At Elmo's, an old-fashioned barber shop in Melbourne, Florida, 66% of all customers get a haircut, 49% get a shave, and 40% get both.

a) What is the probability that a randomly selected person doesn't get a shave and doesn't get a haircut? Your answer should have at least 3 decimal places.

b) What is the probability that a randomly selected person gets a shave, given that they get a haircut? Your answer should have at least 3 decimal places.

The 86.9167 lbs was the projected weight overstated.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The baggage weight projected was 2,182 1/4 lbs= 2182.25 lbs  

The actual weight of all bags totaled 2,095 1/3 lbs=2095.33 lbs

According to given question we have

We know that

The overstated weight = Projected weight - Actual weight

The overstated weight = 2182.25 lbs -2095.33 lbs

The overstated weight = 86.9167 lbs

Therefore, the 86.9167 lbs was the projected weight overstated.

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Answer: y = (w-3x) / 7

Step-by-step explanation:

w = 3x + 7y

7y + 3x = w

7y = w - 3x

y = (w-3x) / 7

Answer: The answer in exact form would be 1/100 or 0.01

Answer:

1/100

Step-by-step explanation:

1/10^2 = 1/10 x 1/10 = 1/100

The student is incorrect as C. No, because 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins

It should be noted that some researchers claim there is an association between taking vitamins and gaining weight.

In this case, a student reading the results stated that more than half of the study participants are taking vitamins. This is incorrect.

It should be noted that 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins.

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Answer:

B. Yes, because 27.4% take one vitamin and 49.5% take more than one vitamin, which is a total of 76.9% taking vitamins.

Step-by-step explanation:

You must add the percentages of the subjects and took vitamins AND did NOT gain weight. The other answer only adds the percentages of those who took vitamins and gained weight. You're looking for the percentage of everyone who took vitamins, regardless of if they gained weight or not.

11.4% + 16% = 27.4% - Takes one vitamin per day
23.5% + 26% = 49.5% - Takes more than one vitamin per day

27.4% + 49.5% = 76.9%

Therefore the student is correct, since it is more than 50% of the participants.

One possible solution for the given system of equations is:

a = 85, b = 1, c = 1.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

In this problem, we have a system with:

Since the number of variables is greater than the number of equations, we have a free variable, that is, a variable for which we can attribute a value.

We will attribute c = 1, hence the system becomes:

Then one possible solution is a = 85 and b = 1, or vice-versa, as:

Hence one possible solution for the given system of equations is:

a = 85, b = 1, c = 1.

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REG HOURS WORKED × REG HOURLY PAY = REG WEEKLY PAYCHECK

NEXT

(REG HOURLY RATE × .5) + REG HOURLY RATE = = OT HOURLY RATE

NEXT

TOTAL HOURS WORKED - REG HOURS WORKED= OT HOURS WORKED

NEXT

(TOTAL HOURS WORKED - 40)× OT HOURLY RATE + ;REG WEEKLY PAYCHECK =

TOTAL WEEKLY PAYCHECK

The expression as an inequality involving absolute value is |x - 5| < 1/4

The statement is given as

Express the fact that x differs from 5 by less than 1/4 as an inequality involving absolute value

Rewrite as

x differs from 5 by less than 1/4

Less than means <

So, we have

x differs from 5 < 1/4

Differs means -

So, we have

|x - 5| < 1/4

Hence, the expression as an inequality involving absolute value is |x - 5| < 1/4

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Answer:the answer is 56.1 m

Step-by-step explanation:56.1 m

Answer:

[tex](-1,1) \cup (3,5), (-5,2)[/tex]

Step-by-step explanation:

The domain is the set of x-values, and the range is the set of y-values.

The statement that, "Volume can be measured in liters or cubic meters" is True.

There are several units used for measuring the volume of a liquid or other substance or object but the international unit of measurement for volume is the cubic meter or m³.

Volume is also common measured in the very popular unit known as liters. Smaller measures of liters include milliliters. For the cubic meter, there are also cubic millimeters and cubic decimeters.

In conclusion, it is true that volume can be measured in liters or cubic meters.

Options for this question include:

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Answer:

Step-by-step explanation:

c

Answer:

5/3 > w and w > -1

Step-by-step explanation:

l3w-1l < 4

3w-1 < 4 and 3w-1 > -4

3w < 5 and 3w > -3

w < 5/3 and w > -1

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The acres of land Leo plant with soyabeans is 108 acres.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now given that,

Total farms of land = 576 acres

Part of land planted soyabeans = 3/16 of total farms of land

Putting the values we get,

Part of land planted soyabeans = 3/16 of 576 acres

Simplifying we get,

Part of land planted soyabeans = 3/16 * 576 acres

Solving we get,

Part of land planted soyabeans = 1,728/16 acres

Thus, we get

Part of land planted soyabeans = 108 acres

this is the required acres of land with soyabeans.

Thus, the acres of land Leo plant with soyabeans is 108 acres.

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Answer:

Cancer can upset the normal chemical balance in your body and increase your risk of serious complications.

Answer:

Cancer can grow into,or begin to push on near by organs , blood vessels,and nerves. This pressure causes some of the signs and symptoms like fever, extreme tiredness or weight loss. This may be because cancer cells use up much of the body's energy supply.

Answer: The value is not a solution the inequality 8-x>3; x=2

Step-by-step explanation:

8-x>3

-8    -8

----------

-x>-5

----------

-x    -x

x<5

Answer:

distance =  3.72823  miles

6.0000045811 Kph

Step-by-step explanation:

Pace = Time\Distance

Answer:

60 and -60

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Population growth is exponential, growing by some multiple over time that is dictated by a rate. To find the population exponential growth formula, take this initial premise, the population multiplied by a rate, and equate it to the change in population with respect to time.

Number of bacteria present after 4 days will be 20.05 .

Given,

Initial population = 18

Growth rate = 2.74%

Here,

The exponential growth is given by ,

N = [tex]N_{0} (1 + r )^t[/tex]

N = population after time t

No = Initial population

r = growth rate

t = time

Here,

No = 18
t = 4 days

r =2.74% = 0.0274

Substitute the values in the formula ,

N = 18 [tex](1 + 0.0274)^{4}[/tex]

N = 20.05 .

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The displacement of Maurice from his starting point is 232 miles.

The displacement of an object is the change in the position of the object. Displacement measures how far an object is from its initial position or starting point.

The displacement of Maurice from his starting point is calculated as follows;

|B

|

|                         |A

|                         |

|--------------------- |

A line connecting point A and B will form the displacement of Maurice from his staring point.

line connecting AB = hypotenuse side of the right

Base of the triangle = 168 miles

Height of the triangle = 422 - 262 = 160 miles

AB = √(168² + 160²)

AB = 232  miles

Thus, the displacement of Maurice from his starting point is 232 miles.

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Answer: Thus, the number with the larger value of 8 is 184.36 and it is 100 times larger.

Step-by-step explanation:

First we can find out the place value,

Then we can write,

Define Place value :

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value. The number 42,316 is different from 61,432 because the digits are in different positions.

                     [or]

Place value of a digit can be defined as the position of the particular digit in a given number.

For Example :

The place value of 7 in 1870 is  70

Given the data,

First we use digit is :    184.36

Second we use digit is : 9027.83

Place value of 8 in First digit is  ⇒ 184.36 is 80

Place value of 8 in Second digit is ⇒ 9027.83  is 0. 8

We can solve the Ratio is :

                      Ratio = 80/ 0.8

                       Ratio = 100 times

Therefore,

Thus, the number with the larger value of 8 is 184.36 and it is 100 times larger.

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I THINK X IS 5/4 ANY ANSWER CHOISES ??

Answer:

Step-by-step explanation:

A: Kilogram

B: Milliliters

C: 100 Kilometers

The equations which represent the standard form are:

A) 3x+12y=-6

D) -10x+7y=13

F) 3/4x+y=8

G) 5x+14y=3

Given we have a set of equations.

A technique for expressing linear equations is the standard form. The standard form, the slope-intercept form, and the point-slope form are some of the numerous ways that a linear equation can be expressed. Ax + By = C is a representation of the general form, commonly referred to as the standard form, of linear equations.

A) 3x+12y=-6

the above equation is in the form of Ax + By = C

B) x-y = 1

the above equation is not in the form of Ax + By = C

C) 2x=9

the above equation is not in the form of Ax + By = C

D)  -10x+7y=13

the above equation is in the form of Ax + By = C

E) 6y=11

the above equation is not in the form of Ax + By = C

F)  3/4x+y=8

the above equation is in the form of Ax + By = C

where A=3/4 and B=1

G)  5x+14y=3

the above equation is in the form of Ax + By = C

Hence  we get the required equations in the standard form.

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Answer:

B is: (9,-5)

Step-by-step explanation:

The square units between A and AB is 6. So six more units in the other direction and you get (9,-5).

1) The 40th percentile is; 7.6

2) The 75th percentile is; 14.25

The formula to calculate the percentile is;

n = (P/100) * N

where;

P = percentile

N = number of values in a data set (sorted from smallest to largest)

n = ordinal rank of a given value

Let us rearrange the 19 weight values from smallest to largest to get;

20, 21, 23, 25, 26, 28, 29, 30, 32, 35, 39, 40, 41, 42, 43, 44, 45, 46, 50

1) At 40th percentile, we have;

n = (40/100) * 19

n = 7.6

2) The 75th percentile, we have;

n = (75/100) * 19

n = 14.25

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Answer: 4-digit numbers can be chosen that are even and greater than 3000 is equal to 192.

Step-by-step explanation:

Given data,

4-digit numbers can be chosen that are even and greater than 3000.

For even numbers, each formed 4-digit number must end with 2, 4, or 6. And each such number greater than 3000 must begin with 3, 4, 5, 6, or 7.

Since five digits [1–5] are available, the number may have four or five digits.

All five-digit numbers are greater than 3000, and there are 5! = 120 permutations of the five digits.

Four-digit numbers greater than 3000 must have one of three digits (3 or 4 or 5) as its first digit. The next three digits must be selected from the four remaining digits available, so the number of permutations is: 4 * 3 * 2 = 24.

There are 3 * 24 = 72 numbers of the form 3xxx, 4xxx, 5xxx (all of which are greater than 3000).

The number of possible sequences of [1–5] greater than 3000 include 120 four-digit numbers and 72 five-digit numbers, so the total is 192.

Therefore,

4-digit numbers can be chosen that are even and greater than 3000 is equal to 192.

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Answer: 6.47

Step-by-step explanation:

a hundredth is .01 so 3 of those would be .03, and 6.5 - .03 is 6.47

By solving some linear equations, we can see that Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.

Let's define the variables:

We know that the linear equation:

y = 4x + 3

"If Don has 3 more than 4 times the number of marbles Mark has"

The total number of marbles is 103, then:

x + y = 103.

Then we have two linear equations:

Replacing the first equation into the second one:

x + (4x + 3)  = 103.

5x + 3= 103

5x = 100

x = 100/5 = 20

So Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.

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