Consider the given density curve.

A graph goes from (0, 0) to (5, one-half).

Suppose that the mean value is 3.67. What is the best approximation for the median?

3.2

3.4

3.6

3.8

Picture posted below

Answer:

6.25 litres

Step-by-step explanation:

ratio 1:4

25/4 = 6.25

4 * 6.25 = 25

1 * 6.25 = 6.25

= 6.25 litres of concentrate

Answer:

6.25 litres of juice concentrate

Answer:

D

Step-by-step explanation:

Answer:

567.5

Step-by-step explanation:

it's 567.5. please add me to your followers

Answer:

[tex]x = \frac{y - 1150}{5} [/tex]

Step-by-step explanation:

[tex]y - 1150 = 5x \\ \frac{y - 1150}{5} = x \\ x = \frac{y - 1150}{5} [/tex]

Answer:

22/7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

(30–60)= –30

[‐30÷(–30)]²=1

{1–15}=–14

–14÷(–7)=2

They have no relation, except for the fact that they intersect.

We have given that,

The graphs of the two lines y= -4/5x + 2 and y = - 5/4x - 1/2

If the equations were instead y = +5/4x - 1/2 and

Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a horizontal line which would be 0. The slope of the parallel line is undefined and the slope of the perpendicular line is 0.

y = -4/5x + 2, or

y = +4/5 + 2 and

y = -5/4x -1/2,

Then they would be perpendicular.

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Answer:

1/4 or 0.25

Step-by-step explanation:

The total possibilities of any 7 digit number using 0-9 is :

9×10×10×10×10×10×10=9000000

To work out the total possibilities in this question :

We look at the conditions :

The first digit can only be 5 numbers :

1 , 3 , 5 , 7 , 9

Now we subtract 5 from 9 :

9-5 = 4

Since no repeats for 2 , 3 , 4, 5, 6:

9 , 8 , 7 , 6 , 5,  

5 possibilities for the last digit :

Total possibilities for this code :

4 × 9 × 8 × 7 × 6 × 5 × 5 = 302400

If it begins with 5 that is only 1 possibility for the first digit

1 × 9 × 8 × 7 × 6 × 5 × 5 = 75600

Now we make a fraction :

75600÷302400

Dividing top and bottom by 75600 gives you 1/4 or 0.25

Hope this helped and have a good day

Answer:

Step-by-step explanation:

Comment

The first digit and the last digit are both odd. That tells you that so far what you have is one of 5 digits for the first digit and and one of 4 for the last digit. 4 because you can't repeat the first digit.

5, , , , , ,4

2 digits are gone 8 remain.

5* 8 * 7* 6* 5* 4* 4 = 134400

Part 2

Only one number can go at the beginning, and that is a 5. Everything else remains the same.

1 * 8 * 7 * 6 *5 * 4 * 4 = 26880

P(picking a number beginning with a 5 is  25880 /13440) = 0.2

Answer:

45.5%

Step-by-step explanation:

The increase in population was 45.5%

Answer:

A = 60 ft²

Step-by-step explanation:

the area (A) of the shaded sector is calculated as

A = area of circle × fraction of circle

   = 90 × [tex]\frac{240}{360}[/tex]

   = 90 × [tex]\frac{2}{3}[/tex]

    = 30 × 2

    = 60 ft²

Answer:

58.83 ft^2

Step-by-step explanation:

Finding the radius:

A = πr^2

90 = πr^2

90/π = r^2

28.6 = r^2

5.3 = r

Using the area of a sector of a circle formula:

θ/360 x πr^2

240/360 x π(5.3)^2

= 58.83 ft^2

The rate of change of radius at radius 6cm is 0.79 cm/sec.

The rate of change of a function is simply the derivative of the function with respect to the changing parameter in the function i.e. variable in the function.

So for calculating the rate of change of radius, we calculate the rate of volume change as volume is the function of radius.

As we know volume of the cylinder is given by V=πr²h

where r is the radius and h is the height of the cyclinder.

Given that rate of change of volume = 563 cm/sec

⇒ dV/dt =563 cm/sec

⇒ d(πr²h)/dt =563

taking πh outside the derivative as π and h is constant term

⇒ πh dr²/dt =563

⇒ πh (dr²/dr)(dr/dt)= 563 (applying chain rule dy/dx = (dy/du)(du/dx))

⇒ πh(2r)(dr/dt) =563

⇒dr/dt= 563/(2πhr)

given height of the cylinder h= 19cm

rate of change of radius at radius r =6cm= dr/dt= 563/(2πhr)= 563/(2*π*19*6)= 0.79 cm/sec

Therefore rate of change of radius at radius 6cm is 0.79 cm/sec.

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Part (a)

Decreasing means that as x increases, y decreases.

So the intervals are [tex](-8, -4), (0, 5), (9, \infty)[/tex]

Part (b)

A local minimum is where the function changes from decreasing to increasing.

So, the local minima are at [tex]x=-4, 5[/tex]

Part (c)

The function is approaching negative infinity as x approaches both positive and negative infinity, so the leading coefficient is negative

Part (d)

The degree is given by the number of roots (including multiplicity).

From the graph, we see there is a single root at x = -6, a single root at x = -1, a single root at x = 1, a single root between x=6 and x=8, and a single root at around x = 10.

Thus, there are a minimum of 5 roots for the graph (there could be more outside of the given section)

However, since the graph has the same end behavior in both directions, the degree must be even.

So, the possible answers are any even number that is at least 6

Since we have given that

Measure of revolution = 360°

Now, the measure of [tex]\frac{3}{4}[/tex] of revolution.

So, it becomes,

[tex]\frac{3}{4}[/tex]×360

= 3 × 90

= 270

Hence, the measure of 3/4 of revolution is 270°.

Hope this helped and have a good day

The relative frequency of students who are not seniors at this high school will be 82.96%.

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

P = a/b × 100

A local high school has 1,203 students with 367 freshmen, 382 sophomores, 249 juniors, and 205 seniors.

Then the relative frequency of students who are not seniors at this high school will be

P = 998/1203 × 100

P = 0.82959 × 100

P = 82.959%

P ≈ 82.96%

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Answer:

y = 5x + 11

Step-by-step explanation:

We are given that a line passes through (-2, 1) and also it contains a slope of 5

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y axis

As we are already given the slope, we can immediately substitute it into the formula

Replace m with 5 in y=mx+b:

y = 5x +  b

Now we need to find b

As the equation passes through the point (-2, 1), we can use its values to help solve for b.

Substitute -2 as x and 1 as y:

1 = 5(-2) + b

Multiply

1 = -10 + b

Add 10 to both sides

11 = b

Substitute 11 as b in the equation

y = 5x + 11

Topic: finding the equation of the line

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Answer:

4 (2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Fractions are division problems. :) You have to complete that first to solve the equation (PEMDAS).

48/6 = 8

42 + 8 = 50

Answer:

91 degrees

Step-by-step explanation:

Sum of angles in a quadrilateral: 360 degrees

87, 89, 91, 93 are four consecutive odd numbers that add up to 360

third angle is 91 degrees

Answer:

It is solved on a graph

Step-by-step explanation:

A quadratic graphical solution.

Answer:

he should check

3x and x

1/4 and 0.5

-m and 8m

-xy2 and 2xy2

Step-by-step explanation:

Answer:

The answer is A B C D H

Step-by-step explanation:

Answer:

  arc BC = 75 degrees

Step-by-step explanation:

The angle where chords cross is half the sum of the intercepted arcs. This relation can be used to find x and the angle and arc measures.

__

The angle relation is ...

  1/2((8x +11) +(9x -7)) = (8x +6)

  17x +4 = 16x +12 . . . . . . . multiply by 2 and simplify

  x = 8 . . . . . . . . . . . . . . subtract 16x+4 from both sides

Then the measure of arc BC is ...

  arc BC = 8x+11 = 8(8) +11 = 75 . . . degrees

_____

Additional comment

We can compute the other measures just to make sure they have the desired relationship.

  angle BAC = 8x+6 = 70 . . . degrees

  arc FD = 9x -7 = 65 . . . degrees

Since 70 = (65 +75)/2, these measures work out as expected.

Answer:

x2-4 = 0

x2= 4

x = 2 or x = (-2)

The equations that are true for x = -2 and x = 2 are:

x² - 4 = 0

2(x - 2)² = 0

Options A and D are the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

The values given for x are -2 and 2.

Therefore, we can substitute each value of x into the given equations to determine which are true for those values.

x² - 4 = 0

When x = -2, we have (-2)² - 4 = 0, which is true.

When x = 2, we have (2)² - 4 = 0, which is also true.

x² = -4

When x = -2, we have (-2)² = 4 which is not equal to -4, so this equation is false for x = -2.

When x = 2, we have (2)² = 4 which is not equal to -4, so this equation is false for x = 2.

3x² + 12 = 0

When x = -2, we have 3(-2)² + 12 = 0, which is false.

When x = 2, we have 3(2)² + 12 = 24, which is not equal to 0.

Therefore, this equation is false for x = 2.

14x² = 16

When x = -2, we have 14(-2)² = 56, which is not equal to 16.

Therefore, this equation is false for x = -2.

When x = 2, we have 14(2)² = 56, which is also not equal to 16.

Therefore, this equation is false for x = 2.

2(x-2)² = 0

When x = -2, we have 2(-2-2)² = 0, which is not equal to 0.

Therefore, this equation is false for x = -2.

When x = 2, we have 2(2-2)² = 0, which is equal to 0.

Therefore, this equation is true for x = 2.

Therefore,

The equations that are true for x = -2 and x = 2 are:

x² - 4 = 0

2(x-2)² = 0

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5%3×4+14-15 answers thes questions

Answer:

as ABC = 3* DEF

AB = 5

DE = 15 = 5*3

AC = 3

DF = 9 = 3*3

BC = 4

EF = 12 = 4 * 3

Using proportions, it is found that it would take 55 hours for him to make $720.50.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

He is paid $524 for a 40 hour work week, hence per hour he earns?

r = 524/40 = $13.1.

The amount of hours he would need to make $720.50 is given by:

h = 720.50/13.1 = 55.

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Explanation:

Equation: x + 1 = 9

Solving Steps:

x + 1 = 9                 (subtract both sides by 1)

x + 1 - 1 = 9 - 1        (simplify the following)

x = 8

Then check for solution:

x + 1 = 9

                         [insert x = 8]

8 + 1 = 9

9  =  9

As both sides are equal, the statement is true.

[tex]\large\underline{ \cal{SOLUTION:}}[/tex]

[tex] \large \bold{x + 1 = 9}[/tex]

[tex] \large \bold{x = 9 - 1}[/tex]

[tex] \large \bold{x = \red{8}}[/tex]

[tex] \: [/tex]

[tex]\large\underline{ \cal{CHECKING:}}[/tex]

[tex] \large{ \bold{ \underline{ \red{8} }+ 1 = 9}}[/tex]

[tex] \large \bold{-N} \frak{unx-}[/tex]

The correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11

The correct question is as given below:-

Need help ASAP. Choose the expression that represents a cubic expression.

a. 2x + 11

b . −3x² − 2x + 11

c . 4x³ − 3x² − 2x + 11

d . 5x⁴ + 4x³ − 3x² − 2x + 11

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The polynomial having a degree of three is called the cubic polynomial which means that the maximum power of the polynomial will be three and the solutions will also be three.

Here in the option, we can see that the maximum power of the polynomial is three and it will have a maximum of three solutions.

The third-degree expression will be:-

E = 4x³ − 3x² − 2x + 11

Therefore the correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11

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Answer:

[tex]\huge\boxed{\sf 14\ ft}[/tex]

Step-by-step explanation:

Yard sticks = 4

12-inch rulers = 2

All are placed end to end.

We know that,

1 yard = 3 feet

4 yards = 3 × 4 feet

4 yards = 12 feet

We know that:

1 inch = 0.083 feet

24 inch = 0.083 × 24 feet

24 inch = 2 feet

= 4 yardsticks + 2 12-inch rules

= 12 ft + 2 ft

= 14 ft

[tex]\rule[225]{225}{2}[/tex]

She did 21 question correctly.

Let number of correct answers : x

Let number of wrong answer : y

Given, Total question wrote : 30

So,  

      x + y = 30          (i) - equation

Got 8 point on each correct answer, total point : 8*x

Got -2 point on each wrong answer, total point : (-2)*y

Total point she score was : 150          (given)

so, our next equation is

                                      8*x - 2*y = 150       (ii) - equation

                                      y = 30 - x            [from (i) - equation]

put in (ii) - equation, we get

                                    8*x - 2*(30 - x) = 150

                                    8*x - 60 + 2*x = 150

                                    10*x = 210

                                       x = 21

Therefor, only 21 answers are correct.

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Probability helps us to know the chances of an event occurring. The correct option is A.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Dependent events are those events in which the outcome of the first event affects the outcome of the second event. The statement that is correct about the dependent event is that the probability of all dependent events can be calculated using the "OR" formula P(A+B) =P(A) +P(B)-P(A and B).

Hence, the correct option is A.

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Answer:

y = 3x - 5

Step-by-step explanation:

y = mx + b

y - b = mx

-b = mx - y

b = -mx + y

b = -3(1) -2

b = -5