A 10-lb bag of flour costs $3.69. A 5-lb bag costs $1.55. How much can you save if you buy the big bag instead of 2 small bags?​

Answer:

c hope it helps

plz mark me as brainliest

Step-by-step explanation:

The number of solutions the system of equations have is (a) one solution

From the question, we have the following parameters that can be used in our computation:

y = x + 2

2y = 5x + 4

Multiply the first by 2

So, we have

2y = 2x + 4

2y = 5x + 4

Subtract the equations

So, we have

3x = 0

Evaluate

x = 0

The above equation is true

This means that the number of solutions in the equation is (a) one

i.e. one solution

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The probability that four or less adults exercise regularly out of 11 randomly selected adults is approximately 0.9824.

This problem can be solved using the binomial distribution, since we are interested in the probability of a certain number of successes (adults who exercise regularly) in a fixed number of trials (selecting 11 adults randomly).

Let X be the number of adults who exercise regularly out of 11. Then X has a binomial distribution with parameters n = 11 and p = 0.25, since the probability of success (an adult who exercises regularly) is 0.25.

We want to find the probability that four or less adults exercise regularly, which is equivalent to finding the probability of X ≤ 4. We can use the binomial cumulative distribution function to calculate this probability:

P(X ≤ 4) = Σ P(X = k), for k = 0, 1, 2, 3, 4

Using a calculator, spreadsheet software, or a binomial probability table, we can find the probabilities for each value of k, and then add them up to get the cumulative probability:

P(X = 0) = (11 choose 0) * (0.25)^0 * (0.75)^11 = 0.0563

P(X = 1) = (11 choose 1) * (0.25)^1 * (0.75)^10 = 0.2015

P(X = 2) = (11 choose 2) * (0.25)^2 * (0.75)^9 = 0.3159

P(X = 3) = (11 choose 3) * (0.25)^3 * (0.75)^8 = 0.2747

P(X = 4) = (11 choose 4) * (0.25)^4 * (0.75)^7 = 0.1340

P(X ≤ 4) = 0.0563 + 0.2015 + 0.3159 + 0.2747 + 0.1340 = 0.9824

Therefore, the probability that four or less adults exercise regularly out of 11 randomly selected adults is approximately 0.9824.

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The total amount of revenue generated by the store's CD sales on April 18 is 21,144.2.

To find the total amount of revenue generated by the store's CD sales on April 18, we need to calculate the product of the number of CDs sold and the price per CD on that day.

First, let's find the number of CDs sold on April 18. We are given the function n(d) = 12d + 35, where d represents the number of days since April 8. Since we want to find the number of CDs sold on April 18, we substitute d = 18 into the function:

n(18) = 12(18) + 35
n(18) = 216 + 35
n(18) = 251

So, the store sold 251 CDs on April 18.

Next, we need to find the price per CD on April 18. We are given the function p(d) = 0.3d^2 - d + 5. Substituting d = 18 into the function:

p(18) = \(0.3(18)^2 - 18 + 5\)
p(18) = 0.3(324) - 18 + 5
p(18) = 97.2 - 18 + 5
p(18) = 84.2

So, the price per CD on April 18 is $84.2.

To find the total amount of revenue generated, we multiply the number of CDs sold by the price per CD:

Revenue = Number of CDs sold * Price per CD
Revenue = 251 * 84.2

Calculating this product, we find that the total amount of revenue generated by the store's CD sales on April 18 is 21,144.2.

In conclusion, the total amount of revenue generated by the store's CD sales on April 18 is 21,144.2.

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The average speed can be calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, Marjorie's average speed can be calculated by dividing the distance from her house to school (2 miles) by the time it takes her to get there (20 minutes).

To convert minutes to hours, we need to divide the minutes by 60. So, 20 minutes is equal to 20/60 = 0.33 hours.

Next, we divide the distance (2 miles) by the time in hours (0.33 hours) to find Marjorie's average speed:

2 miles / 0.33 hours = 6 miles/hour

Therefore, Marjorie's average speed is 6 miles per hour, making the correct answer (c) 60 mi/h.

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If a person is chosen at random, the empirical probability that the person approves of the job the president is doing or is independent is approximately 0.329.

A survey of 452 people obtained the following data. The respondents were asked about their political party and whether they approve, disapprove, or have no opinion on how the president is doing his job.

We are required to find the empirical probability that the person approves of the job the president is doing or is independent when a person is chosen at random. In this case, we need to calculate the probability of (Approve + Independent) for any political party.

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Answer:

Im a little confused on what your asking but for 0.4 as a decimal is 0.4,for a fraction 0.4 is 2/5 and for a percent 0.4 is 40%

Step-by-step explanation:

I hope this helps!!

Answer:41/60

Step-by-step explanation:

3/5 and 4/7 can also be expressed as 21/30 and 20/30 respectively.

(7 and 5 have a common multiple of 30) if you multiply both of these by 2/2 (aka 1) then you get 42/60 and 40/60 respectively.

In between these 2 fractions is 41/60.

Answer:

24

Step-by-step explanation:

plz mark brainly

Answer:

40 cm

Step-by-step explanation:

divide the length value by 10

400 / 10 = 40

Answer:

400 mm = 40 cm

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Hi, to answer this question we have to add Brett's and Irwin's meters of fabric and compare:

1 3/4 + 3/2 = (4(1)+3)/4 + 3/2 = 7/4 + 3/2 = 7/4 + 3(2)/2(2) = 7/4 +6/4 =13/4 m

Total meters of fabric available = 23/6m = 3.25m (in decimal form)

Meters of fabric needed = 2 1/2 = 5/2 = 2.5  m

Since the meters available are greater than the meters needed:

3.25> 2.5

They have enough fabric.

Answer:

yessir

Step-by-step explanation:

yesyesyesyesyesyesyesyesyessssssss

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Answer:

h(x) = 12x² - 6x

or

Option 2

Step-by-step explanation:

Area of a Triangle Formula: A = 1/2bh

Since we have b and h, simply plug it in:

1/2(2x)(12x - 6)

Simplify:

x(12x - 6)

h(x) = 12x² - 6x

Answer: Figure D

Figure D is a 180 degree rotation of figure A.

Answer:

31 is the missing angle

Step-by-step explanation:

Right Angle = 90 degrees

90 - 59 = 31 degress

Answer: 90 degrees

Step-by-step explanation: Each of these angles are at 90 degrees since there is a square box at each of their second points.

The side TU of the right triangle is 156.15 metres and the area of the triangle is  6168.07 metres squared.

The side GH of the right triangle is 182.33 metres and the area of the triangle is  8934.27 metres².

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The missing side of the right triangle can be found using Pythagoras's theorem.

Therefore,

a² + b² = c²

where

The area of the right triangle can be found using the formula as follows:

area of a triangle = 1 / 2 bh

where

Hence,

1.

TU² = 175² - 79²

TU² = 30625 - 6241

TU² = 24384

TU = √24384

TU = 156.153770368

TU = 156.15 metres

Area = 1 / 2 × 156.15 × 79

area = 6168.07392952

area = 6168.07 metres squared

2.

GH² = 207² - 98²

GH² = 42849 - 9604

GH = √33245

GH = 182.33211456

GH = 182.33 metres

Area of the triangle  = 1 / 2 × 98 × 182.33

Area of the triangle  = 8934.27361345

Area of the triangle  = 8934.27 metres²

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Answer:

10

Step-by-step explanation:

Answer:

r = -8

Step-by-step explanation:

So we are given the equation:

6r = 16 + 8r

and we have to solve the equation. We would do this by solving for the variable r in the equation.

6r = 16 + 8r

Subtract 8r from both sides.

-2r = 16

Divide both sides by -2.

r = -8

So the solution to the equation would be r = -8.

I hope you find my answer and explanation to be helpful. Happy studying.

After getting the result we can conclude that the power of 0.8 and α=0.05, the number of observations required in each sample is 2064.

A/B testing is the process of comparing two versions of a web page, email, or any other marketing asset to see which one performs better. In this scenario, we are supposed to detect a difference of $0.094 between two online ads. The standard deviation of the response (sales) is $103.77.

To calculate the number of observations we need for the A/B test, we will need the following parameters:

α (significance level) = 0.05, which means we have a 5% chance of making an error (rejecting a true null hypothesis).

Power (1 – β) = 0.8, which means we have an 80% chance of detecting a difference if it exists.

Standard deviation (σ) = $103.77

Difference in means (d) = $0.094

Formula to calculate the number of observations required for each sample in A/B test:

n = [(Zα/2 + Zβ) / d] ² (2σ²)

Here, Zα/2 and Zβ are the standard normal distribution values of α/2 and β, respectively. We can find these values using the z-table or calculator.

Zα/2 = 1.96 (for α = 0.05) Z β = 0.84 (for β = 0.2) Now, let's plug in all the values and solve for n:

n = [(1.96 + 0.84) / 0.094] ² (2 $103.77²) n = 2063.22

We need at least 2064 observations in each sample for the A/B test.

After getting the result we can conclude that the power of 0.8 and α=0.05, the number of observations required in each sample is 2064.

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a. the cross-correlation sequence is: ry[n] = {1.15, -6.54, -3.85, 34.62, 12.77}

b. the Lp-norm of q[n] when p = 2 is 2.03 (approx).

c. the poles of H(z) are located at z = 0.57, 0.9, and 0.625

a) Evaluation of the cross-correlation sequence, rₙ, between the two sequences, xₙ and yₙ, are shown below:

Let's solve for rₙ using the given formulas for the sequences xₙ and yₙ.rₙ = Σ x[k] y[k+n] ...(1)Here, xₙ = {5eⁿ, -e, en, -e⁻¹, 2e⁻¹} and yₙ = {6eⁿ, -en, 0, -2en, 2en} for -2 ≤ n ≤ 2.r₀ = Σ x[k] y[k+0] = 5e⁰ * 6e⁰ + (-e) * (-e) + e⁰ * 0 + (-e⁻¹) * (-2e⁻¹) + 2e⁻¹ * 2e⁻¹ = 34.62r₁ = Σ x[k] y[k+1] = 5e⁰ * 6e¹ + (-e) * (-e⁰) + e¹ * 0 + (-e⁻¹) * (-2e⁻²) + 2e⁻¹ * 0 = 12.77r₂ = Σ x[k] y[k+2] = 5e⁰ * 6e² + (-e) * (-e¹) + e² * 0 + (-e⁻¹) * 0 + 2e⁻¹ * (-2e⁻³) = -3.85r₋₁ = Σ x[k] y[k-1] = 5e⁰ * (-e¹) + (-e) * 0 + e⁻¹ * (-en) + (-e⁻¹) * 0 + 2e⁻¹ * 2e⁻² = -6.54r₋₂ = Σ x[k] y[k-2] = 5e⁰ * (-2e⁻²) + (-e) * (-2e⁻³) + e⁻² * 0 + (-e⁻¹) * (-en) + 2e⁻¹ * 0 = 1.15

Therefore, the cross-correlation sequence is: ry[n] = {1.15, -6.54, -3.85, 34.62, 12.77}

(b) The given qₙ is as follows:q[n] = x[n] + jy[n]

To determine the conjugate symmetric part of qₙ, let's first find the conjugate of qₙ and subtract it from qₙ.q*(n) = x*(n) + jy*(n)q[n] - q*(n) = x[n] - x*(n) + j(y[n] - y*(n))

However, the sequences xₙ and yₙ are all real. Therefore, q*(n) = x(n) - jy(n).So, q[n] - q*(n) = 2jy[n].

The conjugate symmetric part of q[n] is the real part of (q[n] - q*(n))/2j = y[n].Hence, the conjugate symmetric part of q[n] is y[n].

Now, let's calculate the Lp-norm of q[n] when p = 2.Lp-norm of q[n] when p = 2 is defined as follows: ||q[n]||₂ = (Σ |q[n]|²)¹/²= (Σ q[n]q*(n))¹/²= (Σ |x[n] + jy[n]|²)¹/²Here, q[n] = x[n] + jy[n].||q[n]||₂ = (Σ (x[n] + jy[n])(x[n] - jy[n]))¹/²= (Σ (x[n]² + y[n]²))¹/²= (25 + 1 + e² + e⁻² + 4e⁻²)¹/²= 2.03 (approx)

Therefore, the Lp-norm of q[n] when p = 2 is 2.03 (approx).

(c) The input to the system is x[n].

Therefore, let's write the input-output equation for an IIR LTI system:y[n] = 1.57y[n-1] - 0.81y[n-2] + x[n] - 1.18x[n-1] + 0.68x[n-2]Now, let's find the transfer function, H(z) of the system using the Z-transform.

The Z-transform of the input-output equation of the system is:Y(z) = H(z) X(z) ...(1)where X(z) and Y(z) are the Z-transforms of x[n] and y[n], respectively.

Substituting the given input-output equation, we get:Y(z) = (1 - 1.18z⁻¹ + 0.68z⁻²) H(z) X(z)Y(z) - (1.57z⁻¹ - 0.81z⁻²) H(z) Y(z) = X(z)H(z) = X(z) / (Y(z) - (1.57z⁻¹ - 0.81z⁻²) Y(z)) / (1 - 1.18z⁻¹ + 0.68z⁻²)H(z) = X(z) / (1 - 1.57z⁻¹ + 0.81z⁻²) / (1 - 1.18z⁻¹ + 0.68z⁻²)

Now, let's factorize the denominators of the transfer function H(z).H(z) = X(z) / (1 - 0.57z⁻¹) / (1 - 0.9z⁻¹) / (1 - 0.625z⁻¹)

Therefore, the poles of H(z) are located at z = 0.57, 0.9, and 0.625.

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Answer:

11) y= -1x-2

12) y= 3/2x+3

13) y= 3x-2

14) y= 3/4x+1

15) y= 1/2x+1

16) y= -2/5x+0

17) y=7x+2

18) y= 4/3x-4

Step-by-step explanation:

y=mx+b

m is slope and b is y intercept

Answer: 4 =division 5=multiplication6=subsitution

Step-by-step explanation:

Simple rules

Answer:

Step-by-step explanation:

The amount that Carl will receive after 3 years is $ 27,146.49 when he invested $ 1220 at 9 % compound interest monthly.

We are given that:

Principal amount = P = $ 1,220

Compound interest rate = r = 9 % monthly

Time = 3 years = 3 × 12 months = 36 months.

The amount after 3 years will be given by:

Amount = 1,220 ( 1 + 0.09)³⁶

Amount = 1,220 ( 1.09 )³⁶

Amount = 1220 ( 22.25 )

Amount = $ 27,146.49

Therefore, we get that, the amount that Carl will receive after 3 years is $ 27,146.49 when he invested $ 1220 at 9 % compound interest monthly.

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The lines are perpendicular lines

Equations are expressions that are represented with the equality "=" sign

The equations are given as:

Make y the subject of formula in both equations

\(y = x + 13\)

\(y = -x + 3\)

By comparing the slopes of both lines, we have:

\(1 \times -1 = -1\)

The above equation means that:

The slopes of both lines are opposite reciprocal

Hence, the lines are perpendicular lines

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To write the equation in standard form for the circle passing through (–2, 4) centered at the origin, we need to find the radius and the center of the circle.

Since the circle passes through (–2, 4), we can use the distance formula to find the radius, which is the distance from the origin to (–2, 4).

The distance formula is given by:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, x1 = 0, y1 = 0, x2 = –2, and y2 = 4. So, the radius is:

radius = sqrt((-2 - 0)^2 + (4 - 0)^2) = sqrt(20) = 2sqrt(5)

The center of the circle is the origin, since the circle is centered at the origin. Therefore, the equation of the circle in standard form is:

x^2 + y^2 = (2sqrt(5))^2 = 20

So, the equation of the circle passing through (–2, 4) centered at the origin is x^2 + y^2 = 20.

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Answer:

$7.488 or $7.49 (rounded)

Step-by-step explanation:

In order to find the amount of money at the end of 4 years, you have the find the amount of money after one year. So, the first step is to multiply 6.24 by .05 to get the percent gained in one year. This is .312. Then, you multiply the amount from the first year by four, for the other years, and get 1.248. That is how much you will earn in four years. Now, to get the total of all the money in the bank account after four years, you add 1.248 to 6.24. This sums up to 7.488 which is your answer. Hope this helps :)

Answer:

Hi! I'm pretty sure the question is: Two cities are 45 miles apart. Two trains, with speeds of 70 mph and 60 mph, leave the two towns at the same time so that one is catching up to the other. How long after the trains leave will they be 10 miles apart for the first time? How long after the trains leave will they be 10 miles apart for the second time?

I have had a similar question before, and I will answer yours. :)

Step-by-step explanation:

T1 - the time the trains are moving to each other.

For time T1, the first train will go the distance of 70*t.

The second train, for time t, will go the distance 60*t.

Both for time t1  - 70t+60(t1) =  (70+60)*(t1).

45 - (70+60)*t is the distance between trains that left after t hours.

For the first time, they will be 10 miles apart when they are moving into each other

45 - (70+60)*t = 10

45-10 = (70+60)*t

35 = 130*t

t=35/130 h =7/26 h = 0.27 h

The train meets when distance = 0

45 - (70+60)*t = 0

45 = 130t

t  =45/130 h = 9/26 h = 0.35 h when trains met.

Trains began to move apart from each other after 9/26 h moving,

After t2 time trains will be (70+60)*(t2) = 130*(t2) mi apart from each other.

130*(t2) =  10

t2 = 1/13h = 0.08h after they met, they are apart from each other 10 mi.

So after the beginning of the movement, it will be time when they met + time when they were moved  10 mi apart from each other

9/26 h+1/13h = 11/26 h = 0.42 h