A stack of 4 identical books is 6.28 inches high. What is the heigh of 30 of these books?

Answers

Answer 1

4books=6.28inches

30books=?

(30x6.28)/4

47.1 inches

answer

47.1 inches


Related Questions

Please help me with this question, I need it to pass the class!!

Answers

Answer:

  cos(20°)

Step-by-step explanation:

The "cofunction" is the function having the same value for the complement of the angle that this function has for the angle.

The cofunction of sine is cosine. The complement of 70° is 90° -70° = 20°.

  sin(70°) = cos(20°)

Write the equation 2x - 3y = 6 in slope-intercept form.

Answers

Answer:

[tex] y = \frac{ 2}{ 3} x - 2[/tex]

Step-by-step explanation:

[tex]2x - 3y = 6 \\ - 3y = - 2x + 6 \\ \\ y = \frac{ - 2}{ - 3} x + \frac{6}{ - 3} \\ \\ \huge \purple{ \boxed{ y = \frac{ 2}{ 3} x - 2}} \\ this \: is \: in \: the \: slope - intercept \: form.[/tex]

Answer:

y = 2/ 3 x − 2

Step-by-step explanation:

slope intercept is y=mx+b

What is the area of the circle?

Answers

Answer:

A =50.24 in ^2

Step-by-step explanation:

The diameter is 8 inches

The radius is 1/2 diameter

r = d/2 = 8/2 = 4

The area of the circle is given by

A = pi r^2

A = 3.14 (4)^2

A =50.24 in ^2

Answer:

C. 50.24 in²

Step-by-step explanation:

d= 8 in

r= 8/2= 4 in

Area= πr²= 3.14×4²= 50.24 in²

select the statements and number line that can represent the inequality.​

Answers

Answer:

  every equivalent to 6 ≤ x

Step-by-step explanation:

We can subtract 5+11/6x to get ...

  7 ≤ -(11/6)x +3x = (7/6)x

Multiplying by 6/7 gives ...

  6 ≤ x

__

When x is in the set of real numbers, x in any real number that is 6 or more.

When x is in the set of integers, x is any integer that is 6 or more: {6, 7, 8, ...}.

When no set is specified, the solution is simply ...

  6 ≤ x

Solve for x. e^x - e ^ -x / e^x + e ^-x = t


Answers

Answer:

D

Step-by-step explanation:

(eˣ − e⁻ˣ) / (eˣ + e⁻ˣ) = t

Multiply by eˣ/eˣ.

(e²ˣ − 1) / (e²ˣ + 1) = t

Solve for e²ˣ.

e²ˣ − 1 = (e²ˣ + 1) t

e²ˣ − 1 = e²ˣ t + t

e²ˣ = 1 + e²ˣ t + t

e²ˣ − e²ˣ t = 1 + t

e²ˣ (1 − t) = 1 + t

e²ˣ = (1 + t) / (1 − t)

Solve for x.

2x = ln[(1 + t) / (1 − t)]

x = ½ ln[(1 + t) / (1 − t)]

Use log rule.

x = ln(√[(1 + t) / (1 − t)])

Solve the following absolute value equation:

|2x-5|=7

x= -6 or x = 1
x = 6 or x = 1
x= -6 or x= -1
x = 6 or x= -1

Answers

Answer:

x = 6                        x = -1

Step-by-step explanation:

When we have absolute value equations, we get two solutions, one positive and one negative

2x - 5 =7             2x -5= -7

Add 5 to each side

2x-5+5 = 7+5         2x -5+5 = -7+5

2x =12                     2x = -2

Divide each side by 2

2x/2 =12/2               2x/2 = -2/2

x = 6                        x = -1

An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.48 ppm and a standard deviation of 3.25 ppm. Suppose that you draw a random sample of 10 printers.
Using the information about the distribution of the printing speeds given by the manufacturer, find the probability that the mean printing speed of the sample is greater than 18.06 ppm. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). Probability (as a proportion)

Answers

Answer:

0.288

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 17.48, \sigma = 3.25, n = 10, s = \frac{3.25}{\sqrt{10}} = 1.027740[/tex]

Find the probability that the mean printing speed of the sample is greater than 18.06 ppm.

This is 1 subtracted by the pvalue of Z when X = 18.06. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{18.06 - 17.48}{1.027740}[/tex]

[tex]Z = 0.56[/tex]

[tex]Z = 0.56[/tex] has a pvalue of 0.712

1 - 0.712 = 0.288

The answer is 0.288

which of the points shown below are on the line given by the equation y=3x?check all that apply.


Point A: (1,3)

Point B: (3,1)

Point C: (3,-1)

Point D: (-1,-3)

Answers

Answer:

Point A: (1,3)Point D: (-1,-3)

Step-by-step explanation:

The value of y in the (x, y) pair must be 3 times the value of x if the point is to be on the line. That is the case for points A, D.

What is the square root of x if x = 25?

Answers

Answer:

5 is your answer

Step-by-step explanation:

The [tex]\sqrt{25}[/tex] will equal to 5, because [tex]5^2[/tex] = 25

Answer:

5

Step-by-step explanation:

5 x 5 =25, so it is the square root of 25

A tree casts an 8-foot shadow on the ground. The length from the tip of the shadow to the top of the tree is 17 feet. What is the height of the tree?

Answers

Answer:

Height of tree = 15 ft

Step-by-step explanation:

Given:

Length of shadow (Base) = 8 ft

Length from the tip to top of the tree (Hypotenues) = 17 ft

Find:

Height of tree = ?

Computation:

Using Pythagoras theorem:

[tex]Height\ of\ tree = \sqrt{Hypotenues^2 - base^2} \\\\Height\ of\ tree = \sqrt{17^2 - 8^2} \\\\Height\ of\ tree = \sqrt{289-64}\\\\Height\ of\ tree = \sqrt{225}\\\\ Height\ of\ tree =15[/tex]

Height of tree = 15 ft

Answer:

The answer is 15 feet from the ground to the top of the tree.

Step-by-step explanation:

Simplify [tex]4(y+11)2-3y^2[/tex]

Answers

Answer:

[tex]y^2+88y+484[/tex]

Step-by-step explanation:

[tex]4(y+11)^2-3y^2= \\\\4(y^2+22y+121)-3y^2= \\\\4y^2-3y^2+88y+484= \\\\y^2+88y+484[/tex]

Hope this helps!

In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included a new "Smart Spot" symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options. Suppose a follow-up survey shows that 18 of 100 persons now rate Pepsi as being "concerned with my health". Calculate the z statistic. (Round your answer to 2 decimal places.) zcalc At α = .05, would a follow-up survey showing that 18 of 100 persons now rate Pepsi as being "concerned with my health" provide sufficient evidence that the percentage has increased? Yes No

Answers

Answer: What what my you explain shorter please

Step-by-step explanation:

How many days are there in 12 weeks? Use the following information to convert this time to days. 1 week = 7 days

Answers

Answer:

84days

Step-by-step explanation:

1 week = 7days =>12 weeks = 12×7 = 84days

Answer:

84 days are in 12 weeks

Step-by-step explanation:

1 week = 7 days

4 weeks = 28 days

So 28 + 28 + 28 = 84 days

A soccer league has 180 players. Of those players 50% are boys. How many boys are in the soccer league?

Answers

Answer:

90 boys

Step-by-step explanation:

There are 180 players

Multiply by the percent that are boys to find the number of boys

180 * 50%

180 * .50

90

Answer:

90 boys

Step-by-step explanation:

The soccer league has 180 players, and 50% or half are boys.

Multiply the total number of players in the league by the percent that are boys.

total number of players * percent of boys

180* 50%

Convert 50% to a decimal by dividing by 100, or moving the decimal place 2 spaces to the left.

50/100=0.50

50.0–>5.0–>0.50

180*0.50

Multiply

90

There are 90 boy soccer players in the league.


If the point (7,6) lies on the graph of y = (x - 5)2 + k, where k is some constant, which other point must also
lie on the same graph?

Answers

Answer:

k = -4 (0, -14) also lies on the graph

Step-by-step explanation:

6 = (7 - 2)2 + k

6 = 10 + k

-4 = k

y = (0 - 5)2 - 4, y = -14

The square of a number is 12 less than 7 times the number.what is the number?

Answers

Answer:

n = 3 or n = 4

Step-by-step explanation:

Let the unknown number be n.  

Then:

n² = 7n - 12

In standard quadratic form, we have:

n² - 7n + 12 = 0

In factored form, we have:

(n - 3)(n - 4) = 0, and so

n = 3 and n = 4

Write two trinomials that you can factor into two binomials. Factor each trinomial. Then write one trinomial that you cannot factor and explain why.​

Answers

Answer:

- Trinomials that can be factored into two binomials are:

1. x² + 5x + 6

Factored to: (x + 3)(x + 2)

2. x² + x - 2

Factored to: (x - 1)(x + 2)

Example of a Trinomial that cannot be factored into two binomials:

x² + 5x + 1

Step-by-step explanation:

- A trinomial is a polynomial that consist of three terms. It is in the form:

ax² + bx + c.

- A binomial is a polynomial that consists of two terms. It is of the form:

bx + c.

A trinomial is said to be factorable if the can be written as a product of two binomials.

Example 1:

The expression: x² + 5x + 6

Can be rewritten as:

x² + 2x + 3x + 6

Grouping this, we have

(x² + 2x) + (3x + 6)

Which becomes

x(x + 2) + 3(x + 2)

Factoring (x + 2), we have

(x + 3)(x + 2)

Which is a product of two binomials as required.

Therefore, the expression is factorable.

Example 2:

The trinomial expression:

x² + x - 2

Can be written as:

x² + 2x - x - 2

= (x² + 2x) - (x + 2)

= x(x + 2) - (x + 2)

Factoring (x + 2), we have

(x - 1)(x + 2)

This a product of two binomials, hence, the tutorial is factorable.

Example 3:

Consider the trinomial:

x² + 5x + 1

This is not factorable, because the term 5x cannot be split into a sum or difference, in such a way that it has a common factor with x² and with 1.

Unlike in the case of Example 1.

x² + 5x + 6

5x was split into the sum of 2x and 3x

That is, x² + 5x + 6 = x² + 2x + 3x + 6

So that, 2x has a common factor, x with x², and 3x has a common factor, 3 with 6.

Use the following to answer questions

Employment statistics in the US are often based on two nationwide monthly surveys: the Current Population Survey (CPS) and the Current Employment Statistics (CES) survey. The CPS samples approximately 60,000 US households and collects the employment status, job type, and demographic information of each resident in the household. The CES survey samples 140,000 non-farm businesses and government agencies and collects the number of payrolls jobs, pay rates, and related information for each firm.

a. What is the population in the CPS survey?

b. What is the population in the CES survey?

Answers

Answer:

A. The population in the CPS survey are all US households.

B. The population in the CES survey are all the non-farm businesses and government agencies.

Step-by-step explanation:

A sample is the number of people from a whole population who actually participated in a survey. The population is the entire group of people whom the survey is meant to study. The sample is an off shoot of the population.

In the given question, the Current Population Survey is a study on the entire US households. Since every household cannot be interviewed because of the large population, a sample of 60,000 households is used.  The whole households in the United States thus form the population under study.

For the Current Employment Statistics survey, the goal is to understand employment statistics in all the non-farm businesses and government agencies. This is the population. Since the entire population cannot be studied, a sample of 140,000 is used.

The image point using the translation (x,) + (x+4,y-1)
for the point (3,3) is

Answers

Answer:  (7, 2)

Step-by-step explanation:

(x, y) → (x + 4, y - 1)

(3, 3) → (3 + 4, 3 - 1)

        =  (7, 2)

Leila runs each lap in 6 minutes. She will run less than 9 laps today. What are the possible numbers of minutes she will run today? Use t for the number of minutes she will run today. Write your answer as an inequality solved for t.​

Answers

Answer:

I'm not sure if Leila is allowed to run 0 laps.

6 ≤ t ≤ 48

Step-by-step explanation:

To find the number of possible laps, you just find the smallest possible number and the largest.

1 = smallest

8 = largest

But, you have to multiply by 6 to find the time.

6 ≤ t ≤ 48

A particular extension cord can support up to 8 amps. Mo has an iron whose label states 1,200 watts and wonders if the iron can be plugged into the extension cord. If watts are converted to amps by dividing by 120, how many amps does the iron use?


Answers

Answer:

10 A

Step-by-step explanation:

 

Given data  

Current in cord is  I  = 8 a m p

Power of iron is   P = 1200 W

Voltage converted is  

V = 120 V

The power can be expressed as

[tex]P=IV=\\I=\frac{P}{V}[/tex]

Substitute the given value in above we get,

I = [tex]\frac{1200}{120}= 10amps[/tex]

Thus, the current use by iron is  

10 A

Carole's age is five times Joe's age. The sum of their ages is 18. How old are Carole and Joe?​

Answers

Answer:

Carole is 15

Joe is 3

Step-by-step explanation:

Carole's age is 15

Joes age is 3

3*5=15

15+3=18

Answer:

Carole = 15 Yrs

Joe = 3 Yrs

Step-by-step explanation:

15/5 =3

15+3 =18

Sry for the short explanation. Hope this helps!

Antoinette needs to solve this system of equations by graphing. Which statements explain how she should graph the equations? Check all that apply.

Answers

Answer:

  see below

Step-by-step explanation:

In my opinion, Antoinette should make use of a graphing calculator to find the solution. (second attachment)

__

Slope-intercept form can be useful for graphing, so it often works well to start with equations in that form. If that is Antoinette's strategy, she should rewrite the first equation to that form. The second equation is already in slope-intercept form.

In doing that rewrite, she will want to get the y-term on one side of the equal sign by itself. She can do that by subtracting 2x from the first equation:

  -7y = -2x +56

As a final step in her rewrite, she would divide by -7 to get ...

  y = 2/7x +56

This 2nd equation has a positive slope of 2/7. The slope of the second equation is similarly the x-coefficient, -2.5. Neither is 4 and they have different signs.

The appropriate answer choices are shown checked below.

Answer:

B and D

Step-by-step explanation:

I got it right m8. Good day


Simplify.

(8^3)7 = 8n

Answers

Answer:

448I think

Step-by-step explanation:

Answer:21

Step-by-step explanation:

Gordon​ Miller's job shop has four work​ areas, A,​ B, C, and D. Distances in feet between centers of the work areas​ are: A B C D A − 5 9 7 B − − 6 8 C − − − 11 D − − − − Workpieces moved per week between work areas​ are: A B C D A − 900 900 500 B − − 500 200 C − − − 600 D − − − − It costs Gordon ​$22 to move 1 work piece 1 foot.What is the weekly total material handling cost of the layout?

Answers

Answer: $600,600

Step-by-step explanation:

Total handling cost :

Workpiece moved * cost * distance

Work area A :

-, (5 × 22 × 900), (9 × 22 × 900), (7 × 22 × 500)

-, 99000, 178200, 77000

Work area B:

-, -, (6 × 22 × 500), (8 × 22 × 200)

-, -, 66000, 35200

Work area C:

-, -, -, (11 × 22 × 600)

-,-,-, 145200

Work area D:

-, -, -, -

Total weekly handling cost :

(99000 + 178200 + 77000 + 66000 + 35200 + 145200)

= $600,600

Kindly check attached picture for more explanation

Based on her weight and pace, Kate burns 586 calories when she runs 5 miles. How many calories will she burn if she runs only 3 miles? How many miles (to the nearest mile) does she need to run each week if she wants to burn one pound (3500 calories) of body fat each week?

Answers

Answer:

Dear dandrexbox

Answer to your query is provided below

She will burn 351.6 calories if she run 3 miles.

She needs to run 4 miles (approx) per day for a week to burn one pound calories.

Step-by-step explanation:

Explanation for the same is attached in image

lucy buys 3 liters of apple juice. How many millilitres of apple juice does she buy?

*please help*​

Answers

Answer:

3000 milliliters

Step-by-step explanation:

1liter contains 1000militers

3liters contain (3*1000)militers

Answer:

3000 millilitres

Step-by-step explanation:

since 1 litre = 1000 millimetres

3 litres will be equal to 1000 x 3 = 3000 ml

Please answer this correctly without making mistakes

Answers

Answer:

746 mi^2

Step-by-step explanation:

The top rectangle has an area of

A = 22*23 =506

The bottom rectangle has an area of

A =10 *24 = 240

Add the areas together

506+ 240 =746

Answer:

746

Step-by-step explanation:

22*23= 506

24*10= 240

506+240= 746

plz mark brainliest

If a random sample of size 774 is selected, what is the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3%

Answers

Suppose 43% of the population has a retirement account. If a random sample of size 774 is selected, what is the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3%?

Answer:

the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3% is 0.9082

Step-by-step explanation:

Given that:

sample size n = 774

Let P be the population proportion for having a retirement account  = 0.43

Also

Let consider [tex]\hat p[/tex] be the sample proportion of having a retirement account.

However; as n is > 30 ; we can say:

[tex]\mathbf{\mu_{\hat p} = 0.43}[/tex]  ;  

 [tex]\mathbf{\sigma_{\hat p^2} = \dfrac{p(1-p)}{n}}[/tex]  

⇒   [tex]\mathbf{\sigma_{\hat p^2} = \dfrac{0.43(1-0.43)}{774}}[/tex]

⇒ [tex]\mathbf{\sigma_{\hat p^2} = \dfrac{0.43(0.57)}{774}}[/tex]

So; we need  P( the sample proportion will differ from 'p' by less than 3% i.e 0.03)

[tex]=P(| \hat p- p|< 0.03)[/tex]

[tex]=P(| \hat p- \mu _p|< 0.03)[/tex]

[tex]= P ( |\dfrac{\hat P - \mu_p}{\sigma_{\hat p}}|< \dfrac{0.03}{\sqrt{ \dfrac{0.43*0.57}{774} }})[/tex]

[tex]= P(|Z|<1.6859)\ \ \ \ [Z=(\dfrac{\hat P - \mu_{\hat P}}{\sigma_{\hat P}}) \sim N(0,1)][/tex]

[tex]= P(-1.6859 <Z<1.6859) \\ \\ = \Phi(1.6859)- \Phi (-1.6859) \\ \\ = \Phi (1.6859) - (1- \Phi(1.6859) \\ \\ = 2 \Phi (1.6859)-1[/tex]

From Normal Cumulative Distribution Function Table

[tex]= 2*0.9541 -1[/tex]

= 1.9082 - 1

= 0.9082

Thus; the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3% is 0.9082

Describe the steps you would use to solve the
following inequality
2x - 3

Answers

Answer: No answer

Step-by-step explanation:

Not an inequality, inequalities are of the form 2x - 3 > something.

If it's 2x - 3 > 0 for example, then add both sides by 3 to get 2x > 3, then div by 2 to get x > 3/2.

Hope that helped,

-sirswagger21

Other Questions
PLEASE HELP ASAP Contesta las siguientes preguntas de la manera mas competa posible: Has tenido un mejor amigo con el que te has peleado o has discutido hace poco? Por que discutieron? Han resuelto sus problemas? Que cosas has apreciado mas en tu vida? Que cosas te han m0lestado mas en tu vida? - Responde en espanol 1 PointWhich of the following statements describes the Dred Scott decision?A. States must provide slaves with equal but separate schools.B. Slaves must be given the right to vote in national elections.C. Slaves were not citizens and could not sue in court.D. States were not allowed to nullify laws or leave the Union. Find the area of the figure. If needed, round to the nearest tenth.Isosceles trapezoidAn isosceles trapezoid with bottom base length of 8 feet, top base of 4 feet, and height of 3 feet.a.36 sq. ftb.18 sq. ftc.15 sq. ftd.16 sq. ftPlease select the best answer from the choices provided What is the solution to this equation?x + 13 = 34A. X = 47B. x= 19oC. x = 27D. x= 21SUBM does anyone know this one? what principles of design does this image use Find the value of the logarithm.log 110Round your answer to the nearest thousandth. What is a substance? Solve for x. 6x3=3 x=9 x=9 x=27 x=27 Find any TWO examples of a word, or phrase, that you find could be problematic in the context of an argument, (i.e. either ambiguous, vague, euphemistic, loaded, etc.) and explain clearly why you find them to be potentially troublesome, misleading, or otherwise unclear Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ABC EDC B) CBA CED C) The triangles aren't congruent using AAS. D) CAB EDC The number of newly reported crime cases in a county in New York State is shown inthe accompanying table, where x represents the number of years since 2001, and yrepresents number of new cases. Write the linear regression equation that representsthis set of data, rounding all coefficients to the nearest hundredth. Using thisequation, find the projected number of new cases for 2013, rounded to the nearestwhole number. Many biographies are written in alphabetical order. chronological order. numeric order. no logical order. (ASAP) Work out the equation of the line passing through (2,-3) and parallel to the line y=3x+4 Write the equilibrium constant: Pb3(PO4)2(s) = 3Pb2+ (aq) +2PO2 (aq) The probability that a member of a certain class of homeowners with liability and property coverage will file a liability claim is 0.04, and the probability that a member of this class will file a property claim is 0.10. The probability that a member of this class will file a liability claim but not a property claim is 0.01. Calculate the probability that a randomly selected member of this class of homeowners will not file a claim of either type. Which right listed in the English Bill of Rights is the basis for the Second Amendment to theabove? Can someone please help me on these two questions? what is the area of this circle? What role did religion play in Columbuss explorations? a. Columbus benefited from Ferdinand and Isabellas efforts to promote tolerance in Spain. b. None whatsoever. c. Spain wanted Columbus to find a refuge for the Jews that the king was driving out of the country. d. Catholics in Spain and Italy supported his expeditions because they wanted to end Muslim control of the eastern trade. e. Columbus was determined to convert Native Americans to Christianity