Please help me, it’s due in 35 mins. Please & thank you *SHOW YOUR WORK*

An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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If Laura had 2 good pictures for every 3 bad pictures, we can calculate the total number of pictures she took by considering the ratio between good and bad pictures.

Let's assume x represents the number of bad pictures Laura took. According to the given ratio, she had 2 good pictures for every 3 bad pictures. Therefore, the number of good pictures can be expressed as (2/3) * x.

Since we know that Laura took a total of 72 good pictures, we can set up the equation:

(2/3) * x = 72

To solve for x, we can multiply both sides of the equation by (3/2):

x = (72) * (3/2)

x = 36 * 3

x = 108

Therefore, Laura took a total of 108 bad pictures.

To find the total number of pictures she took in all, we can add the number of good and bad pictures:

Total pictures = Good pictures + Bad pictures

Total pictures = 72 + 108

Total pictures = 180

Therefore, Laura took a total of 180 pictures.

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Answer

I think its C which is 112

Answer:

112

Step-by-step explanation:

i did the math

The function is \(e^{(x^3)}\) whose Maclaurin expansion is 1 + \(x^3\) + \((x^6)\)/2! + \((x^9)\)/3! + \((x^{12} )\)/4! + ...

The Maclaurin series of a given function is represented as a sum of terms with increasing powers of x and decreasing factorials. The Maclaurin series you provided is:

1 + \(x^3\) + \((x^6)\)/2! + \((x^9)\)/3! + \((x^{12} )\)/4! + ...

This series can be rewritten as:

∑ \((x^{(3n)} )/n!\) for n=0 to infinity.

This expansion resembles the Maclaurin series for \(e^x\), which is:

\(e^x\) = ∑ \(x^n\)/n! for n=0 to infinity.

However, in the given series, the powers of x are in multiples of 3. To adjust the standard exponential function to match the provided series, you can use the substitution \(x^3\) = u:

\(e^u\) = ∑ \(u^n\)/n! for n=0 to infinity.

Now, substitute \(x^3\) back for u:

\(e^{(x^3)}\) = ∑ \((x^{(3n)} )/n!\) for n=0 to infinity.

Therefore, the function whose Maclaurin expansion matches the given series is f(x) = \(e^{(x^3)}\).

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The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

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For A: Bar graph; for B: Histogram; for C: Pie chart; and for D:  Bar graph would be appropriate graphical representations.

a. The number of sales for your online company on each of the seven days in the past week:

The best graphical display to use here would be a bar graph. This is because a bar graph is appropriate for showing the distribution of a categorical variable, and the days of the week can be considered a categorical variable. The bar graph can clearly show the number of sales for each day of the week, making it easy to compare sales across days.

b. The amounts of each of the sales on Monday of the past week:

A histogram would be the best choice for this scenario. A histogram is used to represent continuous data, and sales amounts are continuous data. The histogram can be used to show the frequency of sales amounts within a specific range, providing a clear visual representation of the distribution of sales amounts on Monday.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week:

A Pareto chart would be the best choice for this scenario. A Pareto chart is used to show the relative frequency or size of problems or categories, with the largest categories displayed on the left and the smallest on the right. The Pareto chart can clearly show the number of items bought by each customer, making it easy to see which customers made the most purchases.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week:

A bar graph would be the best choice for this scenario. This is because a bar graph can clearly show the distribution of the total sales amount for each customer, making it easy to compare the total sales among customers.

"

Complete question

Which graphical display should you use? For each of the following scenarios, decide which graphical display (pie chart, bar graph, Pareto chart, stemplot, or histogram) you would use to describe the distribution of the variable. Give a reason for your choice and if there is an alternative choice that would also be reasonable, explain why your choice was better than the alternative.

a. The number of sales for your online company on each of the seven days in the past week.

b. The amounts of each of the sales on Monday of the past week.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week.

"

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If both conditions are satisfied, then (x, y) is an element of A x B.

To prove that one set is a subset of another set, you need to show that every element of the first set is also an element of the second set. This can be done using the subset notation and logical reasoning.

Let's say we have two sets, A and B. To prove that A is a subset of B, we need to show that for every element x in A, x is also an element of B.

Formally, the proof can be structured as follows:

Assume that x is an arbitrary element of A.

Show that x belongs to B.

Since x was arbitrarily chosen from A and it belongs to B, we can conclude that every element of A is also an element of B.

Therefore, A is a subset of B.

To determine if something is an element of a Cartesian product, you need to consider the definition of the Cartesian product and check if the given element satisfies the required conditions.

The Cartesian product of two sets A and B, denoted as A x B, is the set of all ordered pairs (a, b) where a is an element of A and b is an element of B.

To check if an element (x, y) belongs to the Cartesian product A x B:

Verify if x is an element of set A.

Verify if y is an element of set B.

If both conditions are satisfied, then (x, y) is an element of A x B.

Keep in mind that the Cartesian product can be extended to more than two sets by taking the Cartesian product of each set successively.

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Answer:

Step-by-step explanation:

The correct answer is: c. The n-th error term (e_n) can be predicted with e_n = 0.91 * e_n - 1.

This statement indicates that there is a correlation or relationship between consecutive error terms, where the n-th error term can be predicted based on the previous error term. In a simple linear regression model, the error terms are assumed to be independent and have no correlation with each other.

However, if there is a correlation between the error terms, it violates the assumption of independence, which can lead to biased and unreliable regression results. Therefore, this condition suggests that the result from the simple linear regression model could be potentially misleading.

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To increase 600 by 8/3%, we can use the formula: New value = Old value + (Percent increase/100) x Old value. So, Rounding off to the nearest whole number, we get: New value ≈ 616

Using this formula, we can calculate the new value of 600 as follows:

New value = 600 + (8/3)% x 600

First, we need to convert the percent to a decimal by dividing it by 100:8/3% = 8/3 ÷ 100 = 0.0266

Substitute this value into the formula:

New value = 600 + 0.0266 x 600

Simplify by multiplying: New value = 600 + 15.96

New value = 615.96

Rounding off to the nearest whole number, we get: New value ≈ 616

Therefore, the correct answer should be approximately 616

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Answer:

p = 7

Step-by-step explanation:

Step 1: Subtract 2p from both sides.

5p − 9 − 2p = 2p + 12 − 2p

3p − 9 = 12

Step 2: Add 9 to both sides.

3p − 9 + 9 = 12 + 9

3p=21

Step 3: Divide both sides by 3.

\(\frac{3p}{3}\) = \(\frac{21}{3}\)

p = 7

Answer:

x^2 + 4xy + 4y^2

Step-by-step explanation:

hope this helps

Answer:

x² + 4xy + 4y²

Step-by-step explanation:

(x + 2y)²

= (x + 2y)(x + 2y)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 2y) + 2y(x + 2y) ← distribute parenthesis

= x² + 2xy + 2xy + 4y² ← collect like terms

= x² + 4xy + 4y²

The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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Answer:

not sure what your asking.... is there a file you can submit?

Step-by-step explanation:

We can use the Pythagorean Theorem to find the diagonal length of the suitcase. Let the diagonal length be represented by d. Then,

d^2 = 24^2 + 10^2

d^2 = 576 + 100

d^2 = 676

d = sqrt(676)

d = 26

Therefore, the diagonal length of the suitcase is 26 inches. So the answer is option D.

Answer: 10 miles

Step-by-step explanation:

You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:

3x = 30.00

and then divide both sides by 3:

x = 10

So she traveled 10 miles.

The Taxi ride was 10 miles.

An equation is an expression that shows the relationship between two or more numbers and variables.

We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out the miles she traveled.

Then subtract 3.20 from both sides:

3x = 30.00

then divide both sides by 3;

x = 10

Therefore, she traveled 10 miles.

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Answer:

i) 104 °F

ii) 343 °K

Step-by-step explanation:

We have the relationship between temperature in degrees Fahrenheit(y) and degrees Kelvin(x) as:

\(y\:=\:\dfrac{9}{5}\left(x-273\right)+32\)

i) When temperature in Kelvin is 313°K, the equivalent temperature in °F is:
\(\begin{aligned}y &= \dfrac{9}{5}(313-273) + 32\\& = \dfrac{9}{5}(40) + 32\\&= 9 \cdot 8 + 32\\\\&= 72 + 32\\\\& = 104^\circ F\end{aligned}\\\)

So at 313°K, the equivalent temperature is 104°F

\(====================================\)

ii) We are given the temperature in degrees Fahrenheit and asked to find the temperature in degrees Kelvin

We have the equation for temperature conversion from °K to °F  as:
\(y\:=\:\dfrac{9}{5}\left(x-273\right)+32\)

Let's manipulate this equation so that x is given in terms of y

Here x = degrees Kelvin and y = degrees Fahrenheit

Given y = 158°F, just plug in this value into the equation for x giving
\(\begin{aligned}x &= \dfrac{5}{9}(158 - 32) + 273\\& = \dfrac{5}{9}(126) + 273\\&= 70 + 273\\&= 343\end{aligned}\)

Therefore temperature in °K for temperature 158°F = 342 °K

To approximate the integral ∫[a, b] f(x)dx using the Trapezoidal Rule, we divide the interval [a, b] into n equal subintervals of width Δx = (b - a) / n. In this case, we have n = 5.

The Trapezoidal Rule formula is given by T = Δx/2 * [f(a) + 2f(a + Δx) + 2f(a + 2Δx) + ... + 2f(a + (n-1)Δx) + f(b)].

In the provided expression, the function f(x) is given as f(x) = 2/(x) + 2/(x^3) + 2/(x) + ... + 2/(x-2) + 27(x-1) + 1(x). The interval [a, b] is not specified, so we'll assume it's from -a to a.

To use the Trapezoidal Rule, we need to determine the values of a and b. In this case, it seems that a is missing, and we are given a function expression in terms of x. Without knowing the specific values of a and x, we cannot compute the integral or provide an approximation using the Trapezoidal Rule.

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Answer:

Step-by-step explanation:

71/25=2.84

Hope this helps x

Answer:

2.84

Step-by-step explanation:

71 ÷ 25 = 2.84

A box of 30 pieces of chocolate candies contains approximately 424.11 cubic units of chocolate.

The volume of a sphere can be calculated using the formula:

V = (4/3) * π * r^3

where V is the volume, π is pi (approximately 3.14), and r is the radius of the sphere.

Since the diameter of each candy is 3, the radius is half of that, or 1.5. We can plug this value into the formula to find the volume of one piece of candy:

V = (4/3) * π * r^3

V = (4/3) * 3.14 * 1.5^3

V ≈ 14.137

So one piece of candy has a volume of approximately 14.137 cubic units. To find the total amount of chocolate in a box of 30 candies, we can simply multiply the volume of one candy by the number of candies in the box:

Total volume = 14.137 * 30

Total volume = 424.11

Therefore, a box of 30 pieces of chocolate candies contains approximately 424.11 cubic units of chocolate.

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The missing lengths are:

AB= 7.211 unit

CD = 5.83 unit

EF = 10.77 unit

GH = 6.088 unit

Using Pythagoras Theorem we get

AB² = 6² + 4²

AB² = 36 + 16

AB² = 52

AB= 7.211

Again, CD²= 5² + 3²

CD² = 25 + 9

CD = 5.83

Again, EF² = 10² + 4²

EF² = 100 + 16

EF² = 116

EF = 10.77

and, GH² = 6² + 1²

GH² = 36 + 1

GH² = 37

GH = √37

GH= 6.088

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Answer

The price of 1 snowdrop = $1

The price of 1 chocomalt = $2

Explanation

a) The cost of 1 snowdrop = x

The cost of 1 chocomalt = y

1 snowdrop and 2 chocomalts cost $5

x + 2y = 5

2 snowdrops and 3 chocomalts cost $8

2x + 3y = 8

The two equations brought together is

x + 2y = 5

2x + 3y = 8

To plot this graph, we use the red line to indicate x + 2y = 5 and the blue line for 2x + 3y = 8

b)

We can then see that the two lines intersect at the black point which is the purple point according to your question, where

x = 1 and y = 2

c) If we substitute this point of intersection into the equations, we should obtain the two sides of the equation being equal to each other because they would be solutions to the simultaneous expression.

d) x + 2y = 5

2x + 3y = 8

x = 1 and y = 2

x + 2y = 5

1 + 2(2) = 5

1 + 4 = 5

5 = 5

2x + 3y = 8

2(1) + 3(2) = 8

2 + 6 = 8

8 = 8

This indicates that these are the true solutions of this simultaneous equation.

Hope this Helps!!!

Answer:

there's nothing there..

Step-by-step explanation:

Answer:

i need the question to answer though

Step-by-step explanation:

Answer:

The variable "a" can represent anything except a negative number since it is negative 38 on the opposite end, so put 1 or anything higher to make this equation true. :D

Step-by-step explanation:

The statement is false.

O(nlogn), commonly known as loglinear complexity, denotes that n times will be required to perform logn operations.

The term "1 half n (n space plus log space n )space" is equivalent to O(n log n) which is a class of functions that grow asymptotically no faster than n log n.

On the other hand, the term "omicron (n squared)" is equivalent to o(n^2), which is a class of functions that grow asymptotically slower than n^2.

As a result, it is untrue to say that there is a single half-n (n space plus log n)space element in the omicron (n squared) space.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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The percentage of Measurements that are 124.4 or higher is approximately 0.99%.

In order to determine the percentage of measurements that are 124.4 or higher in a population of measurements that is approximately normal with a mean of 95 and a standard deviation of 15, we need to use the z-score formula.

The z-score formula is used to standardize a distribution so that it can be compared to a normal distribution with a mean of 0 and a standard deviation of 1.

The formula for calculating the z-score is: z = (x - μ) / σWhere:x is the measurement we want to standardize.μ is the population mean.σ is the population standard deviation.

The first step is to calculate the z-score for the measurement of 124.4:z = (124.4 - 95) / 15z = 2.2933The second step is to find the percentage of measurements that are 124.4 or higher using a standard normal distribution table. We look up the area to the right of the z-score of 2.2933 in the table.

The closest value in the table is 0.9901, which corresponds to a z-score of 2.33. We know that the area to the left of a z-score of 2.33 is 0.9901, so the area to the right of a z-score of 2.33 is:1 - 0.9901 = 0.0099

This means that approximately 0.99% of the measurements are 124.4 or higher.

Therefore, the percentage of measurements that are 124.4 or higher is approximately 0.99%.

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