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Sergio039 [100]
3 years ago
13

Kate wants to run at least 8 miles north she plans to run 1/3 mile each day how many days will it take kate to run

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

24 days

Step-by-step explanation:

8 divided by 1/3 is 24

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HELPPPPPPPPPP ITS DUEEEEEEEEEEEEEEEE
erastovalidia [21]

Answer:

Look below.

Step-by-step explanation:

1.) Alternate exterior

2.) Alternate interior

3.) Same-side interior

4.) Vertical

5.) Corresponding

6.) Alternate exterior

8 0
3 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
What is the product of (X4/3)(X2/3) ?
katrin [286]
Hi, the answer to this would be x6/9. I'm assuming the x4/3 and x2/3 are fractions and the x's aren't exponents. Now how I got x6/9 is shown here.

1st Step: Started off by regrouping the terms
1/3x3 x^4x^2

2nd Step: we can easily simplify 3x3 to just 9. And now we're left with 1/9x^4x^2

3rd Step: Now we can simplify the 1/9 to just x^4x^2/9

4th Step: Now we can use the product rule which is simple. So We add the exponents and simplify it to just one exponent. So x4+2=6 that simplifies to just x^6.

Final Answer: x^6/9.
Hope this helped you :)
7 0
3 years ago
Each day 1/2 of the money that is in bank value is removed. No money is added to the value. Which of the following represent the
Alchen [17]

Answer:

Option C. exponential decay function

Step-by-step explanation:

In this problem we have a exponential function of the form

y=a(b^x)

where

y ---> is the money that is in the bank

x ----> number of days

a ---> is the initial value or y-intercept

b is the base of the exponential function

r ---> is the rate of change

b=(1+r)

In this problem we have that

Each day 1/2 of the money that is in bank value is removed

so

r=-50\%=-50/100=-0.50 ---> is negative because is a decreasing function

The value of b is equal to

b=1-r=1-0.50=0.50

y=a(0.50^x)

The value of b is less than 1

b<1

That means -----> Is a exponential  decay function

3 0
3 years ago
Apartment A has a security deposit of $1000 and cost $1200 each month. Apartment B has a $1500 security deposit and cost $1175 e
Rom4ik [11]
1000 + 1200m = 1500 + 1175m
1200m - 1175m = 1500 - 1000
25m = 500
m = 500/25
m = 20 <== they are the same at 20 months...they will both be 25,000
7 0
3 years ago
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