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3 years ago

Help me please..........

Mathematics

1 answer:

natali 33 [55]3 years ago

4 0

9514 1404 393

Answer:

Step-by-step explanation:

You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.

<em>Algebraic solution</em>

Algebraically, you can set y = -x +3, and solve for x. That gives you ...

x = 3 -y

Using the relation given at the start:

0 < x < 1

0 < 3 -y < 1 . . . . . substitute for x

Adding y gives ...

y < 3 < y+1

We can separate this into two inequalities:

y < 3, and

3 < y+1

2 < y . . . subtract 1

Now, we have ...

2 < y < 3 . . . . . the location of point C

As you can see, it is much easier to use the number line directly to find the desired point.

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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

Planes A and B intersect.

viktelen [127]

Answer:

Point W

Step-by-step explanation:

Planes A and B intersect at an angle. Intersection of lines is when two lines meets at a particular point and cuts each other at the same point. Its a measure of perpendicularity for right angles and greater or lesser for others.

At any point W, line m and line n cuts each other at point W to form an angle as shown from the diagram.

6 0

3 years ago

Read 2 more answers

0.91 divided by -0.13

den301095 [7]

0.91÷-0.13
=-7
hope this helps!

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4 years ago

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GenaCL600 [577]