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2 years ago

What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III

Mathematics

2 answers:

inysia [295]2 years ago

7 0

Answer:

Step-by-step explanation:

Alexus [3.1K]2 years ago

3 0

Answer:

The answer is A

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An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do

vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

$P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007$

c) In this case, the distribution is B(1200,0.01)

$P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924$

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

$P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366$

5 0

3 years ago

Help I’ll give brainliest!

natima [27]

Answer:

(D) -0.2

Step-by-step explanation:

slope = 7-5 / 15 - 25

8 0

2 years ago

Find the slope and the y-intercept for y=-5x

aleksley [76]

Slope= -5
Y-intercept= 0

4 0

3 years ago

Which are possible lengths of the sides for a triangle?

icang [17]

Answer:

Step-by-step explanation:

im not sure if they can be the same length, but heres the explanation: so a+b is higher than c, (9=a, 7=b, 11=c) but c is the bigger number by itself. so since a+b is higher added together, it makes it a triangle. sorry if this is wrong but i think its right.

4 0

3 years ago

Abbot is paid weekly for every hour he works. He worked 6 hours each day for 5 days last week. He earned $408, before taxes. Wri

Contact [7]

Answer:

p=13.6h

Step-by-step explanation:

if he works 6 hours a day for five days that's 30 hours. $408 divided by 30 hours is $13.6 per hour.

3 0

2 years ago