Here are some integers where a a
b
C
d
d
d
The mode of the integers is 9
The median of the integers is 8
The range of the integers is 4
Work out the value of a, the value of b, the value of c and the value of d

Answers

Answer 1

We know that the mode of the integers is 9, which means that 9 occurs more frequently than any other number in the set of integers.

How to explain the medi

We also know that the median of the integers is 8, which means that when the integers are arranged in order from smallest to largest, the middle number is 8.

Finally, we know that the range of the integers is 4, which means that the difference between the largest and smallest integers in the set is 4.

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Related Questions

Please answer these I’m so confused

Answers

The solution set of the inequality 2.5x ≥ 20 is x ≥ 8 and as such, Sebastian is incorrect based on his graph.

The graph of the solution set of -48 < -8t is shown below.

What is a number line?

In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

Next, we would determine the solution to the given inequality as follows;

2.5x ≥ 20

x ≥ 20/2.5

x ≥ 8 (Sebastian was wrong)

-48 < -8t

-48/-8 < -8t/-8

6 < t

t > 8

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A formula for the area, A, of the circular pool is given by the equation A=\pi\left(r-3\right)^2.

Which is a formula for r?

Answers

The formula for the variable r is r = √A/π

What is subject of formula?

The subject of formula can be defined as the variable that is allowed to alone in an equation.

The variables is made to be written on one end of the equality sign.

It is also described as the variable that is worked out in an equation.

From the information given, we have that;

the formula for the area of the circular pool is;

A = πr²

Such that;

A is the area of the circler is the radius

We then have;

r = √A/π

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What would be the length of each rope is all the ropes had the same length 

Answers

The length of each rope if all the ropes had the same length is 3 ft

What would be the length of each rope

From the question, we have the following parameters that can be used in our computation:

The dot plot

From the dot plot, we can see that the data are normally distributed

This means that the length of each rope is the mean, the median and the mode

Given that the data on the dot plot is normally distributed, we have the following values

mean = 3median = 3mode = 3

So, we can conclude that the length is 3 ft

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Use substitution!!!

Pt. a
truck a costs $20,345. You can expect to pay an average of $1230 per year for repairs. truck b costs about 16,000. It will cost an average of $1425 for repairs per year. After how many years are the total costs for cars the same?
(I can solve it, can you just turn the words into an equation for me?)

Pt. B
You have 56 coins that are all nickles and dimes. The value of the coins is $2.05. Find the number of nickels and dimes.
(Can you also just make an equation out of this for me?)

Answers

The system of equations are t = 22.28 years , number of nickles and dimes are solved

Given data ,

a)

Let the number of years be represented as t

For truck A, the total cost (including the initial cost and average yearly repair cost) after "t" years can be represented as:

Total cost for truck A = 20345 + 1230t

For truck B, the total cost (including the initial cost and average yearly repair cost) after "t" years can be represented as:

Total cost for truck B = 16000 + 1425t

when the total costs are equal , we get

20345 + 1230t = 16000 + 1425t

On simplifying , we get

195t = 4,345

t = 22.28 years

b)

Let the number of nickels be n and number of dimes be d

The total value of nickels is 0.05n (since the value of one nickel is $0.05) and the total value of dimes is 0.10d (since the value of one dime is $0.10)

The total value of the coins = $ 2.05

And , the total number of coins = 56

0.05n + 0.10d = 2.05

And , n + d = 56

Hence , the system of equations are solved

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I need to know the slop and how to do it pls!!!

Answers

Answer:

The slope is [tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

the slope is the number before the x.

Helping in the name of Jesus.

The temperature on Tuesday was -5 Celsius the temperature in Wednesday was 5 Celsius

Answers

The temperature of Srinagar on Wednesday was -3°C.

If the temperature was -5°C on Monday and dropped by 2°C on Tuesday, we can subtract 2 from -5 to get:

-5°C - 2°C = -7°C

So the temperature of Srinagar on Tuesday was -7°C.

If the temperature on Wednesday rose by 4°C from the temperature on Tuesday, we can add 4 to -7°C to get:

-7°C + 4°C = -3°C

So the temperature of Srinagar on Wednesday was -3°C.

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The complete question:

At Srinagar temperature was -5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?

BJ won the lottery and decided to invest some of his money in an account
that will be compounding continuously. The account he chose earned
5.2%. He invested $27,000. How much money will he have after 18 years,
when his newborn will graduate from high school?

Answers

Answer:

$68,796.57

Step-by-step explanation:

approx $68,796.57 at 18 years

A city official would like to know if there is public support for increasing funding for arts programs. To collect data, the city official stands outside a concert hall after a show and surveys every 25th person to exit and asks their opinion about raising funds for the arts. Which of the following describes the population in this scenario?

A. all residents of the city
B. the members of the city council
C. all city residents who support the arts
D. the people surveyed by the city official

Answers

All city residents who support the arts. Therefore, the option C is the correct answer.

As the city official would lie to know that if public support for increased funding of arts programs. By collecting data the officials show the survey after every 25 persons and ask for their opinion.

They also tend to raise a fund that states the population in the scenario of a city resident that supports the arts.

The population in this scenario is the people surveyed by the city official. The city official is conducting a survey outside a concert hall after a show, which means they are targeting people who have just attended a show. Since the city official is asking every 25th person to exit their opinion about raising funds for the arts, these are the people who are included in the population being surveyed.

Therefore, the option C is the correct answer.

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The volume of this rectangular prism is 199.68 cubic yards. What is the value of z?

Answers

Answer:

z=199.68

Step-by-step explanation:

A pyramid has a square base with an area of 144 ft. Mark each statement as true or false and correct any false statements.

T/F? - The length of one side of the pyramids base can be found using the equation s^2=144.

T/F? - The Length of one side of the pyramids base is 72 feet.

Answers

A = s^2, where A is the area and s is the length of one side of the square gives the area of a square base. The correct option is true

If s^2 = 144, then s = √144 = 12 feet. The correct option is false

What is pyramid ?

A pyramid is a polyhedron that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex.

Therefore, s^2 = 144 is a valid equation to find the length of one side of the base. The correct option is true

Therefore, one side of the pyramid's base is 12 feet, not 72 feet.

The correct option is false

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The position (in meters) of a particle per respect to time (in seconds) is defined by the
following functions (t)=t4-16t³+72t² +5. Find the maximal and minimal value for
the speed of the particle for t E [1, 7].

Answers

The maximum of 1,159 m/s occurs when t = 7, and the minimum of 16 m/s occurs when t = 6.

How to calculate the value

It should be noted that upon deriving v(t), an equation of 12t² - 96t + 144 is produced. Subsequently, v'(t) must be set to zero, resulting in a quadratic equation of 12t² - 96t + 144 = 0, requiring division of both sides by 12 to produce t² - 8t + 12 = 0.

The quadratic can now be factored to obtain (t - 2)(t - 6) = 0, indicating that critical points lie on the values t = 2 and t = 6.

After calculating these values— v(1) = 100 m/s, v(2) = 64 m/s, v(6) = 16 m/s and v(7) = 1159 m/s—it is clear that the maximum of 1,159 m/s occurs when t = 7, and the minimum of 16 m/s occurs when t = 6.

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What is the volume? round to the nearest thousandth

Answers

The volume of the pyramid is determined as 433.33 mm³.

What is the volume of the right square pyramid?

The volume of the right square pyramid is calculated by applying the following formula.

V = ¹/₃a²h

where;

a is the base of the pyramidh is the height of the pyramid

The volume of the pyramid is calculated as follows;

V = ¹/₃ (10 mm)² x ( 13 mm )

V = 433.33 mm³

Thus, the volume of the pyramid is calculated from the formula stated.

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h(1) = 23 meters and h(a) = 34.25 meters.

Answers

The average rate of change of the height of the rocket is 11.25/(a - 1)

Estimating the average rate of change of the height of the rocket

From the question, we have the following parameters that can be used in our computation:

h(1) = 23 meters and h(a) = 34.25 meters.

The average rate of change of the height of the rocket is

Rate = Change in height /Time

So, we have

Rate = (34.25 - 23)/(a - 1)

Evaluate

Rate = 11.25/(a - 1)

Hence, the rate = 11.25/(a - 1)

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Complete question

Melissa launches a rocket from a 3-meter-tall platform. The height, h, of the rocket, in meters, can be modeled by the given graph.

Melissa knows that h(1) = 23 meters and h(a) = 34.25 meters.

What is a reasonable estimate of the average rate of change of the height of the rocket, in meters per second

The city council voted on a new tax. The council has 60 members and 70% of the council members voted in favor of the new tax. How many members voted in favor of the tax?

Answers

take 10% of 60(which is 6) then multiply it by 7, 6x7 = 42

given the expression (2^-3)(2^5)/2^7), select the three equivalent numerical expressions

Answers

The  three equivalent numerical expressions are; Options M, R and S

How to determine the expressions

To determine the expressions, we need to take note that index forms are described as forms that are used for the representation of numbers or variables that are too large or small to be written.

Some rules of index forms are;

Subtract the exponents when the same bases are dividedAdd the exponents when the same bases are multiplied

From the information given, we have that;

(2^-3)(2^5)/2^7)

add the exponents of the numerator

2⁻³⁺⁵/2⁷

Add the values

2²/2⁷

Subtract the exponents

2⁻⁵

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find the misding values in the ratio table then write the equivalent ratios forks 16 8 spoons 10, 30​

Answers

The missing number in the ratios of numbers are 16:10     8:20 and 0:30

How to determine the missing numbers?

Ratios are quantitative relationships between two numbers that describe how many times one value can contain another

the given parameters are

Forks         16          8              ----

Spoons       10         ---            30

The numbers are written in ascending order of magnitude

Using AP,

for forks: a = 16, 2nd term = 8

common difference = 8-16 - -8

For spoons a = 10, 3rd term = a + 2d = 30

30 = 10 + 2d

30 -10 = 2d

d= 20/2 = 10

Therefore the 2nd term = 10+10=20

The table reappears as follows

Forks         16          8             0

Spoons       10        20          30

Therefore the equivalent ratios are 16:10     8:20 and 0:30

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Brent starts with 16 identical white socks in his sock drawer. Imagine he receives 2 identical black socks as a gift and mixes them in with his 16 white socks. If he draws one sock without looking to put on his left foot, then draws a second sock without looking to put on his right foot, what is the probability that he draws mismatched socks?

Answers

Answer: Its high

Step-by-step explanation: It just is

The probability that Brent draws mismatched socks is 32/153.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Since Brent is drawing two socks without replacement, there are 18 choices for the first sock and 17 choices for the second sock.

Therefore, there are 18 x 17 = 306 possible ways Brent could draw two socks.

For Brent to have mismatched socks, he needs to draw a white sock first and a black sock second, or a black sock first and a white sock second.

Let's consider the first case.

There are 16 white socks and 2 black socks, so there are 16 x 2 = 32 ways Brent could draw a white sock first and a black sock second.

For the second case, there are 2 black socks and 16 white socks, so there are 2 x 16 = 32 ways Brent could draw a black sock first and a white sock second.

Therefore, the probability of Brent drawing mismatched socks is:

= (32 + 32) / 306

= 64 / 306

= 32 / 153

Thus, the probability that Brent draws mismatched socks is 32/153.

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Find the volume of this sphere.
Use 3 for TT.
V≈ [?]cm³
V = πr³
6 cm

Answers

The volume of the sphere with a diameter of 6cm is 108 cm³.

What is the volume of the sphere?

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

Where r is the radius of the sphere and π is the mathematical constant pi

Given the data in the question:

Diameter d = 6cm

Radius is half of diameter

Radius r - 6cm/2

Radius r = 3cm

Also, π = 3

Plug the given values into the above formula.

Volume =  (4/3)πr³

Volume =  (4/3)π3³

Volume =  (4/3)(3)(27)

Volume =  108 cm³

Therefore, the volume is 108 cm³.

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determine the volume of the oblique cylinder below. leave your answer in terms of pi and round to the hundredths place if needed.

Answers

The volume of the oblique cylinder can be calculated as:

833π cm³

How to Find the Volume of an Oblique Cylinder?

The formula that would be used to find the volume of any given oblique cylinder can be expressed as:

Volume = πr²h, where:

radius of the cylinder = r

height of the cylinder = h

π is a constant

We are given the values for the cylinder as:

r = 14/2 = 7 cm

h = 17 cm

Volume of the oblique cylinder =  πr²h =  π × 7² ×  17

Volume of the oblique cylinder = 833π cm³

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what are two numbers have a product of 20 and a sum of 9

Answers

Answer:

Step-by-step explanation:

a = 19.5 cm, b = 12.5 cm and c = 5.5 cm for the triangle shown below.
X
X =
- C
Work out the value of a rounded to 1 DP.
The diagram is not drawn to scale.
cm
a
- b----

Answers

The value of x rounded to 1 decimal place is 15.9 cm.

What is Pythagorean theorem?

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

How to determine the value of x?

First of all, we would determine length of sides or side lengths of the opposite side of the ight-angled triangle as follows;

12.5² + y² = 19.5²

156.25 + y² = 380.25

y² = 224 cm.

y = √224 cm

Now, we can determine value of x;

x² = (√224)² + (5.5)²

x² = 224 + 30.25

x = 15.9 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

M<2
Answers please the ask is in the picture

Answers

I did and got that once answer

Graham has 1/3 of 3/4 dollar, and Frank has 3/5 of 1/2 dollar. Who has more money

Answers

Here cuz:

Frank got more cuz you see Graham has 1/3  and 3/4 and frank got 3/5 and 1/2 so he got more.

Hope This Helps Cuz!

A radioactive element has a half-life of 18 years. We start with 40mg. Assuming the decay is occurring continuously, the appropriate model is...

Identity P0.
Solve for k.
What amount of the element remains after 10 years?
When with 10mg be remaining?

Answers

1) The decay constant is  0.0385

2) The amount after ten years is  27.2 mg

3) The time taken for 10 mg to remain is  36 years.

What is the half life of a radioactive isotope?

We know that;

P = Poe^-kt

Given that the half life is 18 years;

20=40e^-18k

20/40=e^-18k

0.5 =e^-18k

ln0.5 = -18k

k = -0.693/-18k

k = 0.0385

After 10 years we have;

P = 40e^-10(0.0385)

P = 27.2 mg

10 mg will remain when;

10 = 40e^-0.0385t

10/40 =e^-0.0385t

0.25 = e^-0.0385t

ln0.25 = -0.0385t

t = -1.386/-0.0385

t = 36 years

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Ten upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 9. The smallest domino, #0, is 3.00 inches tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 15% taller than the one before. What is the height of domino #9?

Answers

Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

Rotations : If the point (6,2) was on a figure that was rotated 180 degrees clockwise what would be the coordinates of the new point on this figure

Answers

The coordinates of the new point  is (-6, -2)

What would be the coordinates of the new point

From the question, we have the following parameters that can be used in our computation:

Point = (6, 2)

Rule: 180 degrees rotation

The rule of 180 degrees rotation is

(x, y) = (-x -y)

Substitute the known values in the above equation, so, we have the following representation

image = (-6, -2)

Hence, the image is (-6, -2)

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I need help with this please

Answers

Answer: C

Step-by-step explanation:

Right angles (or 90 degree angles) are indicated by little squares in the corners of the figures that have them.

Help its urgent i need to get these done

Answers

The planes that are parallel in the cube shown would be C. NOR and LMP.

What are parallel planes ?

Two planes that are located on a cube and are always opposite and never intersect; they remain continuously at the same distance from each other. A cube consists of three pairs of parallel planes in correspondence with its triplet of opposing faces.

From the given options, the only parallel planes would be NOR and LMP. One of the reasons for this, is that these planes have no point of intersection unlike the planes in the other options.

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Use the binomial theorem to find specified term of the given power of binomial ( remember that r starts at 0 in the binomial theorem so finding say the second term means that r=1)

Answers

The fourth term in the expanded form of (x - 1)⁶ is  -20x³.

What is the fourth term in the expanded form of (x - 1)⁶?

The fourth term in the expanded form of (x - 1)⁶  using the binomial theorem is calculated as follows;

The expanded form of (x - 1)⁶ using the binomial theorem is;

(x - 1)⁶ = 1x⁶ + (-6)x⁵ + 15x⁴ + (-20)x³ + 15x² + (-6)x + 1

(x - 1)⁶ = x⁶ -6x⁵ + 15x⁴ -20x³ + 15x² -6x + 1

To find the fourth term, we look for the fourth term from the left side to right side, which is  -20x³.

Therefore, the fourth term in the expanded form of (x - 1)⁶ is  -20x³.

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MODELING REAL LIFE A hemisphere-shaped mole has a diameter of 5.7 millimeters and a surface area of about
51 square millimeters. The radius of the mole doubles. Estimate the new surface area of the mole. Round your
answer to the nearest whole number.
The new surface area is square millimeters.

Answers

The new surface area of the hemisphere-shaped mole would be = 102mm².

How to calculate the new surface area for the hemisphere-shaped mole?

A hemisphere-shaped mole has a shape that has one surface that is curved and the other surface a flat circular base.

Since the surface area of one hemisphere has been given, the second hemisphere can be determined.

To calculate the new surface area of the hemisphere-shaped moles the following is carried out;

Radius of the initial mole = 5.7/2 = 2.85 mm

If 2.85mm radius = 51 mm²

2(2.85mm) radius = x

Make X the subject of formula;

X = 2×2.85 × 51/2.85

= 102 mm²

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