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3 years ago

Needed help with a question in Algebra of radians.....

Mathematics

1 answer:

NikAS [45]3 years ago

7 0

Answer:

The answer to your question is π radians

Step-by-step explanation:

Data

degrees = 180°

radians = ?

Process

To find the answer just need to memorize the proportion.

Always 2π ⇒ 360° or π ⇒ 180°.

Then

2π radians ----------------- 360°

x ----------------- 180°

x = (180° x 2π) / 360°

-Simplifying

x = 360°π / 360°

-Result

x = π radians

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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

Greeley [361]

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.

5 0

3 years ago

Find the number of positive three-digit even integers whose digits are among 9, 8, 7, 5, 3, and 1.

sp2606 [1]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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3 years ago

The square root of the quantity 4 x minus 3 end quantity equals 5.

zavuch27 [327]

Answer:

The statement is false.

Step-by-step explanation:

Given,

$\sqrt{4 \times - 3} = 5$

To Prove

Soln:

$\sqrt{4 \times - 3}$

= $2i \sqrt{3}$

=> $2i \sqrt{3} ≠5$

Hence, 2i√3 is not equal (≠) to 5.

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2 years ago