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Anit [1.1K]
2 years ago
7

What is the slope of the line through ( − 5 , − 10 ) (−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and

( − 1 , 5 ) (−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?
Mathematics
1 answer:
nikdorinn [45]2 years ago
7 0

Answer:

3.75

Step-by-step explanation:

We have to find the slope of a straight line through points (-5,-10) and (-1,5).

Now. we know the slope of a straight line through the points (x_{1},y_{1}) and (x_{2},y_{2}) is given by [\frac{y_{2} - y_{1} }{x_{2} - x_{1}} ].

So, in our case (x_{1},y_{1}) ≡ (-5,-10) and (x_{2},y_{2}) ≡ (-1,5).  

Therefore, the slope of the line is \frac{5 - (- 10)}{- 1 - (- 5)} = \frac{15}{4} = 3.75 (Answer)

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A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Con
marishachu [46]

Answer:

(i) 0.15708

(ii) 0.432488

(iii) 3

Step-by-step explanation:

Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.

There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.

As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.

Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.

So, p=1-0.99=0.01

According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is

P(r)=\binom{n}{r}p^r(1-p)^{n-r}\cdots(i)

(i) The total number of persons randomly selected, n=400.

The probability that exactly 5 of them did not see a doctor

So, r=5 , p=0.01

Using equation (i),

P(r=5)=\binom{400}{5}(0.01)^5(1-0.01)^{400-5}

=\frac{400!}{(400-5)!\times 5!}(0.01)^5(0.99)^{395}

=0.15708

(ii) The probability that fewer than four of them did not see a doctor

=P(r

=P(r=0)+P(r=1)+P(r=2)+P(r=3)

=\binom{400}{0}(0.01)^0(0.99)^{400}+\binom{400}{1}(0.01)^1(0.99)^{399}+\binom{400}{2}(0.01)^2(0.99)^{398}+\binom{400}{3}(0.01)^3(0.99)^{397}

=0.017951+0.072527+0.146154+0.195856

=0.432488

(iii) The expected number of people who would not see a doctor

=np

=300\times 0.01

=3

7 0
2 years ago
The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find
Naya [18.7K]
All you would do is times 12 by .15 or 15% you get 1.8 then all you do is 12 minus 1.8 you get $10.20 that is the price of a discounted pizza 

I hope this helps


8 0
2 years ago
Read 3 more answers
Bob's bill for dinner at surefire steak house was $45. In addition he piad 5°\° of the bill in tax and he left a tip for 15°\° o
Anuta_ua [19.1K]

Answer:

$54

Step-by-step explanation:

First

45 times .05= 2.25

Second

45 plus 2.25

Third

45 times .15= 6.75

Fourth

45+2.25+6.75

5 0
2 years ago
Carmen's golf score is 6 strokes less than Linda's. Their two scores total 156. What is each girls score?​
DochEvi [55]

Answer:

Carmen's score is 75 strokes.

Linda's score is 81 strokes.

Step-by-step explanation:

Let the score of Linda be "x".  

<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>

Thus, Carmen's score is (x-6).

The total score of the girls is

= x + (x-6) = 2x-6

The total score is given to be 156.

Thus, the equation becomes,

2x-6 = 156

2x= 162

x = 81

<em>Thus Linda's score is 81 and Carmen's score is (156-81) 75.</em>

5 0
2 years ago
What is the slope of the line through ( − 5 , − 10 ) (−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and
nikdorinn [45]

Answer:

3.75

Step-by-step explanation:

We have to find the slope of a straight line through points (-5,-10) and (-1,5).

Now. we know the slope of a straight line through the points (x_{1},y_{1}) and (x_{2},y_{2}) is given by [\frac{y_{2} - y_{1} }{x_{2} - x_{1}} ].

So, in our case (x_{1},y_{1}) ≡ (-5,-10) and (x_{2},y_{2}) ≡ (-1,5).  

Therefore, the slope of the line is \frac{5 - (- 10)}{- 1 - (- 5)} = \frac{15}{4} = 3.75 (Answer)

7 0
2 years ago
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