Data was collected on the price per cupcake on orders of different amounts from a bakery. The scatter plot shows the data that was gathered.

Which of the following describes the pattern of association for the scatter plot?

There is a weak, positive linear association.
There is a weak, negative linear association.
There is a strong, positive nonlinear association.
There is a strong, negative nonlinear association.

Shortest distance from the point (2, 0, -3) to the plane x + y + z = 1 is √3 units.

To find the shortest distance between a point and a plane, we can use the formula:

distance = |ax + by + cz + d| / √(a² + b² + c²)

where a, b, and c are the coefficients of the plane's equation, d is the constant term, and (x, y, z) is the coordinates of the point.

In this case, the plane is x + y + z = 1, so a = 1, b = 1, c = 1, and d = -1. The point is (2, 0, -3), so x = 2, y = 0, and z = -3. Plugging in these values, we get:

distance = |1(2) + 1(0) + 1(-3) - 1| / √(1² + 1² + 1²)

= 3 / √3

= √3

Therefore, the shortest distance from the point (2, 0, -3) to the plane x + y + z = 1 is √3 units.

Learn more about constant term.

brainly.com/question/26099230

#SPJ11

Answer:

I think option (d) is right answer

Answer:

c

Step-by-step explanation:

Using the Factor Theorem, the length of one side of the garden is:

(3x - 4) feet.

The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

In which a is the leading coefficient.

The area of a rectangle is given by the multiplication of it's dimensions. In this problem, it is given by:

A = 9x² - 24x + 16.

The root of 9x² - 24x + 16 = 0 is x = 4/3 with multiplicity 2, hence:

\(x_1 = x_2 = \frac{4}{3}\)

Hence the area can be written as:

\(A = 9\left(x - \frac{4}{3}\right) \times \left(x - \frac{4}{3}\right)\)

Then, to find one side:

9(x - 4/3) = 9x - 12 = 3(3x - 4).

Hence (3x - 4) feet is one side.

More can be learned about the Factor Theorem at https://brainly.com/question/24380382

#SPJ1

Answer:

The scale in the ratio given considers the case that there are 9 sweets (2 + 3 + 4), however, to answer our question, we need to scale up the ratio, so that we can work out the share when we have 36 sweets

Step-by-step explanation:

Ratios are a way of displaying the proportional split of a value and they are very similar to fractions. In the example above, we see that for every 2 sweets Amy has, Beth gets 3 and, Colin will get 4. Like fractions, this proportion will stay the same regardless of the scale of the ratio. The scale in the ratio given considers the case that there are 9 sweets (2 + 3 + 4), however, to answer our question, we need to scale up the ratio, so that we can work out the share when we have 36 sweets. So, what scale factor do we need to get it from a total of 9 sweets to a sum of 36 sweets? We know that 9 multiplied by 4 gives us 36, therefore, we can use a scale factor of 4. Remember how whatever is done to the denominator of a fraction has to be done to the numerator? Ratios like to behave the same way, so now that we have scaled up the sum of the ratio, we need to scale up the individual values by 4 – (2x4) : 3x4 : 4x4. Once we work it out we get the new ratio 8:12:16. You can check if you’re right by adding up the new values and you will see that 8 + 12 + 16 = 36, which is the value that the 9 was initially scaled up to. So we now know that when sharing the 36 sweets, Amy will get 8 sweets, Beth will get 12 sweets and Colin will get 16.

Answer:

$3071

Step-by-step explanation:

Before Tax Price: $2,700.00

Sale Tax: 8.50% or $229.50

After Tax Price: $2,929.50

Now we add the other expenses to the after tax price.

Therefore Ann has to pay $3071 for all Charges.

Answer:

Step-by-step explanation:

Start with 5 bananas = 1.6 pounds.

1.6/5=0.32

3 bananas = 3 × 0.32 = 0.96

12 bananas = 0.96 × 4 = 3.84 since 3 × 4 = 12

4. B because the higher slope indicates a higher rate, so car B went faster.

5.

3 0.5. 0.5÷3=0.16

5 1.6 1.6÷5=0.32

Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

For more information about chi-square test,visit

https://brainly.com/question/17142834

#SPJ4

Answer:

A, C, D

Step-by-step explanation:

I took the test lol :)

(A) The amount of change is different for the percent increase and the percent decrease.

(C) The ratio for the percent increase has a smaller denominator than the percent decrease.

(D) The ratio for the percent increase has a different numerator than the percent decrease.

Therefore, the correct options are as follows -

(A) The amount of change is different for the percent increase and the percent decrease.

(C) The ratio for the percent increase has a smaller denominator than the percent decrease.

(D) The ratio for the percent increase has a different numerator than the percent decrease.

Know more about percentages here:

https://brainly.com/question/24304697

#SPJ2

Answer:

E. 248

Step-by-step explanation:

1 to 500 in set A, 250 to 750 in set B

500 - 250 = 250

100 and 200 are divisible by 100.

250 - 2 = 248

Step-by-step explanation:

please mark me as brainliest thank you

The given inequality is X + 29/x+3<9. We have to solve this inequality, graph the solution and write the answer in interval notation.Steps to solve the inequality:Step 1: Subtract 9 from both sides of the inequality.X + 29/x+3 - 9 < 0Step 2: Bring all the terms to the denominator.X(x+3) + 29 - 9(x+3) / x+3 < 0Simplifying it, (x^2 + 2x - 6x - 3) / (x+3) < 0x^2 - 4x - 3 / x+3 < 0Step 3: Find the critical values. They are the values of x which make the denominator zero. Here, the critical value is x = -3.Step 4: Find the sign of f(x) for values of x less than -3. We will choose x = -4.f(-4) = ((-4)^2 - 4(-4) - 3) / (-4+3) = 7 > 0Therefore, for x < -3, the sign of f(x) is positive (+).Step 5: Find the sign of f(x) for values of x between -3 and 1. We will choose x = 0.f(0) = (0^2 - 4(0) - 3) / (0+3) = -1Step 6: Find the sign of f(x) for values of x greater than 1. We will choose x = 2.f(2) = (2^2 - 4(2) - 3) / (2+3) = -3/5Therefore, for x > -3, the sign of f(x) is negative (-).Step 7: Plot the critical value on the number line. Use an open circle for less than or greater than inequalities and a closed circle for less than or equal to or greater than or equal to inequalities.Step 8: Write the solution in interval notation.(-∞,-3) U (1, 2+√7) U (2-√7, -3+√13) U (-3+√13,∞)The solution of the given inequality is (-∞,-3) U (1, 2+√7) U (2-√7, -3+√13) U (-3+√13,∞).

Answer:

She would have to work 5 hours to make $105.

Step-by-step explanation:

First Step: Find Unit Rate

189/9 = 21

9/9 = 1

Every 1 hour she gets paid $21.

Step 2: Find how much she needs to work to get paid $105

105/21 = 5

We are given that:

Now, recall that when given two congruent triangles the order matters, in this case, the corresponding sides are:

and the corresponding angles are:

Using the CPCTC we get that:

Answer:

Using probability concepts, it is found that:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A theoretical probability is calculated without considering experiments, and we have that 3 out of the 5 numbers(1,3,5) and are odd, hence the theoretical probability is given by:

pT = 3/5 = 0.6.

For an experimental probability, we consider the experiments. Of the 6 spins, 3 resulted in an odd number, hence the experimental probability is given by:

p = 3/6 = 1/2 = 0.5.

Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

3/5

1/2

greater than

Step-by-step explanation: I took the test

Answer:

12x -7

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

the answer is c becuase i know this que

Answer:

All

Step-by-step explanation:

We can check it by using the Pythagorean theorem.

\(a {}^{2} + b {}^{2} = c {}^{2} = {3}^{2} + { \sqrt{27} }^{2} = 6 {}^{2} = 9 + 27 = 36 = 36 = 36 \)

\( {a}^{2} + {b}^{2} = c {}^{2} = {8}^{2} + {15}^{2} = {17}^{2} = 64 + 225 = 289 = 289 = 289\)

\(a {}^{2} + b {}^{2} = c {}^{2} = 5 {}^{2} + {5}^{2} = { \sqrt{50} }^{2} = 25 + 25 = 50 = 50 = 50 = \)

Hope this helps ;) ❤❤❤

The difference between the two lengths is 2.8284 inches

What is cube?

The six square faces of a cube, which has six sides that are all the same length, make it a solid object in three dimensions. One of the five platonic solids, it is additionally referred to as a regular hexahedron. Twelve edges, eight vertices, and six square faces make up the form. Given that the three-dimensional object is a square with equal-length sides, the lengths of the cube's length, breadth, and height are all the same. The edge, which is regarded as the edge's bounding line, divides a cube's faces along a shared border.

Cube's surface area is equal to 6 * (sides)2 where side2 = surface area / 6 and side = sqrt (surface area / 6)

The cube's 1200 square inch surface area is as follows:

side = (surface area / 6)

side = sqrt(1200/6)

size equals 14.1421 inches.

Using the 768-square-inch cube as an example:

side = (surface area / 6)

side = sqrt(768 / 6)

dimension is 11.3137 inches.

Hence the difference between the two lengths is 2.8284 inches

Learn more about cube, by the following link.

https://brainly.com/question/7872727

#SPJ4

Answer:

Following are the solution to this question:

Step-by-step explanation:

For incentive A

The car value = 57000

Calculating debt\(= 57000 - 10000\)

                            \(= 47000\)

Calculating the debt value after incentive \(= 47000 - 5000\)

                                                                    \(= 42000\)

\(PMT = \frac{P(\frac{r}{n})}{(1 - (1 + (\frac{r}{n}))^(-nt))}\)

         \(= \frac{42000 \times (\frac{6.06 \%}{12})}{(1-(1+(\frac{6.06 \%}{12}))^{(-12 \times 4)})}\)

         \(= \frac{42000 \times (0.00505)}{(1-(1+(0.00505))^{(-48)})}\\\\= \frac{212.1}{(1-(1+(0.00505))^{(-48)})}\\\\=\frac{212.1}{-1.74}\\\\= - 121.89 \ \ or \ \ 121.89\)

For incentive  B

The car value = 57000

Calculating the debt value \(= 57000 - 10000\)

                                            \(= 47000\)

Calculating the monthly payment =\(\frac{47000}{(12*4)}\)

                                                        \(= \frac{47000}{(48)}\\\\= \frac{47000}{(48)}\\\\=979.166\)

difference:

\(=121.89 - 979.166\\\\ = - 854.276\)

Answer:

12

Step-by-step explanation:

3(5)+(-2+4-5)

Use PEMDAS: Parentheses,  Exponents, Multiplication, Division, Addition, Subtraction

(-2+4-5)=-3

3(5)-3

3(5)=15

15-3=12

Answer:12

Answer:

One

Step-by-step explanation:

For unique triangles with 3 sides, the sum of the two shorter sides must be greater than the third side.

Shorter sides:  6 cm and 2.5 cm

Longer side:  6.5 cm

6 + 2.5 = 8.5

As 8.5 > 6.5 this is a unique triangle

As the side lengths are fixed, only one unique triangle can be formed.

Answer:

9600 words in an hour.

Step-by-step explanation:

There are sixty minutes in an hour.

60/6=10

multiply 960 by 10

960*10=9600

The secretary can type 9600 words in 1 hour.

Answer:

arithmetic, 9, 1.8181818181818

Step-by-step explanation:

it is arithmetic, because it is adding by 9 every time.

I don't know what they mean by simplist form, but thats what 20/11 equals.

Answer:

yes yes wainth inde Windows

By manipulating algebra, we can prove that for three input variables x1, x2, and x3, m(1,2,3,4,5,6,7) = x1 x2 x3.

Given that there are three input variables x1, x2, and x3, we need to determine the value of m(1,2,3,4,5,6,7). Here, m stands for multiplication of the given numbers. Let's start by multiplying the first three terms m1 = x1 x2 x3. Next, we will take the last two terms m6 and m7. To find these two terms, we will use the distributive property to factor out the common terms x1, x2, and x3 from the terms m4 and m5.m6 = x1 x2 (x1 + x3)

m7 = x1 x3 (x2 + x3)

Now, we will take the fourth and fifth terms m4 and m5 and replace them with the value of m6 and m7, respectively.

m4 = x1 (x2 + x3) x2 x3

= x1 x2 (x1 + x3)

m5 = x1 x2 x3 (x2 + x3) = x1 x3 (x2 + x3) x2

Finally, we will replace the fourth and fifth terms in the expression of m1 as follows: m1 = x1 x2 x3

Hence, we have shown that for three input variables x1, x2, and x3, m(1,2,3,4,5,6,7) = x1 x2 x3.

To know more about variables visit:

https://brainly.com/question/15078630

#SPJ11

1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.

A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.

2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.

It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).

3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.

If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.

Learn more about hypothesis from:

https://brainly.com/question/26185548

#SPJ11

Answer:

Step-by-step explanation:

To solve equations like this you need to to get x by itself.

So, Let's multiply both sides by 5 to get rid of 5.

3x/5 *5 = 30 * 5

= 3x = 150

Now we divide both sides by 3 to get x by itself,

3x/3 = 150/3

x = 50

Answer:

Step-by-step explanation:

\(\frac{3x}{5}=30\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\\frac{5\cdot \:3x}{5}=30\cdot \:5\\\\\mathrm{Simplify}\\\\3x=150\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}=\frac{150}{3}\\\\x = 50\)

Answer:

y = 2x + 2

BRAINLIEST, PLEASE!

Step-by-step explanation:

(-2, -2) (-1, 0)

y = mx + b (m = slope, b = y-intercept)

m = rise/run = change in y / change in x

change in y: +2

change in x: + 1

change in y/change in x = 2/1 = 2

m = 2, y = 2x + b

We can plug -1 in for x, and 0 in for y.

0 = 2(-1) + b

0 = -2 + b

b = 2

y = 2x + 2

Answer:

y = 2x + 2

Step-by-step explanation:

The three-period weighted moving average for july is 145.4.

A weighted moving average technique is one of several methods for forecasting a given month's value or attribute. Other techniques for forecasting from historical data include the evenly weighted moving average method, a regression analysis method, and so on.

Now, according to the question;

The weighted moving average strategy forecast for month of July is given by:

= (Weight for May * Sales for May) + (Weight for April * Sales for April) + (Weight for June * Sales for June)

= (0.5 * 148) + (0.3 * 142) + (0.2* 144)

= 145.4

Therefore, the three-period weighted moving average for july is 145.4.

To know more about the Weighted Moving Average, here

https://brainly.com/question/19260285

#SPJ4

The complete question is -

13. Given the following historical data and weights of .5, .3, and .2, what is the three-period weighted moving average forecast for period 5?

Period Value

1 - 138 (march)

2 - 142 (april)

3 - 148 (may)

4 - 144 (june)

Answer:

A

Step-by-step explanation:

When two lines cross, the angles opposite of each other are always equal.

Example:

You can even check this by adding all of the angles together to equal 360.

Answer:

B: g(x) = -4(x + 3)^2

Step-by-step explanation:

When we shift to the left by a units

we have the new equation become

( x + 3)^2

Stretching by a factor of 4, we have it that;

4(x + 3)^2

reflecting over the x-axis means the y-axis value becomes negative

So we have

g(x) = -4(x + 3)^2