Find the 125% of 600lb

Answer:

boy probability 6

girl probability 1/6

Step-by-step explanation:

There are 3 students in the chess club, 2 of whom are boys (Adam and Dave) and 1 of whom is a girl (Carol). There are 3 ways to choose the first student (Adam, Dave, or Carol) and 2 ways to choose the second student (Adam or Dave if the first student was Carol, or Carol if the first student was Adam or Dave). This means there are a total of 3*2=6 possible combinations of students who could be selected. Out of these 6 combinations, only 1 involves a boy and a girl (Adam and Carol). Therefore, the probability that a boy and a girl will be selected is 1/6.

Answer:

\(1\)

Step-by-step explanation:

There are 3 total students in the club, so there are 3 possible first students that could be selected. After the first student is selected, there are 2 remaining students to choose from.

Since there are \(2\) boys and \(1\) girl in the club, the probability that a boy is selected as the first student is \(2/3\). The probability that a girl is selected as the second student, given that a boy was selected as the first student, is \(1/2\). Therefore, the probability of selecting a boy and a girl in that order is \((2/3) * (1/2) = 1/3.\)

The same is true if the order is reversed, so the probability of selecting a girl and a boy is also \(1/3\). Thus, the probability of selecting a boy and a girl in any order is \(2/3 + 1/3 = 1\).

In summary, the probability of selecting a boy and a girl at random from the club is \(1\).

The correct option is C, the solution set is:

-2 ≤ x  <  1 or [-2, 1)

Here we want to solve the inequality:

-4 ≤ 5x + 6 < 11

So let's isolate the variable

-4 - 6  ≤ 5x  < 11 - 6

-10/5 ≤ x  < 5/5

-2 ≤ x  <  1

And the solution set can also be written as: [-2, 1)

Then the correct option is C.

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Answer:

The answer is 1054ft³

Step-by-step explanation:

Volume of rectangular prism =1/3LWH

V=1/3×31/2×51/3×12

V=1054ft³

The volume of a door is the area of its base multiplied by the height of the door.

Volume is a measure of the amount of space an object occupies or the capacity of a container. It is a three-dimensional measure, meaning it takes into account the length, width, and height of an object. Volume is typically measured in cubic units such as cubic meters, cubic centimeters, or cubic feet. There are other measures of volume such as liters, gallons, or bushels.

Since the base of the front door is 72 inches and the base of the bedroom door is 60 inches, the volume of the front door is greater than the bedroom door by a volume equal to 72 * height - 60 * height, or 12 * height. So the greater the height of the door, the greater the difference in volume between the two doors.

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1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°

Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.

This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.

The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:

Percentage of pizza eaten = (M° / 360°) * 100%

For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.

Percentage of pizza eaten = (180° / 360°) * 100% = 50%

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a. Apples:  Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes: The amount of grapes that Lily has is not given

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.

a. Apples:

2½ × 4 cups = 10 cups

Therefore, Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons:

2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups

Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes:

The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.

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Answer:

0.22663

Step-by-step explanation:

Given that:

N(30, 8)

Normal distribution :

Mean(m) = 30

Standard deviation (s) = 8

X = 36

To run out of pastries then demand is greater than 36

Zscore = (X - m) / s

Zscore = (36 - 30) / 8

Zscore = 0.75

P(Z > 0.75) = 1 - P(Z < 0.75)

P(Z < 0.75) = 0.77337

P(Z > 0.75) = 1 - 0.77337

= 0.22663

This data does not provide sufficient evidence that the level of radon in the country is unsafe at the 0.05 level of significance.

We have taken a random sample of 32 homes and we have measured the radon level in each. The sample mean is 4.9 with a standard deviation of 2.1. Using a significance level of 5 %, we have to determine whether this data provides convincing evidence that the mean radon level in the country is too high.

State:

H1: mu = 4

H2: mu > 4 (unsafe radon level)

The parameter is an acceptably safe radon level.

The significance level (alpha) = 0.05.

We will do a one-sample t-test with a random sample, large sample size (> 30), and sample size of less than 10% of the population

t-stat = (sample mean - population mean)/(sample standard deviation/square root(sample size)

= (4.9 - 4)/(2.1/\(\sqrt{32}\)) = 2.42

p-value = P(t > 2.42) with 31 degrees of freedom is just above 0.1 (using table value for DOF = 30).

We will not reject H1 at 0.05 level of significance as

p-value > level of significance.

Therefore, we do not have sufficient evidence that the level of radon in the country is unsafe at the 0.05 level of significance.

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Answer:

False. The product of two negative integers is a positive integer.

Answer:

(a) Tens=2

(b) Ten thousandths=8

(c) Tenths=4

(d) Ones=1

Step-by-step explanation:

The given number is 921.430865.

The place value names before the decimal point in the number are

\(\cdots-\text{Thousands}-\text{Hundreds}-\text{Tens}-\text{Ones}-[ . decimal]\)

The place value names before the decimal point in the number are

\([decimal.]\text{Tenths}-\text{Hundredths}-\text{Thousandths}-\text{Ten thousandths}-\cdots\)

So, in the given number, the place value of

(a) Tens=2

(b) Ten thousandths=8

(c) Tenths=4

(d) Ones=1

Answer:

4π

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius).

Diameter = 32.

Circumference = π (32) = 32π.

Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.

The algebraic proof shows that the angles in an equilateral triangle must equal 60° each

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

From the question, we are to use the law of cosines to write an algebraic proof that shows that the angles in an equilateral triangle must equal 60°.

Given any triangle ABC, the measures of angles A, B, and C by the law of cosines are

cos A = (b² + c² - a²)/2bc

cos B= (a² + c²- b²)/2ac

cos C = (a²+ b²- c²)/2ab  

Now, given that the triangle is equilateral, with each of the side lengths equal to s

That is, a = b = c = s

Then, we can write that

cos A = (s² + s² - s²)/(2s×s)

cos A = (s² )/(2s²)

cos A = 1/2

cos A = 0.5

∴ A = cos⁻¹(0.5)

A = 60°

Also

cos B = (s² + s² - s²)/(2s×s)

cos B = (s²)/(2s²)

cos B = 1/2

cos B = 0.5

∴ B = cos⁻¹(0.5)

B = 60°

and

cos C = (s² + s² - s²)/(2s×s)

cos C = (s² )/(2s²)

cos C = 1/2

cos C = 0.5

∴ C = cos⁻¹(0.5)

C = 60°

Thus,

A = 60°, B = 60° and C = 60°

Hence, the algebraic proof above shows that the angles in an equilateral triangle must equal 60° each.

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Answer:

68°

Step-by-step explanation:

Since angle 1=68° and angle 5 is a corresponding angle, thus, angle1=angle 5

therefore angle 5 is 68°

9514 1404 393

Answer:

  (-1, 3)

Step-by-step explanation:

The midpoint is the average of the end points.

  M = (H +K)/2

  M = ((-4, 10) +(2, -4))/2 = (-4+2, 10-4)/2 = (-2, 6)/2

  M = (-1, 3)

The coordinates of the midpoint are (-1, 3).

Answer:

17) 53.2

18) 17

Step-by-step explanation:

In similar triangles theorem, the ratio of the corresponding sides of two triangles are equal.

17) To determine x, ratio of the sides of 1st triangle/Ratio of the sides of 2nd triangle.

Ratio of base to the missing side:

7.6/x = 13.6/95.2

7.6/x = 13.6/95.2

7.6/x = 0.1428

7.6= 0.1429x

x = 53.2

18) ratio of shortest side/ longest side

3.4/7.9 = x/39.5

x = 3.4/7.9 × 39.5

x = 17

Answer:

y= 11x

Step-by-step explanation:

find the slope: 22-11/2-1= 11/1 or 11

To find the y-intercept you can use the slope by subtracting 11 (inverse operation) from the y value of (1,11). So the y- intercept is (0,0). To write the equation plug in 11 for m and 0 for b. Since 0 has no value the equation would be y= 11x

Answer:

after 42 months he has $2,696 in interest

compound quarterly is equivalent to annual rate of 4.835%

Part b

after 42 months he has $2,713 compound continuously

the diffrence is $17  

15000 + 4.75% · 42  compound quarterly is $2,696

15000 + 4.75% · 42 compound continuously is $2,696

Answer:

Step-by-step explanation:

Stop posting FLVS questions on this website. It is illegal, and you can be expelled from the program. :)

Here using the correct order of operations that is PEMDAS, we get the value to be 13.

PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.

The letters stand for:

P stands for parentheses.

Exponents are shown as E.

D stands for division.

The letter M stands for multiplication.

A stand for addition.

S stands for subtraction.

Now in the given question,

15 - (4-3)2

First the parentheses

15 - (1)2

Next is exponents.

15 - 2

At last, after subtracting, we get:

13

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The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.

To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate,  we can use the PMT (Payment) function.

The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.

Let's break down the given information:

Present Value (PV): $0.00 (initial account balance)

Future Value (FV): $3,000.00 (savings goal)

Interest Rate (rate): 10% per year (annual interest rate)

Number of Periods (nper): 4 years (48 months)

Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).

The formula for the PMT function is:

PMT(rate, nper, pv, [fv], [type])

Where:

rate = Interest rate per period

nper = Total number of periods

pv = Present value (initial account balance)

fv = Future value (savings goal)

type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.

We'll assume 0 for monthly savings.

Let's calculate the monthly savings using the PMT function:

PMT(10%/12, 4*12, 0, -3000, 0)

Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).

Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.

Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.

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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.

Answer:

I think he should continue with the same rate of Rs300 per dozen to gain profit of Rs2100

At the rate of Rs 90 pre 5 apples he have to pay Rs 5400 for 300(25 dozen) apples.

total he have 25 dozen of apples.if he sold 12 dozen of appels at 300 per dozen then he earns Rs 3600. according to the merchant goal he wanted to make profit of 2100.we will add rs 2100 to CP hence we will get SP of Rs 5400+2100=7500. if he had already sell 12 dozens at rs 3600 then we will reduce the amount from SP hence we will get Rs 3900 to be earn. 13 dozens of apple is left so we can divide 3900/13 and we will get Rs 300.

if he continues selling those remaining 13 dozens of apple at the same rate the he can make profit of rs 2100.

Answer:

28,38

Step-by-step explanation:

Answer:

6,8,12,20,36,68

esta multiplcando el siemprw por 2

comienza con 2 despues aumenta a 4 despues a 8 y sigues asi

A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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Answer:

5.006

Step-by-step explanation:

Answer:

Let's use "x" to represent the number of animals in the shelter.

The fixed weekly expenses of the animal shelter are $750, and each animal costs an additional $6 per week. Therefore, the total weekly expenses of the animal shelter would be:

Total Weekly Expenses = Fixed Weekly Expenses + (Cost Per Animal * Number of Animals)

Total Weekly Expenses = 750 + 6x

We know that during the winter month, the weekly expenses are at most $900. So we can write the following inequality to represent this situation:

Total Weekly Expenses ≤ 900

Substituting the expression for the total weekly expenses, we get:

750 + 6x ≤ 900

Simplifying this inequality, we get:

6x ≤ 150

Dividing both sides by 6, we get:

x ≤ 25

Therefore, the inequality that represents the number of animals in the shelter for expenses to be at most $900 a week is:

x ≤ 25

This means that the shelter can have at most 25 animals during the winter month for the expenses to be within the limit of $900 a week.

Answer:

-1.6f-46.65

Step-by-step explanation:

Answer:

I popped

Step-by-step explanation:

7