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3 years ago

WILL GIVE BRAINLYEST

Mathematics

1 answer:

arlik [135]3 years ago

8 0

1) regular cost for one person is: 32 ×1 = $32

for X people it would be 32X as you should times by the number of people.

= 32x

2)1 person is (20×1) + 84

20 + 84 = $104

for X people it would be 20x + 84

= 20x + 84

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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

(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

If point A is located at (-7,-3) and there are 12 points between A and B what could be the possible point coordinates for point

Ivahew [28]

(5,-3), (-7,9) are two possible point coordinates

6 0

3 years ago

Help me please assap

Reil [10]

Answer: G

<u>Step-by-step explanation:</u>

(x, y) → ( $\frac{1}{8}x$ , $\frac{1}{8}y$ )

means that the new quadrilateral will be $\frac{1}{8}$ the size of the original quadrilateral, so it will be smaller because the it maps to a fraction that is less than 1.

5 0

3 years ago

Which fraction represents the product of -7/8 and -9/11 in simplest form?

VashaNatasha [74]

Awnser is c I just did this

8 0

3 years ago

$500 shared in ratio 2:3:9

RideAnS [48]

2:3:9......added together = 14

2/14 (500) = 1000/14 = 71.43
3/14 (500) = 1500/14 = 107.14
9/14 (500) = 4500/14 = 321.43

6 0

3 years ago