How do you solve these?

Answer:I don’t understand

Step-by-step explanation:

A simple random sample of 64 kitchen toasters should be taken to determine the mean operational lifetime with a margin of error of 8 hours and a 95% confidence level.

A confidence interval estimates the range within which a population parameter (in this case, the mean operational lifetime) is likely to lie, based on a sample statistic. The margin of error is the maximum amount by which the sample statistic might deviate from the true population value.

The sample size (n) can be calculated using the formula: n = (Z * σ / \(E)^2\) where Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error. The Z-score is a measure of how many standard deviations a data point is from the mean of a distribution. It can be looked up in a Z-score table, or calculated using software, for a specific confidence level. Commonly used confidence levels include 90%, 95%, and 99%.

To calculate the sample size needed for a confidence interval with a margin of error of 8, we need to use the formula:

n = (\((z-value)^2\) * σ\(^2)\) / (\(E^2\))

Where:
- n is the sample size
- z-value is the critical value for the desired confidence level (let's assume a 95% confidence level, so z-value is 1.96)
- σ is the population standard deviation (given as )
- E is the margin of error (given as 8)

Plugging in the values, we get:

n = \(((1.96)^2 * ^2) / (8^2)\)
n = \((3.8416 * ^2) / 64\)
n = 0.2373 *

Rounding up to the nearest whole number, the sample size needed is:
n = 64

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The coordinates of the center is (32, 40.5).

length of the radius of the circle is 73 units.

The coordinates of the center is solved using the formula for midpoints expressed as

Midpoint x-coordinate = (x₁ + x₂) / 2

Midpoint y-coordinate = (y₁ + y₂) / 2

Plugging in the values:

x₁ = 8 and y₁ = 13

x₂ = 56 and y₂ =68

Midpoint x-coordinate

= (8 + 56) /2

= 64/2

= 32

Midpoint y-coordinate

= (13 + 68) /2

= 81/ 2

= 40.5

distance formula will be used to find the length of the radius of the circle

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plugging in the values:

= √[(56 - 8)² + (68 - 13)²]

= √(48² + 55²)

= √(2304 + 3025)

= √5329

= 73

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The lowest real root of the polynomial function f(x) = -10 - 20x + 16x^2 - 2.5x^3 is approximately -2.224. This value represents the point at which the function crosses the x-axis, indicating the root.

To determine the lowest real root of the given polynomial function, we can use various methods such as graphing, factoring, or numerical methods like Newton's method or bisection method. In this case, since the polynomial is a cubic equation, factoring might not be feasible. Therefore, we can employ numerical methods.

By using a numerical method, we can approximate the value of the root. One popular method is the bisection method, which involves dividing the interval containing the root into smaller intervals and iteratively narrowing down the range until a desired level of precision is achieved. By applying the bisection method to the given function, we find that the lowest real root is approximately -2.224.

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Answer:

Yes.

Step-by-step explanation:

One term .

Form A

H(t) = -8(t – 2)² + 37

Form B

H(t)= -8t² + 32t + 5

a. From form A, the vertex of the parabola is at (2, 37). This means that the maximum height is 37 feet and it's reached after 2 seconds.

b. The initial height corresponds to t = 0 seconds. Replacing t = 0 into form B:

H(0)= -8(0)² + 32(0) + 5 = 5 ft

That is, the initial height was 5 ft

Answer:

80

Step-by-step explanation:

500 to 900? = 80.

Answer:

x = -2

Step-by-step explanation:

3x-1 = 8(x+1)+1

3x-1 = 8x+8+1

3x-1 = 8x+9

-3x     -3x

-1 = 5x+9

-9        -9

-10 = 5x

/5      /5

-2 = x

Answer:

x= -2              

Step-by-step explanation:

3x-1= 8(x+1) + 1

3x- 1 = 8x+ 8 + 1

3x- 1 = 8x+ 9

-1= 8x-3x+9

-1-9= 5x

-10= 5x

-10/5 = x

-2= x

The shape classification is a Quadrilateral and the area of the shape is 30 inch ²

The circumference of the circle is 37. 7 m

The area of the circle is 113. 1 m²

The shape given is known as a trapezium and the area of a trapezium can be found by the formula :

= ( Side A + Side B ) / 2 x Height

= ( 10 + 5 ) / 2 x 4

= 7. 5 x 4

= 30 inch ²

The circumference of a circle is;

=  Pi x Diameter

= 22 / 7 x 12

= 37. 7 m

The area of the circle is:

= Pi x radius ²

= 22/ 7 x 6 x 6

= 113. 1 m²

Note : Radius is half of diameter

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The task is to derive and solve the system of equations for the nodes and weights of the Le quadrature rule on the interval (-1, 1) using four nodes, with t1 = -1 and ta = 1 given, and t2 and t3 chosen optimally to minimize.

To determine the nodes and weights for thecon the interval (-1, 1) with four nodes, we need to solve a system of equations.

Given t1 = -1 and ta = 1, and with t2 and t3 chosen optimally, we aim to minimize the error by obtaining an equation involving 1 + t that does not contain the weights w or w2.

The system of equations will involve the weights and the nodes, and solving it will provide the specific values for t2, t3, w1, w2, w3, and w4.

The optimality condition ensures that the chosen nodes and weights provide accurate approximations for integrating functions over the interval (-1, 1).

By solving the system of equations, we can obtain the exact values of the nodes and weights, achieving the desired equation involving 1 + t.

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Answer:  15

Step-by-step explanation:

The ratio 3 : 4 represents the younger brother : older brother

3 + 4 = 7

Since we want a total of 35, multiply each value in the ratio by 5:

 3 : 4  = 7

x5 x5  x5

15 : 20 = 35

So the younger brother had 15 oranges

and the older brother had 20 oranges

Answer:

430 dollars per year

Step-by-step explanation:

The formula to use is...

C=250+15x

C is the cost per year

250 is the flat fee

15 is the cost per month

x is the number of months

Answer:

228+318=556

Step-by-step explanation: in conclusion that's alot of meat

The answer for this problem would have to be $546

we get that the equation that models the situation is:

when t=2. We get that

so we get that after 7 years ( 1997 )

Answer: After the launch, the fireball seems to be speeding up as it’s moving upward. But a measurement of motion shows that this isn’t true, so our observations are sometimes unreliable.

Step-by-step explanation: Exact answer from plato

The narrator refers to, After launch, the fireball seems like be speeding up as it is moving upward. But measurement of the motion shows that this is not true, so our observations are sometimes unreliable.

What is an Unreliable Narrator?

The unreliable narrator is the character that says to you the story with some kind of lack of credibility. This technique could be difficult to pull off but if we do, it could be so effective. As the reader, you feel like you can believe the narrator, they are the one guiding you through the story. However, just because they are the narrator, it does not mean they are the 'good guy and that they can be trusted. Some of the best stories are when the narrator not only deceives the other characters on the book but the readers too.

How to be an unreliable narrator?

There are many roads to use this technique, and I thought that the best way to use it is by thinking outside from the box. The last thing you want to read to expect is what is about is happen, this will completely ruin what you are trying to do. Be bold or imaginative.

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Answer:

I believe the answer is C

Answer:

1 cup of sugar for every 2 cups of flour 1:2

Step-by-step explanation:

The ratio of sugar to flour for chocolate chip cookies, to maintain the same taste, will be 1/2.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A bakery mixes cookie dough in large batches.

For chocolate chip cookies, 10 cups (2,365.88 ml) of sugar and 20 cups (4,731.76 ml) of flour are needed.

Then the ratio of sugar to flour for chocolate chip cookies to maintain the same taste, will be

Let S be the amount of sugar and F be the amount of the flour.

Then the ratio of sugar to flour will be

S / F = 10 / 20

S / F = 1 / 2

Thus, the ratio of sugar to flour for chocolate chip cookies, to maintain the same taste, will be 1/2.

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Answer:

  -3√11

Step-by-step explanation:

If the coefficients of a polynomial are rational, any irrational root will have a conjugate that is also a root.

The root 3√11 is irrational, so its conjugate, -3√11, will also be a root.

__

Additional comments

The conjugate of a root of the form a+√b or a+bi will be the same form with the sign changed: a-√b or a-bi.

The conjugate of 3√11 = 0 +√99 will be 0 -√99 = -3√11.

__

A quadratic with rational coefficients can only have irrational roots of the form a±√b, where 'a' and 'b' may be any rational number.

3 - √11  also be a root of f(x).

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Get the conjugate of any irrational zero if you want rational coefficients.

The conjugate of 3 + √11  is  3 - √11

x = 3 +√ 11

Subtract 3 on both sides

x minus 3 = 3 + √11 - 3

x - 3 = √11

By squaring on both sides

(x - 3)² =√ 11

Now subtract 11 on both sides

(x - 3)² - 11 = 0

To factor use the difference of squares

u² minus v² = (u minus v) (u plus v)

[(x - 3) - 11][(x - 3) + 11] = 0

We get,

(x - 3) - 1 = 0 or (x - 3) + 11 = 0

Solve for x - 3 and x

Add √11 on both sides of first equation and subtract √11 on both sides of second equation

x minus 3 = √11 or x minus 3 = - √11

By adding 3 on both sides

x = 3 + √11 or x = 3 - √11

As a result,

the root of 3 - √11 must likewise be f(x).

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The running time of the given algorithms is \(O(n^2)\), where n represents the input size.

The given problem asks us to determine the running time of the algorithms. Let's assume the input size is represented by 'n'. We need to analyze the code to determine its time complexity.

Upon inspection, we can see that there is a loop nested inside another loop. The outer loop runs 'n' times, and the inner loop also runs 'n' times. This results in a total of n * n = \(n^2\) iterations.

The time complexity of nested loops is determined by multiplying their respective iterations. In this case, the outer loop iterates 'n' times, and for each iteration, the inner loop iterates 'n' times as well. Therefore, the overall running time is \(O(n^2)\).

This means that the running time of the algorithms grows quadratically with the input size. As the input size increases, the running time increases exponentially.

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3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Answer:

42/82 = 21/41 = slope

Step-by-step explanation:

He scored 42 goals in 82 games, so the rate at which he scores is 21/41

Now in each game, he scores goals at this rate, so for 1 game he scores

21/41, for 2 games i.e x=2, number of goals y = (21/41)(2) and so on

so the slope is 21/41

Answer:

m = slope = 0.51

Step-by-step explanation:

Slope = (Change in y-coordinate) / (Change in x-coordinate)

Use these 2 points on the line to find the slope: (0, 0) and (82, 42)

Δy = 42 - 0 = 42.

Δx = 82 - 0 = 82.

Slope = Δy / Δx = 42 / 82 ≈ 0.5122

Answer: Fourth Choice. 66

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

n = 3

Given expression

6 (n² + 2)

Substitute values into the expression

=6 (3² + 2)

Simplify exponents

=6 (9 + 2)

Simplify values in the parentheses

=6 (11)

Simplify by multiplication

=\(\boxed{66}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

\(\displaystyle \Large \boldsymbol{} 6(n^2+2) = 6(3^2+2)=66\)

The sketch of the function will exhibit a downward trend on both sides and intersect the x-axis at -5, 1, and 4. The exact values of a and b can be chosen to achieve the desired end behavior.

To construct the desired polynomial, we know that since it has downward end behavior on both sides, the leading coefficient must be negative. Moreover, since there are three x-intercepts, the polynomial must have three linear factors corresponding to those intercepts.

Let's denote the polynomial as f(x). Since it has x-intercepts at -5, 1, and 4, the factors of the polynomial can be written as (x + 5), (x - 1), and (x - 4). To ensure downward end behavior, we need to multiply these factors by two additional linear factors. We can choose (x - a) and (x - b), where a and b are large positive values.

Therefore, the equation of the 4th-degree polynomial satisfying the given conditions is:

f(x) = -(x + 5)(x - 1)(x - 4)(x - a)(x - b)

The sketch of the function will exhibit a downward trend on both sides and intersect the x-axis at -5, 1, and 4. The exact values of a and b can be chosen to achieve the desired end behavior.

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standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\(y=-\cfrac{2}{3}x-1\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y)=3\left( -\cfrac{2}{3}x-1 \right)} \\\\\\ 3y=-2x-3\implies {\Large \begin{array}{llll} 2x+3y=-3 \end{array}}\)

Answer:

d it should be outside the circle

Step-by-step explanation:Hope it helps!!

brainlest pls

Answer:

36:9

Step-by-step explanation: