Dani and Jaimee wanted to improve their gardens by planting flowers: tulips and
Hydrangeas. They bought their supplies from the same store. Dani spent $60 on 9
Tulips and 7 hydrangeas. Jaimee spent $106 on 11 tulips and 14 hydrangeas.
What is the cost of one tulip and one hydrangea?

The probability that you win at most once in the instant lottery when playing five times is approximately 0.4096.

To calculate the probability of winning at most once in the instant lottery when playing five times, we need to consider the different possibilities: winning zero times and winning once.

The probability of winning zero times (not winning) in one play is (1 - 0.2) = 0.8.

Since the outcomes are independent, the probability of winning zero times in five plays is (0.8)^5 = 0.32768.

The probability of winning once is given by the formula:

Probability of winning once = (number of ways to win once) * (probability of winning) * (probability of not winning the other times)

In this case, there is only one way to win once out of five plays, and the probability of winning is 0.2.

The probability of not winning the other four times is (1 - 0.2)^4 = 0.4096.

Therefore, the probability of winning once is 1 * 0.2 * 0.4096 = 0.08192.

To find the probability of winning at most once, we need to sum the probabilities of winning zero times and winning once:

Probability of winning at most once = Probability of winning zero times + Probability of winning once

= 0.32768 + 0.08192

= 0.4096

Therefore, the probability that you win at most once in the instant lottery when playing five times is approximately 0.4096.

The correct answer is option c: 0.4096.

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Answer:

x=18

Step-by-step explanation:

The solution is given below.

A table in which the rows represent the categories for one category variable, the columns represent the categories of a second category variable and each cell displays the frequency (or proportion) resulting for that row and column combination for the two variables.

here, we have,

1. Positive association - direct relationship: increase = increase and vice versa

2. Scatterplot - scattered data

3. Bivariate data - two variables

4. Two-way table - displays two variables into rows and columns

5. Two-way relative frequency table - shows the relative frequencies in the table

6. Association - how sets of data are related

7. Negative association - reverse relationship: increase = decrease and vice versa

8. Relative frequency - frequency of a specific data value divided by the total number of data values

9. No association - no relationship

10. Strength of association

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Given equation of motion for a particle is s(t) = 8t³ - 24t² - 72t.To find the velocity of the particle, differentiate the position function with respect to time.

The derivative of the position function gives the velocity function.v(t) = s'(t) = (d/dt) s(t) = (d/dt) (8t³ - 24t² - 72t)v(t) = 24t² - 48t - 72To find where the velocity function is zero, set v(t) = 0 and solve for t.24t² - 48t - 72 = 0Factor out the GCF: 24(t² - 2t - 3) = 0Use the zero product property and set each factor to zero:24 = 0 (not possible)t² - 2t - 3 = 0(t - 3)(t + 1) = 0t = 3 and t = -1

Therefore, the velocity function is v(t) = 24t² - 48t - 72 and the velocity is zero at t = -1 and t = 3.To find the acceleration function, differentiate the velocity function with respect to time. The derivative of the velocity function gives the acceleration function.a(t) = v'(t) = (d/dt) v(t) = (d/dt) (24t² - 48t - 72)a(t) = 48t - 48Therefore, the acceleration function is a(t) = 48t - 48.

The given equation of motion for a particle is s(t) = 8t³ - 24t² - 72t.To find the velocity of the particle, differentiate the position function with respect to time. The derivative of the position function gives the velocity function.v(t) = s'(t) = (d/dt) s(t) = (d/dt) (8t³ - 24t² - 72t)The velocity function is, v(t) = 24t² - 48t - 72To find where the velocity function is zero, set v(t) = 0 and solve for t.24t² - 48t - 72 = 0Factor out the GCF: 24(t² - 2t - 3) = 0Use the zero product property and set each factor to zero:24 = 0 (not possible)t² - 2t - 3 = 0(t - 3)(t + 1) = 0t = 3 and t = -1Therefore, the velocity function is v(t) = 24t² - 48t - 72 and the velocity is zero at t = -1 and t = 3.To find the acceleration function, differentiate the velocity function with respect to time. The derivative of the velocity function gives the acceleration function.a(t) = v'(t) = (d/dt) v(t) = (d/dt) (24t² - 48t - 72)The acceleration function is, a(t) = 48t - 48

Therefore, the velocity function is v(t) = 24t² - 48t - 72 and the velocity is zero at t = -1 and t = 3. The acceleration function is a(t) = 48t - 48.

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Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

A quadratic equation, \(ax^{2} +bx+c=0\) is solved by

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

Given function \(f(x)=x^4-10x^2+10000\)

Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)

\(x^4-10x^2+10000-20000=0\)

\(x^4-10x^2-10000=0\)

Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)

\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)

\(x^2=\frac{10 \pm 200.2}{2}\)

\(x^2=5 \pm 100.1\)

\(x^2=105.1\)

\(x=\sqrt{105.1}\)

\(x=10.25\)

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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Answer:

B)113.04 cm^2

Step-by-step explanation:

Answer:

B)113.04 cm^2

Step-by-step explanation:

circumference is 37.68

C=2πr

now the Area is

A=πr^2

we need to know the radius

so 37.68=2(3.14)r

divide both sides by 2(3.14)

get

r=6

now solve for area

A=(3.14)(6)^2

=113.04

The simplest form by adding two number is \(3\sqrt{5}+2\sqrt{2}\)  and it is irrational number.

The square root of any number is equal to a number, which when squared gives the original number. Let us say n is a positive integer, such that  \(\sqrt{n.n}=\sqrt{(n)}^2=n\)

Given that, the two numbers,

3 square root of 5= \(3\sqrt{5 }\)

2 square root of 2 = \(2\sqrt{2}\)

Sum of these two numbers = \(3\sqrt{5}+2\sqrt{2}\)

We cannot simplify this term further.

The simplest form by adding two numbers is \(3\sqrt{5}+2\sqrt{2}\)

As it is clear, it is a irrational number.

Because, \(\sqrt{2}\) and \(\sqrt{5}\) is a irrational number.

Hence, the simplest form by adding two number is \(3\sqrt{5}+2\sqrt{2}\)  and it is irrational number.

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(a) Subset {13, 4, 5} is represented by the bit string 0100010110, where each bit corresponds to an element in the universal set U. (b) Subset {12, 3, 4, 7, 8, 9} is represented by the bit string 1000111100, with 1s indicating the presence of the corresponding elements in U.

(a) Subset {13, 4, 5} can be represented as a bit string as follows:

Bit string: 0100010110

Since the universal set U has 10 elements, we create a bit string of length 10. Each position in the bit string represents an element from U. If the element is in the subset, the corresponding bit is set to 1; otherwise, it is set to 0.

In this case, the positions for elements 13, 4, and 5 are set to 1, while the rest are set to 0. Thus, the bit string representation for {13, 4, 5} is 0100010110.

(b) Subset {12, 3, 4, 7, 8, 9} can be represented as a bit string as follows:

Bit string: 1000111100

Following the same approach, we create a bit string of length 10. The positions for elements 12, 3, 4, 7, 8, and 9 are set to 1, while the rest are set to 0. Hence, the bit string representation for {12, 3, 4, 7, 8, 9} is 1000111100.

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--The given question is incomplete, the complete question is given below " Suppose that the universal set is U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Express each of the following subsets with bit strings (of length 10) where the ith bit (from left to right) is 1 if i is in the subset and zero otherwise. (a) 13, 4,5 (b) 12,3,4,7,8,9 "--

Answer:

4.6%

Step-by-step explanation:

50 = 2.3

100 = 4.6%

The area of the region enclosed by one loop of the curve r = sin (2θ) is given by 1 square unit.

Given the polar equation is,

r = sin (2θ)

The graph of the given polar equation is given by,

when r = 0 then, sin (2θ) = 0

2θ = 0, π, 2π, 3π, .....

θ = 0, π/2, 2π/2, 3π/2, ..... = 0, π/2, π, 3π/2, ....

So the loop is created for each 0 < θ < π/2.

So the area of the one loop using integration is given by

= \(\int_0^{\frac{\pi}{2}}\) r dθ

= \(\int_0^{\frac{\pi}{2}}\)sin 2θ dθ

= [- cos 2θ/2] from 0 to π/2

= (1/2) [- cos (2 (π/2)) + cos (2*0)]

= (1/2) [- cos π + cos 0]

= (1/2) [- (-1) + 1]

= 1 square units.

Hence the required area is 1 square units.

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The answer of the given question is $6.4, this is the money that need to be added onto the bill for the tip.

How to calculate a 20% tip?

To calculate tip, we need to multiply the total bill by 1 plus the decimal percentage tip we'd like to leave. If we wanted to leave a 20% tip, we would add 1 to 0.20 to get 1.20. Then, multiply the bill by 1.20 to get the total amount we'd leave including tip.

In this case, we have a $32 bill and we would like to add on an 20% tip. So, it will be as follows:

20% = 0.20

1 + 0.20 = 1.20

Total bill will be 1.20 x $32 = $38.4

Hence, the tip amount is $38.4 - $32 = $6.4

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Answer:

Those are two different questions that aren't related isn't it?

Step-by-step explanation:

I KNOW

The value of t while considering a right-tailed test (upper tail) and a sample size of 40 at the 95% confidence level is ±1.685.

Given:

Consider a right-tailed test (upper tail) and a sample size of 40 at the 95% confidence level.

we are asked to determine the t value:

The directional hypothesis is:

Hₐ : µ > µ₀

The sample size is, n = 40.

The significance level is:

α = 1-0.95 = 0.05

Use the t-table to compute the right-tailed t-critical value as follows:

tₐ,₍ₙ₋₁₎ = t₀.₀₅,₍₄₀₋₁₎

        = t₀.₀₅,₃₉

        ≈ t₀.₀₅,₄₀

        = 1.684

        ≈ 1.685

The value is positive since the directional hypothesis suggests that the test is right tailed.

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The probability of success in a binomial process is p = 0.5, the binomial distribution is symmetric around the mean.

Binomial distribution is a probability distribution used in statistics that states the likelihood that a value will take one of two independent values under a given set of parameters or assumptions.

Binomial distribution is calculated by multiplying the probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials. Then, multiply the product by the combination between the number of trials and the number of successes.

The mean of the binomial distribution is np, and the variance of the binomial distribution is np (1 − p). When p = 0.5, the distribution is symmetric around the mean. When p > 0.5, the distribution is skewed to the left. When p < 0.5, the distribution is skewed to the right.

The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials.

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Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Answer:

So how many he has left to do???

I think Salim has to finish 5 more problems

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They all have and addition and subtraction pattern in each cube, thank me later - PrObLeM OcCuReD

Based on the price of the cell phone in November and December, the price of the cell phone in March was $39

To find the price of the cell phone in March, you need to first find the price of the cell phone in November.

The price of the cell phone in November was $25 more than the price in December:

= 25 + 53

= $78

The price in November was double the price in March so the price in March was:

= 78 / 2

= $39

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Answer:

452.39

Step-by-step explanation:

to find the surface area of a sphere all you need is the radius (half the diameter) and assuming the sphere touches both top and bottom that makes the radius 6 so your equation is

SA=4πr^2

SA=4*π*6^2

SA=4*π*36

SA=4*113.09

SA=452.389

then rounded up to 452.39, that is your answer

The series of transformations that correctly maps rectangle ABCE to LMNO is: Translate rectangle ABCD right 9 units, then dilate the result by a scale factor of 3 centered at the origin.

Based on the diagram, translation is by adding 9 to the x-coordinates of all the points in the rectangle.

Also,the dilation us by multiplying the coordinates of all the points in the translated rectangle A'B'C'D' by a factor of 3.

Hence, the series of transformations that correctly maps rectangle ABCE to LMNO is to teanslate rectangle ABCD right 9 units, then dilate the result by a scale factor of 3 centered at the origin.

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The spot on the shoreline is moving at a rate of about 1.764 feet per minute when it is 13 feet from the point on the shoreline closest to the lighthouse.

What is differentiation?

Differentiation is a mathematical operation that is used to find the rate at which a function changes. More specifically, it is the process of finding the derivative of a function.

The derivative of a function at a given point is a measure of how quickly the function is changing at that point. It gives the slope of the tangent line to the graph of the function at that point. The derivative can be thought of as the instantaneous rate of change of the function at that point.

Let's call the point on the shoreline closest to the lighthouse "P". We know that the distance from the spotlight to P is 130 feet, and we want to find the rate at which the distance from the spotlight to P changes when the spotlight is 13 feet from P.

To do this, we can use the chain rule to differentiate the distance formula with respect to time. Let's call the distance between the spotlight and P "d". Then:

                           d²= 130² + x²

Taking the derivative of both sides with respect to time gives:

                   2d * dd/dt = 0 + 2x * dx/dt

We can solve for dd/dt by plugging in the values we know:

130² + 13² = d²

d = \(\sqrt{(130^2 + 13^2)}\) = 130.325 ft

2(130.325) * dd/dt = 2(13) * dx/dt

dd/dt = (13/130.325) * dx/dt

We know that the spotlight revolves at a rate of 281 rad/min, or 281/2π ≈ 44.7 revolutions per minute. Each revolution of the spotlight covers a distance of 2π * 130 feet, so its speed is:

(2π * 130 ft/rev) * (44.7 rev/min) = 18410.8 ft/min

To find dx/dt when x = 13, we need to find the angular velocity of the spotlight at that point. The spotlight makes one full revolution every 60/14 ≈ 4.29 seconds, so its angular velocity is:

2π radians/rev ÷ 4.29 s/rev = 1.47 radians/s

At any given moment, the angle between the spotlight and the line connecting the lighthouse and P is equal to the arctangent of x/130. When x = 13, this angle is:

arctan(13/130) ≈ 5.71°

The rate at which the angle is changing is equal to the angular velocity of the spotlight, so we can use the formula for the derivative of the arctangent to find dx/dt:

dx/dt = 130 * tan(5.71°) * (1.47 radians/s)

dx/dt ≈ 17.602 ft/min

Finally, we can substitute this value into the expression we found for dd/dt:

dd/dt = (13/130.325) * 17.602

dd/dt ≈ 1.764 ft/min

So the spot on the shoreline is moving at a rate of about 1.764 feet per minute when it is 13 feet from the point on the shoreline closest to the

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The retail price of the wicker chair after an increment of 110% will be 124.3.

The part of any outcome is given as though it was a ratio of a hundred.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

An import/export industry marks up imported products by 110%. If a wicker chair imported from Singapore initially costs 113 from the factory.

The retail price is given as,

⇒ 110% of 113

⇒ 1.10 x 113

⇒ 124.3

Thus, the retail price of the wicker chair after an increment of 110% will be 124.3.

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We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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Answer:

cero que la pregunta es el numero cuatorce

Step-by-step explanation:

Answer:

Using the volume formula we know that (B) 27 cubes can be fitted into the right rectangular prism.

What is the right rectangular prism?

The right rectangular prism has four rectangle-shaped side faces and two parallel end faces that are perpendicular to each of the bases.

Parallelograms make up the sides of an oblique prism, a non-right rectangular prism.

A cuboid is yet another name for a right rectangle prism.

So, the volume of the right rectangular prism:

V = wlh

Insert values:

V = wlh

V = 6*8*4.5

V = 216cm³

Now, the volume of the cube:

V = a³

V = 2³

V = 8cm³

Then, the number of cubes that can be fitted in the right rectangular prism:

216/8 = 27

Therefore, using the volume formula we know that (B) 27 cubes can be fitted into the right rectangular prism.

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Correct question:

How many cubes, with side measures of 2 cm, will fit inside a right rectangular prism with dimensions of 6 cm by 8 cm by 4 1/2 cm?

Group of answer choices

a. 24

b. 27

c. 108

d. 54

The final answer is 27

To determine how many cubes will fit inside the right rectangular prism, we need to find the volume of the prism and the volume of the cubes, then divide the volume of the prism by the volume of the cubes.

Volume of a cube (V_cube) = side^3
V_cube = 2 cm * 2 cm * 2 cm = 8 cubic cm

Volume of the right rectangular prism (V_prism) = length * width * height
V_prism = 6 cm * 8 cm * 4.5 cm = 216 cubic cm

Now, divide the volume of the prism by the volume of the cubes:
Number of cubes = V_prism / V_cube = 216 cubic cm / 8 cubic cm = 27 cubes

Therefore, 27 cubes with side measures of 2 cm will fit inside the right rectangular prism.

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Hey there!

The answer is 13 boys and 16 girls.

We can do this by making an equation, using "x" to represent boys. Knowing there are 3 more boys than girls, we can set up the following equation:

(x + 3) + x = 29

NOTE: "x + 3" represents the number of girls, since there are 3 more girls than boys. "x" represents the number of boys. Now we can solve the equation:

x + 3 + x = 29

Add like terms:

2x + 3 = 29

Subtract 3 from both sides:

2x = 26

Divide both sides by 2:

x = 13

Therfore, there are 13 boys. To figure out girls, we simply add 3, giving us 16.

Have a terrificly amazing day! :D