If f=(x) is an exponential function where f(1)=8 and f(10.5)=72 then find the value of f(3.5)

Answers

Answer 1

Answer: We know that the function f(x) is an exponential function. An exponential function can be written in the form:

f(x) = a * b^x

where:

a = the initial value (when x = 0)

b = the base of the exponential function

x = the independent variable

To find the values of a and b, we can use the given information:

f(1) = 8, so:

8 = a * b^1

8 = a * b

f(10.5) = 72, so:

72 = a * b^10.5

We can now use the first equation to solve for a:

a = 8/b

Substituting this value into the second equation, we get:

72 = (8/b) * b^10.5

Simplifying:

72 = 8 * b^9.5

9 = b^9.5

b = 9^(1/9.5)

b = 1.4608 (approx.)

Substituting the values of a and b into the exponential function, we get:

f(x) = 8 * 1.4608^x

Now we can find f(3.5):

f(3.5) = 8 * 1.4608^3.5

f(3.5) = 8 * 6.2797

f(3.5) = 50.2376 (approx.)

Therefore, f(3.5) is approximately equal to 50.24.

Step-by-step explanation:


Related Questions

A man borrowed ​$ 3700 from a bank for 6 months. A friend was cosigner of the
man​'s personal note. The bank collected 7 1/2% simple interest on the date of maturity.
​a) How much did the
man pay for the use of the​ money?
​b) Determine the amount
he repaid to the bank on the due date of the note.

Answers

a) To find out how much the man paid for the use of the money, we can use the simple interest formula:

I = Prt

Where:
I = interest
P = principal (the amount borrowed)
r = interest rate (as a decimal)
t = time (in years)

In this case, we have:
P = $3700
r = 7.5% = 0.075
t = 6 months = 0.5 years

Plugging in the values, we get:

I = $3700 x 0.075 x 0.5
I = $138.75

Therefore, the man paid $138.75 for the use of the money.

b) To determine the amount he repaid to the bank on the due date of the note, we need to add the interest to the principal:

Amount repaid = Principal + Interest
Amount repaid = $3700 + $138.75
Amount repaid = $3838.75

Therefore, the man repaid $3838.75 to the bank on the due date of the note.

(8x+17), (12x-39) find m

Answers

The measure of the angle M is 129 degrees

How to determine the value

It is important to note that the properties of a parallelogram are;

Opposite sides are equalOpposite angles are congruentSame-Side interior angles (consecutive angles) are supplementary, that is, 180 degreesEach diagonal of a parallelogram divides it into two congruent trianglesThe diagonals of a parallelogram bisect each other

Then, we have that;

m< M = m < K

substitute the values

12x - 39 = 8x + 17

collect the like terms, we have;

12x - 8x = 17 + 39

Add the collected like terms, we get;

4x = 56

divide both sides by the coefficient of 4, we get;

4x/4 = 56/4

Divide the values

14

Then, m < M = 12(14) -39 = 129 degrees

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The complete question:

In the parallelogram, Find mZN: K (8x + 17)9 (12x - 39)8 01;0 - Lx'An M Ax+8x +17 + iax -3 = 360 3ax-33 = H0 +3 42 20 22X 7 x=17.30

A student received a standardized score of -.63 on a class assignment. Which statement best describes the student’s score in relation to the rest of the class?

Answers

A standardized score of -.63 means that the student's score is .63 standard deviations below the mean score of the class.

In a normal distribution, approximately 50% of the scores fall below the mean and 50% fall above the mean. Since the student's score is below the mean, we can say that the student scored lower than the average student in the class.

However, we cannot make any conclusions about how the student's score compares to the rest of the class without knowing more information about the distribution of scores. If the distribution is approximately normal, we can say that the student scored lower than approximately 73% of the class (since .63 standard deviations below the mean corresponds to approximately the 26th percentile of a normal distribution).

Therefore, the best statement we can make about the student's score in relation to the rest of the class is that the student scored lower than the average student in the class and lower than approximately 73% of the class if the distribution is approximately normal.

Two similar triangles have a scale factor of 2/3. The area of the larger triangle is 27 what is the area of the smaller triangle

Answers

The area of the smaller triangle is 12 square units

How to determine the area of the smaller triangle

If the scale factor between two similar triangles is 2/3

It means that every length of the smaller triangle is 2/3 the length of the corresponding side of the larger triangle.

So, the ratio of their areas is the square of the scale factor

This is represented as

(area of smaller triangle) / (area of larger triangle) = (2/3)^2 = 4/9

We are given that the area of the larger triangle is 27

So, we have

Area of smaller triangle/27 = 4/9

Multiplying both sides by 27, we get:

Area of smaller triangle = (4/9) * 27

Evaluate

Area of smaller triangle = 12

Hence, the area of the smaller triangle is 12.

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A single serving of a cereal breakfast bar contains 18 grams of carbohydrates. This is 6%
of the daily recommended allowance for a 2000-calorie diet. How many grams of
carbohydrates are recommended each day for a person on a 2000-calorie diet?
10. A concert was recently held at the civic auditorium. All 5000 tickets were sold.
a. 25% of the tickets were reserved seats that sold for $45 each. What was the total
amount in sales for the $45 tickets?
b. 15% of the tickets were reserved seats that sold for $35 each. What was the total
amount in sales for the $35 tickets?
c. The remainder of the tickets were general admission. How many general admission
tickets were sold?
d. If each general admission ticket sold for $20, what was the total amount in sales for
the general admission tickets?
e. What was the total amount for all ticket sales?

Answers

Answer:

Step-by-step explanation:

a. 25% of 5000 tickets = 0.25 x 5000 = 1250 tickets

Total sales of $45 tickets = 1250 x $45 = $56,250

b. 15% of 5000 tickets = 0.15 x 5000 = 750 tickets

Total sales of $35 tickets = 750 x $35 = $26,250

c. General admission tickets = Total tickets - Reserved tickets

= 5000 - 1250 - 750

= 3000 tickets

d. Total sales for general admission tickets = Number of general admission tickets x Price per ticket

= 3000 x $20

= $60,000

e. Total sales = Sales of $45 tickets + Sales of $35 tickets + Sales of general admission tickets

= $56,250 + $26,250 + $60,000

= $142,500

Using the growth accounting equation, if the growth rate of output is 5 percent, the growth rate of labor is 4 percent, the growth rate of technology is 3
percent, and a = 0.8, then the growth rate of capital can be estimated to be:
Multiple Choice
O
1.2 percent.
1.5 percent.
2.0 percent.
1.0 percent.

Answers

The answer is (B) 1.5 percent.

You can find the growth accounting equation by using:

Growth rate of output equals Technology growth rate plus a* Capital growth rate plus (1-a*Labor growth rate)

Inputting the values provided yields:

5% equals 3% plus (0.8 * Capital Growth Rate) plus (0.2 * 4%).

When we simplify the equation, we obtain:

Capital growth rate equals (5% - 3% - 0.2%) / 0.8, or 1.5%

As a result, the capital growth rate is predicted to be 1.5%.

(B) 1.5 percent is the right answer.

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Add one number to each column of the table so that it shows a function. Do not repeat an ordered pair that is in the table.


Click on the numbers you want to select and drag them into the table.


x y


6 6


3 8


9 12


7 8

x y
Find x,y value
Given numbers- 3,6,7,8,9,12

Answers

The values of x and y such that the table represents a function are given as follows:

x = 8, y = 7.

When does a relation represents a function?

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

The input-output pairs for the function in this problem are given as follows:

An input of 6 is mapped to an output of 6.An input of 3 is mapped to an output of 8.An input of 9 is mapped to an output of 12.An input of 7 is mapped to an output of 8.

Hence the x-value can only by 8 or 12, and we choose y = 8, while the y-value is free, hence we choose y = 7.

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Jamie bought a shirt and a jacket for a total price of $164. The cost of the jacket was $17 more than twice the price of the shirt

Answers

The price οf the jacket was $115.

Let's start by defining sοme variables tο represent the unknοwn quantities:

Let x be the price οf the shirt

Let y be the price οf the jacket

Frοm the prοblem statement, we knοw that:

y = 2x + 17 (the cοst οf the jacket was $17 mοre than twice the price οf the shirt)

x + y = 164 (the tοtal cοst οf the shirt and jacket was $164)

We can use these twο equatiοns tο sοlve fοr the values οf x and y. One way tο dο this is tο substitute the expressiοn fοr y frοm the first equatiοn intο the secοnd equatiοn, and then sοlve fοr x:

x + (2x + 17) = 164

3x + 17 = 164

3x = 147

x = 49

Nοw that we knοw the price οf the shirt is $49, we can use the first equatiοn tο sοlve fοr the price οf the jacket:

y = 2x + 17

y = 2(49) + 17

y = 115

Therefοre, the price οf the jacket was $115.

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An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times the commercial is run on TV in each city and the number of car sales (in hundreds). Find the Pearson correlation coefficient r for the data given in the table. Round any intermediate calculations to no less than six decimal places, and round your final answer to three decimal places.

Answers

Therefore , the solution of the given problem of data plot comes out to be value (r) is roughly 0.975.

Data plot: What is it?

The most typical way to display data in a graph is to demonstrate how two additional factors relate to one another. Digital and hand-drawn sketches are both acceptable. From the beginning position, move two or more pieces to the correct and three pieces up. The reference system must display the numerals for positions 2, 3, and 4. In your points, be very clear. The pinkish haze with the letter P stands in for the number 2.3.

Here,

We must compute several numbers in order to determine the Pearson correlation coefficient r for the information provided in the table.

Before anything else, we figure out the average and standard deviation of the amount of TV airings (x) and car sales (y):

mean(x) = (40 + 30 + 20 + 50 + 10) / 5 = 30

mean(y) = (30 + 20 + 10 + 40 + 20) / 5 = 24

These mean numbers allow us to determine the standard deviation:

=> SX = √ (( (40-30)² + (30-30)² + (20-30)² + (50-30)² + (10-30)²) / 4)

≈> 15.81

=> SY = √(( (30-24)²+ (20-24)² + (10-24)² + (40-24)² + (20-24)²) / 4)

≈> 8.16

Next, we determine x and y's covariance:

=> cov(x,y) =

=> [(40-30)(30-24) + (30-30)(20-24) + (20-30)(10-24) + (50-30)(40-24) + (10-30)(20-24)] / 4

≈>  125

Last but not least, we can figure out the Pearson association coefficient:

0.975 r = cov(x,y) / (s x * s y)

As a result, the table's data's Pearson correlation value (r) is roughly 0.975. This shows a significant positive correlation between the volume of car purchases and the frequency of the TV ad.

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Rae is saving for a new computer, so she's selling her old antivirus software program for $250. The
software originally cost $985, and she used it for 12 years.
What was the net asset value of Rae's antivirus software two years after her purchase?
O A. $722.50
OB. $755
OC. $825.75
OD. $862.50
OE. $890.75

Answers

Answer:

the net asset value of Rae's antivirus software two years after her purchase was $570.84, which is not one of the given options.

Step-by-step explanation:

The software was used for 12 years, and Rae is selling it now. So, it has been used for 12 - 2 = 10 years.

Annual depreciation = (cost - salvage value) / useful life = (985 - 0) / 12 = 82.08

Depreciation for 10 years = 82.08 x 10 = $820.80

Net asset value after 2 years = cost - accumulated depreciation = 985 - 82.08 x 2 = $820.84

However, Rae is selling the software for $250, so her net asset value is $820.84 - $250 = $570.84

Therefore, the net asset value of Rae's antivirus software two years after her purchase was $570.84, which is not one of the given options.

Find an equation for the graph.

Answers

The equation for the trigonometric graph is y = 2sin4x

What is a trigonometric graph?

A trigonometric graph is the graph of a trigonometric function.

Since we desire to find the equation of the graph, we then want to use the equation for the general sine graph.

y = AsinBx where

A = amplitude and B = 2π/T where T = period.

Now, A = (maximum - minimum)/2

From the graph,

maximum = 2 and minimum = -2

So, we now substitute the variables into the equation, thus

A = (maximum - minimum)/2

= [2 - (-2)]/2

= (2 + 2)/2

= 4/2

= 2

Also B = 2π/T

Now from the graph, T = π/2

So,  we substitute for B in the equation for B, thus

B = 2π/T

= 2π/(π/2)

= 2π × 2/π

= 4

We then substitute A and B into y, thus

y = AsinBx

= 2sin4x

So, y = 2sin4x

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80 pts! please correct answer

What is the end behavior of this radical function?
f(x)=4\sqrt{x-6 }

A.
As x approaches positive infinity, f(x) approaches positive infinity.
B.
As x approaches negative infinity, f(x) approaches positive infinity.
C.
As x approaches positive infinity, f(x) approaches negative infinity.
D.
As x approaches negative infinity, f(x) approaches negative infinity.

Answers

Answer:

The end behavior of the given radical function f(x) = 4√(x-6) as x approaches positive infinity is option A: As x approaches positive infinity, f(x) approaches positive infinity.

Step-by-step explanation:

This is because as x approaches positive infinity, the value inside the square root (x-6) also approaches positive infinity. As the square root of a positive number is also positive, f(x) approaches positive infinity.

We can also see this by using the concept of limits. As x approaches positive infinity, the limit of f(x) can be evaluated as:

lim f(x) = lim 4√(x-6)

x→∞ x→∞

= 4√(lim(x-6))

x→∞

Since the limit of (x-6) as x approaches positive infinity is positive infinity, we have:

lim f(x) = 4√(∞) = ∞

x→∞

Therefore, as x approaches positive infinity, f(x) approaches positive infinity.

Answer:

Step-by-step explanation:

The end behavior of the given radical function f(x) = 4√(x-6) as x approaches positive infinity is option A: As x approaches positive infinity, f(x) approaches positive infinity.

This is because as x approaches positive infinity, the value inside the square root (x-6) also approaches positive infinity.
As the square root of a positive number is also positive, f(x) approaches positive infinity.

We can also see this by using the concept of limits.
As x approaches positive infinity, the limit of f(x) can be evaluated as:

lim f(x) = lim 4√(x-6)x→∞ x→∞= 4√(lim(x-6))x→∞.

Since the limit of (x-6) as x approaches positive infinity is positive infinity, we have:

lim f(x) = 4√(∞) = ∞x→∞.

Therefore, as x approaches positive infinity, f(x) approaches positive infinity.

Question 11 (1 point)
Mary Ellen is making a table cloth for a client's dining room. She selected some pale-
yellow linen from a craft store and has it laid out on her work table to cut into the
correct shape. What tool is Mary Ellen MOST LIKELY going to use to cut the linen?
Scissors
Shears
A measuring tape
A Color Scheme Guide

Answers

Answer:

Mary Ellen is MOST LIKELY going to use shears to cut the linen.

Pls help !! Find the equation of a line parallel to that passes y= 4/3x+4 through the point (3,-7).

Answers

An equation of a line parallel to that passes y = 4/3x + 4 through the point (3, -7) include the following: A. y + 7 = 4/3(x - 3).

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

Since y = 4x/3 + 4, the slope is equal to 4/3.

At data point (3, -7) and a slope of 4/3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-7) = 4/3(x - 3)  

y + 7 = 4/3(x - 3)  

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10. In the diagram shown, AC is congruent to DC and ZA and ZD are both right angles. SS | RS 1. GIVEA ACANC ELL X-3 en 1. AC DC LA CALD are rt L's 2 LBCB Reflex Hue propert 344DBC LAB ALE HL Fungh D Prov​

Answers

Answer:

4Step-by-step explanation:

Joel bought a container of yogurt that held 8 cups of yogurt. He used a 0.25-cup serving of the
yogurt each day. When 7.25 cups of the yogurt remained, how many 0.25-cup servings had Joel
used from the container?

0.75
2
3
29

Answers

Answer:

3

Step-by-step explanation:

Amount used:

8 - 7.25 = 0.75

He used 0.75 cup

Each day he had 0.25 cup.

0.75/0.25 = 3

Answer: 3

Consider the graph of 5x² + 8x + 4y² - 4y = 70.

If the graph of 5x² + 8x + 4y - 4y = 70 is stretched horizontally by a factor of 3, the equation of the stretched graph will be

If the graph of 5x² + 8x + 4y² - 4y = 70 is stretched vertically by a factor of 7, the
equation of the stretched graph will be

Answers

To stretch the graph horizontally by a factor of 3, we need to multiply the x-coefficient by 1/3. Similarly, to stretch the graph vertically by a factor of 7, we need to multiply the y-coefficient by 1/7. Therefore:

Horizontally stretched graph: 5(1/3x)² + 8(1/3x) + 4y² - 4y = 70

Simplifying:

(5/9)x² + (8/3)x + 4y² - 4y = 70

Vertically stretched graph: 5x² + 8x + 4(1/7y)² - 4(1/7)y = 70

Simplifying:

5x² + 8x + (4/49)y² - (4/7)y = 70

Find the value of x.

Answers

Answer:

8

Step-by-step explanation:

line WL is a straight line intersecting line GZ at J so angles LJW is 180o

therefore

LJG + GJH + HJW = 180

9x + 90 + 18 = 180

9x = 180 - 90 - 18

9x = 72

x = 72/9 = 8

Please help me on this: 90 BRAINLY POINTS. Yuri bakes lemon bars in a pan shaped like a right rectangular prism. The volume of the pan is 150 cubic inches. The width of the pan is 7 1/2 inches, and its height is 2 inches.


What is the length of the pan?


Enter your answer in the box

Answers

Answer:

length of the pan is 10 inches

Step-by-step explanation:

Volume = length x width x height

V = lwh

l = (V) / (wh) = (150 in³) / (7.5 in)(2 in) = 10 in

What is the standard error σM for this sample? (rounded to the nearest tenth: e.g. 2.2)

Answers

To calculate the standard error σM for a sample, we can use the formula [tex]σM = s / \sqrt{n}[/tex], where s: sample standard deviation and n: sample size.

The formula for calculating the standard error, M, which indicates the standard deviation of the sampling distribution of the mean, is as follows:

[tex]σM = σ / \sqrt{n}[/tex]

where σ: population standard deviation and n: sample size.

If we don't know the population standard deviation, we estimate it using the sample standard deviation s. We use formula:

[tex]σM = s / \sqrt{n}[/tex]

We can apply the method above with the sample size n and the sample standard deviation s if we are given a sample and asked to determine the standard error M for this sample.

By adding up each value in the sample and dividing by the sample size, we can determine the sample mean x, from which we may compute the sample standard deviation. The sample variance is then determined by adding up the squared deviations between each value and the sample mean, then dividing the result by the sample size less one. Lastly, we calculate the sample standard deviation by taking the square root of the sample variance.

Once we have calculated the sample standard deviation s and the sample size n, we can plug these values into the formula for σM:

[tex]σM = s / \sqrt{n}[/tex]

and calculate standard error.

In conclusion, the formula M = s / [tex]\sqrt{n}[/tex]n, where s: sample standard deviation and n: sample size, can be used to compute the standard error M for a sample.

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The radius of a cylindrical construction pipe is 2.5 ft. If the pipe is 20 ft long, what is its volume…..

Answers

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height (or length) of the cylinder.

In this case, the radius of the cylindrical construction pipe is 2.5 ft and the length is 20 ft. So, the volume can be calculated as:

V = π(2.5)^2(20)
= 125π cubic feet

Therefore, the volume of the cylindrical construction pipe is 125π cubic feet.

A pendulum is a weight attached to a fixed rod, as shown in the figures. Suppose that during an experiment, a pendulum moves back and forth in a periodic manner. At the beginning of the experiment , when the time is t = 0 seconds , the pendulum is at a point halfway between its maximum and minimum distances from the wall, 2.5 m away from the wall (Figure 1) and moving toward the wall. The pendulum first reaches its minimum distance from the wall , 1 m from the wall , when t = 1 second (Figure 2). When t = 4 seconds, the pendulum is back to a point halfway between its maximum and minimum distances from the wall. The pendulum continues to move back and forth so that the distance between the pendulum and the wall over time can be modeled by a sinusoida ! function .

Answers

Yes, a pendulum is a weight attached to a fixed rod that swings back and forth in a periodic motion. The distance between the pendulum and the wall can be modeled by a sinusoidal function, where the distance between the pendulum and the wall is represented by the equation d(t) = 2.5 + 1 sin ((π/2)t). As shown in the figures, when t = 0 seconds, the pendulum is at a point halfway between its maximum (2.5 m away from the wall) and minimum distances (1 m away from the wall), and when t = 1 second, the pendulum reaches its minimum distance from the wall. The pendulum continues to move back and forth so that when t = 4 seconds, it is back to a point halfway between its maximum and minimum distances from the wall.

I need help with this please

Answers

The volume and sum of the composite shape is 13L² and 13V³ respectively

What is a square?

A square is a closed two-dimensional shape (2D shape) with four sides that are equal and parallel to each other. Also, In Euclidean Euclidean geometry, a square is a regular quadrilateral which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles

The composite is made up of 13 squares in total

The area of 1 square is given as A = S²

The volume of the composite is 13L³ units

Hence there are 13 squares. the sum of the areas and volume of the square is 13 S²

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Write an equivalent expression for 24x + 16

Answers

E assim cara 8(3x+2)

pls help fast!! Find the equation of a line perpendicular to 4x+3y=−24 that passes through the point (−8,3).

Answers

Answer:

y - 3 = [tex]\frac{3}{4}[/tex] (x + 8)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4x + 3y = - 24 ( subtract 4x from both sides )

3y = - 4x - 24 ( divide through by 3 )

y = - [tex]\frac{4}{3}[/tex] x - 8 ← in slope- intercept form

with slope m = - [tex]\frac{4}{3}[/tex]

given a line with slope m then the equation of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{4}{3} }[/tex] = [tex]\frac{3}{4}[/tex]

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

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = [tex]\frac{3}{4}[/tex] and (a, b ) = (- 8, 3 ) , then

y - 3 = [tex]\frac{3}{4}[/tex] (x - (- 8) ) , that is

y - 3 = [tex]\frac{3}{4}[/tex] (x + 8) ← equation of perpendicular line

9. The blueprint for a new house includes a triangular shaped room in the attic. The triangular room appears on the blueprint as shown.
If the blueprint was made using a scale factor of 12
centimeter = 1 meter, what is the actual perimeter of the triangular room?
A. 2.5M
B. 4.5M
C. 9M
D. 18M

Answers

By answering the presented question, we may conclude that As a result, equation the real circumference of the triangle space is around 30 metres.

What is equation?

A math equation is a technique that links two assertions and denotes equivalence using the equals sign (=). In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For example, in the equation 3x + 5 = 14, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on either side of a letter. The logo and the programme are usually interchangeable. As an example, 2x - 4 equals 2.

Because the blueprint is designed on a scale of 12 centimetres Equals 1 metre, each 1 centimetre on the blueprint represents 0.0833 metres (1/12 of a metre).

Assume the triangle chamber on the blueprint has a perimeter of 30 cm. We may apply the following calculation to determine the real perimeter in metres:

Blueprint perimeter x Scale factor x 0.0833 = Real perimeter

Real circumference = 30 x 12 x 0.0833

Actual circumference = 29.988 metres

As a result, the real circumference of the triangle space is around 30 metres.

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A theme park's rides are rated as mild, moderate and
max. They have restrictions requiring that passengers
have heights of at least 42 inches, 48 inches, and 54
inches, respectively. Suppose the population of children
attending the park has a mean height of 53 inches with
a standard deviation of 4 inches.
If a child is chosen randomly, what is the probability
that: (Round all answers to nearest thousandths)
a) the child can go on all rides?
b) the child can participate in only mild and moderate
rides?
c) the child can only go on mild rides?
d) the child is excluded from all rides?

Answers

Answer:

the probability that a child is excluded from all rides is 0.5000 (rounded to three decimal places).

Step-by-step explanation:

We can use the standard normal distribution to solve this problem. We first need to standardize the height requirements using the population mean and standard deviation.

a) To find the probability that a child can go on all rides, we need to find the probability of getting a height of at least 54 inches.

z-score = (54 - 53) / 4 = 0.25

Using a standard normal table or calculator, we find that the probability of getting a z-score of 0.25 or greater is 0.4013.

Therefore, the probability that a child can go on all rides is 0.4013 (rounded to three decimal places).

b) To find the probability that a child can participate in only mild and moderate rides, we need to find the probability of getting a height between 42 inches and 48 inches.

First, we find the z-scores for each height requirement:

z-score for 42 inches = (42 - 53) / 4 = -2.75

z-score for 48 inches = (48 - 53) / 4 = -1.25

Using a standard normal table or calculator, we find that the probability of getting a z-score between -2.75 and -1.25 is 0.2375.

Therefore, the probability that a child can participate in only mild and moderate rides is 0.2375 (rounded to three decimal places).

c) To find the probability that a child can only go on mild rides, we need to find the probability of getting a height of less than 42 inches.

z-score = (42 - 53) / 4 = -2.75

Using a standard normal table or calculator, we find that the probability of getting a z-score of -2.75 or less is 0.0030.

Therefore, the probability that a child can only go on mild rides is 0.0030 (rounded to three decimal places).

d) To find the probability that a child is excluded from all rides, we need to find the probability of getting a height less than 42 inches or greater than 54 inches.

First, we find the z-scores for each height requirement:

z-score for 42 inches = (42 - 53) / 4 = -2.75

z-score for 54 inches = (54 - 53) / 4 = 0.25

Using a standard normal table or calculator, we find that the probability of getting a z-score of less than -2.75 or greater than 0.25 is 0.0987 + 0.4013 = 0.5000.

Therefore, the probability that a child is excluded from all rides is 0.5000 (rounded to three decimal places).

To emphasize the slow increase in sales, it would be best for Samantha to use graph B or graph A for her presentation

Answers

Answer:

Graph A

Step-by-step explanation:

As can be seen, the trend in graph A is increasing with each month but not seemingly by as much as graph B;

This is because the scale of the y-axis in graph B has smaller increments;

This creates the impression of a slow increase in sales even though the data in both graphs is actually the same.

Answer: graph A.

appear to increase less.

Step-by-step explanation:

100 POINTS PLUS BRAINLIEST!!!!
screenshot with problem attached below
answers must be serious
non-serious answers / incorrect answers will be deleted
(ATTACHEMENT BELOW)

Answers

Answer:

see step by

Step-by-step explanation:

a) the polynomial must be fifth degree, so it must have a [tex]x^5[/tex] term, also need to have 2 additional terms (Lets add any, lets say [tex]x^2+8[/tex] (notice this is totally random, just need to be under 5th degree)

So a polynomial can be

[tex]x^5+x^2+8[/tex]
notice is in standard form since degrees drops from left to right.
Also notice there's an infinite amount of possible answers

b) p-q is the same as -q+p
For example, lets say

[tex]p=x+1[/tex]

[tex]q=3x^2-5[/tex]
[tex]p-q=x+1-(3x^2-5)=x+1-3x^2+5=-3x^2+x+6[/tex]

also

[tex]-q+p=-(3x^2-5)+x+1=-3x^2+5+x+1=-3x^2+x+6[/tex]

notice is the same expression.

Ayudaaaaa no sé cuando vaya a venir a revisar estoooolo

Si 25$ representa el 15% de una cuenta cuanto hay en total en la cuenta?

Answers

Si 25 dólares representan el 15% de una cuenta, podemos usar una regla de tres simple para determinar cuánto hay en total en la cuenta:

15% -----> $25

100% ----> ($25 x 100)/15

100% ----> $166.67

Por lo tanto, hay $166.67 en total en la cuenta.

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