7.<br> 0, 78, 99, 58, 65, 0, 47, 38, 227<br> Mean<br> Median<br> Mode

Mary has an office-supplies budget of $150 for

tatyana61 [14]

Part a)

The inequality that represents the number of folders f and notebooks n she can purchase is $2.15f+4.60n\leq 150$

Part b)

The graph is attached in figure.

Step-by-step explanation:

Part a)

Total budget of Mary = $150

Price of each folder = $2.15

Price of each notebook= $4.60

Let f represent folder and n represent notebooks the inequality will be:

$2.15f+4.60n\leq 150$

We are using less than or equal to (≤) because the budget is 150. the total price should be less than or equal to 150.

So, inequality that represents the number of folders f and notebooks n she can purchase is $2.15f+4.60n\leq 150$

Part b)

Graph the inequality 2x – 3y = 12

We need to graph the inequality but in the given question the inequality sign is missing.

Considering less than equal to (≤) sign

2x – 3y <= 12

The graph is attached in figure below.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

5 0

3 years ago

A clinical trial is being ran to see if a new headache medication offers relief for more than 80% of patients. It is found there

ryzh [129]

Answer:

Hence there is a strong probability the true proportion of patients who get relief from headaches while on this medication is greater than 80%.

Step-by-step explanation:

The required truth is " there's strong evidence this medication reached its the goal of quite 80% of patients getting relief. " Because we wanted to check whether the new medication offers relief for quite 80% of patients or not.

7 0

3 years ago

Find the radius of the circle with area of 1217 square feet.

oksian1 [2.3K]

I need to see the work sheet tho! I’ll help you

6 0

3 years ago

Help PlSss there’s people not helping I really need to bring my grades up

USPshnik [31]

Answer:

center: P

Radius: 12cm

# of radii: 5

Diameter: 24cm

# of diameters: 2

Circumference: 75.36cm

Step-by-step explanation:

the center is labeled with the point p

radius is the distance from the center to the circumference of a circle

diameter is the distance from one point on a circle through the center to another point on the circle. (and twice the radius)

circumference is 2(pi)r

pi can be rounded to 3.14

3 0

3 years ago

Compute the second partial derivatives ∂2f ∂x2 , ∂2f ∂x ∂y , ∂2f ∂y ∂x , ∂2f ∂y2 for the following function. f(x, y) = 2xy (x2 +

blsea [12.9K]

Answer with step-by-step explanation:

We are given that a function

$f(x,y)=2xy(x^2+y^2)^2$

Differentiate partially w.r.t x

Then, we get

$\frac{\delta f}{\delta x}=2y(x^2+y^2)^2+8x^2y(x^2+y^2)=(x^2+y^2)(2x^2y+2y^3+8x^2y)=2(5x^2y+y^3)(x^2+y^2)$

Differentiate again w.r.t x

$\frac{\delta^2f}{\delta x^2}=2(10xy)(x^2+y^2)+4x(5x^2y+y^3)=20x^3y+20xy^3+20x^3y+4xy^3=40x^3y+24xy^3$

Differentiate function w.r.t y

$\frac{\delta f}{\delta y}=2x(x^2+y^2)^2+2xy\times 2(x^2+y^2)\times 2y$

$\frac{\delta f}{\delta y}=(x^2+y^2)(2x^3+2xy^2+8xy^2)=2(x^2+y^2)(x^3+5xy^2)$

Again differentiate w.r.t y

$\frac{\delta^2f}{\delta x^2}=2(2y)(x^3+5xy^2)+20xy(x^2+y^2)=4x^3y+20xy^3+20x^3y+20xy^3=24x^3y+40xy^3$

Differentiate partially w.r.t y

$\frac{\delta^2f}{\delta y\delta x}=2(2y(5x^2y+y^3)+(x^2+y^2)(5x^2+3y^2))=10x^4+36x^2y^2+10y^4$

$\frac{\delta^2f}{\delta y\delta x}=10x^4+36x^2y^2+10y^4$ $\frac{\delta^2f}{\delta x\delat y}=2(2x(x^3+5xy^2)+(3x^2+5y^2)(x^2+y^2))=10x^4+36x^2y^2+10y^4$

$\frac{\delta^2f}{\delta x\delat y}=10x^4+36x^2y^2+10y^4$

Hence, if f(x,y) is of class $C^2$ (is twice continuously differentiable), then the mixed partial derivatives are equal.

i.e $\frac{\delta^2f}{\delta y\delta x}=\frac{\delta^2f}{\delta x\delta y}$

8 0

4 years ago

7. 0, 78, 99, 58, 65, 0, 47, 38, 227 Mean Median Mode