7/8

Simplify
(37/16) / (7/8)

When dividing by a fraction flip over the fraction and multiply
(37/16) * (8/7)

Multiply numerators, multiply denominators
296 / 112

Reduce the fraction
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3 0
3 years ago
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Katherine has $140 in the bank and is saving $6 per week. Abbie has $462 in the bank, but is spending at a rate of $10 per week.
AveGali [126]
Let x be the number of weeks for this financial situation. The amount that Katherine will have at the end of x weeks is 140 + 6x. On the other hand, with the spending that she is doing, Abbie will have 462 - 10x after x weeks. Equating the two,
                                     140 + 6x = 462 - 10x
Thus, the answer is letter B. 
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3 years ago
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