All categories

2 years ago

7 miles into kilometres

Mathematics

2 answers:

Verizon [17]2 years ago

8 0

Hint: 1 mile= 1.609 Kilometers (rounded to hundredth)

lozanna [386]2 years ago

7 0

It is 11.265 kilometers

You might be interested in

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

2 years ago

A 2-pound package of hamburger costs $7.00, and you pay

AysviL [449]

Answer:

14. 00 $

Step-by-step explanation:DIVIDE – 3 ½ ÷ ¼ = 14 hamburgers

4 0

2 years ago

Read 2 more answers

HELP ME FOR NUMBER 7 THROUGH 10

PSYCHO15rus [73]

Si bo^se ko ne to ne co ne sa si

huma cona heto sho

4 0

3 years ago

Colin invests £1200 into his bank account. He receives 3% per year simple interest. How much will Colin have after 4 years? Give

PolarNik [594]

Answer:

1350.61

Step-by-step explanation:

f(x)=1200(1.03^x)

3 0

3 years ago

A line with a slope of -4 passes through the point (0, 0). What is its equation in

Dahasolnce [82]

Answer: y = -4x

Step-by-step explanation: You would use the formula y = mx + b to solve your problem. When you plug the numbers in, you get y = -4x. There would be no "+ b" because in this case, the y-intercept (b) is equal to zero. Therefore, you would not need to write "y = -4x + 0" because that would not be the equation in its simplest form.

4 0

2 years ago