Refer to Exercise 7.68.
a Based on your answer to Exercise 7.68(a), do you think that the 2004 Florida percentages still apply to recent Gainesville households? b Let Y be the number of Gainesville households that have a hurricane escape plan in a sample of size 50. Use the applet Normal Approximation to Binomial Distribution to determine the value of b so that P(Y ≥ b) is small enough to allow you to conclude that the 2004 Florida percentages do not apply to recent Gainesville households.

The height of the original sculpture in centimeters is 195 cm

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

Scale = 1 : 15

Scale height = 13 cm

Using the above as a guide, we have the following:

13 cm : height = 1 : 15

Express the ratio as fraction

So, we have

height/13 cm = 15/1

Cross multiply

So, we have

height = 13 cm * 15/1

Evaluate

height = 195 cm/1

So, we have

height = 195 cm

Hence, the value of the actial height = 195 cm

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Answer:

The last one, (-6,9)

Step-by-step explanation: For it to be right the nine would have to be negative.

Answer:

I think it's the last one(-6,9) or the third one(6,-1)

Step-by-step explanation:

The median of X is 1;  P(X > 2) = 0; P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0; Var(X) is approximately 0.33; E(X) is 1 and  the value of q such that P(X < q) = 0.95 is 1.9.

(a) To find the median of X, we need to find the value of x for which the cumulative distribution function (CDF) equals 0.5.

Since the PDF is given as f(x) = 1/2 for 0 < x < 2 and 0 otherwise, the CDF is the integral of the PDF from 0 to x.

For 0 < x < 2, the CDF is:

F(x) = ∫(0 to x) f(t) dt = ∫(0 to x) 1/2 dt = (1/2) * (t) | (0 to x) = (1/2) * x

Setting (1/2) * x = 0.5 and solving for x:

(1/2) * x = 0.5;  x = 1

Therefore, the median of X is 1.

(b) To find P(X > x), we need to calculate the integral of the PDF from x to infinity.

For x > 2, the PDF is 0, so P(X > x) = 0.

Therefore, P(X > 2) = 0.

(c) To find the probability that one observation is less than 2 and the other is greater than 2, we need to consider the possibilities of the first observation being less than 2 and the second observation being greater than 2, and vice versa.

P(one observation < 2 and the other > 2) = P(X < 2 and X > 2)

Since X follows a continuous uniform distribution from 0 to 2, the probability of X being exactly 2 is 0.

Therefore, P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0.

(d) The variance of X can be calculated using the formula:

Var(X) = E(X²) - [E(X)]²

To find E(X²), we need to calculate the integral of x² * f(x) from 0 to 2:

E(X²) = ∫(0 to 2) x² * (1/2) dx = (1/2) * (x³/3) | (0 to 2) = (1/2) * (8/3) = 4/3

To find E(X), we need to calculate the integral of x * f(x) from 0 to 2:

E(X) = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1

Now we can calculate the variance:

Var(X) = E(X²) - [E(X)]² = 4/3 - (1)² = 4/3 - 1 = 1/3 ≈ 0.33

Therefore, Var(X) is approximately 0.33.

(e) The expected value of X, E(X), is given by:

E(X) = ∫(0 to 2) x * f(x) dx = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1

Therefore, E(X) is 1.

(f) The value of q such that P(X < q) = 0.95 can be found by solving the following equation:

∫(0 to q) f(x) dx = 0.95

Since the PDF is constant at 1/2 for 0 < x < 2, we have:

(1/2) * (x) | (0 to q) = 0.95

(1/2) * q = 0.95

q = 0.95 * 2 = 1.9

Therefore, the value of q such that P(X < q) = 0.95 is 1.9.

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Answer:

83

Step-by-step explanation:

...........................

Answer:

Mean is greater

Step-by-step explanation:

For a skewed distribution, then the tail is longer to one side from the center than to the other. In a right skewed distribution, the tail is longer to the right.

When a distribution is skewed, the mean will be closer to the tail Than the median. Therefore. For a right skewed histogram, the mean is closer to the tail of the histogram and hence closer to the right. Once this happens, values closer to the right of a distribution are higher (number line). Thus the mean will be greater than the median.

Answer:

Third one

Step-by-step explanation:

The only equation that is even true is the third one.

If the cube of a number is x, then cube root of x is that number.

So the cube of 7^(1/3) is (7^(1/3))^3.

By law of exponents, we have (7^(1/3))^3=7^(1/3×3)=7^1=7.

So the cube of 7^(1/3) is 7, so the cube root of 7 is 7^(1/3).

Answer:

I used desmos and graphed it-

Hope this helps-

The equation y = |x - 5| + |x + 5| can be rewritten as:

y = { -2x - 10, for x < -5,

 { 10, for -5 ≤ x ≤ 5,

 { 2x + 10, for x > 5.

When -5 < x < 5, both |x - 5| and |x + 5| are non-negative. So we can rewrite y = |x - 5| + |x + 5| as follows:

If x < -5, then x - 5 < -5 and x + 5 < 0, so we have:

y = -(x - 5) - (x + 5) = -2x - 10

If -5 ≤ x ≤ 5, then x - 5 < 0 and x + 5 ≥ 0, so we have:

y = -(x - 5) + (x + 5) = 10

If x > 5, then x - 5 ≥ 0 and x + 5 > 5, so we have:

y = (x - 5) + (x + 5) = 2x + 10

Therefore, the equation y = |x - 5| + |x + 5| can be rewritten as:

y = { -2x - 10, for x < -5,

 { 10, for -5 ≤ x ≤ 5,

 { 2x + 10, for x > 5.

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Given question is incomplete, the complete question is below

Rewrite each equation without absolute value for the given conditions. y = |x-5| + |x+5| if -5 < x < 5

Answer:

C)9,5,1,3

a1=9

a2=a(2-1)-4= a1-4= 9-4=5

a3=a(3-1)-4= a2-4= 5-4=1

Hope this will help :-)

Answer:

B,C,E

Step-by-step explanation:

khan academy

Side length of the scaled copy of square is smaller than original.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given,

Scale factor of scaled copy of square is less than 1.

Scale factor basically defines the ratio between the sides of the constructed square to that of the original square.

if scale factor is less than 1 then the sides of the constructed square is smaller than that of the original square.

Hence, side length of constructed square is smaller than the original square.

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Answer:

This is what I think it is but im no good at this so sorry if it is wrong. XP

Step-by-step explanation:

y=4/7x

y*7= 4/7*7x

y*7=4x

7y/4x = 4x/4x

7y/4x=0

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The box plot or any additional information regarding the data. Without any context, it is impossible to determine the numbers that made up the box plot.

A box plot displays a summary of a set of data, including the minimum and maximum values, the median, the first quartile, and the third quartile.

It provides a visual representation of the distribution of data and helps in identifying outliers in the data.In order to find the numbers that made up the box plot, you need to have the actual data set from which the box plot was created.

Once you have the data set, you can use it to calculate the minimum and maximum values, the median, the first quartile, and the third quartile.

These values can then be plotted on a box plot to create a visual representation of the data distribution. Alternatively, you can use a software or an online tool that can generate a box plot from a given data set.

The numbers that made up the box plot will vary depending on the data set. The box plot is a useful tool for visualizing data, but it is important to understand the context and characteristics of the data in order to interpret the plot accurately.

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The commutative property of addition says it doesn't in which order you add two numbers. In this case,

x + y = y + x

The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

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An association between the two variables can be implied if the relative frequencies vary across the columns.

In a two-way table, the relative frequencies represent the proportion of observations within each cell relative to the total number of observations in that column. If the relative frequencies differ significantly across the columns, it suggests that there is an association between the two variables being examined. This indicates that the distribution of one variable is not independent of the other variable, and there may be a relationship or dependence between them. It is important to analyze the patterns in the data, perform additional statistical tests, and consider other factors to confirm the presence and strength of the association.

An association between the two variables can be implied if the relative frequencies vary across the columns.

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Step-by-step explanation:

Circumference =

\(\pi r{}^{2} \)

So, we can take the value of as 22/7

\(\pi\)

"r" stands for radius. Radius is half the diameter.

So Radius =120/2=60

Now,

22/7*60*60=11314. 28cm2

PLEASE APPRECIATE THE EFFORT AND MARK AS BRAINILIEST.

Answer:

yes, the answer is A

Step-by-step explanation:

choose A and move on.

Answer:

A

Step-by-step explanation:

Hope this helps

the simplified expression is -40p²q⁹r⁸, which is the law of exponent for this expression.

A mathematical symbol known as an exponent shows how many times a quantity has been multiplied by itself. It is usually denoted by a superscript to the right of a number or a variable, and represents the power to which that number or variable is raised.

To simplify this expression using the laws of exponents, we can use the following rules:

Product rule: a to the power m × aⁿ = a to the power (m+ n)

Quotient rule: a to the power m ÷ aⁿ= a to the power (m-n)

Power rule: (a to the power m)ⁿ= a to the power (mⁿ)

Given expression

-10p²q⁸r⁵·4qp⁰r³

First, let's simplify the first term using the product rule:

-10p²q⁸r⁵= -1 ×2× 5× p²× q⁸× r⁵

Next, let's simplify the second term using the product and quotient rules:

4qp⁰r³=   2 × 2 × q × p⁰× r³

Using the product rule, we can simplify the expression further:

-1 ×2× 5× p²× q⁸× r⁵× 2 × 2 × q × p⁰× r³=-40p²q⁹r⁸

Therefore, the simplified expression is -40p²q⁹r⁸, which is the law of exponent for this expression.

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Answer:

not 100% sure but i think is 39

Step-by-step explanation:

The new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.

(a) The values of E(θ^1) and E(θ^2) are unknown without further information. Being unbiased estimators means that, on average, they provide estimates that are equal to the true population parameter θ. Therefore, we have:

E(θ^1) = θ

E(θ^2) = θ

(b) To find the expectation E(θ^3), we can use the linearity property of expectations:

E(θ^3) = E(aθ^1 + (1 - a)θ^2)

Since θ^1 and θ^2 are unbiased estimators, their expectations are equal to θ:

E(θ^3) = E(aθ^1 + (1 - a)θ^2) = aE(θ^1) + (1 - a)E(θ^2)

Using the values from part (a), we have:

E(θ^3) = aθ + (1 - a)θ = θ(a + 1 - a) = θ

Therefore, the new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.

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Answer:

What is your fav artist music wise

Step-by-step explanation:

Answer:

53, 63

Step-by-step explanation:

added in the picture

The scatter plot of the data is illustrated below and when x is 15, the predicted value of y is approximately 8.68.

To find the equation of the trend line, we need to determine the slope and y-intercept. The slope (m) represents the rate at which the dependent variable changes with respect to the independent variable, while the y-intercept (b) indicates the starting point of the line.

Using the formula for calculating the slope (m) of a line, which is given by:

m = (change in y) / (change in x),

we can compute the slope using two points on the trend line: (6,15.5) and (12,10.0). Substituting the values into the formula, we have:

m = (10.0 - 15.5) / (12 - 6) = -5.5 / 6 ≈ -0.92.

Next, we can find the y-intercept (b) by using the equation of a straight line:

y = mx + b,

and substituting one of the points (6,15.5) into the equation. Solving for b, we get:

15.5 = -0.92 * 6 + b,

15.5 = -5.52 + b,

b ≈ 21.02.

Therefore, the equation of the trend line is:

y = -0.92x + 21.02.

To predict the value of y when x is 15, we can substitute x = 15 into the equation:

y = -0.92 * 15 + 21.02,

y ≈ 8.68.

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To apply the Mean Value Theorem to the function f(x) = 23 - 3x + 2 on the interval (-2, 2), we need to check if the function satisfies the conditions of being continuous on [-2, 2] and differentiable on (-2, 2).

The given function f(x) = 23 - 3x + 2 is a linear function, and linear functions are continuous and differentiable everywhere. Therefore, f(x) is continuous on [-2, 2] and differentiable on (-2, 2). According to the Mean Value Theorem, there exists at least one number c in the interval (-2, 2) such that:

\(f'(c) = (f(2) - f(-2)) / (2 - (-2))\)

To find the possible value(s) of c, we need to find the derivative of f(x): f'(x) = -3 Since the derivative is a constant (-3) and does not depend on x, it is the same for all values in the interval (-2, 2). Therefore, the possible value(s) for c is any number in the interval (-2, 2). In other words, c can be any real number between -2 and 2.

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Answer:

water

Step-by-step explanation:

i can only think about that

Answer:

\(2\frac{1}{6}\)

Step-by-step explanation:

let x=2.16666...

10 x=21.666...(1)

100 x=216.666...(2)

(2)-(1) gives

90x=195

6x=13

x=13/6

x=2 1/6

(1) One of the six countries sent 41 representatives to the congress --> obviously x6=41x6=41 --> x1+x2+x3+x4+A=34x1+x2+x3+x4+A=34.

Given: x1<x2<x3<x4<A<x6x1<x2<x3<x4<A<x6 and x1+x2+x3+x4+A+x6=75x1+x2+x3+x4+A+x6=75. Q: is A≥10A≥10

Can A≥10A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11 --> sum=34sum=34 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9 --> sum=34sum=34 (answer to the question NO).

(2) Country A sent fewer than 12 representatives to the congress --> A<12A<12.

The same breakdown works here as well:

Can 12>A≥1012>A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11, x6=41x6=41 --> sum=75sum=75 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9, x6=41x6=41 --> sum=75sum=75 (answer to the question NO).

(1)+(2) The given examples fit in both statements and A in one is more than 10 and in another less than 10. Not sufficient.