What is the probability that the first account containing substantial errors will occur on or after the fifth audited account

Answer:

80. 8 packs of buns and 10 packs of hot dogs.

Step-by-step explanation:

8x10= 80

10x8= 80

The percentage change in the interest rate is -80%. This means that the interest rate needs to be reduced by 80% to achieve an increase in the amount of money by 25% in t/2 years time.

The interest on a loan or principal sum can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more.

Let the original sum of money be P.

According to the question, if P is deposited at a simple interest rate of r% p.a. for t years, it will be doubled. This means that the interest earned on P after t years is P, i.e.,

I = P

The formula for simple interest is I = (P * r * t) / 100. Substituting I = P, we get:

P = (P * r * t) / 100

Simplifying, we get:

r = 100 / t

Now, the question states that if the same amount of money (P) is increased by 25% in t/2 years time, the new amount becomes:

P' = P + (0.25P) = 1.25P

Let the new rate of interest be r'.

The formula for simple interest is I' = (P' * r' * t/2) / 100. Substituting P' = 1.25P, we get:

I' = (1.25P * r' * t/2) / 100

The interest earned on P' after t/2 years is 1.25P - P = 0.25P. Therefore, we have:

I' = 0.25P

Substituting the value of I' in the above equation, we get:

0.25P = (1.25P * r' * t/2) / 100

Simplifying, we get:

r' = 20 / t

The percentage change in the interest rate is given by:

((r' - r) / r) * 100%

Substituting the values of r and r', we get:

((20/t - 100/t) / (100/t)) * 100%

= -80%

Therefore, the percentage change in the interest rate is -80%. This means that the interest rate needs to be reduced by 80% to achieve an increase in the amount of money by 25% in t/2 years time.

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The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Given:

The total 5 yards of thread on the spool.

Convert yard into meters.

For 5 yards to meters is,

Allison uses 3.5 meters of the thread, the thread remains is,

Answer: The thread left will be approximately 1.072 meters.

pretty sure it’s D

hope that helps

The cylindrical coordinates of the point whose rectangular coordinates x= -3 y=5 and z=-1  are r=√34, θ= -1.03 and z= -1

Two real number lines that meet at a right angle make up the rectangular coordinate system. The x-axis refers to the horizontal number line, and the y-axis to the vertical number line.

To convert the rectangular coordinates to the cylindrical coordinates, we use the formulas:

r = √(x² + y²)

θ = atan(y/x)

z = z

Plugging in the given values, we get:

r = √((-3)² + 5²) = √(9 + 25) = √(34)

θ = atan(5/(-3)) = -1.03 (approximately)

z = -1

Therefore, the cylindrical coordinates of the point are (√(34), -1.03, -1).

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The midterm grades is the grade that is more unusual

for the midterm

the mean = 80 + 78 + 85 + 82 + 79 +79 + 78 + 86 + 80 + 84 / 10

= 81.1

Then the standard deviation is

Variance = [(80-81.1)² + (78-81.1)² + (85-81.1)² + (82-81.1)² + (79-81.1)² + (79-81.1)² + (78-81.1)² + (86-81.1)² + (80-81.1)² + (84-81.1)²] / 10

sd = 2.961

z = 86-81.1/2.961

= 1.66

For the final

Mean = (81 + 88 + 68 + 69 + 69 + 81 + 82 + 86 + 76 + 71) / 10

= 771 / 10

= 77.1

Therefore, the mean of the given numbers is 77.1.

To find the standard deviation, we first need to find the variance. The variance is calculated by finding the average of the squared differences between each number and the mean:

Variance = [(81-77.1)² + (88-77.1)² + (68-77.1)² + (69-77.1)² + (69-77.1)² + (81-77.1)² + (82-77.1)² + (86-77.1)² + (76-77.1)² + (71-77.1)²] / 10

SD = 7.490

z= (86-77.1) / 7.490 = 1.188

Given that 1. 66 is greater that 1.188, we would have to conclude that the midterm is more unusual

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Complete question

The midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Jaymes's wants to know which grade is more unusual, the midterm grade or the final exam grade. Use Use a TI-83, TI-83 Plus, or TI-84 calculator to calculate the z-scores corresponding to each grade. Round your answer to three decimal places.

Midterm 80, 78, 85, 82, 79, 79, 78, 86, 80, 84,

final 81, 88, 68, 69, 69, 81, 82, 86, 76, 71

Alyssa buys a 5 pound bag of rocks for a fish tank. She uses 1 1/8 pounds for a small fish bowl. So we need to find how much is left.

5 - 1 1/8

=40/8 - 9/8

=31/8

=3 7/8 pounds of rocks left.

Therefore, 3 7/8 pounds of rocks are remaining. The answer can be verified as follows:

If we add 1 1/8 pounds of rocks used to 3 7/8 pounds of rocks remaining, then we will get 5 pounds, which is the total amount of rocks Alyssa initially purchased. This is because the addition of the quantities of the rocks used and the remaining rocks should always equal the total quantity of rocks.

Therefore, our answer is correct and can be supported by this check. Alyssa bought a 5 pound bag of rocks for a fish tank and used 1 1/8 pounds of it for a small fish bowl.

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Answer:

W= -6

Step-by-step explanation:

-4w = -5 + 29

-4w = 24

Divide both sides by -4

=

W = -6

Answer:

you change w to the other side then proceed as you normally would

Answer:

\frac{d}{dx}\left(x^2+16x+63\right)=2x+16

Step-by-step explanation:

Answer:11

Step-by-step explanation:

Answer:

x = 15, y = 75

Step-by-step explanation:

hope it helps

Answer:

1 1/2 mile or 6/4 mile

Step-by-step explanation:

Every half hour he rides 3/4

Just multiply 3/4 by 2 which equals 6/4 or 1 1/2

Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.

Given the diameter of the balloon = 55 ft

Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft

Rate of change of radius = 1.5 ft/min.

The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)

                                                              = 87069.583 \(ft^3\)

Two- thirds of the volume = (2/3) x 87069.583 = 58046.389  \(ft^3\)

Let R be the radius of the balloon with two-thirds of its maximum volume.

Then, \(\frac{4}{3}\pi R^3\) =  58046.389

⇒          \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583

⇒            \(R=13864.583^\frac{1}{3}\)

⇒           R = 24.023 ft

Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.

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Answer:

A) 16 minutes

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

  3.  · (times)

Step-by-step explanation:

You want to know the operation that will give a binomial result from the expressions (3y^6 +4) and (9y^12 -12y^6 +16).

The like terms in the two expressions are 3y^6 and -12y^6, or +4 and +16. Combining these terms by addition or subtraction will not result in the elimination of either the y^6 term or the constant term. Hence addition or subtraction cannot result in a binomial.

We know that the sum of cubes is factored into the product of a binomial and a trinomial:

  a³ +b³ = (a +b)(a² -ab +b²)

Comparing this form to the given binomial and trinomial, we see that we can choose ...

  a = 3y^6

  b = 4

to make the given factors match exactly. That tells us their product will be a binomial sum:

  (3y^6 +4) × (9y^12 -12y^6 +16) = (3y^6)^3 +(4)^3 = 27y^18 +64

The operation "times" (·) will result in a binomial.

The x component of the vector sum is -8.95 m and the y component of the vector sum is 18.78 m. The magnitude of the vector sum is 21.17 m and the angle made by the vector sum with the positive direction of the x-axis is 115.5 degrees.

To find the x and y component of the vector sum, we need to use the formula: r_x = a cos(theta_1) + b cos(theta_2) r_y = a sin(theta_1) + b sin(theta_2)

Plugging in the given values, we get: r_x = (13.5 m) cos(33 deg) + (13.5 m) cos(107 deg) r_x = -8.95 m

r_y = (13.5 m) sin(33 deg) + (13.5 m) sin(107 deg) r_y = 18.78 m

To find the magnitude of the vector sum, we use the Pythagorean theorem: |r| = sqrt((r_x)^2 + (r_y)^2) |r| = sqrt(((-8.95 m)^2) + ((18.78 m)^2)) |r| = 21.17 m

To find the angle made by the vector sum with the positive direction of the x axis, we use the formula: theta = atan(r_y / r_x)

Plugging in the values, we get: theta = atan((18.78 m) / (-8.95 m)) theta = 115.5 deg

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Answer:

GD = 5/2 sqrt 2 = 2½ sqrt 2

EG = 5/2 sqrt 6 = 2½ sqrt 6

Answer:

$6.72

Step-by-step explanation:

1.68 is 7% of 24, so there is a 7% tax.

96x.07= 6.72

Answer:  The sales tax would be 6.72

Step-by-step explanation: 24 is 1/4 of 96 so that means that you have to multiply the sales tax number by 4 and 1.68 x 4 = 6.72

Work Shown:

V = pi*r^2*h

V = pi*(x^3)^2*x^2

V = pi*x^(3*2)*x^2

V = pi*x^6*x^2

V = pi*x^(6+2)

V = pi*x^8

Answer:

πx^8

Step-by-step explanation:

V=πr²h

Now plugin r=x³ and h=x² in the formula above:

V=π(x³)²(x²)     multiply powers 3x2=6

=π(x^6)(x²) = πx^8     add powers 6+2=8

The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

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Answer:

Area

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1

Answer:c= the price will be of $9, 492

Step-by-step explanation:

Hope this helps

The volume of the solid generated by revolving the region enclosed by the triangle about the y-axis is 32π cubic units.

We apply method of cylindrical shells in order to find the volume:

The triangle has  vertices of  (4,2), (4,6), and (6,6)

The height of the triangle is 6 - 2 = 4 units

the base of the triangle =  4 units.

Integrating the volume of cylindrical shells, we have:

Volume = ∫(2πx)(dy)

Volume = ∫(2π(4))(dy)

Volume = 8π ∫(dy)

Volume = 8π(y)

Volume = 8π(6 - 2)

Volume = 32π cubic units

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Answer:

x= 100

Step-by-step explanation:

straight line = 180⁰

180-(70+10)= 100

Answer:

See below.

Step-by-step explanation:

For a rational function, the equation is \(\displaystyle \large{f(x)=\frac{a}{b(x-c)}+d}\) where:-

We are given a function \(\displaystyle \large{f(x)=\frac{1}{x}-1}\) . Examine the function, we know that:-

Additional Info

  - Asymptote line is a line that the graph tends to approach but never intersects.

From the information we have, first - draw both vertical asymptote and horizontal asymptote to make it easier to draw a graph.

Then draw a rational function’s graph as it tends to 0 when x = 0 and -1 when x tends to both sides of infinity.

You should receive a graph below that I made, see the attachment. The purple line represents the horizontal asymptote and y-axis is our vertical asymptote.

If you have any questions, do not hesitate to ask in comment!

The vectors u1 = (1, 1/2, 0) and u2 = (0, 0, 1) span the set p. Any vector in p can be written as a linear combination of u1 and u2.

To find two vectors, u1 and u2, such that the span of {u1, u2} is equal to the set p = {(x1, x2, x3) : 2x1 − x2 + 4x3 = 0}, we can solve the equation 2x1 − x2 + 4x3 = 0 and express the solution in terms of vectors.

First, we rewrite the equation as a linear combination:

2x1 − x2 + 4x3 = 0

x1 = (1/2)x2 - 2x3

Now we can express the solution as:

(x1, x2, x3) = (1/2)x2(1, 1/2, 0) + (-2)x3(0, 0, 1)

Therefore, the vectors u1 = (1, 1/2, 0) and u2 = (0, 0, 1) span the set p. Any vector in p can be written as a linear combination of u1 and u2.

The vector u1 = (1, 1/2, 0) represents a point in the plane where x1 and x2 are related by the equation 2x1 − x2 + 4x3 = 0. The vector u2 = (0, 0, 1) represents a point in the plane where x3 can take any value. Together, u1 and u2 span the entire plane defined by the equation. Any point (x1, x2, x3) in the plane p can be expressed as a linear combination of u1 and u2

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Answer:

Write the parameters. then replace the letters of symbols with the given parameters and solve

Answer:

no you're not wrong go with your gut

Step-by-step explanation: