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3 years ago

Can anyone please help with this?

Mathematics

1 answer:

LekaFEV [45]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

Find AC

AC = AD + DC = 3y + 4x

(i)

AE = $\frac{1}{2}$ AC = $\frac{1}{2}$ (3y + 4x) = $\frac{3}{2}$ y + 2x

(ii)

CB = - AD = - 3y

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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

Why might you want to use the

Oksana_A [137]

U would do this because no matter the order, the answer will be the same

4 0

3 years ago

Read 2 more answers

I need answer please

weqwewe [10]

Answer:

y = -3/2x + 6

Step-by-step explanation:

Parallel lines have the same slope so slope is -3/2

Using (4,0)

y = mx + b

0 = -3/2(4) + b

0 = -6 + b

b = 6

so y = -3/2x + 6

4 0

2 years ago

HEEELLLLLPPPPPPPPPPPP!!!!!!!

Mademuasel [1]

Answer:

2x³ + 11x² + 8x - 16

Step-by-step explanation:

Multiply:

(x + 4) (2x² +3x - 4)

2x³ + 3x² - 4x + 8x² + 12x - 16

Combine like terms:

2x³ + 11x² + 8x - 16

4 0

3 years ago

Segment BC is a midsegment of triangle TUV. What is the length of segment VC? (A)a (B)2b (C)b (D)c

Ganezh [65]

It would be twice whatever the midsegment equals.

7 0

3 years ago

Can anyone please help with this?​

Can anyone please help with this?