5. Order from least to greatest : 1/5, 10.5, 0.25, 5/10

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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Answer:

× = , . ℍ, - , .

It will take the acrobat 1/4 of a second to land safely on the net.

Velocity is a physical quantity that measures the rate at which an object moves in a particular direction. It is measured in terms of distance traveled per unit of time, usually expressed in terms of meters per second (m/s). Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is an important concept in physics and is used to understand the motion of objects and forces.
The quadratic equation representing the height h of the acrobat t seconds after the jump can be written as follows: \(h=-16t^2+4t+25\).
To find the time it takes for the acrobat to land safely on the net, we need to solve for t when h=5. We can do this by substituting 5 for h into the equation and solving for t:
\(h=-16t^2+4t+25\\\\5=-16t^2+4t+25\\\\=-16t^2+4t-20=0\\\\(4+\sqrt{64})/(-32)=t\\ \\t=(4+8)/(-32)\\\\t=1/4\)
Therefore, it will take the acrobat 1/4 of a second to land safely on the net.
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Answer:

x=70

Step-by-step explanation:

when added together, verticle angles equal 180 degrees.

2x-10+x+20=180

3x-10+20=180

3x-30=180

3x=210

x=70

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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The plane is most likely taking off.The two vectors provided, position and velocity, indicate that the plane is moving eastward with a velocity of 150 m/s and is ascending with a vertical velocity of 21m/s.

This indicates that the plane is taking off, and not just touching down, ascending, or in level flight.

The position and velocity vectors of the plane indicate that the plane is moving in an eastward direction with a velocity of 150 m/s, and is also ascending with a vertical velocity of 21 m/s. This indicates that the plane is taking off, and not just touching down, ascending, or in level flight. This means that the plane is most likely taking off from the origin and is in the process of gaining altitude.

the complete question is :

( figure attached below )

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

To get the mean of a number :add the numbers given and divide by the number of the numbers.ieThe total number of numbers above is 13.

\(\large\text{Hey there!}\)

\(\text{Your \boxed{mean} is known as your \boxed{\bf{average}}}\)

\(\text{The mean/average formula is: \boxed{\rm{\dfrac{sum\ of\ all\ numbers\ in\ the\ data\ plot}{total\ number(s)\ in\ the\ data\ plot} = mean}}}\)

\(\rm{Equation \rightarrow \dfrac{65 + 50 + 44 + 86 + 90 + 50 + 35 + 110 + 70 + 50 + 35 + 60 + 56}{13}}\)

\(\rm{\dfrac{65 + 50 + 44 + 86 + 90 + 50 + 35 + 110 + 70 + 50 + 35 + 60 + 56}{13}}\)

\(\rm{ = \dfrac{115 + 44 + 86 + 90 + 50 + 35 + 110 + 70 + 50 + 35 + 60 + 56}{13}}\)

\(\rm{= \dfrac{159 + 86 + 90 + 50 + 35 + 110 + 70 + 50 + 35 + 60 + 56}{13}}\)

\(\rm{= \dfrac{245 + 90 + 50 + 35 + 110 + 70 + 50 + 35 + 60 + 56}{13}\)

\(\rm{= \dfrac{335+ 50 + 35 + 110 + 70 + 50 + 35 + 60 + 56}{13}\)

\(\rm{= \dfrac{385 + 35 + 110 + 70 + 50 + 35 + 60 + 56}{13}\)

\(\rm{= \dfrac{420 + 110 + 70 + 50 + 35 + 60 + 56}{13}\)

\(\rm{= \dfrac{530+ 70 + 50 + 35 + 60 + 56}{13}\)

\(\rm{= \dfrac{600 + 50 + 35 + 60 + 56}{13}\)
\(\rm{= \dfrac{650 + 35 + 60 + 56}{13}\)

\(\rm{= \dfrac{685 + 60 + 56}{13}\)

\(\rm{= \dfrac{745 + 56}{13}\)

\(\rm{= \dfrac{801}{13}}\)

\(\rm{= 61.6154}\)

\(\rm{\approx 62}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\underline{\underline{\frak{61.6154}}}}\ \huge\boxed{\approx \frak{62}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

d. x = 7

Step-by-step explanation:

\(\frac{32}{8} = \frac{28}{x}\)

Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":

8 * 28 = 224

32 * x = 32x

\(32x = 224\)

Divide both sides by 32:

\(\frac{32}{32} = \frac{224}{32}\)

[x = 7]

Answer: A transformation of a function such as y = f(x) is a way to change the appearance of its graph by applying certain rules to it. In this case, the graph of function g is a translation right 5 units and up 1 unit of the graph of f.

To find the equation of the transformed function g, we can take the equation of the parent function, which is y = f(x) = x^2 and apply the translation rules (right 5 units and up 1 unit) to it.

The translation right 5 units means that the x-coordinate of each point on the graph of f is increased by 5 units. So this can be written as x = x+5

The translation up 1 unit means that the y-coordinate of each point on the graph of f is increased by 1 units. So this can be written as y = y+1

Substituting x = x+5 and y = y+1 in the equation of the parent function y = x^2 gives the equation of g in the form:

y = (x+5)^2 + 1

So the equation of g is y = (x+5)^2 +1

This equation is a parabola with a vertex that

Step-by-step explanation:

1AA = 426

What an odd class...

Answer:

426 in decimal.

Step-by-step explanation:

Step 1) Count the digits in 1AA, which in this case is 3 digits, and convert each digit to Hex.

Step 2) Starting from the last number in Step 1, multiply the first number with 1, the second number with 16, and the third number with 256.

Step 3) Add up all the numbers you got in Step 2 to get the answer.

Following the instructions above, your math should look like this:

10 x 1 = 10

10 x 16 = 160

1 x 256 = 256

10 + 160 + 256 = 426

Thus, we got the following answer:

1AA = 426

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer: 1085

Step-by-step explanation:

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

The missing value is 5.

Step-by-step explanation:

Since we already have x-value for the equation. What we need to do is to substitute the value of x in the equation.

Substitution

\(5x - 2y = 30\)

Then we substitute x = 8 in the equation.

\(5(8) - 2y = 30 \\ 40 - 2y = 30 \\ 40 - 30 = 2y \\ 10 = 2y \\ \frac{10}{2} = y \\ 5 = y\)

Answer Check

It is better to check the answer before jumping to the conclusion. We can check if the answer is right by substituting both terms in the equation. If the equation is true then the answer is correct. If the equation is false then one of the term is incorrect.

\(5x - 2y = 30\)

Substitute x = 8 and y = 5 in the equation.

\(5(8) - 2(5) = 30 \\ 40 - 10 = 30 \\ 30 = 30\)

The equation is true for (8,5)

Therefore, the missing value is 5.

Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

Given: y + 3 ≥ 2 and y + 3 < 6

To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:

y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:

2 ≤ y+3 and y + 3 < 6

Combine the two:

2 ≤ y+3 < 6

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Answer:

Yes

Step-by-step explanation:

The octopus chose the rectangles 68% of the time. From this observation you can tell that the octopus has learned there is food under the rectangular shape. Its cognitive abilities are less than a human's, but they are able to discern a rectangle from a circle with success.

Good luck ^^

Answer:

(-2, -1.5)

Step-by-step explanation:

hope this helps!

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

Answer:

\(\sqrt 2\)

Step-by-step explanation:

\(f(x) = 1-x\\\\|f(i)| = |1-i| = \sqrt{1^2 +1^2 } =\sqrt 2\)

Answer:

Quadratic model

Step-by-step explanation:

Given the data :

(0.1). (1, - 2), (2, - 3), (3,-2), (4.1)

The above data point when plotted using technology gives a quadratic model with the equation : x² - 4x + 1

With the quadratic regression model for the data above, we obtain a correlation Coefficient of 1 ; which means a perfect relationship exists between the x and y variables.

Answer:

-13/2

or

-6.5

Step-by-step explanation:

yeah-ya.......... right?

Answer:

I can only guess that your answer is 32/1083.

Step-by-step explanation:

Answer:

-0.49122807017 if you round it, it would be -0.50

your welcome :)

The perimeter of the rectangular bedroom is 126 feet.

To find the perimeter of the rectangular bedroom, we need to add up the lengths of all four sides.

The distance between the points (14, 22) and (14, -10) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (14, -10) and (-17, -10) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

The distance between the points (-17, -10) and (-17, 22) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (-17, 22) and (14, 22) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

Therefore, the perimeter of the rectangular bedroom is;

P = 32 + 31 + 32 + 31

P = 126 feet.

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The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.

This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.

For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.

This question is using the percentage decrease theory. According to this theory,

you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.

Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).

Original - Current = Change

120,000 - 3200 = 116,800

Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)

Change / Original = Percentage Change

116,800 / 120,000 = 97%

Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)

Percentage Change x Original = Estimated Original

97% x 120,000 = 116,400

Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

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Answer:

0.443 hours

Step-by-step explanation:

time = total distance / mph

time = 50 / 112.9094

time ≈ 0.443 hours

Answer:

0.443 hours

Explanation:

Given following:

Formula:

\(\sf time \ taken = \dfrac{distance}{speed}\)

Substitute values to find time taken:

\(\sf \rightarrow time = \dfrac{50}{112.9094 }\)

evaluate

\(\sf \rightarrow time = 0.4428329262\)

rounded to nearest thousandth

\(\sf \rightarrow time = 0.443\)