the mean life of a television set is 135135 months with a standard deviation of 1818 months. if a sample of 9898 televisions is randomly selected, what is the probability that the sample mean would differ from the true mean by greater than 3.43.4 months? round your answer to four decimal places.

The percent decrease in capacity for a 12-Volt battery which had a capacity of 30 ampere-hour aging and has dropped to a capacity of 24 ampere-hours is 20%.

It is a product of the current that is drawn from the battery while the battery is able to supply the load until its voltage is dropped to lower than a certain value for each cell.

How to calculate the percent decrease of the battery capacity?
Original capacity = 30 ampere-hour

dropped capacity = 24 ampere-hour

% decrease = (original capacity - dropped capacity) / original capacity

= (30-24) / 30

= 0.2 * 100

= 20% decrease capacity.

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Answer:

лдшзщщго

Step-by-step explanation:

Answer: 20x^2 -10x-30

Step-by-step explanation:

Answer:

Natalie is 15 and Fred is 24.

Step-by-step explanation:

Let n = Natalie's age

Let f = Fred's age

n + f = 39

4n + f = 84 ⇒ multiply by -1 ⇒ -4n -f = -84

-4n - f = -84

  n + f = 39

-3n      = -45  Divide both sides by -3

n = 15

Natalie is 15.

Substitute 15 for n to solve for Fred's age:

n + f = 39

15 + f = 39  Subtract 15 from both sides

f = 24

Fred is 24.

Answer:

8 inches

Step-by-step explanation:

Length = 36 in

Ratio = 2:7

Small piece:

Answer:

A

Step-by-step explanation:

y = (1/4)x - 7

slope = 1/4

So, the slope of the perpendicular line  = -1/m = -1 ÷ (1/4)

                                                                 = -1 * (4/1) = -4

(-2 , -6)

y - y1 = m(x -x1)

y - [-6] = -4(x - [-2])

y + 6 = -4(x + 2)

Answer:

a

Step-by-step explanation:

give the other dude brainlest and have fantastic day and great life

Answer:

y=1

Step-by-step explanation:

we can find what w is equal to first

2w=8

/2. /2

w=4

Now we fill in w to find y

4=4y

/4. /4

1=y

Hopes this helps please mark beainliest

the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

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Cone volume is calculated using the method V=1/3hr2.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares.

The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.

Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.

Hence , Cone volume is calculated using the method V=1/3hr2.

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Complete question-

An ice cream shop is designing a new cone the height h in centimeters and the radius r in centimeters. How to calculate the volume of the cone.?

The horizontal distance between the base of the ladder and the wall is approximately 16.06 feet.

To find the flat distance between the foundation of the  stool and the wall, we utilize geometry. For this situation, we can utilize the sine capability, which relates the contrary side of a right triangle to the hypotenuse and the point inverse the contrary side.

Let x be the flat distance between the foundation of the stepping stool and the wall. Then, utilizing the given point of 64 degrees, we can compose:

sin(64) = inverse/hypotenuse

where the hypotenuse is the length of the stepping stool, which is 18 feet.

Addressing for the contrary side, which is the even distance we need to find, we get:

inverse = sin(64) x hypotenuse

inverse = sin(64) x 18

inverse = 16.06 feet

Accordingly, the even distance between the foundation of the stepping stool and the wall is roughly 16.06 feet.

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Answer:

15 1/2

Step-by-step explanation:

hope this helped

The polynomial equation representing the situation is 4x² + 56x = 93  .

In the question ,

it is given that

the length of the rectangular garden is = 16 feet

the width of the rectangular garden is = 12 feet

we have to surround the border by mulch ,

the width of the border with mulch is = x

So the new length with mulch = 16 + x + x = 16 + 2x

and the new width with mulch is = 12 + x + x = 12 + 2x

also given that the area of garden plus border is = 285 square feet

we know that the area is = length × width

On substituting the values length and breadth , we get

285 = (16 + 2x)×(12 + 2x)

285 = 192 + 32x + 24x + 4x²

4x² + 56x + 192 = 285

4x² + 56x = 285 - 192

4x² + 56x = 93

Therefore , The polynomial equation representing the situation is 4x² + 56x = 93  .

The given question is incomplete , the complete question is

Garden a rectangular garden is 12 feet across and 16 feet long. it is surrounded by a border of mulch that is a uniform width x. the maximum area for the garden, plus border, is 285square feet . Write a polynomial equation to represent the situation ?

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To find the distribution of X, we consider the complement event. The expected value of X can be calculated by summing the product of each possible value of X and its corresponding probability.

The distribution of X, the number of typos caught by at least one of the proofreaders, can be found by considering the complement event of X, which is the event that none of the proofreaders catch a typo. The probability of both A and B missing a typo is (1 - p1) * (1 - p2). Since the proofreaders work independently, the probability of the complement event is (1 - p1) * (1 - p2)^n. Therefore, the probability distribution of X is given by P(X = k) = 1 - (1 - p1) * (1 - p2)^n for k = 0, 1, 2, ..., n.

The expected value of X can be calculated as E(X) = ∑(k * P(X = k)), where the summation is over all possible values of k. Using the probability distribution obtained in part (a), we can substitute the values of k and P(X= k) into the summation to find the expected value.

Assuming p1 = p2 = p, the conditional distribution of X1 given X1 + X2 = m can be found using the concept of the hypergeometric distribution. In this case, we have a population of n typos, and we want to find the distribution of catching X1 typos by A, given that a total of m typos are caught by both proofreaders. The conditional distribution can be calculated as P(X1 = k | X1 + X2 = m) = C(m, k) * C(n - m, X1 - k) / C(n, X1), where C(a, b) denotes the number of combinations of selecting b items from a.

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Step-by-step explanation:

Hey there!!

I hope you remember that mid-segment theorem, in which it is stated that, line which passes through the midpoint of one side triangle bisects base, are parallel to another side of triangle and that line is half of parallel side. (i.e CB = 1/2 of RT) .

Now, Let's simply solve it.

\(cb = \frac{1}{2} \times rt\)

Put their values as given in question.

\(x + 19 = \frac{1}{2} \times (x + 29)\)

Simplify them.

2x + 38 = x +29

2x - x = 29 - 38

x = -9.

Hope it helps...

Answer: 13 : 37

Step-by-step explanation:

The possible number of distinct complex roots for a third-degree polynomial function are 0, 1, 2, or 3, making option (B) the correct answer.

A polynomial function of degree n can have at most n distinct roots. For a third-degree polynomial, n=3, so it can have at most 3 roots.

Complex roots of a polynomial come in conjugate pairs. So if a third-degree polynomial has one real root, then the other two roots must be a conjugate pair of complex roots. If the polynomial has two real roots, then the third root must be a complex root that is not real.

Therefore, the possible number of distinct complex roots for a third-degree polynomial function is 0, 1, 2, or 3, making option (B) the correct answer.

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Answer: 19/28

Step-by-step explanation:

3/7 + 1/4

Find the LCM for 7 and 4

12/28 + 7/28 = 19/28

Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)

Answer:

B is the correct answer

Step-by-step explanation:

All rhombi are parallelograms

Q6)which of the following is not true?

The quadratic equation does not have solutions where both x and y are integers.

Here we have the following quadratic equation:

2x^2 + 5y^2 = 14

We want to check that we can't solve this equation with x and y integers, to see that, we can start by isolating one of the variables:

2x^2 + 5y^2 = 14

5y^2 = 14 - 2x^2

y^2 = (14 - 2x^2)/5

y = ±√((14 - 2x^2)/5)

Now, trivially:

(14 - 2x^2)/5

Is not an integer for any integer value of x, and this happens because 5 is not a factor of 14, thus, for any integer value of x the value of y that we get is non integer, then there aren't two integers that solve the quadratic equation.

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important to know the size of the freshman classes in relation to the population size before using z-procedures in this situation, so the answer will be option C

In statistical inference, when using z-procedures such as hypothesis testing or constructing confidence intervals, one of the assumptions is that the samples are independent. In this scenario, knowing that the university had 6000 or more entering freshmen is important to ensure that the sample size is less than 10% of the population size.

The 10% condition is necessary to maintain the independence of samples. When the sample size is small relative to the population size, each sample observation has a greater impact on the population proportion, potentially violating the assumption of independence.

By ensuring that the sample size is less than 10% of the population size, we can reasonably assume that each sample observation is independent of each other. This allows us to use z-procedures and rely on the properties of the normal distribution for inference.

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Answer:

y < 3x + 2

Step-by-step explanation:

We will be solving this in slope-intercept form, which is a form that gives us the slope and the y-intercept of the graph explicitly:

\(y=mx+b\), m is the slope and b is the y-intercept

We are given that everything to the left of the resulting line is shaded, so we know that the inequality sign will be < (less than). That already eliminates the second and fourth options. We also know the y-intercept, or the point where the graph crosses the y-axis and x is 0. because it is given to us (2, which comes from the point (0,2)). To figure out the slope, we can use the formula since we are given two points [(-3, -7) and (0, 2)] the line passes through. The formula, which is mapped out below, tells us that the slope is just the difference in rise (vertical movement) divided by the difference in run (horizontal movement).

\(m=\frac{-7-2}{-3-0} =\frac{-9}{-3} =3\)

Now we have all the information we need to find the inequality. The slope is 3, the y-intercept is 2, and the sign is <. The first inequality fits these criteria, meaning the correct linear inequality is y < 3x + 2

Answer:

hope it helps you......

Using the conversion factor we know that Maya sled down a total of 60 ft of both hills.

A conversion factor is a number that is used to multiply or divide one set of units into another.

If a conversion is required, it must be done using the correct conversion factor to get an identical value.

For instance, 12 inches equals one foot when converting between inches and feet.

Conversion factors' function in the Medicare fee structure.

Every year, the CF is calculated using the CF from the year before, with the Medical Economic Index, the Update Adjustment Factor, Legislative Change, and Budget Neutrality factors are taken into account.

So, we know that:

1 inch = 0.0833333 ft

Then,

432 inches = 36 ft

Then, total ft Maya sled down:

= 24 ft + 36 ft

= 60 ft

Therefore, using the conversion factor we know that Maya sled down a total of 60 ft of both hills.

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So, the hose can complete the job alone in approximately 2.62 hours, and the inlet pipe can complete the job alone in approximately 1.62 hours.

Let the time it takes for the hose alone to fill the pond be H hours, and the time it takes for the inlet pipe alone be P hours. According to the given information:

1) P = H - 1 (The inlet pipe alone can complete the job in one hour less time than the hose alone)

2) In one hour, the hose fills 1/H of the pond, and the inlet pipe fills 1/P of the pond. Together, they can fill the pond in one hour, so: (1/H) + (1/P) = 1

Now, substitute the value of P from equation 1 into equation 2:

(1/H) + (1/(H-1)) = 1

To solve for H, first find a common denominator (H*(H-1)):

(H-1) + H = H*(H-1)

Combine the terms on the left:

2H - 1 = H^2 - H

Rearrange to form a quadratic equation:

H^2 - 3H + 1 = 0

Now, solve the quadratic equation using the quadratic formula:

\(H = (3 + sqrt(5))/2 or H = (3 - sqrt(5))/2\)

However, since H > 0, the only valid solution is H = (3 + sqrt(5))/2 ≈ 2.62 hours.

Now, find the time it takes for the inlet pipe alone to complete the job:

P = H - 1 = 2.62 - 1 = 1.62 hours

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The perpendicular distance from R to PQ is; 184.47 ft

From the attached image, we see that;

Height of leaning tree = 185.5 ft

Distance from point Q to the base of the tower = 126 ft

Angle of elevation to the top of the tower = 60°

By using SSA Congruency postulate, we can say that;

(sin 60)/185.5 = (sin R)/126

making sin R the subject gives;

sin R = (126/185.5) * sin 60

sin R = 0.5882

R = sin⁻¹0.5882

R = 36.03°

Now, sum of angles in a triangle is 180 degrees. Thus;

∠RPQ = 180 - (60 + 36.03)

∠RPQ = 83.97°

The perpendicular distance from R to Q will be calculated as;

RQ = 185.5 sin 83.97°

RQ = 184.47 ft

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The probability of women who did not breastfeed and had breast cancer is not provided in the given options. However, the answer would depend on various factors and cannot be determined solely based on the information given.

It is important to note that breastfeeding is known to have a protective effect against breast cancer, but it does not guarantee that a woman will not develop breast cancer if she does not breastfeed.

Additionally, there are several other risk factors for breast cancer, such as family history, genetics, hormonal factors, and lifestyle choices, which can influence the probability. Therefore, without specific data or context, it is not possible to provide an accurate probability.

Conditional probability is the term used to describe the probability of an event occurring given that another event has already occurred. In this case, if we had information on the probability of breast cancer given that a woman did not breastfeed, we could calculate the conditional probability.

However, since the given information does not include such data, we cannot determine the probability or classify it as a specific type of probability (e.g., joint, conditional, additional rule, or marginal probability).

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The arrangement according to greatest to least is;

3.33 > 3.2 >  0.67 > - 3.14 > -4.

The given number are-

Cube root of 37, 16 over 5, negative four and two thirds, and negative pi.

This, could be written as;

Arrangement according to greatest to least (descending order);

3.33 > 3.2 >  0.67 > - 3.14 > -4.

Thus, the values as per the greatest to least are shown.

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The maximum number of candle molds that Brittany can fill completely with the wax is 46.

Volume of the cylindrical pot:

V = π * r² * h

We have the diameter of the pot = 11 inches then radius = 5.5 inches

Height= 5 inches

Volume = π * (5.5)² * 5

Volume =  475.03 cubic inches

Volume of the square pyramid mold =  (1/3) * b² * h

We have Length of the base = 4.5 inches

Height  = 2.6 inches

Volume  = (1/3) * (4.5)² * 2.6

Volume = 10.17 cubic inches

The Number of candle molds can then be determined as  

= Volume of the cylinder / Volume of square pyramid

= 475.03 / 10.17

= 46.69 which can be 46

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