Given the relation y = –4x2 – 8, if the input is 2, what is the output?

We must find p′, q′ in order to calculate the confidence interval; the sample proportion is p′ = 0.842; This is the population proportion's point estimate. Since CL = 0.95 is the requested confidence level, = 1 – CL = 1 – 0.95 = 0.05 (2) (2) = 0.025.

For P, what is the confidence interval at 95 percent?

Since 95% of the area under the curve falls within this interval, the interval (-1.96, 1.96) serves as a 95% confidence interval for the standard normal distribution.

What is the 95 percent confidence interval for the population's proportion of smokers?

Standard Error for Proportion Calculating a 95% Confidence Interval for each group separately is another way to consider whether smokers and nonsmokers have significantly different proportions with wrinkles. For the smokers, we have a certainty time period ± 2(0.0394) or 0.63 ± 0.0788.

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The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.

Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.

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there are 9,980 ways in which Trent can roll a total of 24 using four 10-sided dice, solve this problem using Inclusion-Exclusion.

To solve this problem using Inclusion-Exclusion, we need to find the total number of ways in which Trent can roll a total of 24 on four 10-sided dice. Then we need to subtract the number of ways in which he rolls more than 24 (i.e. 25, 26, etc.) using the principle of Inclusion-Exclusion. Let's follow the steps below:

Find the total number of ways in which Trent can roll a total of 24 using four 10-sided dice. For each dice, he has 10 possible outcomes (i.e. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Therefore, the total number of ways in which he can roll four dice is 10*10*10*10 = 10^4 = 10,000.

Find the number of ways in which Trent rolls more than 24 using four 10-sided dice. For this, we can use the formula for distributing k identical objects into n distinct containers. The formula is: ${{n+k-1}\choose{k}}$. Here, k = 4 (the number of dice) and n = 3 (the number of containers into which we distribute the objects). To find the number of ways in which Trent rolls more than 24, we need to find the number of ways in which k identical objects can be distributed into n distinct containers such that each container has at least one object. So we subtract this number from the total number of ways in which Trent can roll four dice.Using Inclusion-Exclusion, we have:Total number of ways to roll a total of 24 on four 10-sided dice = 10,000

Number of ways to roll more than 24 on four 10-sided dice = ${{3+4-1}\choose{4}}$ - ${{2+4-1}\choose{4}} = 35 - 15 = 20

Number of ways to roll a total of 24 on four 10-sided dice = Total number of ways to roll four dice - Number of ways to roll more than 24 on four 10-sided dice = 10,000 - 20 = 9,980

there are 9,980 ways in which Trent can roll a total of 24 using four 10-sided dice.

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Answer:

628m

Step-by-step explanation:

Given radius=100m

distance=circumference

=2pie r

=2×22/7×100

=628m

please mark me brainliest

Answer:

The length is 95 m

Step-by-step explanation:

P = 2(l+w) where l is the length and w is the width

342 = 2(l+76)

Divide each side by 2

342/2 = 2/2(l+76)

171= l+76

Subtract 76 from each side

171- 76 = l+76-76

95 = l

a) The zero rates for the five maturities are: 1 year is 2.01%, 2 years is 2.48%, 3 years is 2.77%, 4 years is 1.73%, and 5 years is 4.32%.

b) The price of the security is $128.31.

a) To find the zero rates for all 5 maturities, we can use the formula for the present value of a bond:

PV = C / \((1+r)^n\)

where PV is the present value,

C is the coupon payment,

r is the zero rate, and

n is the number of years to maturity.

We can solve for r by rearranging the formula:

r = \((C/PV)^{(1/n) }\)- 1

Using the bond data given in the question, we can calculate the zero rates for each maturity as follows:

For the 1-year bond, PV = 98 and C = 0, so r = 2.01%.

For the 2-year bond, PV = 101, C = 2.48, and n = 2, so r = 2.48%.

For the 3-year bond, PV = 103, C = 2.91, and n = 3, so r = 2.77%.

For the 4-year bond, PV = 101, C = 2, and n = 4, so r = 1.73%.

For the 5-year bond, PV = 103, C = 5, and n = 5, so r = 4.32%.

Alternatively, we can use linear algebra to find the zero rates. We can write the present value equation in matrix form:

PV = A × x

where A is a matrix of coefficients, x is a vector of unknowns (the zero rates), and PV is a vector of present values.

To solve for x, we can use the equation:

x = (\(A^{-1}\)) x PV

where (\(A^{-1}\)) is the inverse of matrix A.

Using this method, we can solve for the zero rates as follows:

[2.01% ]

[2.48% ]

[2.77% ] = x

[1.73% ]

[4.32% ]

PV = \(A^{-1}\) x  [98]

                   [101]

                   [103]

                   [101]

                   [103]

PV =   [-0.0201]

          [ 0.0248]

          [ 0.0277]

          [-0.0173]

          [ 0.0432]

b) To find the price of the security which pays cash flows of $10 in one year, $25 in two years, and $100 in four years, we can use the formula for the present value of a series of cash flows:

PV = \(C1/(1+r)^1 + C2/(1+r)^2 + C3/(1+r)^4\)

where PV is the present value, C1, C2, and C3 are the cash flows, r is the zero rate, and the exponents correspond to the number of years until each cash flow is received.

Using the zero rates calculated in part (a), we can calculate the present value of each cash flow:

PV1 = $10 /(1+2.01 % \()^1\) = $9.80

PV2 = $25/(1+2.48%\()^2\) = $22.15

PV3 = $100/(1+1.73%\()^4\) = $81.36

Then, the price of the security is the sum of the present values:

PV = $9.80 + $22.15 + $81.36 = $128.31

Therefore, the price of the security is $128.31.

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The inequalities is given by l - w > 10  and l + w > 62

Let the possible length in meters, l, and the possible width in meters, w, of the pool.

Since the perimeter of a rectangular pool is more than 62 meters:

2(l + w) > 62

l + w > 62     (1)

Also,  the width is at least 10 meters less than the length. hence:

l - w > 10    (2)

The inequalities is given by l - w > 10  and l + w > 62

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Answer:

Step-by-step explanation:

the system of inequalities that represents the possible length in meters, l, and the possible width in meters, w, of the pool is given as w ≤ l - 10 and 2 l + 2 w > 62.

Let the length of the pool be x.

So, ATQ, the width will be represented by the inequality:

x - 10 ≥ width

w ≤ x - 10

w ≤ l - 10

Also, it is given that, the perimeter of the pool is more than 62 m

So, we get that:

P > 62

Also, we know that:

P = 2 l + 2 w

So, we get that:

2 l + 2 w > 62.

Therefore, the system of inequalities that represents the possible length in meters, l, and the possible width in meters, w, of the pool is given as w ≤ l - 10 and 2 l + 2 w > 62.

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Answer:

neither one of those are a dot plot

Step-by-step explanation:

Answer:

height of kids in class is the dot plot

Step-by-step explanation:

a) The percentage abundance Shows us the amount of the substance in the element

b) The relative atomic mass for the element X has been obtained as 122.5 amu

c) The Rutherford's model explained showed the movement of the electrons.

The isotopes of an elements are the atoms of the elements that have the same atomic number but do not have the same mass number. We know that the atoms of the isotopes of the element that we have are important as we try to determine the relative atomic mass of the element as we have the element X in this case.

Now we have that;

Relative atomic mass = Weighted average of all the isotopes

As such we have;

(121 * 0.432) + (123 * 0.531) + (129 * 0.0370)

52.27 + 65.31 + 4.773

=122.35 amu

The Rutherford model of the atom shed light on the manner in which the electrons move around the nucleus of the atom of the element that we have in the atom.

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Answer:

B

Step-by-step explanation:

the answer is:

b. 250 divided 9.4 ≈ 26.6 cm/min

Answer: 2⁻²

Step-by-step explanation:

probably

Using a system of equations, it is found that a soft taco costs $1 and a burrito costs $3.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

You order four soft tacos and three burritos and your total bill is $15, hence:

\(4x + 3y = 15\)

Your friend's bill is $9 for two soft tacos and two burritos, hence:

\(2x + 2y = 9\)

\(x + y = 4.5\)

\(y = 4.5 - x\)

Hence, replacing on the first equation:

\(4x + 3y = 15\)

\(4x + 3(4.5 - y) = 15\)

\(x = 1.5\)

\(x = 4.5 - 1.5 = 3\)

Hence, a soft taco costs $1 and a burrito costs $3.

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The unknown side length in triangle B has a measure of 7.5 units.

It is given that Alejandro reduced triangle A proportionally.

It means triangle A and B are similar and their corresponding sides are proportional.

Scale factor = 6/12

=1/2

Each side of triangle A is changed by a factor of 1/2.

Let the unknown side of triangle B be x.

x/15=1/2

2x=15

x=7.5

Therefore, the unknown side length in triangle B has a measure of 7.5 units.

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The amount he would pay to purchase a laptop today that is the same value as the one he saw in the ad is $390.

Cost price: Cost prize is the price at which the goods and services were purchased.

It is given that,

projected price: $400.00, and the laptop will be out on the market in about one year with 2.5% inflation.

Now, if he pays today for a laptop of the same value as the one in the advertisement, his cost will be 2.5% of $400 less, or as follows:

cost price of laptop = $400 - 2.5& x 400

cost price of laptop = 97.5% x $400

cost price of laptop = $390

As a result, the laptop that he needs right now will cost $390.

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Answer:

I think its the one on the bottom right

Step-by-step explanation:

Answer:

bottom right is the answer i think

The trigonometric ratios for each triangles are:

Please note that all angles B are the right angle, then:

cos B = 1; sin B = 0; tan B = -

The trigonometric ratio of sin, cos, tan, can be formulated as:

(please refer to the attached triangle below for reference)

cos A = side adjacent to A / Hypotenuse

Cos A = b/c

Sin A = side opposite to A / Hypotenuse

Sin A = a/b

Tan A = Side opposite to A / Side adjacent to A

Tan A = a/b

From these formulas, we can find that:

Triangle 1

Cos A = 40/50 = 4/5

Sin A = 30/50 = 3/5

Tan A = 30/40 = 3/4

Cos C = 30/50 = 3/5

Sin C = 40/50 = 4/5

Tan C = 40/30 = 4/3

Triangle 2

Cos A = 27/45 = 3/5

Sin A = 36/45 = 4/5

Tan A = 36/27 = 4/3

Cos C = 36/45 = 4/5

Sin C = 27/45 = 3/5

Tan C= 27/36 = 3/4

Triangle 3

Cos A = 15/17

Sin A = 8/15

Tan A = 8/15

Cos C = 8/17

Sin C = 15/17

Tan C = 15/8

Please note that all angle B on the three triangles are all a right angle, then:

Cos B = 1

Sin B = 0

Tan B = -

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Answer:

10 hours.

Step-by-step explanation:

t=58-18.

t=40÷4.

t=10

Answer:

A. NO

B.  NO

C. YES

D. YES

E. NO

F. NO

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to quadratic formula:

y = - b  ±  √ b²- 4ac / 2a

y = - (-5) ± √ -5²- 4(2x-12) / 2(2)

y = 5 ± √ 25 - 4(-24) / 4

y = 5 ± √ 25 - (-96) / 4

y = 5 ± √ 121 / 4

y = 5 ± √ (11)² / 4

y = 5 ± 11 / 4

Now either,

y = 5 + 11 / 4

y = 4

Or,

y = 5 - 11 / 4

y = -3/2 = -1.5

The correlation coefficient {r} = 0.01 represents the worst correlation.

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data

Given are the correlation values as given in the image.

The correlation coefficient {r} = 0.01 represents the worst correlation. It is shows that the data is scattered to a very large extent and the dependency between the two variables is not mathematically structured according to some rule.

Therefore, the correlation coefficient {r} = 0.01 represents the worst correlation.

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Answer:

The vertex form equation of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex and a is a constant that determines the shape of the parabola.

To write the vertex form equation of each parabola, we need to find the values of a, h, and k for each equation.

A. y = x^2 + 4 To find a, we can compare the coefficients of x^2 in the given equation and the vertex form equation. We see that a = 1 in this case.

To find h and k, we can complete the square for the x-term in the given equation. We add and subtract (b/2a)^2, where b is the coefficient of x and a is the coefficient of x^2.

y = x^2 + 4 y = x^2 + 4 + (0/2)^2 - (0/2)^2 y = x^2 + 4 + 0 - 0 y = (x + 0)^2 + 4 - 0 y = (x + 0)^2 + 4

We see that h = -0 and k = 4 in this case. The vertex form equation is y = (x + 0)^2 + 4, or y = x^2 + 4.

B. y = (x - 2)^2 + 4 This equation is already in vertex form, so we can directly read the values of a, h, and k. We see that a = 1, h = 2, and k = 4 in this case. The vertex form equation is y = (x - 2)^2 + 4.

C. y = (x + 4)^2 - 1 This equation is also already in vertex form, so we can directly read the values of a, h, and k. We see that a = 1, h = -4, and k = -1 in this case. The vertex form equation is y = (x + 4)^2 - 1.

D. y = (x + 4)^2 - 2 This equation is also already in vertex form, so we can directly read the values of a, h, and k. We see that a = 1, h = -4, and k = -2 in this case. The vertex form equation is y = (x + 4)^2 - 2.

The value of the one-gram quantity in ounces will be 0,35274 ounces.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the quantity of some materials is measured in 10 grams. The quantity of the material in ounces will be calculated as,

1 grams = 0.035274

10 grams = 10 x 0.035274

10 grams = 0.35274 ounces

Therefore, the value of the one-gram quantity in ounces will be 0,35274 ounces.

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Answer:

The 2 represents that each toppings costs $2.

The number 2 in the equation represents the unit cost of a topping.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation is called as left hand side and right hand side.

Given equation is,

c = 2t + 18

Here c represents the cost of the pizza in dollars with t number of toppings.

Here 2 is multiplied to the number of toppings on the pizza.

So 2 must represent the cost of a topping on the pizza.

Hence 2 represents the unit cost of a topping.

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