What is the range of the relation below?
{(-4,1), (-2,0), (8, -1)}

The next number is 47, 1, and 27  in the sequence.

A number series is a sequence of numbers. To answer the questions regarding number series, we must first establish the rules that lead to the production of a number series.

The reverse of 63 is 36.

The sum of the digits of 63 is 6 + 3 = 9.

So, the following number is 36 + 9 = 45, followed by the next odd number, 47. Hence the following number is 47.

The reverse of 00 is 00.

The sum of the digits of 00 is 0 + 0 = 0.

So, the following number is 0 + 0= 0, followed by the next odd number, 0. Hence the following number is 0.

The reverse of 22 is 22.

The sum of the digits of 22 is 2 + 2 = 4.

So, the following number is 22 + 4 = 26, followed by the next odd number, 27. Hence the following number is 27.

Therefore, the next number is 47, 1, and 27  in the sequence.

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The set that is more variable is the daily temperature as they won't be clustered but rather spread out.

The mean of the temperature will be:

= (51 + 37 + 53 + 27 + 91 + 50 + 50 + 83 + 83 + 90)/10

= 615/10

= 61.5

The mean of the precipitation will be:

= (4.5 + 3.8 + 1.4 + 2.4 + 2.8 + 4.6 + 4.7 + 2.3 + 1.5)/10

= 28/10

= 2.8

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Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

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Answer:

-22

Step-by-step explanation:

Solve the expression using PEMDAS.

-19 + 3(-13 + 4 * 3)

~Multiply

-19 + 3(-13 + 12)

~Add

-19 + 3(-1)

~Multiply

-19 - 3

~Subtract

-22

Best of Luck!

Answer:

that's easy

Step-by-step explanation:

first we should check the 5 cm in scale .

Then we can easily draw 5 cm in side and diagonal.

hope it's clear to you.

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

Initial position 4 feet underground

Step-by-step explanation:

on doubling the distance, it goes down to 8 feet.

on climbing up straight 3 feet, reaches 5 feet underground

Answer:

rational

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Answer:

The correct equation is y = 4x + 4.

Answer:

58%

Step-by-step explanation:

58 cuz 40+18=58

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

1 1/2 hr

Step-by-step explanation:

Answer:

A. broke down trade barriers

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer:

250

Step-by-step explanation:

From the question given above,

y varies directly as the cube of x. This can be written as

y ∝ x³

y = Kx³

Next, we shall determine the value of the constant (K) as follow:

y = 54

x = 3

K =?

y = Kx³

54 = K × 3³

54 = K × 27

Divide both side by 27

K = 54/72

K = 2

Finally, we shall determine the value of y when x is 5.​ This can be obtained as follow:

x = 5

K = 2

y =?

y = Kx³

y = 2 × 5³

y = 2 × 125

y = 250

Therefore, the value of y is 250

98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year by using z-score. The correct answer is (0.1859, 0.2133)

The point estimate for the proportion of American adults who earned money by selling something online in the previous year is:

p-hat = 914/4579 = 0.1995

To construct a 98% confidence interval for the population proportion, we can use the formula:

p-hat ± z*(sqrt(p-hat*(1-p-hat)/n))

where z is the z-score associated with the desired confidence level (98% corresponds to a z-score of 2.33), and n is the sample size. Plugging in the values, we get:

0.1995 ± 2.33*(sqrt(0.1995*(1-0.1995)/4579))

Simplifying this expression, we get:

(0.1859, 0.2133)

Therefore, the correct answer is (0.1859, 0.2133). This means we are 98% confident that the true proportion of American adults who earned money by selling something online in the previous year lies between 0.1859 and 0.2133.

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Answer:

90 ft³

Step-by-step explanation:

V = LWH

V = (2 ft)(3 ft)(1 ft)

V = 6 ft³

Each planter has a volume of 6 ft³.

total volume = 15 × 6 ft³ = 90 ft³

Answer:

  384√3

Step-by-step explanation:

Make use of the commutative and associative properties of multiplication to rearrange the order of operands to something suitable. The square of a square root is the original number.

  \(2\sqrt{8}\cdot4\sqrt{8}\cdot6\cdot\sqrt{3}\\\\=2\cdot4\cdot6\cdot(\sqrt{8})^2\cdot\sqrt{3}\\\\=48\cdot8\cdot\sqrt{3}\\\\=\boxed{384\sqrt{3}}\)

Answer:

40

Step-by-step explanation:

x plus2x plus6=126

3x=126-6

3x=120

x=120/3

x=40

Answer:

$312.2

Step-by-step explanation:

Given that:

Amount earned per hour = $11.15

Number of hours worked = 28 hours

Straight time pay is the total amount earned in a given pay period. Hence,

Starlight time pay earned during the period he worked will be :

Amount per Hour * number of hours

$11.15 * 28 = $312.2

Answer:

124

Step-by-step explanation:

You'll need a calculator for this one

Answer:

x = -6

Step-by-step explanation:

2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)

6 + 2/3x = -20 -5x ( add 20 on both sides)

26 + 2/3x = -5x ( minus 2/3x on both sides)

26 = -4.6x (divided -4.6x on both sides)

-5.6 = x ( round up)

-6 = x

hope this helps

Answer:

50 snail shells

Step-by-step explanation:

For each of the given statements the truth value are as follow:

a. ∀n ∃m (n²< m) is False.

b. ∃n ∀m (n < m²) is true.

As given in the question,

Domain of all the presents variables consists of integers.

Truth value for the given statements are as follow:

a.  ∀n ∃m (n²< m)

For integers -2

(-2)² = 4

There is no such integer present whose square is less than the integer.

Truth value of above statement is false.

b.  ∃n ∀m (n < m²)

For integers -3

(-3)² = 9

-3 < 9 is the true for all positive and negative integers.

Therefore, the truth value of the given statements are as follow:

a. ∀n ∃m (n²< m) is False.

b. ∃n ∀m (n < m²) is true.

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Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

Answer:

x-6y+4

Step-by-step explanation:

Answer: 3

Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.

Answer: its 2

Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2

This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.

Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

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