A function is given by z = f(x, y) = y + y sin(2x). Suppose V52 + 2t, y = te sin(s), Use Chain Rule to find the partial derivative when s = 7, t = 0. Round your answer to two decimal places. X = дz д = = 2 Your Answer:

answer:

53

explanation

Updated Probabilities are: P(L1/W) = 0.341 & P(L1/w) = 0.949

Let W be the event that the robot's camera observes a window

It is given that the Probability of observing a window there is no window at its location is given 0.2

P(W/ L1) = 0.2 ( L1 which does not have a window)

Also, probability of observing a window is 0.9

P(W/ L2) = 0.9 ( L2 has window)

Now we have to find updated probabilities for the robot being in L1 i.e:- P(L1/W) & P(L1/w)

w means the camera does not observe a window.

By Bayes Rule,

P(L1/W) = P(L1)P(W/L1)/P(L1)P(W/L1)+P(L2)P(W/L2)

            = (0.7x 0.2)/ (0.7x0.2) + (0.3x0.9)

            = (0.14)/ 0.14+0.27

            ≈0.341 (rounded to 3. decimal places)

Thus  the probability of being in L1 if the camera observes a window is nearly 0.341.

P(L1/w) = P(L1)P(w/L1)/P(L1)P(w/L1)+P(L2)P(w/L2)

As P(W/L1) = 0.2;

P(w/L1) = 1 - P(w/L1) = 1-0.2 = 0.8

Also P(W/L2) = 0.1;

P(w/L2) = 1 - P(w/L2) = 1-0.9 = 0.1

P(L1/w) = (0.7 X 0.8)/ (0.7X0.8) + (0.3X0.1)

           =(0.56)/ (0.56+0.03) = (0.56/ 0.59)

           ≈ 0.949 (rounded to 3 decimal places).

Thus the probability of being in L1 if observe not the window is nearly 0.949.

Updated Probabilities are: P(L1/W) = 0.341 & P(L1/w) = 0.949

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Answer:

In the pic

Step-by-step explanation:

The dots that I used are from counting squares on A

* m = slope

* it's doesn't matter how you label each dot, you will get the same answer in the end.

JUST MAKE SURE THAT YOU DON'T MIX UP THE COORDINATES !!!

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below

Answer:

\({ \tt{y = \frac{1}{2} x + 6}} \\ \)

- If two lines areperpendicular, their gradients have a relation below;

\({ \tt{m_{1} \times m _{2} = - 1 }} \\ \)

- Therefore, gradient for points (b, 1) and (-3, 2);

\({ \tt{ \frac{1}{2} \times m _{2} = - 1}} \\ \\ { \tt{m = - 2}}\)

- Therefore:

\({ \tt{ - 2 = \frac{2 - 1}{ - 3 - b} }} \\ \\ { \tt{ - 2( - 3 - b) = 1}} \\ \\ { \tt{6 + 2b = 1}} \\ { \tt{2b = - 5}} \\ { \tt{b = - \frac{5}{2} }}\)

Answer: x=0.15

Step-by-step explanation:

5x+0.25=7x-0.05

5x+0.25-0.25=7x-0.05-0.25

5x=7x-0.3

5x-7x=7x-0.3-7x

-2x=-0.3

-2x/-2 = -0.3/-2

X=0.15

Hope this helps!

Answer:

You can multiply the 2nd equation by either -3 or -6

Step-by-step explanation:

If you are using elimination (imo substitution on this problem would be easier), then you need to eliminate one of the variables. If you are wanting to eliminate x first, then multiply by -3. If you want to eliminate y first, then multiply by -6.

Answer: 12x + 6y= 120  and  -24x -6y = -180

Step-by-step explanation:

12x + 6y = 120      

4x + y = 30              

To eliminate one of the variables the coefficients have to have the same values but different signs.One has to be positive and one has to be negative then you could add them up to get become zero. So in the two systems of equations you can multiply the down equation by -6 to eliminate the y variable but the top equation will have to be the same.

-6(4x + y)=30(-6)    

-24x -6y = -180  

You can now rewrite the equation as  

12x + 6y = 120

-24x -6y = -180     Now you can add the top and down equations to eliminate the y variable.

The area of the regular pentagon with base area as 84.3 ft is derived to be equal to 224.3 square feet.

We have that the base area of the regular pentagon is 84.3 ft and each side is a rectangle with 7 ft by 4 ft dimension, so we calculate for the area of the figure as follows:

Area of one rectangle side = 7 ft × 4 ft = 28 ft²

Area of the five rectangle side = 5 × 28 ft² = 140 ft²

Area of the regular pentagon = 140 ft² + 84.3 ft

Area of the regular pentagon = 224.3 ft²

Therefore, the area of the regular pentagon with base area as 84.3 ft is derived to be equal to 224.3 square feet.

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Answer:

    x = 54

Step-by-step explanation:

Let x be the "mystery number."

If we divide x by 6000 [(x/6000)] and then multiply by 41 [(x/6000)*41] and then add 0.31 [(x/6000)*41 + 0.31], the result is 0.679:

  (x/6000)*41 + 0.31 = 0.679

 ( 41x/6000) + 0.31 = 0.679

( 41x/6000) = 0.369

     x = (0.369*(6000))/41

    x = 54

Answer: 26.4 ft.

Step-by-step explanation: To find the numerical value of 8 meters in feet you need to use unit multipliers. In this case, you need to multiply 8 meters by 3.3 ft / 1 meter. This would cancel out the meters, making the unit feet. 8*3.3 = 26.4, so the answer is 26.4 ft.

Answer:

1/2 - 3/4x

Step-by-step explanation:

1. Convert the mixed number to an improper fraction

     2 1/4 = 9/4

2. Calculate the sum

      -1/8 + 9/4x + 5/8 -3x = 1/2 + 9/4x -3x

3. Calculate the difference

      -1/8 + 9/4x + 5/8 -3x = 1/2 - 3/4x

SOLUTION

    1/2 - 3/4x

Answer:

42y-48

Step-by-step explanation:

6 x 7

6 x 8

Answer:

{2, 6}

Step-by-step explanation:

Subset: A subset is a set of which all the element are contained or can be find in the universal set.

From the question above,

μ = {1,2,4,5,6}

* The first option {0,1,2} is wrong because  0 is not contained in the universal set.

* The second option {3,4} is wrong because, 3 is not contained in the universal set.

* The third option {5,6,7} is wrong because 7 is not contained in the universal set.

* The last option {2,6} is correct because all of the element of the set are contained in the universal set, and as such makes it a subset.

Hence the subset of {1,2,4,5,6} is {2, 6}

In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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To be in the top 10% of the scores on the test, a minimum score needs to be determined. Given that the scores are normally distributed with a mean of 110 and a standard deviation of 19, the specific minimum score can be calculated.

To find the minimum score needed to be in the top 10% of the scores on the test, we can use the properties of the normal distribution. Since the distribution is assumed to be normal, we know that the top 10% of scores will fall within the upper tail of the distribution.
To calculate the minimum score, we need to find the z-score corresponding to the 90th percentile (or the 10th percentile in the lower tail). Using a standard normal distribution table or a statistical calculator, we can find that the z-score for the 90th percentile is approximately 1.28.
Next, we can use the formula for transforming a z-score into a raw score in a normal distribution:
x = μ + (z * σ)
where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation.
Plugging in the values, we have:
x = 110 + (1.28 * 19)
Calculating this, we find that the minimum score needed to be in the top 10% of the scores on the test is approximately 134.12. Therefore, a score of 134 or higher would place an individual in the top 10% of test scores.

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Answer:

the chance of getting at least 1 head is 99.8%.

Step-by-step explanation:

Since the chance to head is a %.5 chance, then thats the variable. There is 9 of those , and then mulitply that then subtract from one.

Answer:

0

I hope its zero.........

Answer:

-1.5

Step-by-step explanation:

-12/6+2

-12/8

-1.5

A scatter plot is a data visualization technique in data analysis that uses a graph to show the relationship between two variables. It is used to display the relationship between two variables in a two-dimensional graph, with one variable on the x-axis and the other variable on the y-axis.

Scatter plots are used to explore the relationship between two variables, identify any patterns, and detect outliers. Scatter plots can also be used to compare the trends between groups of data, such as the relationship between different age groups and salary, or the relationship between different countries and GDP.

Scatter plots can provide insights into which variables are most important when predicting a response variable. Scatter plots are a powerful tool for understanding relationships between variables and can be used in a wide variety of data analysis tasks.

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Answer:

3.25

Step-by-step explanation:

total 18.25 - 2.00 tip = 16.25

16.25/5=3.25

Answer:

c)-4/3

Step-by-step explanation:

perpendicular slope is opposite and reciprocal

the green line has a slope of 3/4

so the slope of the red line is -4/3

(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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Answer:

it should be SSS but if not that then not congruent

Step-by-step explanation:

Answer:

you should get 30 as an answer

Step-by-step explanation:

9*5=45

3*5=15

45-15=30

Answer:

u < 11

Step-by-step explanation:

u + 7 < 18

u < 11

To solve the inequality:

u + 7 < 18

We need to isolate the variable u on one side of the inequality symbol.

Subtracting 7 from both sides, we get:

u < 18 - 7

Simplifying the right-hand side, we get:

u < 11

Therefore, the solution to the inequality is:

u < 11

In interval notation, the solution is:

(-∞, 11)

Answer:

Miguel has video games = 14

Beth has video games = 10

Step-by-step explanation:

Miguel has video games = m

Beth has video games = b

We make the equations:

m=b+4 (Miguel has  4 more video games than Beth)

m+b=24 (together they have a total of 24 video games)

So, the system of equations is:

\(m=b+4\\m+b=24\)

Now, solving these system of equations to find values of m and b

Let:

\(m=b+4--eq(1)\\m+b=24--eq(2)\)

Put value of m from equation 1 into equation 2

\(m+b=24\\b+4+b=24\\2b=24-4\\2b=20\\b=\frac{20}{2}\\b=10\)

We get value of b: b=10

Now, finding value of m by putting value of b in equation 1

\(m=b+4\\m=10+4\\m=14\)

So, We get value of m: m= 14

Therefore:

Miguel has video games = m = 14

Beth has video games = b = 10

Answer:

m+b=24

m=b+4

Step-by-step explanation:

on edg

Step-by-step explanation:

please mark me as brainlest

Answer:

45

Step-by-step explanation:

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

Hey there! I'm happy to help!

We see that the cupcakes are $2, but for every 8 you buy you get 1 free.

So, if we buy 8 cupcakes, we will be paying $16, but we will actually be receiving 9 donuts, so that means that for every $16 we pay, we get 9 donuts.

Let's see how many times $16 goes into $80.

80/16=5

So, this means that our $16 that gives us 9 donuts was done 5 times, which totals up to 80 dollars. Let's multiply our donuts now.

9*5=45

So, Fatimah will get 45 donuts during the promotion.

Have a wonderful day and keep on learning! :D

Answer:

Part A: y=2x-1

Part B: -1

The monthly deposit for the amount to compound monthly would be $1515.15.

What is compounding?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. It is considered to be the 8th wonder of  the world as it has great power in terms of money.

Main Body:

formula for compound interest monthly(C.I.)  =\(P(1+\frac{R}{12})^{12t} -P\)

Here R- 3.7% = 0.037   ,  T=22 years  , C.I. = 500000    P=?

Calculating ,

500000 = P(1+\(\frac{0.037}{12}^{12*22}\)) -P

500000 = P(1.25)

P= 400000 but it is for all time period.

so monthly deposit = P/12*22

                                = 400000/264

                                = 1515.15

Hence the answer is $1515.15.

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