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Nady [450]
3 years ago
15

Steve can run 1 2/9 miles in 10 minutes. How many miles can he run in 30 minutes?

Mathematics
1 answer:
mariarad [96]3 years ago
4 0

Answer:

3 2/3

Step-by-step explanation:

remember to give me brainliest cause I helped you

 

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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
A small box weighs 1 25 pounds. A large box weighs 3 1/3 time as much as the small box. how much does the large box weigh?
egoroff_w [7]

Answer:

416.7pounds

Step-by-step explanation:

Given parameters:

         Weight of the small box  = 125pounds

Unknown:

Weight of the larger box = ?

Solution:

The large box weighs 3\frac{1}{3} times as the small box:

               So;

                =   125pounds x \frac{10}{3}

                = 416.7pounds

6 0
3 years ago
Which of the following best describes the equation below? y=-6x+7
Hitman42 [59]

Answer:

y=-6x+7    (Negative Slope)

Step-by-step explanation:

This equation is in slope intercept form.

7= y-intercept

-6= slope

This means that when you plot this on a graph, your slope will be negative.

5 0
3 years ago
PLEASE HELP ME!!
Dmitry_Shevchenko [17]
I think it’s A sorry if it’s wrong!
6 0
2 years ago
GARDENING Jane needs to buy mulch
PSYCHO15rus [73]

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

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