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ra1l [238]
3 years ago
7

You need to fill up a 5 gallon drum of liquid product. The drum currently has 1.5 gallons of liquid inside. How much more liquid

can you put inside the drum?
Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
8 0
Subtract the amount the drum holds by what's already in the drum.
5-1.5= 3.5 gallons
Genrish500 [490]3 years ago
5 0
You need 3.5 so the answer is 3.5
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Customers arrive at a restaurant according to a Poisson distribution at a rate of 20 customers per hour. The restaurant opens fo
jenyasd209 [6]

Answer:

0.087

Step-by-step explanation:

Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:

= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:

X₅ ~ Poisson (20 (5/60))

X₅ ~ Poisson (1.6667)

Formula for computing probabilities for Poisson is as follows:

P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!

P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! =  (e^-1.6667)((1.6667²)/3!)

P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)

P(X₅= 3) = (2.718^(-1.6667))0.46

P(X₅= 3) = 0.1889×0.46

P(X₅= 3) = 0.086894

P(X₅= 3) = 0.087

Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.

8 0
3 years ago
19 A triangle has coordinate points at A 1, 3) B(3, 6) and C(3, 3). What is distance between of AC? (8 Points)​
lawyer [7]

Answer:

4 I think

Step-by-step explanation:

hope this help's

3 0
3 years ago
Which equation describes the circle
deff fn [24]

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

\large \boxed{ {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2} }

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

\large{ {(x - 5)}^{2}  +  {(y - ( - 1))}^{2}  =  {7}^{2} } \\  \large{ {(x - 5)}^{2}  +  {(y  + 1)}^{2}  =  {7}^{2} } \\  \large{ {(x - 5)}^{2}  +  {(y  + 1)}^{2}  = 49 }

So the answer is B choice.

6 0
3 years ago
What is the reciprocal of 4/12?​
fenix001 [56]

Answer: 12/4 or 3

Step-by-step explanation: Switch the numerator and denominator. This should leave you with the answer above.

7 0
3 years ago
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Planes X and Y are perpendicular. Points A, E, F, and G are points only in plane X. Points R and S are points in both planes X a
NemiM [27]
Given:

Planes X and Y are perpendicular to each other
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Points R and S are points in both planes X and Y
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The lines which could be perpendicular to RS are EA and FG. 
6 0
3 years ago
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