a local delivery company has a cumulative frequency table to show the distance it travels to deliver parcels. a) on the graph paper, draw a cumulative diagram to show this information. join your crosses with straight lines b) use your diagram to estimate the median an the interquartile range of the delivery distance.

Answer:

Hi there!

The correct answer is: True

Step-by-step explanation:

If there is a line, there are infinite planes that pass through that line, therefore since the 4 points are in a line, they are coplanar .

Answer:

Step-by-step explanation:

The coordinate of S is (-2, -1). If you move it right, it will add 3 to the x-coordinate. This will then become 1. If you move it down, it will make it negative, making it -4. This will then become -1 - 4 = -5. Then, the S' will be located at (1, -5)

The new coordinates of S' will be located at (1, -5)  after translating 3 units right and 4 units down.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

The original coordinate of S is (-2, -1).

To determine the triangle shown in the diagram is translated 3 units right and 4 units down

The x-coordinate will increase by 3 if we move it to the right.

This will then become 1.

If we shift it downward, it will become negative and read as -4.

This will then become -1 - 4 = -5.

So, the coordinate of S' will be located at (1, -5)

Hence, the new coordinates of S' will be located at (1, -5)  after translating 3 units right and 4 units down.

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Answer:

2x -12

Step-by-step explanation:

6x -4( x + 3)

Distribute

6x - 4x -12

Combine like terms

2x -12

Answer:Brainliest plz

yes

Step-by-step explanation:

NP and KJ are proportional because if M and L are equal so are NP and KJ

Answer:

k = 2/3 x

y = 2/3.

Step-by-step explanation:

y = kx where k is a constant

y = 2 when x = 3 so:

2 =k*3

k = 2/3.

The equation is y = 2/3 x.

When x = 1

y = 2/3 * 1 = 2/3.

If the value of the constant k is 2/3. Then the value of y at x = 1, is 2/3

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

If y varies directly as x.

y ∝ x

y = kx

Where k is a constant.

At x = 3, the value of y will be 2.

2 = 3k

k = 2/3

Then the value of y at x = 1, we have

y = (2/3) 1

y = 2/3

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Answer:

if i'm not mistaken the answer is B

Answer:

Ans for the solution is B

Answer:

The value of x + y is   -16.

Step-by-step explanation:

If each term is calculated by multiplying the previous one times 5 and then subtracting 20 from that result, then we can use that information to relate the first term (x) and the second one (0).

Following the info above, the following equation applies:

0 = 5 x - 20

then we solve for x:

5x = 20

x = 20/5

x = 4

Now we do the same study relating the second term (0) and the third one (y):

y = 5 (0) - 20

y = -20

Now that we have the value for both unknowns, we can estimate what they ask you: The value of x + y:

x + y = 4 + (-20) = 4 - 20 = -16

Answer: C

Step-by-step explanation:

IT is dividing by 6

The value of x in the given diagram of two similar triangle is  9 units.

Let us consider the name of two triangles be ABC and PQR.

Such that,

In triangle ABC,

AB = 12 , BC = 54 , m∠BAC = 90° and marked angle  is ∠ABC .

In triangle PQR,

PQ = 2 , QR = x, m∠QPR = 90° and marked angle  is ∠PQR .

In triangle ABC and PQR we have,

m∠BAC = 90° = m∠QPR

m∠ABC = m∠PQR  (given )

By AA corollary,

Triangle ABC is similar to triangle PQR with correspondence ABC ↔ PQR.

Corresponding sides of the similar triangle are in proportion.

AB / PQ = BC / QR

⇒ 12 / 2 = 54 / x

⇒ 12x  = 54 × 2

⇒ x = ( 54 × 2 ) / 12

⇒ x = 9

Therefore, the value of x in the given triangle is equal to 9 units.

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Answer:

25 units

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Our points: (0, 0) and (7, -24)

[tex]d = \sqrt{7^2+(-24)^2}[/tex]

d = √(49+576)

d = √625

d = 25

Answer:

25

Step-by-step explanation:

You can also use the pythagorean theorem.

From  (0, 0) to (7, -24), one of the side lengths of the triangle is 24, and the other is 7.

Now we can use the pythagorean theorem with these numbers

[tex]7^2 +24^2=x^2[/tex], and now we can solve these squares to get

[tex]49+576=x^2\\625=x^2\\\sqrt{625} = x\\[/tex], So x = 25

Answer:

0

Step-by-step explanation:

f(x) = 1 - x

g(x) = 1-X

f(x) - g(x) = 1-x - (1-x)

              Distribute

               =1-x-1 +x

           Combine like terms

             0

Answer:

Negative 18 divided by 2

Step-by-step explanation:

Answer:

The answer is 36/18.

Hope this helps.

Answer:

no

Step-by-step explanation:

Given the 2 equations

- 6x + 3y = 18 → (1)

4x - 3y = 6 → (2)

Adding the 2 equations term by term eliminates the y- term , that is

- 2x = 24 ( divide both sides by - 2 )

x = - 12

Substitute x = - 12 into either of the 2 equations and solve for y

Substituting into (2)

4(- 12) - 3y = 6

- 48 - 3y = 6 ( add 48 to both sides )

- 3y = 54 ( divide both sides by - 3 )

y = - 18

There is 1 solution (- 12, - 18 )

Answer:

the sum of exterior angles of a polygon is 360°

Answer:

1) ΔCBF ≅ ΔCDF by (SSS)

2) ΔBFA ≅ ΔDFE by (SAS)

3) ΔCBE ≅ ΔCDA by (HL)

Step-by-step explanation:

1) Since BC ≅ DC and DF ≅ BF where CF ≅ CF (reflective property) we have;

ΔCBF ≅ ΔCDF by Side Side Side (SSS) rule of congruency

2) Since DF ≅ BF and FA ≅ FE where ∠DFE = ∠BFA (alternate angles)

Therefore;

ΔBFA ≅ ΔDFE by Side Angle Side (SAS) rule of congruency

3) Since FA ≅ FE and DF ≅ BF then where EB = FE + BF and AD = FA + DF

Where:

EB and AD are the hypotenuse sides of ΔCBE and ΔCDA respectively

We have that;

EB = AD from  FE + BF = FA + DF

Where we also have BC ≅ DC

Where:

BC and DC are the legs of ΔCBE and ΔCDA respectively

Then we have the following relation;

ΔCBE ≅ ΔCDA by Hypotenuse Leg (HL).

Answer:

B, C, E

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Variables are letters which are used to represent particular unknown quantities in equations.

Now the variable in this question is x.

When we talk about coefficient , we mean the number before the variable in question.

We can see that the variable is written as -3x

-3 is the value before the variable so we can agree that -3 is its coefficient

Answer:

its -3, i took the test

Have a great day!!

Step-by-step explanation:

Answer:

ABC~WXY by AA

Step-by-step explanation:

In ΔABC

∠B = 90°

∠A = 27°

To Find ∠C

Angle sum property: The sum of all angles of triangle is 180°

∠A+∠B+∠C=180°

27°+90°+∠C=180°

∠C=180°-117°

∠C=63°

In ΔWXY

∠X = 90°

∠Y = 63°

We will use angle sum property

So, ∠W+∠Y+∠X=180°

90°+63°+∠W=180°

∠W=180°-(90°+63°)

∠W=27°

So, ∠A=∠W

∠B =∠X

∠C = ∠Y

So, ABC~WXY by Angle - Angle property.

Hence ABC~WXY by AA

Answer: Option C, the median is 5.

Step-by-step explanation:

The median is the value that is just in the middle of our data set (the possible values in the histogram)

the set is S = {2, 3, 4, 5, 6, 7, 8, 9}

And if we take in account the number of times that each value is repeated, we get:

S = {2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9}

So we have 17 values, and the one exactly in the middle will be the median.

To find the point in the middle, we can use that we have 17 values, because 17 is odd, we can do

17 - 1 = 16

16/2 = 8.

17 - 8 = 9.

Then the 9nth point is our median:

the 9th point is a 5.

Then the correct option is C

Answer:

-2 6/7 (3/7n - 2/7)

Step-by-step explanation:

Answer: 1/100 of a mile

Step-by-step explanation:

36 inches is equal to 3 feet which is equal to 1 yard

1/100 of a mile = 633.6 inches

Answer:

1/100 of a mile

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]18 :9\\\frac{18}{9} \\Use -3- to- divide- through\\= \frac{2}{1} \\= 2:1[/tex]

[tex] \sf{ y + 2 = 5}[/tex]

[tex] \rightarrow \sf{y = 5 - 2}[/tex]

[tex] \rightarrow \sf{y = 3}[/tex]

Answer:

Y+2=5 will give you 3  (solved for y)

Step-by-step explanation:

Answer:

64 degrees

Step-by-step explanation

multiply 4 by 16 because for every hour it was cooled another 4 degrees so 4 times 16 equals 64

Answer:

See below

Step-by-step explanation:

When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

The sample space of the product xy of each outcome forms the required possibility diagram.

This is given as:

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

Answer:

[tex]y+6=4(x-1)[/tex] or [tex]y-6=4(x-4)[/tex]

Step-by-step explanation:

We want to find the equation in point-slope form of the line that passes through the two points (1, -6) and (4, 6).

Recall that point-slope form is given by:

[tex]y-y_{1}=m(x-x_{1})[/tex]

Where m is the slope.

Find the slope m using the two given points.

[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{6-(-6)}{4-1} = \frac{12}{3} = 4[/tex]

Substitute. We can use either point. Using the point (1, -6), we acquire:

[tex]y-(-6)=4(x-(1))[/tex]

Simplify:

[tex]y+6=4(x-1)[/tex]

And using the point (4, 6), we acquire:

[tex]y-(6)=4(x-(4))[/tex]

Simplify:

[tex]y-6=4(x-4)[/tex]

Answer:

x = 1 ± √89

Step-by-step explanation:

Step 1: Expand

x² - 2x - 63 = 25

Step 2: Isolate xs

x² - 2x = 88

Step 3: Complete the square

x² - 2x + 1 = 88 + 1

(x - 1)² = 89

Step 3: Square root both sides

√(x - 1)² = ±√89

x - 1 = ±√89

Step 4: Isolate x

x = 1 ± √89

Answer:

16

Step-by-step explanation:

[tex]400 \times (1+15\%)[/tex]

[tex]400 \times (1+15/100)[/tex]

[tex]400 \times (1.15)[/tex]

[tex]\displaystyle =460[/tex]

Step-by-step explanation:

15/100*400

=60.

then by adding 15% to 400

=460.

Answer:

2.449

Step-by-step explanation:

the square root of 6 is about 2.449

Answer:

It is 50

Step-by-step explanation:

Answer:

50.

Step-by-step explanation:

150 = 2*3*5*5

250 = 2*5*5*5

From the common factors ( one pair of 2's and 2 pairs of 5's):

HCF = 2*5*5

= 50.

Answer: £323.76

Step-by-step explanation:

Circumference = 2πr

= 2 x π x 30^2

= 2 x π x 900

= 1800π = 5654.9 cm = 56.549 meters

Amount paid 57m x £5.68 = £323.76