To determine what effect the salespeople had on purchases, a department store polled 700 shoppers as to whether or not they had made a purchase and whether or not they were pleased with the service. Of those who had made a purchase, 130 were happy with the service and 119 were not. Of those who had made no purchase, 142 were happy with the service and 309 were not.


Find the probability that a shopper who was happy with the service had made a purchase (round off to the nearest hundredth).

Answer:

50°

Step-by-step explanation:

65+65+<z = 180

130+ <z = 180

<z = 50°

Step-by-step explanation:

a) x=0, y=6

x=1, y=4

x=2 , y=2

x=3, y=0

x=4, y= -2

y= 6-2x

b) look at the attachment.

c)

6-2x=3

-2x=-3

x=3/2

Answer:

[tex]p = 25(3)^n[/tex]

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

[tex](n_1,p_1) = (0,25)[/tex]

[tex](n_2,p_2) = (1,75)[/tex]

[tex](n_2,p_2) = (3,225)[/tex]

The above shows a geometric progression.

So, we solve using

[tex]p = ab^n[/tex]

In [tex](n_1,p_1) = (0,25)[/tex]

n = 0 and p = 25

Substitute these values in [tex]p = ab^n[/tex]

[tex]25 = ab^0[/tex]

[tex]25 = a*1[/tex]

[tex]25 = a[/tex]

[tex]a = 25[/tex]

In [tex](n_2,p_2) = (1,75)[/tex]

n = 1 and p = 75

Substitute these values in [tex]p = ab^n[/tex]

[tex]75 = ab^1[/tex]

[tex]75 = ab[/tex]

Substitute 25 for a

[tex]75 = 25*b[/tex]

Make b the subject

[tex]b = \frac{75}{25}[/tex]

[tex]b = 3[/tex]

So, we have:

[tex]a = 25[/tex] and [tex]b = 3[/tex]

The equation [tex]p = ab^n[/tex] becomes

[tex]p = 25(3)^n[/tex]

     Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

       There is a common ratio of 'r' in each successive term to the

       previous term.

       Therefore, it's a geometric sequence.

       [tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)

       Here, [tex]a=[/tex] First term

       [tex]r=[/tex] Common ratio

       [tex]n=[/tex] nth term

Given in the table,

        [tex]r=\frac{75}{25}=3[/tex]

Explicit formula of the sequence will be,

[tex]P=25(3)^{n}[/tex] [For n ≥ 0]

       Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

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Answer:

10

Step-by-step explanation:

C = 0.75 + L

For L = 3 ; Cost, C = 3.75

3.75 = 0.75 + 3L

3.75 - 0.75 = 3L

3 = 3L

L = 3/3

L = $1

C = 0.75 + 1L

If amount spent is $10.75; C = 10.75

10.75 = 0.75 + L

10.75 - 0.75 = L

10 = L

Number of letters = 10

Answer:

x²+y²=25

Step-by-step explanation:

(x-h)²+(y-k)²=r²

(x-0)²+(y-0)²=5

x²+y²=25

Answer:

[tex] - 2[/tex]

Step-by-step explanation:

2^2×2^3(x+1)=2^2x

same base cancel,you will get

2+3x+3=2x

take same variable then - or + you will get

[tex]x = - 2[/tex]

Answer:

x=-5

Step-by-step explanation:

Answer:

X=-8

Step-by-step explanation:

18+x=10

-18 -18

x=-8

Answer:

√308 or 17.5

Step-by-step explanation:

c^2=a^2+b^2

c^2-a^2=b^2

Substitute

18^2-4^2=b^2

324-16=b^2

b^2=308

b=√308 or b=17.5

Answer: no solution

Step-by-step explanation: after simplifying they are parallel which means they have no solutions

Answer:

4 th quadrant

Step-by-step explanation:

olz make me brainliest

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(4, 3)

m = [tex]\frac{3-6}{4-4}[/tex] = [tex]\frac{-3}{0}[/tex]

Division by zero is undefined thus the slope of CD is undefined

Answer:

2:8

Sarah has 2 small dog and 8 big ones

Step-by-step explanation:

Answer:

x = 3

y = 7

Step-by-step explanation:

y=3x-2

y=4x-5

then 3x-2 = 4x-5

reduce

x = 3

y = 7

Answer:

SOLVE FOR Y

y=

2

x+5

​

SOLVE FOR X

x=2y−5

Step-by-step explanation:

Answer:

can you explain more ........waht is this

Step-by-step explanation:

Answer:

The answers should be

x^2 + 8x + 7

x(x + 8) +7

Step-by-step explanation:

(x + 7)(x + 1)

x(x) + x(1) + 7(x) + 7(1)

x^2 + x + 7x + 7

x^2 + 8x + 7

Answer:

C d

Step-by-step explanation:

Answer:

(9/2, 7/2)

Step-by-step explanation:

The easiest way to remember how to do this problem is to average the x-coordinates and average the y-coordinates.

So, in your problem (-3 + 12)/2 = 9/2   and  (-5 + 12)/2 = 7/2

The midpoint is (9/2, 7/2)

Answer:

D

Step-by-step explanation:

All the y's go down by -4. If they keep changing by the same number its linear

Answer:

Step-by-step explanation:

Use the formula,

distance = √[(x1-x2)^2 + (y1-y2)^2]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]

[tex]4+a=-1[/tex]

[tex]a=-1-4[/tex]

[tex]a=-5[/tex]

And,

[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]

[tex]5+b=3[/tex]

[tex]b=3-5[/tex]

[tex]b=-2[/tex]

Therefore, the coordinates of fourth vertex are (-5,-2).

Answer:

y= -x+9

❤hope its helpful

THANK YOU.

Answer:

5

Step-by-step explanation:

When the angles are vertical you set up your equation to 180

3x-35+130=180 and solve

Answer:

63

Step-by-step explanation:

Answer:

1 ÷ 11

Step-by-step explanation:

The computation is shown below:

let us assume the yellow cubes be x

So, blue cubes be 2x

And, green cubes be 2x (4) 8x

Now the ratio is

Yellow: Blue: green

x:2x:8x

1:2:8

Now the probability of yellow cubes is

= 1 ÷ (1 + 2 + 8)

= 1 ÷ 11

Answer:

it will option A. Altitude hope it helps

The segment AD in the given triangle describes as Altitude.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given is a triangle ABC.

Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.

Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.

Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.

Median is the line segment joining the vertex with the mid point of the other side.

Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.

So it is altitude.

Hence the given segment is altitude.

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Answer:

13:6 D

Step-by-step explanation:

A ratio is just a comparison between two numbers. its asking for pizza students first so you enter that number first then it asks for the number of mac and cheese so you input that number.

The ratio of students who ate pizza to students who ate mac and cheese is 13:6.

From the given table we need to find the ratio of students who ate pizza to students who ate mac and cheese.

In mathematics, a ratio indicates how many times one number contains another.

Now, pizza: mac and cheese=13:6

Therefore, the ratio of students who ate pizza to students who ate mac and cheese is 13:6.

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Answer:

Positive, the slope is 7/5

Step-by-step explanation:

Answer: The slope of the line is Positive.

Answer:

911.0145

Step-by-step explanation:

60,000 is the initial cost to repay and you add 49,321.74 because of interest

60,000+49,321.74= 109321.74 this is the final cost with interest

you divide by ten because there are ten years and you want it to equal 1 year

109321.74/10= 10932.174 this is the cost per year

last you divide by 12 because thats how many months there are per year

10932.174/12= 911.0145 this is the cost per month

Answer:

Step-by-step explanation:

Given the expression

-x^2 + x + 3 x - 3

Factorize

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

-x(x-1)+3(x-1)

= (x-1)(-x+3)

Hence one of the quotient is -x+3