There is an array under. what is the last number?
1 2 4 7 13 24 ?

Answer:

$15.04

Step-by-step explanation:

$30.10 - $8.28 = $21.82 - $6.78 = $15.04

The equation which represents the transformation of the y-intercept of the parent quartic function,\(f(x) = x^4\)   is given by     \(g(x)=(x-3)^4-1\) .

Transformation is the act or process of changing completely. In this also the graph changes or transform.

We have,

Parent Quadratic equation \(f(x)=x^4\)

And

It translated \(3\) units to the right and \(1\) unit down.

And the parent quadratic function is in the form of \(f(x) = a(x-h)^4 + k.\)

Here,

"h" tells if the vertex of the parabola is going left or right.

"k" determines if the vertex of the parabola is going up or down.

So, According to the question;

We have,

\((a)\)   \(3\)  units to the right

\((b)\)   \(1\) unit down

So,

Equation would be  \(g(x)=(x-3)^4-1\)  means that you have moved the vertex of the parabola  \(3\)  units to the right and  \(1\) units down.

(Always remember if moving right means \((x-3)\) sign would be minus because in parent quadratic function is in the form of \(f(x) = a(x-h)^4 + k\) we have minus sign.)

Hence, we can say that the equation which represents the transformation of the y-intercept of the parent quartic function,\(f(x) = x^4\)   is given by     \(g(x)=(x-3)^4-1\) .

To know more about transformation click here

https://brainly.com/question/10059147

#SPJ2

Answer:

12i

Step-by-step explanation:

sqrt(-1) = i, sqrt(144) = 12

Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

Answer: 75.333333...

Step-by-step explanation: Might want to round that number to the nearest tenths. This number is a repeating digit.

Here we will show you step-by-step with detailed explanation how to calculate 452 divided by 6 using long division.

Before you continue, note that in the problem 452 divided by 6, the numbers are defined as follows:

452 = dividend

6 = divisor

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 452 on the right side like this:

6 ⟌ 4 5 2

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

0

6 ⟌ 4 5 2

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

0

6 ⟌ 4 5 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

0

6 ⟌ 4 5 2

- 0

4

Step 5:

Move down the 2nd digit of the dividend (5) like this:

0

6 ⟌ 4 5 2

- 0

4 5

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

0 7

6 ⟌ 4 5 2

- 0

4 5

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

0 7

6 ⟌ 4 5 2

- 0

4 5

4 2

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3

Step 9:

Move down the last digit of the dividend (2) like this:

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 10:

The divisor (6) goes into the bottom number (32), 5 time(s). Therefore put 5 on top:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 11:

Multiply the divisor by the result in the previous step (6 x 5 = 30) and write the answer at the bottom:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

3 0

Step 12:

Subtract the result in the previous step from the number written above it. (32 - 30 = 2) and write the answer at the bottom.

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

- 3 0

2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 452 divided by 6 calculated using Long Division is:

75

2 Remainder

Mark as brainlist

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer: x<4

Step-by-step explanation:

If we break this down as

-2+4x<14 and we add 2 to both sides

4x+<16 and divide by 4

and you get x<4

Answer:

$19.00

Step-by-step explanation:

This is the answer because:

1) In order to know what 5% of 20 is, you have to do 20 x 5/100 = 100/100

2) Next, 100/100 = 1

3) Finally, we have to do 20-1 which is 19

Therefore, the answer is $19.00

Hope this helps! :D

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

m = 0

Step-by-step explanation:

- 10 = - 10 + 7m ( add 10 to both sides )

0 = 7m ( divide both sides by 7 )

0 = m

Answer:

180

Step-by-step explanation:

Answer:

7.88

Step-by-step explanation:

Answer:

24.4%

Step-by-step explanation:

Answer:

Null Hypothesis, \(H_0\) : \(\mu\) = 4.73  

Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 4.73

Step-by-step explanation:

We are given that a group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week.

In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.

Let \(\mu\) = mean number of alcoholic beverages that students in the college drink in a typical week.

So, Null Hypothesis, \(H_0\) : \(\mu\) = 4.73      {means that the mean number of alcoholic drinks that students at his college have in a typical week does not differs from the mean of U.S. college students in general}

Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 4.73     {means that the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general}

The test statistics that can be used here is One-sample t test statistics or One-sample z test statistics depending on whether population standard deviation is given or not.

Hence, this is the hypothesis that are being tested in this problem.

Answer:

answer 4

Step-by-step explanation:

The question that is a statistical question is "How many miles did your family drive last week?"

A statistical question is a question that requires collecting and analyzing data to answer.

It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.

The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).

Read more about statistical question at

https://brainly.com/question/22334957

#SPJ1

As, 4 > 3.33, She will have enough banana bread for the guests.

An overmixed banana bread batter will result in a dense, rubbery loaf. As you're prepping your batter, heed the advice of "stir until just moistened" and "no more than 10 seconds."

For soft and tender banana bread, gently stir the wet ingredients into the dry — don't overmix! The more you stir, the more gluten will develop. The result will be a tough, rubbery banana bread. Simply stir until moist, and then do no more.

Plastic wrap will make especially moist quick breads (pumpkin, banana) gummy, while aluminum foil tends to crinkle and looks a little too pulled-from-the-freezer. Waxed paper or parchment is the way to go here.

No. of guests = 20

Each guests get = 1/6 of a loaf

She made 4 loaves

Total loaves needed = 20 × 1/6

                                   = 3.33

As, 4 > 3.33, She will have enough banana bread for the guests.

To learn more about banana bread refers to:

https://brainly.com/question/2415572

#SPJ1

Complete question:

Erin is making banana bread to serve 20 guests, she wants each guest to have 1\6 of a loaf, if she bakes 4 loaves of banana bread, will Erin have enough banana bread? show your work

Answer:-9 to the fourth power is -6561

Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.

Please give brainliest if right.

Answer:

-6561

Step-by-step explanation:

\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)

Step-by-step explanation:

..................see picture....

55÷11[120÷2{4+(10+5-7)}]

5[60{4+(8)}]

5[60{4+8}]

5[60{12}]

5[60+12]

5[72]

5+72

77

so answer is 77

Answer:

2. LeBron is relatively taller because he has a larger z-score.

Step-by-step explanation:

Given that ,

mean =\(\mu\)  = 69.5

standard deviation \(=\sigma\)  = 2.7

x = 81

Now use the formula of   z-score

\(z = x - \frac{\mu}{\sigma}\)

z =\(81 - \frac{69.5}{2.7}\)

z = 4.26  LeBron  

mean = \(\mu\) = 64.2

standard deviation =\(\sigma\)  = 3.2

x = 76

Now use the formula of   z-score

\(z = x - \frac{\mu}{\sigma}\)

\(z = 76 - \frac{64.2}{3.2}\)

z = 3.69 Candace  

As it can be seen that the lebron is taller as he has more z-score as compared to the Candace  

The major characteristic of the data that affects the selection of appropriate statistics is the level of measurement.

What is statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical methods to gather, summarize, and interpret data, which can be used to make decisions or draw conclusions about a population based on a sample of that population.

The level of measurement determines the type of statistical analysis that can be used to analyze the data. Different types of statistical methods are used depending on the level of measurement of the data.

For example, if the data is nominal (categorical data with no inherent order), then we might use frequency distributions or chi-square tests to analyze it. If the data is interval or ratio (continuous data with an inherent order and equal intervals between values), then we might use measures of central tendency and dispersion, correlation, or regression analysis to analyze it.

Therefore, the major characteristic of the data that affects the selection of appropriate statistics is the level of measurement.

To know more about Statistics visit:

https://brainly.com/question/15525560

#SPJ1

The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

Read more on domain here: brainly.com/question/9765637

#SPJ1

Answer:

Product of given question is 6√5

Step-by-step explanation:

Given:

3√2(√10)

Find:

Product.

Computation:

⇒ 3√2(√10)

⇒ 3√20

⇒ 3√4×5

⇒ 3√2×2×5

⇒ 3×2√5

⇒ 6√5

Product of given question is 6√5

Answer:

\(u=-7\)

Step-by-step explanation:

\(-2u-5=9\)

Add 5 to both sides:

\(-2u-5+5=9+5\)

\(-2u=14\)

Divide both sides by -2:

\(\frac{-2u}{-2}=\frac{14}{-2}\)

\(u=-7\)

We are given:                                                                                                        

Density of glass in g/cm³ = 2.5

Finding the density in kg/m³:                                                                              

In converting 2.5 g/cm³ to kg/m³, we will first convert the g to kg

Converting the g to kg:

2.5 g/cm³ * 1

Since 1kg = 1000g, 1kg/1000g = 1

2.5 g/cm³ * 1kg / 1000g

the g in the numerator and the denominator will cancel out and we will get:

2.5 kg / 1000 cm³

Converting the cm³ to m³:

We know that 1 m³ = 10⁶ cm³

So, 10⁶ cm³ / 1 m³ = 1

Multiplying the density by 1

2.5 kg / 10³ cm³   *   1

2.5 kg / 10³ cm³   *   10⁶ cm³ / 1 m³

the cm³ in the numerator and the denominator will cancel out

2.5 * 10⁶ kg / 10³ m³

2.5 * 10³ * 10³ kg / 10³ m³

2.5 * 10³ kg / m³

2500 kg/m³

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

We want to find the constant of proportionality for a proportional relationship, we will find that the constant of proportionality is 6.

A general proportional relationship is written as:

y = k*x

Where k is the constant of proportionality.

Here, we have the table:

x     y

20  120

18   108

12   72

5    30

Replacing these pairs in the general proportional relationship we can find the value of the constant, for example for the first pair we have:

30 = k*5

30/5 = k = 6

For the second pair we have:

72 = k*12

72/12 = k = 6

That is enough to prove that the constant of proportionality is equal to 6.

If you want to learn more about proportional relationships, you can read:

https://brainly.com/question/12242745

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

Probability serves as an indicator of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing an unlikely event and 1 representing an unavoidable event. Switching a fair coin and coin flips has a probability of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probability theory is a branch of mathematics that studies happenings rather than their properties. It is applied in many fields, including statistics, fund, science, and engineering.

The central limit theorem can be used to approximate the sample mean distribution as a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.

The standard error of the mean (SE) is calculated as follows:

SE = σ/√n

Where n is the sample size and is the population standard deviation.

SE = 83/√160 = 6.575

Z = (X - μ) / SE

Where X represents the sample mean, is the population mean, and SE represents the standard error of the mean.

Z = (553.9 - 541) / 6.575 = 1.94

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1