The time (X) to complete a standardized exam is approximately normal with a mean of 70 minutes and standard deviation of 10 minutes. How much time should be given to complete the exam so that 80% of the students will complete the exam in the time given?

Answer:

x =  1/ 10 y +  −3 /10

Step-by-step explanation:

Let's solve for x.

y = 10x + 3

Step 1: Flip the equation.

10x + 3 = y

Step 2: Add -3 to both sides.

10x + 3 + −3 = y + −3

10x = y −3

Step 3: Divide both sides by 10.

10/10x  =  y −3/ 10

x =  1 /10 y +  −3 /10

Therefore the answer is

x =  1/ 10 y +  −3 /10

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Answer:  x=-5  x=2

Step-by-step explanation:

x^2+5x-2x-10=0  factor out x from the expression

Xx(x+5)-2x-10=0   factor out x+5 from the expression

(x+5)x(x-2)=0 when the product of factors equals 0, at least one factor is 0

x+5=0   solve for the equation x

x-2=0

       x=-5

      x=2

Answer:

B

Step-by-step explanation:

The basket is a base price of 5 dollars so there is no x, the basket can't go up in price nor down.

The cookies can though, you can either buy 1 or you can buy 50. Your final answer must be 31.

2x + 5 = 31  

     - 5    -5

2x = 26

÷2 .  ÷2

x = 13  

Answer:

[tex]V'(8)=192\text{ cm}^2[/tex]

Step-by-step explanation:

We have the volume of a cylinder:

[tex]V=s^3[/tex]

To find the rate of change of the volume with respect to s, we will take the derivative of both sides with respect to s. So:

[tex]\frac{d}{ds}[V]=\frac{d}{ds}[s^3][/tex]

Differentiate. Use the power rule:

[tex]V'(s)=3s^2[/tex]

So, to find the rate of change of the volume when s is 8 centimeters, substitute 8 for s:

[tex]V'(8)=3(8)^2[/tex]

Evaluate:

[tex]V'(8)=192\text{ cm}^2[/tex]

Answer:

15x + 12y ≥ 3000

Step-by-step explanation:

Let

Number of floor seats tickets sold = x

Number of balcony seats tickets sold = y

Cost of floor tickets = $15

Cost of balcony tickets = $12

They want to make at least $3,000 in ticket sales.

At least in inequality means ≥

The inequality that represent the situation is

15x + 12y ≥ 3000

Answer:

:)

Step-by-step explanation:

15x + 12y ≥ 3000

Number of floor seats tickets sold = x

Number of balcony seats tickets sold = y

Cost of floor tickets = $15

Cost of balcony tickets = $12

They want to make at least $3,000 in ticket sales.

At least in inequality means ≥

The inequality that represent the situation is  15x + 12y ≥ 3000

About the only thing you can do with it is divide both sides by 4.

Then you have

2y - x = -14

Answer:

44 km converte to miles is 27.3403.

Answer:

27,5 miles

Step-by-step explanation:

sooo, you need to see how many Miles Is 1km..

5:8= 0,625

So when we know 0,625 mile = 1km then

44x0,625 = 27,5

And the result is 27,5 miles

Answer: James is right

Step-by-step explanation:

Since they average $685 a day for the month. This means for the month, they'll make:

= $685 × 30

= $20,550

Approximating $20,550 will give $21000 and since James used rounding and estimation to say, "$685 is almost $700 and $700 × 30 days is $21,000. James is quite correct.

Answer:

360=297+(x-36)+25

360=297+25-36+x

360=286+x

360-286=x

74=x

Answer:

x = 74 degree

Step-by-step explanation:

All those angles must add up to 360 degrees:

360 degrees  =  (297 + x - 36 + 25) deg, or

360 = 297 - 36 + 25 + x, or

x = 74 degrees

Answer:

Profit = $18.8 per meal

Step-by-step explanation:

Chef ordered beef = 4 pounds

Cost of beef = $3.25 per pound

Total cost of beef = 4 × 3.25 = $13

Amount of potatoes ordered = 6 pounds

Cost of potatoes = $1.96 per pound

Total cost of potatoes = 6 × 1.96

                                     = $11.76  

Amount of carrots ordered = 5 pounds

Cost of carrots = $1.81 per pound

Total cost of carrots = 5 × 1.81 = $9.05

Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05

                                                                        = $33.81

Number of meals prepared with material purchased = 28

Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075

Selling price of one meal = $20

Profit per meal = Selling price - Cost price

                         = 20 - 1.2075

                         = 18.7925

                         ≈ $18.8

Therefore, he will make $18.8 for each meal.

Answer:

155 bead to create 5 necklace therefore for 9 bead we should divide 155 by 5 and multiply the answer by 9

=155/5*9

=31*9

=279

Answer:

y=7x+4

Step-by-step explanation:

Values of x and y satisfy the equation y=7x+4

Answer:

It is NOT c

Step-by-step explanation:

I clicked c and it was wrong lol.

Answer:

its D

Hope this helps ⊂◉‿◉つ

Answer:

Step-by-step explanation:

The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is

[tex]\hat y =1.7 +1.48t[/tex]

Weight of the kitten after 10 weeks

[tex]\hat y =1.7 +1.48\times 10[/tex]

[tex]\hat y =16.5[/tex] pounds

This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.

Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.

Hence, the weight of the kitten after 10 weeks is 16.5 pounds.

Answer:

5

Step-by-step explanation:

Given that:

Weight of package delivered = 100 - 120 pounds

Number of packages carried per trip is atleast 10 = ≥ 10

Total weight of packages must be at most 1,100 ≤1,100

The maximum number of 120 pound packages the helicopter can carry:

Maximum capacity = 1100 pounds

Number of packages ≥ 10

Let number of 110 packages carried = x

Number of 120 packages carried = y

x + y ≥ 10 - - (1)

100x + 120y ≤ 1100 - - - (2)

From (1): x ≥ 10 - y

100(10 - y) + 120y ≤ 1100

1000 - 100y + 120y ≤ 1100

1000 + 20y ≤ 1100

20y ≤ 1100 - 1000

20y ≤ 100

y = 5

y = number of 120 pound packages carried

y = 5

Answer:

5

Step-by-step explanation:

Let

x = number of 100 pound packages

y = number of 120 pound packages.

For each delivery trip, the helicopter must carry at least 10 packages.

x + y ≥ 10

x ≥ 10 - y

Total weight of the packages the helicopter can deliver can be at most 1,100 pounds

100x + 120y ≤ 1100

Divide through by 20

5x + 6y ≤ 55

Substitute x ≥ 10 - y into the equation

5(10 - y ) + 6y ≤ 55

50 - 5y + 6y ≤ 55

y ≤ 55 - 50

y ≤ 5

Therefore, the maximum number of 120 pound packages helicopter can carry is 5.

Answer:

5

Step-by-step explanation:

-5x =25x      

-5 -5

you divide both sides by -5

and you get x=5

hunn please click thanks button

Answer:

No.

Step-by-step explanation:

A graph must pass the Vertical Line Test in order to be a function. Since this graph doesn't pass the test, it is not a function.

However, this graph is a conic, specifically a hyperbola.

Answer:

b

Step-by-step explanation:

Answer:

C. 0.5 times 1 = 0.5

$.40

Step-by-step explanation:

if you want the full one it's .415

Answer:

Step-by-step explanation:

Refer the attached picture for complete question

a) V(x)=x(11-2x)(17-2x)

B(x)=140

Side and volume cannot be negative

So, x> 0

11-2x>0   and 17-2x>0

[tex]x<\frac{11}{2}[/tex] and [tex]x< \frac{17}{2}[/tex]

Domain for V(x) :[tex]0<x<\frac{11}{2}[/tex]

b)For finding the greatest Volume

[tex]\frac{dV}{dx}=0[/tex]

[tex]V(x)=x(11-2x)(17-2x)=4x^3-56x^2+187x[/tex]

[tex]\frac{dV}{dx}=12x^2-112x+187=0\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{112\pm\sqrt{(112)^2-4(12)(187)}}{2(12)}[/tex]

x=7.155 , 2.177

Consider the graph

So, Volume at 7.155 is negative

Thus x≈2 gives the greatest volume

c)

Consider the graph .

It is increasing from [tex]-1 \leq x \leq 2[/tex] and [tex]x \geq 7[/tex]

So, Graph increasing interval is [-1,2] ∪[7,∞)

d)

At the point of intersection, both graph has the same value .

Answer:

Step-by-step explanation:

y + 140 = 180       {linear pair}

        y = 180 - 140

        y = 40

If any pair of exterior angles are congruent , then the lines  r and s will be parallel

5x - 5 = 40

     5x = 40 + 5

     5x = 45

       x = 45/5

x = 9

The value of x = 9  will make lines r and s parallel.

Answer:

y = 4x - 4

Step-by-step explanation:

first, find the slope:

y2 - y1/ x2 -x1

8 - 0/ 3 - 1 = 4

no plug in your slope and one of the points to find the b:

y = mx+b

0 = 4 (1) + b

b= -4

so

y = 4x - 4

Answer:

i think it is 300%

Step-by-step explanation:

She earns if she does not make any sales on a given day $0.

We have given that,

A salesperson earns 25% of her total sales in addition to base pay. The graph below represents her total pay for a given day.

We have to determine what she earns if she does not make any sales on a given day.

The line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges of G.

From the observation of the graph, we can say that she earns if she does not make any sales on a given day none.

Therefore option A is correct.

she earns if she does not make any sales on a given day $0.

To learn more about the linear graph visit:

https://brainly.com/question/4025726

#SPJ2

Answer:

34

Step-by-step explanation:

Plugin 12 for x

f(12)=4+2.5(12)

2.5 times 12=30

30+4=34

Answer:

$38.47

Step-by-step explanation:

i did the math on it

Answer:

[tex]1.45x+0.65y\leq 200[/tex]

Here, [tex]x[/tex] denotes the number of roses used for a school celebration and [tex]y[/tex] denotes the number of carnations used for a school celebration.

Step-by-step explanation:

Let [tex]x[/tex] denotes the number of roses used for a school celebration and [tex]y[/tex] denotes the number of carnations used for a school celebration.

Cost of 1 rose = $1.45

Cost of [tex]x[/tex] roses = [tex]\$1.45x[/tex]

Cost of 1 carnation = $0.65

Cost of [tex]y[/tex] roses = [tex]\$0.65y[/tex]

Total cost spend on flowers = [tex]1.45x+0.65y[/tex]

Total amount with Jaida = $200

So,

the inequality to represent the cost constraint is [tex]1.45x+0.65y\leq 200[/tex]

Answer:13.D      14.C

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The rectangle bleow has an area of [tex]8x^{5}+12x^{3}+20x^{2}[/tex]. The width of the rectangle is equal to the greatest common monomial factor of [tex]8x^{5},12x^{3},20x^{2}[/tex]. What is the length and width of the rectangle?

Answer: width = [tex]4x^{2}[/tex]

              length = [tex]2x^{3}+3x+5[/tex]

Step-by-step explanation: Greatest common factor is the largest number that will divide into that number without rest, i.e., it's a number that will result in an exact division. The same can be applied to a polynomial.

To find the greatest common factor:

1) Write each in prime factored form:

2.2.2.x.x.x.x.x + 2.2.3.x.x.x + 2.2.5.x.x

2) Identify the common factor among the terms:

For this polynomial, the repetitive factor is [tex]4x^{2}[/tex]

Therefore, the width of the rectangle is:

w = [tex]4x^{2}[/tex]

Area of a rectangle is the multiplication of width and length, so:

[tex]A=w*l\\l=\frac{A}{w}[/tex]

To calculate length, we will have to divide polynomials:

[tex]l=\frac{8x^{5}+12x^{3}+20x^{2}}{4x^{2}}[/tex]

[tex]l = 2x^{3}+3x+5[/tex]

Width and length of the rectangle are 4x² and [tex]2x^{3}+3x+5[/tex], respectively.