Pleeeeeease this is my second time asking, I need help.

The probability that a randomly selected quartz time piece from company XYZ will have a replacement time of less than 10 years can be determined using the normal distribution with a mean of 12.6 years and a standard deviation of 0.9 years.

To calculate the probability, we need to find the area under the normal distribution curve to the left of 10 years. First, we need to standardize the value of 10 years using the formula z = (x - μ) / σ, where x is the value (10 years), μ is the mean (12.6 years), and σ is the standard deviation (0.9 years). Substituting the values, we get z = (10 - 12.6) / 0.9 = -2.89.

Next, we look up the corresponding z-score in the standard normal distribution table or use statistical software. The table or software tells us that the area to the left of -2.89 is approximately 0.0019

. This represents the probability that a randomly selected quartz time piece will have a replacement time less than 10 years. Therefore, the probability is approximately 0.0019 or 0.19%.

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Answer:

8

Step-by-step explanation:

diameter=radius×2=4×2=8

y = (1/4)x^2 - x + 2

which is the same equation we obtained earlier.

Since the given conic is a parabola, we know that it has the general form:

y = a(x - h)^2 + k

where (h, k) is the vertex and the sign of "a" determines the direction of the parabola.

We also know that the focus of the parabola is (4, 2). Since the vertex is given as (4, 1), we can see that the axis of symmetry is parallel to the y-axis and the focus lies 1 unit above the vertex.

To find the value of "a", we can use the fact that the distance between the focus and vertex is equal to 1/(4a). Thus, we have:

1/(4a) = 2 - 1

=> 1/(4a) = 1

=> a = 1/4

Substituting this value of "a" and the vertex (h, k) = (4, 1) into the general form of the parabola, we get:

y = (1/4)(x - 4)^2 + 1

Therefore, the equation of the parabola is:

y = (1/4)x^2 - x + 2

Alternatively, we can also use the focus-directrix property of the parabola to find its equation. Since the focus is (4, 2) and the vertex is (4, 1), we know that the directrix is the line y = 0.5 (which is 1 unit below the vertex). The distance from any point on the parabola to the focus is equal to its distance to the directrix. Using the distance formula and simplifying, we get:

sqrt((x - 4)^2 + (y - 2)^2) = abs(y - 0.5)

Squaring both sides and simplifying, we get:

(x - 4)^2 + (y - 2)^2 = 4(y - 0.5)^2

Expanding and rearranging, we get:

x^2 - 8x + 16 + y^2 - 4y + 4 = (1/4)x^2 - x + 1

Simplifying further, we get:

y = (1/4)x^2 - x + 2

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Answer:

Step-by-step explanation:

y + 3 = 2(x + 2)

y + 3 = 2x + 4

y = 2x + 1

Answer:

2y

Step-by-step explanation:

this is common factor of both the terms

because 2y divides both term

hope it helps

Answer:

145

Step-by-step explanation:

Your midpoint is (6,4). Hope this helps! Please mark brainliest:) Have a great day.

Step-by-step explanation:

take

5501

- 23

_____

12,650 folders.

The solution for the questions is mathematically given as

a)

t-distribution.

b)

the confidence interval for the mean, based on 98 percent of the sample, is ( 6.3952, 7.3048 )

c) the value of the \(\mu_0\) is within the range of the 98 percent confidence interval for the mean, which is between 6.3952 and 7.3048, then accept H_0; otherwise, reject H _0.

d)

you should conduct a poll with around 123 students to determine the average amount of time that students spend sleeping at your institution.

Generally, the equation for is mathematically given as

a.

In this case, the standard deviation of the population is unknown.

As a result, we make use of the t-distribution.

b)

We wish to generate a confidence interval with a 98 percent likelihood for the mean.

Because of this,

\((\bar{X}-t_{n-1,\alpha/2}\frac{s}{\sqrt{n}},\bar{X}+t_{n-1,\alpha/2}\frac{s}{\sqrt{n}})\)

\((6.85-t_{148-1,0.02/2}\frac{2.12}{\sqrt{148}},6.85+t_{148-1,0.02/2}\frac{2.12}{\sqrt{148}})\)

\((6.85-t_{147,0.01}\frac{2.12}{12.1655},6.85+t_{147,0.01}\frac{2.12}{12.1655})\)

(6.3952,7.3048)

Therefore, the confidence interval for the mean, based on 98 percent of the sample, is ( 6.3952 , 7.3048 )

c )

If the value of the mu _0 is within the range of the 98 percent confidence interval for the mean, which is between 6.3952 and 7.3048, then accept H_o; otherwise, reject H_0.

d . Here, we want to determine the sample size

Therefore,

\(n=t_{n-1,\alpha/2}^2\frac{s^2}{E^2}\)

\(n=t_{148-1,0.05/2}^2\frac{2.12^2}{0.5^2}\)

\(n=t_{147,0.025}^2\frac{2.12^2}{0.5^2}\)

\(n=2.6097^2\frac{2.12^2}{0.5^2}\)

n=122.4364

In conclusion, you should conduct a poll with around 123 students to determine the average amount of time that students spend sleeping at your institution.

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Answer:

the 1st one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right

Thus, the present age of the daughter and father is found to be 1 year and 37 years respectively.

two-variable linear equations in the standard form Class 9

Hence, a linear equation with two variables is any equation that can be written in the form axe + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero. This implies that you can come up with a tonne of these equations.

For the question:

Let the age of the daughter be 'x'.

Let the age of the father be 'y'.

After 3 years:

10(x + 3) = (y + 3)

10x + 30 = y  + 3

y = 10x + 27  ..eq 1

One year ago

(x - 1) +  (y - 1) = 36

x + y = 38

y = 38 - x ..eq 2

equation eq 1 and 2

10x + 27 =  38 - x

11x = 11

x = 1

y = 38 - x

y = 38 - 1 = 37

Thus, the present age of the daughter and father is found to be 1 year and 37 years respectively.

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Answer:

The grpah should help!

Answer:

See attached for graph of the given function.

Step-by-step explanation:

Vertex form of a quadratic function

\(f(x)=a(x-h)^2+k\)

where:

Given function:

\(g(x)=-\dfrac{1}{5}(x+5)^2-2\)

Vertex

Comparing the given function with the vertex formula:

\(\implies h=-5\)

\(\implies k=-2\)

Therefore, the vertex of the parabola is (-5, -2).

As a<0, the parabola opens downwards.  Therefore, the vertex is the maximum point of the curve.

Axis of symmetry

The axis of symmetry is the x-value of the vertex.

Therefore, the axis of symmetry is x = -5.

y-intercept

To find the y-intercept, substitute x = 0 into the given function:

\(\implies f(0)=-\dfrac{1}{5}(0+5)^2-2=-7\)

Therefore, the y-intercept is (0, -7).

x-intercepts

To find the x-intercepts, set the function to zero and solve for x:

\(\implies -\dfrac{1}{5}(x+5)^2-2=0\)

\(\implies -\dfrac{1}{5}(x+5)^2=2\)

\(\implies (x+5)^2=-10\)

As we cannot square root a negative number, the curve does not intercept the x-axis.

Additional points on the curve

As the axis of symmetry is x = -5 and the y-intercept is (0, -7), this means that substituting values of x in multiples of 5 either side of the axis of symmetry will yield integers:

\(\implies f(-10)=-\dfrac{1}{5}(-10+5)^2-2=-7\)

\(\implies f(5)=-\dfrac{1}{5}(5+5)^2-2=-22\)

\(\implies f(-15)=-\dfrac{1}{5}(-15+5)^2-2=-22\)

Therefore, plot:

Draw a smooth curve through the points, using the axis of symmetry to ensure the parabola is symmetrical.

Answer:

256 in²

Step-by-step explanation:

Multiply length by width or 16 times 16 to get 256, squared of from two planes

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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The equilibrium forward rate can be calculated based on the interest rate differentials between the two countries. In this case, with a spot rate of $1.91/Pound, a US interest rate of 3.19%, and a UK interest rate of 10.68%, the equilibrium forward rate can be determined.

The equilibrium forward rate can be calculated using the interest rate parity principle, which states that the difference in interest rates between two countries should equal the expected change in the exchange rate. In this case, the interest rate differential between the US and the UK is 7.49% (10.68% - 3.19%). According to interest rate parity, the equilibrium forward rate should reflect this interest rate differential.

To calculate the equilibrium forward rate, we can use the formula:

Forward Rate = Spot Rate x (1 + Domestic Interest Rate) / (1 + Foreign Interest Rate)

Plugging in the values, we get:

Forward Rate = $1.91 x (1 + 0.0319) / (1 + 0.1068)

Calculating the equation yields the equilibrium forward rate.

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No, doubling the length of the sides of a triangle does not result in doubling the area. When the length of the sides of a triangle is doubled, the area of the triangle increases by a factor of four, not two.

The area of a triangle is determined by its base and height. When the sides of the triangle are doubled, both the base and height are doubled as well.

The formula for the area of a triangle is given by A = (1/2) * base * height. If we double both the base and the height, the new area becomes A' = (1/2) * (2 * base) * (2 * height), which simplifies to A' = 2 * 2 * (1/2) * base * height = 4 * A. Therefore, doubling the sides of a triangle results in quadrupling its area, not doubling it.

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The minimum possible value of the European call option is approximately 2.8752.

Given the parameters S = 52 (current stock price), K = 50 (strike price), r = 24% (annual interest rate), and a time to maturity of 3 months, we can calculate the minimum call option value.

The Black-Scholes formula for European call option pricing is as follows:

C = S * N(d1) - K * e^(-r*T) * N(d2)

Where:

C = Call option price

S = Current stock price

N = Cumulative standard normal distribution function

d1 = (ln(S/K) + (r + σ^2/2) * T) / (σ * sqrt(T))

d2 = d1 - σ * sqrt(T)

K = Strike price

r = Annual interest rate

T = Time to maturity (in years)

e = Euler's number (approximately 2.71828)

σ = Implied volatility of the underlying asset

Using the provided values, we can calculate the minimum call option value as follows:

d1 = (ln(52/50) + (0.24 + 0^2/2) * (3/12)) / (0.24 * sqrt(3/12))

   = (ln(1.04) + 0.12 * 0.25) / (0.24 * 0.1443)

   = (0.0392 + 0.03) / 0.0346

   = 1.7507

d2 = 1.7507 - 0.24 * sqrt(3/12)

   = 1.7507 - 0.24 * 0.1443

   = 1.7507 - 0.0346

   = 1.7161

N(d1) = N(1.7507) ≈ 0.9599 (using standard normal distribution table)

N(d2) = N(1.7161) ≈ 0.9569 (using standard normal distribution table)

C = 52 * 0.9599 - 50 * e^(-0.24 * (3/12)) * 0.9569

 = 49.9152 - 50 * e^(-0.06) * 0.9569

 ≈ 49.9152 - 50 * 0.9408

 ≈ 49.9152 - 47.040

 ≈ 2.8752

Therefore, the minimum possible value of the European call option is approximately 2.8752.

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Answer:

C. 9.6ft

D. Angle M

Step-by-step explanation:

Height of smaller surfboard = \(\frac{12}{4}\) × 3.2ft

                                              = 9.6ft

If you flip ABCD over, the positions of the angles that are corresponding to each other would be the same, so the angle that would correspond with Angle D would be Angle M since both would be at the top right.

95.

As you see, the angle is a bit closer to 120. A right angle would be a perfect square, which is 90 degrees. So since it is so closer to 90 than the other answers, the answer is 95.

The angle between vector A=(25 m)i +(45 m)j and the positive x-axis is approximately 61 degrees.To determine the angle between vector A and the positive x-axis, we can use trigonometry.

The vector A can be represented as (25, 45) in Cartesian coordinates, where the x-component is 25 and the y-component is 45. The angle between vector A and the positive x-axis can be found by taking the arctangent of the y-component divided by the x-component:

angle = arctan(45/25)

         ≈ 61 degrees.

Therefore, the angle between vector A and the positive x-axis is approximately 61 degrees.

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top right =  43

bottom right- 32

middle = 105

Answer is

B= 32*

D= 43*

F= 105*

Step by step

∠at point B is is opposite interior angle to angle at point C, so it’s congruent or the same, so

∠B = 32*

∠ at point D is a supplement angle to 137. Supplement angles sum = 180.

180 - 137 = 43.

∠ at point F will follow triangle angle sum theorem - the sum of interior angles of a triangle is 180°. We have 32* + 43* = 75*.

180 - 75 = 105 degrees for both angles at point F.

The adjusting entries required of financial statements for the year ended (date of) December 31 are :

a. Dr Wages expense $7,000

Cr  Wages payable  $7,000

( To record Wages expense)

b. Dr Depreciation expense $11,920

Cr Accumulated depreciation - Equipment  $11,920

( To record Depreciation expense)  

c. Dr Supplies expense $5,527

Cr Supplies  $5,527

( To record supplies expense)  

d. Dr Insurance expense $1,500

Cr Prepaid insurance  $1,500

( To record insurance expense)

e. Dr Interest receivable $550

Cr Interest revenue  $550

( To record interest revenue)  

f. Dr Interest expense $4,500

Cr Interest payable  $4,500

( To record interest expense)

Supplies expense=$450+$5,697-$620

Supplies expense= $5,527

Insurance expense=$ 5,000-$3,500

Insurance expense= $1,500

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Answer:

No, I do not agree with Mr. Trpkosh.

Step-by-step explanation:

The rate of change of a function means the total change in the function for a unit change in the independent variable.

If the function is increasing with increment in the independent variable, then the rate of change of the function is positive, while if the function is decreasing with the same,  then the rate of change of the function is negative.

Given that the rate of change of the first function = - 10, so this function is decreasing with a rate of 10.

The rate of change of the second function = 8, so this function is increasing with a rate of 8.

So, the first function has a higher rate of change.

The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.

Taking the derivative of y with respect to x:

dy/dx = d(6x - x²)/dx

= 6 - 2x

Now, we can substitute x = 1 into the derivative to find the slope at that point:

slope = 6 - 2(1)

= 6 - 2

= 4

So, the slope of the tangent line to the parabola at the point (1,5) is 4.

To find the equation of the tangent line, we need to use the point-slope form of a line.

The equation is given by:

y - y₁ = m(x - x₁)

Substituting the values we have:

y - 5 = 4(x - 1)

Expanding and simplifying:

y - 5 = 4x - 4

Moving the constant term to the other side:

y = 4x + 1

Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

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Complete question =

Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.

Answer:

How do you calculate grams per 100mL concentration?

The concentration is the amount divided by the volume it is dissolved in. For example you might dissolve 0.9g of sodium chloride in 100mL of water. Sometimes this is referred to as 0.9% w/v since it is 0.9g weight divided by 100mL volume and “w/v” stands for weight per volume.”

Solubility≡62.5⋅g⋅100⋅mL−1..

Explanation:

☯We want Concentration=Mass of solute100 mL volume of solvent.

We make the reasonable assumption that the volume of solution is equal to 40⋅mL.

And so we set up the quotient.

25⋅g(40100)⋅mL=

☯In order to answer this question, you'll want to make use of the fact that pure water under standard conditions has a density of 1 g/ml. This means that 50 ml of pure water would have a mass of 50 grams. Therefore, we know that our sample has a 25 grams of sugar, in order for the total mass to be 75 grams.

☯The question doesn't specify what unit of concentration they prefer, so you can use the easiest, which is (mass of solute)/(volume of solvent) which in this case is 25g/50ml or .5 g/ml. If you need to write this in terms of molarity, you can use the molar mass of sugar to convert the 25g into moles and divide by .05 L, as molarity is given by (moles of solute)/(volume of solvent in liters).

☯Sugar solutions or "syrups" are used extensively in canning, and sometimes referred to as "heavy" or "light" syrups.

The terms heavy and light are commonly used in two different ways. We refer to weight when we say that an adult is heavier than a child. On the other hand, something else is alluded to when we say that one syrup is heavier than another. A teaspoon of heavy syrup would obviously weigh less than a gallon of light syrup, but heavy syrup is heavier in the sense that a given volume weighs more than the same volume of light syrup. It's interesting that a given volume of "heavy cream" actually weighs less than "light cream" (in this case, "heavy" refers to the thickness, or percent milk fat).

In "Molecular Gastronomy", Herve This (pronounced Thees) points out[2] that more precision is needed in canning recipes. Some call a heavy syrup 1 cup sugar to 2 cups water (a ratio of 0.5:1) while others refer to a medium syrup as 3-1/4 c sugar to 5 c water (a ratio of 0.65:1). The latter is actually heavier, or denser. Which is better for canning?

Step-by-step explanation:

The equation to find the proportion painted is: \(\mathbf{c = \frac{7}{8}x}\)

Let the size of the art be x.

In the morning, she paints 3/4 of x.

So, we have:

\(\mathbf{Morning = \frac 34 x}\)

In the evening, she paints 1/8 of x.

So, we have:

\(\mathbf{Evening = \frac 18 x}\)

So, the amount of project painted is:

\(\mathbf{c = Morning + Evening}\)

This gives

\(\mathbf{c = \frac 34x + \frac 18x}\)

Take LCM

\(\mathbf{c = \frac{6x + x}8}\)

Add the numerator

\(\mathbf{c = \frac{7x}8}\)

So, we have:

\(\mathbf{c = \frac{7}{8}x}\)

Hence, the equation to find the proportion painted is: \(\mathbf{c = \frac{7}{8}x}\)

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Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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The number of miles in 4 weeks is 20 mules

From the question, we have the following parameters that can be used in our computation:

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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