i need help with this algebra

Answer: As we know that the formula of outlier is

IQR = Q3 - Q1

= 52 - 32

= 20

52 + 1.5(20) = 82...

so anything above 82 is an outlier

now

32 - 1.5(20) = 2.

..anything below 2 is an outlier

so...the 83 is outlier

so correct option is D

hope it helps

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

The correct answer is option 3 i.e. At the 0.05 level of significance, the data provides sufficient evidence to conclude that the difference between the averages is real.

What is a two-sample test?

A two-sample test, also known as a two-sample hypothesis test, is a statistical test used to compare the means of two different groups. The test determines whether there is a significant difference between the means of two populations or groups based on the samples drawn from each group. The test is typically used when the samples are independent and the data is continuous. The goal of the test is to determine whether the observed difference between the two sample means is statistically significant or whether it is simply due to chance variation.

To perform an independent two-sample test, we need to formulate our null and alternative hypotheses:

Null hypothesis: The mean hours of pay for freshman at public universities is equal to the mean hours of pay for freshman at private universities.

Alternative hypothesis: The mean hours of pay for freshman at public universities is not equal to the mean hours of pay for freshman at private universities.

We can use a two-sample t-test to compare the means of the two groups, assuming unequal variances since the sample sizes and standard deviations are different.

Using a statistical software or calculator, we can find the test statistic and p-value:

Test statistic: t = -9.767

p-value: < 0.001

Since the p-value is less than the level of significance (0.05), we reject the null hypothesis and conclude that the mean hours of pay for freshman at public universities is significantly different from the mean hours of pay for freshman at private universities.

Therefore, the answer is: At the 0.05 level of significance, the data provides sufficient evidence to conclude that the difference between the averages is real.

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Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

The solution of the expression is x=0 and it is the only solution that is an integer.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that evaluates to a numerical value or an algebraic expression.

To do this, we need to pick a range of x values and substitute them into each equation to find the corresponding y values.

Next, we need to find the points of intersection between the two curves. These are the x values where the two curves cross each other and have the same y value. To find these points, we will set the two equations equal to each other and solve for x:

=> x=5x−x³

Expanding this equation, we get

=> 4x³+x=0.

Factoring this equation, we get

=> x(4x²+1)=0.

This gives us two solutions, x=0 and x=±i√(1/4), where i is the imaginary unit. Since x can only take on real values, x=0 is the only solution that is an integer.

Complete Question:

Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s), and evaluating them. Place your numerical answer for the area of the region in the box. Leave your answer in exact form.

y = x,

y = 5x−x³

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Hello !

Answer:

\( \boxed{h = 6}\)

Step-by-step explanation:

He has grown :

We also know that in total, he has grown 11 vegetables.

We will have to solve an equation !

\(h + 2h + 5 = 11\)

\( \iff3h + 5 = 11\)

We want to isolate h.

\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)

The value of h is 2.

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The total area of the path is 296 square feet, and the value of x is,

⇒ 64.2 feet.

Now, We know that;

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

Based on the screenshot provided, the rectangular vegetable garden has dimensions of (x+2) feet by (x+10) feet, and there is a stone path around the garden that is 3 feet wide on all sides.

To find the value of x, we need to set up an equation using the information given.

Hence, The total area of the garden and the path is equal to the area of the outer rectangle minus the area of the inner rectangle, which is:

(x+2+2) × (x+10+2) = (x+2) × (x+10) + 296

Simplifying and solving for x, we get:

x² + 16x + 48 = x² + 12x + 20 + 296

4x = 268

x = 67

Therefore, the value of x is, 67 feet.

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Answer:

3.65102725271

Step-by-step explanation:

Answer:

10 rows with 6 passengers per row

Step-by-step explanation:

Let x be the number of rows and y the number of passengers per row.

Then we can interpret the story as the following two equations:

xy=60

(x+2)(y-1)=60

Solving these two equations:

y=60/x

(x+2)(60/x-1)=60     (substitute y)

60 - x + 120/x - 2 = 60 (multiply by -x)

x² + 2x - 120 = 0     (factor)

(x-10)(x+12) = 0

x = 10

y = 60/10 = 6

and indeed 10 * 6 = 60 and also 12 * 5 = 60

Step-by-step explanation:

2,300×3÷7=985.71 The amount of money saved

2300×1÷10=230the amount of entertainment

985.71+230=1215.71 total

1215.71÷2300=0.5285 Entertainment money + reserve money ÷ total money

The income that he plan to spend each month on these two items together is 0.5285.

A fraction represents a part of a number or any number of equal parts.

Given; Travis's income is $2300 a month, and he plans to budget 3/7 of his income for savings and 1/10 of his income for entertainment.

We need to find the income that he plan to spend each month on these two items together.

The amount of money saved;

2,300×3÷7 = 985.71

The amount of entertainment;

2300×1÷10=230

The total 985.71 + 230 = 1215.71

Now, Entertainment money + reserve money ÷ total money

1215.71÷2300 = 0.5285

The income that he plan to spend each month on these two items together is 0.5285.

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The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Answer:  (a + 2)(a - 2)  which is the first answer choice

=========================================================

Explanation:

Use the difference of squares factoring rule which is x^2 - y^2 = (x+y)(x-y)

In this case, x = a and y = 2

x^2 - y^2 = (x+y)(x-y)

a^2 - 2^2 = (a+2)(a-2)

a^2 - 4 = (a+2)(a-2)

Answer:

Find cost difference between the two days

151 - 115  = 36

we can assume it costs 18$ a day

To find registration fee

five days = 18 x 5 = 90$

115 - 90 = 25

The registration fee is 25$

The formula is 18x + 25. Where x is the amount of days the dog is boarded

1. False

2. True

3. True

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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Answer:

13.75 dollars

Step-by-step explanation:

n=4

3n+7/n =3(4) + 7/4

=12 + 1.75

=$13.75

Answer: A) 4.75

Step-by-step explanation:

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:

Part A: The function is nonlinear.

Part B: We determined the function to be nonlinear because the corresponding y-values do not change by a constant rate as the x-values increase, indicating a lack of a linear relationship.

Part A: The given function is nonlinear.

Part B: To determine whether the function is linear or nonlinear, we need to examine the relationship between the x-values and the corresponding y-values in the table.

In a linear function, there is a constant rate of change between the x and y values.

This means that for every increase in x by a fixed amount, the corresponding y value will change by a constant amount.

If we look at the x-values in the given table (2, 3, 4), we can see that they are increasing by a fixed amount of 1 each time.

However, when we examine the corresponding y-values (20, 10, 40), we don't see a constant rate of change.

The y-values are not changing by the same amount for each increase in x.

For instance, when x increases from 2 to 3, the y-value decreases from 20 to 10.

This indicates a non-linear relationship as the change in y is not constant for each unit increase in x.

Additionally, when x increases from 3 to 4, the y-value jumps significantly from 10 to 40, which further confirms the nonlinear nature of the function.

Based on these observations, we can conclude that the given function is nonlinear.

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The logic diagram, characteristic table, and equation of the SR flip-flip are shown. (Refer to the images attached below)

A gated set-reset flip-flop is an SR flip-flop.

The flip-flop is controlled by the S and R inputs when the clock pulse changes from LOW to HIGH.

Till the clock pulse is on a rising edge, the flip-flop won't alter.

There is a chance that the outputs will be HIGH or LOW when S and R are both HIGH at the same time.

A global flip flop with two inputs, the JK flip flop has the letters "J" and "K."

While J and K are not the reduced abbreviated letters for Set and Reset in the SR flip flop, S and R are.

SR flip-flop equation: Qn+1 = S + QnR'

(Refer to the images attached below)

Therefore, the logic diagram, characteristic table, and equation of the SR flip-flip are shown. (Refer to the images attached below)

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Answer:

80%

Step-by-step explanation:

24/30 = x/100

100/30= 3 1/3

24 x 3 1/3= 80

The inequality takes the form

(a).

As we increase m, the dashed line becomes more and more vertical, meaning the orange region shaded below it becomes more to the right.

(b).

The variable b is the y-intercept of the dashed line. As we increase b, the point of intersection moves up, meaning the shaded region also moves up but the direction of shading is left unchanged.

(2).

If we change the sign of the inequality, the shaded side of the dashed line changes sides.

The "<" shades the region to the right of the line.

(3).

The ">" sign shades the region to the left.

The number of sides of the polygon, is 5

The perimeter of an object is the outer boundary length, is calculated by adding all its sides.

Given that, the perimeter of a different regular polygon is 75b - 20 the length of one of its sides is 15b-4 we need to find the number of sides of the polygon,

Let the number of sides of the polygon be x,

Therefore,

(15b-4)x = 75b-20

x = 75b-20 / 15b-4

x = 5(15b-4) / 15b-4

x = 5

Hence, the number of sides of the polygon, is 5

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The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

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An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

$1.47

Step-by-step explanation:

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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Answer:

The better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.

Step-by-step explanation:

To find the cost per unit in each case and then state which is the better buy, the following calculations must be performed:

6kg of potatoes for $ 2.45:

2.45 / 6 = 0.408

15 kg of potatoes for $ 5.9:

5.90 / 15 = 0.393

10 kg of potatoes for $ 3.92:

3.92 / 10 = 0.392

Thus, the better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.

Answer:

32/5

Step-by-step explanation:

Convert the mixed number 6 2/5 into an improper fraction by multiplying the denominator by the whole number and then add the numerator.

Ex: 6 2/5 = 5 x 6 +3