what 2 values can f have if f² is 16​

Step-by-step explanation:

The total amount of money collected from the ticket sales is:

$5/ticket x 3000 tickets = $15,000

The expected value for a person that buys a ticket can be calculated by adding up the probabilities of winning each prize multiplied by the amount of money for each prize:

E(X) = (1/3000) x $500 + (1/3000) x $250 + (1/3000) x $125 + (1/3000) x $50 - (2996/3000) x $5

Simplifying this expression:

E(X) = $0.1666667 + $0.0833333 + $0.0416667 + $0.0166667 - $4.9833333

E(X) = -$4.65

Therefore, the expected value for a person that buys a ticket is -$4.65, which means that on average, a person can expect to lose $4.65 for every ticket they buy.

Answer: $0.31

Step-by-step explanation:

1/3000 tickets will be worth $500.

1/3000 tickets will be worth $250.

1/3000 tickets will be worth $125.

1/3000 tickets will be worth $50.

The remaining 2996/3000 tickets will be worth $0. (Nobody else wins.)

So (1/3000)x500 + (1/3000)x250 + (1/3000)x125 + (1/3000)x50 + (2996/3000)x0 = $0.31.

Please note: This question asks for expected value. Expected value is a measure of what you should expect to get per game. The payoff of a game is the expected value of the game minus the cost.

Answer:

B. (1,7)

Step-by-step explanation:

The standard deviation of the sampling distribution of p is 0.028284

The mean of the sampling distribution of p can be found using the formula:

μp = p = 0.2

The standard deviation of the sampling distribution of p can be found using the formula.

Plugging in the given values, we get:

σp = ✓[(0.2*(1-0.2))/200 * (25000-200)/(25000-1)]

= ✓[(0.16/200) * (24800/24999)]

= ✓[0.0008 * 0.99204]

= ✓(0.0007936)

= 0.028284

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The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.

To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.

In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).

The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:

|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1

The dot product of the two vectors is:

a · b = (1)(15/17) + (0)(-8/17) = 15/17

So we have:

15/17 = (1)(1) cos(θ)

cos(θ) = 15/17

To find sin(θ), we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289

Taking the square root of both sides, we get:

sin(theta) = sqrt(64/289) = 8/17

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A quota is a limit on the number of goods that a country can import or export during a specific time period, while an embargo is an official ban on trade with a particular country or good or service. Unlike a quota, an embargo is much more strict as it completely shuts down the trade, but a quota simply limits the amount of trade.

A quota limits the quantity of a specific product that can be imported, while an embargo prohibits the import or export of a particular product entirely.

The primary similarity between quotas and embargoes is that they both restrict the flow of goods between countries. Both policies are designed to protect domestic industries by limiting foreign competition and promoting local production.

The main difference between quotas and embargoes is the way they achieve their objectives. A quota sets a limit on the quantity of a particular product that can be imported into a country during a specified period. In contrast, an embargo prohibits the import or export of specific goods altogether, typically for political reasons such as national security concerns or human rights violations.

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Answer:

f(g(x)) = x is the correct graph.

Answer:

Part A: 13440ft³

Part B: 2940ft³

Step-by-step explanation:

box volume:

20 x 28 = 560

560 x 24 = 13440ft³

Subtract gift volume:

13440 - 10500 = 2940ft³

The domain and range of the cube root function is all real numbers because the cube root of any real number is defined.

The domain of the cube root function is all real numbers because the cube root of any real number is defined. However, in certain situations, such as when the function is being used in a real-world context, there may be practical restrictions on the domain of the function.

The range of the cube root function is also all real numbers because every real number has a unique real cube root. Specifically, the range of the cube root function includes negative and positive real numbers, as well as zero.

It's important to note that the domain and range of a function can be affected by any restrictions or conditions that apply to the function, which may depend on the specific context in which the function is being used. However, for the cube root function as a mathematical concept, the domain and range are as stated above.

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The formula for v in terms of T is in the equation T = v/6 + 5 is v = 6T - 30.

Given the formula in the question:

T = v/6 + 5

To make v the subject of the formula T = v/6 + 5, we need to isolate v on one side of the equation.

First, we can subtract 5 from both sides of the equation to get:

T = v/6 + 5

T - 5 = v/6 + 5 - 5

T - 5 = v/6

Next, we can multiply both sides by 6 to eliminate the fraction:

6(T - 5) = 6(v/6)

6(T - 5) = v

Simplifying the right-hand side, we get:

6×T 6×-5 = v

6T - 30 = v

v = 6T - 30

Therefore, v as the subject of the formula is v = 6T - 30.

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Answer:

[tex](- \infty, \infty)[/tex]

Third answer choice

Step-by-step explanation:

This is the graph of the function f(x) = tan(x)

We can see that the minimum value of f(x) tends to - ∞ and the maximum value tends to + ∞

So the range of f(x) is [tex](- \infty, \infty)[/tex]

This is the third answer choice (the one that is highlighted in orange)

Answer: 64 1/2

Step-by-step explanation:

Answer:

2³

Step-by-step explanation:

Square root of 64 = 8

exponential notation = 2×2×2 = 2³

Answer:

P = (3^2)/(4^2) = 9/16 = .5625 = 56.25%

This probability is about .56.

The probability the number chosen is even, give that it is greater than 1 is 1/2.

The numbers include 1,2,3,4,5,6,

Let P (E) = probability of chosing even number is

P (E) = (Required outcome)/(Total outcome)

Required outcome = numbers of even number

Total outcome = total numbers

P (E) = 3/6

P (E) = 1/2

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Answer:

[tex]\displaystyle{f(x)=(x-5)^2-24}[/tex]

Step-by-step explanation:

Given the function:

[tex]\displaystyle{f(x)=x^2-10x+1}[/tex]

Separate 1 out of the terms:

[tex]\displaystyle{f(x)=(x^2-10x)+1}[/tex]

Convert parentheses-terms to perfect square:

[tex]\displaystyle{f(x)=(x^2-10x+25)+1-25}[/tex]

Evaluate and/or simplify:

[tex]\displaystyle{f(x)=(x-5)^2-24}[/tex]

Step-by-step explanation:

The dressmaker's expected value can be calculated as follows:

E(X) = (1/5) x $76 + (6/11) x (-$31)

E(X) = $15.20 - $16.36

E(X) = -$1.16

Therefore, the dressmaker's expected value is -$1.16, which means that on average, the dressmaker can expect to lose $1.16 for each dress they create.

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer: 70

Step-by-step explanation: The circles total angles will be 360. From here we just subtract 360-140-150 to get our answer of 70.

The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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Answer:

A. $4.90

Step-by-step explanation:

The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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Answer:

A- All of the answers listed

Step-by-step explanation:

Let's consider each choices:-

B- A cone with the same height and radius would have a volume of 96π ft³.

In this case, we are replaced with the cone figure that has diameter of 12 feet and height of 8 feet. We know that the formula of cone's volume is:

[tex]\displaystyle{\dfrac{1}{3}\pi r^2 h}[/tex]

Our radius is half of diameter which is 12/2 = 6 feet. Therefore:

[tex]\displaystyle{V = \dfrac{1}{3}\pi \cdot 6^2 \cdot 8}\\\\\displaystyle{V = \dfrac{1}{3}\pi \cdot 36 \cdot 8}\\\\\displaystyle{V = \pi \cdot 12 \cdot 8}\\\\\displaystyle{V=96\pi \ \: \text{ft}^3}[/tex]

Therefore, the statement B is true.

C- The volume of the cylinder is 288π ft³

Finding the volume of cylinder, the volume's formula is [tex]\displaystyle{V = \pi r^2 h}[/tex]. Substitute known values:

[tex]\displaystyle{V = \pi \cdot 6^2 \cdot 8}\\\\\displaystyle{V = \pi \cdot 36 \cdot 8}\\\\\displaystyle{V=288\pi \ \: \text{ft}^3}[/tex]

Therefore, the statement C is also true.

D- The area of the base is 36π ft²

Finding the base's area, our base of cylinder is a circle shape. Therefore, the area of circle is [tex]\displaystyle{A=\pi r^2}[/tex]. Thus:

[tex]\displaystyle{A=\pi \cdot 36}\\\\\displaystyle{A=36\pi \ \: \text{ft}^2}[/tex]

Hence, the statement D is also true.

Therefore, every statements are true. Hence, All of the answers listed are correct answers.

The value of the square root of 7 is,

⇒ √7 = 2.645

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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The requried function represents an absolute value parent function.

A graph is shown,

When we see at the points on the curve,
On x = -10 we have y = 10
simultaneously,
On x = 10 again we have y = 10

This implies that the function is an absolute value parent function.

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The area of parallelogram is calculated as, 267.54 cm²

Now, The area of parallelogram can be found by product of its base and height. The calculations are shown below:  

We know that,

Area of parallelogram = base × height

Here, We can assume base to be 21 cm.

Then,

sin 79° =  h / 13

height = 13 × 0.98 = 12.74

Hence, Area of parallelogram = 21 × 12.74

                                               = 267.54

Thus, The area of parallelogram is calculated as, 267.54 cm²

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The function g(x)=3a²-4x-1 given represents the quadratic function family.

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

Prior to the twentieth century, the distinction between a polynomial and its related polynomial function was hazy, therefore "quadratic polynomial" and "quadratic function" were nearly equivalent.

This is still the case in many elementary courses, where both names are sometimes shortened as "quadratic". A quadratic equation is formed when a quadratic function is equated with zero.

The zeros of the appropriate quadratic function are the solutions of a quadratic equation. A quadratic function may have an infinite number of variables.

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Answer:1100 it is 220 every day

Answer:

500 times

Step-by-step explanation:

Divide the thickness of a cat hair by the thickness of a human hair.

4.0 × 10^-1 / 8.0 × 10^-4 =

= 0.5 × 10^3

= 500

500 times

Answer: A sales discount is a reduced price offered by a business on a product or service.

Step-by-step explanation:

Answer:

when the original selling price of a product does down. You'll be getting the same product at a lower price

Step-by-step explanation:

you can calculate the discount % by

NEW PRICE MULTIPLIED BY 100 DIVIDED BY OLD PRICE

Logan will pay $18.02 more if he buys the wooden stacking toy instead of the plastic stacking toy.

The cost of the plastic stacking toy is 1/3 the cost of the wooden stacking toy:

Cost of plastic toy = (1/3) x $25.50 = $8.50

If Logan buys the wooden toy, he will pay:

Cost of wooden toy = $25.50

To find the amount of sales tax on either toy, we can multiply the cost of the toy by the tax rate of 6%:

Sales tax = 6% x cost of toy

Sales tax on the wooden toy = 6% x $25.50 = $1.53

Sales tax on the plastic toy = 6% x $8.50 = $0.51

If Logan buys the wooden toy, he will pay an extra:

Total cost difference = Cost of wooden toy - Cost of plastic toy + Sales tax on wooden toy - Sales tax on plastic toy

Total cost difference = ($25.50 - $8.50) + ($1.53 - $0.51)

Total cost difference = $17 + $1.02

Total cost difference = $18.02

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The missing values of the average annual precipitation over a 30-year period for Michigan and Nebraska are:

The average annual precipitations over a 30-year period for Michigan and Nebraska are calculated as follows:

The range of the data is 18.1 inches

Indiana has the greatest average annual precipitation of 41.7 inches

Hence, the smallest value = 41.7 - 18.1

The smallest value = 23.6 inches

From the table, this would be the value of either Michigan or Nebraska.

Also, the mean of the values for Michigan and Nebraska is 28.2 inches.

Let the unknown value be y

Hence; (23.6 + y) / 2 = 28.2

y = 56.4 - 23.6

y = 32.8 inches

Since Michigan has a greater amount of annual precipitation than Nebraska, the average annual precipitation over a 30-year period for Michigan and Nebraska is 32.8 inches and 23.6 inches respectively.

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