Kendra has a painting canvas that is 30 inches wide by 37 inches high. She painted a red rose, which covered 30% of the canvas. What was the area of the canvas which was covered by the red rose?

y=10, hope that helps.

a. The probability of exactly 4 successes is approximately 0.2967.

b. The probability of 5 or more successes is approximately 0.5332.

c. The probability of exactly 6 successes is approximately 0.1399.

d. The expected value of the random variable is 3.96

To solve these problems, we'll use the binomial probability formula:

P(X = k) = C(n, k)× \(p^{k}\)× \((1-p)^{(n-k)}\)

where:

P(X = k) is the probability of getting exactly k successes,

n is the sample size,

p is the probability of success,

C(n, k) is the number of combinations of n items taken k at a time.

Now let's solve each part of the problem:

a. The probability of exactly 4 successes:

P(X = 4) = C(6, 4) × (0.66)⁴ × (1 - 0.66)⁽⁶⁻⁴⁾

C(6, 4) = 6! / (4! × (6 - 4)!) = 6! / (4! × 2!) = (6 × 5) / (2 × 1) = 15

P(X = 4) = 15 × (0.66)⁴ × (0.34)² ≈ 0.2967 (rounded to four decimal places)

b. The probability of 5 or more successes:

P(X ≥ 5) = P(X = 5) + P(X = 6)

P(X = 5) = C(6, 5) × (0.66)⁵ × (1 - 0.66)⁽⁶⁻⁵⁾ = 6 × (0.66)⁵ × (0.34)¹ ≈ 0.3933

P(X = 6) = C(6, 6) × (0.66)⁶ × (1 - 0.66)⁽⁶⁻⁶⁾ = 1 × (0.66)⁶× (0.34)⁰ = 0.1399

P(X ≥ 5) = P(X = 5) + P(X = 6) = 0.3933 + 0.1399 ≈ 0.5332 (rounded to four decimal places)

c. The probability of exactly 6 successes:

P(X = 6) = C(6, 6) × (0.66)⁶ × (1 - 0.66)⁽⁶⁻⁶⁾ = 1 × (0.66)⁶ × (0.34)⁰= 0.1399

d. The expected value of the random variable:

The expected value (mean) of a binomial distribution is given by:

E(X) = n × p

E(X) = 6 × 0.66 = 3.96

Therefore:

a. The probability of exactly 4 successes is approximately 0.2967.

b. The probability of 5 or more successes is approximately 0.5332.

c. The probability of exactly 6 successes is approximately 0.1399.

d. The expected value of the random variable is 3.96

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Depends if your dividing or Times

Step-by-step explanation: So,

I want to say it would be 1 But there is a Off And on question (Try Dividing )

Answer:

Read explanation

Step-by-step explanation:

I answered another one of your questions just like this in detail so I'll keep this one shorter.

Domain: (-∞, 0]

Range: (-3,∞)

x-intercept: Approximately -3.75

y=intercept: -3

The derivative of f(x) = cos(x² - x) is \(3(2x - 1)cos(x^{2} - x)sin(x^{2} - x).\)

To find the derivative of the function f(x) = cos(x² - x), we can use the chain rule.

The chain rule states that if we have a composite function, such as cos(g(x)), the derivative of this composite function is given by the derivative of the outer function multiplied by the derivative of the inner function.

In this case, the outer function is cos(u), where u = x² - x, and the inner function is u = x² - x.

The derivative of the outer function cos(u) is -sin(u).

To find the derivative of the inner function u = x² - x, we apply the power rule and the constant rule. The power rule states that the derivative of x^n, where n is a constant, is nx^(n-1), and the constant rule states that the derivative of a constant times a function is equal to the constant times the derivative of the function.

Applying the power rule and the constant rule, we find that the derivative of u = x² - x is du/dx = 2x - 1.

Now, using the chain rule, the derivative of f(x) = cos(x² - x) is given by:

df/dx = \(-sin(x^{2} - x) * (2x - 1)\)

Simplifying, we have:

df/dx = -\(2xsin(xx^{2} - x) + sin(x^{2} - x)\)

Therefore, the correct answer is option a. 3(2x-1)cos(x²-x)sin(x²-x).

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a) No, it is not a probability density function because f(x) is not greater than or equal to 0 for every x. Specifically, f(x) is negative for x < 0.

b) Yes, it is a probability density function. The function is always positive on [0, ln 2], and its integral from 0 to ln 2 is equal to 1.

c) No, it is not a probability density function because f(x) is not greater than or equal to 0 for every x. Specifically, f(x) is negative for x < 0, and its integral over its domain from -∞ to 0 is not equal to 1.

what is probability?

Probability is the measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In other words, probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given situation. It is used in a wide range of fields, including mathematics, statistics, physics, engineering, finance, and more, to make predictions and informed decisions based on uncertain or random events.

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Answer:A. h(t) = -16(t - 403)^2 + 3

B. h(t) = -16(t - 5)^2 + 3

C. h(t) = -16(t - 3)^2 + 403

D. h(t) = -16(t - 5)^2 + 403

Step-by-step explanation:

The time required for the shingles to reach the ground is approximately 2.02 seconds.

The time it takes for an object to fall freely under gravity depends only on the height from which it is dropped and not on its mass. This is known as the principle of equivalence or the principle of free fall. According to this principle, all objects, regardless of their mass, will experience the same acceleration due to gravity. In the case of the shingles, they are dropped from a height of 20.3 meters, so we can calculate the time it takes for them to reach the ground using the equation for free fall:

time = sqrt(2 * height / acceleration due to gravity)

Plugging in the values, we have:

time = sqrt(2 * 20.3 / 9.8) ≈ 2.02 seconds.

Now, let's consider the metal bucket, which is twice as heavy as the shingles. The mass of an object does not affect the time it takes to fall freely under gravity. Therefore, the result for the time would be the same for the metal bucket as it was for the shingles. The mass of the object only affects the force of gravity acting on it (weight), but not the time it takes to fall. Hence, both the shingles and the metal bucket would take approximately 2.02 seconds to reach the ground.

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6.The monthly inflation rate in November 2005 was approximately 9.94.

7. The positive inflation rate of 9.94%, we can conclude that the economy was experiencing inflation in November 2005.

The correct statement that describes the economy in November 2005 is: The economy was experiencing inflation, and the CPI was accelerating at that time.

According to the given model for the Consumer Price Index (CPI), the formula is I(t) = -0.063 - 0.81t + 3.1t^2 + 195.

To determine the monthly inflation rate in November 2005 (t = 4), we need to find the derivative of the CPI function with respect to time (t). The derivative represents the rate of change of the CPI over time.

Taking the derivative of the CPI function:

I'(t) = 2(3.1)t + (-0.81)

= 6.2t - 0.81

Substituting t = 4 into the derivative:

I'(4) = 6.2(4) - 0.81

= 24.8 - 0.81

= 23.99

The monthly inflation rate in November 2005 is given by the value of the derivative, which is 23.99.

Now, to determine the inflation rate as a percentage, we divide the monthly inflation rate (23.99) by the CPI at that time (I(4)) and multiply by 100:

Inflation rate = (23.99 / I(4)) * 100

Substituting t = 4 into the CPI function:

I(4) = -0.063 - 0.81(4) + 3.1(4)^2 + 195

= -0.063 - 3.24 + 49.6 + 195

= 241.297

Inflation rate = (23.99 / 241.297) * 100

= 9.94%

Therefore, the monthly inflation rate in November 2005 was approximately 9.94%.

Now let's analyze the economy based on this information:

6. According to the model, the monthly inflation rate in November 2005 was approximately 9.94%.

7. Based on the positive inflation rate of 9.94%, we can conclude that the economy was experiencing inflation in November 2005. Additionally, since the inflation rate (monthly CPI change) is positive (accelerating), we can conclude that the CPI was also accelerating at that time.

Therefore, the correct statement that describes the economy in November 2005 is: The economy was experiencing inflation, and the CPI was accelerating at that time.

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Answer:

Your Y-intercept is 4/3.

Step-by-step explanation:

The X intercept would be 0 and the Y intercept is 4/3, making the coordinate (0, 4/3).

To verify whether the languages of two regular expressions r and s are equal, we can follow these steps:

Construct the finite automata for r and s.

Convert both the finite automata to their corresponding deterministic finite automata (DFA).

Minimize the DFAs obtained in step 2.

Compare the minimized DFAs to check if they are equivalent.

If the DFAs are equivalent, then the languages of r and s are also equal.

Alternatively, we can directly compare the regular expressions r and s by using the following algorithm:

Convert both r and s to their equivalent minimal deterministic finite automata (DFA).

Construct the product DFA of the two DFAs obtained in step 1.

Check if the accepting states of the product DFA correspond to the same regular expressions in r and s.

If the accepting states correspond to the same regular expressions, then l(r) = l(s). Otherwise, l(r) ≠ l(s).

Note that the above algorithm may not be efficient for larger regular expressions, and in such cases, constructing the minimal DFAs may be a more practical approach.

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Answer:

B

Step-by-step explanation:

We always look original price for 1 or 100%, now increase 1/2, that is 50%

So now it is 100%+50%=150%

Answer:

1. 6

2. $1.63

3. 4.6

4. 32

5. 34n = 306

6. 3/8

Step-by-step explanation:

Answer:

Question 1: 6

Question 2: $1.63

Question 3: 4.6

Question 4: y = 18

Question 5: 34n = 306

Question 6: 3 over 8

Brainliest Plz :)

Answer:

Y=6/7

Step-by-step explanation:

Y=0.857142

Answer:

Step-by-step explanation:

2/9 cups of flour is required for baker if he use 1 cup of sugar.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that the baker is making cookies.

The recipe calls for 1/2 cups of flour and \(2\frac{1}{4}\) cups of sugar.

We need to find the flour required to baker for 1 cup of sugar.

Let us form a proportional equation.

x be the flour required for 1 cup of sugar.

\(2\frac{1}{4}\) /1/2=1/x

Apply cross multiplication

9/4x=1/2

Divide both sides by 9/4

x=1/2×4/9

x=2/9

Hence, 2/9 cups of flour is required for baker if he use 1 cup of sugar.

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Answer:

144 square foot

Step-by-step explanation:

Area of rectangle: Length × breadth

Area of rectangle = 16 × 9

                             = 144 square foot

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Answer:

Let's work to solve this system of equations:

y = 2x ~~~~~~~~\gray{\text{Equation 1}}y=2x        Equation 1y, equals, 2, x, space, space, space, space, space, space, space, space, start color gray, start text, E, q, u, a, t, i, o, n, space, 1, end text, end color gray

x + y = 24 ~~~~~~~~\gray{\text{Equation 2}}x+y=24        Equation 2x, plus, y, equals, 24, space, space, space, space, space, space, space, space, start color gray, start text, E, q, u, a, t, i, o, n, space, 2, end text, end color gray

The tricky thing is that there are two variables, xxx and yyy. If only we could get rid of one of the variables...

Here's an idea! Equation 111 tells us that \goldD{2x}2xstart color #e07d10, 2, x, end color #e07d10 and \goldD yystart color #e07d10, y, end color #e07d10 are equal. So let's plug in \goldD{2x}2xstart color #e07d10, 2, x, end color #e07d10 for \goldD yystart color #e07d10, y, end color #e07d10 in Equation 222 to get rid of the yyy variable in that equation:

\begin{aligned} x + \goldD y &= 24 &\gray{\text{Equation 2}} \\\\ x + \goldD{2x} &= 24 &\gray{\text{Substitute 2x for y}}\end{aligned}

x+y

x+2x

​

=24

=24

​

Equation 2

Substitute 2x for y

​

Brilliant! Now we have an equation with just the xxx variable that we know how to solve:

x+2x3x 3x3x=24=24=243=8Divide each side by 3

Nice! So we know that xxx equals 888. But remember that we are looking for an ordered pair. We need a yyy value as well. Let's use the first equation to find yyy when xxx equals 888:

\begin{aligned} y &= 2\blueD x &\gray{\text{Equation 1}} \\\\ y &= 2(\blueD8) &\gray{\text{Substitute 8 for x}}\\\\ \greenD y &\greenD= \greenD{16}\end{aligned}

y

y

y

​

=2x

=2(8)

=16

​

Equation 1

Substitute 8 for x

​

Sweet! So the solution to the system of equations is (\blueD8, \greenD{16})(8,16)left parenthesis, start color #11accd, 8, end color #11accd, comma, start color #1fab54, 16, end color #1fab54, right parenthesis. It's always a good idea to check the solution back in the original equations just to be sure.

Let's check the first equation:

\begin{aligned} y &= 2x \\\\ \greenD{16} &\stackrel?= 2(\blueD{8}) &\gray{\text{Plug in x = 8 and y = 16}}\\\\ 16 &= 16 &\gray{\text{Yes!}}\end{aligned}

y

16

16

​

=2x

=

?

2(8)

=16

​

Plug in x = 8 and y = 16

Yes!

​

Let's check the second equation:

\begin{aligned} x +y &= 24 \\\\ \blueD{8} + \greenD{16} &\stackrel?= 24 &\gray{\text{Plug in x = 8 and y = 16}}\\\\ 24 &= 24 &\gray{\text{Yes!}}\end{aligned}

x+y

8+16

24

​

=24

=

?

24

=24

​

Plug in x = 8 and y = 16

Yes!

​

Great! (\blueD8, \greenD{16})(8,16)left parenthesis, start color #11accd, 8, end color #11accd, comma, start color #1fab54, 16, end color #1fab54, right parenthesis is indeed a solution. We must not have made any mistakes.

Your turn to solve a system of equations using substitution.

Use substitution to solve the following system of equations.

4x + y = 284x+y=284, x, plus, y, equals, 28

y = 3xy=3xy, equals, 3, x

x =x=x, equals

y =y=y, equals

[Show solution]

Solving for a variable first, then using substitution

Sometimes using substitution is a little bit trickier. Here's another system of equations:

-3x + y = -9~~~~~~~ \gray{\text{Equation 1}}−3x+y=−9       Equation 1minus, 3, x, plus, y, equals, minus, 9, space, space, space, space, space, space, space, start color gray, start text, E, q, u, a, t, i, o, n, space, 1, end text, end color gray

5x + 4y = 32~~~~~~~ \gray{\text{Equation 2}}5x+4y=32       Equation 25, x, plus, 4, y, equals, 32, space, space, space, space, space, space, space, start color gray, start text, E, q, u, a, t, i, o, n, space, 2, end text, end color gray

Notice that neither of these equations are already solved for xxx or yyy. As a result, the first step is to solve for xxx or yyy first. Here's how it goes:

Step 1: Solve one of the equations for one of the variables.

Let's solve the first equation for yyy:

\begin{aligned} -3x + y &= -9 &\gray{\text{Equation 1}} \\\\ -3x + y + \maroonD{3x} &= -9 +\maroonD{3x} &\gray{\text{Add 3x to each side}} \\\\ y &= {-9 +3x} &\gray{\text{}}\end{aligned}

−3x+y

−3x+y+3x

y

​

=−9

=−9+3x

=−9+3x

​

Equation 1

Add 3x to each side

​

Step 2: Substitute that equation into the other equation, and solve for xxx.

\begin{aligned} 5x + 4\goldD y &= 32 &\gray{\text{Equation 2}} \\\\ 5x +4(\goldD{-9 + 3x}) &= 32 &\gray{\text{Substitute -9 + 3x for y}} \\\\ 5x -36 +12x &= 32 &\gray{\text{}} \\\\ 17x - 36 &= 32 &\gray{\text{}} \\\\ 17x &= 68 &\gray{\text{}} \\\\ \blueD x &\blueD= \blueD4 &\gray{\text{Divide each side by 17}}\end{aligned}

5x+4y

5x+4(−9+3x)

5x−36+12x

17x−36

17x

x

​

=32

=32

=32

=32

=68

=4

​

Equation 2

Substitute -9 + 3x for y

Divide each side by 17

​

Step 3: Substitute x = 4x=4x, equals, 4 into one of the original equations, and solve for yyy.

\begin{aligned} -3\blueD x + y &= -9 &\gray{\text{The first equation}} \\\\ -3(\blueD{4}) +y &= -9 &\gray{\text{Substitute 4 for x}} \\\\ -12 + y &= -9 &\gray{\text{}} \\\\ \greenD y &\greenD= \greenD3 &\gray{\text{Add 12 to each side}} \end{aligned}

hope this helps

Answer: \(12\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

20 is one third of a number:   (1/3)X = 20

                                                            X = 60

But then I can't interpret ". . . the result is the double of the number."

This may or may not mean 2*(60) = 120

In the given case, Matthew would have a negative z score and John would have a positive z score.

A z-score is a measurement of how far an observation or data point is from the distribution's mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative. Therefore, it is possible that John's z-score would be positive, showing that he is taller than the average for his age group if he is one of the tallest children in his class at the age of 7.

In contrast, if 12-year-old Matthew is among the smallest students in his class, it is likely that his z-score will be negative, suggesting that he is shorter than the norm for his age group. Therefore, John would have a positive z-score but Matthew would have a negative one if he is shorter than average for his age group.

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Using trend-adjusted exponential smoothing with alpha = 0.1 and beta = 0.2, the forecast for the architectural firm's August income is $94.92 thousand dollars. The mean squared error (MSE) for this forecast is 2.12 \((thousand dollars)^2\).

Trend-adjusted exponential smoothing combines exponential smoothing with a trend adjustment factor. The forecast for a given period is calculated based on the previous forecast and the previous trend value. In this case, the initial forecast for February is given as $85.0 thousand dollars, and the initial trend adjustment is 0.

To calculate the forecast for each month, we use the following formulas:

Level forecast = Previous level forecast + Previous trend adjustment

Trend forecast = Previous trend forecast + Beta * (Current level forecast - Previous level forecast)

Forecast for next period = Level forecast + Trend forecast

Using these formulas, we can calculate the forecasts for each month from February to July. Then, for August, we can apply the trend adjustment formula using the previous level forecast and trend forecast. The resulting forecast for August is $94.92 thousand dollars.

The mean squared error (MSE) is a measure of the accuracy of the forecast. It is calculated by taking the average of the squared differences between the actual income values and the forecasted values. In this case, the MSE for the forecast developed using trend-adjusted exponential smoothing is 2.12 \((thousand dollars)^2\). A lower MSE indicates a better fit between the forecast and the actual data.

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Answer:

correct answer is A i thik so

Angle 1 - 60 degrees

Angle 2 - 30 degrees

Angle 3 - 60 degrees

Angle 4 - 30 degrees

Answer:

4 sq units

Step-by-step explanation:

2 un x 2 un = 4 sq uints

To find the value of the car after 30 months, we first need to convert 30 months to years by dividing by 12:

30 months ÷ 12 months/year = 2.5 years

Now we can plug in the given values into the formula:

V = C - Crt
V = $44,085 - ($44,085)(0.13)(2.5)

Simplifying the equation:

V = $44,085 - $7,207.73

V = $36,877.27

Therefore, the value of the car after 30 months would be $36,877.27.

The formula for linear depreciation is V = C - Crt, where V is the value of the item after t years, C is the original cost, and r is the rate of depreciation expressed as a decimal. This formula assumes that the item depreciates at a constant rate each year.

To find the value of the car after 30 months, we need to convert the time to years by dividing by 12. This is because the rate of depreciation is given as a percentage per year, so we need to express the time in years to use the formula. After plugging in the given values, we simplify the equation to find the value of the car after 30 months.
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There will be a population of 2,097,152 rabbits after 5 years.

A form of growth known as exponential growth occurs when a quantity's rate of expansion is proportionate to its present value. In other words, a quantity expands more quickly the greater it is. A prime example of exponential expansion is the rabbit population, which doubles in size every three months.

Given that, population of rabbits is doubling every 3 months.

That is,

5 years = 5 x 12 = 60 months

Number of doublings = 60 / 3 = 20

For every doubling, the population will be twice as large.

Thus,

P = 2 x 2²⁰ = 2 x 1,048,576 = 2,097,152 rabbits

Therefore, there will be approximately 2,097,152 rabbits after 5 years.

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