HELPPP Put the steps to solving the equation in the correct order
3 (x + 5) – 6x = -18

Answer:

Step-by-step explanation:

Answer:

Supplementary

Step-by-step explanation:

The estimated probability of finding at most 50 acceptable circuits in a batch of 60 is approximately 0.6591.

To estimate the probability of finding at most 50 acceptable circuits in a batch of 60 from a certain factory, where the probability of passing the quality test is (p = 0.8) and the outcomes of the tests are mutually independent, we can use the Central Limit Theorem (CLT).

The CLT states that for a large enough sample size, the distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Let's denote (X) as the number of acceptable circuits in a batch of 60. Since each circuit passes the test with a probability of 0.8, we can model (X) as a binomial random variable with parameters (n = 60) and (p = 0.8).

To estimate the probability of finding at most 50 acceptable circuits, we can calculate the cumulative probability using the normal approximation to the binomial distribution.

Since the sample size is large \((\(n = 60\))\), we can approximate the distribution of (X) as a normal distribution with mean \(\(\mu = np = 60 \times 0.8 = 48\)\) and standard deviation \(\(\sigma = \sqrt{np(1-p)}\) = \(\sqrt{60 \times 0.8 \times 0.2} \approx 4.90\).\)

Now, we want to find the probability of\(\(P(X \leq 50)\)\). We can standardize the value using the z-score:

\(\[P(X \leq 50) = P\left(\frac{X - \mu}{\sigma} \leq \frac{50 - 48}{4.90}\right) = P(Z \leq 0.41)\]\)

Using the standard normal distribution table or calculator, we can find that \(\(P(Z \leq 0.41) \approx 0.6591\).\)

Therefore, the estimated probability of finding at most 50 acceptable circuits in a batch of 60 is approximately 0.6591.

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The given product sin(4x)cos(2x) can be expressed as a sum or difference containing only sines or cosines. By using the trigonometric identity for the sine of the sum or difference of angles.

To express sin(4x)cos(2x) as a sum or difference containing only sines or cosines, we can utilize the trigonometric identity:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B).

In this case, we can rewrite sin(4x)cos(2x) as:

sin(4x)cos(2x) = (sin(2x + 2x) + sin(2x - 2x)) / 2.

Simplifying further, we have:

sin(4x)cos(2x) = (sin(4x) + sin(0)) / 2.

Since sin(0) is equal to 0, we can simplify the expression to:

sin(4x)cos(2x) = sin(4x) / 2.

Therefore, the given product sin(4x)cos(2x) can be expressed as a sum or difference containing only sines or cosines as sin(4x) / 2.

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Answer:

16 people out of 80 people are right handed.

Step-by-step explanation:

Answer:

3: 14

4: 2/25

Step-by-step explanation:

Answer:

Simplified: 2x/15 + 5y/8

Step-by-step explanation:

Simplify the expression.

Answer:

Answer: 2x/15 + 5y/8

Step-by-step explanation:

Just Simplify the expression dude.

Answer:

14%

Step-by-step explanation:

To find the percentage change of any two amounts you just need this formula: (new - old) ÷ old

New price = $2.45

Old price = $2.15

2.45 = 2.15 = 0.3

0.3 ÷ 2.15 = 0.139534883721

This would make the percentage increase = %13.9534883721

But the question wants it rounded to the near tenth, so it's %14

Answer:

13.9535% increase, so yeah, like, 14%

Step-by-step explanation:

Answer: so you do length times width times height and then you divide by two

Step-by-step explanation:

Answer:

y = -3/4x + 9

Step-by-step explanation:

first, find the slope by taking the difference of the y-values / difference of the x-values

(-3-12) / (16-(-4)) which equals -15/20 or -3/4

now use that value to represent the 'm' in the formula in order to find 'b'

y = mx + b

-3 = -3/4(16) + b

-3 = -12 + b

9 = b

y = -3/4x + 9

Answer:

30%

Step-by-step explanation:

Omar went shopping for a new video game because of a sale. The price on the tag was $37, but Omar paid $25.90 before tax. Find the percent discount.

(37 - 25.9)/37 = 0.3 or 30% discount

check:

70% of $37 = $25.90

By evaluating the integrals and using the appropriate limits of integration, we can find the x and y coordinates of the centroid point.

To find the centroid for the area defined by the equations y=2x+4 and y=(2x−3)2+1, we need to calculate the coordinates of the centroid point. The centroid represents the center of mass of the area.

To find the centroid, we first need to determine the limits of integration by finding the points of intersection between the two curves. Setting the two equations equal to each other, we have:

2x + 4 = (2x - 3)^2 + 1

Simplifying the equation, we get:

(2x - 3)^2 - 2x - 3 = 0

Solving this quadratic equation, we find the two points of intersection, which are the limits of integration.

Once we have the limits of integration, we can proceed to calculate the centroid using the formulas:

x = (1/A) ∫[a,b] x f(x) dx

y = (1/A) ∫[a,b] (f(x))^2 dx

where A represents the area of the region, and x and f(x) are the coordinates of the points on the curves.

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Answer:

The answer is 1.5

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 7 = 5x - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 5x = - 4 + 7 \\ \: 2x = 3\\x = \frac{3}{2} \\ x = 1.5\)

i hope so..

Answer:

Center ( 4 , -2) and r = 6

Step-by-step explanation:

x² - 8x + y² + 4y - 16 = 0

x² - 8x  + y² + 4 y = 16

x²- 2*4x + y² + 2 *2y = 16

(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16

(x - 4)² + (y + 2)² = 16 + 16 + 4

(x - 4)² + (y -[-2])² = 36

(x- 4)² + ( y - [-2] )² = 6²

Compare with (x - h)²+ (y - k)² = r²

Center ( 4 , -2) and r = 6

To find the general solution of the system x' = 10 −5 8 −12 x, we first need to find the eigenvalues and eigenvectors of the coefficient matrix.

The characteristic equation is det(A - λI) = 0, where A is the coefficient matrix, λ is the eigenvalue, and I is the identity matrix. So, we have:

det(10-λ -5 8 -12-λ) = 0
(10-λ)(-12-λ) - (-5)(8) = 0
λ\(^2\) - 2λ - 64 = 0
(λ - 8)(λ + 8) = 0
λ1 = 8, λ2 = -8

Next, we need to find the eigenvectors corresponding to each eigenvalue. For λ1 = 8, we have:

(10-8)x1 - 5y1 + 8z1 = 0
-5x1 + (8-8)y1 + 8z1 = 0
8x1 + 8y1 + (-12-8)z1 = 0

Simplifying the system, we get:

2x1 - y1 + 4z1 = 0
-5x1 = 0
8x1 + 8y1 - 20z1 = 0

Solving for x1, y1, and z1, we get:

x1 = 0
y1 = 0
z1 = t

So, the eigenvector corresponding to λ1 = 8 is [0, 0, t].

For λ2 = -8, we have:

(10+8)x2 - 5y2 + 8z2 = 0
-5x2 + (8+8)y2 + 8z2 = 0
8x2 + 8y2 + (-12+8)z2 = 0

Simplifying the system, we get:

18x2 - 5y2 + 8z2 = 0
-5x2 + 16y2 + 8z2 = 0
8x2 + 8y2 - 4z2 = 0

Solving for x2, y2, and z2, we get:

x2 = 2t
y2 = 5t
z2 = -2t

So, the eigenvector corresponding to λ2 = -8 is [2t, 5t, -2t].

Now that we have the eigenvalues and eigenvectors, we can write the general solution as:

\(x(t) = c1[0, 0, t]e^{(8t)} + c2[2t, 5t, -2t]e^{(-8t)}\)
where c1 and c2 are constants determined by initial conditions.

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She cannot draw an array of 17 counters with three rows.

The given parameters are:

Counter = 17

Rows = 3

An array is represented as:

Array = Rows * Columns

Where Rows and Columns are integers greater than 0

So, we have

3 * Column = 17

Divide by 3

Column = 5.667

Recall that Rows and Columns are integers greater than 0

This means that she cannot draw an array of 17 counters with three rows.

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Step-by-step explanation:

c. h= p/(mg)

HOPE it helps

Simplify the inequality for v.

So answer is,

The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.

To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)

Setting \(\(f(x) = 0\),\) we have:

\(\[2(x^2+3)(x+1)^2 = 0\]\)

Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:

1. \(\(x^2 + 3 = 0\):\)

  This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.

2. \(\(x + 1 = 0\):\)

  Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.

Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.

Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.

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Given: The vessel M/V Willardo is slated to transport 4,000 containers on August 20, 2021. The vessel is expected to travel a distance of 1876 Nautical Miles from Port-au-Prince, Haiti to Port Oranjestad, Aruba.

The vessel is expected to travel at a speed of 23 knots.

The expected departure time from Port-au-Prince is 2359 hrs. On arrival, free pratique was not granted until 30 minutes after docking.

4 cranes were assigned to the discharging operation, productivity of each crane:

A, B, C & D handles 25, 20, 18, 35 containers per hour respectively.

For 8 hours, cranes A & C were only deployed to the discharging operation.It rained for 2 hours which cause operations to be at a standstill, after which all the 4 cranes were deployed to finish the job. The Pilot to sail her out came 10 minutes late after operations were completed.The vessel is expected to travel to Kingston Freeport Terminal (KFTL), Jamaica, 2,672 Nautical Miles away at a speed of 17 knots to load another set of containers.To calculate the ETA of M/V Willardo to KFTL from Port Oranjestad, the total time taken to cover the distance between Port Oranjestad and KFTL should be divided by the speed of the vessel. The total distance to be covered is 2672 Nautical miles.Using the formula:

Time = Distance ÷ Speed

The time taken to cover 2672 Nautical miles at 17 knots speed:

Time = 2672 ÷ 17 = 157.18 hours

The time taken for discharging is as follows:

For the first 8 hours, cranes A and C were deployed to the discharging operation. Cranes A and C have productivity of 25 and 18 containers per hour respectively.So, total containers handled by these cranes in the first 8 hours = 8 * (25 + 18) = 232

The remaining containers to be unloaded = Total containers - containers unloaded by cranes A and C= 4000 - 232= 3768

The productivity of crane B and D are 20 and 35 containers per hour respectively.So, the total productivity of all

4 cranes = 25 + 20 + 18 + 35 = 98 containers per hour.

Time taken to complete unloading of remaining containers

= (3768 ÷ 98)

= 38.45 hours

Total time lost due to rain and late pilot arrival

= 2.16 + 0.16

= 2.32 hours.

Using this total time in the calculation of the ETA to KFTL:

ETA to KFTL from Port Oranjestad= Time for unloading + Time lost due to rain and late pilot arrival+ Time taken from free pratique to the commencement of unloading+ Time taken from Port-au-Prince to Port Oranjestad+ Time taken from Port Oranjestad to KFTL.

ETA to KFTL from Port Oranjestad

= 38.45 + 2.32 + 0.5 + (1876 ÷ 23) + (2672 ÷ 17)

= 113.1 hours. Therefore, the ETA of M/V Willardo to KFTL from Port Oranjestad after completing cargo operations is 113.1 hours.

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Answer:

The answer is 8 1/2 if simplified if not simplified the answer is 8 3/6

Step-by-step explanation:

You are supposed ti and the whole number 5 and 3 and you multipy 2 to the denominator and the numorator to make it 2/6 + 1/6 which then you and the numorators 2 and 1 to get 3 and you leave the denominator alone. Hope this helps.

Answer:

C. 39/48 = 81%

Step-by-step explanation:

To determine the percentage of females who only said they like cats using the given two-way table, we need to find the number of females who selected "cats" only and divide it by the total number of females surveyed. We can then multiply the result by 100 to get the percentage.

According to the provided two-way table:

Number of females who only said they like cats = 39

Total number of females surveyed = 48

To calculate the percentage:

Percentage of females who only said they like cats = (Number of females who only like cats / Total number of females surveyed) * 100

Percentage of females who only said they like cats = (39 / 48) * 100 ≈ 81.25%

Therefore, the correct option is:

C. 39/48 = 81%

The length of the second parallelogram is 2 cm.

What are parallelograms ?
A parallelogram is a quadrilateral with opposite sides parallel and equal in length. It has two pairs of parallel sides and opposite angles are equal. Some common properties of parallelograms include:

According to the question:
To solve for x, we need to use the fact that opposite sides of a parallelogram are equal in length.

For the first parallelogram, we know that the width is 4 cm and the length is 6 cm. Therefore, the opposite side lengths are also 4 cm and 6 cm.

For the second parallelogram, we know that the width is 6 cm. Since the opposite sides are equal in length, the length of the parallelogram must be x cm.

So, we have:

Width of first parallelogram = Width of second parallelogram

4 cm = 6 cm

Length of first parallelogram = Length of second parallelogram

6 cm = x cm

Simplifying the first equation, we get:

2 cm = x

Therefore, the length of the second parallelogram is 2 cm.

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Answer:

3.25

Step-by-step explanation:

Answer:

3.25

Step-by-step explanation:

through ling division, the answer is 3.25.

Answer: 6 pieces

Step-by-step explanation:

3/5= 6/10

\(\frac{6}{10} / \frac{1}{10}= 6\)

Answer:

Option 2 is a representation of independent events.

In option 2, the simulation involves randomly pulling a piece of hard candy out of a bag and eating it, then pulling out another piece. The act of pulling out one piece of candy does not affect the probability of pulling out another piece, as each piece is independent of the others.

In contrast, the other simulations involve dependent events. In option 1, the probability of selecting a slip of paper changes after each selection because the slips of paper are not replaced. In option 3, the probability of getting a certain outcome on the second spin is influenced by the outcome of the first spin. In option 4, the probability of selecting a certain card for the second draw is affected by which card was selected and removed from the deck in the first draw.

Step-by-step explanation:

We are given the relationship:

a. It's required to find a relationship where r is a function of t. To do that, we need to solve the equation for r.

Subtract 4t:

Divide by 7:

b. We use the function found in part a and evaluate it for t=-7:

Thus, f(-7) = 6

c. Solve f(t) = 18

Again, we use the function from part a and solve the equation:

Multiplying by 7:

Subtract 14 and then divide by -4:

t = -28

Answer:

Wait what wdym I still see my tutors option