can the median of a set of numbers ever be the greatest number in the set of data? explain.

Answer: g + r = 17

2.5g + 3.5r = 52.5

Step-by-step explanation: Let g be the number of games Nolan played and r be the number of rides Nolan went on. We can write the following system of equations to represent the problem:

g + r = 17

2.5g + 3.5r = 52.5

We can solve this system of equations using elimination, substitution, or graphing.

Answer:

77.04

Step-by-step explanation:

A=3.14r^2

a=3.14(6)^2

A=3.14(36)

A=77.04

Answer: 113 ft^2

Step-by-step explanation:

The 16 miles out of 40 miles. Then the percentage will be 40%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The 16 miles out of 40 miles. Then the percentage is calculated as,

P = (16 / 40) x 100

P = 0.40 x 100

P = 40%

The 16 miles out of 40 miles. Then the percentage will be 40%.

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The missing part of the question is given below.

Determine the percentage.

Answer:

1679 songs

Step-by-step explanation:

         23

       x73

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

            69

    +   1610

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

         1679

Answer:

She needs to get at least 96 on the 4th test to earn an average of at least 90 in the class.

Step-by-step explanation:

(97+78+89+?) divided by 4 at\geq 90

It is divided by 4 because it is the average of 4 test scores.

To Solve: (97+78+89+?) divided by 4 at\geq 90

Multiply by 4 on both sides 97+78+89+? at\geq 360

Isolate variable: ? at\geq 96

Answer:

C/25 + H/40 = 15

Step-by-step explanation:

Let's call C the number of city miles, and H the number of highway miles.

The total gas used is therefore:

C/25 + H/40

The fuel tank holds 15 gallons, so:

C/25 + H/40 = 15

[tex]4^x=3 \\\\[-0.35em] ~\dotfill\\\\ 4^{2x-2}\implies 4^{2x}\cdot 4^{-2}\implies (4^x)^2\cdot \cfrac{1}{4^2}\implies \cfrac{(4^x)^2}{16}\implies \cfrac{(3)^2}{16}\implies \cfrac{9}{16}[/tex]

The number is 320 and 80 % of the number is 256

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the equation A is

65% of a number is 208 and 15% of the same number is 48

So , 65% of n = 208   be equation (1)

15% of n = 48   be equation (2)

Now , on simplifying the equations , we get

( 15 / 100 ) x n = 48

15n/100 = 48

Multiply both sides by 100 . we get

15n = 4800

Divide by 15 on both sides of the equation , we get

n = 320

The number n can also be determined by

( 65% - 15% ) of n = 208 - 58

50 % of n = 160

So , 100 % on n = 160 x 2

n = 320

Therefore , the number n is 320

Now , the 80 % of the number n is A = 80/100 x 320

A = 320 x 0.8

A = 256

Therefore , the value of A is 256

Hence , The number is 320 and 80 % of the number is 256

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The two-column method can be used to prove that the triangles ΔACD and ΔBCD are congruent is presented as follows;

Statements [tex]{}[/tex]                                         Reasons

1. AC ≅ BC   [tex]{}[/tex]                                        1 Given

2 D is the midpoint of AB [tex]{}[/tex]                  2 Given

3. CD ≅ CD [tex]{}[/tex]                                         3 Reflexive property → CD = CD

4 ∠ACD ≅ ∠BCD [tex]{}[/tex]                               4 Median line of an isosceles triangle bisects the vertex angle

5 ΔACD ≅ ΔBCD  [tex]{}[/tex]                              5. SAS congruency postulate

The two-column method consists of two columns, including a statement column and a reasons column, in which each statement made is provided with an accompanying reason.

The reasons in the prove for the congruency of the triangles, ΔACD and ΔBCD are as follows;

Reflexive property

The reflexive property of equality indicates that the value of a number or measure is equal to itself, therefore, the length of the segment CD is the same as the length of the segment CD.

Median of an isosceles triangle

In an isosceles triangle, two sides are congruent. The median segment drawn from the altitude of an isosceles triangle forms two congruent segment at the base, such that the two triangles formed by the median line are congruent, by Side-Side-Side, SSS congruency postulate, therefore, the angles formed at the vertex of the triangle by the median segment are also congruent

SAS congruency postulate

The Side-Angle-Side congruency postulate states that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of the other triangle.

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it doesn't have solution

Answer: give me brainliset

(

X

>

42

)

=

P

(

Z

>

−

1.1429

)

=

1

−

P

(

Z

<

1.1429

)

=

1

−

Φ

(

1.1429

)

=

1

−

0.8729

(from tables)

=

0.1271

Step-by-step explanation:

Answer: 21 meters cost $28.5

Step-by-step explanation:

divide 19 by 14 and multiply by 21

21 meters cost $28.5

Answer:

f(2) = 9

Step-by-step explanation:

to evaluate f(2) substitute x = 2 into f(x) , that is

f(2) = 4(2) + 1 = 8 + 1 = 9

The equation of the​ line, in​ slope-intercept form, containing the point ( 5,2. 2) and (9,2. 6) is  y=0.025x+2.375 where 0.025 is the value of slope and 2.375 is the y-intercept.

Take into account the slope-intercept form of the equation y = 6 x + 9 y=6x+9. The x and y intercepts are known. When x = 0, the y-intercept also happens, and when y equals 0, the x-intercept also happens. By setting the value of y to 0, we may find the x-intercept.

The values of the slope and y-intercept reveal details of the relationship between the two variables, x and y. The slope shows how quickly y changes for every unit change in x. When the x-value is 0, the y-intercept shows the y-value.

To calculate the equation of line containing points (5,2.5) and (9,2.6) we will use the formula y=mx+b

Here, m = (y2-y1)/(x2-x1)

So, m = (2.6-2.5)/(9-5)

m= 1/40

m=0.025

Now finding b by using formula y=mx+b using x= 5 and y= 2.5

2.5=(0.025)(5)+b

2.5=(0.125)+b

b=2.375

so equation of line is y=0.025x+2.375 in slope-intercept form.

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Answer:

X-intercept : (-2,0)

Y-intercept : (0,6)

Answer:y-intercept (0,6),x-intercept (-2,0)

Step-by-step explanation:

To find the y-intercept set x=0

-3(0)+y=6

y=6

y-intercept (0,6)

To find the X-intercept set y=0

-3x+0=6

-3x=6

x=-2

x-intercept (-2,0)

Answer:

d = 9°

Step-by-step explanation:

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

soln

27° + (8d – 9)° = 90°

27° + 8d – 9° = 90°

27°–9° + 8d = 90°

18° + 8d = 90°

8d = 90° – 18°

8d = 72°

divide both sides by (8)

d = 9°

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An equation of the line that passes through (7,10) and is perpendicular to the given line is y=5x-25.

Given that, the line that passes through (7,10) and is perpendicular to the line y=-1/5x-9.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Here, slope of a line y=-1/5x-9 is m=-1/5.

The slope of a line perpendicular to given line is m1=-1/m2

So, slope =5

Substitute m=5 and (x, y)=(7, 10) in y=mx+c, we get

10=5(7)+c

⇒c=-25

Substitute m=5 and c=-25 in y=mx+c, we get

y=5x-25

Hence, an equation of the line that passes through (7,10) and is perpendicular to the given line is y=5x-25.

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A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.

What is radioactive decay?

The release of energy in the form of ionizing radiation occurs during radioactive decay.

                       Ionizing radiation can harm DNA in genes and tissues because it can affect the atoms in living things.

We know that decay behaves exponentially and follows this model

   [tex]m(t) = m_{0} . e^{t/T} \\[/tex]

The time constant can be described in terms of half-life (t1/2), in minutes, through the following expression

     T =  t1/2 /In2

If we know that t1/2 = 8 min , m₀ = 170g and m(t) = 5g then the time needed for the decay is:

τ ≈ 11.541 min

   t = -τ .In m(t)/m₀

t ≈ 40.698 min

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.

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The equation of the line which is perpendicular to 5x - 4y = 16 is  [tex]y = -\frac{4}{5}x -4[/tex].

The study of geometry using coordinate points is known as coordinate geometry (also known as analytical geometry). Finding the distance between two points, breaking lines into m:n segments, locating a line's midpoint, computing a triangle's area in the Cartesian plane, and other operations are all feasible using coordinate geometry.

Not all crossing lines are parallel ones. If the intersecting lines satisfy the following conditions, they are said to be perpendicular lines. Following are the two primary characteristics of perpendicular lines:

Let's say that lines AB and CD are parallel to one another. Line AB has a slope of m1, whereas line CD has a slope of m2.

If and only if the product of the slopes of the two lines equals negative of unity, two lines are perpendicular to one another.

As a result, the following is the formula for the perpendicular's slope:

m1.m2 = -1

The equation of the line be "y = mx + c".

Equation of the line Perpendicular to the line is 5x - 4y = 16

Therefore,  4y = 5x - 16

⇒ [tex]y = \frac{5}{4}x -4[/tex]

Slope of the line Perpendicular to the required line is [tex]\frac{5}{4}[/tex].

Slope of the required ine be m .

Therefore, m * [tex]\frac{5}{4} = -1[/tex]

⇒ [tex]m = -\frac{4}{5}[/tex].

Equation of the line is ,

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

The line passes through (5,-8)

Therefore,

[tex]-8 = \frac{-4}{5}*5 + c[/tex]

⇒ c = -4

The equation of the line is [tex]y = -\frac{4}{5}x -4[/tex].

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Answer:

24

Step-by-step explanation:

6*4=24

Answer:

28.26

Step-by-step explanation:

A=3.14r^2

A=3.14(3)^2

A=3.14(9)

A=28.26

Answer: 28 cm

Step-by-step explanation: Area=π·r² and diameter =2r

So if we need to  find what our radius is. As shown by d=2r our radius is 1/2 our diameter. If our diameter is 6cm our radius is 3cm.

Now plug 3cm into A= 2πr²⇒ A= 2(3.14)(3²) = 28.26

Now round to the nearest whole number ⇒ 28.

Given that the drawer includes one pair of brown socks and one pair of white socks, the likelihood of selecting one sock, replacing it, and then selecting another sock is 1/16.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here,

n(s)=4

n(e)=1

Probability of choosing a sock, replacing it, and then choosing another sock,

=1/4*1/4

=1/16

Probability of choosing a sock, replacing it, and then choosing another sock will be 1/16 as the drawer contains one pair of brown socks and one pair of white socks.

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It will take 40 minutes for her to plant all 70 flowers that she has. By using proportions, we can find this value.

To calculate a word problem using proportions is as follows:

Consider the details of the word problem in proportions as

a : b = c : d

Here, a: b is the ratio of an event, and c : d is the ratio of another event.

Then, to find the value of c we need to reframe the above proportion into

c = ad/b

This is also said to be a cross formula in terms of word problems.

It is given that, Caroline is planting flowers in her garden.

She plants her first 7 flowers in 4 minutes.

After 12 minutes, she planted 21 different flowers.

Then, she takes x minutes for planting 70 flowers.

(Since the rate of planting is the same)

So, we can write

70 : 21 = x : 12

⇒ x = (70× 12)/21 = 40 minutes

Therefore, Caroline takes 40 minutes for planting all 70 flowers.

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Thus, the mass of the frog is 48.6π grams when it is in a hemispherical pod which just floats without sinking into sea water.

The force imposed on a body by a fluid, such as water or air, in which the body is submerged or immersed is known as buoyancy. This force is equivalent to the mass of the fluid that the body has displaced. In mathematics, buoyancy is defined as the sum of the fluid density, gravitational acceleration, and body volume. Archimedes' principle, which asserts that the buoyant force on an item is equal to the weight of the fluid it displaces, is a name for this connection. A key idea in the study of fluid mechanics, buoyancy has many uses, including the construction of boats, planes, and other floating structures.

How to solve?

V = 2/3 * π * r^3,

V = 2/3 * π * 6^3 = 2/3 * π * 216 = 36π.

F = V * d,

F = 36π * 1.35g/c * m^3 = 48.6π g.

F = m + W,

48.6π g = m + 0 g.

m = 48.6π g.

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Answer:

1.04, 1.4, 1.5 (one and a half), 10, 16

Answer:

1.04, 1.4, 1.5, 1.6

Step-by-step explanation:

1 1 half = 1.5

16 over 10 = 1.6

hope this helps!

well, let's just divide them anyway and check it out.

hmmm 6.1 ÷ 0.1, well, when dividing decimals, we can first check the decimals on each hmmm 6.1 has one decimal and 0.1 has one decimal, so for the one decimal on 6.1 0.1 gets one "0" and for each decimal on 0.1, 6.1 gets  one "0".

That means we can change the values with no dots to say 610 and 10, so we end up with a division of 610 ÷ 10 = 61.  We can write that as 61.0 hmmm woopsie, the dot moved to the right by one slot.

There are 22 different ways to organize the word mathematics because no two consecutive letters are the same.

Total number of ways to organize the word "mathematics".

The same letter does not appear twice.

The following word has the letters 2M, 2A, 2T, H, E, I, C, and S.

We will first organize H,E,I,C,S in five different ways;

−H−E−I−C−S−

No, we could arrange 2M, 2T, and 2A as we have 6 gaps;

= 6!/(2!.2!.2!)

So there are a total of;

= 5 x 6!/(2!.2!.2!)

= 22.5

= 22 ways

Thus, there are 22 different ways to organize the word mathematics because no two consecutive letters are the same.

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Using mathematical operations, we know that Kona needs a 276 trays to display all her 3308 muffins.

The process of calculating a value using operands and a math operator is known as a mathematical "operation."

The provided operands or integers must follow certain established rules that are associated with the math operator's symbol.

Addition, subtraction, multiplication, division, and modular forms are the five fundamental operations in mathematics.

So, a tray will be needed to display all the cakes:

The total number of muffins is 3308.

Each tray can have 12 muffins.

The total trays needed are:

3308/12

275.66

Rounding off: 276

Therefore, using mathematical operations, we know that Kona needs a 276 tray to display all her 3308 muffins.

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