A collection of 5 positive integers has mean 4.4, unique mode 3 and median 4. If an 8 is added to the collection, what is the new median. Express your answer as a decimal rounded to the nearest tenth.

Answer:

Yes, his expectation is reasonable

Step-by-step explanation:

Mathematically;

1 mile = 1.609344 km

If he runs this in 5 minutes;

his speed will be 1.609344/5 = 0.3219 km/m

Now he intends breaking the record of 5 kilometers in 15.25 minutes

Distance = speed * time

What we shall have in this case will be;

15.25 * 0.3219 = 4.908

Approximately this is 5 km

So we can conclude that he will break the record if he runs at this speed

Multiply 8 and z, and 8 and 8.

8z+64

---

hope it helps

Answer:

so im a little confused  3,5203,5203, is not a proper number and there is not enought yards to make a full mile could you reword it?

Step-by-step explanation:

When x increases by 1 in the function y=3^x, the value of the function will be multiplied by 3.

Given the function

y = 3^x

An increment in the value of x would make the expression be multiplied by 3

To see why this happens, we can compare the value of the function at x and x+1:

y(x+1) = 3^(x+1)

y(x+1) = 3^x * 3 (by the laws of exponents)

y(x+1) = 3 * 3^x

Therefore, we can see that when x increases by 1, the value of the function is multiplied by 3.

This means that the function grows very quickly as x increases.

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Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

Given

r= 2cost and theta = 9t

To Find

the velocity and acceleration vector

Solution

We can start by expressing the position vector r in terms of the Cartesian coordinates x and y:

x = r cos(theta) = 2cos(t)

y = r sin(theta) = 2sin(t)

To find the velocity vector, we can take the time derivative of the position vector:

v = (dx/dt) i + (dy/dt) j

where i and j are the unit vectors in the x and y directions, respectively.

Taking the derivatives:

dx/dt = -2sin(t)

dy/dt = 2cos(t)

Substituting these back into the velocity vector equation:

v = (-2sin(t)) i + (2cos(t)) j

To find the acceleration vector, we can take the time derivative of the velocity vector:

a = (d^2x/dt^2) i + (d^2y/dt^2) j

Taking the derivatives:

d^2x/dt^2 = -2cos(t)

d^2y/dt^2 = -2sin(t)

Substituting these back into the acceleration vector equation:

a = (-2cos(t)) i + (-2sin(t)) j

So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

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Step-by-step explanation:

Degree is 6

Leading coefficient is 5

Constant term is 8

Answer:

B

Step-by-step explanation:

∠ 2 and ∠ 3 are a linear pair and sum to 180°

∠ 2 + ∠ 3 = 180 , that is

9x + 7 + 5x + 5 = 180

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

Then

∠ 3 = 5x + 5 = 5(12) + 5 = 60 + 5 = 65°

∠ 3 and ∠ 1 are vertically opposite angles and are congruent , so

∠ 1 = 65°

To find the third quartile price, we need to arrange the data in ascending order. The third quartile represents the value below which 75% of the data falls.  The 85th percentile price is approximately 1135536.

Arranged data: 148216, 201866, 352428, 481312, 560473, 689607, 747147, 841952, 966673, 1077650, 1116189, 1264235, 1395465

Since there are 13 data points, the third quartile is located at the position (13 + 1) * (3/4) = 10th position.

The third quartile price is the value at the 10th position, which is 1077650.

Therefore, the third quartile price is 1077650.

Using a calculator or software, the standard deviation of the price is approximately 318,986.

Therefore, the standard deviation of the price is approximately 318,986.

To find the 85th percentile price, we need to arrange the data in ascending order. The 85th percentile represents the value below which 85% of the data falls.

Arranged data: 100021, 259112, 317692, 487684, 508883, 699112, 758500, 841302, 945586, 1047047, 1135536, 1235570, 1315132

Since there are 13 data points, the 85th percentile is located at the position (13 + 1) * (85/100) = 11th position.

The 85th percentile price is the value at the 11th position, which is 1135536.

Therefore, the 85th percentile price is 1135536.

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Answer:

x=9

Step-by-step explanation:

isolate the variable by dividing each side by factors that dont contain the variables.

can i get the crown?

Answer:

x = 9

Step-by-step explanation:

5x - (8x -17) = -10

Rewrite the equation and take away the brackets:

5x - 8x + 17 = -10

5x - 8x = -10 - 17

5x - 8x = -27

-3x = -27

x = -27 ÷ -3

x = 9

I hope this helps!

Answer:

Step-by-step explanation:

I have x coins and you have y coins.

According to question we set the following equations.

If you give me 70 coins I will have three times as much money as you:

If I give you 70 coins, then you will have five times as much as me:

Solve by substitution:

Find the value of x:

Answer:

v = a × t

Step-by-step explanation:

a = v/t

Isolate v. Move t.

a × t = v/t × t

Simplify.

a × t = v

(Switch if needed)

v = a × t

Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

the equation of the line tangent to the graph of f at (3, 5) is given by option b) y - 5 = 2(x - 3).

To find the equation of the line tangent to the graph of f at the point (3, 5), we need to determine the slope of the tangent line.

Since the graph of f' represents the derivative of f, the slope of the tangent line at any point on the graph of f will be equal to the value of f' at that point.

Looking at the graph, we can see that the slope of the tangent line at x = 3 is 2. Therefore, the equation of the tangent line can be written in point-slope form as:

y - 5 = 2(x - 3)

Simplifying this equation, we get:

y - 5 = 2x - 6

Finally, rearranging the equation, we have:

y = 2x - 1

Therefore, the equation of the line tangent to the graph of f at (3, 5) is given by option b) y - 5 = 2(x - 3).

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Answer:

A,C,B

is the answer

Answer:

$4, and $44

Step-by-step explanation:

10% of 40 = $4

40+4=$44

just mark 4 ,  44 on number line

Answer: $44.00

Step-by-step explanation: The dollar amount of the taxes are $4.00 and the total amount he paid was$44.00

Answer:

you can solve this problem with the help of this example :

A rectangular pool 20 meters wide and 60 meters long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 square meters, how wide, in meters, is the walkway?

Sol:

A rectangular pool has length l=60m & breadth b=20m.

It has a surrounding walkway of area =516m

2

.

Area (pool) =60×20=1200m

2

Let us take the width of the walkway =

2

X

.

∴ The length as well as the breadth of the area (pool+walkway) will be increased by X

So the length =l of the area (pool+walkway) =(60+X)m and the breadth =b=(20+X)m

∴ Area (pool+walkway) =l×b=[(60+X)×(20+X)]m

2

.

∴ Area (walkway) = Area (pool+walkway) - Area (pool)

=(60+X)×(20+X)−1200=516m

2

....(given)

⇒X

2

+80X−516=0

⇒X=−86 or X=6.

We reject the negative value as X is a length.

So X=6m.

Ans- The width of the walkway =

2

X

=3m.

Applying the exterior angle theorem, the value of s in the triangle is: 74.

In the image shown above, the angles, s - 44° and s° are interior opposite angles to the exterior angle of the triangle that is given as s + 30°.

Based on the exterior angle theorem, the sum of s - 44° and s° is equal to s + 30°.

Therefore:

s - 44 + s = s + 30 [exterior angle theorem]

Combine like terms

2s - 44 = s + 30

2s - 44 - s = s + 30 - s [subtraction property of equality]

s - 44 = 30

s - 44 + 44 = 30 + 44 [addition property of equality]

s = 74

Therefore, applying the exterior angle theorem, the value of s in the triangle is: 74.

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a. The composite scores for each location are as follows: Location A: 84.34, Location B: 81.05, Location C: 82.63 (b)  Based on the composite scores, Location A should be chosen for the clothing store.

To determine the composite score for each location, we need to calculate the weighted sum of the factor ratings.

a. The composite score for each location is calculated as follows:

Location A:

Composite score = (Convenience of access * Weight) + (Parking facility * Weight) + (Frontage * Weight) + (Shopper traffic * Weight) + (Operating cost * Weight) + (Neighbourhood * Weight)

Composite score = (0.10 * 92) + (0.15 * 91) + (0.19 * 96) + (0.31 * 79) + (0.10 * 70) + (0.15 * 69)

Composite score = 84.34

Location B:

Composite score = (0.10 * 70) + (0.15 * 73) + (0.19 * 89) + (0.31 * 95) + (0.10 * 95) + (0.15 * 81)

Composite score = 81.05

Location C:

Composite score = (0.10 * 72) + (0.15 * 75) + (0.19 * 74) + (0.31 * 80) + (0.10 * 92) + (0.15 * 96)

Composite score = 82.63

b. Based on the composite scores, we can see that Location A has the highest score of 84.34, followed by Location C with a score of 82.63, and Location B with a score of 81.05. Therefore, Location A should be chosen for the clothing store.

After calculating the composite scores for each location based on the factor ratings and weights, it is determined that Location A has the highest composite score and should be chosen for the clothing store.

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Answer:

true

Step-by-step explanation:

I 100% looked it up

Answer:

C

Step-by-step explanation:

hope it helps

Answer:

The answer is C

Step-by-step explanation:

I keep seeing people put c so i am pretty sure that right

Torsion refers to the twisting of a structural member due to the application of torque. Pure torsion occurs when a structural member is subjected to torsional loading only. It is analyzed using assumptions such as linear elasticity, circular cross-sections, and small deformations. The torsion equation relates the applied torque, the polar moment of inertia, and the twist angle of the member. However, this formula has limitations in cases of non-circular cross-sections, material non-linearity, and large deformations.

Torsion is the deformation that occurs in a structural member when torque is applied, causing it to twist. In pure torsion, the member experiences torsional loading without any other external forces or moments acting on it. This idealized scenario allows for simplified analysis and calculations. The assumptions made in pure torsion analysis include linear elasticity, which assumes the material behaves elastically, circular cross-sections, which simplifies the geometry, and small deformations, where the twist angle remains small enough for linear relationships to hold.

To analyze pure torsion, engineers use the torsion equation, also known as the Saint-Venant's torsion equation. This equation relates the applied torque (T), the polar moment of inertia (J), and the twist angle (θ) of the member. The torsion equation is given as T = G * J * (dθ/dr), where G is the shear modulus of elasticity, J is the polar moment of inertia of the cross-section, and (dθ/dr) represents the rate of twist along the length of the member.

However, the torsion equation has its limitations. It assumes circular cross-sections, which may not accurately represent the geometry of some structural members. Non-circular cross-sections require more complex calculations using numerical methods or specialized formulas. Additionally, the torsion equation assumes linear elasticity, disregarding material non-linearity, such as plastic deformation. It also assumes small deformations, neglecting cases where the twist angle becomes significant, requiring the consideration of non-linear relationships. Therefore, in practical applications involving non-circular cross-sections, material non-linearity, or large deformations, more advanced analysis techniques and formulas must be employed.

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Answer:

A

Step-by-step explanation:

The explicit, exponential, and recursive functions that define this geometric sequence include the following:

exponential     ⇒ \(f(n)=9(\frac{1}{3} )^n\)

explicit             ⇒ \(f(n)=9(\frac{1}{3} )^{n-1}\)

recursive         ⇒ \(f(1)=9\\f(n)=\frac{1}{3} f(n-1), for \;n\ge2\)

In Mathematics and Geometry, the nth term of a geometric sequence can be calculated by using this mathematical equation (formula):

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁

Common ratio, r = 3/9

Common ratio, r = 1/3

For the exponential function, we have:

\(f(n) = a_1(r)^n\\\\f(n)=9(\frac{1}{3} )^n\)

For the explicit function, we have:

aₙ = a₁rⁿ⁻¹

\(f(n)=9(\frac{1}{3} )^{n-1}\)

Now, we can write the recursive function as follows;

f(1) = 9

f(n) = ⅓f(n - 1), for n ≥ 2.

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Probability that selected chip is white: 1/2

Probability that the other chip in the bowl is red given if the selected chip is white: 1/3

Let A be the event that bowl A is randomly selected; let B be the event that bowl B is randomly selected; and let C be the event that bowl C is randomly selected. All these three bowls are equally likely to be selected:

P(A) = P(B) = P(C) = 1/3

The probability of selecting a white chip from a bowl depends on from which bowl the chip is selected.

Let W be the event that a white chip is randomly selected.

Attached is the picture solution.

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The values of the spaces in columns are x,a,b,c,y which is equal to 0.46, 0.43, 0.06, 0.11, 0.51 respectively

Remember that the probability of the certainty of an event is equal to 1

Lethe spaces be labelled according to the table:

                      right hand          left hand         total

7th grade          x                           0.05             y

8th grade          a                              b              0.49

Total                 0.89                          c               1.00

To find the value of y:

y + 0.49 = 1.00

Making y the subject of the relation

y = 1.00-0.49

y = 0.51

To find the value of x:

x + 0.05 = 0.51

Making x the subject of the formula

x = 0.51-0.05

x= 0.46

To find the value of a:

x+a = 0.89

0.46+a = 0.89

Making a the subject we have

a = 0.89-0.46

a = 0.43

To find the value of b:

0.43+b = 0.49

Making b the subject of the relation

b= 0.49-0.43

b= 0.06

To find the value of c:

0.89+c = 1.00

Collecting like terms

c = 1.00-0.89

c= 0.11

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i think it is a function.

Answer:

Function

Step-by-step explanation:

if I'm wrong beat me up

Answer:

the first error she made was that she used the wrong numbers to multiply by

Step-by-step explanation:

Answer:

Error: she replaced 36 with the unequaled value of 3+12.

Step-by-step explanation:

The first error made is 36 cannot be substituted with 3+12 because 36 doesn't equal 3+12. She might have been thinking 3(12)=36. She could have done 10+10+10+5+1 for 36 and did the following:

27(10+10+10+5+1)

270+270+270+135+27

(270+270)+(270+135)+27

(540)+(405)+27

972

Answer:

13 units

Step-by-step explanation:
V = B • h

504.4 = 38.8 h

504.4 / 38.8 ( divide to isolate the variable)

Height = 13 units

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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