40. If three dice are tossed, find the probability that the sum is less than 16.

Answers

Answer 1

Answer:

0.953703703704

Step-by-step explanation:

We have 6 × 6 × 6 = 216 possible results

You can make a table :

obtaining a sum of 18 in only one case :  (6 ,6 ,6)

obtaining  a sum of 17 in 3  cases :  (5 ,6 ,6) ; (6 ,5 ,6) ; (6 ,6 ,5)

obtaining  a sum of 16 in 6  cases :  (5 ,5 ,6) ; (6 ,5 ,5) ; (5 ,6 ,5)

                                                           (4 ,6 ,6) ; (6 ,4 ,6) ; (6 ,6 ,4)

[tex]\text{the probability that the sum is less than 16} =\frac{216-\left( 1+3+6\right) }{216} = \frac{206}{216} =0.953703703704[/tex]


Related Questions

Clark made five of his truck payments late and was fined five late fees. The total change to his savings from late fees was -$60. How much was one late fee?

$5
$12
$10
$60

Answers

12 because if you do math and know how to if you dived 60 by 5 it would be 12

Brainliest, help, please, quickly! Thank youu

Answers

If u can’t find you answer on here you could try air math
What’s the question??

Help me with this question please! how can you use multiplication to solve system of equations with the linear combination method? Edge answer please, Thank you!

Answers

Answer:

Put both equations into standard form (Ax+By=C).

Multiply one or both of the equations by a number so that you will have opposite coefficients on the same variable.

Add the two equations together. Add the x's, the y's, and the numbers.

Solve for the variable.

Take your answer from the last step and plug it into of the equations (pick the one that looks easiest).

Your solution will be in the form of a coordinate point (x,y).

Step-by-step explanation:

Brainliest! Pls help

Answers

Answer:

3/4

Step-by-step explanation:

same but simple

9/12÷3/3 = 3/4

if this helpful pleas give brainliest!

Answer:

3/4  ( [tex]\frac{3}{4}[/tex] )

Step-by-step explanation:

[tex]\frac{9}{12}[/tex] ÷ [tex]\frac{n}{n}[/tex] = [tex]x[/tex]

to find what to divide 9/12 by first, find their factors

9 - 1, 9, and 3

12 - 1, 12, 2, 6, 3, and 4

since both have 1 and 3 in common, divide by 3

so n (the value you're looking for) is 3

n = 3

[tex]\frac{9}{12}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{3}{4}[/tex]

x = [tex]\frac{3}{4}[/tex]

your answer is [tex]\frac{3}{4}[/tex]

hope this helps:)

PLEASE HELP!!! I NEED AN EASY ANSWER!!!

Answers

Answer:
Problem 1: 4 Problem 2: 3,8,13,18,23
Step-by-step explanation:
Problem 1: 50 blue 50 yellow
half of yellow (25) are sprinkled
Half of blue (25) are sprinkled
The other 25 of the yellow have cherries
The other half of the 25 blue have nuts
---------------------------------------------------------------------------
-Every day he collects 5 more than the first time
T=65
5+10+15+20+25=75 so it has to be less than 5
4+9+14+19+24=70
3+8+13+18+23=65
day 1=3
day 2=8
day 3=13
day 4=18
day 5=23


A right rectangular pyramid is sliced perpendicular to the base through the vertex.

What is the resulting shape of the cross section?


trapezoid

rectangle

triangle

Answers

triangle, try using a model to help you !

Select Statistical or Not Statistical to classify each question.

Answers

reminder for you; statistical means the answer can change/vary and non statistical means the answer is straight forward and can not change!⇪
statistical
not statistical
statistical

What does ! mean in a math problem?

Answers

Answer:

Factorial

Step-by-step explanation:

Factorial: Denoted by the exclamation mark (!). Factorial means to multiply by decreasing positive integers. For example, 5! = 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 120.

Hope this helped you<33

ok finally the answer was

(!). 4! simply means that we are taking the product of 4×3×2×1. See some examples below: 1! = 1 2! = 2×1 = 2

the data table in the illustrate a liner function

x} 0, 2 ,4, 6
y} -5, -2, 1, 4

what is the slope of the liner function? Which graph represents the data

A). -2/3 (graph 1)
B). 3/2 (graph 2)
C). 2/3 (graph 3)
D). -3/2 (graph 4)

Answers

Answer:

Slope = 3/2

Step-by-step explanation:

To find the slope you do:

[tex]\frac{y2-y2}{x2-x1}[/tex]

Plug in any two points:

[tex]\frac{-5-(-2)}{0-2} = \frac{-3}{-2} =\frac{3}{2}[/tex]

Answer: the answer is b

Step-by-step explanation:

Find the radius of the circle with the given diameter.
3. 100 meters

Answers

Answer:

50 meters

Step-by-step explanation:

the diameter is just Rx2 (R being the radius)

and the radius is D divided by 2 (D is the diameter)

Among Americans, 15% have a food allergy. A random sample of 11 Americans is selected.


a. Find the probability that more than 3 have a food allergy.


b. Find the expected value.


c. Find the standard deviation (rounded to 2 decimal places.)


Please make sure to answer thoroughly and explain step by step.
Thanks!

Answers

Answer:

A

Step-by-step explanation:

because it makes the most sense

Mike surveyed his class about what types of pets they have at home. The results are shown in the following Venn diagram. How many of the students have fish at home?



10
5
3
6

Answers

the answer to this problem is 6
Most likely twenty-four

Which data set contains an outlier?

{6.1, 6.8, 7.3, 8, 9.1, 9.5}

{14, 15, 16, 20, 22, 25, 51}

{30, 31, 31, 32, 34, 37}

{11, 12, 12, 12, 13, 13, 14, 14}

Answers

Answer:

The second one has an outlier. (51)

Step-by-step explanation: I see a 51 and the rest are 14,15,20,22 which are all close to each other. 51 is much farther than those numbers.

The second set because 51 is way to high if a number in the context of that set of numbers which makes it the outlier of the group

Help me with this
Another similar question​

Answers

Step-by-step explanation:

you do know that 1 cm = 10 mm, right ?

so,

6 cm = 6×1 cm = 6×10 mm = 60 mm

and that is the ultra-ultra long form of doing this ...

Answer:

60mm

Step-by-step explanation:

This is conversion, so, to find this, we will have to convert 6cm to milimeters.

1cm = 10mm

So [tex]6cm *10mm=60mm[/tex]

Hence, the tail length is 60mm

Have a great day!

Remember to be Kind!

PLSS HELP!!! WIL GIVE BRANLIEST TO WHOEVER ANSWERS FIRST!!!!!

What is the range of the data set shown below?

{2, 4, 4, 6, 6, 8, 10, 11, 11, 11}

A. 6
B. 7.3
C. 9
D. 11

Answers

Range = 9 (Highest value - Lowest value)
Answer:9
subtract the highest number from the smallest number: 11-2=9
hoped this helped!

whats the answer
i dont know this

Answers

Answer:

9.2

Step-by-step explanation:

a^2 + b^2 = c^2 (pythogoras theorem)

7^2 + 6^2 = 85

Square root of 85 = 9.2 ( nearest tenth)

I think this is right if not srry :(

Please Help quick, I need the answer in 5 minutes...

Answers

i think the answer is 2/3 = 5/8

Answer: this answer is A

Step-by-step explanation:

Length: Length, Width:Width

A principal records the lunch choices for 7th grade for a day. Of the 160 students, 21 brought their lunch from home, 103 purchased lunches, and 36 brought a lunch from home and purchased an ice cream.

Are the lunch choices equally as likely? Justify your answer by calculating the probability of each lunch choice.

Answers

Answer:

All of the lunch choices are not equally as likely.

Step-by-step explanation:

Of the 160 students:

21 brought lunch from home = 21/160 = 0.13125

103 purchased lunch = 103/160 =  0.64375

36 lunch + ice cream = 36/160 = 0.225

The probability = what type of lunch a student brings / student population

I hope this helps! Let me know if you have any further questions.

14. A machine can print 1,520 pages per hour. How many pages can it print in 15 min?

Answers

Answer:

Step-by-step explanation:

1 hour equals 60 minutes

Find out how many pages per minute by dividing 1,520 pages by 60 minutes.

= 25.3333333

Therefore the machine prints 25.333333 pages per minute.

Multiply 25.3333333 by 15 minutes = 380

The machine can print 380 pages in 15 minutes.

You can check your work by finding out how many fifteen minute periods are in an hour (60/15=4), and multiplying 380x4

Since 15x4 is 60 and you can print 1520 pages in 60 minutes, you should be able to multiply 380x4 and get 1520 (spoiler alert! 380x4 is 1,520)

Hope that helped!

The dog park is 13 mile wide and 12 mile long. Shayna walks her dog, Buster, around the perimeter of the dog park two times. Explain how you determined whether Shayna and Buster walk more or less than 3 miles.

Answers

Answer:

Step-by-step explanation:

PERIMETER = 1/3 + 1/3 + 1/2 + 1/2 = 2/3 + 1 = 1 2/3 miles for 1 LAP.

For 2 LAPS, 2 x 1 2/3 = (2 x 1) + 2(2/3) = 2 + 4/3 = 2 + 1 1/3 = 3 1/3 miles

Or, 2 x 1 2/3 = 6/3 x 5/3 = 30/9 = 3 3/9 = 3 1/3 miles

Or, 2/1 x 5/3 = 10/3 =   3 1/3 miles

ANSWER: MORE THAN 3 MILES

Answer:  More than 3 miles

=============================================================

Explanation:

We're given a 1/3 by 1/2 rectangle. The perimeter is:

P = 2(L+W)

P = 2(1/3+1/2)

P = 2(2/6+3/6)

P = 2(5/6)

P = 10/6

P = 5/3

The rectangle has a perimeter of 5/3 miles, which is equivalent to the mixed number of 1 & 2/3.

--------------

If Shayna and her dog walked the perimeter once, then the answer would be "less than 3 miles".

However, they walked around the park twice. We'll need to double the result.

2*(5/3) = 10/3 = 3 & 1/3

Therefore, they walked more than 3 miles.

Rosalyn has three different-shaped containers that contain marbles. She has 3 round containers, each holding 16 marbles.
She has 4 square containers, each holding 25 marbles. She has 2 rectangular containers, each holding 33 marbles.
How many marbles are in the containers altogether? Enter your answer in the box.

Answers

Answer:

42,996

Step-by-step explanation:

3*16+4*25+2*33=48+100+66=214

42,996 4 squares marbles containers 33

PLEASE HELP!!!!!!! URGENT!
Drag the tiles to the correct boxes to complete the pairs.

Match each event to the likelihood of its occurrence.

Answers

Answer:

My explanation is below.

Step-by-step explanation:

rolling a six sided die and getting 7 = impossible

This is because a six sided die doesn’t even have the number 7 on it.

Randomly selecting a girl from a team of 14 boys and 4 girls = unlikely

This is because, if there are 14 boys and 4 girls, the girls have a lower chance of getting picked.


Randomly selecting a short straw from a set of 12 short straws and 12 long straws = neither likely nor unlikely

This is because the chance of picking a long straw is 12/24 and the chance of picking a short straw is 12/24 so it’s equal or neither unlikely or likely since you have a equal chance of picking either one.


Picking a bird from a list of 20 bird species and 6 other animals = likely

This is likely because, 20 is more than 6 and because there are 20 birds and 6 other animals, the birds are more likely.

rolling a six side dice and getting 7- impossible
picking a bird from a list with 6 other animals-likely
randomly selecting straws- neither likely or unlikely
randomly selecting a girl-unlikely
hope this helps :)

The figures below are similar. What is the length of x?

Please help!!

(I have a graphing coordinates question I need help with desperately too if you can help!)

Answers

Solution

Here, x/7= 48/24
Or,24x=48* 7
Or,24x=336
Or,x=336/24
Therefore,x=14

Answer:

X=14

Step-by-step explanation:

x/7= 48/24

Or,24x=336

Or,x=336/24

What's an algebraic expression for seven add up to five times a number?

Answers

Answer:

5 (7+x)

Step-by step explanation:

x represents the number you dont know

(5(x)) + 7

Explaination:
5 times the number (x) in parentheses plus 7

can you please help me 50 POINTS!!!!

Answers

Answer:

The mean for the men is 20.2

The mean for the women is 18

I dont know the context but from what I can assume the men are heavier, or have more of something?

Step-by-step explanation:

Im sorry i have not learned this yet it is very confusing I see why u need help with it tho I’m sorry

Please help me with this I would give you 50 points.

Answers

the first two teams have a 3 to 2 ratio

Answer:

2. leopards and pirates

3. 25

Step-by-step explanation:

2.

leopards

15:10 is 3:2 when dividing by 5

pirates

12:8 is 3:2 when dividing by 4

3.

27+24=51

51÷2= 25.5

Calculate.

6-[(-3)+(-7)]-[(-1)-(-5)-(-8)]

Answers

Answer:

if you calculate 6-[(-3)+(-7)]-[(-1)-(-5)-(-8)] you get 4

Step-by-step explanation:

step by step by step

The answer is four, remember to check which sign it is

Can anyone help with this problem??

Answers

Answer: 3 is the correct

Step-by-step explanation:

The factors of 18 are 1,18,2,9,3,6

The factors of 21 are 1,21,3,7

They both have three that goes into each number so that is your answer

For A the answer is 3

1. Interpret a Solution What does the area of the parallelogram represent? Explain.

Answers

The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram. The sum of the interior angles in a quadrilateral is 360 degrees. A parallelogram has two pairs of parallel sides with equal measures

On the graph in the Sketchpad reflect ABC over the X axis. Then translate it 4 spots to the LEFT. Draw ABC in it's new location.

Make sure you label each of the points as to where they will be after the above transformation.

Answers

Answer:

the answer is:

Step-by-step explanation:

A will be at (0,2)

B will be at (3,9)

C will be at (3,2)

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