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
9966 [12]
3 years ago
10

Mark and his friends order two pizzas of the same size .•The first pizza is cut into 6 slices of equal size .•The second pizza i

s cut into 4 slices of equal size. Each person plans to take 2 slices of pizza. Mark concludes that he would get more pizza by taking 1 slice from each pizza, instead of 2 slices from the first pizza. Explain why Mark is correct. Be sure to include a number comparison by using > or < in you explanation.
Mathematics
1 answer:
nydimaria [60]3 years ago
6 0

Mark is correct because taking a slice from each pizza would be 3/6 or 1/2 of the pizza but taking two slices of the first pizza, Mark wouldn't get as much because that is the same as 2/6 or 1/3 of the pizza. 1/2 > 1/3 therefore Marks conclusion is correct.

You might be interested in
Which graph represents the function f(x)=2x/x^2-1
velikii [3]
See attachment for your answer:

4 0
3 years ago
Read 2 more answers
Graph the functions f(x)=−6x+2 and g(x)=−2x+2+6 on the same coordinate plane.
mr Goodwill [35]

Answer:

here

Step-by-step explanation:

3 0
3 years ago
A jar of marbles contains 120 marbles the larger jar of marbles contains one and 56 times as many marbles how many marbles are i
Papessa [141]
I think it’s 6721 marbles in the larger jar.
6 0
3 years ago
PLEASE HELP ME I NEED TO PAST THIS TEST. Jack invests $30,000 with an interest rate of 4.5% compounded quarterly. After 6 years,
zavuch27 [327]

Answer:

1350

Step-by-step explanation:

Hope this helps!

3 0
3 years ago
Let the number of chocolate chips in a certain type of cookie have a Poisson distribution. We want the probability that a cookie
ludmilkaskok [199]

Answer:

\lambda \geq 6.63835

Step-by-step explanation:

The Poisson Distribution is "a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event".

Let X the random variable that represent the number of chocolate chips in a certain type of cookie. We know that X \sim Poisson(\lambda)

The probability mass function for the random variable is given by:

f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...

And f(x)=0 for other case.

For this distribution the expected value is the same parameter \lambda

E(X)=\mu =\lambda

On this case we are interested on the probability of having at least two chocolate chips, and using the complement rule we have this:

P(X\geq 2)=1-P(X

Using the pmf we can find the individual probabilities like this:

P(X=0)=\frac{e^{-\lambda} \lambda^0}{0!}=e^{-\lambda}

P(X=1)=\frac{e^{-\lambda} \lambda^1}{1!}=\lambda e^{-\lambda}

And replacing we have this:

P(X\geq 2)=1-[P(X=0)+P(X=1)]=1-[e^{-\lambda} +\lambda e^{-\lambda}[]

P(X\geq 2)=1-e^{-\lambda}(1+\lambda)

And we want this probability that at least of 99%, so we can set upt the following inequality:

P(X\geq 2)=1-e^{-\lambda}(1+\lambda)\geq 0.99

And now we can solve for \lambda

0.01 \geq e^{-\lambda}(1+\lambda)

Applying natural log on both sides we have:

ln(0.01) \geq ln(e^{-\lambda}+ln(1+\lambda)

ln(0.01) \geq -\lambda+ln(1+\lambda)

\lambda-ln(1+\lambda)+ln(0.01) \geq 0

Thats a no linear equation but if we use a numerical method like the Newthon raphson Method or the Jacobi method we find a good point of estimate for the solution.

Using the Newthon Raphson method, we apply this formula:

x_{n+1}=x_n -\frac{f(x_n)}{f'(x_n)}

Where :

f(x_n)=\lambda -ln(1+\lambda)+ln(0.01)

f'(x_n)=1-\frac{1}{1+\lambda}

Iterating as shown on the figure attached we find a final solution given by:

\lambda \geq 6.63835

4 0
3 years ago
Other questions:
  • Shyla covered a box with fabric. the dimensions of the box are shown in the figure below. 7 inches, 11 inches, 8 inches. the fab
    10·2 answers
  • How do we do improper faction
    8·1 answer
  • I am so lost. Please help.
    10·1 answer
  • The Bell family's bill at a restaurant totaled $34.62. How much tip should they leave for their waiter? The standard for tipping
    14·2 answers
  • Orlando bought a new couch for $2,904, using the furniture store's finance plan. He will pay $121 a month for 24 months. Which e
    7·2 answers
  • Did I get this right?
    8·1 answer
  • Convert fractions to a fraction out of 100. <br>15/60=? <br>30/60=? <br>25/75=?
    6·1 answer
  • The area of a circle is 3.14 square meters. What is the circle's radius?
    11·2 answers
  • How do I solve this equation and find the vertex, axis of symmetry, y intercept and the domain and range?
    6·1 answer
  • 2.Mauricio tanqueó su auto en una estación de gasolina. Si el galón costo $ 7.000 y él pagó 12.250 por el servicio, ¿Qué fracció
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!