It costs $24.99 for a pizza
pasta for 4 people. Drinks are an
Extra$2.99 each. How much would it cost
for 4 people to eat and drink?

Differentiate both sides of

\(y = \dfrac{x\sqrt{a^2-x^2}}2 + \dfrac{a^2}2\sin^{-1}\left(\dfrac xa\right)\)

with respect to y ; by the product rule,

\(1 = \dfrac12\sqrt{a^2-x^2}\dfrac{\mathrm dx}{\mathrm dy} + \dfrac x2 \dfrac{\mathrm d}{\mathrm dy}\left[\sqrt{a^2-x^2}\right] + \dfrac{a^2}2\dfrac{\mathrm d}{\mathrm dy}\left[\sin^{-1}\left(\dfrac xa\right)\right]\)

Use the chain rule for the remaining derivatives.

\(\dfrac{\mathrm d}{\mathrm dy}\left[\sqrt{a^2-x^2}\right] = \dfrac1{2\sqrt{a^2-x^2}}\dfrac{\mathrm d}{\mathrm dy}\left[a^2-x^2\right] \\\\ = \dfrac{-2x}{2\sqrt{a^2-x^2}}\dfrac{\mathrm dx}{\mathrm dy} \\\\ = -\dfrac x{\sqrt{a^2-x^2}} \dfrac{\mathrm dx}{\mathrm dy}\)

Recall that

\(\dfrac{\mathrm d}{\mathrm dx}\left[\sin^{-1}(x)\right] = \dfrac1{\sqrt{1-x^2}}\)

Then

\(\dfrac{\mathrm d}{\mathrm dy}\left[\sin^{-1}\left(\dfrac xa\right)\right] = \dfrac1{\sqrt{1-\left(\frac xa\right)^2}}\dfrac{\mathrm d}{\mathrm dy}\left[\dfrac xa\right] \\\\ = \dfrac1{a\sqrt{1-\left(\frac xa\right)^2}}\dfrac{\mathrm dx}{\mathrm dy} \\\\ = \dfrac1{\sqrt{a^2}\sqrt{1-\left(\frac xa\right)^2}}\dfrac{\mathrm dx}{\mathrm dy} \\\\ = \dfrac1{\sqrt{a^2-x^2}}\dfrac{\mathrm dx}{\mathrm dy}\)

Putting everything together, we have

\(1 = \dfrac{\sqrt{a^2-x^2}}2\dfrac{\mathrm dx}{\mathrm dy} - \dfrac{x^2}{2\sqrt{a^2-x^2}}\dfrac{\mathrm dx}{\mathrm dy} + \dfrac{a^2}{2\sqrt{a^2-x^2}}\dfrac{\mathrm dx}{\mathrm dy}\)

\(1 = \left(\dfrac{\sqrt{a^2-x^2}}2+\dfrac{a^2-x^2}{2\sqrt{a^2-x^2}}\right)\dfrac{\mathrm dx}{\mathrm dy}\)

\(1 = \dfrac1{2\sqrt{a^2-x^2}}\bigg((a^2-x^2) + (a^2-x^2)\bigg)\dfrac{\mathrm dx}{\mathrm dy}\)

\(1 = \dfrac{2a^2-2x^2}{2\sqrt{a^2-x^2}}\dfrac{\mathrm dx}{\mathrm dy}\)

\(1 = \sqrt{a^2-x^2}\dfrac{\mathrm dx}{\mathrm dy}\)

\(\boxed{\dfrac{\mathrm dx}{\mathrm dy} = \dfrac1{\sqrt{a^2-x^2}}}\)

1.800 is the z-score of a car that gets 29 miles per gallon.

Mean μ = 23.04 miles per gallon

a standard  deviation σ = 3.31 miles per gallon

the z-score of a car that gets 29 miles per gallon

\(Z = x -\)μ /σ

 Z =  \(\frac{29- 23.04}{3.31 }\)

  Z = 1.800

Standard deviation is a statistic that measures the dispersion of a data set relative to its mean and is calculated as the square root of the variance. The standard deviation is calculated as the square root of the variance by determining the deviation of each data point from the mean.

If the data points are farther from the mean, there is more variance within the data set; therefore, the wider the data is spread, the larger the standard deviation.

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Answer:

that was my question

Step-by-step explanation:

jzjzjjzjzjxjxjxjxk k

Answer:

12

Step-by-step explanation:

Hello. Y/x = a constant k because y and x are by definition always in the same ratio. (y varies directly as x so if x is doubled y is also doubled etc.)

Answer:

  AB ≈ 581.6 ft

Step-by-step explanation:

The triangle from point A to the base of the lighthouse to the light beam can be modeled as a right triangle with the side opposite the angle being given. That means the distance from A to the base of the lighthouse is found from the tangent relation:

  Tan = Opposite/Adjacent

  tan(7°) = (105 ft)/A

  A = (105 ft)/tan(7°)

Using similar reasoning, the distance to B is ...

  B = (105 ft)/tan(21°)

Then the distance from A to B is ...

  AB = (105 ft)/tan(7°) -(105 ft)/(tan(21°)) = (105 ft)(1/tan(7°) -1/tan(21°))

  AB ≈ 581.6 ft

_____

Additional comment

We know that 1/tan(7°) = cot(7°) = tan(83°). This means the relation can be written ...

  AB = (105 ft)(tan(83°) -tan(69°))

Answer:

18x - 8

Step-by-step explanation:

First, distribute the 4 to the first set of parentheses:

4(3x - 2) + 6x(2 - 1)

12x - 8 + 6x(2 - 1)

Then, simplify the second set of parentheses:

12x - 8 + 6x(1)

Simplify and add like terms:

12x - 8 + 6x

18x - 8 is the simplified expression

Answer:

B 18x – 8

Step-by-step explanation:

bc im right

Topic : Linear equations in two variables.

Given :

Solution :

Now,

(i) – (ii)

\(\qquad \sf \: { \dashrightarrow 2x - y - ( - x - y) = 3 - 3}

\)

\(\qquad \sf \: { \dashrightarrow 2x - y + x + y) = 3 - 3}

\)

\(\qquad \sf \: { \dashrightarrow 3x = 0}

\)

\(\qquad \bf \: { \dashrightarrow x = 0}

\)

Now, substituting the value of x in Eq (i) :

\(\qquad \sf \: { \dashrightarrow 2x - y = 3 }\)

\(\qquad \sf \: { \dashrightarrow 2(0)- y = 3 }\)

\(\qquad \sf \: { \dashrightarrow 0- y = 3 }\)

\(\qquad \bf \: { \dashrightarrow y = - 3 }\)

Therefore,

STEP 1

Laura's dress =$ 179.55

Caitlin's dress= $ 234.99

The difference =$234.99-$179.55

The difference=$55.44

STEP 2

THE FINAL ANSWER IS 23.6%

OPTION 3

Answer:

For -4, the arrow from zero goes 4 points to the left. Add two more.

Step-by-step explanation:

Answer:

-4 + 2  = -2      and -4 + (-2) = -6

Step-by-step explanation:

-4 + 2  = -2  

On the number line,start at zero

Do 4 jumps to the left (you are at -4)

Then do 2 jumps to the right You are at -2

-4 + (-2) = -6

On the number line,start at zero

Do 4 jumps to the left (you are at -4)

Then do 2 more jumps to the left You are at -6

The area formed by the curve y=x²-9, the x-axis, and the ordinates x=-1 and x=4 is , 28.33 square units.

Now, We have to find the area formed by the curve y=x²-9, the x-axis, and the ordinates x=-1 and x=4,

For this, we need to integrate the function with respect to x between x=-1 and x=4.

First, let's find the indefinite integral of the function y = x²-9:

⇒ ∫ x²-9 dx = (x³/3) - 9x + C

where C is the constant of integration.

And, Use the definite integral formula to find the area between x=-1 and x=4:

Area = ∫ y dx (x=-1 and x=4)

        = ∫ (x-9) dx (x=-1 and x=4)

        = ∫ ((4)/3 - 9(4)) - ((-1)/3 - 9(-1))

        = ∫ (64/3 - 36) - (-1/3 + 9)

        = 28.33

So, the area formed by the curve y=x²-9, the x-axis, and the ordinates x=-1 and x=4 is , 28.33 square units.

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Answer:

b = \(\frac{g}{(d^{2}+4) }\)

Step-by-step explanation:

(\(d^{2}\) + 4)b = g  Divide both sides by (\(d^{2}\) + 4)

b = \(\frac{g}{(d^{2}+4) }\)

n(p(a)) = 256

256 = 2^8

n(a) = 8

Must click thanks and mark brainliest

#10.

If the two triangles are similar, then their sides are proportional.

EC we know immediately. If the whole side BC = 12 = BE + EC, and BE is 4, then EC = 8.

Therefore, I can say that BD / (BD + DA) = BE / (BE + EC). To solve the problem for side DA, x will be used in place of DA.

8 / (8 + x) = 4 / (4 + 8)

8 / (8 + x) = 4 / 12 || Cross-multiply

4(8 + x) = 12 * 8

32 + 4x = 96

4x = 64

x = 16

AD = 16

Then, if we know AD, we can easily find AB. AB = AD + DB. AB = 24.

Lastly, we need to find AC. All of the other lengths on the big triangle have been double that of the smaller triangle, so 6 x 2 = 12. AC = 12.

#11.

BC will be parallel to DE if the proportions are equal.

AE / AB = AD / AC

1 / 5 = 2 / 11

These fractions are not equivalent, therefore BC and DE are not parallel.

Hope this helps!! :)

Answer:

75 degrees

Step-by-step explanation:

180=35+70+x

180=105+x

180-105=105-105+x

75=x

Answer:

X + 35 + 70 = 180

X + 105 =180

X = 180 - 105

X = 85 degree

The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean = \(n \times p\) = \(180 \times 0.42\) = 75.6

standard deviation = \(\sqrt{n \times p \times q}\) = \(\sqrt{180 \times 0.42 \times 0.58}\) = 6.622

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The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean =   75.6

standard deviation =  6.622

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Answer:

see explanation

Step-by-step explanation:

The parts of the graph where it is going 'up' are where it is increasing.

This is between x = - 4 to x = 0 and between x = 5 to infinity

Expressing in interval form the graph is increasing for

(- 4, 0 ) and (5, ∞ )

The original dimensions of the piece of metal are; 22 inches is the width of the rectangular metal and 32 inches is the length.

Let x = the width of the rectangular piece of metal

then

(x + 10) = the length

Removing the 2 inches squares would make the dimensions of the box:

(x - 4) by (x + 10-4) or (x - 4) by (x + 6)

The height of the box = 2 inches

The volume equation is; V = L * W * h

Thus;

(x + 6) * (x - 4) * 2 = 1008

divide both sides by 2

(x + 6)(x - 4) = 504

FOIL

x² - 4x + 6x - 24 = 504

x² + 2x - 24 - 504 = 0

x² + 2x - 528 = 0

Using quadratic equation calculator, this will factor to

(x + 24)(x - 22) = 0

We will pick the positive solution;

x = 22 inches is the width of the rectangular metal

then

32 inches = the length

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Answer:

28 ÷8=3.5

35÷3.5=10

10 minutes

Answer:

10 minutes

Step-by-step explanation:

28/8=3.5

35/3.5=10

10 minutes

Answer:

144 units

Step-by-step explanation:

The proper way to construct a stem-and-leaf plot to display the data set {62,67,68,73, 73, 79,91,94,95,97} is to include a stem labeled ‘8’ and enter no leaf on the stem. So, the correct choice is option (b).

A stem and leaf graph is like a special table where each data value is separated into a "stem" (the first number) and a "leaf" (usually the last number). Leaves are sorted in ascending order from left to right. We have a data set with values {62,67,68,73, 73, 79,91,94,95,97}. Now, to construct the stem- leaf plot for our data.

Stem | Leaf

6 | 2 7

7 | 3 3 9

9 | 1 4 5 7

For stem and leaf diagram if some values are not present for some stem, then no leaf should be added to that stem. If we skip that stem than it would distort the shape of distribution of the data.

stem | leaf

6 | 2 7

7 | 3 3 9

8 |

9 | 1 4 5 7

Hence, include a stem labeled 8 and enter no leaves on the stem.

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Complete question:

The proper way to construct a stem-and-leaf display for the data set {62, 67, 68, 73, 73, 79, 91, 94, 95, 97} is to

a)exclude a stem labeled ‘8

b)include a stem labeled ‘8’ and enter no leaves on the stem.

c) include a stem labeled ‘(8)’ and enter no leaves on the stem.

d) include a stem labeled ‘8’ and enter one leaf value of ‘0’ on the stem.

Option (b), The probability function of a discrete random variable is a function that assigns probabilities to each value of the random variable. The function should have the following properties:

The sum of the probabilities must equal 1 (since the random variable must take on some value).

Probabilities can only be non-negative. The following is the main answer to the given question:

The correct probability function for X is:

P(X=3) = 0.3, P(X=4) = 0.1, P(X=5) = 0.6.

To be a probability function, the probabilities must be between 0 and 1, inclusive. Therefore, option (a) is incorrect since P(X=4) has a negative probability.

Option (d) is also incorrect since P(X=6) is not in the set of possible values of X (X only takes on values of 3, 4, or 5).

Option (c) does not work because the probabilities add up to less than 1. That leaves option (b), which works since the probabilities are all non-negative and sum to 1.

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Answer:

3x

Step-by-step explanation:

because if f is -5, -5=-3x-4, -5+4, -1=-3 divide and get 3=x

Answer:

297

Step-by-step explanation:

calculator

Answer: 363

Step-by-step explanation: calculator

Assuming that we have two data sets, a and b, with means of 20 and 30, respectively, and the same standard deviation of 5, we can conclude that neither data set is more spread out than the other.

Suppose you have two data sets A and B, with means of 20 and 30, respectively, and the same standard deviation of 5. To determine which data set is more spread out, we need to compare the variance of the two data sets. Since the variance is the square of the standard deviation, we can compare the variances of the two data sets. Using the formula, Var = s², we can calculate the variances of data set A and B.

\(Var(A) = (5)^2 = 25\\Var(B) = (5)^2 = 25\)

Both data sets have the same variance, indicating that they have the same amount of spread, or convergence. Therefore, we can conclude that no data set is more spread out than the other.

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Answer:

Is letter B the correct one.

Step-by-step explanation:

If you take that 12 and then multiply it x1, x2, x3, x4, x5, x6, x7 and x8 you will get the numbers in the Chart.

Answer:

Have a good day Ahead.....｡◕‿◕｡

Using the area of a sector formula, we get the area to be:

\(\pi (10)^{2} \left(\frac{45}{360} \right)=\boxed{12.5\pi \text{ cm}^{2}}\)

Data mining methods grew out of three fields: statistics, machine learning, and artificial intelligence. We partition data into training and validation data sets randomly to ensure that the resulting models are unbiased and generalize well to new data.

If we were to partition the data in some other manner, we may introduce bias into the model and not have a true representation of its performance.

The essential steps for building a data mining model in the correct order are:

1. Data preparation: Collect and prepare the data for analysis, including cleaning, transforming, and selecting relevant variables.
2. Model selection: Choose the appropriate data mining technique and model to analyze the data.
3. Model building: Develop the model using the selected technique and algorithm.
4. Model evaluation: Test the model's performance on a validation data set and refine as necessary.
5. Deployment: Implement the model in a production environment for real-world use.

Other terms used for:
(a) Input variable: Predictor variable, independent variable, feature
(b) Target variable: Response variable, dependent variable, outcome variable
(c) Attribute: Feature, variable, column
(d) Row: Instance, observation, record

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Answer: 10

Step-by-step explanation:

77 divided by 11 is 7, and 110 divided by 11 is 10

Answer:

10

Step-by-step explanation: