Find the range and the interquartile range for 28,29,33,28,27,32,30,27

Answer:

-7, 14

Step-by-step explanation:

We start by writing this in the form $x^2 + bx + c = 0$, so we subtract 98 from both sides of the equation.

This gives us $x^2 - 7x - 98 = 0$. We proceed by factoring $x^2 - 7x - 98$, so we seek numbers that multiply to $-98$ and add to $-7$. We find that $7$ and $-14$ work.

Thus, our equation becomes $(x + 7)(x - 14) = 0$. We can now apply the fact that if the product of two real numbers is zero, then at least one of the real numbers must be 0.

Solving $x + 7 = 0$ and $x - 14 = 0$, we find that the solutions are $\boxed{x  =-7~\text{and}~x = 14}$.

The value of the equation is given by x = 14 or x = -7

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 value of A is

x² - 7x = 98   be equation (1)

Subtracting 98 on both sides of the equation , we get

x² - 7x - 98 = 0

Now , on simplifying the equation , we get

x² - 14x + 7x - 98 = 0

Taking x as the common factor of the equation , we get

x ( x - 14 ) + 7 ( x - 14 ) = 0

On further simplification , we get

( x + 7 ) ( x - 14 ) = 0

Now , the two solutions to the equation is

( x + 7 ) = 0

Subtracting 7 on both sides of the equation , we get

x = -7

( x - 14 ) = 0

Adding  14 on both sides of the equation , we get

x = 14

Therefore , the value of A is 14 or - 7

Hence , the equation x² - 7x - 98 = 0 has the solutions of 14 and -7

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Answer:

15

Step-by-step explanation:

(5x + 9)° = 84° (alternate angles)

5x + 9 = 84

5x = 84 - 9

5x = 75

x = 75/5

x = 15

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 22 - - 2}{ - 4 - - 4} = \frac{ - 22 + 2}{ - 4 + 4} = - \frac{20}{0} \\ [/tex]

Any number divided by zero is undefined so the slope of the line is undefined.

Hope this helps you

Answer:

Step-by-step Explanation:

We need to find the slope of the line joining the points (-4, -2) and (-4, -22).

We know that, Slope is the difference of abcsissa (x - coordinate) / difference of ordinates (y-coordinate)

[tex]m = \dfrac{y2 - y1}{x2 - x1} [/tex]

Here:

Plugging these values:

[tex]m = \dfrac{ - 22 - ( - 2)}{ - 4 - ( - 4)} [/tex]

This can be written as:

[tex]m = \dfrac{ - 22 + 2}{ - 4 + 4} [/tex]

[tex]m = \dfrac{ - 20}{0} = \infty [/tex]

Here, The slope of the line is infinite or undefined. An undefined slope (or an infinitely large slope) is the slope of a vertical line!

Answer:

The domain is x ≥ − 2 and the range is AllRealNumbers

Step-by-step explanation:

Alrighty, first of all, the domain is the number or amount of x coordinates in the function. The range is the number or amount of y coordinates in the function. As we can see, the x coordinates stretch out towards the right starting from -2. We can include -2, so the domain would be x ≥ − 2.  The range would be AllRealNumbers because it streches out infinitely both upwards and downwards.

Answer:

I think the second one

Step-by-step explanation:

I haven't learned how to do this.

Answer:

1st Option:

[tex]f(x)=-2|x|+1[/tex]

Step-by-step explanation:

The attached picture below is proof that [tex]f(x)=-2|x|+1[/tex] is the correct function that represents the graph.

Hope this helps! :)

Answer:

1

Step-by-step explanation:

7b -14 = -7

or b= 14-7 / 7

or b= 7/7

b is 1

Answer:

£12

Step-by-step explanation:

To find the original amount, divide 6.60 by 0.55:

6.60/0.55

= 12

So, Sophie had £12 to begin with

Answer:

1, scalene 2, equilateral 3, scalene 4, isosceles

Step-by-step explanation:

Answer:(-4,1)

Step-by-step explanation:

x: Since it said x+1 you move it over to the right one unit because the left to right is positive on a graph. So that would make the x-coordinate go from -5 to -4.

y: Since it said y-3 you would move it down three units because top to bottom is negative on a graph. so that would make the y-coordinate go from 4 to 1.

I hope this helps!!    :)

Answer:

44

Step-by-step explanation:

[tex] (\sqrt{99} - \sqrt{11})^2 =  [/tex]

[tex] = (\sqrt{9 \times 11} - \sqrt{11})^2 [/tex]

[tex] = (3\sqrt{11} - \sqrt{11})^2 [/tex]

[tex] = (2\sqrt{11})^2 [/tex]

[tex] = 2^2 \times (\sqrt{11})^2 [/tex]

[tex] = 4 \times 11 [/tex]

[tex] = 44 [/tex]

Answer: 44

Answer:

x2/5=3/20 it is the equation

and when we solve it

x2/5=3/20

x2/5×5/2=3/20×5/2

x=15/40 when we simplify it by 5 it is

x=3/9 it is the answer for the question.

Answer:

.003411

Step-by-step explanation:

Is the OBJ box supposed to mean something?

Answer:

D

Step-by-step explanation:

70% as a fraction is 70/100

Answer:

The answer would be D. 70/100

Step-by-step explanation:

70% as a fraction is 70/100

The fact that she threw 50 free throws last season is not important because the question does not ask for the amount of shots she made.

Answer:

I think it's C or D

Step-by-step explanation:

All decimals are rational numbers and so are repeating ones

Answer:

Each repeating decimal number satisfies a linear equation with integer coefficients, and its unique solution is a rational number.

Step-by-step explanation:

3 cups of strawberry syrup are needed to make 108 milkshakes.

Answer:

2b+9

Step-by-step explanation:

(7-b)+(3b+2) ---> remove parenthesis

7-b+3b+2 ---> combine like terms

2b+9

Answer:

We need to see the graph in order to solve this.

Step-by-step explanation:

No graph

Answer:

D. 8/5 x

Step-by-step explanation:

Answer:

8/5 x

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The indicated operation is multiplication, therefore:

-1 × 1 × 2 × 2 × -2 = 8

Answer:

bop bada bap boom pow!Djdnxnjxjdjfbcc

Answer:

4

Step-by-step explanation:

Substitute the given value (2) to wherever x is present...

so,

2/2+5(2)-7= The ans

1+10-7= The ans

11-7=4

So ya, that's the ans

Answer:

My buddy what's popping??

Step-by-step explanation:

Those coming from the Pest end had to walk round the Castle Hill on the Buda side to be able to proceed northwards. On 10 February 1853, four years after the completion of the Chain Bridge, the building of a tunnel leading through the hill was started to the plans of Adam Clark. On 6 March 1856, the tunnel was opened for foot traffic, and on 30 April 1857 also for motor traffic. Being 350 meters in length, it leads through under the Buda Castle to the other side of the hill. Its length is approximately identical to that of the Chain Bridge, prompting anecdotes according to which the tunnel has only been built so that in rainy weather, the Chain Bridge can be shoved in and be protected from wet conditions. The entry of the tunnel at its Chain Bridge end was also fittingly designed in classicist style.

Answer:

At right is the tunnel entrance that runs through Castle Hill in Budapest, Hungary.-a If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, determine a quadratic model to represent the tunnel-b State a geometric model that could be used to represent a truck passing through the tunnel.

Step-by-step explanation:

Answer:

............................

Step-by-step explanation:

Answer:

I would say that Danny's deal is better.

Step-by-step explanation

If you wan t to know the better deal you should first figure out how much they charge per hour. All you have to do is divide the price by the amount of hours.

Danny: 44 ÷ 4 = 11

Martin: 42 ÷ 3 = 14    

Martin charges more money for fewer hours. Danny charges less for 4 whole hours, so he would be the better deal!!!

Answer:

58.06%

Step-by-step explanation

TRUST ME

Answer:

[tex]P(x)=x^3+x^2[/tex]

Step-by-step explanation:

Polynomials

Given the roots or zeros of a polynomial as x1, x2, x3, ...xn and the leading factor a, the polynomial can be expressed as:

[tex]P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)[/tex]

We are given the zeros of a polynomial as x1=0, x2=0 (multiplicity or zeros), and x3=-1, thus the polynomial is:

[tex]P(x)=a(x-0)(x-0)(x+1)[/tex]

Operating:

[tex]P(x)=a.x.x(x+1)[/tex]

[tex]P(x)=ax^2(x+1)[/tex]

[tex]P(x)=ax^3+ax^2[/tex]

Assuming a=1, the polynomial is

[tex]\mathbf{P(x)=x^3+x^2}[/tex]

Over the course of its first 5 years of operation, total profit the company would make is $633,709 .

"Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest."

Given, the annual profit of the company at first year = P =$277,000.

The rate of increase of profit = r% = 18% =0.18.

Total duration = n = 5.

Therefore, after first 5 years of operation, total profit the company would make = P[(1 + r)/100]ⁿ

= $277,000(1 + 0.18)⁵

=$633,708.9

≈$633,709

After 5 years , the total profit would have $633,709.

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Answer:

x=-5

Step-by-step explanation:

Answer:

I believe the answer is x= -5