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3 years ago

A list of consecutive integers begin withs with m and ends with n. If n-m = 66, how many integers are in the list?

Mathematics

1 answer:

malfutka [58]3 years ago

5 0

Answer:

Step-by-step explanation:

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Original price: ? Percent of discount: 25% Sale price: $45

My name is Ann [436]

Answer:

Original price is 11.25

Step-by-step explanation:

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2 years ago

Read 2 more answers

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.

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

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3 years ago

Abby needs 8.75 bags of carrots two times a month to feed the horses. How many bags will she need to feed the horses for 7 month

8090 [49]

Answer:

122.5

Step-by-step explanation:

take 8.75 multiply it by 2 then multiply it by 7 to get your answer 122.5

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3 years ago

You sell soup mixes for a fundraiser. For each soup mix you sell, the company that makes the soup receives x dollars l, and you

Whitepunk [10]

Answer: $ 6

Step-by-step explanation:

Here, the cost price of each soup = x dollars

The cost price of 16 soup = 16 x

The selling price of 16 soup = 16 x + 96

Since, the total money received for 16 soup = The selling price of 16 soup - The cost price of 16 soup

= 16 x + 96 - 16 x

= 96

Thus, the total money received for 16 soup = 96 dollars

⇒ The total money received for 1 soup = $\frac{96}{16}$ dollars

⇒ The total money received for 1 soup = 6 dollars

Hence, for each soup 6 dollars is received.

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3 years ago

Your turn! Problem 1 Determine the translation that maps point B(2, 1) to point B'(-4,5).

Charra [1.4K]

Answer:

Shift 4 units up, and 4 units to the left.

Step-by-step explanation:

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3 years ago