(PLEASE HELP 50 POINTS) At a dog show, the entries included Welsh corgis and cocker spaniels. The table compares the weights within this sample of dogs.
Answer the questions to compare the weights of the dog breeds and determine which breed of dog had the heaviest entry.

1. What is the median weight of the Welsh corgis? What does the median tell you about their weights?

Write your answer in the space below.







2. Which type of dog has the greater variation in weights? Justify your answer.

Write your answer in the space below.



3. Do you think the heaviest dog in the show was a Welsh corgi or a cocker spaniel? Explain how you made your choice.

Write your answer in the space below.

Answer:

1.6

Step-by-step explanation:

Answer:

1 1/4

Step-by-step explanation:

1 1/4 = 1.25

1.25x2=2.50

2.50 divided by 2=1.25

Answer:

40 hours

Step-by-step explanation:

first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours

The GCF of 45 and 315 is 45. So before conformation of my answer refer to your math teacher .

Answer:

No

Step-by-step explanation:

Think of it like this. 6/10 is 60% and 5/20 is 25%. These two values aren't the same.

Answer:

6.3

Step-by-step explanation:

Answer:

7h

Step-by-step explanation:

Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]

Then, the cost price of this bicycle :

[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]

[tex] = \tt \frac{285000}{114} [/tex]

[tex] =\color{plum} \tt2500[/tex]

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]

[tex] = \tt2500 = \frac{100x}{108} [/tex]

[tex] =\tt 100x = 2500 \times 108[/tex]

[tex] = \tt100x = 270000[/tex]

[tex] =\tt x = \frac{270000}{100} [/tex]

[tex] =\color{plum}\tt x = 2700[/tex]

Therefore, the selling price with a profit of 8% will be = 2700

Answer: [tex]4 \frac{4}{9}[/tex]

Step-by-step explanation:

Answer:

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Step-by-step explanation:

Let us solve the question one by one.

11) 6x^2+ 6x^3

In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.

[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]

The factored form is:

[tex]= 6.x.x+6.x.x.x[/tex]

12) -6x^2 + (-6) x^3

Similarly, as 11

[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]

The factored form is:

[tex]=-6.x.x+ (-6).x.x.x[/tex]

13) 5x - 8x

We can clearly see that there is only one common factor in both terms which is x

[tex]5x = 5.x\\8x = 8.x[/tex]

The factored form is:

[tex]=5.x-8.x[/tex]

Hence,

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Answer:

a. 8 y/s; divide 40(distance) by 5(time)

b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on

c. 80 yards; multiply time and distance 8×10

Answer:

f is correct

Step-by-step explanation:

A weak negative correlation. Correct option is E.

A correlation between two variables tells the how the first variable will change, with change in second variable.

Given,

Value of y decreases as the value of x increases and vice versa.

Also, x and y are nearly linearly related.

But, there is still some deviation in the values and are not perfectly linear.

Hence, there is a weak negative correlation between x and y.

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Answer:

No

Step-by-step explanation:

Let's use the Pythagorean Theorem. For those of you that don't know, it is [tex]a^2 + b^2 = c^2\\[/tex].  

11 is the bigger side in this case, so our formula would go like this: [tex]5^2 + 6^2 = 11^2\\[/tex].

We now calculate to see if this is true.

25 + 36 [tex]\neq[/tex] 121

Therefore, the answer is wrong.

Answer:

5/8 =x

Step-by-step explanation:

9=8/5(x+5)

Multiply each side by 5/8

5/8 *9=  5/8 *8/5(x+5)

45/8 = x+5

Subtract 5 from each side

45/8 - 5 = x+5-5

45/8 -5 = x

Get a common denominator

45/8 - 5*8/8 =x

45/8 - 40/8 =x

5/8 =x

Answer:

A) 60

B) 72/300

C) 150

Step-by-step explanation:

A) P(green) = ⅕

⅕ × 300 = 60

B) purple: 72

45+37+52+94+72 = 300

Therefore, 72/300

C) 1000 × (45/300)

150

a, The number of times is 60.

b. The probability for landing should be [tex]72/300[/tex]

c. The number of times is 150.

Since

a. The spinner shown is spun 300 times

and, the probability of green should be like [tex]1/5[/tex]

So here one-fifth of 300 should be 60.

b. The probability is

First the total be like

= 45+37+52+94+72

= 300

Now the probability is

=  [tex]72/300[/tex]

C) The number of times should be

[tex]= 1000 * (45/300)[/tex]

= 150

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Answer:

x < 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-2x > -12

Step 2: Solve for x

Here we see that any value x smaller than 6 would work as a solution to the inequality.

Answer:

x < 6

Step-by-step explanation:

Hello!

We can solve inequalities the same way as we solve equations. The most important rule is that when you divide or multiply both sides by a negative number, flip the sign.

The solution set for x is all values less than 6.

Answer: 3/6

Step-by-step explanation:

If you convert them into decimals you get

3/8 = 0.375

3/6 = 0.5

Answer: 3/6 is greater

Step-by-step explanation:

Answer:

First Q: The smallest value for which n works is 11.

Second Q: Smallest here is 17.

Third Q: I don't know this one, sorry!

Fourth Q: n is -10.

Step-by-step explanation:

For the first two questions, find the smallest common factor between the two numbers (subtract the remainder).

Q1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

These two numbers share 11 and 13 in common. 11 is the smaller of these, so it is the smallest value n can work.

Q2:

Repeat the steps from Q1.

12650 - 2 = 12648; 5800 - 3 = 5797

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

These two share 17, 31, and 527 in common. 17 is the smallest of these, so it is the smallest value n can work.

Q4 (I don't know how to do Q3 yet):

2n + 25 = n + 15

Subtract n from both sides

n + 25 = 15

n = 15 - 25

Subtract 25 from 15 to get -10

n = -10

Again, I don't know how to do Question 3 yet. Sorry for the inconvenience! Anyhow I hope the rest of this was helpful!

The least possible natural number n is 11.

Given that, when you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5.

The greatest common divisor (GCD) refers to the greatest positive integer that is a common divisor for a given set of positive integers.

Question 1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

11 and 13 are common factors. 11 is the smaller of these, so the smallest n value is 11.

Question 2:

First, subtract the remainders from the numbers

That is, 12650 - 2 = 12648; 5800 - 3 = 5797

List the factors:

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

17, 31, and 527 are common factors. 17 is the smaller of these, so the smallest n value is 17.

Therefore, the least possible natural number n is 11.

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Answer: 6.68km/litre

Step-by-step explanation:

Distance(d) = 187km ( to 3 significant figures)

Petrol(p) = 28litres ( to 2 significant figures)

A number, x, rounded to 1 significant figure is 200

Write down the error interval for x

Calculating the lower and upper bound for both 'd' and 'p'

Upper bound 'd' = 187.5km

Lower bound 'd' = 186.5km

Upper bound 'p' = 28.5km

Lower bound 'p' = 27.5km

Therefore,

Petrol consumption (C) = d/p

Upper C = 187.5 / 28.5 = 6.57894

Lower C = 186.5 / 27.5 = 6.781818

Accuracy answer for C = (6.57894 + 6.781818) / 2 = 6.680379

= 6.68km/ litre ( to 3 significant figures)

To achieve a reasonable level of accuracy, the upper and lower bounds of P and D was used to calculate C, which was then averaged.

Using 3 significant figures ensure that we capture the C better, instead of early rounding.

Answer:

the answer is 6 ft hope it helps

The maximum height, in feet, of a ladder she can buy to fit through the door is, 6.7 feet

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

We have to given that;

The shed in Stephanie’s back yard has a door that measures 6 feet high and 3 feet wide.

Now, By using Pythagoras theorem;

The length of a ladder she can buy to fit through the door is, x

⇒ x² = 6² + 3²

⇒ x² = 36 + 9

⇒ x² = 45

⇒ x = √ 45

⇒ x = 6.7 feet

Thus, The maximum height, in feet, of a ladder she can buy to fit through the door is, 6.7 feet

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Answer:

look in explanation

Step-by-step explanation:

1) bisector means cutting an angle in half. the small lines between segment SM and MT mean they are congruent. this means MW is a bisector. Since both halves of ST are congruent, we know SM = 19. 19+19=38

2) same logic here, M bisects ST. set both halves of ST equal to each other and solve.

3x-6=x+8

2x+14

x=7

plug back in to find MT (7)+8=15. MT=SM so double 15 to get ST. ST=30

3) the bisector will be exactly halfway between the points.

4) find difference between x and y values, and divide by 2

2-2=0 0/2=0 x moves 0

13-1=12 12/2=6 y moves 6

so add 0 and 6 to 2,1 to get (2,7)

5) same process

6--6=12 12/2=6

6-0=6 6/2=3

add 6 and 3 to -6,0 to get (0,3)

6) find the change in x and y between the coordinate sets. (x: 1- -1=2) (y: 2-4=-2) take the opposite of those values and add them to M

(x:1-2=-1) (y:2+2=4)

(-1, 4) are the other coordinates for C

7) take the same steps

(x:3-1=2) (y:7-1=6)

use -2 and -6

(x:3-2=1) (y:7-6=1)

(1,1) are other coordinates for C

8) use distance formula

sqrt (x1-x2)^2 + (y1-y2)^2

sqrt(1--1)^2 +(2-4)^2

sqrt (2)^2 +(-2)^2

sqrt 4+4

sqrt 8

9) same process

sqrt (-1-3)^2+(-5--8)^2

sqrt (-4)^2 +(3)^2

sqrt 16+9

sqrt 25

5

Answer:

The equation is;

y = 2x^2 -8x + 12

Step-by-step explanation:

The vertex form can be written as;

a(x-h)^2 + k

(h,k) represents the coordinates of the vertex

In this case, we have this as (2,4)

The value of a is positive as the parabola opens up and it is the axis of symmetry

It is the x value that divides the graph into 2

Thus, we have x as = 2

so the equation of the graph will be;

2(x-2)^2 + 4

2(x^2 - 4x + 4) + 4

= 2x^2 -8x + 8 + 4

= 2x^2 -8x + 12

9/12 = 75%

if any questions just ask.

Answer:

Step-by-step explanation:

Step-by-step explanation:

-143 = -11x : Original problem

[tex]\frac{-143}{-11}[/tex] = [tex]\frac{-11x}{-11}[/tex] : Isolating the variable

13 = x : Simplification  (Note: when you divide a negative number by a negative number, the answer is positive)

Answer: x=13

Hope this helps!!!

Answer:

you have to show which points lol

Answer:

16+c=25

Step-by-step explanation:

The  base   is a number that is multiplied. The number that indicates how many times this number is used as a factor is the  exponent  

For example, the number 2^3 expands out to 2*2*2. We have three copies of the base '2' being multiplied.

Another example: 5^2 = 5*5.

Answer:

The "Factor" is a number that is multiplied. The number that indicates how many times this number is used as a factor is the "Exponent".

Step-by-step explanation:

Example: 7 • 7 can be written as 72, 7 is the base and 2 is the exponent. The exponent 2 means there are two factors.  

Hope it helped : )