Solve for x
4 - ( 2x - 2) + 3x = 4(x + 5) - 3(x-2)-10

Answer:

3:15 hours

Step-by-step explanation:

i don't know I just took the test

Answer:

4.75 or 4 3/4

Step-by-step explanation:

rate = distance/time

Multiply both sides by time:

time * rate = distance

Divide both sides by rate:

time = distance/rate

We are given:

distance = 76 km

rate = 16 km/h

time = ?

time = distance/rate

time = 76 km/(16 km/h)

time = 4.75 h = 4 3/4 h

Answer:

1 / 7

Step-by-step explanation:

Number of sections on spinner = 7

Section is numbered 1 to 7

Since the probability of landing on each section is the same:

Probability that spinner lands on 4 :

Probability, p = Required outcome / Total possible outcomes

Required outcome = landing on 4 = 1

Total possible outcomes = (1 to 7) = 7

P(landing on 4) = 1 /7

In the modified model, considering a constant harvesting rate, the net rate of change of the fish population takes into account both the birth rate and the death rate, which is proportional to the square of the population. The model is given by dP/dt = k1P - k2P^2 - h, where P(t) represents the population of fish at time t, k1 is the constant of proportionality for the birth rate, k2 is the constant of proportionality for the death rate, and h is the harvesting rate.

The net rate at which the population of fish changes takes into account the birth rate, the death rate, and the harvesting rate. The birth rate is proportional to the population present at time t, represented by k1P(t). The death rate, on the other hand, is proportional to the square of the population present at time t, given by k2P^2(t). The harvesting rate, denoted by h, represents the constant rate at which fish are being harvested. Therefore, the net rate of change of the population, dP/dt, is equal to the birth rate minus the death rate minus the harvesting rate. This can be expressed as dP/dt = k1P - k2P^2 - h. This differential equation provides a model for the population dynamics of the fish, accounting for both natural processes (birth and death rates) and human intervention (harvesting rate).

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Answer:

Step-by-step explanation:

A=1/4πd2

A = 1/4(22/7)(18)^2

= 254.47

0.0000416 pipe is the number of pipe for 1 km lenght

Proportion is defined as the ratio os two quantity for instance numbers.

According to the given question, the length of one pipe is equivalent to 24000km. We are to determine the number of pipe that 1 km will be.

This is expressed as:

Number of pipe for 1 km = Number of pipe/Total km

Number of pipe for 1 km = 1/24000

Number of pipe for 1 km = 0.0000416 pipe

Hence the amount of pipe for 1 km is 0.0000416 pipe

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To rewrite the function y = x^2 - 4x + 3 in the form y - k = a(x - h)^2, we need to complete the square. Here's how we can do it:

y = x^2 - 4x + 3

First, we need to find the value of h by taking half of the coefficient of x and squaring it. In this case, h = (-4/2)^2 = (-2)^2 = 4.

Next, we subtract and add 4 within the parentheses:

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

Now, we can rewrite the expression within the parentheses as a perfect square:

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

Simplifying further:

y = (x - 2)^2 - 1

Finally, we can compare this expression with the desired form y - k = a(x - h)^2:

y - 1 = 1(x - 2)^2

Therefore, the function y = x^2 - 4x + 3 can be written as y - 1 = 1(x - 2)^2.

Answer:

y = 1/2 x+4

Step-by-step explanation:

Slope intercept form is y = mx+b, where m equals the slope and b is the y-intercept.

The slope can be calculated using the formula \(m = \frac{y_{1}-y_{2} }{x_{1}-x_{2} }\).

I'll be plugging in (2,5) and (4,6) to calculate the slope.

m = (6-5)/(4-2) = 1/2

The y-intercept is the y-coordinate of where the line meets the y-axis. In the graph, you can see that the line intersects with the y-axis at (0,4). The y-coordinate of (0,4) is 4, so therefore it is the y-intercept.

Plugin m = 1/2 and b = 4 into the slope-intercept formula (y = mx+b), and you get y = 1/2 x+4

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. The correct answer is "c. asynchronous."

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. However, it should be noted that statistical time division multiplexing is different from synchronous time division multiplexing, which divides the time slots in a fixed, predetermined manner. In statistical time division multiplexing, the time slots are allocated dynamically based on the data traffic, hence the term "statistical".

More specifically, asynchrony describes the relationship between two or more events/objects that interact in the same system but do not occur in a predetermined manner and are not necessarily dependent on each other's existence for escape. They do not cooperate with each other, which means they may or may not occur simultaneously as they have their own separate processes.

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The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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Answer:

        y - 8.3 = 6.5(x + 3.4)     {the point-slope form of the equation}

        y = 6.5x + 30.4            {the slope-intercept form of the equation}  

        65x - 10y = - 304            {the standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = 6.5

(-3.4, 8.3)    ⇒   x₀ = -3.4,  y₀ = 8.3

The point-slope form of the equation:

y - 8.3 = 6.5(x + 3.4)

So:

y - 8.3 =  6.5x + 22.1         {add 8.3 to both sides}

y = 6.5x + 30.4             ←  the slope-intercept form of the equation

 y - 6.5x = 30.4                   {multiply both sides by (-10)}

65x - 10y = - 304               ←  the standard form of the equation

The original price of the ski jacket is $184.

What is price?

The sum of money paid or the amount of compensation offered by one party to another in exchange for goods or services is known as a price. The cost of production can take on different names depending on the circumstance. If the item is a "good" in a commercial transaction, the cost of the item will probably be referred to as its "price".

Given:

Paula bought a ski jacket on sale for $8 less than half its original price.

She paid $84 for the jacket.

We have to find the original price of the ski jacket.

Let

The original price = x

The amount she bought it = x/2 - 8

She paid $84 for the jacket

Therefore,

84 = x/2 - 8

Add 8 on both sides,

84 + 8 = x/2 - 8 + 8

92 = x/2

x = 184

Hence, the original price of the ski jacket is $184.

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Answer:

80°

Step-by-step explanation:

The angles in a triangle add up to 180°. So if one angle is 70° and the other angle is 30°, then ∠BCA=180°-70°-30°. This can be simplified to 180°-100° which equals 80°

The expected profit of the proposal to open the online gambling business is $2,860,000.

To calculate the expected profit of the proposal to open the online gambling business, we need to consider the probabilities and associated profits for each scenario.

The base scenario is that the business generates $8 million in profit each year, which has a probability of 100% - (5% + 2%) = 93%.

The first exception scenario is that the business is wildly successful and generates $26 million in profit each year, which has a probability of 5%.

The second exception scenario is that the business is found to be illegal, resulting in a total loss of $294 million, which has a probability of 2%.

To calculate the expected profit, we multiply each scenario's profit by its probability and sum them up:

Expected profit = (0.93 * $8,000,000) + (0.05 * $26,000,000) + (0.02 * -$294,000,000)

Expected profit = $7,440,000 + $1,300,000 - $5,880,000

Expected profit = $2,860,000

Therefore,  expected profit of the proposal to open online gambling business is $2,860,000.

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The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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Answer:

x= -61

Step-by-step explanation:

\(87=-2x-35\\(87)+35=(-2x-35)+35\\122=-2x\\\frac{122}{-2}=\frac{-2x}{-2}\\x=-61\)

Answer:

maybe 25

Step-by-step explanation:

If you rearrange the shape it makes it in to a square and you would just need to mutiply.

The effect of the elementary transformation of type 1, that is "add m times row j to row i" (i.e. row i + mx row j), applied to an (n x n) matrix A is that the new matrix A' obtained by this transformation can be written as follows:

$ $ a'_ {i k} = a_

{ik} + m a_ {jk} $ $ for  

k = 1, 2 , ..., n, where i, j ∈ [1, n],

and i ≠ j.

Here, a'ik represents the (i, k)-th element of the transformed matrix A', while aik is the (i, k)-th element of the original matrix A. Hope this helps! Let A be an (n x n) matrix. We apply the elementary transformation of type 1 to A: "add m times row j to row i"

(i.e. row i + mx row j), where m is a non-zero constant and j . Let A be an (n x n) matrix. We apply the elementary transformation of type 1 to A: "add m times row j to row i" (i.e. row i + mx row j), where m is a non-zero constant and j

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Answer:

A

Step-by-step explanation:

The correct null and alternative hypotheses in this case are:H0: p >= 0.18 (the proportion of graduates with loan debt 20 years after graduating is greater than or equal to 18%)
Ha: p < 0.18 (the proportion of graduates with loan debt 20 years after graduating is less than 18%)

Here, the null hypothesis assumes that the proportion of graduates with loan debt 20 years after graduating is greater than or equal to 18%. The alternative hypothesis assumes that the proportion of graduates with loan debt 20 years after graduating is less than 18%, which is what the college graduate wishes to test. Therefore, if the sample data provides sufficient evidence to reject the null hypothesis, then it can be concluded that the proportion of graduates with loan debt 20 years after graduating is less than 18%.

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If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.

The F-test is a statistical test used to compare the variances of two groups.

In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.

Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.

Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.

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Answer:

Step-by-step explanation:

a) -3

b) 5

c) -2

d) -6

Answer:

a) (-3)

b) 5

c) (-2)

d) (-6)

Hope it helps!!

There were 20 questions on the quiz.

Let's start by using algebra to solve the problem.

Let x be the total number of questions on the quiz.

If Jianna got 87.5% of the questions correct, then she got 0.875x questions

correct.

We also know that Jianna got 17.5 questions correct.

So we can set up the equation:

0.875x = 17.5

To solve for x, we can divide both sides by 0.875:

x = 20

Therefore, there were 20 questions on the quiz.

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(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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(a) The value of Se (standard error of the linear regression model) is 3.92430.

(b) The standard error of the coefficient of the predictor variable (standard error for b) is 0.1470.

(c) The critical value tc for a 99% confidence interval, with 5 degrees of freedom, is approximately 4.032. The 99% confidence interval for the population slope β is approximately (0.213, 1.400).

(a) The value of Se (standard error of the linear regression model) is provided in the printout as "S" and is equal to 3.92430.

(b) The standard error of the coefficient of the predictor variable (standard error for b) is given in the printout as "SE Coef" and is equal to 0.1470.

(c) To find the critical value tc for a 99% confidence interval with n = 7 data pairs, we need to consult the t-distribution table with (n - 2) degrees of freedom. In this case, the degrees of freedom would be (7 - 2) = 5.

Looking up the critical value in the t-distribution table with 5 degrees of freedom and a 99% confidence level, we find tc to be approximately 4.032.

To calculate the 99% confidence interval for the population slope β, we can use the formula  -

lower limit = b - tc * SE Coef

upper limit = b + tc * SE Coef

Substituting the values from the printout  -

lower limit = 0.8067 - 4.032 * 0.1470

upper limit = 0.8067 + 4.032 * 0.1470

Calculating the values  -

lower limit ≈ 0.8067 - 0.5937 ≈ 0.213

upper limit ≈ 0.8067 + 0.5937 ≈ 1.400

Therefore, the 99% confidence interval for the population slope β is approximately (0.213, 1.400).

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a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

Step-by-step explanation:

p = -1, -4

q = -2, 2

p-q = (-1, -4) -1(-2, 2)

= 1, -6

Answer:

W in green and down should be 4

Step-by-step explanation:

what I mean is Water divided by 4 equal sugar

Answer:

1) 6 loads

2) 6 teams

3) 19 books per shelf

4) 5 hours