sam writes on a white board the positive integers from 1 to 6 inclusive once each. she then writes p additional fives and q sevens on the board. The mean of all the numbers on the board is then 5.3. What is the smallest possible value of q?

Answers

Answer 1

Answer:7

Step-by-step explanation:

This question is on the ukmt junior maths challenge which I'm doing now, out of the options given I got 7, because 2+4+6+5+(5×20)+(7×7)= 166, (then dividing that by the number of numbers to get the mean) so 166÷31= 5.354.....

Also the 3 has a recurring symbol above it

The 7 is times seven so uh yeah<3

Answer 2

The smallest possible value of 'q' is 7 and this can be determined by using the hit and trial method and mean formula.

Given :

Sam writes on a whiteboard the positive integers from 1 to 6 inclusive once each. she then writes p additional fives and q sevens on the board.The mean of all the numbers on the board is then 5.3.

The following steps can be used in order to determine the smallest possible value of q:

Step 1 - The formula of the mean can be used in order to determine the smallest possible value of q.

Step 2 - The mean of all the numbers is given by:

[tex]\rm \dfrac{2+4+6+5+5p+7q}{6+p+q}=5.3[/tex]

[tex]\rm \dfrac{21 + 5p + 7 q}{6+p+q} = 5.3[/tex]

Step 3 - So, by the hit and trial method, the value of q can be determined.

Therefore, the value of 'q' is 7.

For more information, refer to the link given below:

https://brainly.com/question/25277954


Related Questions

I need to know what this is

Answers

Answer:

[tex]★\:\: \frac{3 {x}^{3} - 18 {x}^{2} + 27x}{2 {x}^{2} + 2x - 12}\:when\:x≠2,\:3 \\ = \frac{3x( {x}^{2} - 6x + 9) }{2( {x}^{2} + x - 6) } \\ = \frac{3x( {(x)}^{2} - 2 \times (3) \times (x) + {(3)}^{2} ) }{2( {x}^{2} + 3x - 2x - 6) } \\ = \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))} \\ = \boxed{‡ \frac{3x {(x - 3)}^{2} }{2(x + 3)(x - 2)}‡}✓[/tex]

3x(x-3)²/2(x+3)(x-2) is the right answer.

What is the value of the expression pls help ​

Answers

Answer:

D. 27

Explanation:

First you solve parentheses by solving the exponent 2^3 and adding 4, and you will get 12. Then you'll solve the exponent 3^2 which will give you 9. Then you will multiply 9 by 12 to get 108. Then you will solve the exponent 2^2 which will get you 4. Finally divide 108 by 4 which will give you 27. Hope this helps!

What is the answer to this ?

Answers

Answer:

B shows a translation of three units to the right

NEED AN ANSWER QUICKK Ayo and Ria are both travelling by train.
Ayo's train travels 90 km in 50 minutes.
Ria's train travels 476 km.
It leaves at 14:05 and arrives at 17:35.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:

28

Step-by-step explanation:

I guessed it right on hegarty maths and this was the answer

I need help please.

Answers

Answer:

0.1 is 5% of 2.

Step-by-step explanation:

Steps:

0.1 ÷ 5% = 2%

Answer:

2

Step-by-step explanation:

5% of 2 is 0.1

50% is 1

5% is 0.1

The cylinder has a surface area of 972cm. Find x. Round to the nearest whole number.
diameter: 2x
height: 5x

Answers

Answer:

A= 2pirh +2pir^2

972=2 x pi x x x 5x + 2 x pi x x^2

972= 31.4x^2 + 6.28x^2

972=37.68x^2

x^2= 972/37.68

x^2=25.796

x= 25.796 square root

x= 5

The value of x is 5 cm.

What is a cylinder?

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The surface area of a cylinder = 972 cm²

The surface area of a cylinder.

= 2πrh + 2πr²

Diameter = 2x

Radius = x

Height = 5x

Now,

2πrh + 2πr² = 972

2π (rh + r²) = 972

2π (5x² + x²) = 972

2π x 6x² = 972

6x² = 972/(2 x 3.14)

6x² = 154.78

x² = 25.79

x = √25.79

x = 5.08

x = 5

Thus,

x value is 5.

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ2

A total of 31 microphones are to be purchased. Each microphone costs $249 estimate the total purchase price by using round numbers

Answers

Answer:

The answer is 7,500

Step-by-step explanation:

31 rounds to 30 and 249 rounds to 250. 30 times 250 is 7,500. I hope this helps.

Tn=n^2+bn+c. Find the values of b and c if the sequences starts with - 1,2,7,14,..​

Answers

Answer:

no

Step-by-step explanation:

no

What is the answer 2/3 + 5/12 =

Answers

Answer:

then answer is 13/12

Step-by-step explanation:

(8+5)/12

13/12

who misses juice WRLD
nd if u listened to him what was your favorite song by him

Answers

Answer:

Lucid dreams i relate too much to it

Step-by-step explanation:

juice wrld :( fly high

Which triangle is a translation of the gray triangle?
O ΔDEF
Ο ΔABC
O Neither

Answers

Triangle ABC i believe

Answer:

abc

Step-by-step explanation:

nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40 nickels?

Answers

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels ([tex]V_{net}[/tex]), measured in cubic milimeters, is the product of the number of elements ([tex]n[/tex]), no unit, and the volume of each element ([tex]V[/tex]), measured in cubic milimeters. That is:

[tex]V_{net} = n\cdot V[/tex] (1)

By volume equation of right cylinder, we have the following formula:

[tex]V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h[/tex] (2)

Where:

[tex]n[/tex] - Amount of nickels, no unit.

[tex]D[/tex] - Diameter of nickel, measured in milimeters.

[tex]h[/tex] - Thickness of nickel, measured in milimeters.

If we know that [tex]n = 40[/tex], [tex]D = 20\,mm[/tex] and [tex]h = 2\,mm[/tex], then the net volume of the stack of nickels is:

[tex]V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)[/tex]

[tex]V_{net} \approx 25132.741\,mm^{3}[/tex]

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

please help meeeeeeee

Answers

Answer:

Volume of the cylinder = 602.88 square centimeters

Step-by-step explanation:

Given that:

Radius of cylinder = 4 cm

Height of cylinder = 12 cm

Volume of a cylinder is given by the following formula;

Volume = πr²h

Putting π = 3.14, r = 4 and h = 12 in the formula

Volume = 3.14 * (4)² * 12

Volume = 3.14 * 16 * 12

Volume = 602.88 square centimeters

Hence,

Volume of the cylinder = 602.88 square centimeters

Shirley bought 20.8 pounds of birdseed at a bargain store she wants to fill her feet or 100 times with anequal amount How much seeds Should she put in the feeder each time

Answers

Answer: 0.208 pounds

Step-by-step explanation:

From the question, we are informed that Shirley bought 20.8 pounds of bird seed at a store and wants to fill her feeder 100 times with an equal amount.

Based on the above, the amount of seeds that she should put in the feeder each time will be the amount of seeds bought divided by the number of feeder to fill. This will be:

= 20.8 / 100

= 0.208 pounds

The measures of the three angles whose sum is 120° are in the extended ratio 2:5:8 find the exact angle measures

Answers

Answer:

ans is 16°,40°and64°

let ratio be 2x,5xand 8x

Step-by-step explanation:

their sum=120°

2x+5x+8x=120

15x=120

x=120/15=8°

2x=2×8=16°

5x=5×8=40°

8x=8×8=64°

⅛ ÷ 2




Please help! I need to remember this!

Answers

Answer:

1/16

Step-by-step explanation:

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

For this type of problem, I do KCF (Keep, Change Flip)

⅛ ÷ 2

Keep the fraction (⅛)

Change the sign to a multiplication (×)

Flip the "2" to its reciprocal ([tex]\frac{1}{2}[/tex])

Now we have a new expression

[tex]\frac{1}{8}[/tex] × [tex]\frac{1}{2}[/tex]

Now we multiply from across

The numerator × Numerator

The denominator × denominator

1 × 1 = 1

8 × 2 = 16

Our answer will be....

[tex]\frac{1}{16}[/tex]

Hope this helped!

Have a supercalifragilisticexpialidocious day!

The value of 2 in 2,783 and in 7,283

Answers

The value of 2 in 2,783: 2 thousand
The value of 2 in 7,283: 2 hundred
Hope it helps!
:)

Plot a point on the coordinate plane to represent each of the ratio values in the table.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the table

Time (h)          Distance (km)

    1                              2

    3                             6

    6                            12

    9                            18

As the time (h) is represented on the x-axis and the distance (km) is represented on the y-axis.

We know that the first coordinate of an ordered pair or point (x, y) is called the x-coordinate and the second coordinate is called the y-coordinate.

Thus, from the table, we get the following points:

(1, 2), (3, 6), (6, 12), and (9, 18)

The given points are plotted on the graph attached below.

From the graph, it is clear that:

Point (1, 2)

Point (1, 2) is represented at x = 1 and y = 2.

Thus, at the point (1, 2):

Speed = Distance / Time = 2/1 = 2km per hour

Point (3, 6)

Point (3, 6) is represented at x = 3 and y = 6.

Thus, at the point (3, 6):

Speed = Distance / Time = 6/3= 2km per hour

Point (6, 12)

Point (6, 12) is represented at x = 6 and y = 12.

Thus, at the point (6, 12):

Speed = Distance / Time = 12/6= 2km per hour

Point (9, 18)

Point (9, 18) is represented at x = 9 and y = 18.

Thus, at the point (9, 18):

Speed = Distance / Time = 18/9= 2km per hour

Please check the attached graph.

Literally have been at this for 20 minutes PLEASE HELP!!!!

Answers

Step-by-step explanation:

first: if we add 3x+7 and 4x+5, it will total a 180 degree angle. This will allow us to solve for x.

3x+7+4x+5=180

7x+12=180

7x=180-12

7x=168

x=24

now we can also see that angle 6 is the same as the angle 3x+7.  and Since we know x=24, we can solve for those angles.

3(24)+7:

72+7=79

So :

<6 =79°

After 18 months, how much more will a
$2,500 investment make at a 5.5% simple
interest rate than a 4% simple interest rate?
A. $48.95
B. $56.25
C. $64.50
D. $72.10

Answers

Answer:

how much more will a

$2,500 investment make at a 5.5% simple

interest rate than a 4% simple interest rate?

A. $48.95

B.

In a regular polygon, all the angles have the same measure. Martin drew a regular polygon in which the sum of the interior angles was 540°. What is the measure of each angle in Martin’s drawing?

Answers

Answer:

108°

Step-by-step explanation:

Answer:

108°

Step-by-step explanation:

I got 100%

Given the endpoint of (-5, - 3) and midpoint of
of (-0.5,0)
find the coordinate point of the other endpoint

Answers

Answer:

You have to plot these points on the graph and find out what the slope is that way or find the slope using the slope form. (below) Then using the slope add the y-coordinate and x-coordinate to the appropriate places in the ordered pair (-0.5,0) this will give you your answer of ordered pair.

Step-by-step explanation:

SLOPE FORMULA-

y2-y1 / x2-x1

What is 3 meters converted to potential energy

Answers

Answer:

4 meters

Step-by-step explanation:

A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.4% of the 458 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period.

Define the Random Variables X and P', in words. which of the following?

a. X is the proportion of people who ran and died in the eight-year period, and P' is the number of people who ran and died in the eight-year period.
b. X is the proportion of all runners that die, and P' is the number of all runners that die.
c. X is the number of people who ran and died in the eight-year period, and P' is the proportion of people who ran and died in the eight-year period.
d. X is the number of all runners that die, and P' is the proportion of all runners that die.

Answers

Answer:

The correct answer is c.

Step-by-step explanation:

x  represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion

P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%

P= 6.41÷458×100=1.4%

75=0.25 X 1.33N
How do you solve for N

Answers

Answer:

N=625/3

Step-by-step explanation:

1) 0.25 ⋅ 1.44N=75

2) 0.36N=75

3) 0.36N/0.36 = 75/0.36

4) N= 625/3

Hope that helps

Have a good day

Step 1: Simplify both sides of the equation.
Step 2: Flip the equation.
Step 3: Divide both sides by 0.3325.
N = 225.56391

Adriana earns $9.40 per hour working at an animal shelter. How much money will she earn for 18.5 hours of work?

Answers

Answer:

173.9

Step-by-step explanation:

9.40 × 18.5 = 173.9.

Answer:

thanks for the points Imao

Step-by-step explanation:

What is the equation of the line that passes through the point (4,11) and is perpendicular to the line with the following equation? Y=4/3x+7

Answers

Answer:

Step-by-step explanation:

y = (4/3)x+7

Slope of the line is 4/3.

Slope of any perpendicular to the line is -¾.

Point-slope equation for line of slope -¾ that passes through (4,11):

y-11 = -¾(x-4)

Of course, you may want to rearrange it to slope-intercept form or standard form.

y = -¾x+15 slope-intercept

x+4y = 60 standard

A company prints contest codes on its fun-size bags of
candy. Each 6-character code consists of the letter A
followed by the letter H followed by 4 of the digits 0
through 9. The digits may repeat. Which of the
following expressions gives the number of different
6-character codes that are possible?
F. 1(1)(10)(10)(10) (10)
G. 2(1)(10)(9)(8)(7)
H. 2(1)(10)(10)(10)(10)
J. 2(2)(10)(9)(8)(7)
K. 2(2)(10)(10)(10)(10)

Answers

Using the Fundamental Counting Theorem, it is found that the expression that  gives the number of different  6 -character codes that are possible is:

F. 1(1)(10)(10)(10) (10)

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the first two digits, there is only one outcome, A and H, respectively, hence [tex]n_1 = n_2 = 1[/tex].For the next four digits, as the digits may repeat, there are ten possible outcomes for each, hence [tex]n_3 = n_4 = n_5 = n_6[/tex].

Hence:

[tex]N = 1 \times 1 \times 10 \times 10 \times 10 \times 10[/tex]

And option F is correct.

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866

-9=2x-5
Please help me now.....

Answers

-9= 2x-5

Add 5 to both sides

-4= 2x

Divide by 2

-2=x or x=-2

Type the given number as a product of prime numbers. 135​

Answers

1,135,3,45,5,27,9,and 15

Answer:

the guy on top is Wright hdjdbzudvsjahdjsvdhhdusvs

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