Calculate the length of the diagonal, d, of this cylinder

The probability of Dhruv selecting a compact car, P(compact car), is 4/25, or approximately 0.16 when rounded to 2 decimal places.

We want to find the probability of Dhruv selecting a compact car (P(compact car)) when there are 13 trucks, 8 vans, and 4 compact cars at the dealership.

To find P(compact car), follow these steps:

1. Calculate the total number of vehicles:

13 trucks + 8 vans + 4 compact cars = 25 vehicles.

2. Determine the number of compact cars: 4 compact cars.

3. Calculate the probability: P(compact car) = (Number of compact cars) / (Total number of vehicles) = 4 / 25.

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The distance between both Amanda and Jasper and the bear is approximately 66.05 feet.

To determine the distance between Amanda and Jasper and the bear, we can use the law of sines, which states that for any triangle ABC with side lengths a, b, and c, and opposite angles A, B, and C, we have:

a/sin(A) = b/sin(B) = c/sin(C)

Let's label the distance between Amanda and the bear as a, the distance between Jasper and the bear as b, and the angle between Amanda and Jasper as C. We can then set up two equations using the law of sines:

a/sin(90 - C) = 28/sin(A)

b/sin(90 - C) = 28/sin(B)

Note that the angles A and B are supplementary, so sin(B) = sin(180 - A) = sin(A).

We can simplify these equations to:

a/cos(C) = 28/sin(A)

b/cos(C) = 28/sin(A)

Dividing the second equation by the first, we get:

b/a = cos(C)/cos(C) = 1

Therefore, a = b, which means that the distances between both Amanda and Jasper and the bear are equal.

To find this distance, we can use the law of cosines, which states that for any triangle ABC with side lengths a, b, and c, and opposite angles A, B, and C, we have:

\(c^2 = a^2 + b^2 - 2ab cos(C)\)

Substituting a = b and C = 180 - A, we get:

\(c^2 = 2a^2 - 2a^2 cos(A)c^2 = 2a^2(1 - cos(A))\)

Taking the square root of both sides, we get:

\(c = a \sqrt{(2 - 2 cos(A))\)

Substituting the given values for A and the width of the river:

A = 42 degrees

width of river = 28 feet

We get:

c = a sqrt(2 - 2 cos(42))

Using a calculator, we find that:

cos(42) ≈ 0.7431

Therefore:

c ≈ a \(\sqrt{(2 - 2 cos(42))\) ≈ 66.05 feet

So, the distance between both Amanda and Jasper and the bear is approximately 66.05 feet.

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Answer:

SA=118.14

Step-by-step explanation:

idek how to explain this-

Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.

It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.

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Answer:

c = 106°

Step-by-step explanation:

The unknown angle and c° form a straight line which is 180°

So, c° + unknown angle = 180°

Remember, the sum of interior angles of a trapezoid is 360°

So, 126° + 108° + 52° + unknown angle = 360°

unknown angle = 360° - 126° + 108° + 52°

unknown angle = 74°

Now, c° + 74° = 180°

c = 180° - 74°

c = 106°

A system of two equations with two unknowns is given:

Notice that the variable y is isolated in the second equation. Then. we can solve the system using the substitution method by replacing y in the first equation by the expression from the second equation:

This way, we have obtained a single equation with one unknown that we can solve as usual. Solve for x:

Replace x=-1 into the equation for y to find its value:

Then, the solution to the system is x=-1 and y=-2. As an ordered pair (x,y), the solution point for the given system is:

Babe Ruth's batting average is 0.037 more than that of Hank Aaron's

From the question, we have

difference = 0.342-0.305

=0.037

Babe Ruth's batting average is 0.037 more than that of Hank Aaron's

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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Answer:

9p⁸ + 12p⁴q⁴ + 4q⁸

Step-by-step explanation:

(3p⁴ + 2q⁴)²​ ⇒ The square of (3p⁴ + 2q⁴)

Squares are such bases that multiply itself two times.

⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)

Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)

⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)

⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸

We know the identity

So

\(\\ \rm\Rrightarrow (3p^4+2q^4)^2\)

\(\\ \rm\Rrightarrow (3p^4)^2+(2q^4)^2+2(3p^4)(2q^4)\)

\(\\ \rm\Rrightarrow 9p^8+4q^8+12p^4q^4\)

Done

Answer:

98 bracelets

Step-by-step explanation:

Number of days, n = 6

Evan:

= 10 + 8(n - 1)

= 10 + 8(6 - 1)

= 10 + 8(5)

= 10 + 40

= 50 bracelets

Dorinda

= 8n

= 8(6)

= 48 bracelets

Total bracelets they will make in all = Evan + Dorinda

= 50 + 48

= 98 bracelets

Answer:

17/25

Step-by-step explanation:

P(not red)=Number of Skittles Not Red/Total Number of Skittles

Answer:

4.2 cents

Step-by-step explanation:

Take the total cost and divide by the number of ounces

1.01 /24

0.04208

Round to the nearest tenth of a cent ( 3 decimal places)

0.042

4.2 cents

The given series converges.

To determine whether the series converges or diverges, let's examine the given series:

(-3)^n * 1 / 4^(n-1)

simplify this expression by rewriting 4^(n-1) as (4^n) / 4:

(-3)^n * 1 / (4^n) * (4/4)

Next, rearrange the terms to separate the factors involving n from the constant factors:

(-3/4) * (4/4)^n

Simplifying further:

(-3/4) * (1)^n

Now, let's consider the limit of this expression as n approaches infinity:

lim n→∞ (-3/4) * (1)^n

Since 1 raised to any power remains 1, we have:

lim n→∞ (-3/4) * 1

Therefore, the limit evaluates to:

lim n→∞ (-3/4) = -3/4

The resulting limit is a constant value (-3/4), which means that the series converges.

Hence, the given series converges.

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Answer:

The answer is C. y= 4/5x -2

Step-by-step explanation:

y=mx+b

m is the slope or rise/run.

b is the y-intercept. You have to see where the line crosses at the y-axis.

The center of mass of the right triangle is 2.14

The term center of mass refer a point where the whole mass of the body is supposed to be concentrated.

Here we have given that a 60-cm length of uniform wire, of 60 g mass and negligible thickness, is bent into a right triangle.

And we need to find the center of mass.

According to the following diagram, we have identified the values of

m1 = 24

m2 = 26

m3 = 20

r1 = 5

r2 = 5

r3 = 0

Then based on these values the center of mass is calculated as,

=> [(24 x 5) + (26 x 5) + (20 x 0)]/[24 + 26 + 20]

When we simplify this one then we get,

=> [ 120 + 130 + 0] / 70

Further simplification leads the value of,

=> 150/70

=>15/7

When we simplify this fraction into decimal then we get,

=> 2.14

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Answer: 360% - 7 x 180 rotation

Step-by-step explanation: your welcome

Answer: B: (y + z = 6) × -5

Step-by-step explanation:

if you multiply 'y' by -5 it turns into -5y. Therefore when you add -5y and 5y together, you get 0y which is what you want when eliminating the y-term.

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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The given figure inscribed in the circle is a square.

We know from the properties of a square that all the sides and all the angles of a square are equal.

Also the diagonal bisects each other at 90 degrees.

From the figure we are given;

CD = 14.14

AJ = 10

arc BC = 90 degrees

From the figure and properties of polygons, we can say that;

arc BC = arc CD = arc DE = Arc EB = 90 degree

AJ = AK = AB = AC = AD = AE = 10 = Radius of circle

JL = EC = BD = 20 = diameter of circle (Since, diameter = 2 * radius)

BC = CD = DE = EB = 14.14 = sides of the squares

Thus, the given figure inscribed in the circle is a square.

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Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

Answer:

1.  a b d  e

2.  b c d e

3.  a  d  e

Step-by-step explanation:

Right angles: angles that are 90 degrees

Acute angles: angles that are between 90 to 0 degrees

Obtuse angles: angles that are greater than 90 degrees

Question 1: Name a RIGHT ANGLE:

    Let's take a look at option 1. We're looking for a combination of the letters A, G, and F. If you look at them in order, you will see a square where G is. A square in the center of the angle indicates a right angle, making this selection correct.

    Now lets look at A, F, and D. There is a square at the intersection point, indicating this is a right angle. This is because the E and G line is exactly 90 degrees.

    Now lets look at G, F, and D. This option does not have a square next to the middle letter (F), therefore it is not a right angle. This is an obtuse angle as the angle is more than 90°.

    Looking at B, F, and A, there is a square next to the middle number, therefore this is a right angle. This angle is exactly 90°

    For the last option, I, A, and G, This is a right angle. The degree of this angle is 90°, making this angle right.

    Option 1, 2, 4, and 5 is correct.

Question 2:

    Lets look at option 1, EAF is not an acute angle, yet an obtuse angle

    Option 2, GBD, is an acute angle, as it is less than 90 degrees.

    Option 3, FGA, is a right angle, as it is exactly 90 degrees.

    Option 4, FDA, is an acute angle, because it is less than 90 degrees.

    Option 5, DAF, is an acute angle, because it is less than 90 degrees.

    Option 2, 4, and 5 are correct.

Question 3:

    Option 1: EAF, is an obtuse angle, as it is more than 90 degrees.

    Option 2, EBF, is an acute angle, as it is less than 90 degrees.

    Option 3, DAF, is and acute angle, as it is less than 90 degrees.

    Option 4, CDA, is an obtuse angle, as it is more than 90 degrees.

    Option 5, GFD, is an obtuse angle, as it is more than 90 degrees.

    Option 1, 4, and 5 are correct.

Hope this helps!!

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Answer:

n = 17-13

Step-by-step explanation:

n+13=17

Subtract 13 from each side

n+13-13 = 17-13

n = 17-13

The time it takes to deposit a coating on a decorative drawer handle through a solution depends on various factors, such as the type and concentration of the solution used, the size and shape of the handle, and the method of deposition.

The time it takes to deposit a coating on a decorative drawer handle through a solution depends on various factors, such as the type and concentration of the solution used, the size and shape of the handle, and the method of deposition. In general, the process of depositing a coating through a solution involves immersing the handle in the solution, allowing the coating to adhere to the surface, and then removing the handle and allowing it to dry. This process can take anywhere from a few seconds to several minutes, depending on the variables mentioned above.
To get a more accurate answer to your question, you may need to provide more specific details about the type of solution and coating you are using and the method of deposition. Additionally, you may want to consult with an expert in the field of surface coatings or material science to get a more precise estimate.

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The three angles in the given diagram that are equal to ∠N are; ∠KON ; ∠ION ; ∠IAN

We are given the following about the given triangle;

In triangle NOK, KO = KN

Since KO = KN, it means that triangle NOK is an Isosceles triangle. Thus;

∠KON = ∠N

Since I is the point on KN such that; OI = ON

Thus, this means that triangle OIN is an Isosceles triangle. Thus;

∠ION = ∠N

Since IA = IN

Thus, this means that triangle IAN is an Isosceles triangle. Thus;

∠IAN = ∠N

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The output of 0.7326 represents the test statistic (Z-score) computed from the 1-sample Z-test in Excel.

It tells you how many standard deviations the sample mean is from the population mean under the null hypothesis.

A test statistic (Z-score) is a numerical value used in statistical hypothesis testing to assess the evidence against the null hypothesis.

A test statistic measures the difference between a sample statistic (eg sample mean) and the corresponding population parameter (eg population mean) assuming the null hypothesis is true.

For the Z-test, the test statistic is computed as

z = (x - μ) / (σ / √n)

where x = sample mean,

μ = population mean,

σ= population standard deviation,

and n = sample size.

The resulting Z-score indicates how many standard deviations the sample mean is from the population mean, assuming the null hypothesis is true.

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This statement is - true.

Two angles that lie in the same plane and have a common vertex and a common side but have no common interior points are the meaning of adjacent angles.

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Answer:

t=15d

Step-by-step explanation:

The problem is asking for total time, so we can set everything equal to t. If it takes 15 minutes for 1 mile and she's walking at a constant speed, we know that the solution is t=15d.

We can plug in one mile to verify this answer.

t=15(1)

t=15

Hope this helped!

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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Answer:

R = 13%

Step-by-step explanation:

P = $4000

I = $780

T = 18 months = 18/12 years

\(I = \frac{PRT}{100} \\\\780 = \frac{ 4000 \times R \times \frac{18}{12}}{100}\\\\780 = \frac{6000 \times R }{100}\\\\780 = 60R\\\\R = \frac{780}{60} = 13 \%\)

Answer:

47.5

Step-by-step explanation:

95 divided by 2 is equal to 47 with a remainder of 1.

To divide 95 by 2, you need to perform long division.

Here's the step-by-step process:

Write the dividend (95) inside the division bracket, and the divisor (2) outside the bracket.

Place the quotient above the division bracket.

__

2 | 95

Start with the leftmost digit of the dividend (9) and divide it by the divisor (2). Since 9 is smaller than 2, we move to the next digit.

__

2 | 95

4

Bring down the next digit of the dividend (5) to the right of the remainder

(1) obtained from the previous step.

__

2 | 95

4 1

Divide 15 by 2. The quotient is 7, and the remainder is 1.

__

2 | 95

47 1

Since there are no more digits in the dividend, we have completed the division.

The quotient is 47, and the remainder is 1.

Therefore, 95 divided by 2 is equal to 47 with a remainder of 1.

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