whats the sum of the numbers in the 15th row of pascals triangle

Answers

Answer 1

Answer:

2,3,5,7,11,and 13

Step-by-step explanation:

Hope this helped :))

Answer 2

The sum of the numbers in the 15th row of pascals triangle are  2,3,5,7,11,and 13

What is Pascal triangle?

Pascal triangles contains coefficient of 's expanded form's terms.

Thus, 1 is the value in the first row of Pascal triangle.

The variable x has coefficient 1, and that 1 itself, so second row of Pascal triangle has 1 , 1 as values.

For nth row, and its rth term(all counted from 0-indexing(that means, counting of index starts from 0), then that term in Pascal triangle is

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

........

The sum of row n is 2^n, thus the row number with a particular sum;

 2^n = sum

 n·log(2) = log(sum)

 n = log(sum)/log(2)

The sum of the numbers in the 15th row of pascals triangle

 2,3,5,7,11,and 13

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Related Questions

help me asap please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D. should be the answer

Ha, Asa and Aas are correct because there is only one known side, and two known angles, making these postulates correct.

A quadrilateral has no pairs of parallel sides, what two shapes could it be?

Answers

Answer:

Kite

Step-by-step explanation:

Def of kite has no parallel sides

Answer:

Kite and Trapezium

Step-by-step explanation:

Each of them do not have any parallel lines or sides

Which is not a terminating decimal? -3/9, 6/36, 12/28, 7/8

Answers

Answer: 12/28

Explanation: I got this right years ago my man.

7/8 is not a terminating decimal !!!

write the slope intercept ​

Answers

Answer:

b = 4,

m = 4/3,

y = 4x/3 + 4

Step-by-step explanation:

We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:

[tex]y = mx+b[/tex]

We can substitute the points we know:

→ (0,4):

[tex]y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}[/tex]

→ (-3,0):

[tex]y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}[/tex]

So, the line equation in form requested is:

[tex]\boxed{y=\dfrac{4}{3}x+4}[/tex]

Please help, this chapter was on derivatives...

Answers

(3) Differentiating both sides of

[tex]2x^{3/2} + y^{3/2} = 29[/tex]

with respect to x gives

[tex]3x^{1/2} + \dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for dy/dx :

[tex]\dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = -3x^{1/2} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{-3x^{1/2}}{\frac32y^{1/2}} = \dfrac{-2x^{1/2}}{y^{1/2}} = -2\sqrt{\dfrac xy}[/tex]

Then the slope of the tangent line to the curve at (1, 9) is

[tex]\dfrac{\mathrm dy}{\mathrm dx} = -2\sqrt{\dfrac19} = -\dfrac23[/tex]

The equation of the tangent line would then be

y - 9 = -2/3 (x - 1)   ==>   y = -2/3 x + 29/3

(4) The slope of the tangent line to

[tex]y=\dfrac{ax+1}{x-2}[/tex]

at a point (x, y) on the curve is

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{a(x-2)-(ax+1)}{(x-2)^2} = -\dfrac{2a+1}{(x-2)^2}[/tex]

When x = -1, we have a slope of 2/3, so

-(2a + 1)/(-1 - 2)² = 2/3

Solve for a :

-(2a + 1)/9 = 2/3

2a + 1 = -18/3 = -6

2a = -7

a = -7/2

Kim received a discount of $8.60 when she purchased an item for $20. What was the percent of the discount?

Answers

Hi there!

The percentage of the discount is 43%

To find this answer you have to butterfly multiply, in other words, you have 8.60 over 20 (20 representing the 100% of the total amount and 8.60 being the amount of the discount that has to be found). With the two over each other in a fraction form, you multiply the numerator by the 100. Then you divide that product by the denominator. In this case it would be 8.60 x 100 divided by 20. Equaling 43.

Hope this helps!

The graph shows y as a function of x:
y
B
А
D
In which segment is the function increasing?

Answers

Answer:

The correct answer (B)

The entrance for the amusement park is $40, visitors purchase additional $2
tickets for rides, games and food. How many tickets can you buy if you
brought $100 to spend at the park?

Answers

Answer:

2 tickets because round

Step-by-step explanation:

make an equation: 100=40x+2 and solve

2.45 tickets so only two

40+40 =80

100-80=20

but 100-2=98 so there is only 18$ left so not enough for another ticket

Answer:

30 Tickets

Step-by-step explanation:

In the question, it said that $40 is the entrance fee. Then, it said that visitors purchase additional tickets for rides, games, and food. This means that EACH ticket is 2 dollars.

Hence, $40 (entrance fee) + $2 (each ticket price) x (the number of tickets spent) = 100 (total amount of money).

So, the equation should be 40 + 2x = 100, which means x = 30.

100 - 40 = 60

60/2 = 30

30 tickets can be purchased

There are 31 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a four person couch?

Answers

Answer:

7.75

Step-by-step explanation:

The total number of ways could the guests be arranged on a four person couch is 31465.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that there are 31 guests at your home for a dinner party.

The total number of ways could the guests be arranged on a four person couch is -

C{31, 4} = 31!/{(31 - 4)!4!}

C{31, 4} = (31 x 30 x 29 x 28 x 27!/27! x 4!) = (31 x 30 x 29 x 28)/24 = 31465

C{31, 4} = 31465

Therefore, the total number of ways could the guests be arranged on a four person couch is 31465.

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evaluate (distributive property)


9*6= ? sixes + 4 sixes

=30 + ?

=???

Answers

Answer:

Step-by-step explanation:

If A, B and C are integers, according to distributive property;

A(B+C) = AB+AB

A is distributed over B and C

Given

9×6 = 5 sixes +4 sixes

5 sixes = 5(6) =30

4 sixes = 4(6) =24

9×6 = 5(6)+4(6)

9×6 = 30+24

9×6 = 54

Hence ? =5,?? =24 ??? = 54

which of the following are properties of all rectangles? Select all that apply.​

Answers

Answer:

see explanation

Step-by-step explanation:

The rectangle has the following properties

• Opposite sides are parallel and congruent

• All angles are right angles

• The diagonals are congruent

• The diagonals bisect each other

Thus

They are quadrilaterals

Opposite sides are equal in length

All angles are 90°

Opposite sides are parallel

Rectangles are not parallelograms ( the angles of a parallelogram are not necessarily right and diagonals are not congruent )

simplify the following boolean expression (A+B) (A+B)​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex](A + B)(A + B) = [/tex]

[tex] {A}^{2} + 2AB + {B}^{2} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

How long would 8 thousand trillion trillion trillion trillion trillion trillion trillion trillion years be if typed out?

Answers

Answer:

100 digits

Step-by-step explanation:

One trillion is 10¹², so it adds 12 zeros.

8000 adds 4 digits.

8 trillions add 8·12 = 96 zeros.

So in total you have 96+4 = 100 digits

This number would also be called 8 googol, since 1 googol is 10¹⁰⁰

To visit his grandmother, Michael takes a motorcycle 3.85 kilometers and a horse 3.32 kilometers. In total, the
journey takes 50.54 minutes.
How many kilometers is Michael's journey in total?

Answers

Answer:

7.17

Step-by-step explanation:

sorry for the first answer

7.17 kilometres is Michael's journey in total.

Given that, the number of kilometres Michael travelled on motorcycle =3.85 kilometres and on a horse 3.32=kilometers.

How to find the total distance travelled?

Total distance means the actual distance between the places from which the material is transported to the destination place.

The total distance travelled is the path taken by a body to get from an initial point to an endpoint in a given period of time.

Now, total distance travelled=3.85+3.32=7.17 kilometres.

Therefore, the distance travelled is 7.17 kilometres.

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HELP
Describe any similarities or differences in the following equations: y = 4x and y = -4x -3

Answers

Answer:

Step-by-step explanation:

y = 4x is proportional and linear ( y = coffienient(x) )

y = -4x - 3 is not proportional because it has a costant ( -3 )

They are both an equation, they have a coffienient, and a value like (x)

9514 1404 393

Answer:

the lines have opposite slopeseach is a mirror of the other in the line y = -1.5the point (-3/8, -3/2) is common to both lines

Step-by-step explanation:

The slope of the first line is 4; the slope of the second line is -4, so the slopes are opposites of each other. (The lines are not perpendicular.)

The y-intercept of the first line is 0; that of the second line is -3, so they cross the y-axis in different places.

Since the slopes are opposites of each other, one line is a reflection of the other about the horizontal line through the point where the lines meet. That point is ...

  4x = -4x -3

  8x = -3

  x = -3/8

  y = 4x = -3/2

The point of intersection (common to both lines) is (-3/8, -3/2).

Which of these numbers is greater than 2.25 but less than 1? Is it 1 or 1.5 or 0 or 2.5....

I think the answer is 1.5 but can someone tell me how I came up with this answer. He has to write it down.

Answers

Answer:

the answer is 1.5 of course because converting them into their fractional form indeed informs u that 1.5 is the solely answer

What is the value of 12 (2b-4) when b=16

Answers

Answer:

this is the answer

Step-by-step explanation:

[tex]12(2(16) - 4) =336 [/tex]

336

Step-by-step explanation:

12(2×16-4) =12(32-4)=12×28=336

IF YOU ANSWER THIS YOU WILL HAVE BRAINLIEST AND FRIEND REQUEST

Answers

Answer:

Uhm answer what? there is no picture nor question.

Step-by-step explanation:

theres nothing there

Step-by-step explanation:

do u play among us

If x = 4 and y = 3, then xy – 2x = A 4 B 6 C 19 D 40​

Answers

Answer:

A) 4

Step-by-step explanation:

Plug in the value for x and y.

(4 x 3) - 2(4)

12 - 8 = 4

The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected.

Required:
a. Find the probability that the drink is less than fluid ounces. ​
b. Find the probability that the drink is between and fluid ounces. ​
c. Find the probability that the drink is more than fluid ounces. Can this be considered an unusual​ event? Explain your reasoning.

Answers

Complete Question

The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected.

Required:

a) Find the probability that the drink is less than 11.9 fluid ounces

b) Find the probability that the drink is between 11.6 and 11.9 fluid ounces

c) Find the probability that the drink is more than 12.6 fluid ounces. Can this be considered an unusual​ event? Explain your reasoning.

Answer:

a

  [tex] P(X < 11.9 ) =  0.25239  [/tex ]  

b

  [tex]P(  11.6 < X < 11.9 ) =  0.20463 [/tex]

c

  [tex] P(X > 12.6 ) =  0.047757  [/tex ]  

Yes  It is an unusual event

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 12.1[/tex]

   The standard deviation is  [tex]\sigma =0.3[/tex]

Generally the probability that the drink is less than 11.9 fluid ounces is mathematically represented as

      P(X < 11.9 ) =  P(\frac{X -\mu}{\sigma } < \frac{11.9 - 12.1}{0.3} )

   [tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

      [tex] P(X < 11.9 ) =  P(Z< -0.667 ) [/tex ]

From the z table  the area under the normal curve to the left corresponding to -0.667  is

P(Z< -0.667 ) = 0.25239

So

[tex] P(X < 11.9 ) =  0.25239  [/tex ]  

Generally the  probability that the drink is between 11.6 and 11.9 fluid ounces is mathematically represented as

[tex] P(  11.6 < X < 11.9 ) =  P(  \frac{11.6 -12.1}{0.3} < \frac{X -\mu}{\sigma } < \frac{11.9 - 12.1}{0.3} ) [/tex]

   [tex]P(  11.6 < X < 11.9 ) =  P( -1.667 < Z < -0.667 ) [/tex]

=> [tex]P(  11.6 < X < 11.9 ) =  P( Z < -0.667) -  P ( Z < -1.667 ) [/tex]

From the z table  the area under the normal curve to the left corresponding to  -1.667  is

  P(Z< -1.667 ) = 0.047757

So

       [tex]P(  11.6 < X < 11.9 ) =  0.25239  - 0.047757 [/tex]

=>      [tex]P(  11.6 < X < 11.9 ) =  0.20463 [/tex]

Generally the probability that the drink is more than 12.6 fluid ounces is mathematically represented as

         P(X > 12.6 ) =  P(\frac{X -\mu}{\sigma } > \frac{12.6 - 12.1}{0.3} )

      [tex] P(X >12.6 ) =  P(Z> 1.667 ) [/tex ]

From the z table  the area under the normal curve to the right corresponding to 1.667  is

P(Z> 1.667 ) = 0.047757

So

[tex] P(X > 12.6 ) =  0.047757  [/tex ]        

Given that this probability is less than 0.05 , it mean it is an unusual​ event

Mrs. jones bought 25 mangoes for $7.50. she sold 12 mangoes for 60 cents each and the remaining for 55 cents each. a. state whether she made a profit or loss b. calculate the profit loss c. calculate the percentage profit or loss

Answers

Answer:

when u search it one by one

This is for the roller coaster design packet, I need the graph, I’ll give Brainliest and give a handsome amount of 100 points

Answers

Answer:

i am going to work it out

Step-by-step explanation:

i am to ask my mom for help and tell you the answer

Write the improper fraction 62/9 as a mixed number.

Answers

Answer:

62/9

Step-by-step explanation:

6 and 8/9ths. 9 goes into 62 six times, leaving you with 8 left over.

For the following quadratic equation, find the discriminant.
5x^2– 10x – 255 = 0
please help meee

Answers

Answer:

5200

Step-by-step explanation:

STEP 1: The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

[tex]b^2-4(ac)[/tex]

STEP 2: Substitute in the values of a, b, and c.

[tex](-10)^2-4(5)(-255)[/tex]

STEP 3: Evaluate the result to find the discriminant.

[tex]5200[/tex]

A random sample of 2,500 people was selected, and the people were asked to give their favorite season. Their responses, along with their age group, are summarized in the two-way table below.

Among those whose favorite season is spring, what proportion are adults?
1.)250/1000
2.)250/2500
3.)475/2500
4.)250/475
5.)225/475

Answers

Answer:

250/475

Step-by-step explanation:

pls help 19 points !!

Answers

Answer:

(3,-2), (-3,-7), 2nd one is x2,y2

Step-by-step explanation:

Given: BD is perpendicular to AC, measure DBA = 7x+6. Find x

Answers

Answer:

x = 12

Step-by-step explanation:

[tex] \because BD \perp AC... (given) \\\\

\therefore m\angle DBA =90\degree... (1)\\\\

\because m\angle DBA=(7x + 6)\degree... (2)\\[/tex]

From equations (1) & (2)

[tex](7x + 6)\degree= 90\degree \\\\

7x + 6 =90\\\\

7x = 90 - 6\\\\

7x = 84\\\\

x = \frac{84}{7}\\\\

\huge \orange {\boxed {x = 12}} [/tex]

Can someone help me??

Answers

Answer:

24 i think if im wrong im sorry :(

Step-by-step explanation:

Tall Mountain is 8,678.37 feet higher than Mt. Might. What is the elevation of Tall Mountain?
The elevation of Tall Mountain is
feet.

Answers

Answer:

i wont give u a direct answer but i will tell u this.. Look up Mt. Mights height  and subtract 8,678.37 with a cauculator. The answer will tell you

Answer: 28,979.87

Step by step explanation: I GOT THE ANSWER CORRECT!!!!!! For any one wondering I am doing this question right no and what the other guy said about subtracting is wrong because i tried doing tat and it said it was wrong.

44% x 205???????????????????????????????

Answers

Answer: 90.2

Step-by-step explanation:

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