Divide 556 by 4 USING LONG DIVISION.

What are the numbers under the 556?
Answer as 1st row under 556
Next row under
Next row under
Next row under
Next row under
Next row under
What is the final answer?

we know that

A Rational Number can be made by dividing two integers

so

In this problem

0.38=38/100 ------> is a rational number

1/3 -----> is a rational number

is not a rational number

answer option A

The points to be graphed are (6, 0) and (0, 3). The graph of the equation is shown in the attached image

y = - 1/2x + 3

In order to graph the equation of the line:

First, find the value of x when y = 0:

y = - 1/2x + 3 , when y = 0:

0 = - 1/2x + 3

1/2x = 3

x = 3 × 2

x = 6

Also, find the value of y when x = 0:

y = - 1/2x + 3, when x = 0:

y = - 1/2(0) + 3

y = 3

Therefore,  the values to be plotted on our graph are (6, 0) and (0, 3). The image of the graph is attached

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Answer:

x1=-6, x2=-2

Step-by-step explanation:

Answer:

this is the answer hope it helps

Answer:

To find the area of a rectangle, we multiply its length by its width.

Area = length x width

In this case, the length is 3 feet and the width is 13 feet.

Area = 3 ft x 13 ft

Area = 39 ft²

Therefore, the area of the rectangle is 39 square feet. None of the given options is correct.

Step-by-step explanation:

This is a geometric series where our common ratio is -1/2, and a is -4

Since r is less than -1, this series converges so

The sun is

\( \frac{ - 4}{1 + 0.5} \)

\( \frac{ - 4}{1.5} = - \frac{8}{3} \)

The sum is -8)3

Answer: The product of 6,370*30 is 191,100

\(\implies\) 5

We know that,

BODMAS Rule

According to question,

We have to simplify :

\(\longrightarrow \: - 3 + 2(\frac{ - 6}{3} )^{2} \)

\(\longrightarrow \: - 3 + 2( - 2 )^{2} \)

\(\longrightarrow \: - 3 + 2(4)\)

\(\longrightarrow \: - 3 + 8\)

\( \longrightarrow5\)

Answer:

5.

Step-by-step explanation:

−3+2(-6÷3)²

Parenthesis always go first, no matter the operations that they group up:

−3+2(-2)²

After all parenthesis are solved, we solve exponents:

−3+2(4)

Multiplication:

−3+8

Addition:

5

Explanation:

The letters q and r indicate placeholders for actual numbers.

In this case, we replace q with 3 and replace r with -6

Afterward we use the order of operations PEMDAS like so:

qr + r

3*(-6) + (-6)

-18 + (-6)

-24

The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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Answer:

Step-by-step explanation:

A

Answer:

D.

Hope this helps!

Step-by-step explanation:

A and C are both squares and B is a rectangle but is different because the values are in different spots than the on the solid figure shown.

The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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a. To find the area of the total scoring portion of the board, we can subtract the area outside the double score ring from the area of the entire board:

Area of the entire board = π × (8 inches)² = 64π square inches

Area outside the double score ring = π × (5 inches)² = 25π square inches

Area of the total scoring portion of the board = 64π - 25π = 39π square inches

b. To find the area of the board inside the triple score ring, including the ring, we can use the formula for the area of a circle:

Area of the triple score ring = π × (5 inches)² = 25π square inches

c. To find the area of the board inside the triple score ring, not including the ring, we need to subtract the area of the triple score ring from the area inside the double score ring:

Area inside the double score ring = π × (8 inches)² - π × (5 inches)² = 39π square inches - 25π square inches = 14π square inches

d. The area of the triple score ring is the difference between the areas in parts b and c:

Area of the triple score ring = 25π square inches - 14π square inches = 11π square inches

e. The probability of hitting the triple score ring is the ratio of the area of the triple score ring to the area of the total scoring portion of the board:

Probability of hitting the triple score ring = (11π square inches) / (39π square inches) ≈ 0.282

f. The probability of hitting the double score ring is the ratio of the area inside the double score ring but outside the triple score ring to the area of the total scoring portion of the board:

Probability of hitting the double score ring = (14π square inches) / (39π square inches) ≈ 0.359

g. If you knew you would hit inside a 20 inch by 20 inch square containing the scoring area, the probabilities would be affected by the fact that the dart could land outside the scoring area as well.

h. If you know you will hit within a 20 inch by 20 inch square containing the scoring area, the probability of hitting any part of the scoring area would be:

Probability of hitting the scoring area = (39π square inches) / (20 inches × 20 inches) ≈ 0.3075

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The variances for August are as follows:

1. Materials Price Variance: $332,000 (U)

2. Materials Quantity Variance: $40,275 (U)

3. Labor Rate Variance: $5,750 (U)

4. Labor Efficiency Variance: $0 (None)

5. Variable Overhead Rate Variance: $1,900 (U)

6. Variable Overhead Efficiency Variance: $0 (None)

Using  the following formula:

Materials Price Variance = (Actual Price - Standard Price) * Actual Quantity

Calculating the variances:

1. Materials Price Variance:

Actual Price = $56,000

Standard Price = $23.10 per yard

Actual Quantity = 10,000 yards

Materials Price Variance = ($56,000 - $23.10 * 10,000) = $332,000 (U)

2. Materials Quantity Variance:

Actual Quantity = 10,000 yards

Standard Quantity = 2,500 sets * 3.3 yards per set = 8,250 yards

Standard Price = $23.10 per yard

Materials Quantity Variance = (10,000 - 8,250) * $23.10 = $40,275 (U)

3. Labor Rate Variance:

Actual Rate = $9,250

Standard Rate = $3.50 per hour

Actual Hours = 1,000 hours

Labor Rate Variance = ($9,250 - $3.50 * 1,000) = $5,750 (U)

4. Labor Efficiency Variance:

Actual Hours = 1,000 hours

Standard Hours = 2,500 sets * 0.40 hours per set = 1,000 hours

Standard Rate = $3.50 per hour

Labor Efficiency Variance = (1,000 - 1,000) * $3.50 = $0 (None)

5. Variable Overhead Rate Variance:

Actual Rate = $4,500

Standard Rate = $1.60 per hour

Actual Hours = 1,000 hours

Variable Overhead Rate Variance = ($4,500 - $1.60 * 1,000) = $1,900 (U)

6. Variable Overhead Efficiency Variance:

Actual Hours = 1,000 hours

Standard Hours = 2,500 sets * 0.40 hours per set = 1,000 hours

Standard Rate = $1.60 per hour

Variable Overhead Efficiency Variance = (1,000 - 1,000) * $1.60 = $0 (None)

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Answer:

B

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-6+13 is the same as 13-6

Answer:

y = (x + 6)² - 1

Step-by-step explanation:

So there are two ways of doing it, completing the square or partial factoring (which is what i prefer and will show)

so we will get x first:

x^2+12x

We are factoring x

x(x+12)

Now you do x=-12/2

x=-6

Now that you have x, you plg that back into the equation to get y

y= -6^2 +12(-6) +35

= 36-36+35

=-1

Put into vertex form

y = (x + 6)² - 1

Answer:

72 square units

Step-by-step explanation:

move above the dotted line to make a rectangel then the numbers are 6 and 12 then times them to get 72

Answer:

No, you cannot cross multiply when adding fractions. Cross multiply only when you need to determine if one fraction is greater than another

Step-by-step explanation:

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(rain) = p(R) = 30% = 0.3

P(being late Given that it rains) = P(late | rain) = p(L|R) = 0.4

P(being late Given no rain) = P(late | no rain) = 0.15

(a) What is the probability that it will rain and the bus will be late? = P(RAINnLate) = P(RnL)

P(RnL) = p(R) * p(L|R)

P(RnL) = 0.3 * 0.4

= 0.12

(b) What is the probability that the bus will be late?

P(L) = p(R) * p(L|R) + p(no rain) * p(late | no rain)

P(L) = (0.3 * 0.4) + (1 - 0.3)*(0.15)

P(L) = 0.12 + 0.105

P(L) = 0.225

(c) Given that the bus ran late, what was the probability that it was not raining?

Given that bus ran late, the probability that it was not raining = p(no rain | Late)

p(no rain | Late) = 1 - p(R | L)

Recall :

P(RnL) = p(L) * p(R|L)

0.12 = 0.225 * p(R|L)

p(R|L) = 0.12 / 0.225

p(R|L) = 0.5333

p(no rain | Late) = 1 - 0.533

= 0.46666

= 0.467

Answer:

it is : 2393%

Step-by-step explanation:

Answer:

9.18%

Step-by-step explanation:

The probability of getting a tail on a fair coin flip is 0.5, and the probability of getting a head is also 0.5. Since each coin flip is independent, we can use the binomial probability formula to calculate the probability of getting exactly 5 tails in 15 flips:

P(X = 5) = (15 choose 5) * (0.5)^5 * (0.5)^(15-5)

where (15 choose 5) is the number of ways to choose 5 tails out of 15 flips, which can be calculated as:

(15 choose 5) = 15! / (5! * 10!) = 3003

Substituting the values, we get:

P(X = 5) = 3003 * (0.5)^15 ≈ 0.0918

Therefore, the probability of getting exactly 5 tails in 15 coin flips is approximately 0.0918 or 9.18%.

Answer:

6 bananas because 15/5=3

3(2)=6

Answer: C

Step-by-step explanation:

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

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Answer:

833.29  

Just work it out on a piece of paper.

Answer:

The answer is in the picture below

Step-by-step explanation:

Hope this helps!

Figure number four in the image shows △MNP reflected over the y-axis to form △M`N`P`. The correct option is D.

The reflection operator geometrically repositions image elements, or pixel values, in such a way that they are reflected about a user-specified image axis or image point and placed in a new position in a matching output image.

In the given image option fourth is showing the correct reflection of the triangle △MNP over the y-axis to the form △M`N`P'.

It is observed that every point of the triangle MNP is at the same distance from the y-axis as every point of the triangle M'N'P'.

Therefore, figure number four in the image shows △MNP reflected over the y-axis to form △M`N`P`. The correct option is D.

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Answer: To calculate the expected value, we need to multiply each possible outcome by its probability and then add up the results.

The probability of selecting a gold marble is 3/41, the probability of selecting a silver marble is 8/41, and the probability of selecting a black marble is 30/41.

The winnings/losses associated with each outcome are $3 for gold, $2 for silver, and -$1 for black.

Step-by-step explanation:

Therefore, the expected value can be calculated as follows:

(3/41) x $3 + (8/41) x $2 + (30/41) x (-$1)

= $0.073

The expected value is $0.073, which means that on average, you can expect to win $0.073 per game if you play this game many times.

Therefore, if you play this game, you can expect to win a small amount of money on average, but it is not a guaranteed win.

References:

Grinstead, C.M. and Snell, J.L. (2006). Introduction to Probability. American Mathematical Society.

"Expected Value," Investopedia, accessed May 14, 2023, https://www.investopedia.com/terms/e/expectedvalue.asp.