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Svetllana [295]
3 years ago
7

VX

Mathematics
2 answers:
sleet_krkn [62]3 years ago
4 0

Answer:

A) y=3x-2

Step-by-step explanation:

Because slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Paladinen [302]3 years ago
3 0

Answer:

The answer can be calculated by doing the following steps;

Step-by-step explanation:

You might be interested in
Isabel got her haircut for $16. she left a 15% tip. what is the total amount of money isabel paided?
Gnom [1K]
$16x.15=$2.40
16+2.4=18.40 the answer is $18.40
Hopefully this is helpful.
8 0
3 years ago
An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new meth
Anna35 [415]

Answer:

With 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

Step-by-step explanation:

We are given that the effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 655.6 vehicles per hour, with a standard deviation of 311.7 vehicles per hour.

A traffic engineer states that the mean improvement is between 583.1 and 728.1 vehicles per hour.

<em>Let </em>\bar X<em> = sample mean improvement</em>

The z-score probability distribution for sample mean is given by;

            Z =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = mean improvement = 655.6 vehicles per hour

            \sigma = standard deviation = 311.7 vehicles per hour

            n = sample of simulations = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the mean improvement is between 583.1 and 728.1 vehicles per hour is given by = P(583.1 < \bar X < 728.1) = P(\bar X < 728.1) - P(\bar X \leq 583.1)

  P(\bar X < 728.1) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{728.1-655.6}{\frac{311.7}{\sqrt{50} } } ) = P(Z < 1.64) = 0.9495

  P(\bar X \leq 583.1) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{583.1-655.6}{\frac{311.7}{\sqrt{50} } } ) = P(Z \leq -1.64) = 1 - P(Z < 1.64)

                                                            = 1 - 0.9495 = 0.0505                      

<em />

<em>So, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.64 in the z table which has an area of 0.9495.</em>

Therefore, P(583.1 < \bar X < 728.1) = 0.9495 - 0.0505 = 0.899 or 89.9%

Hence, with 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

6 0
3 years ago
What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equati
Klio2033 [76]

Answer:

y = x +7

Step-by-step explanation:

Given

Point\ (x_1,y_1) = (4,11)

Perpendicular to y = -x + 14

Required

Determine the line equation

An equation has the form

y = mx + b

Where

m = slope

By comparison with y = -x + 14

m = -1

Because the line is perpendicular to y = -x + 14, the following relationship exists

m_1 = \frac{-1}{m} i.e. the condition for perpendicularity

Where m1 is the slope of the equation that passes through Point\ (x_1,y_1) = (4,11)

So, we have:

m_1 = \frac{-1}{-1}

m_1 = 1

The line equation is then calculated using:

y - y_1 = m_1(x - x_1)

Where

m_1 = 1

Point\ (x_1,y_1) = (4,11)

So, we have:

y - 11 = 1(x - 4)

y - 11 = x - 4

Add 11 to both sides

y - 11+11 = x - 4+11

y = x - 4+11

y = x +7

<em>The B, C and D parts of your question are not clear.</em>

<em>Apply the same steps used in (a) above and you'll get your answers</em>

7 0
3 years ago
Which is the value of this expression when a=5 and k=-2? ?
Valentin [98]

Hey there! I'm happy to help!

a^-^2 is the same thing as 1/a². So, 5^-^2 is 1/25. This is multiplied by 3² which is 9, so this is 9/25.

In the denominator, we have 5^-^1, which is 1/5. We multiply this by 3, which is 3/5.

So, we divide 9/25 by 3/5, giving us 3/5.

Now, we raise this to the power of -2, so we flip the numerator and denominator and then square both numbers, giving us 25/9.

Have a wonderful day! :D

4 0
3 years ago
The Pythagorean Identity states that:
stich3 [128]

Answer:

Step-by-step explanation:

cos θ=8/17

sin θ=√(1-cos²θ)=√(1-(8/17)²)=√(1-64/289)=√((289-64)/289)=√(225/289)=15/17

4 0
2 years ago
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