How many people ate at least 1 banana last week?
Explain your answer.

Answer:

12.483

Step-by-step explanation:

\(S=\pi r\sqrt{r^{2} +h^{2} }\)

\(121=\pi 3\sqrt{3^{2} +h^{2} }\)

\(121 =9.425\sqrt{3^{2} +h^{2} }\)

\(12.838^{2} =\sqrt{3^{2} +h^{2} }^{2}\)

\(164.814=3^{2} +h^{2}\)

\(164.814=9 +h^{2}\)

\(155.814=h^{2}\)

\(\sqrt{155.814}=\sqrt{ h^{2}\)

12.483=h

Answer:

The mean is ^6

Step-by-step explanation: To figure out the mean, add up the numbers, 7+3+5+2+9+10=36 then divide it by how many numbers you have 36/6=6

The predicted percentage of adolescents having a cell phone in 2022 for state 13 if the percentage in 2012 was 25.3 is given as follows:

49.85.

From the image given at the end of the answer, we are given a table of the percentages from 2012 and from 2022, thus a linear regression equation is built from this table.

The points on the table are given as follows:

(11.9, 25.9), (15.3, 27.1), (16.8, 27.4), (19, 28.9), (21.1, 31.7), (21.3, 41.1), (21.4, 40), (21.5, 42), (22.1, 50.9), (24.6, 43.7), (28.7, 52.6), (30.8, 72.3).

Inserting these points into a linear regression calculator, the line of best fit is given as follows:

y = 2.335x - 9.23.

In which:

Hence the predicted percentage for 2022 is given as follows:

y = 2.335(25.3) - 9.23 = 49.85.

The problem is given by the image shown at the end of the answer.

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The 53586077 is composite, we can use Fermat's Little Theorem for primality testing. The theorem states that if p is a prime number and a is any positive integer less than p, then

\(a^(p-1) ≡ 1 (mod p).\)

Let's take a positive integer a = 2 as our witness. We need to calculate\( 2^(53586077-1) mod 53586077\) and check if it's equal to 1.

\(2^(53586076) mod 53586077 = 3639153\) (using a calculator or software)

Since 3639153 is not equal to 1, this shows that 53586077 is composite, and 2 is a valid witness.

For the Carmichael number 294409, we need to find a nontrivial square root of 1 modulo 294409. A nontrivial square root of 1 is an integer x such that x^2 ≡ 1 (mod 294409) and x ≠ 1 or x ≠ -1 (mod 294409).

Let's take a = 3 as our witness. We need to calculate 3^((294409-1)/2) mod 294409:

\(3^147204 mod 294409 = 1\) (using a calculator or software)

Now, we need to find 3^((294409+1)/2) mod 294409:

\(3^147205 mod 294409 = 294408 \)(using a calculator or software)

Since 1 and 294408 are the trivial square roots of 1 (mod 294409), 3 is not a valid witness for this Carmichael number. However, using trial and error with other witnesses, we can eventually find a nontrivial square root of 1, proving that 294409 is composite.

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Answer:

The first one.

Step-by-step explanation:

You need to add those two meters together.

Answer:

x = 52

Step-by-step explanation:

The triangle is isosceles. The markings tell us that.

The 76 is not opposite either one of the equal sides. Let the angle values opposite the equal sides be x

x + x + 76 = 180                      All triangles = 180

2x + 76 = 180                         Subtract 76 from both sides.

2x = 180 - 76

2x = 104                                 Divide both sides by 2

x = 104/2

x = 52

So x = 52

Answer:

fromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfrom

Step-by-step explanation:

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{0}) \implies y +2= 3 (x -0) \\\\\\ y+2=3x\implies y=3x-2\)

The period of a function is the horizontal distance between two consecutive points on the graph that have the same value.

It represents the length of one complete cycle or repetition of the function. To find the period of a function, we need to identify the portion of the function that repeats itself.

To identify the period of the function, we need to determine if there is a pattern in the function or if it resembles any standard periodic functions such as sine or cosine.

Once we identify the pattern, we can determine the period.

Asymptotes are imaginary lines that the graph of a function approaches but never crosses. They can be vertical, horizontal, or slant.

To identify the asymptotes of a function, we need to determine the behavior of the function as it approaches infinity or negative infinity. If the function approaches a certain value or line as the input increases or decreases without bound, that value or line is an asymptote.

It's important to note that not all functions have asymptotes. Some functions have vertical asymptotes, horizontal asymptotes, or both.

Let's consider an example to illustrate these concepts:

Example:
Given the function f(x) = 2sin(3x), let's identify the period and the asymptotes.

The function f(x) = 2sin(3x) represents a sine function with an amplitude of 2 and a frequency of 3.

To find the period, we can use the formula: period = 2π/|b|, where b is the coefficient of x in the function.

In this case, the coefficient of x is 3. Therefore, the period is: period = 2π/|3| = 2π/3.

So, the period of the function f(x) = 2sin(3x) is 2π/3.

As for the asymptotes, since this is a sine function, it does not have any vertical asymptotes. However, if we had a function involving a rational expression, we would need to check for vertical asymptotes by setting the denominator equal to zero and solving for x.

In terms of horizontal asymptotes, a sine function does not have any horizontal asymptotes either.

In conclusion, the function f(x) = 2sin(3x) has a period of 2π/3 and does not have any asymptotes.

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Answer:

140m

Step-by-step explanation:

3/4 = .75

x/.7 = 150/.75

multiply both sides by .7

x = 150/.75 * .7

x = 140m

The probability of a Type I error is 0.2 or 20%. This means that there is a 20% chance of rejecting the null hypothesis when it is actually true.

The power of a hypothesis test is the probability of rejecting the null hypothesis when the alternative hypothesis is true. In this case, the power of the test is given as 0.8, and the null hypothesis is that the true value of the parameter is 10, while the alternative hypothesis is that the true value is 8.

We are given the sample size, n = 25, and the standard deviation, σ = 4. To calculate the probability of a Type I error, we need to determine the significance level of the test, denoted by α.

The significance level is the probability of rejecting the null hypothesis when it is actually true. It is usually set before conducting the test, and commonly set at 0.05 or 0.01.

To calculate α, we can use the following formula:

α = 1 - power = 1 - 0.8 = 0.2

So, the probability of a Type I error is 0.2 or 20%. This means that there is a 20% chance of rejecting the null hypothesis when it is actually true.

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Answer:

domain from -5 to -3 and range from-1 to 4

Step-by-step explanation:

domain is your x (think x marks the spot on your domain), and range your y

Yes, any quadratic function can be transformed from vertex form to standard form by multiplying out the squared binomial (x-h)^2, distributing the leading coefficient of a, and then combining like terms.

By this we are trying to mean, that integers that are divisible through two, and which "follow" every other. For instance, 2 and four are consecutive even integers due to the fact each numbers are integers, divisible through two, and four is the following even integer large than 2.

Consecutive even integers are even integers that comply with every different via way of means of a distinction of 2. If x is a good integer, then x + 2, x + 4, x + 6 and x + eight are consecutive even integers. You can constitute consecutive even integers with the subsequent expression: 2n + 2 with n = zero, 1, 2, 3.... and so on.

A variety this is divisible via way of means of 2 and generates a the rest of zero is known as a good variety. Examples of even numbers are 2, 4, 6, eight, 10, etc. For example, count on you've got got ten goodies. These chocolates can be divided into groups, every having 5 chocolates.

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Answer:

2h10min

Step-by-step explanation:

France's local time is 1 hour ahead in Britain's time => the train arrived at 01:13 in Britain's time

We can switch 22:57 to 10:57pm, and 01:13 to 13:13am
Add 3 minutes to 10:57,we get 11pm
13:13 - 11 = 2h13
Minus 3 minutes, we get 2h10

The probability of getting at least 75% paper towel on a randomly selected roll is 0.85 or 85%

The probability distribution function of X if X ~ U(a,b) is

f(x) = 1/(b-a) if a ≤x≤b

    = 0, otherwise

The amount of paper towel on a roll is distributed between 0 m^2 and 500 m^2

∴ a = 0 and b= 500

f(x) = 1/500 when 0≤x≤500

     =  , otherwise

The probability that a randomly selected roll has 75 m^2 of paper towel on it at least

P( X≥ 75) = \(\int\limits^{500}_{75} {f(x)} \, dx\)

              = \(\int\limits^{500}_{75} {1/500} \, dx\)

              = (1/500) * \([x]_{75}^{500}\)

              = (500 - 75)/ 500

              = 0.85

Find the probability:

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Answer:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

Step-by-step explanation:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

The true statement is:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top . A cone has one face . There are no edges for a cone.

Properties of Cone

As, from the properties of cone we can say that.

A cone is one-third the size of a cylinder with the same height and radius. and, : A cone has a circular base..

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The equation y² - x⁵ = -7 at x = 2 and y = 5, the value of dy/dx is 8.

To find dy/dx for the equation y² - x⁵ = -7 at x = 2, y = 5, follow these steps:

1. Differentiate both sides of the equation with respect to x using implicit differentiation.

Differentiating y² with respect to x, we get 2y(dy/dx).
Differentiating -x⁵ with respect to x, we get -5x⁴.

So, we have: 2y(dy/dx) - 5x⁴ = 0.

2. Plug in the given values of x and y into the differentiated equation.

Substitute x = 2 and y = 5: 2(5)(dy/dx) - 5(2⁴) = 0.

3. Solve for dy/dx.

First, simplify the equation: 10(dy/dx) - 80 = 0.

Next, add 80 to both sides: 10(dy/dx) = 80.

Finally, divide both sides by 10 to get: dy/dx = 8.

So, for the equation y² - x⁵ = -7 at x = 2 and y = 5, the value of dy/dx is 8.

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Answer:

$855.65

Step-by-step explanation:

Multiply 785 by 0.09 to get the sales tax amount which is 70.65.

Add the sales tax amount to the price of the dining set to get cost after tax.

Answer:

4*4=16

Step-by-step explanation:

Answer:

ITS 22 MY G

Step-by-step explanation:

When a function  f(x)  undergoes a horizontal shift to the right by 4 units followed by a horizontal stretch by a factor of 3/2, the resulting transformed function can be represented as
g(x) = (3/2) * f(x - 4)

Horizontal shift right 4 units:

To shift the function to the right by 4 units, we replace x with (x - 4) in the function. This causes the graph of the function to shift 4 units to the right.

Horizontal stretch by a factor of 3/2:

To stretch the function horizontally by a factor of 3/2, we multiply the entire function by 3/2. This causes the x-values to be compressed towards the y-axis.

Overall, the transformation can be represented as:

g(x) = (3/2) * f(x - 4)

In this equation, g(x) represents the transformed function, f(x) represents the original function, (x - 4) represents the horizontal shift to the right, and (3/2) represents the horizontal stretch.

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The value of c in the equation, 1/5c = 2 1/2 when divided is 12 1/2.

Fractions are numbers that are non integers. They are ususally made up of numerators and denominators. The numerator is the number above and the denominator is the number below.

In order to determine the value of c, divide 2 1/2 by 1/5

2 1/2 ÷ 1/5

Convert the mixed fraction to an improper fraction

5/2 x 5 = 25/2 = 12 1/2

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Answer:

Step-by-step explanation:

30 students 15 have brown eyes 5 of the 15 are boys

1/3 chance a boy with brown eyes will be chosen.

1/2 a chance a student with brown eyes will be chosen

An exponential function (y = 3 * 2^(x-1)) or a power function (y = 3x^2) would better model this data. To determine the best function to model the data in a table, we need to analyze the differences or ratios between the data points and choose the function that best fits the pattern.

To determine which kind of function best models the data in the table, we need to analyze the differences or ratios between the data points. If the differences between the data points are consistent, a linear function would be the best model. However, if the ratios between the data points are consistent, an exponential or power function would be more appropriate.

For example, if we have a table with the following data points:

x     y
1     2
2     4
3     6
4     8

We can see that the differences between the y values are consistent, as they all increase by 2. Therefore, a linear function (y = 2x) would best model this data.

On the other hand, if we have a table with the following data points:

x     y
1     3
2     6
3     12
4     24

We can see that the ratios between the y values are consistent, as they all increase by a factor of 2.

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The McKinsey GE Matrix, also known as the General Electric Matrix, is a strategic management tool used to assess and prioritize a company's portfolio of business units.

The McKinsey GE Matrix evaluates business units based on two key dimensions: market attractiveness and competitive strength.

1. Market Attractiveness: This dimension assesses the attractiveness of the market in which the business unit operates. Factors considered may include market size, growth rate, profitability, industry trends, competitive dynamics, and regulatory environment. The market attractiveness score helps identify the potential for growth and profitability in a particular market.

2. Competitive Strength: This dimension evaluates the competitive strength of the business unit within its market. It takes into account factors such as market share, brand reputation, technological capabilities, distribution channels, product quality, cost structure, and customer loyalty. The competitive strength score helps assess the business unit's ability to outperform competitors and achieve sustainable competitive advantage.

The McKinsey GE Matrix consists of a 9-cell grid, with market attractiveness on the y-axis and competitive strength on the x-axis. Each business unit is plotted on the matrix based on its scores in these dimensions. The matrix is divided into three zones: Invest/Grow, Select/Earn, and Harvest/Divest.

- Invest/Grow: Business units located in this zone have high market attractiveness and strong competitive strength. They are considered promising opportunities for growth and investment. Companies should allocate resources to these units to capitalize on their potential and drive market expansion.

- Select/Earn: Units in this zone have moderate market attractiveness and competitive strength. Companies need to carefully evaluate and decide whether to selectively invest in these units to enhance their performance or maintain their current level of earnings.

- Harvest/Divest: Units in this zone have low market attractiveness and weak competitive strength. They may be in declining markets or face strong competition. Companies should consider divestment or strategic restructuring to minimize losses and reallocate resources to more promising areas.

The McKinsey GE Matrix provides a visual representation of a company's business unit portfolio and helps prioritize resource allocation based on market attractiveness and competitive strength. It assists in identifying growth opportunities, managing risks, and making strategic decisions to enhance overall business performance.

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