Three of the 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected item is defective?What is the probability?

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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He can buy less οr equal tο 14 shirts with the mοney left and The inequality that represents this situatiοn is s (stands fοr shirts) ≤ 14.

In Mathematics, it is the relatiοnship between twο values that are nοt equal. Inequality means twο values that are nοt equal. When the situatiοn is  tο cοmpare the values, '≤' οr '≥' sign are used.

Hey team can spend nο mοre than $300 οn shirts the team has already spent $80.

300- 80 = 220

220/ 15 = 14.6

Let us say s be the number οf shirts.

Then the inequality will be s≤14

As the numbers οf shirts cant be a fractiοnal term sο we cοnvert the fractiοnal term tο the integer οne.

Hence, the inequality that represents the situatiοn is s≤14.

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Answer:

Step-by-step explanation:

Answer:

The correct option is B. Pyramids have triangular faces and a polygonal base.

Answer:B. Pyramids have triangular faces and a polygonal base.

Step-by-step explanation:

A pyramid is a three-dimensional shape that has a polygonal base and triangular faces that meet at a single point called the apex. Here's how to identify which of the given descriptions best suits a pyramid:

A. Pyramids have polygonal faces and a triangular base.

This description is incorrect because pyramids have a polygonal base, not a triangular base.

B. Pyramids have triangular faces and a polygonal base.

This description is correct because it correctly identifies that pyramids have triangular faces and a polygonal (meaning multi-sided) base.

C. Pyramids have triangular faces and a circular base.

This description is incorrect because pyramids have a polygonal base, not a circular base.

D. Pyramids have polygonal faces and a polygonal base.

This description is partly correct because pyramids do have a polygonal base, but their faces are always triangular.

E. Pyramids have curved faces and a polygonal base.

This description is incorrect because pyramids have flat, triangular faces, not curved faces.

So, in summary, option B, "Pyramids have triangular faces and a polygonal base," is the description that best suits a pyramid.

The result of the number 1 trillion to the 10th power as required to be determined is; 10¹²⁰.

The result of the number 1 trillion to the 10th power is as follows;

Recall; 1 trillion = 1,000,000,000,000 = 10¹²

Hence; 1 trillion to the 10th power is; ( 10¹² )¹⁰.

From the laws of indices; we therefore have that;

= 10¹²⁰

Ultimately, the result is; 10¹²⁰.

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The mistake that Katie made in the stem and leaf diagram, was that she D. Missed a length.

Looking at the stem and leaf diagram, we see that there are 14 leaves. This means that there are 14 lengths of caterpillars. However, there are 15 lengths shown on the table.

This means that there is a length missing that Katie failed to account for. Upon close inspection of the stem and leaf plot, we find that the missing length is a second value of 70 because there are two lengths that are 70 but this is shown only once on the stem and leaf plot.

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Given that the electrical resistance of a wire varies directly with the length of the wire and inversely with the square of the diameter of the wire, you can identify that it is a Combined Variation.

By definition Combined Variation Equations have this form:

Where "k" is the Constant of Variation.

Let be "r" the electrical resistance (in ohms) of the wire, "l" the length of the wire (in feet), and "d" the diameter of the wire (in millimeters).

Knowing the above, you know that the equation that represents this situation has this form:

You know that the resistance is 1.22 ​ohms when the wire is 433 feet long and 4 millimeters in diameter. Therefore, you can substitute values and solve for "k":

Substitute "k" and the following values into the equation and then solve for "l", in order to solve the exercise:

You get:

Hence, the answer is:

Answer:

x < 7

Step-by-step explanation:

-8x + 40 > -16

     - 40     -40

-----------------------

-8x     >   -56

----          -----

-8          -8

-----------------

x < 7

[RevyBreeze]  

According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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Answer:the correct order is 2√6 cm > 2√3 cm > √2 cm.

Step-by-step explanation:I got it correct on edmentum

Answer: 10%

Step-by-step explanation:

2 out of 20 people are willing to pay a maximum of 4.01 to 5 which is 0.10 which equals 10%

Answer:

3/6 or 1/2

Step-by-step explanation:

the amount that chose pizza = 2/6

5/6 = the amount that chose pizza + the amount that chose tacos

5/6 = 2/6 + the amount that chose tacos

the amount that chose tacos = 5/6 - 2/6

the amount that chose tacos = (5-2)/6

the amount that chose tacos=3/6=1/2

Answer:

3/6

Step-by-step explanation:

The inequality is used to find the domain of the given function is

5x-5 ≥ 0

A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.

Given is function y = √(5x-5)+1, we have to find which inequality can be used to find the domain.

Since, the function is a square root function.

We know that,

The square root function is defined only for the positive values, including 0. i.e. the expression inside the square root must be greater than or equal to 0.

The expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :

5x-5 ≥ 0

Hence, the inequality is used to find the domain of the given function is 5x-5 ≥ 0

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The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Original price = $13.45

Discount = 15%

Taxes = 6%

1.- Calculate the price with discount

13.45 ---------------------- 100

x ----------------------- 15

x = (15 x 13.45) / 100

x = 201.75/100

x = $2.0175

13.45 - 2.0275 = $11.4325 Price with discount

2.- Price plus taxes

11.4325 --------------------- 100

x --------------------- 6

x = (6 x 11.4325) / 100

x = 68.595 / 100

x = $0.686

Payment = 11.4325 - 0.686

= $ 10.7466

Answer:

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Herb spent 55 hours at the library.

Fractions defines a part of a whole and are represented as a numerical value. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Total time spent in the Library = 1/6 + 1/4 + 1/2

Total time spent = 11/12 x 60 mins

Total time spent = 55 hours

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The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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Lucille is being charged a simple interest rate of 0.4, or 40%.

To determine the simple interest rate Lucille is being charged, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, the principal (P) is $1500, the time (T) is 6 months (or 0.5 years), and the total amount to be paid back (A) is $1500 + $300 = $1800. We need to find the rate (R).

Interest = Principal × Rate × Time

$300 = $1500 × R × 0.5

Simplifying the equation:

$300 = $750R

To isolate R, we divide both sides of the equation by $750:

$300 / $750 = R

0.4 = R

Therefore, Lucille is being charged a simple interest rate of 0.4, or 40%.

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\(\bf Step-by-step~explanation:\)

Kareem's statement: 4:1 is equal to 12:9. Let's see if this is correct.

\(\bf Step ~1:\)

We have to simplify the ratios. Since 4:1 is already simplified, we do not have to do anything with it. 12:9 could be simplified. To do so, we need to find the greatest common factor (GCF) of both numbers. The GCF of 12 and 9 is 3. Since 3 is the GCF for both numbers, we divide them by 3.

\(\bf 12 /3=4\\9/3=3\)

First number: 4

Second number: 3

Ratio: 4:3

\(\bf Step~2:\)

We compare the ratio 4:3 to 4:1. Since they have different values, they are not equivalent to each other.

\(\large\boxed{\bf Our~final~answer: ~Kareem~is~wrong.}\)

\(\bf {Explanation~in~Step~1}\)

4 : 1 and 12 : 9 are not equivalent

Kareem is wrong

Correct question:

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because

4 + 8 = 12 and 1 + 8 = 9. Is Kareem correct? Explain how you know

4 : 1 is in its simplest form already

12 : 9

= 12/9

= 4/3

= 4 : 3

Therefore,

4 : 1 and 12 : 9 are not equivalent

Kareem is wrong based on his assumption that 4 + 8 = 12 and 1 + 8 = 9

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The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

1. 0.07x

2. 0.07x + 35

Explanation:

Katie should collect 7% of the rental fee for tax. So, we can find the 7% of any amount multiplying the amount by 0.07.

Then, the algebraic expression that represents the tax that Katie will collect is:

0.07·x

Where x is the amount of the rental fee.

Then, if Katie will collect a gratuity of $35, the expression that represents the total amount of additional money is:

0.07x + 35

Where 0.07x is the amount for the taxes and 35 is the amount for the gratuity.