6. The mean of 5 consecutive integers is 19. What is the difference between the largest and
the smallest of the 5 integers?​

Answers

Answer 1

Answer:

4

Step-by-step explanation:

The integers are

x

x+1

x+2

x+3

x+4

since they are consecutive

The largest is x+4

The smallest is x

Difference is

x+4 -x

4

Answer 2

Answer:

Step-by-step explanation:

If the least integer is n, it means the five consecutive integers are:

n,n+1,n+2,n+3,n+4

Summing all integers we have:

n + n+1+n+2+n+3+n+4

=5n+10

The mean of this integers is

5n+10 /5 =19

5n+10=19*5

5n + 10 = 95

5n = 95 - 10

5n =85

n=85/5=17

The smallest of the integer is n= 17

The largest integer is n + 4 =17+4=23

The difference between the least and largest integer would be;

Is 4

The sum of largest integer and the smallest integer is 23 + 17 = 40


Related Questions

2x + 3y = 12
Complete the missing value in the solution to the equation.
,8)

Answers

Answer: -6

Step by step:
2x + 3(8) = 12
2x + 24 = 12
2x = -12
x = -6

∫ ( cos^4(3x)) d x ​

Answers

Answer:

⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C

Step-by-step explanation:

∫ cos⁴(3x) dx

Use power reduction formula:

⅛ ∫ (3 + 4cos(6x) + cos(12x)) dx

⅜ ∫ dx + ½ ∫ cos(6x) dx + ⅛ ∫ cos(12x) dx

⅜ ∫ dx + ¹/₁₂ ∫ 6 cos(6x) dx + ¹/₉₆ ∫ 12 cos(12x) dx

⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C

I really just need a simple STEP-BY-STEP explanation on how you do percentages.

Answers

Can you please elaborate on what kind of percentages?

The article "Snow Cover and Temperature Relationships in North America and Eurasia"† used statistical techniques to relate the amount of snow cover on each continent to average continental temperature. Data presented there included the following ten observations on October snow cover for Eurasia during the years 1970-1979 (in million km2): 6.5 12.0 14.9 10.0 10.7 7.9 21.9 12.5 14.5 9.2 What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?

Answers

Answer:

Step-by-step explanation:

From the given information,

The ten observation data on october  snow cover for Eurasia  during the years is 6.5, 12.0, 14.9, 10.0, 10.7, 7.9, 21.9, 12.5, 14.5, 9.2

What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?

For the given data, 21.9 is an outlier, so trimmed mean would be good choice for the researcher,

Remove the smallest and the largest values to compute the trimmed mean

[tex]\bar x = \frac{12.0+14.9+10.0+10.7+7.9+12.5+14.5+9.2}{8} \\\\=\frac{91.7}{8} \\\\=11.465[/tex]

What’s the correct answer for this? Select the ones that apply

Answers

Answer:

A: -2

B: -10

Step-by-step explanation:

A: the slope of line b is -2

B: Point: (-6,2)

So x= -6 and y = 2

Putting in slope intercept formula for finding b

y=mx+b

2=(-2)(-6)+b

2= 12 + b

b = 2-12

b= -10

The y-intercept of line b is -10

4 ÷ 1/5 = 20 because​

Answers

Step-by-step explanation:

BECAUUUUSE ;

[tex]4 \div \frac{1}{5} = 20 \\ \frac{4}{1} \div \frac{1}{5} = 20 \\ \frac{4}{1} \times \frac{5}{1} = 20 \\ \frac{20}{1} = 20[/tex]

Answer:Because the divide sign change to multiplication sign, and when this happens denominator in the right hand side will become numerator,while the formal numerator will become denominator.

Step-by-step explanation:

4 ➗ 1/5

4 x 5/1=20

Graph the solution set for each given inequality
a. x > 7.75
b. x Underscore-< 5/2

I just want to see how to graph it. Sorry if that's too much to ask :P

Answers

Answer:

  see the attachments

Step-by-step explanation:

An inequality without the "or equal to" case is graphed with an open circle at its boundary point. If the "or equal to" case is included, then the dot at the boundary is filled in (a solid dot). The number line is shaded to the left or right of the boundary point, depending on whether the set being graphed includes values less than or greater than the boundary value. Usually, a line extending indefinitely will have an arrow on its end. (Not here, because the program used doesn't easily support drawing arrows.)

__

a. The boundary point at x=7.75 has an open circle, and the shading of the number line extends indefinitely to the right from there.

__

b. The boundary point at x=2.5 is a solid dot, and the shading extends indefinitely to the left.

What is true when you rent? A.you build equity in your house,B.you are responsible for any repairs,c. You pay fewer up front costs

Answers

Answer: C you pay fee fewer upfront cost

Step-by-step explanation:

What’s the correct answer for this?

Answers

Answer:

A.

Step-by-step explanation:

tan x= 6/8

usually tan θ = perpendicular / base

So,

we get perpendicular = 6, base = 8

Now using Pythagorean Theorem to find hypotenuse

hyp² = base² + Perp²

hyp² = 8² + 6²

hyp²= 64 + 36

hyp²=100

Taking sq root on both sides

hypotenuse = 10

Now

sin θ = Perpendicular / Hyp

sin x = 6 / 10

Now

cos θ = base / Hyp

cos x = 8 / 10

Which division expression is equivalent to 4 and one-third divided by Negative StartFraction 5 over 6 EndFraction? StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction) Negative StartFraction 5 over 6 EndFraction divided by StartFraction 13 over 3 EndFraction StartFraction 13 over 3 EndFraction divided by StartFraction 5 over 6 EndFraction Negative StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction)

Answers

Answer:

  [tex]\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}[/tex]

Step-by-step explanation:

The first step is to convert the mixed number to an improper fraction.

  [tex]\dfrac{4\frac{1}{3}}{\left(-\dfrac{5}{6}\right)}=\boxed{\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}}[/tex]

Answer:

it's a

Step-by-step explanation:it's what the guy above me said

Viktor borrowed money from his father to buy a bike. He will repay him by making 4 equal payments of over $40. Which inequality represents the amount of money, m, Viktor borrowed from his father? m less-than 44 m greater-than 44 m less-than 160 m greater-than 160

Answers

Answer:

D

Step-by-step explanation:

Edu

749÷7 using partial quotients

Answers

107........,...............

Answer:107

Step-by-step explanation:

749 ➗ 7=107

if you had a sale price of $40 and the percent of your discounts 25% what was the original price. ​

Answers

Answer:

$ 50

Step-by-step explanation:

Original price = Sale price + discount

= 40 + 25% of 40

= 40 + 0.25 * 40

= 40 + 10

Original price =  $50

What is the equation of the line passing through the points two (2,-1) and (5,-10) in slope intercept form

Answers

Answer:

y=-3x+b

Step-by-step explanation:

Find slope

-1-(-10)/2-5

9/-3

-3 is slope

y=-3x+b

substitute (2,-1)

-1=6+b

b=-7

y=-3x-7

the circumference of circle x in which a = 49pi in squared

Answers

Answer:

C = 14 pi inches

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

49 pi  = pi r^2

Divide each side by pi

49 pi/pi = pi /pi r^2

49 = r^2

Take the square root of each side

7 = r

The circumference is given by

C = 2 * pi *r

C = 2 * pi *7

C = 14 pi inches

Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=

Answers

Answer:

Step-by-step explanation:

amplitude of oscillation a = 12 / 2 = 6 inches.

time period T = 2 s

b = angular frequency = 2π / T

= 2π / 2

= π

so putting the values in the equation

d = a cos ( b t )

d = 6 cos ( π t )

Answer:

there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25

Step-by-step explanation:

Brainliest to whoever gets this CORRECT.

Answers

Answer:

yes

Step-by-step explanation:

yes

I can't figure out 1/2 (10) (9.4 + 3.6)
Please show work

Answers

Answer:

65

Step-by-step explanation:

multiply 1/2 and 10 to get 10/2

10/2(9.4+3.6)

divide 10 by 2 to get 5

add 9.4 and 3.6 to get 13

5 X 13

multiply to get 65

Plz help me find the area of this polygon

Answers

Answer:

It is 4

Step-by-step explanation: To find the area you multiply the numbers.

g(x) = 4x2 – 3x + 7
Find g(3)
Simplify your answer

Answers

Answer:

32

Step-by-step explanation:

g(x) = 4x² - 3x + 7

g(3) = 4(3)² - 3(3) + 7

g(3) = 4(9) - 9 + 7

g(3) = 36 - 9 + 7

g(3) = 25 + 7

g(3) = 32

Hannah is setting up chairs for the class play. The room has 20 chairs. What are the different ways she can arrange the chairs in a rectangle?

Answers

Answer:

Have them 4 by 5.

Step-by-step explanation:

If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.

For example, (The "o" is a chair)

OOOOO

O

O

O

As you see the the top are the 5 chairs, then side are are the 4 chairs.

Then, you will do the exact same thing  but on the opposite side.

Here is the next example.

OOOOOO

O            O

O            O

O            O

OOOOOO

Basically, arranging the chairs 4x5, it would make a rectangle.

A researcher conducts an independent-measures study examining the effectiveness of a group exercise program at an assisted living facility for elderly adults. One group of residents is selected to participate in the program, and a second group serves as a control. After 6 weeks, the researcher records a combined score measuring balance and strength for each individual. The data are as follows:

Control Exercise n = 10 n = 15 M = 12 M = 15.5 SS = 120.5 SS = 190.0
a. Does the exercise program have a significant effect? Use an alpha level of .05, two tails.

b. Compute Cohen�s d to measure the size of the treatment effect.

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

Someone please help me with math. Thank You

Answers

Answer:

4) 64 cubic inches

Step-by-step explanation:

8x8 = 64

The hypotenuse of a 30°-60°-90° triangle measures 10 inches. Which could be the length of a leg of the triangle?​

Answers

Answer:

6 and 8

Step-by-step explanation:

The hypotenuse of a 30°-60°-90° triangle measures 10 inches.

To find the length of one of the legs, we use the idea of Pythagorean Triples.

Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:

3, 4 and 55, 12 and 139, 40 and 41

Note that in a Pythagorean Triple,

The longest length is always the Hypotenuse.New Triples can be formed from product of existing triples.

In our given triangle, the Hypotenuse=10 Inches

Consider the Pythagorean Triple 3,4, and 5

5 is the HypotenuseMultiply the Triples by 2, we obtain:6, 8 and 10 (in which 10 is the hypotenuse)

Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.

Sara needs 3 cups of orange juice and 2 cups of pineapple for punch recipe. She only has a half cup measure. How many half cups of juice does she need?

Explain your thinking here:

write your answer here: ​

Answers

explanation : if two half cups is 1 cup . then you just multiply by 2 to get how many half cups of juice she would need .

Answer:

10

Step-by-step explanation:

3+2 = 5

5x2 (Because only half cups)

= 10

Two datasets arranged in descending order are; {8, , 4,1} and {9, , 5,2}. If the medians of the two given datasets are equal, what is the value of ( − )2?

Answers

We have been given that two datasets arranged in descending order are: [tex]\{8, x, 4,1\}[/tex] and [tex]\{9, y, 5,2\}[/tex]. We are asked to find the value of [tex](y-x)^2[/tex], if the medians of the two given datasets are equal.

First of all, we will arrange our given data sets in ascending order.

[tex]\{1,4,x,8\}[/tex] and [tex]\{2,5,y,9\}[/tex]

Since our data sets have 4 data points, so median will be average of middle two terms.

[tex]\frac{4+x}{2}[/tex] and [tex]\frac{5+y}{2}[/tex]

Now we will equate both median as we are told that median of both data sets are equal.

[tex]\frac{5+y}{2}=\frac{4+x}{2}[/tex]

Cross multiply:

[tex]2(5+y)=2(4+x)[/tex]

Divide both sides by 2:

[tex]\frac{2(5+y)}{2}=\frac{2(4+x)}{2}[/tex]

[tex]5+y=4+x[/tex]

[tex]5-5+y-x=4-5+x-x[/tex]

[tex]y-x=-1[/tex]

Let us square both sides of our equation.

[tex](y-x)^2=(-1)^2[/tex]

[tex](y-x)^2=1[/tex]

Therefore, the value of [tex](y-x)^2[/tex] would be 1.

Find the solution to the system of equations.



−2x+2y=−4
3x+3y=−18

Answers

Answer:

Step-by-step explanation:

-6x + 6y = -12

6x + 6y = -36

12y = -48

y = -4

3x - 12 = -18

3x = -6

x = -2

(-2, -4)

angle relationships with parallel lines

Answers

Answer: 136°

Step-by-step explanation:

In this angle relationship, it is a supplementary angles. because the parallel lines are separated by a line, the 2 angles make 180°.

180°=44°+x°

x=136°

If a pair of standard dice are rolled,
what is the probability that at least
one die shows a 5?
?

Answers

Answer:

The correct answer is 11/36

Step-by-step explanation:

The probability that at least one die shows a '5' is 11/36.

What is the probability of an event?

The probability of an event is the chance of happening that particular event.

Here, a pair of standard dice are rolled.

Therefore, the total number of combinations of two dice is = 6² = 36.

The case at which one die shows a '5' are: (1, 5); (2, 5); (3, 5); (4, 5); (5, 5); (6,5); (5, 1); (5, 2); (5, 3); (5, 4); (6, 5)

Therefore, the total number of cases at which one die shows a '5' is = 11.

Therefore, the required probability of the given event is

= 11/36

Learn more about the probability of an event here: https://brainly.com/question/9548010

#SPJ3

If 2 pounds of steak can serve 5 people how many pounds will serve 13 people

Answers

Step-by-step explanation:

wait sorry that was wrong

Answer:

5.2

Step-by-step explanation:

The answer is 5.2 pounds of meat. To find this just divide the number of people by what the information you have about servings. 13/5=2.6(number of sets), then you multiply that by how many pounds are in each set.

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