A six-sided die is rolled. What's the probability of rolling a two? Round to the nearest thousandths.

Answer:

The container is filled to 87.5% of the maximum capacity.

Step-by-step explanation:

Given

Maximum capacity of container = m = 64 ounces

Filled capacity=> as it is 8 less than maximum capacity = 64-8 = 56 ounces

The container is 56 ounces full.

To find the percentage:

\(percentage = \frac{56}{64}*100\\= 0.875*100\\=87.5\%\)

Hence,

The container is filled to 87.5% of the maximum capacity.

The coordinates of the other 3​ vertice s are; Vertex 2 =  (0.5​, 2.5)

Vertex 3 =  (2, 1), Vertex 4 =(2, 2.5 )

Its the sum of length of the sides used to made the given figure.

Given that the Perimeter, P = 6 units

The Perimeter of a square = 4s ; s = side length

6 = 4s

s = 6/4

s = 1.5 units

If Vertex 1 =(0.5​,1​) and all vertexes are located in Quadrant​ I

Vertex 2 = (0.5​,1 + 1.5​) =(0.5​, 2.5)

Vertex 3 = (0.5 + 1.5 ​,1​) = (2, 1)

Vertex 4 = (2, 1 + 1.5) = (2, 2.5 )

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Answer:

Please check the complete explanation below.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

\(y = mx+b\)

where m is the slope and b is the y-intercept

                                       ANALYZING TABLE 1

Part A)

Given table 1

x           0            1              2            3

y           1             3              5            7

From table 1, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 1

Thus, the y-intercept is (0, 1).

From the graph, it is clear that the line W has a y-intercept (0, 1).

Therefore, table 1 represents the line W.

Part B)

Taking two points (0, 1) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-1 / 1-0 = 2/1 = 2

now substituting m = 2, and b = 1 in the slope-intercept form

y = mx+b

y = 2x+1

Thus, table 1 represents the line W with the equation line y = 2x+1

                                  ANALYZING TABLE 2

Part A)

Given table 2

x           0            1              2            3

y           0             3             6            9

From table 2, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 0

Thus, the y-intercept (0, 0).

From the graph, it is clear that line F has a y-intercept (0, 0).

Therefore, table 2 represents the line F.

Part B)

Taking two points (0, 0) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-0 / 1-0 = 3/1 = 3

now substituting m = 3, and b = 0 in the slope-intercept form

y = mx+b

y = 3x+0

y = 3x

Thus, table 2 represents the line F with the equation y = 3x

                                    ANALYZING TABLE 3

Part A)

Given table 1

x           0            1              2            3

y           2             3             4            5

From table 3, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 0

Thus, the y-intercept (0, 2).

From the graph, it is clear that line N has a y-intercept (0, 2).

Therefore, table 3 represents line N.

Part B)

Taking two points (0, 2) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-2 / 1-0 = 1/1 = 1

now substituting m = 1, and b = 2 in the slope-intercept form

y = mx+b

y = (1)x+2

y = x+2

Thus, table 2 represents the line N with the equation y = x+2

answer: -3

remember the equation y = mx + b

m is the slope, and b is the y-intercept

so in the equation y = 4x - 3,

4 replaces the m as the slope and -3 replaces b for the y-intercept

so -3 is your answer

Answer:

-3

Step-by-step explanation:

Step 1

The volume of a cone is given as;

where;

Step 2

Find the volume of the cone to the nearest hundredth.

Answer; The volume of the cone to the nearest hundredth=542.87cm³

The value of the function operation f - g(x) is 3x² + x

Function operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.

Addition and subtraction of functions:

A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.

Multiplication of functions:

Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.

Composition of functions:

Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.

In this problem, we have two functions which are;

The value of (f - g)(x) = 3x² + x

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Answer:

1073.45 in²

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The equation to solve for the area of a circle is:

But wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:

Now that we know this, we can insert 37 in for the diameter:

So, the radius of the circle is 18.5 inches.

Inserting 18.5 into the expression for the radius:

Using 3.14 for pi:

Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

The answer will be $68 and Here's Why:

Samantha received $59 for her birthday. That will be the base of the equation. She spent $25 on a charm bracelet so that will be the number being subtracted.

$59 - $25 = $34

We also know that he brother has twice as much money as she does. So that means he has 2x more money than her.

So: $34 x 2 = $68.

So here brother has $68 more than her.

Answer:

y=40x+35

Step-by-step explanation:

After 0 months, she still needs to pay the first $35. This means that this is her y-intercept, and in the formula “y=mx+b”, it would go in the “b” place. Then x would mean how many months have passed, so therefore 40 would go into the “m” place. If you put that together, it looks like “y=40x+35”.

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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6/15

you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.

Answer:

yes they are equivalent

Step-by-step explanation:

when you do are going to put 1/8 = 2/16 and just imagine g = 1 :)

I hope I helped ;)

Answer:

84cm

Step-by-step explanation:

l = 302-(67*2)/2

l = (302cm - 134)/2

l = 168/2

l = 84cm

The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.

To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.

It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.

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Answer:

a)

week 1) 36 television

week 2) 12 television

week 3) 6 television

b) draw 2 televisions

cause 12+12=24

c) the shop sells 78 television in the 4-week period.

36+12+6+24=78

Hello there! :)

Week 3: 6 televisions because one symbol represents 12 televisions, and there's only half of this symbol. One half of 12 is 6.

So the shop sold \(6\) televisions in Week \(3.\)

What about Week 4?

We are given that 24 televisions were sold. We draw 2 symbols because 1 symbol represents 12 televisions.

To calculate the number of televisions sold in total, we must add Week 1+Week 2+Week 3+Week 4.

36+12+6+24=\(78\)

In total, \(78\) televisions were sold.

Hope it helps! :)

\(*GraceRosalia*\)

Answer:

(d) £90

Step-by-step explanation:

Total raffle prize = £240

Ratio of sharing

Monika : Robert

3 : 5

The amount Monika get is calculated as

3/(3 + 5) × £240

= 3/8 × £240

= 3 × 30

= £90

Therefore, the amount Monika gets is £90

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

Part B: is -60 divided by -10

Part C: is The number of increments is positive.

Part D: is -1 times 60 / -1 times 10

Part E: is Any number divided by itself is 1. In the expression  -1 times 60, the -1s in the numerator and the denominator cancel each other out to give the result 60/10, or 6

Part F: is There are 6 increments of -10 feet in -60 feet.

Part G is: copy and paste -10 feet 6 times

Part H: is -60 / 4 increments

Part I: is there is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

Part J: is -60 /4 =-15     Alex’s elevation change in each increment was -15 feet.

Step-by-Step Explaination: I did the test.

Answer:

A:-10 or -10 feet

B:-60/-10 or -60 feet/-10 feet

C: The number of increments is positive.

D: -1 X 60/ -1 X 10 or -1 X 60 feet/ -1 X 10 feet

E: Any number divided by itself is 1. In the expression -1 X 60, the -1s in the numerator and the denominator cancel each other out to give the result 60/10, or 6.

F: There are 6 increments of -10 feet in -60 feet

G: copy and paste 6X

H:-60 feet / 4 increments

I: There is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

J:-60/4 = -15 Alex's elevation change in each increment was -15 feet

Hope this helps

Answer: 226.795 paperclips

Step-by-step explanation:

    First, we need to know how many grams are in a pound.

\(\boxed{\text{1 pound = 453.59 grams}}\)

    Next, we will divide 453.59 grams by the 2 grams per paper clip to see how many paper clips would balance the scale with one pound.

     453.59 / 2 = 226.795 paperclips

Answer:

x< 3

Step-by-step explanation:

first you do the things between ( )

but here you can't change anything between te ( )

then you do the multiplying and dividing

so in this case you get

-3-24x-36>-111

then you do + and -

so in this case you get

-24x - 39 > -111

then you want to get the x so you bring everything without an x to the other side

here you get

-24 x > -111+ 39

-24x> -72

then you separate the x completely

so you get

x<-72/-24

x< 3

above you changed the > to an < because you divide with a negative number

Answer:

48m^2

Step-by-step explanation:

Split the figure into two separate ones and add them together at the end: see image for explanation

Answer:

1/14

Step-by-step explanation:

The value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.

To solve for a variable, say x, in an equation, it means to find the value of x that will make the equation true. Do this by isolating x in the equation.

Given the equation:

x/−8 = −5/18

Cross multiply

18x = (-5)(-8)

18x = 40

Divide both sides by 18

x = 40/18

x = 2 2/9.

Therefore, the value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.

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The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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Answer:

Answer:

x = 12

Step-by-step explanation:

m∠S + m∠T = 180

8x + 7x = 180

15x = 180

x = 12

does this help?

The z score of a student who scores a 92 on the final exam is 2.67.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation

Given that σ = 6, μ = 76. For a raw score of 92:

z = (92 - 76) / 6 = 2.67

The z score of a student who scores a 92 on the final exam is 2.67.

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The conjecture that can be made about the other number is option A: the other number is odd.

Let's assume that the two even numbers are x and y. Then, we can write their sum as x + y = 2a, where a is some even number.

Now, let's consider the sum of 6 and another number, which we can represent as 6 + z, where z is some unknown number. If this sum is even, then we can write it as 2b, where b is some even number.

So, we have the equations:

x + y = 2a (since the sum of two even numbers is even)

6 + z = 2b (since the sum of 6 and another number is even)

We can subtract 6 from both sides of the second equation to get:

z = 2b - 6

Now, we can substitute this expression for z into the first equation:

x + y = 2a

And we get:

x + y + z - 2z = 2a

x + (y + z) - 2z = 2a

x + (2b - 6) - 2z = 2a

x + 2b - 2z - 6 = 2a

This equation tells us that x + 2b - 2z - 6 is an even number (since 2a is even). Since x and 2b are even, the expression -2z - 6 must also be even. Therefore, -2z must be even. This means that z is odd (since an even number minus an even number is even, and -6 is even).

So, we can conclude that the other number (z) is odd. Option A is the correct answer.

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