The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 30 hours and the median is 26.2 hours. Twenty-four of the families in the sample turned on the television for 15 hours or less for the week. The 11th percentile of the data is 15 hours. Step 4 of 5 : What is the value of the 50th percentile?

9514 1404 393

Answer:

Step-by-step explanation:

It should be no stretch to understand that "increases" means the function is a growth function (+ sign), and "decreases" means the function is a decay function (- sign).

The multiplier in front (a) is the initial value — the value when t=0.

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

1500(0.04)(3)

in any calcoulater you will get the awnser

Answer:

honestly, this happened to me so i clear my cache and cookies and deleted my search history and it worked

to clear cache and cookies (for chrome) go to the top right of your bookmarks bar.

there will be three tiny dots going vertical(up and down)

click on it

there will be a dropdown menu

the third to the bottom will say settings

click that

then when you are i settings, click on advanced dropdown menu(it will be on the left hand side of the screen towards the bottom)

press restore settings to their original defaults

all your cookies and cache will be deleted

your extensions will be deactivated(but not deleted dont worry)

restart your computer and then go to your history and delete everything

restart chrome and you shoul be good

Answer:

p = 45 - 2.5f

Step-by-step explanation:

5f + 2p = 90

just manipulate the equation, treat it like a regular algebra equation and solve for p by inverse operations and simplifying

5f + 2p = 90

-5f           -5f

2p = 90 - 5f

/2       /2

p = \(\frac{90 -5f}{2}\)

p = 45 - 2.5f

Answer:

0 = 0 = 0 = 0 = 0 < 1 < 6 < 7

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7

0/

1

= 0/

1

= 0/

1

= 0/

1

= 0/

1

< 1/

1

< 6/

1

< 7/

1

Step-by-step explanation:

Answer:

the correct answer is (1, 7)

Step-by-step explanation:

The probability that a truck drives between 122 and 127 miles in a day is 0.0165, rounded to four decimal places.

To find the probability that a truck drives between 122 and 127 miles in a day, we'll use the z-score formula and standard normal distribution table. Follow these steps:

Step 1: Calculate the z-scores for 122 and 127 miles.
z = (X - μ) / σ

For 122 miles:
z1 = (122 - 90) / 18
z1 = 32 / 18
z1 ≈ 1.78

For 127 miles:
z2 = (127 - 90) / 18
z2 = 37 / 18
z2 ≈ 2.06

Step 2: Use the standard normal distribution table to find the probabilities for z1 and z2.
P(z1) ≈ 0.9625
P(z2) ≈ 0.9803

Step 3: Calculate the probability of a truck driving between 122 and 127 miles.
P(122 ≤ X ≤ 127) = P(z2) - P(z1)
P(122 ≤ X ≤ 127) = 0.9803 - 0.9625
P(122 ≤ X ≤ 127) ≈ 0.0178

So, the probability that a truck drives between 122 and 127 miles in a day is approximately 0.0178 or 1.78%.

to learn more about probability click here:

https://brainly.com/question/13604758

#SPJ11

The volume of the composite solid is 132.65 \(m^3\)

A composite solid's volume is the total amount of space it takes up. It is computed either by disassembling it into simpler shapes or by adding up the volume of each of its constituent parts. Adding or subtracting volumes of various geometric shapes may be part of the calculation process, which depends on the solid's specific composition.

Each component's volume can be calculated using the volume formulas for simple shapes like cubes, spheres, cylinders, and cones, and the overall volume of the composite solid can then be calculated.

To find the volume of the composite solid:
1. Identify the shape of the solid: Since all three dimensions (5.1m, 5.1m, and 5.1m) are equal, this is a cube.
2. Calculate the volume: The formula for the volume of a cube is V = \(side^3\)3, where "side" is the length of one side.
3. Plug in the dimensions: V = \((5.1m)^3\)= 5.1m * 5.1m * 5.1m =\(132.651m^3\).
4. Round to the nearest hundredth: The volume rounded to the nearest hundredth is \(132.65 m^3\).

So, the volume of the composite solid is \(132.65 m^3\).

Learn more about volume here:

https://brainly.com/question/23755595

#SPJ11

The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

Learn more about inequalities here: brainly.com/question/24372553

#SPJ4

(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x

(b) The domain of V in interval notation is 0<x<5,

(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773

(d) The maximum volume of the box is 192.421 cm^2.

In the given question,

A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.

(a) We have to express the volume V of the box as a function of x.

If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.

So V = x(10-2x) (20-2x)

V = x(10(20-2x)-2x(20-2x))

V = x(200-20x-40x+4x^2)

V = x ( 200 - 60 x + 4x^2)

V = 4x^3-60x^2+200x

(b) Now we have to give the domain of V in interval notation.

Since the lengths must all be positive,

10-2x > 0 ≥ x < 5 and x> 0

So 0 < x < 5

(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.

We take the derivative of V:

V'(x) = 12x^2-120x+200

Taking V'(x)=0

0 = 4 (3x^2-30x+50)

3x^2-30x+50=0

Now using the quadratic formula:

x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

From the equationl a=3, b=-30, c=50

Putting the value

x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)

x= \(\frac{30\pm\sqrt{900-600}}{6}\)

x= \(\frac{30\pm\sqrt{300}}{6}\)

x= \(\frac{30\pm17.321}{6}\)

Since x<5,

So x= \(\frac{30-17.321}{6}\)

x= 2.113

So H = 2.113, W = 5.773, L= 15.773.

d) Now we have to find the maximum volume of the box.

V = HWL

V= 2.113*5.773*15.773

V = 192.421 cm^3

To learn more about volume of rectangle link is here

brainly.com/question/13798973

#SPJ4

Answer: The perimeter of a two-dimensional shape is the distance around the shape. It is found by adding up all the sides (as long as they are all the same unit). The area of a two-dimensional shape is found by counting the number of squares that cover the shape.

Step-by-step explanation:

The first-order necessary conditions for the given NLP problem involve the KKT conditions, and a specific solution satisfying these conditions needs further analysis.

(a) The first-order necessary conditions for constrained optimization problems are defined by the KKT conditions. These conditions require that the gradient of the objective function be orthogonal to the feasible region, the constraints be satisfied, and the Lagrange multipliers be non-negative.

(b) Assuming the first Lagrangian multiplier constraint is active means that it holds with equality, while the second one is inactive implies that it does not affect the solution. By incorporating these assumptions into the KKT conditions and solving the resulting equations along with the given constraints, a solution can be obtained.

(c) To determine if the solution satisfies the first-order necessary conditions, one needs to verify if the obtained values satisfy the KKT conditions. This involves checking if the gradient of the objective function is orthogonal to the feasible region, if the constraints are satisfied, and if the Lagrange multipliers are non-negative. Only by performing this analysis can it be determined if the solution satisfies the first-order necessary conditions.

Learn more about  solution here:

https://brainly.com/question/28221626

#SPJ11

The first partial derivatives of z are:
∂z/∂x = -22x / (10z)
∂z/∂y = -4y / (10z)

To find the first partial derivatives of z with respect to x and y in equation 11x^2 + 2y^2 + 5z^2 = 4, we will differentiate the equation implicitly with respect to x and y.

First, let's find ∂z/∂x:
Differentiate both sides of the equation with respect to x:
22x + 0 + 10z(∂z/∂x) = 0
Now, solve for ∂z/∂x:
10z(∂z/∂x) = -22x
∂z/∂x = -22x / (10z)

Next, let's find ∂z/∂y:
Differentiate both sides of the equation with respect to y:
0 + 4y + 10z(∂z/∂y) = 0
Now, solve for ∂z/∂y:
10z(∂z/∂y) = -4y
∂z/∂y = -4y / (10z)

So, the first partial derivatives of z are:
∂z/∂x = -22x / (10z)
∂z/∂y = -4y / (10z)

Learn more about the first partial derivatives: https://brainly.com/question/30217886

#SPJ11

Answer:

32%

Step-by-step explanation:

The equation that can be used to find the distances from the left end of the wall to the edges of the painting is x = 12 - 5/2 × 10.

The painting is centered on the wall, so the distance from the left end of the wall to the center of the painting is 12 feet. The painting is 10 feet wide, so the distance from the center of the painting to each edge is 5 feet. Therefore, the distance from the left end of the wall to each edge of the painting is 12 feet - 5 feet = 7 feet.

The equation x = 12 - 5/2 × 10 can be used to calculate this distance. The variable x represents the distance from the left end of the wall to the edge of the painting, 12 represents the distance from the left end of the wall to the center of the painting, and 5/2 × 10 represents the distance from the center of the painting to the edge of the painting.

The other equations listed are not correct because they do not take into account the fact that the painting is centered on the wall. The equation x = 10 would be correct if the painting were placed flush against the left end of the wall. The equation x = 24 - 10 would be correct if the painting were placed flush against the right end of the wall.

Learn more about distances here:

brainly.com/question/15172156

#SPJ11

Answer:

w = 4

x = 3

y = -2

z = 5

Step-by-step explanation:

You can see how I got the answer on the pic that I gave

Answer:

8

Step-by-step explanation:

I'm using this equation: a^2+b^2=c^2

x^2+6^2=10^2

x^2+36+100

x^2= 64

x=sqrt64

x=8

Answer:

<A= 92

<C=88

<H= 92

Step-by-step explanation:

Angle <E is equal to <H because they are vertical angles.

Angle <E is equal to <A because they are corresponding angles.

Angle <E and <C are supplementary because they are interior angles on the same side of a transversal, 180-92=88

Answer: J

Step-by-step explanation:

\(log_2 24 - log_2 3 = log_2 (24/3) = log_2 8 = 3\)

So \(log_5 x = 3 -> x=125\)

Answer:

Step-by-step explanation:

See image

Answer:

m = 8 / -2 = 4 / -1 = -4

Step-by-step explanation:

Answer:

it's the first one

Step-by-step explanation:

I got it right on edge

The requried, expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.

In order to remove pointless terms, factors, or operations from an expression, arithmetic, and algebraic principles are applied. The objective is to get an expression that is simpler to use, manipulate, or solve. For instance, factoring, merging like terms, or applying the distributive property can all be used to simplify an algebraic statement.

Here,
Given expression,
= (3x³y⁻²)²

To find the solution of the above expression given value of x and y,
= (3(-2)³(3)⁻²)²
= (3²(-2)⁶/3⁴)

Thus, the required expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.

Find out more about simplification by visiting this link: brainly.com/question/12501526
#SPJ7

Answer:  1/9 of a mile per hour

=========================================================

Explanation:

6 & 3/4 = 6 + 3/4 = 24/4 + 3/4 = (24+3)/4 = 27/4

The work crew paves 3/4 of a mile in 27/4 hours. Divide those two fractions:

(3/4) divide (27/4)

(3/4) times (4/27)

(3*4)/(4*27)

3/27

1/9

The unit rate is 1/9 of a mile per hour. In other words, for each hour, they are able to pave 1/9 of a mile on average. So we should expect it takes about 9 hours to pave a full mile.

The correct answer is  your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

To determine the annual deposit your friend needs to make for her retirement fund, we'll calculate the present value of the desired withdrawals during retirement and then solve for the equal annual deposit.

Step 1: Calculate the present value of the withdrawals during retirement

Using the formula for the present value of an annuity, we'll calculate the present value of the $250,000 withdrawals per year for 20 years after retirement.

\(PV = CF * [1 - (1 + r)^(-n)] / r\)

Where:

PV = Present value

CF = Cash flow per period ($250,000)

r = Rate of return after retirement (5%)

n = Number of periods (20)

Plugging in the values, we get:

PV = $250,000 * \([1 - (1 + 0.05)^(-20)] / 0.05\)

PV ≈ $2,791,209.96

Step 2: Calculate the equal annual deposit before retirement

Using the formula for the future value of an ordinary annuity, we'll calculate the equal annual deposit your friend needs to make from her 26th birthday to her 65th birthday.

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV = Future value (PV calculated in Step 1)

P = Payment (annual deposit)

r = Rate of return before retirement (8%)

n = Number of periods (40)

Plugging in the values, we get:

$2,791,209.96 = \(P * [(1 + 0.08)^40 - 1] / 0.08\)

Now, we solve for P:P ≈ $13,334.45

Therefore, your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

Learn more about compound interest here:

https://brainly.com/question/24274034

#SPJ11

Answer:

-0.375

Step-by-step explanation:

you just divide the numbers.

The inner fences for a set of 11 scores, as given in the question, are 15.0 and 130.0.

The lower inner fence is found by subtracting 1.5 times the interquartile range (IQR) from the lower quartile (Q1), and the upper inner fence is found by adding 1.5 times the IQR to the upper quartile (Q3). The IQR is the difference between Q3 and Q1.

In this case, the given scores are 68, 74, 66, 37, 52, 71, 90, 65, 76, 73, and 22. To find the inner fences, we first need to calculate Q1 and Q3. After sorting the scores in ascending order, we find that Q1 is 52 and Q3 is 74. The IQR is then calculated as Q3 - Q1, which gives us 22.

Finally, we can calculate the lower inner fence by subtracting 1.5 times the IQR from Q1: 52 - (1.5 * 22) = 15.0. Similarly, the upper inner fence is found by adding 1.5 times the IQR to Q3: 74 + (1.5 * 22) = 130.0.

Therefore, the inner fences for the given set of scores are 15.0 and 130.0. These values can be used to identify potential outliers in the data.

Learn more about Interquartile here

https://brainly.com/question/29173399

#SPJ11

The radial road is longer than the straight line by approximately 0.154 m. Therefore, the required answer is 0.154 m.

Given: AO = BO, ∠AOB = 60°,  and AB is joined by straight road ACB and radial road AB.

To Find: By how much radial road AB is longer than the straight line?

Let's construct the diagram below, In triangle AOB, using the sine rule:

AB / sin ∠ABO = BO / sin ∠BAO, AB / sin 60° = BO / sin 60° => AB = BO ...(i)

Let AC = BC = x m ∴ AB = 2x m (Since ∠AOC = ∠BOC = 60°)

In triangle ABC, using the cosine rule:AB² = AC² + BC² - 2ACBC cos ∠CAB(2x)² = x² + x² - 2(x)(x)(cos 120°)4x² = 2x² + x² + 2(x² )∴ x² = 2x² / 3 => x = (2 / √3)x

Let AD be the perpendicular distance of C from AB.

Then, AD = (x)sin 60° = (x√3 / 2) m And BD = (x)sin 30° = (x / 2) m

Thus, AB = AD + BD = (x√3 / 2) + (x / 2) = (2x + x√3) / 2From eq. (i), we have BO = 2x m

Therefore, radial road ACB is longer than straight line AB by = ACB - AB= (2x + x√3) / 2 - 2x= x(√3 - 2) / 2= [2 / √3]× [√3 - 2]≈ 0.154 m

Learn more about sine:

https://brainly.com/question/30162646

#SPJ11