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stiks02 [169]
3 years ago
13

How do I find the angle measurement of a rhombus

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
125 is part of a supplementary angle so you need to subtract 125 from 180 

which is 55
 so the angle adjaecent to to the 125 angle is 55 degrees
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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
Solve for h<br><br> h – 5 = -30<br><br> Make sure to show your work for full points!
Zielflug [23.3K]
H-5 = -30
Add 5 to both sides to get variable h by itself
h = -25
7 0
3 years ago
Read 2 more answers
What is 5c-4c+c-3c and 3a+6+5a-2 and 8b+8-4b-3?
ELEN [110]

Answer: -c

8a+4

4b+5

Step-by-step explanation:

5c-4c+c-3c

c+c-3c

2c-3c

-c

3a+6+5a-2

8a+4

8b+8-4b-3

4b+5

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The rational number that expresses a loss of $25.30 is +$25.30 -$25.30 +$2.53 -$2.53 , and the rational number that represents a
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It’s the 2nd one I hope this helps homie
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3 years ago
Read 2 more answers
Help!! need this asap
lesya [120]

Answer:

A≈21.46

<em>Hope Helps </em>

<em>:)</em>

8 0
3 years ago
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