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tankabanditka [31]
2 years ago
10

Explain how to find the slope of a given line given the intercepts of the line

Mathematics
1 answer:
scoundrel [369]2 years ago
6 0

Answer:

y = m x + b     equation of a line where m is the  slope

m = (y2 - y1) / (x2 - x1)

Note: If the line passes thru the origin then m = y2 / x2 since

y1 = x1 = 0

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Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1
Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(c) 0.0039

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

P(x=r)=^nC_rp^rq^{n-r}

(a) Exactly two will be drunken drivers.

P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}

P(x=2)=66(0.2)^{2}(0.8)^{10}

P(x=2)=\approx 0.28347

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)

P(x=3\text{ or }x=4)=P(x=3)+P(x=4)

Using binomial we get

P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}

P(x=3\text{ or }x=4)=0.236223+0.132876

P(x=3\text{ or }x=4)\approx 0.369099

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

P(x\geq 7)=1-P(x

P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]

P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]

P(x\leq 7)=1-[0.9961]

P(x\leq 7)=0.0039

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)

P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315

P(x\leq 5)=0.9806

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0
3 years ago
A utility bill shows that a household used ed d 2001 gallons of water in a 5 day period. What was the average amount of water us
Paraphin [41]
2001 gallons used in 5 days, so the average for one day is 2001/5=400.2 gallons.
5 0
3 years ago
Read 2 more answers
What is the value of x?
garik1379 [7]

Answer:

<h2>x = 30°</h2>

Step-by-step explanation:

The angle 30° and 2x are complementary angles.

Two angles are called complementary angles, if their sum is one right angle (90°).

Therefore we have the equation:

30 + 2x = 90          <em>subtract 30 from both sides</em>

2x = 60      <em>divide both sides by 2</em>

x = 30

5 0
3 years ago
What is the value of 12c3?
g100num [7]
It is 4803 i am not good at math so dont ask me how i got it cause i did it in my head

6 0
3 years ago
Trigonometry<br> y=? x=?
tino4ka555 [31]

Answer:

y=9cm

x=90°

Step-by-step explanation:

y=9cm(being perpendicular)

x=90°=being perpendicular)

3 0
2 years ago
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