In the circle below, EG is a diameter and EF is tangent at E. Suppose mEF = 124°. Find the following. Does anyone know this?

The answers are:

a. population standard deviation σ = 0.1 ounce

b. standard deviation of the sampling distribution sx = 0.0268 ounce.

Given,

Sample size = n = 15

Mean weight = 2 ounces

Standard deviation = s = 0.12 ounces

Population standard deviation = σ = 0.1 ounces

The formula to calculate the standard deviation of the sampling distribution of the sample mean is given as:

σx = σ/√n

Where, σx is the standard deviation of the sampling distribution of the sample mean.

σ is the population standard deviation.

n is the sample size.

Now, substitute the given values in the above formula:

σx = 0.1/√15

σx ≈ 0.0268

So, the standard deviation of the sampling distribution of the sample mean is σx = 0.0268.

Therefore, the answers are:

a. σ = 0.1 ounce

b. σx = 0.0268 ounce.

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The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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Answer:  20

Explanation:

Answer:

The tree was 40 in tall when planted

The tree's growth rate is 10in per year

Ten years after Planting, it is 140 inches tall

Step-by-step explanation:

original(slope intercept form) : y = 10x + 40

y = 10(10) + 40

y = 100 + 40

y = 40

Answer:

24.88

Step-by-step explanation:

If the scale of the drawing is 1:30, it means that the vehicle drawing is 30 times smaller than the actual vehicle.

With the above information in mind, we can calculate the length of the vehicle in inches:

Finally we convert inches to feet(dividing inches by 12):

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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Answer: #18 is (1/2,0)

#19 (0,-1)

#20 5

#21 8√2 or 11.313708498985

Step-by-step explanation:

The  required general solution for the given equation is

y(x) = \(e^{(-x/2)(C1 sin(\sqrt{(7/2)x} )}\) + C2 cos(√(7/2)x)) + \(e^{(-x/2)(C3 sin(\sqrt{(21/2)x }\)+ C4 cos(√(21/2)x))

here

C1, C2, C3 and C4 = constants determined by initial conditions.

It is given to us

y = sin(x) is a solution of y⁴ + 2y"' + 11y" +2y' + 10y = 0, by the method of undetermined coefficient we can calculate the general solution.

we evaluate the differential equation by considering that

y = \(e\sqrt{(rx)}\). We get r⁴ + 2r³ + 11r² + 2r + 10 = 0.

After factorizing the equation as

(r² + r + 2)(r² + r + 5) = 0.

The  evaluated roots of this equation are

r = -1/2 ± i√(7/2) and r = -1/2 ± i√(21/2).

We know that sin(x) is a solution of the differential equation,

Therefore, y = A sin(x) + B cos(x) is also a solution.

Now implementing the roots that we have derived, the general solution is

y(x) = \(e ^{(-x/2)(C1 sin(\sqrt{(7/2)x\)+ C2 cos(√(7/2)x)) + \(e ^{(-x/2)(C3 sin\sqrt{((21/2)x)} }\)+ C4 cos(√(21/2)x))

The  required general solution for the given equation is

y(x) = \(e^{(-x/2)(C1 sin(\sqrt{(7/2)x} )}\) + C2 cos(√(7/2)x)) + \(e^{(-x/2)(C3 sin(\sqrt{(21/2)x }\)+ C4 cos(√(21/2)x))

here

C1, C2, C3 and C4 = constants determined by initial conditions.

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The line that is not another name for Q is RL

For a line to represent the point Q, the following must be true:

Using the above highlights,

Hence, the line that is not another name for Q is RL

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Answer:

(-4,-9)

Step-by-step explanation:

vertex form: y=a(x-h)^2+k

hk=vertex of x and y

inside parentheses=horizontal (opposite signs)

that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses

Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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Answer:

188

Step-by-step explanation:

The relationship between the ratios of sin x° and cos yº is that they are reciprocals. The correct answer is option c. The ratios of sin x° and cos yº are reciprocals of each other.

In trigonometry, sin x° represents the ratio of the length of the side opposite the angle x° to the length of the hypotenuse in a right triangle. Similarly, cos yº represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Since the hypotenuse is the same in both cases, the ratios sin x° and cos yº are related as reciprocals. This means that if sin x° is equal to 12/13, then cos yº will be equal to 13/12. The reciprocals of the ratios have an inverse relationship, where the numerator of one ratio becomes the denominator of the other and vice versa.

It's important to note that the signs of the ratios can vary depending on the quadrant in which the angles x° and yº are located. However, the reciprocal relationship remains the same regardless of the signs.

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we are subtracting a larger number (251) from a smaller number (1), the result is negative. Therefore, the final answer is to 1-251 is -250.

When we subtract a larger number from a smaller number, the result will always be negative. So, in this case, when we subtract 251 from 1, the answer will be negative.

To find the answer, we can start by subtracting the ones place:

 1
- 2 5 1
-------
-2 5 0

Since we are subtracting a larger number (251) from a smaller number (1), the result is negative. Therefore, the final answer is -250.
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You haven't mentioned any questions...

Answer:

(3x2 - 4y4) • (9x4 + 12x2y4 + 16y8

Answer: 16% of men wanted sports cars

Step-by-step explanation:

25% - 9% = 16%

Answer:

I believe its 66, I'm not fully sure

Answer:

27 is the correct answer

Answer:

27

Step-by-step explanation:

The answers are:

\((a) \( \vec{a} \times \vec{b} = 7.0 \vec{i} + 42.0 \hat{j} - 43.0 \hat{k} \)(b) \( \vec{a} \cdot \vec{b} = 46.56 \)(c) \( (\vec{a}+\\)

\((a) To find the cross product of vectors \( \vec{a} \) and \( \vec{b} \), we can use the formula:\[ \vec{a} \times \vec{b} = (a_yb_z - a_zb_y) \vec{i} + (a_zb_x - a_xb_z) \hat{j} + (a_xb_y - a_yb_x) \hat{k} \]Substituting the values:\[ \vec{a} \times \vec{b} = (5.0 \cdot 1.4 - 8.6 \cdot 0) \vec{i} + (8.6 \cdot 5.0 - 4.6 \cdot 1.4) \hat{j} + (4.6 \cdot 0 - 5.0 \cdot 8.6) \hat{k} \]Simplifying the expression, we get:\[ \vec{a} \times \vec{b} = 7.0 \vec{i} + 42.0 \hat{j} - 43.0 \hat{k} \]\)

\((b) To find the dot product of vectors \( \vec{a} \) and \( \vec{b} \), we can use the formula:\[ \vec{a} \cdot \vec{b} = a_xb_x + a_yb_y + a_zb_z \]Substituting the values:\[ \vec{a} \cdot \vec{b} = (4.6 \cdot 8.6) + (5.0 \cdot 1.4) + (0 \cdot 0) \]Simplifying the expression, we get:\[ \vec{a} \cdot \vec{b} = 39.56 + 7.0 + 0 \]\[ \vec{a} \cdot \vec{b} = 46.56 \]\)

\((c) To find the dot product of \( (\vec{a}+\vec{b}) \) and \( (\vec{a}+\vec{b}) \), we can use the same formula as in part (b).Substituting the values:\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = (4.6+8.6) \cdot (4.6+8.6) + (5.0+1.4) \cdot (5.0+1.4) + (0+0) \cdot (0+0) \]\)

\(Simplifying the expression, we get:\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = 13.2 \cdot 13.2 + 6.4 \cdot 6.4 + 0 \]\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = 174.24 + 40.96 + 0 \]\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = 215.2 \]Therefore, the results are:(a) \( \vec{a} \times \vec{b} = 7.0 \vec{i} + 42.0 \hat{j} - 43.0 \hat{k} \)(b) \( \vec{a} \cdot \vec{b} = 46.56 \)(c) \( (\vec{a}+\\)

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d

the answer is d

Step-by-step explanation:

the answer is d

Answer: 360 feet, or 3/44 of a mile

Step-by-step explanation: One yard is 3 feet, and 1760 yards are in a mile

False; Side-by-side box plots may not be the most appropriate plot to explore the data in a two-way design with one factor having three levels and the other factor having two levels

In a two-way design with one factor having three levels and the other factor having two levels (3x2 design), side-by-side box plots of the first factor separated by levels of the second factor may not be the best plot to explore the data. Box plots are useful for visualizing the distribution of a single variable, but they may not effectively display the interactions between the two factors in a two-way design.

To explore the data in a two-way design, it is often more informative to use interaction plots or interaction effects plots. These plots show the relationship between the two factors and how their effects interact. An interaction plot displays the mean or median of the response variable for each combination of the two factors, and it includes separate lines or bars for each level of one factor within each level of the other factor.

By examining the interaction plot, you can assess whether the effects of one factor differ depending on the level of the other factor. This provides insights into the interaction between the two factors and helps identify any significant differences or patterns in the data.

Using side-by-side box plots in a two-way design may not adequately capture the interaction effects and may overlook important insights about the relationship between the factors. Therefore, alternative plots, such as interaction plots, are more suitable for exploring the data in a 3x2 design.

Side-by-side box plots may not be the most appropriate plot to explore the data in a two-way design with one factor having three levels and the other factor having two levels (3x2 design). Interaction plots or interaction effects plots are better suited for visualizing the interaction effects between the two factors and capturing the relationships in the data.

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The slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

The slope of a line can be defined a number that describes the direction and steepness of the line.

It is also known as gradient

It is denoted by the letter 'm'

Thus, the slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

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Answer: it would be B "4.05"

Step-by-step explanation:

2.5 x 1.8 x 0.9 = 4.05

Answer:

4.05 m^3

Step-by-step explanation:

Calculate volume with this formula:

LxWxH (length x width x height)

0.9 x 2.5 x 1.8 = 4.05

Don't forget the unit! It's m^3 or m³ since we are finding the volume of a three-dimensional figure.

So our answer is 4.05 m^3.

Answer:

Median

Step-by-step explanation:

A line that goes from the vertex of a triangle to the midpoint of the opposite side is a median.

Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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Answer:

a)Claims: P>0.5("MOST" of the adult erase their personal information)

b)Statistics test= 4.746

Step-by-step explanation:

we were given {p}=60% =0.60

where n= 563

since most of adults erase all their personal information online, then (p> 0.5

p=0.5

q=1-p=1-0.5=0.5

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

The value of the statistic test is 4.746 and this can be determined by using the given data.

Given :

A software firm survey of 563 randomly selected adults showed that 60% of them would erase all of their personal information online if they could.

It is given that \(\rm \bar{P}\) = 60% = 0.60 and n = 563.

Claim: Most adults would erase all of their personal information online if they could that means (P > 0.5). Therefore:

q = 1 - P = 1 - 0.5 = 0.5

Now, to determine the value of the statistic test, the following formula can be used:

\(\rm \dfrac{\bar{P}-P}{\sqrt{\dfrac{Pq}{n}} } = \dfrac{0.6-0.5}{\sqrt{\dfrac{0.5\times0.5}{563}} }=4.746\)

Therefore, the value of the statistic test is 4.746.

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Answer: Alexa sold 28 and Tara sold 21.

Step-by-step explanation: Refer to photo :)

The compound statement is not entirely clear as it contains several separate expressions. However, I can break down and analyze each of the parts:

7 + 1 2 7: This is a mathematical expression that represents the sum of 7, 1, and 27, which evaluates to 35.

7,1,7: This is a list of three individual numbers.

7+1: This is a mathematical expression that represents the sum of 7 and 1, which evaluates to 8.

74157: This is a five-digit number with no apparent mathematical relationship to the other expressions.

7+1=7: This is a mathematical equation that tests the equality of the expressions 7+1 and 7. Since 7+1 is not equal to 7, this equation is false.

27: This is a single number that is not obviously related to the other expressions.

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