Train A has 75 cars. if train B has 15 cars, how many times more cars does train A have than train B?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

75/15=

             __3_________

   15    /   75

          -    75

     ---------------------------------

                   0

Have a great day


Related Questions

Unit 3 Parallel & Perpendicular Lines: Homework 3​

Answers

Answer:

check the attached file

Step-by-step explanation:

Solve: -5/6 + m = -3 1/6
m= -4
m= -2
m= -2 1/6
m= -2 1/3

Answers

Answer: -2 1/3

Step-by-step explanation:

Okay

Answer the picture in 5 minutes, please

Answers

Answer:

area of the isosceles triangle is [tex]60cm^{2}[/tex]

Step-by-step explanation:

three sides are a=10, b=13, c=13

Area of Triangle:

[tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where,

[tex]s=\frac{a+b+c}{2}[/tex]

[tex]s=\frac{10+13+13}{2}[/tex]

s = 18

now,

[tex]A = \sqrt{18(18-10)(18-13)(18-13)}[/tex]

[tex]A =\sqrt{9(16)(5)(5)}[/tex]

A = 3x4x5

[tex]A =60cm^{2}[/tex]

For the circle centered at the origin with radius 4 and equation x^2+y^2=16 find dx/dt.

Answers

dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x²+y²=16.

What is implicit differentiation?

The method of finding an implicit function's dependent variable's derivative by differentiating each term individually, symbolizing the derivative, and then solving the resulting expression for the symbol.

Without having to solve the provided equation for y, you may use the implicit differentiation technique to determine the derivative of y with respect to x.

Because we assume that y may be written as a function of x, the chain rule must always be applied when differentiating the function y.

So, the dx/dt will be:

The circle's equation is: x² + y² = 16

Assuming that x = 2, then:

2² + y²   = 16

y² = 12

y = ±√12

Hence, the first quadrant is positive:

y = √12

y = 2√3

When implicit differentiation is used, we get that:

2x dx/dt + 2y dy/dt = 16

If fracdydt = -3, as is the case, then

2(2) dx/dt - 12√3 = 16

4 dx/dt = 16 + 12√3

dx/dt = 16+12√3/4

dx/dt = 4+3√3

Therefore, dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x² + y² = 16.

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what must be true for any direction if the instantaneous rate of change from (1,3,2) is equal to 0? what shape is formed by the collection of these vectors? (be as specific as you can.)

Answers

The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.

From the above given data, the following solution is given below:

Given:

Let f(x,y,z) = x³z - yz²

To find the partial derivatives of f

Here the directional derivative of a function f(x,y,z) is given by:

(df/dx , df/dy, df/dz)

df/dx = 3x²

df/dy = -z²

df/dz = x³ - 2yz

at points(1,3,2)

(df/dx)₍₁,₃,₂₎ = 3(1)² = 3

| (df/dx)₍₁,₃,₂₎ | = 3

(df/dy)₍₁,₃,₂₎ = -2² = 4

| (df/dy)₍₁,₃,₂₎ | = 4

(df/dz)₍₁,₃,₂₎ = 1³ - 2*3*2 = 1-12 = -11

| (df/dz)₍₁,₃,₂₎  | = 11

As we got the maximum modulus of derivative in direction of x. Since, therefore we should move into z direction to maximize the directional derivative.

(df/dz)₍₁,₃,₂₎  = -11

Hence, the instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.

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The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point | (∂f/∂z)₍₁,₃,₂₎  | = 11.

What is instantaneous rate of change?

The derivative value change at a particular point is the same as the instantaneous rate of change, which is the change in rate at a specific instant. The tangent line slope and the instantaneous rate of change at a given point on a graph are the same. That is, the slope is curved.

From the given data, the solution is given below:
Given:
Let f(x, y, z) = x³z - yz²
To find the partial derivatives of f
Here the directional derivative of a function f(x, y, z) is given by:
(∂f/∂x , ∂f/∂y, ∂f/∂z)

∂f/∂x = 3x²

∂f/∂y = -z²

∂f/∂z = x³ - 2yz

at points(1,3,2)

(∂f/∂x)₍₁,₃,₂₎ = 3(1)² = 3

| (∂f/∂x)₍₁,₃,₂₎ | = 3

(∂f/∂y)₍₁,₃,₂₎ = -2² = 4

| (∂f/∂y)₍₁,₃,₂₎ | = 4

(∂f/∂z)₍₁,₃,₂₎ = 1³ - 2*3*2 = 1-12 = -11

| (∂f/∂z)₍₁,₃,₂₎  | = 11

As we got the maximum modulus of derivative in direction of z. Since, therefore we should move into z direction to maximize the directional derivative.
(∂f/∂z)₍₁,₃,₂₎  = -11
Hence, The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.

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Complete question:

Complete question is attached below.

The mean of a set of normally distributed data is 600 with a standard deviation of 20. What percent of the data is between 580 and 620?.

Answers

We know that 68.26% of data is between 580 and 620 using a normal distribution table.

What is a normal distribution?

A data set must (when graphed) follow a bell-shaped, symmetrical curve that is centered around the mean in order to be regarded as having a normal distribution.

Additionally, it must follow the empirical rule that shows the proportion of the data set that lies within (plus or minus) 1, 2, and 3 standard deviations of the mean.

So, we know that:

μ = 600

σ = 20

Use the equation:
z - score = x-μ/σ

580 in the data's Z-score:

= 580-600/20

= -20/20

= -1

While the data's z-score in 620:

= 620-600/20

= 20/20

= 1

Using a table of the normal distribution:

P(580 < z) = 0.1587

Also, P(620 > z) = 0.8413

As a result, the percent of the data that falls between 580 and 620 is given by: P(620 > z) - P(580 z).

= 0.8413  - 0.1587

= 0.6826

= 68.26 %


Therefore, we know that 68.26% of the data is between 580 and 620 using a normal distribution table.

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using the significance levels reported by forecast xtm, at what level can we reject a one-sided null relating to a slope coefficient's statistical significance such that we are 95% confident?

Answers

If the value of test statistic does not lie between -1.96 and +1.96 then, the difference would be significant and the null hypothesis will be rejected.

Using the significance levels as reported by forecast Xtm, we would check the difference of means between the two items.

The critical value of Z at 95% confidence level is 1.96.

Then we would calculate the Test statistic, viz, difference of means/ standard deviation.

Decision Rule:

If we find that the value of test statistic is more than the value of Z, i.e., the test statistic does not lie between -1.96 to +1.96, then, the difference would be significant and the null hypothesis must be rejected.

But, the other way round, if the difference between the two means is not significant at the 95% confidence level,  then the null hypothesis should not be rejected.

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Which pairs of rectangles are similar polygons? select each correct answer.

Answers

Pairs 1 &2 are not similar whereas pairs 3&4 are similar.

The term "similarities" refers to pairs of objects whose corresponding sides have the same ratio. When two figures, such as the rectangles A and B, are given:

length A/length B equals width A/width B

We enter the values of the pairs in the formula above to determine which pairs are similar:

Pair 1

169/1.3=130

49/0.7=70

130 ≠70

therefore the first pair is not similar

Pair 2

18.55/5.3=3.5

10.5/3.5=3

Pair 2 is not similar

Pair 3

120/24=5

60/12=5

this implies that pair 3 is similar

Pair 4

189/2.1=90

81/0.9=90

this means that pair 4 is similar.

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For each relation, indicate whether the relation is a partial order, a strict order, or neither. If the relation is a partial or strict order, indicate whether the relation is also a total order. Justify your answers.
(a)
The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears before y in alphabetical order. Assume that each word appears exactly once in the dictionary.

Answers

The domain is the set of all words in the English language that has a partial order relation and not a total order relation.

Given:

The domain is the set of all words in the English language (as defined by, say, Webster's dictionary.

Assume,

The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears as a substring of y. x is a substring of y if all the letters in x appear in consecutive order somewhere in y. For example, "logical" is a substring of "topological" because the letters l-o-g-i-c-a-l appear consecutively in the order of the word "topological". However, "local" is not a substring of "topological" because the letters l-o are separated from c-a-l by the letters g and i.

Now, x is related to y if x is a substring of y.

Considering the following points through the example:

(A) Clearly, x is a substring of itself. Therefore, x is related to x and hence it is called reflexive.

(B) If x is related to y or y is related to x then x =y and it is called antisymmetric.

(C) If x is related to y and y is related to û then we can say that x is related to û (i.e. if x is a substring of y and y is a substring of û then x is also inscribed in û. Hence, we called it transitive.

Hence, the order is not the total order relation. It is a partial order relation.

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An 8-ounce container of yogurt is on sale for $1.12. What is the cost of 1 ounce of yogurt?

Answers

Answer: $0.14

Step-by-step explanation: All we have to do is divide $1.12 by 8 to get our answer, that being $0.14.

polynomial functions- Part 1
The volume of a right rectangular prism is (10x³ +21x² 25x+6) cubic meters, and the area of its base is
(10x² - 9x+2) square meters.
What is the height of the prism?
Enter your answer in the box.
meters

Answers

Answer:

Below

Step-by-step explanation:

base * height = volume

volume / base = height

divide 10x^2-9x+2    INTO   10x^3 + 21x^2 MINUS 25x +6

                                             ( you left out the minus sign in your post)

to get height = x+3

How much mut be depoited today into the following account in order to have $35,000 in 7 year for a down payment on a​ houe? Aume no additional depoit are made. An account with annual compounding and an APR of 4​%

Answers

$17505 must be deposited today.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Variable principal payments, or the portion of your mortgage payment that goes toward the loan itself rather than interest, are what give compound interest its feel.

Simple or compound interest are also possible. A loan's or deposit's initial principal serves as the foundation for simple interest.

Contrarily, compound interest is calculated based on both the principal amount and the interest that is accrued on it each period. Simple interest is simpler to calculate than compound interest because it is only applied to the principal.

According to our question-

In order to calculate compound interest, we would use the formula A = P(1+r/n)nt.

Where A = the account's total balance at the end of t years, and r is the interest rate.

The periodic interval at which it was compounded is represented by n.

P stands for the principal, or the initial deposit amount.

Since it was compounded once a year, A = 30000 r = 8% = 8/100 = 0.08 and n = 1 according to the information provided.

t = year

In light of this, 30000 = P(1 + 0.08/1)1 7 30000 = P(1.08)7 30000 = 1.7138P

P = 30000/1.7138 \s P = $17505

Hence, $17505 must be deposited today

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geometric sequence with a ratio of 2 and a first term of 1/3.

Answers

Answer:

1/3, 2/3, 4/3, 8/3, 16/3, 32/3

or

1/3, 2/3, 1 1/3, 2 2/3, 5 1/3, 10 2/3

Step-by-step explanation:


At a company meeting, there were 75 people in attendance. 68% of them were managers.
How many managers were in the meeting?

Answers

Answer:

There were 51 managers.

Step-by-step explanation:

First, turn the percentage into a decimal by moving the decimal point over twice to get 0.68. Then, set up this equation:

0.68 x 75 = 51 managers.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

51 I think. I just looked up what’s 68% of 75

professional tennis players may constitute a(n) group for an amateur tennis player who identifies with certain players by imitating their behavior whenever possible despite the fact that the amateur tennis player does not qualify for membership as a professional tennis player because he/she has neither the skills nor the opportunity to compete professionally.

Answers

Professional tennis players may constitute a(n) symbolic group for an amateur tennis player

A symbolic group is one in which a person is unlikely to be accepted even if they act like a member by emulating their beliefs, attitudes, and behaviors. For young people, cricket players like Sachin Tendulkar, Sourav Ganguly, etc., may serve as a representative group. By concentrating on the small scale, symbolic interactionism examines the individual within a community and their relationships with others.

Similar to this, professional tennis players may serve as a symbolic group for an amateur tennis player who identifies with certain players by mimicking their behavior whenever possible, even though the amateur tennis player does not meet the criteria for membership in the category of professional tennis players because he or she does not have the necessary skills or access to the professional circuit.

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The ratio of the number of students in the Chess Club to the number of students on the Math Team is 3:7.

There are 12 students in the chess club.

How many students are on the math team?

Answers

Answer:

28

Step-by-step explanation:

first, find out 12 / 3, which is 4

next multiply 4 by 7, which is 28

3:7 = 12:28

Identify the terms and like terms in the expression. 1/2s−4+3/4s+1/8−s3
HELP ME PLEASE TvT

Answers

1/2s, -4, 3/4s, 1/8 and -s³ are the terms and 1/2s and 3/4s are the like terms of the expression. 1/2s−4+3/4s+1/8−s³

What is Expression?

An expression is combination of variables, numbers and operators.

Given expression is  1/2s−4+3/4s+1/8−s³

One by two times of s minus four plus three by four times of s plus one by eight minus s cube.

In the given expression minus, plus are the operators, s is the variable,

The expression has five terms

1/2s, -4, 3/4s, 1/8 and -s³ are the terms

Like terms contain the same variable which is raised to the same power.

In the given expression  1/2s and 3/4s are the like terms

Hence,  1/2s, -4, 3/4s, 1/8 and -s³ are the terms and 1/2s and 3/4s are the like terms of the expression. 1/2s−4+3/4s+1/8−s³

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Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?

Answers

Answer:

Sea star tuna

Step-by-step explanation:

-4/7​+2/7x-14x+4/7
please answer the question with work :))

Answers

Answer: -13.7142x ≈ -13.72x

Step-by-step explanation:

Combine like terms. (-4/7) and (4/7) cancel each other out because you are subtracting the exact number you are starting with. So you are left with 2/7x - 14x. 2/7-14 = -13.7142 so the answer is -13.7142x. Depending on how you round, the number will be slightly different. You may want to round to the nearest hundredth or tenth place.

(I left out the x in the answer in the picture but it is supposed to be after the -13.7142)

2x-y=1 , if x=-1 , then y=?

Answers

Y = 1. Apologies if this is incorrect, math is not my strong suit, but I try to help as much as I can :)

Answer: y=-3

Step-by-step explanation:  In order to figure out what y would be in this problem, you would subtitute -1 in for x . and ask your self " What is 2* a -1? , The answer to that question would be -2 , ok. then the next step is to take the -2 and subtract by y which in case is 1 or -1 which will get you the answer of y=-3.

Hoped that helped!

(t/f) true or false. with sample size greater than 30, the standard error of sample means is the same as sample standard deviation.

Answers

The standard error for sample means is equal to the sample standard deviation when the sample size is more than 30 is a "false" statement.

Define the term standard error?When comparing a population mean to a sample mean, the standard error of mean, called simply standard error, shows how dissimilar the two are likely to be.It reveals how much doing the sample mean could change if a study were to be repeated with fresh samples drawn from a single population.

For the stated question-

Let's assume that our sample size is 30 and that the population standard deviation is 10.

standard error = 10/√30 = 1.83

Now let me use a sample size of 100 while keeping overall population standard deviation constant.

=10/10 = 1

It is obvious that with this sample size, the standard error will alter.

Therefore, when our sample size grows, the standard error will drop rather than stay the same.

Thus, the standard error for sample means is equal to the sample standard deviation when the sample size is more than 30 is a "false" statement.

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i nee help please and thankyou

Answers

Question 7

Using the secant-secant theorem,

[tex]4(x+4)=3(8) \\ \\ x+4=6 \\ \\ \boxed{x=2}[/tex]

Question 8

Using the intersecting chords theorem,

[tex]8(4x+2)=9(4x) \\ \\ 32x+16=36x \\ \\ 16=4x \\ \\ \boxed{x=4}[/tex]

HELP SOLVE!
name the property if 3x= 4 and 4=z then 3 =z

Answers

The name of the property is transitive property if 3x= 4 and 4=z then 3 =z.

What is a transitive property?

According to the transitive property, "if two quantities are equal to the third quantity, then we can claim that all quantities are equal to each other." The term transitive refers to the act of transferring something. If a, b, and c are three quantities and an is connected to b by some rule and b is related to c by the same rule, then a and c are related to each other by the same rule; this is known as the transitive property of equality.

The transitive property of equality states that if a = b and b = c for any values of a, b, and c, then a = c. In other words, because a and c are both equal to the same item (in this case, b), they must be equal as well.

Given,

3x=4 and 4=z then 3=z

Here a=3, b=4, c=z

The name of the property is transitive property

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5. Identify each of the following as convex or concave polygons:

Answers

Answer:

A) convex B) convex C) concave D) concave

Step-by-step explanation:

concave means going in on itself and convex is going outwards.

A particle accelerates from rest with an acceleration of 3 ms2 to a speed V. It continues at
this speed for time T and then decelerates to rest at 1.5 ms. The total time for the motion
is 1 minute, and the total distance travelled is 1 km. Find a value for V.

Answers

The value for speed V is 188.15 m/s

How to find a value for V?

It was given that a particle accelerates from rest with an acceleration of 3 m/s² to a speed V

It continues at this speed for time T and then decelerates to rest at 1.5m/s². The total time for the motion is 1 minute, and the total distance traveled is 1 km

During acceleration:

a = 3 m/s², at rest u = 0, t = T

V = u + at

V = 0 + 3T

V = 3T

During deceleration:

a = 1.5 m/s², t = 1 minute = 60 s, distance(s) = 1 km = 1000 m

V² = u² +2as

V² = (3t)² +2(1.5×1000)

V² = (3×60)² + 3000

V² = 32400 + 3000

V² = 35400

V = √35400

V = 188.15 m/s

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In a city in Ohio, the sales tax rate is 7.25% . Complete the table.
if the sales tax is 1.16 what is the price before tax and the price including the tax

Answers

Answer: $17.16

Step-by-step explanation:

To find the cost of the untaxed money, you have to divide your sales tax amount by the tax rate.

1.16÷.0725=16

Once you have your untaxed amount, you then add your sales tax to your untaxed amount,

16+1.16=17.16

Kim had 4 chocolate chip cookies and 3 sugar cookies. Kim’s sister ate two of her chocolate chip cookies. Kim shared her remaining cookies with her brothers. How many cookies does one brother get?

Answers

Answer:

Your answer would be 1 chocolate chip cookie and 1.5 sugar cookie each.

Step-by-step explanation:

We know that Kim's sister ate two Chocolate Chip cookies, so: [tex]4-2 =2[/tex] and we also know that the rest of the cookies were shared by two people, so:

[tex]3[/tex] ÷ [tex]2 = 1.5[/tex] and [tex]2[/tex] ÷ [tex]2=1[/tex]

a waiter earned $300 in tips during his shift on friday. on saturday, he earned $335 in tips. what is the percent increase of his tips from friday to saturday?

Answers

The percent increase of his tips from Friday to Saturday is 35/3%.

T is equal to 112/3% as a mixed percentage fraction or 35/3% as an uncommon percentage fraction (decimal fraction: 0.116667)

PREMISES

T is the proportion of a waiter's tips that increased from $300 on Friday to $335 on Saturday.

CALCULATIONS

T=($335-$300)/$300

T=[($35/$300)100]%

T=[(7/60)100]%

T=[(7×100)/60]%

T=70/6%

A mixed percentage fraction of 112/3% or a percentage fraction of 35/3% (decimal fraction: 0.116667)

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Help me please with my homework Find the b and r

Answers

rhambus has four equal sides

so r+l=2r-4

r=5

b-3=r+l=6

b=9

Diamond adjacent angle complementation

So (x+2x+6)=180*

3x=174

x=58

All in all r=5 b=9 x=58 4b-6r=21-4=r+l=b-3=6

2x+6=122

this is the answer thank you when you have th problem you can tell me

A survey conducted asked 110 people what type of pets they owned. The results showed that 72 owned a dog, 58 owned a cat, and 37 owned both a dog and a cat. What is the probability of choosing a person who owns a dog or a cat? Enter your answer as a simplified fraction

Answers

The probability of choosing a person who owns a dog or a cat will be;

⇒ 0.845

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

Number of peoples in survey = 110

And, The results showed that 72 owned a dog, 58 owned a cat, and 37 owned both a dog and a cat.

Now,

Since, Number of peoples in survey = 110

And, Number of peoples owns a dog or a cat = 72 + 58 - 37

                                                                      = 93

Thus, The probability of choosing a person who owns a dog or a cat is,

Probability = 93 / 110

                = 0.845

Therefore, The probability of choosing a person who owns a dog or a cat will be;

⇒ 0.845

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86) which of the following are defenses that some plants use against herbivory? a) production of the unusual amino acid canavanine b) release of volatile compounds that attract parasitoid wasps c) association of plant tissues with mycorrhizae d) a and b only e) a, b, and c Which tool can effectively increase the curl of the subjects lips? Teresa is maintaining a camp fire. She can keep the fire burning for 444 hours with 666 logs. She wants to know how many logs (y)(y)left parenthesis, y, right parenthesis she needs to keep the fire burning for 181818 hours. She assumes all logs are the same. How many logs does Teresa need to maintain the fire for 181818 hours? The first two political parties emerged whenThe men from Virginia intended to draft a new Constitution to replace the Articles ofConfederation.The issue of slavery divided Americans.George Washington announced that he would not run for a third term.John Quincy Adams was elected president amidst scandal. Which of the following outlines specific metrics and the minimum performance or availability level and outlines the penalties for failing to meet the metrics?A. QoSB. RDPC. SLAD. VPC Which graph shows y=2x3 ??? An exponential growth function represents a quantity that has a constantdoubling time.O A. TrueOB. False What is the theme of the poem below It is high time gender inequality like an unwanted waste Be dumped At the refuse dump It is high time We disemboweled the Body of gender classes And unequal sexes It is high time We quarantined polices And practices of Gender discrimination It is high time We planted the crop of Equally shared Household parenting It is high time We leveled down The tower of female Household parenting in this co-parenting category, the parents fought in front of the children and tried to undermine the relationship that the child had with the other parent. a. cooperative b. conflicted c. parallel d. structural select all the statements that describe the development and popularity of the piano in the early romantic period. multiple select question. the demand for new piano music increased. the music publication business became less profitable. the number of piano teachers increased. the interest of the public in attending live music performances increased. a keypad at the entrance of a building has 10 buttons labeled 0 through 9. what is the probability of a person correctly guessing 8 digit entry code although the symptoms of depression vary among people, what is one symptom that tends to be present in most people who are experiencing depression? Which symptom of schizophrenia is described as a false belief that is maintained even though it is irrational?. the midwest division of grainger company has average assets of $200,000 and income of $40,000. what is the return on investment for this division? Cost of Quality Report A quality control activity analysis indicated the following four activity costs of a hotel: Inspecting cleanliness of rooms Processing lost customer reservations Rework incorrectly prepared room service meal Employee training Total $175,000 40,000 20,000 265,000 $500,000 Sales are $4,000,000. Prepare a cost of quality report. Round percent of sales to one decimal place Cost of Quality Report Quality Cost Classification Prevention Appraisal Internal failure External failure Total Quality Cost Percent of Total Broad categories that reflect general impressions and beliefs about males and females, such as "boys play with trucks and girls play with dolls," are known as gender(A)constancies.(B)identities.(C)roles.(D)stereotypes. review the range shift of oak-hickory forests. this forest type is seen toexpand vigorously from the original range, notably displacing which forest type? PLS HELP ME THID NEED TO BE TURNED IN BY TOMORROW!PLS ANSWER ALL THE QUESTIONS AND READ THE PASSAGE PLS AND THABKS I WILL MAKE U BRAINLES according to freud, understanding how the id, ego, and superego interact is essential to grasping the nature of countess corporation is expected to pay an annual dividend of $4.75 on its common stock in one year. the current stock price is $75.15 per share. the company announced that it will increase its dividend by 3.85 percent annually. what is the company's cost of equity?