A function is defined as y = 3x + 5 with a domain of all real numbers greater than or equal to 5.
What would be the range of the function?
A All real numbers
B All real numbers less than 20
C All real numbers greater than or equal to 20
D {20, 23, 26, 29, 32,...}

Probability = number of favorable outcomes/number of total outcomes

In this scenario, we are concerned with the dart landing on the square. Thus,

number of favorable outcome = area of square

number of total outcome = area of circle

Area of square = s^2

where

s is the length of each side

Area of circle = πr^2

where

r is the radius of the circle

From the information given,

s = 6

r = 8

π = 3.14

Area of square = 6^2 = 36

Area of circle = 3.14 x 8^2 = 200.96

the probability that the dart lands in the shaded square region = 36/200.96

the probability that the dart lands in the shaded square region = 0.18

Given the events:

Banking online (Bo)

Under the age of 50 (<50)

P(Bo)= 0.30

P(<50)= 0.40

P(Bo ∩ <50)= 0.25

1) What percentage of adults do not conduct their banking online?

The event "adults that do not conduct their baking online" is the complement of the event "adults that conduct their baking online" Symbolically Bo^cBo

P(Bo^cBo c

)= 1 - P(Bo)= 1 - 0.30 = 0.70

2) What type of probability is 25%?

The probability P(Bo ∩ <50)= 0.25 is a joint probability, it indicates the intersection between both events.

3) Construct a contingency table showing all joint and marginal probabilities.

Check attachment.

4) What is the probability that an individual conducts banking online given that the individual is under the age of 50?

Symbolically:

P(Bo/<50)= P(Bo ∩ <50) = 0.25 = 0.625

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Answer:

The number of chains in each fileiras = 28.

Step-by-step explanation:

Total number of chains = 224

Number of fileiras = 8

Number of chains in each fileiras is given by the divison of total number of chains to the number filerias.

\(\frac{224}{8}\\\\=28\)

Answer:

Different ways to answer this question

Step-by-step explanation:

You can do a ratio  of 1:4 apples and 1:5 oranges

Answer:

f(x)= 780/35-x I think. im not sure how to explain how I got it

After maxing x as a subject the solution becomes: x = z³ + √d 3a. This can be solved using the concept of solving equation.

Equations simultaneously, or a system of equations Multiple equations in algebra must be solved simultaneously. There must be an equal number of equations and unknowns for a system to have a singular solution. When two or more equations use the same variables, they are said to be in a system of equations. Graphing, substitution, and elimination are the three techniques used to solve systems of equations.

For instance, two equations with the identical variables, x and y, are x + y = 12 and 2x + 5y = 8. They are an equalization system.

Given that,

\(\sqrt{d} =\frac{ x - z^3}{3a}\)

or, x - z³ = √d 3a

or, x = z³ + √d 3a

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Answer: 64.80

Step-by-step explanation:

Answer:

between 7 and 8

Step-by-step explanation:

Consider perfect squares either side of 63 , that is

49 < 63 < 64 , then

\(\sqrt{49}\) < \(\sqrt{63}\) < \(\sqrt{64}\)  , that is

7 < \(\sqrt{63}\) < 8

the commission rate is 752.

Answer:

the very last one because none of the x values can be the same and it has two 0 in the x values

Step-by-step explanation:

To change from rectangular to cylindrical coordinates, we use the following formulas: r = √(x²+ y²) and theta = arctan(y/x). For part (a), the coordinates are (-8, 8, 8). Using the formulas, we get r = √((-8)² + 8²) = 8√(2) and theta = arctan(8/-8) + pi = -3pi/4. Therefore, the cylindrical coordinates are (8√(2), -3π/4, 8). For part (b), the coordinates are (-4, 4√(3), 9). Using the formulas, we get r = √((-4)²+ (4sqrt(3))²) = 8 and theta = arctan(4√(3)/-4) + π = -π/3. Therefore, the cylindrical coordinates are (8, -π/3, 9).

Rectangular coordinates are used to represent a point in three-dimensional space as an ordered triplet (x,y,z). However, cylindrical coordinates are an alternative way to represent this point using the distance r from the origin to the point in the xy-plane, the angle theta between the positive x-axis and the projection of the point onto the xy-plane, and the height z of the point above the xy-plane. The formulas for converting between rectangular and cylindrical coordinates involve using trigonometric functions.

Changing from rectangular to cylindrical coordinates involves using the formulas r = √(x²+ y²) and theta = arctan(y/x) to find the distance from the origin to the point in the xy-plane and the angle between the positive x-axis and the projection of the point onto the xy-plane, respectively. The height of the point above the xy-plane remains the same.

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Answer:

the answer is angle E

Step-by-step explanation:

to find it

for angle A and D can be equal because of exterior angle and vertical opposite angle(VOA) respectively

for angle F it can be (VOA)

but E can't be the supplementary angle

The sales tax rate is 7% in Allegheny County. The sales tax rate in Warren County is 6%. And the book was bought in Allegheny County.

A math teacher bought a book for $ 24.99, and the sales tax on the book was $ 1.75. The teacher was able to determine whether the book was purchased in Allegheny County or Warren County by figuring out the sales tax rate. Because the total sales tax on the book was $1.75, which is equivalent to 7% of the purchase price of $24.99, the book was purchased in Allegheny County.

Sales tax rate = Total sales tax / Purchase price

Using the above formula,

Total sales tax = Sales tax rate * Purchase price

Let's calculate the sales tax using the above formula;

For Warren County, Sales tax rate = 6% = 0.06

Total sales tax = Sales tax rate * Purchase price= 0.06 * 24.99= $1.4994 ≈ $1.50

For Allegheny County,Sales tax rate = 7% = 0.07

Total sales tax = Sales tax rate * Purchase price= 0.07 * 24.99= $1.7493 ≈ $1.75

As we can see, the total sales tax on the book was $1.75, which corresponds to the sales tax rate of 7%. Therefore, the book was bought in Allegheny County.

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Answer:

Yes, I have it's about  a Nigerian boy called Chike who leaves his village, Umuofia, to go and stay with his uncle in the big city of Onitsha.

Answer:

slope is -2/1

Step-by-step explanation:

when you find slope of a line, its rise over run

so when ever the line hits a point, it goes 2 down and 1 right (if you explain this simply)

Answer:

m= -2

Step-by-step explanation:

The two points are 0,2 and 1,0 and the equation used between them spits out -2

Answer: x≥-1 or x≤-5

Step-by-step explanation:

First, divide both sides by 4 to get rid of the 4:

4|x+3|≥8

|x+3|≥2

Next, we know that for |a|≥b, a≥b or a≤-b. Therefore:

|x+3|≥2

x+3≥2     or      x+3≤-2

x≥-1                  x≤-5

The new length and width of the living room would be 20% greater than the original length and width.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent symbol, "%," is commonly used, however the abbreviations "pct.", "pct," and sometimes "pc" are also used.

A percentage is a number with no dimensions; it has no unit of measurement.

To increase the length and width of a room by 20%,

We need to add 20% of the original length and width to the original values.

If the original length and width of the living room are L and W respectively, the new dimensions would be:

New length = L + 0.20 * L = 1.20 * L

New width = W + 0.20 * W = 1.20 * W

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Answer: c=18.9-2.1r.

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have that

The linear equation in standard form is

where

c is the pounds of chicken

r is the pounds of ribs

Solve the equation for c

That means ----> isolate the variable c

Subtract 1.89r both sides

Divide by 0.90 both sides

Simplify

Solve the equation for r

That means ----> isolate the variable r

Subtract 0.90c both sides

Divide by 1.89 both sides

Simplify

therefore

The equation  is equivalent

The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.

The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

What is Standard Deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the more the data points deviate from the mean; Hence, the higher the standard deviation, the more dispersed the data.

We know that:

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

where \(x_{i}\)  is the mean and n is the number of observations.

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

98% Confidence interval:  

\(\bar{x} \pm t_{\text {critical }} \frac{s}{\sqrt{n}}\)

Putting the values, we get,  

\(t_{\text {critical }} \alpha_{0.02}\\=\pm 2.14535.07 \pm 2.145\left(\frac{6.02}{\sqrt{15}}\right)\\=35.07 \pm 3.33\\=(31.74,38.4)\)

Hence, The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

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Allowing visitors to launch their own boats increases their willingness to visit the park by 20% (70% to 50%) when the park provides cabin accommodations, and it increases their willingness to visit the park by 30% (60% to 30%) when the park provides tent accommodations.

In this scenario, the simple effects of the preference to be able to launch their own boats depend on the type of overnight accommodation provided. When the park provides cabin accommodations, allowing visitors to launch their own boats increases their willingness to visit the park by 20%. This means that 70% of respondents who were offered cabin accommodations and the ability to launch their own boats expressed a willingness to visit the park, compared to only 50% of those who were offered cabin accommodations without the option to launch their own boats.

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Answer:

Option C

Step-by-step explanation:

Use the property to convert each expression from exponent form to radical form.

\((a)^{\frac{1}{n}}=\sqrt[n]{a}\)

a). \((b)^{\frac{4}{5}}=(b^4)^\frac{4}{5}\)

           \(=\sqrt[5]{b^4}\)

b). \((8x)^\frac{2}{3}=[(8x)^2]^\frac{1}{3}\)

              \(=[64x^2]^\frac{1}{3}\)

              \(=[(4)^3x^2]^\frac{1}{3}\)

              \(=(4^3)^\frac{1}{3}(x^2)^\frac{1}{3}\)

              \(=4(x^2)^\frac{1}{3}\)

              \(=4\sqrt[3]{x^2}\)

Therefore, Option C will be the answer.

By using synthetic division, we can find all the roots of the function f(x) = x³ + 3x² - x - 3 and determine that the roots are 1, -1, and -3.

A root of a function is a value for x that makes the function equal to zero.

In this case, we have a function f(x) = x³ + 3x² - x - 3 and we know that f(1) = 0. To find all the roots of this function, we can use the remainder theorem.

The remainder theorem states that if we divide a polynomial by a linear expression (such as x - a), the remainder will be equal to the value of the polynomial at that value of x (a). In other words, if we write f(x) = (x - a)q(x) + r, where r is the remainder, then f(a) = r.

So, if we divide our function f(x) by x - 1, the remainder will be equal to f(1), which we know is zero. Therefore, (x - 1) is a factor of f(x), and the function has a root at x = 1.

Next, we can divide f(x) by (x - 1) to get a quotient, q(x), and a new remainder, r. We can repeat this process, dividing q(x) by another linear expression until we have no more remainders.

The roots of f(x) will be the values of x that we used as factors in each step of the division process.

This process of dividing a polynomial by a linear expression to find its roots is called synthetic division.

Complete Question

If f(1) = 0, what are all the roots of the function f(x) = x³ + 3x² - x - 3. Use the remainder theorem.

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Answer:

4yards

Step-by-step explanation:

\( \rm \mapsto \: {5}^{2} = {3}^{2} + {x}^{2} \\ \rm \mapsto \: 25 = 9 + {x}^{2} \\ \rm \mapsto \: {x}^{2} = 25 - 9 \\ \rm \mapsto \: {x}^{2} = 16 \\ \rm \mapsto \: x = \sqrt{16} \\ \rm \mapsto \: x = 4yards\)

Answer:

B and then A

Step-by-step explanation:

volume is × so the . means times

so it's the only option

and then the second area is

6×3×4= 72cm³

Solution -:

\( \bold{ \underline{ \underline{Given}}}\)

-3x7x7x7x7x7x7

\(\bold{\underline {\underline{lets \: begin}}}\)

We have,,

\( -3 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \\ = - 3¹ \times {7}^{6} \)

As like example→ 2⁴

here 2 is base and 4 is power , index or exponent. and 2⁴ is known as Exponential form.

The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

let us take the radius of the larger sphere r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

The surface area of a sphere with radius r is 4πr².

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

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Answer: A. 1400000

Step-by-step explanation: