How to work out the mean

Answer:

addition

Step-by-step explanation:

as x=23+5

x=28.

I think so this is the ans.

Answer:

Kara should plot points where the arcs intersect above and below the line segment.

Step-by-step explanation:

The bisection of a line segment is the dividing of the line segment into two equal parts. To bisect a line segment, you have place your compass on the endpoints and measure a distance greater than half of the segment. The point of intersection of the arcs both above and below the segment is then joined thereby bisecting the line.

Since Kara has already drawn the two arcs which are greater that half of the length, all Kara needs to do is plot points where the arcs intersect above and below the line segment.

Answer:

24 mph for both 60 miles and 40 miles.

Step-by-step explanation:

We need to find how long it takes to get to college and from it.

Speed x time (x) = Distance (60)

30x = 60

x=2

It takes two hours to get to college

20x = 60

x = 3

It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average

30+30+20+20+20=120

120/5= 24

The average speed for the round trip is 24.

To do the second part, we follow the same process, but replace 60 with 40 for distance.

30x=40

x= 1.33

20x=40

x=2

We can add the total distance and divide by total time to find the average.

The total distance is 80. Time is 3.33

80/3.33=24

The average speed is still 24.

Answer:

equation is y-11 =4

so the number is 15. thats all

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

10 cm

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other.

All sides are congruent.

The diagonals divide the rhombus into 4 congruent right triangles.

Applying Pythagoras' identity to 1 of the triangles with legs 6 and 8 and hypotenuse the side s of the rhombus, then

s² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

s = [tex]\sqrt{100}[/tex] = 10

Answer: No, because the sample was not random.

Step-by-step explanation:

For the results to have been valid, the sample would have had to be random meaning that only some of the people were chosen to participate at random.

Instead, EVERY woman customer was asked which means they were not chosen at random as they should have been. Also, they only surveyed women when they should have taken a proper sample consisting of all customers.

Answer:

No, because the sample was not random.

Step-by-step explanation:

Answer:

Each side of the square in centimetres = 10.80 centimetres

Step-by-step explanation:

To convert from one unit to another or in between units we make use of conversion factors or conversion formulas

The conversion factor for the conversion of units in centimetres to units in inches is given as about 2.54 centimetres being equivalent to 1 inch

Therefore;

1 inch = 2.54 centimetres

4.25 inches = 2.54 × 4.25 = 10.795 ≈ 10.80 centimetres

Therefore, each side of the square in centimetres = 10.80 centimetres.

Answer:

see explanation

Step-by-step explanation:

To obtain a term in the sequence add the previous 2 terms, that is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + [tex]a_{n-2}[/tex] ← in general terms

(a)

Given 1  4  5  9 14

Then the next 2 terms are 9 + 14 = 23 and 23 + 14 = 37

(b)

Given a₄ = 30 and a₅ = 49 , then

a₃ = 49 - 30 = 19

a₂ = 30 - 19 = 11

a₁ = 19 - 11 = 8

Sequence is 8  11  19  30  49 ....

(c)

Given a₂ = x and a₃ = y , then

a₁ = y - x

a₄ = a₃ + a₂ = y + x

a₅ = a₄ + a₃ = y + x + y = 2y + x

Answer:

it either can be 3:6 or 6:3 but I think its 3:6

Answer:

1 : 3.

Step-by-step explanation:

The total number of shapes is 3 + 6 = 9.

So triangles : total shapes = 13 : 9

= 1 : 3.

Answer:

a) (4,-1)

b) (4,1)

c). (6,4)

Answer:

Price of copy = $5

Step-by-step explanation:

Situation:

Tommy purchases five copies and five pencils. He gives $130 to the shopkeeper.

If the price of a pencil is $13, find the price of a copy.

Assume

Number of copy = 5

Number of pencil = 5

Price of copy = x

Price of Pencil = $13

So,

5(x) + (5)(13) = 130

6(x) + 65 = 130

x = 5

So,

Price of copy = $5

Answer:

-15

Step-by-step explanation:

given 3x+4y

when x = 3 and y = -6

3x+4y

= 3(3)+4(-6)

= 9 - 24

= -15

Answer:

Step-by-step explanation:

3x + 4y

When

x = 3

y = - 6

Substitute these values into the above expression and solve

We have

[tex]3(3) + 4( - 6) \\ = 9 - 24[/tex]

We have the final answer as

Hope this helps you

Answer:

D. 50

Step-by-step explanation:

a = 90° (angle subtended in semicircle)

a + c + 40° = 180° (by angle sum postulate of a triangle)

90° + c + 40° = 180°

c + 130° = 180°

c = 180° - 130°

c = 50°

The measure of angle c will be 50 degrees. so option D is correct.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Consider an arc of a circle.

Suppose it subtends θ angle on the rest of the part of the circumference (at any point). Then it subtends 2θ angle on the center of that circle.

a = 90° (angle subtended in semicircle)

a + c + 40° = 180° (by angle sum postulate of a triangle)

90° + c + 40° = 180°

c + 130° = 180°

c = 180° - 130°

c = 50°

Therefore, the measure of angle c will be 50 degrees. so option D is correct.

Learn more about the triangles;

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Answer:

Hey there!

The slope of f(x) is less than the slope of g(x).

For g(x) the slope is -5 and for f(x) it is -2.

Let me know if this helps :)

Answer:

_ is equal to 28

Step-by-step explanation:

numerator is multiplied by 4, therefore, due to the equal sign, the denominator must also by multiplied by 4

hope you understand...............................................................................

Answer:

-100 F

Step-by-step explanation:

Answer:

Okay, so the picture is a different question than the text.

The answer to the picture is:

67

The answer to the text is:

79

Step-by-step explanation:

I'll explain the picture one.

The line PQR can be represented as [tex]PQ + QR=PR[/tex]. Since we already know the measure of QR and PR, we can substitute inside the equation to try and find PQ.

[tex]PQ + 21 = 88[/tex]

Our goal is to isolate PQ on one side.

To do this we can subtract 21 from both sides.

[tex]PQ + 21 - 21 = 88-21\\\\PQ=67[/tex]

Hope this helped!

Answer:

PQ = 79

Step-by-step explanation:

PQ + QR = PR

PR - QR = PQ

95 - 16 = 79

Answer:

6π

Step-by-step explanation:

Hope this helps!

A circle is a curve sketched out by a point moving in a plane. The arc length of the semicircle is 18.85 units or 6π units.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The length of the arc on any semicircle is half the length of the circumference of the circle with the same radius.

Given the length of the diameter of the semicircle is 12 units. Therefore, the circumference of the circle with a diameter of 12 units is,

Circumference = π × Diameter

                         = π × 12 units

                         = 12π units

Now, the arc length of the semicircle is,

Length of the semicircle = Circumference /2

                                       = 12π /2 units

                                       = 6π units

                                       = 18.85 units

Hence, the arc length of the semicircle is 18.85 units or 6π units.

Learn more about Circle here:

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Answer:

1) The height of the ball from 0 to 5  seconds are;

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2)  The correct option is;

D. -16·t² + 25·t + 1

Step-by-step explanation:

1) The equation of motion of the ball is given as follows;

H(t) = -4.9·t² + 25·t + 2

The height of the ball from 0 to 5 seconds are;

H(0) = -4.9×(0)² + 25×(0) + 2 = 2

H(1) = -4.9×(1)² + 25×(1) + 2 = 22.1

H(2) = -4.9×(2)² + 25×(2) + 2 = 32.4

H(3) = -4.9×(3)² + 25×(3) + 2 = 32.9

H(4) = -4.9×(4)² + 25×(4) + 2 = 23.6

H(5) = -4.9×(5)² + 25×(5) + 2 = 4.5

Therefore, we have;

The height of the ball are

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2) Given that the equation of the ball is that of a projectile motion, such as follows;

h = h₀ + v₀·sin(θ₀)·t - 1/2·g·t² which is equivalent to h = -1/2·g·t²+ h₀+v₀·sin(θ₀)·t

it is best represented by the quadratic equation of an upside down parabola which is option D. -16·t² + 25·t + 1

Answer:

A

Step-by-step explanation:

We know that the sum of interior angles in a triangle is 180°. Looking at ΔWYZ, we can write:

? + 75 + 75 = 180

? + 150 = 180

? = 30°

The three inside angles of a triangle need to equal 180 degrees.

You are given the bottom two angles.

75 + 75 = 150

WYZ = 180 - 150 = 30

The answer is 30 degrees.

Assuming a is constant and you want the derivatives with respect to t, we have by the chain rule

[tex](a\cos^3t)'=3a\cos^2t(\cos t)'=-3a\cos^2t\sin t[/tex]

[tex](a\sin^3t)'=3a\sin^2t(\sin t)'=3a\sin^2t\cos t[/tex]

Then for the second derivatives, we use the chain and product rules together:

[tex](a\cos^3t)''=(-3a\cos^2t\sin t)'=-6a\cos t\sin t(\cos t)'-3a\cos^3t[/tex]

[tex](a\cos^3t)''=3a\cos t(2\sin^2t-\cos^2t)[/tex]

[tex](a\sin^3t)''=(3a\sin^2t\cos t)'=6a\sin t\cos t(\sin t)'-3a\sin^3t[/tex]

[tex](a\sin^3t)''=3a\sin t(2\cos^2t-\sin^2t)[/tex]

Answer:

10 (3 x - 1)

Step-by-step explanation:

Answer:

B. 86

Step-by-step explanation:

Arc degrees corresponds with their angle degree.

Step 1: Find m∠Z using Definition of Supplementary Angles

m∠Z = 180° - 94°

m∠Z = 86°

Step 2: Find measure of arc degree z

m∠Z = 86°

Arc degree = angle degree

Arc Z = 86°

The answer is "Option B" its calculation can be defined as follows:

An arc of a circle would be any section of the circle's circumference.

Remember that the area of a circle equals the distance from around the circle.

Finding the measure of arc degree z

As a result, you can say that the circumference of a circle is indeed the circle's complete arc.

Angle degrees and arc degrees are connected.

Find [tex]m\angle Z[/tex] by applying the Definition of Supplementary Angles:

         [tex]m\angle Z = 180^{\circ} - 94^{\circ}\\\\m \angle Z = 86^{\circ}\\\\[/tex]

           [tex]m\angle Z = 86^{\circ}\\\\[/tex]

            [tex]\therefore\\\\[/tex]

       Arc degree = angle degree

         [tex]Arc\ Z = 86^{\circ}[/tex]

Therefore, the "Option B" is the correct answer.

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Answer:

  ∠ABC = 34°

  ∠DBC = 44°

Step-by-step explanation:

The angle sum theorem tells you ...

  (5x+4) +(5x-6) = 78

  10x = 80 . . . . . . . . . . add 2 and simplify

  x = 8

Then the two angles are ...

 ∠ABC = 5(8) -6 = 34°

  ∠DBC = 5(8) +4 = 44°

Answer:

A. 8 and 9

Step-by-step explanation:

Between which two consecutive whole numbers does √ 78 lie?

a.

8 and 9

b.

6 and 7

c.

9 and 10

d.

7 and 8

A. 8 and 9

8^2 = 8 × 8 = 64

9^2 = 9 × 9 = 81

B. 6 and 7

6^2 = 6 × 6 = 36

7^2 = 7 × 7 = 49

C. 9 and 12

9^2 = 9 × 9 = 81

12^2 = 12 × 12 = 144

D. 7 and 8

7^2 = 7 × 7 = 49

8^2 = 8 × 8 = 64

The correct answer is A. 8 and 9

Step-by-step explanation:

Indian States

Answer:

None of the options are true.

Step-by-step explanation:

We are given with the following parts;

A. 100 x 1,000 = 107

B. 10 x 1,000 = 105

C. 0.01 x 103 = 100

D. 0.001 x 105 = 100

The first statement that 100 x 1,000 = 107  is false because the multiplication of the numbers 100 and 1,000 gives the result of 100,000 but in question; it is written as 107, So, this is false.

The second statement that 10 x 1,000 = 105  is false because the multiplication of the numbers 10 and 1,000 gives the result of 10,000 but in question; it is written as 105, So, this is false.

The third statement that 0.01 x 103 = 100  is false because the multiplication of the numbers 0.01 and 103 gives the result of 1.03 but in question; it is written as 100, So, this is false.

The fourth statement that 0.001 x 105 = 100  is false because the multiplication of the numbers 0.001 and 105 gives the result of 0.105 but in question; it is written as 100, So, this is false.

Hence, all the statements are false.

Answer:

Nancy spent $19 on each book. Hope I helped you.

Answer:

suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief.

Step-by-step explanation:

Answer:

Postulate means a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.  It means that something may be true.

Step-by-step explanation:

Can't really explain a definition :v