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3 years ago

13

Noah's hot chocolate is too hot so he adds 50 mL of 10 degrees Celsius milk to his 150mL mug of hot chocolate that was originall

y 90 degrees Celsius. What will the final temp be of the mixture

1 answer:

spin [16.1K]3 years ago

4 0

Wouldn't it be 80 degrees since the milk was supposed to cool it down you would have to subtract 50 from 150 and 10 from 90

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On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre

Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

$P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}$

$P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514$

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

$P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}$

$P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231$

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0

4 years ago

How do you graph this

MAVERICK [17]

What grade are you in?

I need to know so that I can help you out.

8 0

3 years ago

1. Alexis went shopping for school supplies with $80 in his bank account. He bought a bunch of binders for $23, pens and pencils

masha68 [24]

Answer: So alexis had $80 And he bought a bunch of binders for $23 So If you do the math you will get: $57 But then he buys pens and pencils for $16 So:

$57 - $16 = $41 And then he buys a new backpack for $37. So : $41 - $37 = $4

So yes he had enough to buy all the stuff and still had a little bit leftover!

Hope this helps!

Step-by-step explanation:

6 0

3 years ago

How much money did tommys class collect

Anastaziya [24]

B. 7.50 is the answer

6 0

3 years ago

A bowling alley charges $3 to rent shoes. Four friends each pay for one game and for renting

Aleksandr [31]

Answer:

3(4)+g=28

Step-by-step explanation:

3 is the cost of one pair of shoes and 4 is how many shoes were rented. you multiple the 3 times 4 and get 12 and to get the amount of one game you have to subtract the total amount. the equation I came up with might not be what your teacher wants but thats a start. hope it helped!

3 0

3 years ago