Find the minimum and maximum values of the function f(x, y) = x^2 +2y^2 to the constraint 12-216y = 15648 (Use symbolic notation and fractions where needed. Enter NULL if there is no maximum or minimum.) Maximum = ____ Minimum = ____

The maximum likelihood estimator (MLE) for the given pdf is "None of the above."

The MLE cannot be determined based on the information provided.

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It is unlikely for your height to be 70 inches exact because there are infinite number of possible ways.

Height is considered a continuous variable because it can take on any value within a certain range, including fractional values. Continuous variables are not limited to specific set of values, but can take on any value within a specified range. This is in contrast to discrete variables, which can only take on a specific, limited set of values. The continuous nature of height allows for precise measurement and calculation, as opposed to rounding to the nearest whole number.

When we talk about height, height is measure and hence it is a continuous variable. This means that it is possible for a person's height to be exactly 70 inches, but it is unlikely due to the vast number of possible values.

Hence, it is very unlikely for height to be specific.

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Answer:

9/5

Step-by-step explanation:

because I know I pass the test

The probability that an individual's IQ score is between 91 and 121 is 0.9165 - 0.2763 = 0.6402.

To calculate the probabilities, we can use the standard normal distribution and convert the given IQ scores to z-scores using the formula:

z = (x - μ) / σ

where x is the IQ score, μ is the mean, and σ is the standard deviation.

a) Probability that an individual's IQ score is more than 125:

We need to find P(X > 125), where X follows a normal distribution with mean μ = 100 and standard deviation σ = √152.

First, we calculate the z-score for 125:

z = (125 - 100) / √152 = 1.6447 (rounded to 4 decimal places)

Using the z-table, we find the corresponding probability as:

P(X > 125) = 1 - P(Z ≤ 1.6447)

Looking up the z-value 1.6447 in the z-table, we find the corresponding probability to be 0.0495.

Therefore, the probability that an individual's IQ score is more than 125 is 0.0495.

b) Probability that an individual's IQ score is between 91 and 121:

We need to find P(91 ≤ X ≤ 121), where X follows a normal distribution with mean μ = 100 and standard deviation σ = √152.

First, we calculate the z-scores for 91 and 121:

z1 = (91 - 100) / √152 = -0.5922 (rounded to 4 decimal places)

z2 = (121 - 100) / √152 = 1.3814 (rounded to 4 decimal places)

Using the z-table, we find the corresponding probabilities as:

P(91 ≤ X ≤ 121) = P(Z ≤ 1.3814) - P(Z ≤ -0.5922)

Looking up the z-values 1.3814 and -0.5922 in the z-table, we find the corresponding probabilities to be 0.9165 and 0.2763, respectively.

Therefore, the probability that an individual's IQ score is between 91 and 121 is 0.9165 - 0.2763 = 0.6402.

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Answer:

algebra

algebra

algebra

Answer:

man women man women man women man women man

Step-by-step explanation:

hope it helps

Answer:

As there are 5 men and 4 women and they have to arrange a line, they should be positiones like this to be alternated:

MAN - WOMAN- MAN - WOMAN - MAN - WOMAN - MAN - WOMAN - MAN

In the first position they can be put 5 mans, but in the third, 4, as one has been put before, and in the fifth 3, and in the seventh 2 and in the ninth one.

In the second position they can be put 4 women, then 3, then 2 and then one.

We can multiply this:

5 * 4 * 4 * 3 * 3 * 2 * 2 * 1 * 1 = 2880

There are 2880 possibilities to form a line alternating them..

Answer:

Yes, 10 millimeters is the same as 1 centimeter.

Step-by-step explanation:

Kathy can compare the two measurement because 10 millimeters equals 1 centimeter

This means

10 millimeters of her finger = 1 centimeter of the same finger

100 millimeters of her finger = 10 centimeters of her finger

1000 millimeters of her finger = 100 centimeters of her finger

Therefore, Kathy can compare both measurement ( millimeters and centimeters).

Answer:

Yes, 10 millimeters is the same as 1 centimeter.

Step-by-step explanation:

Answer:

$33.84

Step-by-step explanation:

Sale price = price - 10% = 90%

90% = 0.9

37.6(0.9) = $33.84

The total number of possible outcomes containing exactly 3 heads when a coin is flipped eight times where each flip comes up either heads or tails are 56.

There are two possible outcomes i.e. heads and tails when a coin is flipped. If the coin is flipped 8 times, the total number of outcomes will be:-

\(2^8=256\)

We need exactly 3 heads , and hence exactly 5 tails, like

H H H T T T T T

Here H represents heads and T represents tails.

But H and T can come in any combination, for example:-

H T H H T T T T

Hence, total possible outcomes containing exactly 3 heads and 5 tails will be determined using the combinations formula :-

\(^{8}C_{3}=\frac{8!}{3!5!}=\frac{8*7*6*5!}{3*2*5!}=8*7=56\)

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(a) To sketch a graph of the speed over a 3-second time span, we need to know the equation that describes the relationship between speed and time. Without this information, we cannot create an accurate graph.

(b) To find the volume of blood that passes along the artery in one second, we need to use the formula Q = A * v, where Q is the flow rate, A is the cross-sectional area of the artery, and v is the speed of blood flow. The cross-sectional area of the artery is given by A = pi * r^2, where r is the radius of the artery.

Thus, substituting the given values, we get:

A = pi * (5mm)^2 = 78.54 mm^2

v = 0.2 + 0.1 sin(2pit/0.8) (using the given information)

Q = A * v = 78.54 * (0.2 + 0.1 sin(2pit/0.8))

To find the volume of blood that passes along the artery in one second, we need to evaluate Q at t = 1 second, so we get:

Q = 78.54 * (0.2 + 0.1 sin(2pi1/0.8)) = 31.39 mm^3/s

Therefore, the volume of blood that passes along the artery in one second is approximately 31.39 cubic millimeters.

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The answer to the questions on instrument are:

True

True

True

True

False

True

True: A survey timeline typically includes various dates related to the survey administration, such as the start and end dates for participant recruitment, the date for activation of the measurement instrument, and the deadline for completing the survey. The date for activation of the measurement instrument refers to the date on which the survey respondents can begin answering the questions.

True: Instrument disposition refers to the process of distributing and collecting the measurement instruments. This can involve various methods, such as mailing the instruments to the participants or delivering them to a dropbox for paper-and-pencil instruments.

True: Participant data entry can increase the accuracy of a data record because it eliminates the need for manual data entry, which can introduce errors. With participant data entry, the participants themselves enter their responses directly into a computer or mobile device, ensuring that the data is accurate and complete.

True: A significant number of "Don’t Know" responses to a closed measurement question may indicate that the measurement instrument failed to provide appropriate response categories. If the survey respondents are unsure about how to answer a question and there is no appropriate response option available, they may select "Don’t Know" instead.

False: Cross-tabulation in CFA (Confirmatory Factor Analysis) is typically used to examine the relationship between two or more variables, and it is not called a contingency table. A contingency table is a table used to display the frequencies and/or percentages of two or more categorical variables.

True: Percentages are a way of expressing data in relation to a base of 100, making it easier to compare variables. For example, if 80 out of 100 respondents answered "Yes" to a question, we can say that the percentage of respondents who answered "Yes" is 80%. This allows us to compare the percentage of "Yes" responses to other questions or variables in the survey.

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Answer:Given that y represents the cost, and x represents the number of classes, to complete the statements, the table is given for Gymnastics while the equation, y = 18x + 20 is given for Ice-skating program.

Since the table already shows the cost for each specific number of classes for Gymnastics, find that of Ice-skating program for 1, 2, 3, and 4 classes.

For 1 class, substitute x = 1 into y = 18x + 20:

y = 18(1) + 20

y = $38

For 2 class, substitute x = 2 into y = 18x + 20:

y = 18(2) + 20

y = $56

For 3 class, substitute x = 3 into y = 18x + 20:

y = 18(3) + 20

y = $74

For 4 class, substitute x = 4 into the equation y = 18x + 20:

y = 18(4) + 20

y = $92

From the above, we can conclude that, Gymnastics is less expensive when the classes is 1.

Ice-skating is less expensive  when the classes is 3 or 4.

Step-by-step explanation:

From the given function, When the number of classes is 1 the football is less expensive.

When the number of classes is 1, the basketball is less expensive.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Four main categories can be used to classify different sorts of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

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Answer:

-12

Explanation:

Let's call the unknown number x.

Then, six subtracted from one times a number is -18 can be written as

1x - 6 = -18

So, we can solve for x, adding 6 to both sides

x - 6 = -18

x - 6 + 6 = -18 + 6

x = -12

Therefore, the number is -12

The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.

However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.

For the percentage of newborn African lions weighing less than 3 pounds:

We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.

For the percentage of newborn African lions weighing more than 3.8 pounds:

Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.

Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

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Problem N 7

Part A

Find out the measure of angle QRS

we have that

m by form a linear pair

m given

mmm

Part B

Find out the measure of angle Q

we have that

145=y+4y -----> by exterior angle theorem

solve for y

145=5y

y=29

Find out the measure of angle Q

mtherefore

Answer:

-3/2

Step-by-step explanation:

With perpendicular lines, the slope switches to its reciprocal and and positive/negative sign switches, i.e, the 2/3 will switch to 3/2 and since the original is positive, the new slope will be negative

Answer:

Slope is -3/2

Step-by-step explanation:

The slope of line that is perpendicular to the line should have a slope that is a negative reciprocal of this slope and multiplying both slopes give us -1

=> The slope of this line is 2/3

=> The slope of line perpendicular to it would be -3/2

Multiplying the two slopes:

=> (2/3)*(-3/2)

=> -1

Since the algae grow exponentially with doubling time of 4 days, then the population will be quadruple in size in 8 days and will be triple in size in  6.34 days.

The easiest way is to consider the situation as a geometric sequence. If the population doubles its size in 4 days, then it will be quadruple in:

2 x 4 days = 8 days.

In general, we can use the growth formula:

P(t) = Po . 2^(t/Td)

Where:

P(t) = population at time t

Po = initial population

Td = doubling time

Parameters given:

Td = 4 days

P(t) = 3Po

Plug those parameters into the formula:

3 Po = Po . 2^(t/4)

3 = 2^(t/4)

log 3 = (t/4) log 2

t = 4 . log 3 / log 2 = 6.34 days.

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Answer:

\(\large{\boxed{\sf Chord = 8cm }}\)

Step-by-step explanation:

First see figure in attachment . As we know that ,Perpendicular from centre of the circle bisects the chord . Hence here ,

\(\sf\qquad\longrightarrow AB = 2AC = 2x \)

Now in ∆OAC , by Pythagoras Theorem , we have ;

\(\sf\qquad\longrightarrow (5cm)^2= x^2+(3cm)^2\\ \)

\(\sf\qquad\longrightarrow 25cm^2=x^2+9cm^2\\\)

\(\sf\qquad\longrightarrow x^2=25cm^2-9cm^2\\\)

\(\sf\qquad\longrightarrow x^2=16cm^2\\ \)

\(\sf\qquad\longrightarrow \pink{ x = 4cm } \)

Therefore , the length of chord will be ,

\(\sf\qquad\longrightarrow AB = 2x \\ \)

\(\sf\qquad\longrightarrow AB = 2(4cm)\\\)

\(\sf\qquad\longrightarrow \pink{ AB = 8cm } \)

Hence the length of chord is 8cm .

The true statement is that: the slope of line A is steeper than the slope of line B

The slope of a linear equation is the average rate of change of the linear equation.

The slope is calculated using:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

On line A, we have the following coordinate points

(-3,0) and (0,4)

So, the slope is:

\(m_A = \frac{4 -0}{0 +3}\)

\(m_A = \frac{4}{3} \)

On line B, we have the following coordinate points

(0,-4) and (2,0)

So, the slope is:

\(m_A = \frac{0 +4}{2 -0}\)

\(m_B = 2 \)

By comparison:

2 is greater than 4/3

Hence, line B has a steeper slope

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Answer: Line B has a stepper slope

Step-by-step explanation:

hope this helps and can you please mark me as brainliest.

Answer:

zero

Step-by-step explanation:

Answer:

A. Zero

the slope is zero

Answer:

the domingo of a grapa consiste of all the input vales show on the x-axis the rango is the set of posible output vales which are show on the y-axis

Answer:

-1 and 6

Step-by-step explanation:

We can use trial and improvement for this

Pairs of numbers that have a sum of 5:

2, 3 = 6

1, 4 = 4

0, 5 = 0

-1, 6 = -6

-2, 7 = -14

-3, 8 = -24

-4, 9 = -36

-5, 10 = -50

-1 and 6 have a sum of 5 and a product of -6

Answer:

A. 4(x + 8) = 56

Step-by-step explanation:

the correct equation would be 4(x + 8) = 56

because we need to find the number of hours on Saturday, since there Sheldon gets paid $4 per hour, we must subtract the amount Sheldon made on Sunday by the total he made and then divide that by 4 to get the number of hours on Saturday

$4 = number of dollars per hour

$56 = total on Saturday and Sunday

8 hours = Number of hours babysat on Sunday

x = hours spent on Saturday

4(x + 8) = 56

Step 1: Simplify both sides of the equation.

4(x + 8) = 56

(4)(x) + (4)(8) = 56(Distribute)

4x + 32 = 56

Step 2: Subtract 32 from both sides.

4x + 32 − 32 = 56 − 32

4x = 24

Step 3: Divide both sides by 4.

4x/4 = 24/4

x = 6

To check if this is correct, we add the amount Sheldon earned on Saturday to the amount he earned on Sunday, which is

6(4) + 8(4) = 56

24 + 32 = 56

56 = 56

or you could substitute the answer in the problem

4(6 + 8) = 56

Distribute

24 + 32 = 56

Simplify

56 = 56

Answer:

C. 7.50 hrs

Step-by-step explanation:

Since it takes 90 mins to clean 11 windows, the rate that it takes the washer per window is \(\frac{90}{11}\) minutes. At this rate, if he were to clean 55 windows it would take him \(\frac{90}{11}(55) = 450\) minutes. This translates into 7.50 hrs.

Answer:

y = x + 9 ==> x + (-y) = -9

y = -6x - 5 ==> 6x + y = -5

y = 2/3x + 1​ ==> 2x/3 + (-y) = -1

Step-by-step explanation:

y = x + 9  ==> isolate the constant 9

**Don't subtract x on both sides as x has to be positive**

y - 9 = x ==> keep x positive by subtracting 9 on both sides

-9 = x - y  ==> subtract y on both sides to isolate the constant

x + (-y) = -9  ==> make the equation in the form of ax + by = c

y = -6x - 5  ==> isolate the constant -5

y + 6x = -5  ==> isolate -5 by adding 6x on both sides, making x positive

6x + y = -5  ==> make the equation in the form of ax + by = c

y = 2x/3 + 1​  ==> isolate the constant 9

**Don't subtract 2x/3 on both sides as x has to be positive**

y - 1 = 2x/3 ==> keep x positive by subtracting 1 on both sides

-1 = 2x/3 - y  ==> subtract y on both sides to isolate the constant

2x/3 + (-y) = -1  ==> make the equation in the form of ax + by = c

Answer: 7.5

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

In the confidence interval, the population parameter is unknown and the interval is a random variable.

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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