Janice has started a job selling luxury

1 golf carts and was offered an option of 2 differnt pay schedules. OPTION A: $63,000/year OPTION B: $2225/month plus 3.25% commission on the amount of all her sales.

What is the amount of sales he must

reach each month in order for

OPTION B to be the most beneficial

for her?

Answer:

The length of rectangle is 7 cm and width is 2 cm.

Step-by-step explanation:

Given that:

Area of rectangle = 14 square centimeters

The length of a rectangle is 3 centimeters less than five times its width.

Let,

L be the length and W be the width of the rectangle.

L = 5W - 3

Area of rectangle = Length * Width

14 = (5W-3)*W

[tex]14=5W^2-3W\\5W^2-3W-14=0[/tex]

Factorizing the equation;

[tex]5W^2-10W+7W-14=0\\5W(W-2)+7(W-2)=0\\(5W+7)(W-2)=0[/tex]

Either,

5W+7 = 0

5W = -7

W = -7/5

Or,

W-2 = 0

W=2

As width of rectangle cannot be negative, therefore,

Width = 2 centimeters

Length = 5(2) -3 = 10-3 = 7

Hence,

The length of rectangle is 7 cm and width is 2 cm.

Answer:

a. 228- 6th, 489- 17th, 524- 28th, 597- 39th, 623- 50th, 659- 61th, 736- 72th, 777- 83th, 804- 94th

b. 597

Step-by-step explanation:

arrange the data:

228, 489, 524, 597, 623, 659, 736, 777, 804

a. percentile = ((number of items below position + 0.5)/ number of items ) 100

for 228 = (0+0.5/ 9) 100 = 6th

for 489 = (1+0.5/ 9) 100 = 17th

for 524 = (2+0.5/ 9) 100 = 28th

for 597 = (3+0.5/ 9) 100 = 39th

for 623 = (4+0.5/ 9) 100 = 50th

for 659 = (5+0.5/ 9) 100 = 61th

for 736 = (6+0.5/ 9) 100 = 72th

for 777 = (7+0.5/ 9) 100 = 83th

for 804 = (8+0.5/ 9) 100 = 94th

b. The corresponding value for the 40th = number of item( percentile)/ 100

   = 9( 40) / 100 = 3.6 approximately 4th which is 597

Answer:

y<2/3x-2.5

Step-by-step explanation:

Y=mx+b

m=2/3

b=2.5

because the top half of the graph is shaded

Answer:

0.5

Step-by-step explanation:

Answer:

<-7,3> and 157°

Step-by-step explanation:

Trust fam

Answer:

D.

Step-by-step explanation:

edg 21

Answer:

x = -3

Step-by-step explanation:

Answer: 4/9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge 2021

Answer:

Those all look correct if that's what you are asking

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

m∠COA

Step-by-step explanation:

m∠COX = 80°

Here,

m∠COX = 40° + m∠COA

m∠COX = 40° + 40° = 80°

Thus, m∠COX = m∠AOX + m∠COA

-TheUnknownScientist

Answer:

C) Reflection across the x-axis.

Step-by-step explanation:

From Linear Algebra we define the reflection across the x-axis is for [tex]P(x,y) =(x,y)[/tex]:

[tex]P'(x,y) = (x, -y)[/tex] (1)

If we know that [tex]A(x,y) = (-1, 2)[/tex], [tex]B(x,y) =(-1,5)[/tex], [tex]C(x,y) = (-3, 5)[/tex] and [tex]D(x,y) =(-3, 2)[/tex], then the reflected points are, respectively:

[tex]A'(x,y) = (-1, -2)[/tex]

[tex]B'(x,y) = (-1,-5)[/tex]

[tex]C'(x,y) = (-3,-5)[/tex]

[tex]D'(x,y) = (-3,-2)[/tex]

In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.

This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.

Given:

Transform  rectangle ABCD to rectangle A'B'C'D',

The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).

The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).

We need to determined the transformation that Kim perform to create rectangle A'B'C'D.

From Linear Algebra we define the reflection across the x-axis is for,

P(x,y) = (x,y)

P(x,y) = (x,-y)                                .....(1)

It is given that  A(-1,2), B(-1,5), C(-3,5) and D(-3,2).

Therefore from equation (1)  above point becomes,

A'(x,y) = (-1,-2)

B'(x,y) =(-1,-5)

C'(x,y) =(-3,-5)

D'(x,y) =(-3,-2)

Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.

For further details, please refer this link:

https://brainly.com/question/25095797

Answer:

36miles

Step-by-step explanation:

Given parameters:

Rate  = 12mph

Time  = 3hr

Unknown:

Distance = ?

Solution:

The given rate amount is the speed. Speed is the distance divided by the time.

It is mathematically expressed as:

         Speed  = [tex]\frac{distance}{time}[/tex]  

    Distance  = Speed x time

    Distance  = 12 x 3  = 36miles

Answer:

y -y1 = m(x-x1)  (this is point slope form)

find the slope using the equation (y2-y1)/(x2-x1) (plug in the points)

(-4,5) is point 1 and (-6,3) is point 2

(3-5)/(-6-(-4))

-2/ -2

1 (this is the slope)

and then plug in all the things you know

y - 5 = 1 ( x - ( -4))

Step-by-step explanation:

Answer: A

Step-by-step explanation:

uIf it included Northern in the answer choices than it should be capital because it is a location and with the comma after Canada helps clarify here its breeding ground is at and to stop it from being a run on sentence (tho It would be used with a period to stop a run on sentence but to help it here.)

Answer:

(2, 1) or (1, 2)

Step-by-step explanation:

I not sure :3 I think its most likely (1, 2)

Answer:

Step-by-step explanation:

Well what's your question

Answer:

Step-by-step explanation:

0% because the event is impossible

Answer:

9 rectangles

Step-by-step explanation:

two squares form a rectangle.

18 ÷ 2 = 9

Answer:

A.) 0.002980

B.) 0.8335

C.) 0.00000000143

Step-by-step explanation:

The problem can be solved using the binomial probability formula :

P(success) p = 0.3

Number of trials (n) = 15

P(x = x) = nCx * p^x * (1 - p)^(n-x)

A) Exactly 10:

P(x = 10) = 15C10 * 0.3^10 * 0.7^5

3003 * 0.3^10 * 0.7^5

= 0.002980

B) between 2 and 6 people :

Using binomial probability calculator to save time

P(2) + p(3) + p(4) + p(5) + p(6)

0.0915 + 0.170 + 0.219 + 0.206 + 0.147

= 0.8335

C.) What is the probability that all 15 will want hot peppers?

P(x = 15) = 15C15 * 0.3^15 * 0.7^0

= 1 * 1.4348907E−8 * 1

= 0.00000000143

Answer:

20 pounds divided by 4

Step-by-step explanation:

Answer:

you should try math

Step by step explanation:

way

Answer:

30 I think. The bird house is 45 so minus 15 you get 30

Answer:

45

Step-by-step explanation:

a square is equal no mater what. here i bless the eyes

Answer:

P(X>5) = 0.857

Step-by-step explanation:

Let X [tex]\sim[/tex] uniform(3.17)

[tex]f(x) = \dfrac{1}{17-3} ; \ \ \ 3 \le x \le 17[/tex]

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:

[tex]P(X > 5) = \int ^{17}_{5} f(x) \ dx[/tex]

[tex]P(X > 5) = \int ^{17}_{5} \dfrac{1}{17-3} \ dx[/tex]

[tex]P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}[/tex]

[tex]P(X > 5) =\dfrac{1}{14} [17-5][/tex]

[tex]P(X > 5) =\dfrac{12}{14}[/tex]

P(X>5) = 0.857

Answer:

,,,,,

Step-by-step explanation:

Answer:

teal, red, purple are the correct answers

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

Answer:

9

Step-by-step explanation: