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Rama09 [41]
3 years ago
6

What is the slope of a line passing through (5, 9) and (7, 15)?

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0
Slope = change in y / change in x
 
          = (15 - 9) / (7 - 5)
 
          =   6 / 2
    
          = 3   

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Which of the following is an example of independent events?
Zolol [24]
The correct answer is Choice B because each of these events are separate items.  Each of the others choices will have a part of the additional events that are affected by the first event.  When the first event happens in each of these options, the second event's probability is affected by the first outcome.  The number of total outcomes changes because of the first event in all choices, except for choice B.
3 0
3 years ago
How is this equation completed? I cannot find any examples in the book.
djverab [1.8K]

Answer: Option D

t_{max} =19\ s

Step-by-step explanation:

Note that the projectile height as a function of time is given by the quadratic equation

h = -12t ^ 2 + 456t

To find the maximum height of the projectile we must find the maximum value of the quadratic function.

By definition the maximum value of a quadratic equation of the form

at ^ 2 + bt + c is located on the vertex of the parabola:

t_{max}= -\frac{b}{2a}

Where a

In this case the equation is: h = -12t ^ 2 + 456t

Then

a=-12\\b=456\\c=0

So:

t_{max} = -\frac{456}{2*(-12)}

t_{max} =19\ s

7 0
3 years ago
A manufacturer of radial tires for automobiles has extensive data to support the fact that the lifetime of their tires follows a
Diano4ka-milaya [45]

Answer:  (C) 0.1591

Step-by-step explanation:

Given : A manufacturer of radial tires for automobiles has extensive data to support the fact that the lifetime of their tires follows a normal distribution with

\mu=42,100\text{ miles}

\sigma=2,510\text{ miles}

Let x be the random variable that represents the lifetime of the tires .

z-score : z=\dfrac{x-\mu}{\sigma}

For x= 44,500 miles

z=\dfrac{44500-42100}{2510}\approx0.96

For x= 48,000 miles

z=\dfrac{48000-42100}{2510}\approx2.35

Using the standard normal distribution table , we have

The p-value : P(44500

P(z

Hence, the probability that a randomly selected tire will have a lifetime of between 44,500 miles and 48,000 miles =  0.1591

3 0
3 years ago
Which of the following statements is true?
Arada [10]

Answer:

its c i tink but im not completly sure

Step-by-step explanation:

5 0
3 years ago
The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle
Dovator [93]

Answer:

243 in²

Step-by-step explanation:

Step 1. Calculate the<em> base and height </em>of the rectangle

We have two conditions:

(1)   2b+ 2h = 72 in

(2)           b = 3h               Substitute in (1)

2(3h) + 2h = 72               Remove parentheses

   6h + 2h = 72               Combine like terms

           8h = 72               Divide by 6

             h = 9 in             Substitute in(2)

             b = 3 × 9

             b = 27 in

Step 2. Calculate the area of the rectangle

A = bh

A = 27 × 9

A = 243 in²

The area of the rectangle is 243 in².

7 0
3 years ago
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