Sample Question...........4x + 5x=

The mean, median and mode are measures of central tendency, that is they tend to indicate the location middle of the data

Required values;

(a) The performance for the week for Park Street

The performance for the week for Bridge Road

(b) The mean is $3611

The median is $3,600

The standard deviation is $3250

The Interquartile range is $6075

Reason:

The table of values that maybe used to find a solution to the question is given as follows;

[tex]\begin{array}{|l|l|l|}\mathbf{Variable} &\mathbf{Park}&\mathbf{Bridge}\\N&36&40\\Mean&6611&5989\\SE \ Mean&597&299\\StDev&3580&1794\\Minimum&800&1800\\Q_1&3600&5225\\Median&6600&6000\\Q_3&9675&7625\\Maximum&14100&8600\end{array}\right][/tex]

(a) Park Street revenue = $7,500

Bridge Road's revenue = $7,100

The two stores sold close to but below the 75th percentile

Bridge Road revenue;

The z-score is given as follows;

[tex]Z = \dfrac{x - \mu }{\sigma }[/tex]

From the Z-Table, we have;

The percentile= 0.7291

Park Street revenue;

The z-score is given as follows;

From the Z-Table, we have;

The percentile = 0.5987

(b) Given that the operating cost is $3,000, frim which we have;

The subtracted value is subtracted from the mean and median to find the new value

Profit = The revenue - Cost

New mean = 6611 - 3000 = 3611

The new median = 6600 - 3000 = 3600

The standard deviation and the interquartile range remain the same, therefore, we have;

The interquartile range = 9675 - 3600 = 6075

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Answer:

1.20912547529

Step-by-step explanation:

Answer:

[tex]h=6[/tex]

[tex]k=2.5[/tex]

[tex]m=\sqrt{21}[/tex]

[tex]n=3\sqrt{10}[/tex]

[tex]p=\sqrt{17}[/tex]

Step-by-step explanation:

We can use the Pythagorean Theorem in each case.

Pythagorean Theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

Where [tex]a[/tex] and [tex]b[/tex] are two sides of a right-angle triangle and [tex]c[/tex] is Hypotenuse (the longest side opposite to the right angle)

For [tex]h[/tex]:

[tex]h^{2} +8^{2} =10^{2}[/tex]

[tex]h^{2} +64=100[/tex]

Subtract 64 from both sides:

[tex]h^{2} =100-64[/tex]

[tex]h^{2} =36\\[/tex]

[tex]h=\sqrt{36}[/tex]

[tex]h=6[/tex]

We follow the same process to find  [tex]k,m,n[/tex] and [tex]p[/tex].

The answer is the second one

Answer:

Lucky for you i'm good at algebra:)

Step-by-step explanation:

Slope:  -2/3

Y-intercepts: (0,7)

Answer:

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-2/3*x+7)=0

Step 1:

Simplify    2/3

Equation at the end of step 1:

y -  ((0 -(2/3• x)) +  7)  = 0

Step 2: Rewriting the whole as an Equivalent Fraction

Rewrite the whole as a fraction using  3  as the denominator :

7 = 7/1  =  7 · 3 /3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-2x+7·3/3 = 21-2x/3

Equation at the end of step 2:

y-(21-2x)/3=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

y=y/1=y·3/3

Adding fractions that have a common denominator :

 Adding up the two equivalent fractions

y • 3 - ((21-2x))     3y + 2x - 21

—————————————————  =  ————————————

        3                  3      

Equation at the end of step

3

:

 3y + 2x - 21

 ————————————  = 0  

      3      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y+2x-21

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y+2x-21  = 0

Equation of a Straight Line

4.2     Solve   3y+2x-21  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+2x-21  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 21/3  =  7  

Calculate the X-Intercept :

When y = 0 the value of x is 21/2 Our line therefore "cuts" the x axis at x=10.50000

 x-intercept = 21/2  = 10.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 5.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.667 - 7.000 = -1.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.333/2.000 = -0.667  

Geometric figure: Straight Line

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Answer:

- 7.2

Step-by-step explanation:

it is division and we need to take the reciprocal and multiply it will be -9/5. we need to simplify leaving us -7.2

Answer:

3/2

Step-by-step explanation :

Square root of 9 and 4 is 3/2 because it just is

Answer:

x<-1

Step-by-step explanation:

All of the numbers on/in the set are below -1. That means for that any of them to be x, the inequality would be x<-1.

Step-by-step explanation:

it's hope it helpful to you

Answer:

c

Step-by-step explanation:

its a pair

Answer:

6x-6=60 so if you correctly typed the question its none of them

Answer: The first box (the 450 g box for $4.69)

===========================================================

Explanation:

To get the unit cost, we'll divide each price by the weight

The first box has a unit cost of (4.69)/450 = 0.010422 approximately which rounds to 0.01; so this unit cost is approximately $0.01 per gram or 1 cent per gram.

For the second box, its unit cost is (6.49)/600 = 0.0108167 approximately. When we round to the nearest cent, we get the same unit cost as before. Without rounding, we see that the first box has a slightly lower unit cost. Therefore box 1 is the better buy.

Answer:

140

Step-by-step explanation:

one exterior = the sum of two interior

Answer:

165 miles

Step-by-step explanation:

part 1

231/7= 33 mpg

33x5 = 165 miles

part 2

distance/mpg = gas used

for example: if you were told he went 200 miles,

200/33 = 6.06 gallons of gas

Given :

Ian's car can go 231 miles on 7 gallons of gas.

During a drive last weekend, lan used

5gallons of gas.

To find :-

How far did he drive?

Solution :-

According to Question ,

Car can go 231 mi on 7 gallons of gas.

Using Unitary Method ,

On 1 gallon of gas it will go 231/7mi

On 5 , it will go 231/7*5 = q65 miles

Hence the required answer is 165 miles

Step-by-step explanation:

it is very easy solve I will tell you if u follow me we should help each other

1.4F. When you add 3.1 to -1.7 you get 14F

Answer:

The answer is 1.4.

Step-by-step explanation:

Answer:

CFX, ADC

Step-by-step explanation:

CFX is just a larger version of AEX. Same thing with CFX.

Answer:

X=24

Step-by-step explanation:

55-31 is 24

Answer:

x+31°=55°[alternate angle]

x=55°-31°

x=24°

answer

Answer:

The highest value I could get, without going over, is 5+1=6 and 25+1=26

Step-by-step explanation:

Answer:

-45

Step-by-step explanation:

-70 --25

-×-=+

-70 +25

-45

Answer:11/96

Step-by-step explanation:

1-(1/3)=2/3=14/24

(2/3)-(1/8)=(14/24)-(3/24)=11/24

11/24 divided into 4 again is 11/96

Answer:

look i think is -5.005 I don't really know but I hope you get it right. Have a good day

Answer: -20

Step-by-step explanation: plz mark me brainliest please?

Answer:

a = c - 3b/2

Step-by-step explanation:

2a + 3b - 3b = c - 3b

2a = c - 3b

2a/2 = c/2 - 3b/2

therefore your answer is a = c - 3b/2

Answer:

55555

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:  375

Step-by-step explanation: