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2 years ago

Which of the following point-slope form equations could be produced with the points (4, 5) and (-3, -5)?

Mathematics

1 answer:

NikAS [45]2 years ago

3 0

Answer:

<em>Equation; y = 1 3 / 7x - 5 / 7</em>

Step-by-step explanation:

First consider the slope of this equation we must derive;

Slope Formula = Rise / Run,

y2 - y1 / x2 - x1 ⇒

5 - ( - 5 ) / 4 - ( - 3 ) ⇒

10 / 7 ⇒ Slope : 1 3 / 7

So far we can formulate an equation as such;

y = 1 3 / 7 * x + b, <em>where b ⇒ y - intercept</em>

Given one of the points, substitute into this equation solving for b;

5 = 1 3 / 7 * ( 4 ) + b,

5 = 40 / 7 + b,

b = - 5 / 7

From this we can derive one point - slope from equation to be :

<em>Equation; y = 1 3 / 7x - 5 / 7</em>

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There are many cylinders with a height of 9 inches. Let r represent the radius in

mylen [45]

Answer:

Step-by-step explanation:

V, r, h are the volume, radius, and height, respectively.

V = πr²h = 9πr²

The only error in your previous answers was that you forgot the π.

if r = 1, V = 9π1² = 9π ≅ 28 in³

if r = 2, V = 9π2² = 36π ≅ 113 in³

if r = 3, V = 9π3² = 81π ≅ 254 in³

8 0

2 years ago

Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

6 0

2 years ago

Which point is located at (2, 3)?<br><br><br><br><br> A<br> B<br> C<br> Or<br> D

marin [14]

Answer:

Step-by-step explanation:

3 0

2 years ago

PLEASE ANSWER FAST I WILL GIVE BRAINLIEST

ANTONII [103]

Answer: 10 units²

Step-by-step explanation:

We can divide the shape along the y-axis to get 2 separate triangles. If we find the area of each and add them up, we can get the total area of the figure.

We can get each triangle's area using the formula $A = \frac{1}{2}bh$