What is the equation of this graphed line? Enter your answer in the slope-intercept form in the box.

From the information given, a right-tailed test using the z-distribution is appropriate.

At the null hypothesis, it is tested if the class of statistics students is not significantly smarter than the general population, that is, their mean IQ is of at most 100, hence:

\(H_0: \mu \leq 100\)

At the alternative hypothesis, it is tested if they are significantly smarter, that is, their mean IQ is greater than 100, hence:

\(H_1: \mu > 100\)

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Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

Answer:

Probability that the temperature below average = 20%

Step-by-step explanation:

Given:

Probability that tomorrow's temperature average = 55%.

Probability that the temperature above average = 25%

Find:

Probability that the temperature below average

Computation:

Probability that the temperature below average = 100% - Probability that tomorrow's temperature average - Probability that the temperature above average

Probability that the temperature below average = 100% - 55% - 25%

Probability that the temperature below average = 100% - 80%

Probability that the temperature below average = 20%

Answer:

The points  -3, 5 and 8 are included in the solution set

Step-by-step explanation:

2 ≤ |x-3| ≤ 6

x-3 ≥ 2 or x-3 ≤ -2       -->      x ≥ 5 or x ≤ 1

-6 ≤ x-3 ≤ 6   -->  -3 ≤ x ≤ 9

-9  and -5 are smaller than -3 so they don't hold for the second inequality. -3  fits in both. but 0 and 2 don't fit in the first one.

then 5 does and 8 is included too.

The points  -3, 5 and 8 are included in the solution set

Problem N 13

The formula to calculate the midpoint between two points is given by

we have the coordinates

D(-1,6) and E(3,-2)

substitute the given coordinates

Therefore

Answer:

If a negative number is multiplied with a positive number, the result will be negative. If two positive numbers are multiplied, the result will be positive. If two negative numbers are multiplied, the result will also be positive.

Step-by-step explanation:

The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?

The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.

However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.

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STEP - BY - STEP EXPLANATION

What to find?

Identification of pattern and then the next number.

Given:

98, 92, 86, 80, 74

Observe that to get the second term, we will subtract 6 from the previous term.

That is;

First term = 98

Second term = first term - 6 =92

Third term = second term - 6 = 86

Fourth term = Third term - 6 = 80

Fifth term = Fourth term - 6 = 74

Now, to find the sixth term, we will apply the same pattern.

Hence, the next term is 68

ANSWER

68

The sample space for the acceptance outcomes of the three friends is S={G, B, R, G', B', R'}. Therefore, option A is the correct answer.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given that, Ghanem, Bilal and Rashed, applied for admission at ZU. Define G for "Ghanem is accepted" and G' for "Ghanem is not accepted". Similarly, you can define B & B' for Bilal and R & R' for Rashed.

Sample space of accepted ={G, B, R, G', B', R'}

Therefore, option A is the correct answer.

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Answer:

it is zero

Step-by-step explanation:

because if you count back by two's and you start back from the negative six in would go negative four and then negative two and then zero

From Mark studies of a parallelogram and discovering that the slope of the diagonals are 5/3 and -3/5 the conjecture that can be made is

The diagonals are perpendicular to each other

The two different lines that cross each other at a 90° angle are called perpendicular lines.

If two lines intersect at a 90 degree angle, we say that the two lines are perpendicular.

Perpendicular lines have a feature which relates with the slope of the line as being a negative reciprocal

In the context of the given problem,

diagonal 1 has slope 5/3, the negative reciprocal is -3/5.

Since the two diagonals posses this relationship they are said to be parallel

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Based on unit conversions, the number of customers that would seat at each table is 12 persons.

The number of customers per table can be determined using unit conversions, which involve multiplication and division.

In this situation, the total available space per table is converted to squared inches from squared feet, and divided by the required table space per customer.

Conversely, the required table space per customer can be converted to squared feet and the result used to divide the total available space per table.

The required table space per customer = 300 in²

The total available space (area) per table = 300 ft²

1 foot = 12 inches

300 ft² = 3,600 in² (12 x 300)

The number of customers per table = 12 (3,600 ÷ 300)

OR:

300 in² = 25 ft² (300 ÷ 12)

The number of customers per table = 12 (300 ÷ 25)

Thus, using unit conversions, we expect the restaurant owner to seat 12 customers per table.

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The area occupied by each table is 300 ft².

Answer:

B, 10

Step-by-step explanation:

2x+20 = 4x

subtract 2x from both sides

20 = 2x

10 = x

Explanations:

The given expression is 7/20

You know that 7 is lesser than 20 and it cannot be divided by 20. You first write 0, add a point, then do 70/20. This can be shown mathematically as:

Join 0 to the remainder, 10. It becomes:

Note that in the first division, you got 0., then you got 3, then you got 5. Combine these three together, you will get:

Answer:

3. Standard deviation is the square root of the variance.

4. Standard deviation is useful because it has the same units as the underlying data.

Step-by-step explanation:

3. In statistics, the dispersion in a given data with respect to its mean distribution can be determined or measured by standard deviation and variance. The standard deviation of a distribution can also be determined as the square root of variance.

4. Standard deviation is measured in the same units as that of the original data. Thus it has the same units as the underlying data.

The expression √36 - 2² is equivalent to the expression 2. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ √36 - 2²

Simplify the expression, then the value of the expression will be

⇒ √36 - 2²

⇒ 6 - 4

⇒ 2

The expression √36 - 2² is equivalent to the expression 2. Then the correct option is A.

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Answer: The answer is 2

Step-by-step explanation:

Answer:

  reflect over the x-axis and shift down 3

Step-by-step explanation:

The leading coefficient of -1 means the graph is reflected over the x-axis. The addition of -3 to the function means each graphed point is shifted down 3 units from the original.

The graph of y = -x^2 -3 is the result of the transformation ...

  reflect over the x-axis and shift down 3

Answer:

The answer is "\(H_0:\mu \geq 50.1\ \ and \ \ H_0: \mu \geq 50.1\)"

Step-by-step explanation:

An initial random selection of mail-order physicians representing firm A worked an average of 50.1 hours per week. My goal is to reject the Null Hypothesis since it is employed to make no difference. In this case,\(H_0 =\mu \geq50.1\)

Medical insurance changes are attributed to reducing the average workweek. New medical coverage is claimed to be have reduced your average workday after the government change. \(H_1: \mu <50.1\)

Answer:

13 cm

Step-by-step explanation:

To find the perimeter of a triangle you have to add all the sides together

5+5+3=13 cm

This triangle has two sides with the same length, therefore, it is isosceles.

Answer:

Example: Simplify the ratio 6 : 10. The factors of 6 are: 1, 2, 3, 6; The factors of 10 are: 1, 2, 5, 10; Then the greatest common factor of 6 and 10 is 2; Divide both terms by 2; 6 ÷ 2 = 3; 10 ÷ 2 = 5; Rewrite the ratio using the results. The …

Step-by-step explanation:

Answer:

Second, first, fourth, third.

Step-by-step explanation:

Second, first, fourth, third

Answer:

from least to greatest:

sea grass, red algae, green seaweed, mangrove.

mangrove is the shallowest depth

sea grass is the deepest

if the question is asking which is the deepest, then the answer is sea grass.

if the question is asking which number has the greatest value, the answer is mangrove.

if the question is asking which number has the greatest absolute value, then the answer is sea grass.

my guess is to start with mangrove. so put the values in as mangrove, green seaweed, red algae, sea grass.

if this is not correct, which it should be, put in these values as the opposite order. This is based on how you interpret the question.

Answer:

that would mean you would end at 10:01

Step-by-step explanation:

:)

The Software E costs in the long term is $10,500

Cost sharing is a term used to describe a situation in which two or more parties agree to share the cost of a particular expense or project. In other words, it refers to a joint financial contribution made by multiple parties towards a common goal.

Software E purchased in $6,000. If person will be satisfied then he will purchase it for long term, so the satisfaction rate is 75% of original cost.

Then, the Software E costs in the long term = $6,000 + ($6,000× 75%)

\(=6,000 + (6,000 * \frac{75}{100} )\)

\(=6,000 + (60 * 75 )\)

\(=6,000 + 4500\\= 10,500\)

Therefore, the Software E costs in the long term is $10,500

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Answer:

x = 42

y = 21

Step-by-step explanation:

Since its a right triangle, we have:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

\(sin (60) = \frac{21\sqrt{3} }{x} \\\\x= \frac{21\sqrt{3} }{sin (60)} \\\\x= \frac{21\sqrt{3} }{\frac{\sqrt{3} }{2} } \\\\x = \frac{21\sqrt{3} *2 }{\sqrt{3} } \\\\x = 21*2\\\\x = 42\)

\(cos (60) = \frac{y}{x}\\\\cos (60) = \frac{y}{42}\\\\y = cos (60)*42 \\\\y = \frac{1}{2} * 42\\\\y = 21\)

A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:

a. Revenue Function:

Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.

The revenue function can be formulated as:

Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)

In equation form:

Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

b. Constraints:

The constraints for the availability of ingredients can be formulated as follows:

Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280

Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300

Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80

Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250

Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190

Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

c. Solve the system of linear inequalities using E x c e l Solver:

To solve the system of linear inequalities using E x c e l Solver, follow these steps:

1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:

| | A | B |

|-----|-----------|-----------------|

| 1 | Cakes | Selling Price |

| 2 | Cake 1 | $9 |

| 3 | Cake 2 | $12 |

| 4 | Cake 3 | $4 |

| 5 | Cake 4 | $5 |

| 6 | Cake 5 | $8 |

| | | |

| | | Formula |

| 9 | Milk | 280 |

| 10 | Sugar | 300 |

| 11 | Eggs | 80 |

| 12 | Flour | 250 |

| 13 | Cream | 190 |

2. In cell B16, enter the formula for the revenue:

=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11

3. In cell B18, enter the formula for the milk constraint:

=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6

4. In cell B19, enter the formula for the sugar constraint:

=7×B2 + 4×B3 + 5×B4

5. In cell B20, enter the formula for the egg constraint:

=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6

6. In cell B21, enter the formula for the flour constraint:

=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6

7. In cell B22, enter the formula for the cream constraint:

=4×B2 + 5×B4 + B5 + 3×B6

8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:

=B2

9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:

=B3

=B4

=B5

=B6

10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.

11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).

12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).

13. Click on the "Add" button in the "Subject to the Constraints" section.

14. In the Constraint window, select the range B18:B22 for the constraint cells.

15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.

16. Set the Solver options as desired, and click on the "Solve" button.

E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.

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Answer:is D

Step-by-step explanation:

Answer: B

Coordinates: A’ (-3,2). B’ (-3,-3). C’(0,-2)

Ok, so

A line passes through the points (20,-14) and (4,-14). We are asked to find the equation of this line.

First, we're going to find the slope of the line.

For this, remember that:

Given two points (x1,y1) and (x2,y2), the slope (m) between them can be found using the equation:

If we replace our values, we notice that:

And replacing in the equation:

The slope of our line is 0.

Now, given the slope "m" and one point (x1,y1), the equation in slope-intercept form can be found using the formula:

Replacing (x1,y1) as (4,-14) and m=0:

Therefore, the equation of the line is y=-14

Answer:

\(y=2x+5\)

Step-by-step explanation:

Hi there!

Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where two given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (-3,-1) and (1,7)

\(m=\frac{7-(-1)}{1-(-3)}\\m=\frac{7+1}{1+3}\\m=\frac{8}{4}\\m=2\)

Therefore, the slope of the line is 2. Plug this into \(y=mx+b\):

\(y=2x+b\)

2) Determine the y-intercept (b)

\(y=2x+b\)

Plug in one of the given points and solve for b

\(7=2(1)+b\\7=2+b\)

Subtract 2 from both sides to isolate b

\(7-2=2+b-2\\5=b\)

Therefore, the y-intercept is 5. Plug this back into \(y=2x+b\):

\(y=2x+5\)

I hope this helps!