Interpret the structure of expressions.

Use the structure of an expression to identify ways to rewrite it.

Answer:

8

Step-by-step explanation:

put the numbers in order smallest to largest

3 5 5 7 8 8 9 9 9 10

you need to find the middle number but because there is an even amount of numbers you need to find the two middle numbers and add them then divide by 2.

In this case it's the 8+8 =16

16/2=8

The complete table with the ordered pairs are shown in the diagram attached below.

To complete the table with the ordered pairs, find the equation of the given line.

Slope (m) of the line = rise/run = 2/1

m = 2

The y-intercept (b) = 4 (the line intercept the y-axis at this point).

Substitute m = 2 and b = 4 into y = mx + b:

y = 2x + 4

Use the equation to find the missing ordered pairs of the given table:

When x = -1:

y = 2(-1) + 4

y = 2

When y = 5.5:

5.5 = 2x + 4

5.5 - 4 = 2x

1.5 = 2x

1.5/2 = x

0.75 = x

x = 0.75

When x = 2.6:

y = 2(2.6) + 4

y = 9.2

The image below shows the complete table with the missing ordered pairs.

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Answer: 7/26

Step-by-step explanation:

7 red and 7 blue = 14 total

7/14 or 1/2 chance of getting red first

7/13 chance of getting red the second time

7/13*1/2 = 7/26

7/26 chance

sorry if it’s wrong but I hope it helps

To find the number of days it will take the class to finish the book, we can divide the total number of pages by the number of pages read per day:

Number of days = Total number of pages / Number of pages read per day

Plugging in the given values, we get:

Number of days = 318 / 15 ≈ 21.2

Since we cannot have a fraction of a day, we round up to the nearest whole number of days. Therefore, it will take the class about 22 days to finish the book.

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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Answer:

Z = 3

Step-by-step explanation:

if y = 3 then 3 x 2 = 6 subtract that from 9 and u get 3 so therefore z is 3

The source, format, assumptions and constraints, and other facts concerning certain data are collectively called 'metadata'.

Metadata provides information about data that helps users understand and use it effectively.

Some examples of metadata include,

The date and time the data was collected.

The file format of the data.

The units of measurement used.

And any assumptions or limitations that were made during the collection or analysis of the data.

By providing metadata along with the data, users can better understand the context and quality of the data.

This can help them make more accurate and informed decisions.

Metadata is classified into three types which are known as descriptive, administrative, and structural.

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Using the Pythagorean theorem, the missing side length of a triangle with legs measuring 21 and 28 is determined to be 35.

To determine the missing side length of a triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have a triangle with two sides given: one leg of 21 and another leg of 28. Let's label the missing side length as "x."

Applying the Pythagorean theorem, we have:

x^2 = 21^2 + 28^2

x^2 = 441 + 784

x^2 = 1225

Taking the square root of both sides, we find:

x = √1225

x = 35

Therefore, the missing side length is 35.

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Answer:

1=b

2=f

3=d

4=e

5=a

6=b

So tough question dud

Answer:

Samuel : x

wife : y

sum of their age : 2+ x : 10

The given inequality is

To solve this inequality we will move the term x from the left side to the right side and the numerical term from the right side to the left side

Subtract 27x from both sides

Now, add 29 to both sides

Divide both sides by 31 to find x

Answer: yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want a pair of transformations that will map ∆ABC to ∆A'B'C'.

We note that segment BC points downward, and segment B'C' points upward. This suggests a vertical reflection.

We also note that point A' is 2 units left of point A, suggesting a horizontal translation. It is as far below the x-axis as A is above the x-axis.

The two transformations that map ∆ABC to ∆A'B'C' are ...

These transformations are independent of each other, so may be applied in either order.

The Exact number of \($$P_{9,2}$$\) is \(72\)

The Exact number of \($$C_{7,5} $$\) is \(21\)

An exact number is a value that is known with complete certainty. In other words, an exact number has zero uncertainty and an infinite number of significant figures. An exact number cannot be simplified or reduced.

Examples of exact numbers included counted numbers, defined units, and defined unit conversions. Many exact numbers are integers, but some are decimals. Here are specific examples.

Here we have to compute \($P_{9,2}$\) means

\(P_{1,5} & =\frac{7 !}{(7-5) !}\)

\(P_{9,2} & =\frac{9 !}{(9-2) !}\)

\(=\frac{9 !}{7 !}=\frac{9 \times 8 \times 7 !}{7 !}\)

\(P_{9,2} & =7 \times 8=72\)

Hence \($P_{9,2}$\) \(=72\)

Here we have to compute \($C_{7,5}$\) means

Combination \($(7,5)$\)

\($$\begin{aligned}& \left(\begin{array}{l}7 \\5\end{array}\right)=\frac{7 !}{(7-5) ! 5 !}=\frac{7 * 6 * 5 !}{2 ! * 5 !} \\& =\frac{7 * 6}{2 * 1}=21\end{aligned}$$\)

Hence

\($$C_{7,5}=21$$\)

Therefore, the Exact number of P9,2. is 72 and C7,5. is 21.

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The family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.

To compare the box of cereal price we need to know the price per ounce first. It can be written as

Price per ounce = price /  total ounces

From the text above, we know that :

large size price = $3.34

large size ounces = 15

family size price = $5.14

family size ounces = 24

By substituting the parameter we can get the price per ounce of large size and family size

Large size

Price per ounce = price /  total ounces

Price per ounce = 3.34 / 15

Price per ounce = $0.22 / ounce

Family size

Price per ounce = price /  total ounces

Price per ounce = 5.14 / 24

Price per ounce = $0.21 / ounce

Hence, the family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.

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Answer:

-1.25

Step-by-step explanation:

Equation: y = -1.25x - 3.

The total cost of leeks in the navy bean soup recipe will be $657.

To calculate the total cost of leeks in the navy bean soup recipe, we need to multiply the price per gram by the quantity required.

Price per gram: $3.65

Quantity required: 180 g

Total cost of leeks = Price per gram × Quantity required

Total cost of leeks = $3.65 × 180

Calculating the product:

Total cost of leeks = $657

Therefore, the total cost of leeks in the navy bean soup recipe will be $657.

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Let the number be n

\(\\ \sf\longmapsto 2(n+10)=60\)

\(\\ \sf\longmapsto n+10=60/2\)

\(\\ \sf\longmapsto n+10=30\)

\(\\ \sf\longmapsto n=30-10\)

\(\\ \sf\longmapsto n=20\)

Answer:

J) x = 6; slope is undefined

Step-by-step explanation:

Choice F is incorrect because the equation and slope. Choice G is incorrect because the slope. And, Choice H is incorrect because the equation and the slope.

The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Answer:

$19.00

Step-by-step explanation:

$95.00×20%=19.00

Answer:

ye

Step-by-step explanation:

Answer:

Substitute the given value for the  

✔ variable

.

Use the  

✔ order of operations

to simplify.

First, complete the  

✔ multiplication

inside the parentheses.

Next, complete the  

✔ addition

inside the parentheses.

Last, complete the subtraction.

The value is  

✔ 1

.

Step-by-step explanation:

Answer:Evaluate (3n + 2) – 10 when n = 3.

First, evaluate within the parentheses. Then evaluate exponents. Next multiply and divide from left to right. Then, add and subtract from left to right.

Evaluate the expression for the given value of the variable and use the drop-down menus to complete the statements.

Substitute the given value for the

✔ variable

.

Use the

✔ order of operations

to simplify.

First, complete the

✔ multiplication

inside the parentheses.

Next, complete the

✔ addition

inside the parentheses.

Last, complete the subtraction.

The value is

✔ 1

.

Step-by-step explanation:

Answer:

3x-14=2x+10

add 14 to both sides

3x-14+14=2x+10+14

3x=2x+24

subtract 2x from both sides

3x-2x=2x+24-2x

x=24

Plug x into the equations

3(24)-14=58

2(24)+10=58

they are the same angle

B=122

58-180=122

116-360=244

244/2=122

I hope this is good enough:

Answer:

X=24

Step-by-step:

3x-14=2x+10

add 14 to both sides

3x-14+14=2x+10+14

3x=2x+24

subtract 2x from both sides

3x-2x=2x+24-2x

=24 deg

what went wrong

the student did not cross multiply, and instead multiplied within each fraction.

rework the problem

mx24=8x15

m=120/24

m= 5

helpful strategy

draw a line from each value to the one you're multiplying it by

practice problems

12/z = 15/20

The number of hours that the team trians per week is 17 hours.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. The number of hours will be:

( 1 1/4 + 1/2 + 2 1/2) × 4

= 4.25 × 4

= 17 hours.

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Starstruck Inc. should report approximately $8,767 as the amount of interest expense on its income statement for the year ended December 31, 2021.

To calculate the amount of interest expense that Starstruck Inc. should report on its income statement for the year ended December 31, 2021, we need to determine the interest accrued for the 14-month period from November 1, 2020, to December 31, 2021.

The formula to calculate interest expense is:

Interest Expense = Principal * Interest Rate * Time

Principal = $300,000

Interest Rate = 8% per year

Since the note is an 8-month note, we need to calculate the interest for the 14-month period.

We can use the following formula to calculate the time in years:

Time = Number of days / Days in a year

Number of days from November 1, 2020 to December 31, 2021 = 426 days

Days in a year = 365 days

Time = 426 / 365

Now we can calculate the interest expense:

Interest Expense = $300,000 * 8% * (426 / 365)

Interest Expense ≈ $8,767.12

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