Graph the following function. Check your result using a graphing calculator.
x+1, for xs -5,
-3, for -5 f(x)=
1
3*, for x26
Choose the correct graph below.
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ОВ.
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Answer:

2 (8/19)

Step-by-step explanation:

5 (3/4) ÷ 2 (3/8)=

FIRST: you would want to multiply the denominator to the whole number

SECOND: you would add the numerator

》at this point you should have (23/4)÷(19/8) [these are also called mixed numbers]《

THIRD: you would do the method of KCF ( keep change flip)

-you would keep your first # (23/4)

-you would change the division sign to a multiplication sign

- and you would flip (19/8) to (8/19)

》your equation should be (23/4)×(8/19)《

this should equal 2 (8/19)

:)

Answer:

yes

Step-by-step explanation:

....

The probability of playing 4 games is 17/77 . To construct a discrete probability distribution for the random variable x, we need to calculate the probability of each possible outcome (games played) .

Assign it to its corresponding value. Given the frequency data provided, we can calculate the probabilities as follows: Total number of games played: 17 + 14 + 20 + 26 = 77. (a) Constructed discrete probability distribution: x (games played) | P(x); 4 | 17/77 ≈ 0.221; 5 | 14/77 ≈ 0.182; 6 | 20/77 ≈ 0.260 ; 7 | 26/77 ≈ 0.338. The discrete probability distribution table shows the values of x (games played) and their corresponding probabilities, which are calculated by dividing the frequency of each outcome by the total number of games played.

For example, the probability of playing 4 games is 17/77, approximately 0.221, since there were 17 instances of 4 games played out of the total of 77 games played. Similarly, the probabilities for playing 5, 6, and 7 games are calculated based on their respective frequencies and the total number of games played.

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The test-statistic (z-score) is 1.19984.

To find the test statistic (z-score) using the p-value, you will need to use the inverse of the standard normal cumulative distribution function (CDF), also known as the inverse normal function or the "normal inverse function." This function can be found using a calculator or a spreadsheet program with built-in functions, or you can use a table of standard normal probabilities to find the corresponding z-score for a given p-value.

For example, if the p-value is 0.05, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.645. This means that the test statistic (z-score) for a p-value of 0.05 is 1.645.

It's important to note that this method only works for a one-tailed test, for a two-tailed test you need to divide your p-value by 2 and then use the inverse normal function.

so, the p-value is 0.1151, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.19984.

Therefore, the test-statistic (z-score) is 1.19984.

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Answer: 154

Step-by-step explanation:

\(a_1=4,\ d=6\quad \rightarrow \quad a_n=4+6(n-1)\quad \rightarrow \quad a_n=6n-2\\\\\\\sum^7_{n=1}6n-2\\\\\\a_1=4\\a_7=40\\\\\\S_n=\dfrac{a_1+a_7}{2}\cdot n\qquad =\dfrac{4+40}{2}\cdot 7\qquad =22\cdot 7\qquad =\large\boxed{154}\)

Answer:

154 I think

Step-by-step explanation:

Answer:

28r + 8

Step-by-step explanation:

The reason is because you every side equals 7r + 2 which is why you all the sides which gives you 7r + 2 + 7r + 2 + 7r + 2 + 7r + 2= 28r + 8. This is what I believe the answer is but I hope this helped!

Answer:

x≤12

Step-by-step explanation:

-48/-4=12 and the symbol means less than or equal to.

Answer:

30

Step-by-step explanation:

6 = 6, 12, 18, 24, 30, 36

5 = 5, 10, 15, 20, 25, 30, 35

Answer:

4-8=-2

2x+2=8

Step-by-step explanation:

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

The first option, hiking at 3 mph for the first two hours and then at 5 mph, would take a total of 4 hours and 24 minutes. The second option, hiking at a constant speed of 4 mph the whole way, would take exactly 3 hours.

1. Option 1: Hiking at 3 mph for the first two hours and then at 5 mph for the remaining distance.

  - In the first two hours, Bob would cover a distance of 3 mph * 2 hours = 6 miles.

  - The remaining distance to be covered is 12 miles - 6 miles = 6 miles.

  - Bob's speed for the remaining distance is 5 mph, so it would take him 6 miles / 5 mph = 1.2 hours.

  - Converting 1.2 hours to minutes, we have 1.2 hours * 60 minutes/hour = 72 minutes.

  - The total time for Option 1 is 2 hours + 1.2 hours = 3.2 hours, or 3 hours and 12 minutes.

2. Option 2: Hiking at a constant speed of 4 mph for the whole distance.

  - To cover 12 miles at 4 mph, Bob would take 12 miles / 4 mph = 3 hours.

Option 1 would take 4 hours and 24 minutes, while Option 2 would take 3 hours. Thus, Option 2 is the faster option.

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Bob can either hike at different speeds or at a constant speed. The first option takes 3.2 hours and the second option takes 3 hours. The second option is faster.

To calculate the time it takes for each option, we can use the formula: time = distance / speed.

For the first option, Bob hikes 3 mph for the first two hours, so he covers a distance of 3 mph * 2 hours = 6 miles. Then, he hikes 5 mph for the rest of the way, covering a distance of 12 miles - 6 miles = 6 miles. The total time for the first option is (6 miles / 3 mph) + (6 miles / 5 mph) = 2 hours + 1.2 hours = 3.2 hours.

For the second option, Bob hikes at a constant speed of 4 mph for the entire 12-mile trail. So the time for the second option is 12 miles / 4 mph = 3 hours.

Therefore, the first option takes 3.2 hours and the second option takes 3 hours. The second option is faster.

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The question asks to identify the quadrant in which an angle in standard position lies.

When an angle is in standard position, it means that its initial ray coincides with the positive x-axis, and the terminal ray determines the angle's position. The position of the terminal ray relative to the axes determines the quadrant in which the angle lies. In Quadrant I, the angle measures between 0 and 90 degrees, with both the x and y coordinates being positive. In Quadrant II, the angle measures between 90 and 180 degrees, with the x coordinate being negative and the y coordinate being positive. In Quadrant III, the angle measures between 180 and 270 degrees, with both the x and y coordinates being negative. In Quadrant IV, the angle measures between 270 and 360 degrees, with the x coordinate being positive and the y coordinate being negative. By examining the signs of the x and y coordinates, we can determine the specific quadrant in which the angle lies.

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Answer:

wait do u have a word bank or anything like words to go with it or numbers ????

There are 15 rows of seats in the theater

The given parameters are:

The number of rows is calculated as:

Rows = Total number of people/People per row

This gives

Rows = 357/24

Evaluate the quotient

Rows = 14.875

Round up the number

Rows = 15

Hence, there are 15 rows of seats in the theater

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in right angle traingle two angle are equal

so.x=y

in triangle

x+y+90=180(sum of interior angle of triangle)

2x=180-90

x=90/3=45°

Answer:

\(\frac{31}{12}\)

Step-by-step explanation:

Convert 5 1/6 to an improper fraction

\(\frac{31}{6}\)

The word "of" means times or multiplies so

\(\frac{31}{6}\) x \(\frac{1}{2}\) = \(\frac{31}{12}\)

Therefore the answer is \(\frac{31}{12}\)

Using the Central Limit Theorem, it is found that the correct option regarding the standard error of the mean is given by:

c. reduce the standard error of the mean to approximately 70% of its current value.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard error \(s = \frac{\sigma}{\sqrt{n}}\).

Doubling n, we have that:

\(s_d = \frac{\sigma}{\sqrt{2n}} = \frac{1}{\sqrt{2}}\left(\frac{\sigma}{\sqrt{n}}\right) = 0.7\left(\frac{\sigma}{\sqrt{n}}\right) = 0.7s\)

Hence option C is correct.

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Answer: 46 eggs

Step-by-step explanation:

There are 12 eggs in a dozen.  Thus, there are 3 5/6*12, or 46 eggs.

Hope it helps <3

Thomas is 49 years old.

What is equation?

Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

Given:

Huilan is 11 years older than Thomas.

The sum of their ages is 109.

We have to find the Thomas's age in years.

Let x be the Thomas age.

Then the age of Huilan is x + 11.

As the sum of their ages is 109.

⇒ x + (x + 11) = 109

         2x + 11 = 109

               2x = 98

                 x = 49

Hence, Thomas is 49 years old.

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The Domain is {50,100,150,200} and the Range is {35,70,105,140}, the table and the graph is shown below.

In the question it is given that

From 10 seeds 7 plants grow ,

So , from 1 seed 7/10 plants grow .

From 50 seeds = 50*(7/10) = 35 plants grow

Similarly

from 100 seeds = 100*(7/10) = 70 plants grow.

From 150 seeds = 150*(7/10) = 105 plants grow.

From 200 seeds = 200*(7/10) = 140 plants grow.

The table showing the relationship between the seeds planted and plants growing for 50, 100, 150, and 200 seeds is shown below .

To graph the relation

we take the domain that is number of seeds  {50,100,150,200}  on X axis .

and

take the range that is number of plants grown {35,70,105,140} on Y axis .

The graph of the relation is plotted below .

Therefore , the Domain is {50,100,150,200} and the Range is {35,70,105,140} , the table and graph is shown below .

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Answer:

answer below

Step-by-step explanation:

f(x) = 2x - 10    ... by graph, slope = 2 and y intercept=-10

g(x) = 2x + 6

transformation 1: horizontal translation LEFT 8 units

f(x+8) = 2 (x+8) - 10 = 2x + 6 = g(x)

transformation 2: vertical translation UP 16 units

f(x) + 16 = 2x - 10 + 16 = 2x + 6 = g(x)

a. The minimum value of the average cost over the interval 1 ≤ x ≤ 10 is approximately 1966.7 (rounded to the nearest tenth).

b. The minimum value of the average cost over the interval 10 ≤ x ≤ 20 is 708,400.

a. 1 ≤ x ≤ 10For the given cost function C(x) = x³ + 32x + 250, we are to determine the minimum value of the average cost over the interval 1 ≤ x ≤ 10.

To find the minimum value of the average cost over the interval 1 ≤ x ≤ 10, we first calculate the total cost for the given interval:

Total cost = C(1) + C(2) + ... + C(10) = (1³ + 32(1) + 250) + (2³ + 32(2) + 250) + ... + (10³ + 32(10) + 250) = 17,700

Next, we calculate the average cost:Average cost = Total cost / (10 - 1) = 17,700 / 9 ≈ 1966.67

b. 10 ≤ x ≤ 20For the given cost function C(x) = x³ + 32x + 250, we are to determine the minimum value of the average cost over the interval 10 ≤ x ≤ 20.

To find the minimum value of the average cost over the interval 10 ≤ x ≤ 20, we first calculate the total cost for the given interval:

Total cost = C(10) + C(11) + ... + C(20) = (10³ + 32(10) + 250) + (11³ + 32(11) + 250) + ... + (20³ + 32(20) + 250) = 7,084,000

Next, we calculate the average cost:Average cost = Total cost / (20 - 10) = 7,084,000 / 10 = 708,400

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Answer: YOUR MOM

Step-by-step explanation:

YOUR MOM IS FAT AND THAT'S FACTS

A geometric sequence is an exponential function. Instead of y=ax, we write an=crn where r is the common ratio and c is a constant (not the first term of the sequence, however). A recursive definition, since each term is found by multiplying the previous term by the common ratio, ak+1=ak * r.

Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem.

There are many shapes in geometry based on their dimensions. Circle, Triangle, Square, Rectangle, Kite, Trapezium, Parallelogram, Rhombus and different types of polygons are the 2-d shapes. Cube, Cuboid, Sphere, Cone and Cylinder are the basic three-dimensional shapes.

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Answer:

y=-4 to 4

x=-1 to -7

Step-by-step explanation:

The ordered pair that is a solution to the inequality:

y > (1/4)*x + 5

is (4, 7)

Here we have the inequality:

y > (1/4)*x + 5

To check if an ordered pair is a solution, we just need to replace the values of the ordered pair on the inequality and see if it is true.

For example, for (12, 8)

We will get:

8 > (1/4)*12 + 5

8 > 3 + 5

8 > 8

This is false, so (12, 8) is not a solution.

The pair that is a solution is:

(4, 7)

7 > (1/4)*4 + 5

7 > 1  + 5

7 > 6

This is true.

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Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Answer:

15 inches

Step-by-step explanation:

12 inches = 1ft

12ft = 144 inches

144/9 = 16

20ft = 240 inches

240/16 = 15 inches

Tom wants the scale model to be 9 inches tall, the width of the scale model should be 15 inches.

A scale model is a physical representation of an object that maintains the proportions and relative sizes of the original object.

First, we need to determine the scale factor that will be used to create the model.

We can do this by converting the height of the real garage from feet to inches and dividing it by the desired height of the model in inches:

12 feet = 12 x 12 = 144 inches

scale factor = 144 / 9 = 16

This means that every dimension of the model will be 16 times smaller than the actual dimensions of the garage.

To find the width of the scale model, we need to take the actual width of the garage and divide it by the scale factor:

20 feet = 20 x 12 = 240 inches

240 / 16 = 15 inches

Thus, the width of the scale model should be 15 inches.

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Answer:

3.41666667

Step-by-step explanation:

A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

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