Naruto is choosing between two venues that will deliver food to his house. With probability 1/3 he will choose Ramen Mania (R), and with probability 2/3 he will choose Sushi (S). If he chooses R, 15 minutes after making the call, the remaining time it takes the food to arrive is exponentially distributed with average 10 minutes. If he orders S, 10 minutes after making the call, the time it takes the food to arrive is exponentially distributed with an average of 12 minutes. Given that he has already waited 25 minutes after calling, and the food has not arrived, what is the probability that he ordered from R?

Answer:

c. 5

Step-by-step explanation:

In the attached image we can calculate the radius in a very simple way, if we focus on the axis of the "y" we have that there is a distance that would be the diameter of the circle and goes from -2 to 8.

Between -2 and 8, there is a quantity of 10 units, since:

8 + 2 = 10

they are added because we want to know the total distance, therefore the diameter is 10, and we know that the radius is half the diameter, so:

r = d / 2

r = 10/2

r = 5

therefore the radius is 5 units, that is, the answer is c. 5

Answer:

Step-by-step explanation:

1) 7x - 14 =  2x + 11    {Add 14 to both sides}

  7x - 14 +14 = 2x + 11  +14

7x  = 2x + 25

7x - 2x = 2x + 25 - 2x

5x = 25           {Divide both sides by 5}

5x/5 = 25/5

x = 5

2) 6x + 5 = 3x + 14

6x = 3x + 14 - 5

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 9/3

x = 3

3) 12x + 5 = 4x +37

12x = 4x + 37 - 5

12x = 4x + 32

12x - 4x = 32

8x = 32

x = 32/8

x = 4

4) 3x + 8 = 2x + 21

3x  = 2x + 21 - 8

3x = 2x + 13

3x - 2x = 13

x = 13

5)  5x + 3 = x + 11

5x = x + 11 -3

5x = x + 8

5x - x = 8

4x = 8

x= 8/4

x = 2

Answer: Step-by-step explanation:

1) 7x - 14 = 2x + 11 {Add 14 to both sides}

7x - 14 +14 = 2x + 11 +14

7x = 2x + 25

7x - 2x = 2x + 25 - 2x

5x = 25 {Divide both sides by 5}

5x/5 = 25/5

x = 5

2) 6x + 5 = 3x + 14

6x = 3x + 14 - 5

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 9/3

x = 3

3) 12x + 5 = 4x +37

12x = 4x + 37 - 5

12x = 4x + 32

12x - 4x = 32

8x = 32

x = 32/8

x = 4

4) 3x + 8 = 2x + 21

3x = 2x + 21 - 8

3x = 2x + 13

3x - 2x = 13

x = 13

5) 5x + 3 = x + 11

5x = x + 11 -3

5x = x + 8

5x - x = 8

4x = 8

x= 8/4

x = 2

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

To find the slope of a line, you need to see how much it "rises" over a certain amount of "run". In other words, for a given amount of distance traveled along the x axis, how much it traveled vertically along the y axis. In this line, for every 4 units moved to the right, the line goes up by -3 units. Therefore, the slope of the line is -3/4. Hope this helps!

Answer:

m = -4/5

Step-by-step explanation:

Slope is the difference in y-values/difference in x-values.

Since the graph goes 4 units down and 5 units right, the slope is -4/5.

Answer:

$125.97

Step-by-step explanation:

They have given you everything you need.

p = 100

r = 0.08

t = 3

B = final amount

B = 100(1 + 0.08)^3

B = 125.9712

since you're dealing with money you have to round to the nearest cent

B = $125.97

Please brainlist if I helped

Answer:

no they're not

Step-by-step explanation:

4(x+2) = 4x +8

4x+2= 4x+2

Answer:

No they are not equivalent

First we would have to solve 4(x+2)

In order to solve this we need to multiply. So 4×X is equal to 4x. 4×2=8 Therefore when solving Its 4x+8..and 4x+8 is not equivalent to 4x+2

Answer: the inner semi circle

Step-by-step explanation:

It Depends, but I think the outer semi circle is easier to use.

Answer:

Option (2) is the answer.

Step-by-step explanation:

From the figure attached,

AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.

Here AB = d = 6 feet

CD = w = 32 feet

BC = f = 9 feet

Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.

[tex]\frac{AB}{DE}=\frac{BC}{CD}[/tex]

[tex]\frac{6}{h}=\frac{9}{32}[/tex]

h = [tex]\frac{6\times 32}{9}[/tex]

h = 21.33 feet

h ≈ 21.3 feet

Therefore, height of the light post is 21.3 feet.

Option (2) is the answer.

Answer:

Length = ( x - 1 ) ( m)

Step-by-step explanation:

Area of rectangle is:

A(r) = l*w ( in m² )    where l is the length in m   and w is the width in m

If we have:  A(r)  =  x² - 6*x  - 7 (m²), as an area of a rectangle, then we can factoring the equation, and get the rectangle dimensions, then:

x²  - 6*x  -  7  =  ( x  - 1 ) * ( x - 7 ) = area of the rectangle in m²

As problem statement establishes that ( x - 7 ) ( m)  is the width, then

( x - 1 ) ( m) is the length

Answer:

A.

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

-4/9=x/108

you must multiply both sides

108*-4/9 = x*108

=-9/4

Answer:

364 is an even composite number.

Step-by-step explanation:

It is composed of three distinct prime numbers multiplied together.

Answer:

V = 3×5×4  cm^3

Step-by-step explanation:

The solid used in the question is assumed to be a rectangular box.

The volume of a rectangular box is;

Volume = length × Breadth × height

Given the dimensions of the box as;

4cm by 5cm by 3cm.

The volume V of the box can then be written as the product of the dimensions;

V = 3cm × 5cm × 4cm

V = 3×5×4 cm^3

Answer:a

Step-by-step explanation:

Answer:

C. It is used to find the sum of interior angles

Also , it can be used to find the number of triangles in the polygon,

Step-by-step explanation:

Example :

Find the sum of interior angles whose no of sides is 6 and give the name of the polygon

  Solution

S = (n-2)180°

S = (6-2)180°

S = (4)180°

S = 720°

The polygon is a Hexagon

I hope it helps  :)

S = (n – 2)180° is used to calculate the sum of interior angles of the polygon. Then the correct option is A.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The sum of the interior angle of the polygon is given as,

S = (n – 1)180°

Where, n be the number of the sides.

Then the correct option is A.

More about the polygon link is given below.

https://brainly.com/question/17756657

#SPJ2

Answer:

40 meters²

Step-by-step explanation:

Formula for the area of a triangle is [tex]\frac{1}{2} *b*h[/tex]

[tex]\frac{1}{2} *10*8=\\5*8=\\40[/tex]

The area of the triangle is 40 m²

Answer:

From the estimation,

£10.7 = €14.27

Step-by-step explanation:

Given the conversion rate between the pounds and the euro currencies, we are to convert an amount in pounds to euros

From the estimate;

3 pounds = 4 euros

Thus;

10.7 pounds = x euros

We are using x since the value in euros is not known presently.

To move from here, we simply cross multiply.

That would give;

3 * x = 4 * 10.7

3x = 42.8

x = 42.8/3

x = 14.2666

x = €14.27

Answer:

m=0 and m=3

Step-by-step explanation:

there are two solutions

Answer:

9) v= -12  

10) n= -7

Step-by-step explanation:

9) v - 15 = -27

Add 15 from both sides

i.e. v - 15 + 15 = -27 + 15

v = -12

10) n + 16 = 9

Subtract 16 from both sides

i.e. n + 16 - 16 = 9 - 16

n = -7

Hope this helps!!!

Answer:

4/3x -5

Step-by-step explanation:

Answer:

PLEASE GIVE BRAINLIEST AND THANKS

-0.00068587105

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

over 4 to the left up 5

Answer:

I think it would be simply 6-8

Step-by-step explanation:

becuase 6-(-8) is really 6+8, which isn't correct. It could also be 6-(8), but I'm not sure.

Answer:

18 ft^2

Step-by-step explanation:

1^2=1

1*6=6

6*3=18

Answer: 18 square feet.

Step-by-step explanation:

You can find the surface area of the ice cubes by taking the area of each square side and multiplying it by 6.

1 * 1 = 1, so each side is 1 square foot.

There are six sides on a cube, so each ice cube has a surface area of six feet squared.

There are three ice cubes there, so 3 * 6 = 18 square feet.

Three ice cubes have a surface area of 18 feet squared.

Answer:

Step-by-step explanation:

Given that  : The average marks of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are; 148, 102 and 152.

The objective here is to determine the average of the extracted scores that are the extreme values (outliers)

NOW:

The average marks of candidates in an aptitude test was 128.5

i.e the Mean = 128.5

Standard Deviation = 8.2

outlier will be outsides;

then the range  will be    Mean  ± 3 × SD

= 128.5 ± 8.2 × 3

= 128.5 ± 24.6

Range is  ( 103.9  ,  153.1)

102 is outside this range

Hence, the average of the extracted scores that are extreme values (outliers) will be 102 only

Answer:

1) I think its helps to rename a function as tenths or hundredths when you want to write the decimal equivalent because for example if you wanted to rename this function 6/25 to 24/100 you can know were you put it in decimal (0.24).

2) It was a good idea to change 4/16 to 1/4 to determine a decimal equivalent because it would be easier to put 1/4 in a decimal equivalent.

3) You write the decimal 0.12 as 3/25

4) I dont know...sorry that I cant help with this...I dont know the answer to this question

Step-by-step explanation:

Answer:

887.74

Step-by-step explanation:

Answer:

A. 14

Step-by-step explanation:

The smallest number of socks to pull out to be assured that we get a blue  pair of socks is 14. (Option A)

If there are n objects to be putted into m containers such that n > m, then at least one container will have two objects.

Suppose the worst is happening when you're pulling the socks out.

The total number of colors is 2.

Now the worst case is when the pair is not completed until we draw all the yellow color.

That will happen at 12 + 1 = 13 draws (pair needs 2 blue, and the worst will happen that in initial trials, the yellow socks are not letting the pair get completed, which means at max 1 blue sock and rest 12 socks are drawn, which will get at max 13 draws).

But now any more sock pulled will have to be falling into the blue color category we already have. (this is exactly the pigeonhole principle's use).

After 13 times, you will start getting blue socks.

Since you need a pair of blue socks, you need to pull out socks 1 more time.

So total 14 pulls were required if the conditions were like resisting us at maximum.

In most of the cases, we might not need those 14 pulls, but 14 pulls is the minimum number that will assure you that the socks pulled have a blue pair of socks.

If the conditions are not worst, we would be lucky and that

Thus, the smallest number of socks to pull out to be assured that we get a blue  pair of socks is 14. (Option A is correct).

Learn more about pigeonhole principle and socks pulling here:

https://brainly.com/question/8505936

Answer:

Step-by-step explanation:

[tex]A+B=\theta\\B=\theta-A\\sin B=sin (\theta-A)\\sin A=\lambda[sin \theta cos A-cos \theta sin A]\\sin A[1+\lambda cos \theta]=cos A(\lambda sin \theta) \\\frac{sin A}{cosA} =\frac{\lambda sin \theta}{1+ \lambda cos \theta} \\[/tex]

[tex]tan A=\frac{\lambda sin \theta }{1+ \lambda cos \theta }[/tex]

Answer:

69°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Subtract the sum of the given angles from 360, that is

4 th angle = 360° - (56 + 115 + 120)° = 360° - 291° = 69°

Answer:

number less than 3=1 and 2

so 2/6 = 1/3 in lowest terms

then rolling a 6 =

there is only one 6 so it will be 1/6

I hope I helped