When studying the life-span (measured in years) of adults in comparison to the number of days they spend outdoors, what would be a reasonable value of the range (their life-span)?
A.) -2
B.) 5
C.) 75
D.) 150

Answer:

(1) N or n = 20

(2)  = 43.4

(3) σ = 9.78 and s = 10.04.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:answer is 35

Answer:

The discount is $3.40. The total price is $13.60.

Step-by-step explanation:

The pair of triangles is similar with the ASA similarity condition

The figure that completes the question is added as an attachment

From the figure, we have the following properties:

This means that the pair of triangles is similar with the ASA similarity condition.

Since the triangles share the same point

So, the transformation to carry the triangles onto one another is dilation

Hence, the pair of triangles is similar with the ASA similarity condition

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The simulation disproves the hypothesis that 1 out of 10 players are arbitrarily chosen to be spies by showing that being selected as a spy in 5 out of 7 games is improbable.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability is a metric for determining how likely an event is to occur. It gauges the event's degree of certainty. The probability formula is presented as follows:

P(E) = Number of Favorable Outcomes/Number of Total Outcomes.

The frequency is o when the number of agnes chosen to be soy is 5, as shown in the table.

The simulation demonstrates that getting chosen as a spy in 5 out of 7 games is implausible, refuting the claim that 1 out of 10 players is randomly chosen to be a spy.

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Answer:

\( - \frac{64 }{27} \)

Answer:

-64/27

Step-by-step explanation:

just break it down like;

-4/3×-4/3×-4/3;

solve it arithmetically amd you get your answer.

I hope it helps and dont forget to follow me.

The maximum possible error is 2/3.

The Maclaurin series for cosine function is given by:

\(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using the first three nonzero terms, we get:

\(cos(x) ≈ 1 - x^2/2! + x^4/4!\)

To estimate the error, we can use the Taylor remainder formula:

\(Rn(x) = f(n+1)(c) * (x-a)^(n+1) / (n+1)!\)

where f(n+1)(c) is the (n+1)th derivative of f evaluated at some value c between a and x.

In this case, we have:

f(x) = cos(x)

a = 0

n = 2

x = 2

To find an upper bound for the error, we need to find the maximum value of the absolute value of the third derivative of cosine function over the interval [0,2]. Since the third derivative of cosine is -cos(x), the maximum value of its absolute value is 1.

Therefore, we have:

\(|R2(2)| ≤ 1 * (2-0)^(2+1) / (2+1)!\)

≤ 4/3!

≤ 2/3

So the maximum possible error is 2/3.

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There are two main methods to determine if it is a rainy day at a given location: measuring rainfall using weather instruments, and using radar and satellite imagery.

Measuring rainfall using weather instruments involves setting up a rain gauge, an instrument that measures the amount of rainfall in a specific location. These instruments measure the amount of rainfall at a given time and provide more accurate readings than radar or satellite imagery.

Using radar and satellite imagery is another way to measure if it is a rainy day at a given location. Radar and satellite imagery show precipitation patterns, cloud types, and the movement of the clouds. These images can help identify where it is raining and how much rainfall is expected in the near future.

Both methods are useful for predicting rain or other types of precipitation. Rainfall measurements from weather instruments provide more accurate data, while radar and satellite imagery offer a bigger picture of the overall weather patterns in a given area.

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Answer:

Y=-2, 0

Step-by-step explanation:

EDG 2020

Answer:

1. y= -2

2. 0

Step-by-step explanation:

Correct on Edg 2020

The range of the quadratic function is {y |0 ≤ y < 9}

The range of a function is the set of output values of the graph. This in other words mean the range of a function is the set of y values of the graph.

From the question, we have the following parameters:

Write out the vertex

So, we have

Vertex = (0, 0)

Remove the x value

y = 0

From the question, we have

The parabola opens upward

This means that the vertex is a minimum

So, the range is

y ≥ 0

Rewrite as

0 ≤ y

Recall that:

Closed circle point = (-2, 4)

Open circle point = (3, 9)

Remove the x values

Closed circle point = 4

Open circle point = 9

Remove the smaller y value

Open circle point = 9

This means that the highest value of y is at open circle point = 9

This is represented as

y < 9

So, we have

0 ≤ y and y < 9

Combine both

0 ≤ y < 9

Rewrite properly as

{y |0 ≤ y < 9}

Hence, the range of the quadratic function is {y |0 ≤ y < 9}

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{y |0 ≤ y < 9}

The person above need the shine, im just making it simple

Answer:

-4. my answers need to be 20 characters+ soooo

The Volume generated when the region between the curves is rotated around the y - axis is 1216500335.46

Volume of the curves:

The volume of the solid formed by revolving the region bounded by the curve x = f(y) and the y-axis between y = c and y = d about the y-axis is given by

V = π ∫dc [f(y)]2dy.

The cross-section perpendicular to the axis of revolution has the form of a disk of radius R = f(y).

Given,

y = x³

Here we have to find the volume along to the y axis.

With limit as y = 0 and y = 27.

When we apply the values it can be written as,

=>\(V=\pi \int\limits^0_{27} {(x^3)^2} \, dx\)

\(\implies V=\pi \int\limits^0_{27} {(x^6)} \, dx\)

Apply the limits then we get,

\(\implies V = \pi [0^6 - (27)^6]\)

=> V = π [0 - 387420489]

=> V =   π x 387420489

=> V = 1216500335.46

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Answer:

14.6

Step-by-step explanation:

In the question, we are told that:

Yivgeny's gymnastics scores were 1.5, 1.7, 5.5, and 9.1.

In the question, we are also told that to calculate his total score, we add his top two scores.

Yivgeny's top two gymnastics scores are:

5.5 and 9.1.

Hence, his total scores = 5.5 + 9.1

= 14.6

Yivgeny's total scores = 14.7

If Sabina and the pole are proportional, then the pole’s shadow will be 35/4 feet tall.

Since Sabrina is 4 feet tall and casts a 3.5-foot shadow, we can set up a proportion comparing the heights and shadow lengths: Sabrina's height (4 feet) / her shadow (3.5 feet) = pole's height (10 feet) / pole's shadow (x).

This proportion can be represented as: 4/3.5 = 10/x. To solve for x (the length of the pole's shadow), we can cross-multiply:

4 * x = 3.5 * 10

4x = 35

Now, divide both sides by 4:

x = 35/4

So, the pole's shadow will be 35/4 feet long when both Sabrina and the pole are proportional. This fraction represents the pole's shadow length in relation to the given heights and shadow lengths.

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Answer:

It is 6.38 units!

Step-by-step explanation:

I took the test and it was correct.

The measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right-angle triangle given:

Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units,

After drawing the triangle:

Applying the tan ratio in the right-angle triangle:

tan50 = EF/DE

tan50 = 7.6/DE

DE = 7.6/tan50

DE = 6.377 ≈ 6.38 units

Thus, the measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

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Answer:

120x

Have a great day and night!!!!

Answer:

√25

= √( 5 x 5 )

= 5

√25 = 5

5 is an rational number, not an irrational number.

                 \(\rule{50}{1}\large\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}\)

              Jillian said, "√25 is irrational because it's a square root!" Why is

she incorrect?

    \(\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}\)

    First let's see if we can simplify √25.

     We can, by using either our calculator or our brains.

       Anyway, √25=5 (5×5=25)

Now, let's take a look at what irrational numbers are.

            \(\dagger\) Irrational numbers. This set includes numbers with an infinite

           number of digits after the decimal point. Irrational numbers

           cannot be expressed as fractions (p/q form)

Can \(\LARGE\textbf{5}\) be expressed as a fraction? Sure!

This is how it's done:-

\(\Large\text{$\displaystyle\frac{5}{1}$}\)

As you can see, 5 is not irrational.

            \(\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}\)

Answer: the common number is 8 for 151 and 152

Step-by-step explanation: hope this helps

Answer:

$1584

Step-by-step explanation:

2.2% of 72,000 is 1584, therefore that is the rent

Answer:

Step-by-step explanation:

a)

median= 25

interquartile range= 19

b)

On average The Braineys was the slowest at completing the test because they have a median time of 32 minutes whereas The Cleverites have a median time of 25 minutes.

Answers in bold

\(\begin{array}{|c|c|} \cline{1-2}\text{number of rolls} & \text{number of people}\\\cline{1-2}1 & \boldsymbol{0.5}\\\cline{1-2}6 &3\\\cline{1-2}10 & \boldsymbol{5}\\\cline{1-2}16 & \boldsymbol{8}\\\cline{1-2}25 & \boldsymbol{12.5}\\\cline{1-2}n & \boldsymbol{0.5n}\\\cline{1-2}\end{array}\)

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

Explanation:

The given table looks like this

\(\begin{array}{|c|c|} \cline{1-2}\text{number of rolls} & \text{number of people}\\\cline{1-2}1 & \\\cline{1-2}6 & 3\\\cline{1-2}10 & \\\cline{1-2}16 & \\\cline{1-2}25 & \\\cline{1-2}n & \\\cline{1-2}\end{array}\)

Focus on the row that has two values in it.

x = number of rolls = 6

y = number of people 3

k = constant of proportionality

y = kx

k = y/x = 3/6 = 0.5

The constant of proportionality is k = 0.5 which gives the direct variation equation of y = 0.5x

If x = 1, then y = 0.5*1 = 0.5 meaning that 1 roll feeds 0.5 people. This means we need 2 rolls to feed one person.

If x = 10, then y = 0.5x = 0.5*10 = 5 people can be fed with those 10 rolls. This process is continued until we finish filling out the table.

Answer:

30 + 4 + .7 + .05

Step-by-step explanation:

You have to write them like that just like if you were to do 245 in expanded form it would be 200 + 40 + 5! Hope this helps!

The length of the shadow casted by the building is 31.06 meters. The solution has been obtained by using trigonometry.

What is trigonometry?

Trigonometry is a discipline of mathematics that deals with the study of sides, angles, and relationships in triangles.

We are given that at a certain time of day, the angle of elevation of the sun is 44 degrees. The height of the building is given as 30 meters.

Using trigonometry,

We know that tan theta = opposite side/ adjacent side

So,

⇒tan 44° = 30/x

⇒0.9657 = 30/x

⇒x = 31.06

Hence, the length of the shadow casted by the building is 31.06 meters.

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The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

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Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

Answer:

175mm^3 is the volume.

Based on the given information, we can conclude that tuition at Penn State has increased more rapidly than inflation.

The price index measures the average change in prices of a basket of goods and services over time. In this case, the price index increased from 207.34 in 2007 to 226 in 2012, indicating an overall inflation rate of approximately 9% over that period. On the other hand, tuition at Penn State increased from $6,142 to $7,562, representing an increase of approximately 23%.

When comparing the rates of increase, we can see that tuition has outpaced inflation. This implies that the cost of education at Penn State has been rising more rapidly than the general increase in prices for goods and services. It suggests that factors specific to the education industry, such as rising costs of resources, facilities, and personnel, have contributed to the higher tuition rates.

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The complete question is:

Assume tuition at Penn State cost $6,142 (per semester) in 2007 and $7,562 in 2012. If the price index was 207.34 in 2007 and 226 in 2012, then we could say:

Answer:

A pi bond restricts rotation about the bond axis while a sigma bond allows almost free rotation.

Answer:

The equation of the parabola is;

(y-3)^2 = 20(x-2)

Step-by-step explanation:

Here, we want to find the equation of the parabola given the focus and the vertex of the said parabola

Mathematically, we can have the equation represented as;

(y-k)^2 = 4a(x-h)

As we can see that the focus and the vertex lie on the same horizontal line of y = 3

In this case, a = 7-2 = 5

The coordinates of the vertex is (h,k) = (2,3) in this case

where h = 2 and k = 3

So the equation of the parabola will be;

(y- 3)^2 = 4(5)(x-2)

(y-3)^2 = 20(x-2)