1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ganezh [65]
3 years ago
6

At a carnival, Ann sold 314 bottles of drinks a day. She sold 66 bottles more in the afternoon then in the morning. How many bot

tles of drinks did she sell in the morning?
Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

Ann sold 124 bottles of drinks in the morning

Step-by-step explanation:

Let

x ---> bottles sold in the afternoon

y ---> bottles sold in the morning

we know that

Ann sold 314 bottles of drinks a day

so

x+y=314 -----> equation A

She sold 66 bottles more in the afternoon than in the morning

so

x=y+66 ----> equation B

substitute equation B in equation A

y+66+y=314

solve for y

2y=314-66\\2y=248\\y=124

therefore

Ann sold 124 bottles of drinks in the morning

You might be interested in
What is 2x + 5y = 17
Andrej [43]

Answer:

x=1 AND Y=3

Step-by-step explanation:

7 0
3 years ago
Q1 ).The number of white corpuscles on a slide has a Poisson distribution with mean 4.5.
dybincka [34]

The most likely number of white corpuscles om a slide is 4 ,the probability of obtaining this number 4 is 0.190 , probability of obtaining at least two white corpuscles in total on the two slides is 0.999.

Attending to the first question

<h3>What is Poison Distribution ?</h3>

Poisson Distribution is used for an independent event to find its  probability in a fixed interval of time .

Let X be the number of white corpuscles on a slide, then X~Pois(4.5)

a) We have to find the most likely number of white corpuscles on  a slide , which means expected value of Poise(4.5)

The expected value of Poisson distribution with mean λ is equal to λ.

Therefore the expected value is 4.5.

 the number of corpuscles cannot be non-integer,

To find the most likely number in one experiment,

determine it between 4 and 5.

In the common case P(X=k) when X~Poise(λ) is equal to \frac {\lambda^{k}} {k!}}e^{-\lambda}

,\rm e^{-\lambda}  is a constant in terms of k

​so the point is to find out what is greater  :   {\frac {4.5^4} {4!}} or {\frac {4.5^5} {5!}}

 {\frac {4.5^5} {5!}}={\frac {4.5^4} {4!}} * {\frac {4.5} 5}

{\frac {4.5} 5} < 1

So, {\frac {4.5^4} {4!}} is greater

So, the most likely number of white corpuscles om a slide is 4.

b)  the probability of obtaining this number 4 is

P(X = 4)

= {\frac {4.5^4} {4!}}e^{-4.5}=0.190

c) Let Y be the total number of corpuscles on two screens.

Y=X{\scriptscriptstyle 1}+X{\scriptscriptstyle 2}Y=X1+X2 ,

where X{\scriptscriptstyle 1}, X{\scriptscriptstyle 2}  - number of corpuscles on the first and second slide respectively.

Then Y = Poise(4.5 + 4.5) = Poise(9)

the probability, correct to three decimals places of obtaining at least two white corpuscles in total on the two slides

The goal is to find P(Y ≥ 2)

Therefore the probability less than 2 will be subtracted from the total probability i.e. 1

P(Y ≥ 2 ) = 1 - P (Y=0) - P(Y=1)

= 1-{\frac {9^0} {0!}}e^{-9}-{\frac {9^1} {1!}}e^{-9}=1-10e^{-9}=0.999

To know more about Poisson Distribution

brainly.com/question/17280826

#SPJ1

7 0
2 years ago
A local public library decides to track the number of hours that a certain computer is being used. The table represents the numb
Stels [109]

Answer:

Second option: y = 8x-3

Step-by-step explanation:

The equation tha satisfies the given values will be the required linear equation

So,

y = 8x + 45

For x=3 and y=21

21 = 8(3) +45

21 = 24+45

21≠69

As this equation is not satisfied by the values, it is not the correct option..

For y = 8x-3

x=3,y=21

21 = 8(3)-3

21 = 24-3

21=21

x=5, y=37

37 = 8(5)-3

37=40-3

37=37

x=7, y=53

53 = 8(7)-3

53 = 56-3

53 = 53

As the equation is true for all values of x and y. This is this correct option..

8 0
3 years ago
Read 2 more answers
Write the equation for the circle with center (4, -2) and passes through the point (5, 3).
fgiga [73]
 The answer should be (x-4)^2+(y+2)^2=radical 26
5 0
3 years ago
Urgent help!
photoshop1234 [79]

Answer:

4x³ − 15x² − 10x + 24

Distribute

x · 4x² + x · x + x · -6 + (-4) · 4x² + (-4) · x + (-4)(-6)

Simplify:

4x²x + xx - 6x - 4 · 4x² - 4x + 4 · 6

Further simplify (by adding and subtracting like terms)

4x³ − 15x² − 10x + 24

Hope this helps :)

4 0
3 years ago
Read 2 more answers
Other questions:
  • A girls' choir is choosing a concert uniform. They can pick red, green, or purple sweaters, and they can pick tan or black skirt
    8·1 answer
  • Alana spent 21 dollars of her 300 dollar paycheck on a gift . What percent of her paycheck was spent on the gift
    12·1 answer
  • Which of the following is a zero for the function f(x) = (x + 3)(x − 7)(x + 5)? x = −7 x = −3 x = 3 x = 5
    5·2 answers
  • The population of changed from 187.5 to 225. What was the percent increase?
    14·1 answer
  • Translate each sentence into a formula
    9·1 answer
  • 3 3/4 2 1/3 what is the area
    6·1 answer
  • What is 1000 divided by 10
    12·2 answers
  • What is an equation of the line that passes through the point (2,-5) and is parallel
    10·1 answer
  • What is the solution to the system of equations below?<br> Y=-3x+5 and y=4x-2
    12·1 answer
  • What is 1/14 multiply by 9<br><br> please help me find the answer to my question
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!