What is the area of this figure?
8 yd
9 yd
11 yd
9 yd
7 yd
17 yd
6 yd
11 yd

To estimate the unknown parameter λ using maximum likelihood, given X₁ = 3, X₂ = 4, X₃ = 5, we need to find the value of λ that maximizes the likelihood function based on the observed data. The likelihood function represents the probability of observing the given data for different values of λ.

The likelihood function L(λ) is defined as the product of the probability density function evaluated at each observed data point. In this case, we have L(λ) = f(3) * f(4) * f(5), where f(x) is the given probability density function.
Substituting the values into the likelihood function, we have L(λ) = ((λ - 1)/3^λ) * ((λ - 1)/4^λ) * ((λ - 1)/5^λ).
To find the maximum likelihood estimate of λ, we need to maximize the likelihood function. Taking the natural logarithm of the likelihood function (ln L(λ)), we can simplify the problem to finding the value of λ that maximizes ln L(λ).
Taking the derivative of ln L(λ) with respect to λ and setting it to zero, we can solve for the maximum likelihood estimate of λ.
By solving the equation, we can obtain the estimate for λ based on the observed data X₁ = 3, X₂ = 4, X₃ = 5.

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a) The relation is reflexive, symmetric, and transitive.

b) The relation is not reflexive, symmetric, or transitive.

a) For each watermelon x, x is related to x because the measured weight of x is at least the measured weight of x. Therefore, the relation is reflexive.

For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is also related to x (meaning the measured weight of y is at least the measured weight of x). Therefore, the relation is symmetric.

For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is related to z (meaning the measured weight of x is at least the measured weight of z). Therefore, the relation is transitive.

b) For each watermelon x, x is not related to x because no two watermelons have the same measured weight. Therefore, the relation is not reflexive.

For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is not related to x (meaning the measured weight of y is not at least the measured weight of x).

Therefore, the relation is not symmetric. For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is not related to z (meaning the measured weight of x is not at least the measured weight of z).

Therefore, the relation is not transitive.

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Answer:

30 degrees

all triangles equal 180 degrees

90+60=150

180-150=30

Step-by-step explanation:

To evaluate the triple integral ∫∫∫ xyzdv using cylindrical coordinates, we need to express the integral in terms of the cylindrical coordinates (ρ, φ, z).

The given solid E lies under the paraboloid z = 4 - z² - y². In cylindrical coordinates, this paraboloid equation becomes z = 4 - ρ² - y².

To set up the triple integral, we need to determine the limits of integration for each variable.

Since the solid lies in the first octant, the limits of integration are as follows:

ρ: from 0 to some value ρ₁

φ: from 0 to π/2

z: from 0 to the upper limit of the paraboloid, which is given by the equation z = 4 - ρ² - y².

Now we can set up the triple integral:

∫∫∫ xyzdv = ∫₀^(π/2) ∫₀^ρ₁ ∫₀^(4-ρ²-y²) (ρcosφ)(ρsinφ)z dz dρ dφ

Simplifying the integrand and integrating, we can evaluate the triple integral to obtain the final result.

Note: The specific value of ρ₁ and the complexity of the integration depend on the precise shape of the solid E, which is not provided in the given information. Therefore, the final evaluation of the integral requires additional information about the solid E.

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Answer:

Answer:

68%

Step-by-step explanation:

The percentage of males in the town who have systolic blood pressure between 98 and 112 is 68%.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 7.

68 percent of the data is within one standard deviation of the mean, i.e. between μ - σ and μ + σ.

μ - σ = 105 - 7 = 98

μ + σ = 105 + 7 = 112

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The value of the chi-square statistic for this independence test is approximately 82.23.

To calculate the expected values for the independence test, we need to determine the expected number of individuals in each category if age and voting behavior were independent. We can calculate the expected values using the formula:

Expected value = (Row total * Column total) / Total number of observations

Let's calculate the expected values for each category:

Age Voted?         Under 30    30 - 50    Over 50    Total

Yes                       35                  64               25               124

No                        56                  19                 1                 76

Total                     91                  83               26               200

Expected value for "Yes" under "Under 30" category:

Expected value = (91 * 124) / 200 = 56.57 (approximately 57)

Expected value for "No" under "Under 30" category:

Expected value = (91 * 76) / 200 = 34.82 (approximately 35)

Similarly, calculate the expected values for the other categories:

Expected values for "Yes" in the "30 - 50" and "Over 50" categories:

30 - 50: 83 * 124 / 200 ≈ 51.77 (approximately 52)

Over 50: 26 * 124 / 200 ≈ 16.12 (approximately 16)

Expected values for "No" in the "30 - 50" and "Over 50" categories:

30 - 50: 83 * 76 / 200 ≈ 31.63 (approximately 32)

Over 50: 26 * 76 / 200 ≈ 9.88 (approximately 10)

The expected table for the independence test is as follows:

Age Voted?         Under 30    30 - 50    Over 50      Total

Yes                       57                  52               16               124

No                        35                  32               10                76

Total                     91                  83               26               200

To find the chi-square statistic for this independence test, we use the formula:

χ² = Σ [(Observed value - Expected value)² / Expected value]

Now, let's calculate the chi-square statistic by summing the values for each category:

χ² = [(35 - 57)² / 57] + [(64 - 52)² / 52] + [(25 - 16)² / 16] + [(56 - 35)² / 35] + [(19 - 32)² / 32] + [(1 - 10)² / 10]

χ² = 23.09 + 2.46 + 5.06 + 40.69 + 4.53 + 6.4

χ² ≈ 82.23

Therefore, the value of the chi-square statistic for this independence test is approximately 82.23.

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Answer:

158

Step-by-step explanation:

All i know is that these answer choices cannot be found in the calculator

Answer:

158.....

PEMDAS

you multiply first 6+160-8

then you add or subtract

158

Answer:

16. Right isosceles

17. D

Step-by-step explanation:

The triangle has a right angle this makes it a right trangle. Also all parallelograms are not squares, all rectangles aren't squares and all parallelograms aren't rhombuses.

16. right isosceles

17. C: all rectangles are squares

Answer:30.7 mybe i am not 100%

Step-by-step explanation:first you would devide 40 by 4 and then you would round

Answer:

The answer is B.

Step-by-step explanation:

Answer:

B.

1.09x + 1.59y + 1.59z

I hope this helps

Answer:

200

Step-by-step explanation:

0.2 * x = 40

40 / 0.2 = 200

Answer:

The other base measure 18.76 yd.

Step-by-step explanation:

A = h ((a+b) / 2)

213.86 = 18 ((5 + b) /2)

(5 + b) /2 = 11.88

5 + b = 23.76

b = 18.76 yd

Answer:

68

Step-by-step explanation:

Answer: 5^2 + 4^3 - 21= 68

Answer:

[tex] \: x = 10[/tex]

Step-by-step explanation:

prefer the attachment

according to the question

[tex] \displaystyle \: \frac{6}{17.5-x} = \frac{8 + 6}{17.5} [/tex]

simplify addition:

[tex] \displaystyle \: \frac{6}{17.5-x} = \frac{14}{17.5 } [/tex]

simplify fraction;

[tex] \displaystyle \: \frac{6}{17.5 - x} = 0.8[/tex]

cross multiplication:

[tex]\displaystyle 6 = 14 - 0.8x[/tex]

cancel 14 from both sides:

[tex] \displaystyle - 8= - 0.8x[/tex]

divide both sides by -0.8:

[tex] \therefore \: x = 10[/tex]

Answer:A

Step-by-step explanation:

the y-intercept is when x-axis is 0 and that means that hours of jogging is 0 and the y-axis is 1 minunte

Answer:

The first option.

Step-by-step explanation:

The y-intercept is where the line crosses through the y-axis, which, in this case, would be at point (0, 1). The labeling on the left side shows what each number on the y-axis represents, and it would be minutes stretching when not jogging.

hope this helped! :)

Answer:

If you begin with the graph for f(x) and then substituted x+3 for x, the effect on the graph will be to move the whole graph 3 units to the left.  

Given that (-9,-1) is on the graph of f(x), and that we are to move the entire graph 3 units to the left, then the coordinate -9 becomes -9-3, or -12:  (-12,-1).

Step-by-step explanation:

Answer:

im guessing 32.5$ but i honestly dont know lol

Step-by-step explanation:

A = $5,800.00

I = A - P = $1,800.00

hey!

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year.

Solving our equation:

A = 4000(1 + (0.15 × 3)) = 5800

A = $5,800.00

The total amount accrued, principal plus interest, from simple interest on a principal of $4,000.00 at a rate of 15% per year for 3 years is $5,800.00.

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hope i helped in some way..have great day!

Answer:

5/6?

Step-by-step explanation:

The relationship between the variables x and y, based on the given data points, can be represented by the equation y = -3.30x + 9.77.

This linear equation captures the trend observed in the data, providing a mathematical expression to estimate the value of y corresponding to a given x. By performing linear regression on the provided data points, the equation y = -3.30x + 9.77 is derived. This equation represents a linear relationship between x and y, where the coefficient of x is -3.30, indicating that as x increases, y decreases at a rate of 3.30 units.

The constant term 9.77 represents the y-intercept, which is the value of y when x is 0. This equation serves as a model to estimate the value of y for any given x within the observed range. It provides a straightforward and concise representation of the relationship between the variables based on the given data.

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There is a 99.73% chance that two people selected at random will not share the same birthday out of 365.

The probability of two people not sharing the same birthday out of 365 can be calculated using the formula:P(A) = n(A)/n(S)where n(A) is the number of favorable outcomes and n(S) is the total number of possible outcomes.

In this case, the favorable outcome is that two people do not share the same birthday, and the total number of possible outcomes is 365 × 365 since each person can have a birthday on any of the 365 days.

To find the number of favorable outcomes, we need to subtract the number of ways two people can have the same birthday from the total number of possible outcomes.

The number of ways two people can have the same birthday is simply 365 since there are 365 possible birthdays.

Therefore, the number of favorable outcomes is:365 × 364

The total number of possible outcomes is:

365 × 365

Thus,the probability of two people not sharing the same birthday out of 365 is:P(A) = (365 × 364)/(365 × 365)P(A) ≈ 0.9973

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Answer:

See, this is what i do not get. equations like this. People now in days would just by faster internet speed. Why would we need to know this if  we will never ever get to use this in our life. Also you could just call the internet cable person. This makes absolutely no since at all. Also who even uses Netflix anymore?

Step-by-step explanation

Brand X needs to use 8.4 oz. of Brand A mixed nuts and 12.6 oz. of Brand B mixed nuts to achieve a 29% peanut content in their 21 oz. bags of mixed nuts.

To determine how much of Brand A and Brand B mixed nuts Brand X needs to use to achieve a 29% peanut content in their 21 oz. bags of mixed nuts, we can set up an equation based on the principle of weighted averages.

Let's assume x represents the amount of Brand A mixed nuts (35% peanuts) that Brand X needs to use, and y represents the amount of Brand B mixed nuts (25% peanuts) that Brand X needs to use.

The total weight of the mixed nuts is given as 21 oz., so we can set up the following equation:

x + y = 21 (Equation 1)

To achieve a 29% peanut content in the final product, we can set up another equation based on the peanut content:

(35% of x) + (25% of y) = 29% of 21 oz.

0.35x + 0.25y = 0.29 * 21 (Equation 2)

Now we have a system of two equations (Equation 1 and Equation 2). We can solve this system of equations to find the values of x and y.

Let's solve the system using the substitution method:

From Equation 1, we have: x = 21 - y

Substituting this into Equation 2, we get:

0.35(21 - y) + 0.25y = 0.29 × 21

7.35 - 0.35y + 0.25y = 6.09

0.1y = 6.09 - 7.35

0.1y = -1.26

y = -1.26 / 0.1

y = 12.6

Substituting this value back into Equation 1, we can find x:

x + 12.6 = 21

x = 21 - 12.6

x = 8.4

Therefore, Brand X needs to use 8.4 oz. of Brand A mixed nuts and 12.6 oz. of Brand B mixed nuts to achieve a 29% peanut content in their 21 oz. bags of mixed nuts.

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Answer:

The third one down

Step-by-step explanation:

Answer:

The exterior angle is 35° + 62° = 97°

And 97° > 35°

And 97° > 62°

Step-by-step explanation:

Answer:

pppop-

That’s what u get

Step-by-step explanation:

31 additional days, getting behind by 31 seconds; this, added to the original 4 sec behind, gives you a total 35 seconds behind.

Now, that really isn't complicated, right?

Answer:

0.004 km; 400 cm; 4000 mm

Step-by-step explanation:

1 km = 1000 m

1 = (1 km)/(1000 m)

4 m * (1 km)/(1000 m) = 4/1000 km = 0.004 km

1 m = 100 cm

1 = (100 cm)/(1 m)

4 m * (100 cm)/(1 m) = 400 cm

1 m = 1000 mm

1 = (1000 mm)/(1 m)

4 m * (1000 mm)/(1 m) = 4000 mm

Answer: 0.004 km; 400 cm; 4000 mm