Find the mean of the number of batteries sold over the weekend at a convenience store. Round two decimal places. Outcome X 2 4 6 8 0.20 0.40 0.32 0.08 Probability P(X) a.3.15 b.4.25 c.4.56 d. 1.31

Answer:

0.875

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator. Have a good day :)

Yes, the given function is a solution of the given equation.


(a) y = sin x x2, y'' - y' = x2 - 2
By substituting the given function into the equation, we can confirm that it is a solution:
y = sin x x2
y'' = 2x sin x + 2x2cos x
y' = x2cos x
y'' - y' = 2x sin x + 2x2cos x - x2cos x = x2 - 2

(b) y = 2e3t - e2t, y'' - y' = 3y - 2e2t
By substituting the given function into the equation, we can confirm that it is a solution:
y = 2e3t - e2t
y'' = 6e3t - 4e2t
y' = 6e3t - 2e2t
y'' - y' = 6e3t - 4e2t - 6e3t + 2e2t = 3y - 2e2t
Therefore, the given function is a solution of the given equation.

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Answer:

A) 42 is the correct answer, I just did .84 times 50 and that equals 42.

Step-by-step explanation:

The probability density function of y = e^x when x is normally distributed.

If x is normally distributed with mean μ and variance σ^2, then y = e^x is a log-normal distribution with the following probability density function:

f(y) = (1 / (y * σ * sqrt(2π))) * e^(-((ln y - μ)^2 / (2σ^2)))

where ln y is the natural logarithm of y.

To see why this is the case, we can use the change of variables formula for probability density functions. Let g(x) = e^x, so that y = g(x). Then, the inverse function is x = ln y, and we can compute the derivative of the inverse function as dx/dy = 1/y.

Using the change of variables formula, we have:

f(y) = f(g^(-1)(y)) * |(dg^(-1)/dy)(y)|

where f(g^(-1)(y)) is the probability density function of x, and |(dg^(-1)/dy)(y)| is the absolute value of the derivative of the inverse function evaluated at y.

Plugging in the normal distribution density function for f(x) and the derivative dx/dy = 1/y, we get:

f(y) = (1 / (y * σ * sqrt(2π))) * e^(-((ln y - μ)^2 / (2σ^2)))

This is the probability density function of y = e^x when x is normally distributed.

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The triangle with side lengths of  48 in., 56 in., and 83 in.  is obtuse, because 832> 48² +56²

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

The side lengths of the triangles are 48 in., 56 in., and 83 in

The smallest side lengths are: 48 in., 56 in

The sum of the squares of these side lengths is

48^2+ 56^2

For the triangle to be obtuse, then the following must be true

83^2> 48² +56²

Evaluate the exponents

6889> 5440

The above inequality is true.

Hence, the triangle is obtuse, because 83^2> 48² +56²

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Answer:

False

Step-by-step explanation:

Trust me

False statement the angle of depression is the angle formed is not above the horizontal line​.

The angle of depression is defined as the angle obtained by any object below the horizontal line which is used as the reference line.

Here in the question, they are asking The angle of depression is the angle formed above the horizontal line​ this statement is true or false.

If you will follow the above definition of the angle of depression you will see that the given statement is false.

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Answer:

The variable representation is x, x+2 and x+4 for this sequence.

Step-by-step explanation:

Given that:

The sum of 3 consecutive even numbers is 78.

Let,

The first even number is represented by x.

As the numbers are consecutive, thus,

First even number = x

Second even number = x+2

Third even number = x+4

Hence,

The variable representation is x, x+2 and x+4 for this sequence.

Alfred Russel Wallace was a naturalist and explorer who is known for independently conceiving the theory of evolution by natural selection at the same time as Charles Darwin.

In addition to this, he made significant contributions to the study of biogeography, which is the study of the distribution of species around the world. Wallace observed that certain forces kept the populations of species in check, which prevented them from growing infinitely and overrunning their environment. Some of the forces he identified included competition for resources such as food, water, and habitat, predation by other species, disease, and environmental factors such as temperature, rainfall, and soil fertility.

He also noted that these forces varied from place to place, which led him to propose the concept of biogeographic regions. Wallace's work helped to establish the modern field of biogeography and shed light on the complex interactions that shape the diversity and distribution of life on Earth.

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The equivalent expression is:

\((m^5)^{1/2} = \sqrt{m^5}\)

Which is the one in option A.

Here we start with the expression:

\(m^{5/2}\)

Now, remember that:

\(\sqrt{x} = x^{1/2}\)

\((x^a)^b = x^{a*b}\)

if we define a = 5 and b = 1/2, we get:

\(m^{5/2} = (m^5)^{1/2}\)

Using the first property, we get:

\((m^5)^{1/2} = \sqrt{m^5}\)

Then we conclude that the correct option is A.

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Answer:

0.27

0.18

0.21

60 packes because it costs 18 cents per pack and others are higher cost than that.

Step-by-step explanation:

5.49/20=027

10.97/60=0.18

18.95/90=0.21

so the best value will be box of 60 packs

Answer:

11x - 10

Step-by-step explanation:

ab is half the line and bc is the other half

so if you add them together that should be the answer.

6x - 7 + 5x - 3

11x - 10

Answer:

what percent of 60 is 45, = 45/60 = x/100 = 75%,  16 is 20% of what number = 16/x = 20/100 = 80 not 75,  12.6 is 28%of what number = 45

Step-by-step explanation:

just trust me this would be to long to put on this space but if you have any queztions on why I ordered it this way just ask me.

The 95% confidence interval for the standard deviation of the height of the students is given by (1.541 – 4.059) .

Total number of students = 19 , hence n = 19

Standard deviation = 2.8 , hence s = 2.8

95% confidence interval, hence α = 1 - 0.95 = 0.05 .

Now the confidence interval is calculated using the formula:

\((\sqrt{\frac{(n-1)s^2}{\chi_{n-1,\alpha/2}^2}},\sqrt{\frac{(n-1)s^2}{\chi_{n-1,1-(\alpha/2)}^2}})\)

And the normal distribution.

Now we will substitute the values of the variables to finds the interval.

\((\sqrt{\frac{(19-1)2.8^2}{\chi_{19-1,0.05/2}^2}},\sqrt{\frac{(19-1)2.6^2}{\chi_{19-1,1-(0.05/2)}^2}})\\\\(\sqrt{\frac{94.64}{26.119}},\sqrt{\frac{94.64}{5.629}})\)

⇒ 1.541 – 4.059

Therefore the confidence interval is (1.541 – 4.059) .

A confidence interval is a collection of estimates for an unknown parameter (CI). However, other thresholds, like 90% or 99%, may also be used on occasion to produce confidence intervals. The most common confidence level has risen to be 95%.

The confidence level is a measurement of the proportion of long-term associated CIs that include the parameter's true value. For instance, 95% of all intervals generated at the 95% confidence level should contain the parameter's real value.

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Answer:

250 tagged 5500 total = 15 tagged x total x=330 fish were sampled.

Step-by-step explanation:

A biologist estimated that there were 5500 fish in a lake in which 250 fish had been tagged. A ranger collected a sample in which there were 15 tagged fish. Approximately how many fish were in the sample the ranger collected?

the probability that a randomly chosen woman from this group is between 5 feet 2.4 inches and 5 feet 5.6 inches tall is approximately 0.68 or 68%.

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

5 feet 2.4 inches = 62.4 inches

5 feet 5.6 inches = 65.6 inches

Next, we need to standardize these heights using the formula:

z = (x - μ) / σ

where x is the height we're interested in, μ is the mean height, and σ is the standard deviation. Using this formula, we get:

z1 = (62.4 - 64) / 1.6 = -1

z2 = (65.6 - 64) / 1.6 = 1

This range is within one standard deviation of the mean, so using the empirical rule, we can estimate that about 68% of women in this group are between these heights.

Therefore, the probability that a randomly chosen woman from this group is between 5 feet 2.4 inches and 5 feet 5.6 inches tall is approximately 0.68 or 68%.

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Answer:

165 inches

Step-by-step explanation:

The scale is 1 to 60, so real measurements are 60 times bigger than drawing measurements.

2.75 inches * 60 = 165 inches

Answer:

7

Step-by-step explanation:

If you divide 8y / 8  then you have to do the same thing to 56. When you do, y  = 7

Answer:

Step-by-step explanation:

I got it right on I-ready.

Hope this helps!

From: Aug1e

The exact value of sin(α + β) is -16/65.

To find the exact value of sin(α + β), we can use the trigonometric identities and the given information about the values of sinα and sinβ.

We are given:

sinα = 3/5 (α in quadrant I)

sinβ = 5/13 (β in quadrant II)

Let's use the sum formula for sine:

sin(α + β) = sinα * cosβ + cosα * sinβ

To evaluate sinα, we need to find cosα using the Pythagorean identity:

sin²α + cos²α = 1

Given sinα = 3/5, we can solve for cosα:

(3/5)² + cos²α = 1

9/25 + cos²α = 1

cos²α = 1 - 9/25

cos²α = 16/25

cosα = ± √(16/25)

cosα = ± 4/5

Since α is in quadrant I, cosα is positive:

cosα = 4/5

Similarly, we need to find cosβ using the Pythagorean identity:

sin²β + cos²β = 1

Given sinβ = 5/13, we can solve for cosβ:

(5/13)² + cos²β = 1

25/169 + cos²β = 1

cos²β = 1 - 25/169

cos²β = 144/169

cosβ = ± √(144/169)

cosβ = ± 12/13

Since β is in quadrant II, cosβ is negative:

cosβ = -12/13

Now, substitute the values of sinα, cosα, sinβ, and cosβ into the sum formula for sine:

sin(α + β) = (3/5) * (-12/13) + (4/5) * (5/13)

sin(α + β) = -36/65 + 20/65

sin(α + β) = -16/65

Therefore, the exact value of sin(α + β) is -16/65.

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Answer:

x = 4

Step-by-step explanation:

\(5^{9x} =25^{4x+2}\)

First you need to get a common base as your number.

\(5^{9x} =5^{2(4x+2)}\)

The second number changed because 5 squared is 25. Changing it to this form gives us the same base number of 5. Now we use the distributive property in the exponent.

\(5^{9x} =5^{8x+4}\)

Now we can use this statement:

\(A^{m} =A^{n}\) if \(m=n\)

Using this we solve:

9x = 8x+4

-8x  -8x

x = 4

Hope it helps!

Answer:

1%

Step-by-step explanation:

since there are 12 months in a year, 12 divided by 12 = 1   therefore it's 1% per month

Answer:

6 quarts

Step-by-step explanation:

2 pints = 1 quart

4 cups = 1 quart

• 5 pints of orange juice

5 pints = 5/2 =>2.5 quarts

• 6 cups of grape juice

6 cups = 6/4 => 1.5 quarts

• 8 cups of apple juice

8 cups = 2 quarts

2.5 + 1.5 + 2 = 6 quarts

The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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Ans10.44

Step-by-step explanation:

sorry about my last answer! i was trying to leave it tocome back this might be ut

The expression 2(w + 3z)² can be visualized using an area model as the total area of a rectangle that is divided into four smaller rectangles with dimensions w, 3z, w, and 3z, respectively.

An area model is a graphical representation of a mathematical expression or equation that uses rectangles to represent the different parts of the expression.

Each rectangle has a width and a height that correspond to the variables or coefficients in the expression. The area of each rectangle corresponds to the value of the term it represents.

To represent the expression 2(w + 3z)² using an area model, we can draw a rectangle with a width of 2(w + 3z) and a height of w + 3z, as shown below:

+-----------------------------+

|                             |

|                             |

|                             |

|         w + 3z              |

|                             |

|                             |

|                             |

+-----------------------------+

             2(w + 3z)

We can then divide the rectangle into four smaller rectangles, as shown below:

+-------+-------------+-------+

|       |             |       |

|       |             |       |

|       |             |       |

|  w    |      3z     |   w   |

|       |             |       |

|       |             |       |

|       |             |       |

+-------+-------------+-------+

   w           3zw           w

Each of the four smaller rectangles has an area of w(2w + 6z) or 2zw(2w + 6z), so the total area of the larger rectangle is:

Area = 2(w + 3z)²

    = 2(w² + 6wz + 9z²)

    = 2w² + 12wz + 18z²

We can interpret this area as the sum of the areas of the four smaller rectangles.

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Answer:

I believe A would be the correct one, but I'm not 100% sure, none of the others make any sense and it looks like there may be a typo on A.

Step-by-step explanation:

If Caitlin were to win a huge sum of cash. In total, she has 49 bills. She adds up $1430. There are twenty and fifty-dollar bills available. The equation 20x + 50y = 1430 is the one that best describes the situation.

Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation.

Given that Caitlin won a bag of cash, she has a total of 49 bills. She adds up to $1430. There are twenty and fifty-dollar notes available.

The system best represents the situation is,

20x + 50y = 1430

Thus, if Caitlin was to win a huge sum of cash. In total, she has 49 bills. She adds up to $1430. There are twenty and fifty-dollar bills available. The equation 20x + 50y = 1430 is the one that best describes the situation.

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Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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Answer:

12.6

Step-by-step explanation:

f(-4.5) means "what is the y-value when x equals -4.5?"

We see that when x = -4.5, our y or f(x) value is 12.6

For accounting purposes, depreciation is an allocation of a cost of an asset.

Both depreciation and amortization are techniques for spreading out an asset's cost throughout its useful life, although they are employed for various asset categories. Whereas amortisation is used for intangible assets like patents, copyrights, and trademarks, depreciation is utilised for tangible assets like buildings, machinery, and equipment. Depreciation is a method used to account for an asset's decline in value as a result of damage or obsolescence. During the course of the asset's useful life, the asset's cost is distributed to match the income it produces.

Depreciation is an accounting technique used to distribute a tangible asset's cost over the course of its useful life.

Hence, for accounting purposes, depreciation is an allocation of a cost of an asset.

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Answer:

yes

Step-by-step explanation:

you do that when you have a minus sign and a negative an example is like if you have 4-(-10)=? if you look at the part where its -(- it looks like a positive + so you add them so this is equal to 14, and when you are multiplying 2 negatives they both equal a positive an example is like -4 times -5 this equals 20, but if you have -5+-3=? this equals -8 because you are adding the numbers.

Hope this helps =)