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2 years ago

12

a blockbuster movie makes about $247,000,000 in the United States during its opening weekend. that same weekend another movie op

ens but only makes about $5,200,000

1 answer:

Nutka1998 [239]2 years ago

7 0

Answer:

whats the question?

Step-by-step explanation:

You might be interested in

Tim and Jim are working on a school project together. If he had to work by himself, it would take

Vladimir [108]

Answer: 6 hours

Step-by-step explanation:

Given, Tim and Jim are working on a school project together.

Tim takes 10 hours to complete the school project.

If Jim worked alone, it would take him 15 hours

Let t be the time they both take if they work together.

Then, $\dfrac{1}{t}=\dfrac{1}{\text{Time taken by Tim}}+\dfrac{1}{\text{Time taken by jim}}$

$\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3+2}{30}=\dfrac{5}{30}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow t=6$

So, it will take<u> 6 hours</u> to complete the school project together .

4 0

2 years ago

Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the

solong [7]

Answer:

The number of times Ivan and Adeline have the same number written on the board is 6.

Step-by-step explanation:

Consider the procedure as follows:

On each half of the board, the number 2 is written.
On Ivan's teacher's signal, Ivan multiplies the number on his side of the board by -2 and writes the answer on the board, erasing the number he started with.
Adeline does the same on each signal, except that she multiplies by 2.
The teacher gives 10 signals in total.

Consider the numbers on each half of the board:

Ivan Adeline

2 2

2 × -2 = -4 2 × 2 = 4

-4 × -2 = 8 4 × 2 = 8

8 × -2 = -16 8 × 2 = 16

-16 × -2 = 32 16 × 2 = 32

32 × -2 = -64 32 × 2 = 64

-64 × -2 = 128 64 × 2 = 128

128 × -2 = -256 128 × 2 = 256

-256 × -2 = 512 256 × 2 = 512

512 × -2 = -1024 512 × 2 = 1024

-1024 × -2 = 2048 1024 × 2 = 2048

Thus, the number of times Ivan and Adeline have the same number written on the board is 6.

6 0

2 years ago

Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. one time while inside a volcano, he heard some rum

defon

From the given scenario is this particular item, the equation that can be derived for the distance traveled after x seconds is,
y = d₀ + (4)x
Substituting the known values x and y in order to solve for d₀ will give us an answer of,
13 = d₀ + 4(3)
d₀ = 1
Thus, the answer is 1 m.

5 0

2 years ago

In the transmission of digital information, the probability that a bit has high, moderate, and low distortion is 0.02, 0.07, and

Leviafan [203]

Answer:

A. (Table Attached)

B. (See Step 3)

C. 0.06 (See Step 4)

D. NOT independent (See Step 5)

Step-by-step explanation:

<h3 /><h3>STEP 1:</h3>

Name the probabilities:

p₁ = 0.02, p₂ = 0.07, p₃ = 0.91

q₁ = 1-p₁ = 0.98 , q₂ = 1-p₂ = 0.93 , q₃ = 0.09

Let X and Y be the number of bits with high and moderate distortion out of three.

<h3>STEP 2:</h3>

A.

The function will follow multinomial distribution:

$f_{XY}(x,y) = P(X=x, Y=y) = \frac{3!}{x!y!(3-x-y)!} (p_1^x)(p_2^y)(p_3^{3-x-y})$

Substitute the values and make a table.

TABLE IN ATTACHMENT

<h3>STEP 3:</h3>

B.

We calculate marginal distribution by:

$P (X=x)=$ <em>∑</em> $P(X=x,Y=y)$

$fx(x)$ can be found by adding all the probabilities in each row for different value of X

For X=0 , ∑P = 0.94157441

For X=1 , ∑P = 0.057624

For X=2 , ∑P = 0.001176

For X=3 , ∑P =0.000008

<h3>STEP 4:</h3><h3>C.</h3>

The mathematic expectation E is the sum of product of each possibility with its probabiity.

$E(X)=$ <em>∑ </em> $xP(X=x)$

Find E(X):

$E(X)= (0*0.9415744)+(1*0.057624)+(2*0.001176)+(3*0.000008)$

$E(X)=0.06$

<h3>STEP 5:</h3>

Condition probability states:

$P(A|B)=\frac{P(A,B)}{P(B)}$

It can also be written as:

$f_{Y|X=1}(y)=\frac{f_{XY}(1,y)}{f_x(1)}$

Where $f_x(1)\\$ = 0.057624

Calculate the quotient:

$Y|_{x=1}$ = 0 , $f_{Y|_X=1$ = 0.862245

$Y|_{x=1}$ = 1 , $f_{Y|_X=1$ = 0.132653

$Y|_{x=1}$ = 2 , $f_{Y|_X=1$ = 0.000510

$Y|_{x=1}$ = 3 , $f_{Y|_X=1$ = 0

Find the dependency:

$f_{XY}(y)=f_X(x)f_Y(y)$

We found that

$f_{Y|_X=1$ = 0.862245

Calculate $f_Y(1)$ from summing the column from the table

$f_Y(1)=0.17428341+0.007644+0.000084\\f_Y(1)=0.18201141$

Which are not equal.

Conclusion:

X and Y are NOT Independent

7 0

2 years ago

A manufacturer produces two models of toy airplanes. It takes the manufacturer 20 minutes to assemble model A and 10 minutes to

Georgia [21]

Answer:

A - 90 units

B = 0 units

Step-by-step explanation:

Here we have two models A and B with the following particulars

Model A B (in minutes)

Assembly 20 15

Packing 10 12

Objective function to maxmize is the total profit

$z=12A+8B$ where A and B denote the number of units produced by corresponding models.

Constraints are

$20A+15B\leq 1800\\\\10A+12B\leq 1080$

These equations would have solutions as positive only

Intersection of these would be at the point

i) (A,B) = (60,40)

Or if one model is made 0 then the points would be

ii) (A,B) = (90,0) oriii) (0, 90)

Let us calculate Z for these three points

A B Profit

60 40 1040

90 0 1080

0 90 720

So we find that optimum solution is

A -90 units and B = 0 units.

6 0

2 years ago