All categories

3 years ago

Of the 22 students in the class, 16 of them are boys.

Mathematics

1 answer:

Eddi Din [679]3 years ago

6 0

22 students...16 boys

probability student will be a boy is 16/22 which reduces to 8/11 or 72.7%

You might be interested in

The original price of an iPad is $429. The sale price is 30% off the original price. What is the sale price of the iPad? Show yo

jasenka [17]

Answer:

297.3

Step-by-step explanation:

30% of 429 is 128.7

429 which is the original price - 128.7 which is the price off = 297.3

6 0

3 years ago

O Moses makes a school spirit flag. He has as many yards of red fabric as blue

LiRa [457]

Answer: 18x 45 58 should be correct

5 0

2 years ago

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

How do you reduce 6/12

Burka [1]

6/12 is equal to 6 over 12 or .5 or 1/2 when reduced

5 0

3 years ago

Read 2 more answers

Find a number so that 97.3% of it is 36

tiny-mole [99]

So x is the number
x time 97.3%=36
percent measn parts out of 100 so
97.3%=97.3/100=9.73/10=0.973/1=0.973
x times 0.973=36
divide both sides by 0.973
x=36.9989...
answer is aprox 36.9

7 0

3 years ago