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STALIN [3.7K]
3 years ago
10

Bob and Sam each bought a small pizza. The shaded parts of the pictures below show how much of the pizzas they ate. How much piz

za was left over altogether. Write answer in simplest form.

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0
Well, you take the two denominators and find a number that both numbers match. So 3/4 (4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, etc.) and 3/9 (9, 18, 27, 36, 45, 54, etc.). Now take the first number that matches both numbers (36) and ask yourself, 'what do I have to multiply to get that number?' Well, for 4 and 36, you multiply 4 and 9 to get 36, and for 9 and 36, you multiply 9 and 4 to get 36. Then you multiply the top number by the same one you did with the bottom one. So you add up the two numbers, and you have your answer (3/4: 4*9=36 3*9=27 27/36 39: 9*4= 36 3*4=12 12/36 Total=12+27= 39/36=1 3/36=1 1/12). The answer is 1 1/12!
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Audrey, an astronomer is searching for extra-solar planets using the technique of relativistic lensing. Though there are believe
Stolb23 [73]

Answer:

Step-by-step explanation:

The model N (t), the number of planets found up to time t, as a Poisson process. So, the N (t) has distribution of Poison distribution with parameter (\lambda t)

a)

The mean for a month is, \lambda = \frac{1}{3} per month

E[N(t)]= \lambda t\\\\=\frac{1}{3}(24)\\\\=8

(Here. t = 24)

For Poisson process mean and variance are same,

Var[N (t)]= Var[N(24)]\\= E [N (24)]\\=8

 

(Poisson distribution mean and variance equal)

 

The standard deviation of the number of planets is,

\sigma( 24 )] =\sqrt{Var[ N(24)]}=\sqrt{8}= 2.828

b)

For the Poisson process the intervals between events(finding a new planet) have  independent  exponential  distribution with parameter \lambda. The  sum  of K of these  independent exponential has distribution Gamma (K, \lambda).

From the given information, k = 6 and \lambda =\frac{1}{3}

Calculate the expected value.

E(x)=\frac{\alpha}{\beta}\\\\=\frac{K}{\lambda}\\\\=\frac{6}{\frac{1}{3}}\\\\=18

(Here, \alpha =k and \beta=\lambda)                                                                      

C)

Calculate the probability that she will become eligible for the prize within one year.

Here, 1 year is equal to 12 months.

P(X ≤ 12) = (1/Г  (k)λ^k)(x)^(k-1).(e)^(-x/λ)

=\frac{1}{Г  (6)(\frac{1}{3})^6}(12)^{6-1}e^{-36}\\\\=0.2148696\\=0.2419\\=21.49%

Hence, the required probability is 0.2149 or 21.49%

5 0
3 years ago
What is the explicit formula for this sequence?<br><br> −7, −4, −1, 2, 5, …
VikaD [51]

The explicit formula for the sequence is 3n -10

<h3>What is an Arithmetic Sequence ?</h3>

An arithmetic sequence is a series of terms which have  common difference between its consecutive numbers.

The sequence given is

−7, −4, −1, 2, 5, …

The common difference between each term is d =3

-4-(-7) = 3

-1-(-4) =3

The nth term for a sequence is given by

\rm T_n =  a +(n-1)d

Here a is the first term = -7

n is the no. of terms  = n

d is the common difference = 3

Therefore the equation will be

\rm T _n = -7 + (n-1) * 3

\rm T _n = -7 +3n -3

\rm T _n = 3n -10

Therefore the explicit formula for the sequence is 3n -10 .

To know more about Arithmetic Sequence

brainly.com/question/15412619

#SPJ1

7 0
2 years ago
Can someone help me solve this?
Dovator [93]

Answer:

5 felt pads.

7 cards.

Step-by-step explanation:

Remark

  • The total number of items is 12
  • So let the felt sheets be x
  • Let the cards = y

Equations and Solution

x + y = 12

Now the price is 7.75 that she has to pay for the 12 items. She wants to come back with 0 dollars.

0.5x + 0.75y = 7.75             Multiply this equation by 2

x + 1.5y = 15.50                    write the first equation underneath and subtract.

<u>x +    y =   12</u>

      .5y =  3                          Divide by 0.5

y = 3/0.5

y = 7

So she can get 7 cards.

x + y = 12

x + 7 = 12

x = 12 - 7

x = 5

So she can buy 5 felt pads.

8 0
3 years ago
Amma hikes 2and3/4 miles of nature trail in 1 hour and 15 minutes. How many miles does Amman hike per hour?
LekaFEV [45]
Formula
====
d = r * t

Givens
======
d = 2 3/4
t = 1 hour 15 minutes 
r = ????

Calculations
==========
You need to convert the 15 minutes to hours.
1 hour = 60 minutes
x hour = 15 minutes

1/60 = x/15
x = 15/60
x = 0.25 hours
so the time = 1 hours + 0.25 hours
t = 1.25 hours

Now you need to do something with the distance.
3/4 mile = 0.75 of a mile
So the distance = 2 + 0.75 = 2.75 miles

Now you are ready for the answer.
d = r * t you are looking for r
2.75 = r * 1.25
r = 2.75/1.25
r = 2.2 miles / hour

Note you could do this with fractions.
2 3/4 = 11/4
1 1/4 =  5/4

r = 11/4 // 5/4 =11/5 = 2 1/5 which is the same thing as 2.2. If your calculator can handle fractions (those kind of calculators cost about 10 dollars in Canada. It should be 8 in the US) that might be the way to do this problem.
6 0
3 years ago
[{(-72)÷(-2)}2-(-7)]x(-10)
mote1985 [20]

Answer:

-790

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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