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Finger [1]
3 years ago
12

Find the slope and a point on the line for the lines with the following equation y - 9 = -3/4(x + 4)

Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

Slope is -3/4 the y-intercept is (0,6)

Step-by-step explanation:

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I believe that A is the correct answer.

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Y = x^2 + 6x + 4<br><br>Find the vertex<br>And please explain how I don't understand.
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2 years ago
Write the equation of a line that goes through point (0,-8) has a slope of 0
Deffense [45]

Answer:

y = x - 8

Step-by-step explanation:

In the equation for slope, y = mx + b,

your slope being 0 makes the equation 'x' or 0x but x is preffered.

Your why would be -8 because there is no x in the point and it is a negative number.

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3 years ago
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An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. If the airline
vivado [14]

Answer:

The answer to the question is;

The probability that a seat will be available for every person holding a reservation and planning to fly is 0.63307.

Step-by-step explanation:

Let the sample size =n = 100

The success probability = 5 % = 0.05

Number of tickets sold = 105 tickets

In the case where there the airline has found that 5 % will not show up, then every passenger should have  a seat, we have  

A Binomial distribution is appropriate where there is a chance for a certain number of successful outcomes from a number of independent trails

However n·p and n·q must be ≥ 5 for there to be a normal approximation of a Binomial distribution thus

n·p = 105×0.05 =  5.25 ≥ 5

and n·q = n(1 - p) = 105 (1 - 0.05) = 99.75 ≥ 5

As the requirements are met, we can proceed with the approximation of the Binomial distribution by the normal distribution

 z = \frac{x-np}{\sqrt{np(1-p)}  } = \frac{4.5 - 105*0.05}{\sqrt{105*0.05(1-0.05)} } =  - 0.3358

We therefore have P(x ≥ 5) = P( x > 4.5) = P(z > -0.34) = 1 - P(z < -0.34) = 1 -0.36693 = 0.63307

Another way to solve the question is as follows

p = 0.95 q = 0.05

μ = np = 0.95*105 = 99.75, σ = \sqrt{npq} = 2.233

P (x≤100) = P(z = P(z<0.34) = 0.63307.

6 0
3 years ago
Find the value of 5 ∙ 23.<br><br><br>30<br><br>40&lt;<br><br>1,000
Mashutka [201]

Answer:  5 * 23 = 115 so 40<

Step-by-step explanation:

4 0
3 years ago
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