Which is the value of x?

Answer:

Number 3

Step-by-step explanation:

Divide each side by 4, so -10/4=4x/4

This give -2.5=x.

And since you divided, you used the dividing power oof equality.

So number 3

Answer:

28 centimeters a year, 5.5 years until 344 centimeters

Step-by-step explanation:

I did the calculations, forgive me if I am wrong.

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

\(\frac{-7}{10}\ or \ 0.7\)

Step-by-step explanation:

step 1.

\(\frac{1}{3} (\frac{-6}{4}-\frac{1}{2}(\frac{6}{5}))\)

step 2.

put it in a calculator

step 3

=\(\frac{-7}{10}\ or \ 0.7\)

Each membership plan costs $65 if Austen takes 6 classes per month.

Let's write a system of equations to describe the situation, solve it using substitution, and fill in the blanks.

Let x be the number of classes Austen takes per month, and y be the total cost of the membership plan.

For the first membership plan, the equation is:

y = 47 + 3x

For the second membership plan, the equation is:

y = 41 + 4x

Since both plans cost the same total amount, we can set the equations equal to each other and solve for x:

47 + 3x = 41 + 4x

In order to find x, follow these steps:

1. Subtract 3x from both sides:

47 = 41 + x

2. Subtract 41 from both sides:

6 = x

3. Now we know that Austen takes 6 classes per month. Let's plug the value of x back into one of the equations to find the total cost (y). We can use the first equation:

y = 47 + 3(6)

4. Multiply 3 by 6:

y = 47 + 18

5. Add 47 and 18:

y = 65

Hence, if Austen takes 6 classes per month then  each membership plan costs $65

Note: The question is incomplete. The complete question probably is: Austen wants to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, Austen can pay $47 per month, plus $3 for each group class he attends. alternately, he can get the second membership plan and pay $41 per month plus $4 per class. If Austen attends a certain number of classes in a month, the two membership plans end up costing the same total amount. What is that total amount? How many classes per month is that?

Each membership plan costs $_____ if Austen takes ____ classes per month.

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Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.

This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.

The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.

In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.

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Answer: 18.38 feet

Step-by-step explanation:

Hi, to answer this question we simply have to solve the expression √338, which is the length of the wire.

Mathematically speaking:

√338 = 18.3847 feet  

Since the number after the hundredths place is less than 5:

Length of the wire: 18.34 feet (rounded to the nearest hundredth)

Feel free to ask for more if needed or if you did not understand something.

Answer:

The vector v = [2, y] does not belong to the set S.

Step-by-step explanation:

To determine if the vector v = [2, y] belongs to the set S, we need to check if there exists a solution to the augmented matrix [A | v].

The augmented matrix is:

[1 3 3 | 2]

[4 12 12 | y]

[2 6 6 | 2]

Let's perform row operations to bring the augmented matrix to its row-echelon form:

R2 = R2 - 4R1

R3 = R3 - 2R1

The row-echelon form of the augmented matrix is:

[1 3 3 | 2]

[0 0 0 | y - 8]

[0 0 0 | -2]

From the row-echelon form, we can see that the third row implies 0 = -2, which is not possible. This indicates that the system of equations represented by the augmented matrix has no solutions.

Therefore, the vector v = [2, y] does not belong to the set S.

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The equation of the circle graphed in this problem is:

(x - 5)² + y² = 16.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

For the circle graphed, we have that:

Hence the equation of the circle graphed is:

(x - 5)² + y² = 16.

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Answer:

x+8=3x

Step-by-step explanation:

4x=20

4x/4=20/4

x=5

The solution to the first equation is x=5.

x/2=8

2(x/2)=2(8)

x=16

The solution to the second equation is x=16.

x+8=3x

x+8-x=3x-x

8=2x

8/2=2x/2

x=4

The solution to the third equation is x=4.

x=x+5/2

x-x=x+5/2-x

-x=5/2

x=-5/2

The solution to the fourth equation is x=-5/2.

The equation x+8=3x has the solution to x=4.

Step-by-step explanation:

4x = 20

x = 20/4 = 5

x/2 = 8

x = 8 x 2 = 16

x + 8 = 3x

8 = 3x - x

8 = 2x

8/2 = x

4 = x

x = x + 5/2

2x = 5/2

x = 5/2 x 2

x = 5

Answer:

The equation of line which is parallel to the given line is y =  3 x + k.

Step-by-step explanation:

The equation of the line is

y = 3 x - 8

Compare with the standard equation

y = mx + c

The slope of line is

m = 3

So, the line parallel to the given line is

y = 3 x + k

where, k is any real number.

We can use proof by construction to prove the statement, and proof by contradiction to disprove it.To prove or disprove the statement "for every rational number, there is another larger irrational number," we need to choose an appropriate proof method.

One method that could be used to prove this statement is proof by construction, where we construct an example that satisfies the statement. To prove this statement, we can construct a specific irrational number that is larger than any given rational number. One example of such a number is the square root of 2, which is irrational and larger than any rational number.

On the other hand, to disprove this statement, we need to find a counterexample. We can use proof by contradiction, where we assume the statement is true and then show that it leads to a contradiction. For example, suppose we assume that for every rational number, there is another larger irrational number. Then, we can take the irrational number sqrt(2) and subtract any rational number from it to get a new irrational number that is smaller than sqrt(2), contradicting our assumption. Therefore, we can conclude that the statement is false.

In summary, we can use proof by construction to prove the statement, and proof by contradiction to disprove it.

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The student with the worst result was student 7, as their mean was the furthest from the expected value and they had the highest standard deviation.

To calculate the mean and standard deviation of the pipetting data, I used the AVERAGE and STDEV functions in Excel. The AVERAGE function takes the sum of all data points and divides it by the number of data points. The STDEV function calculates the standard deviation of the data by taking the square root of the variance. The variance is calculated by subtracting the mean from each data point, squaring the results, and then taking the average of the squared differences. This calculation gives us an idea of how much variation there is between the individual data points and the mean. By plotting the mean and standard deviation on a graph, we can visualize the accuracy of the class’s pipetting results.

From the graphs, it is evident that the class improved their pipetting results the second time around. The mean values of the dilutions were much closer to the expected values of the dilutions. Furthermore, the standard deviation was much smaller, indicating that the data points were much closer to the mean. The student with the worst result was student 7, as their mean was the furthest from the expected value and they had the highest standard deviation.

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that the answer is 18 bugs sorry pero yan ang tama

Step-by-step explanation:

please hearts me in brainly and give me a star

The car-driven cost increases with an increase in miles. After substituting x = 1,2,3,4.... you will find that it is increasing by 0.29 every time.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right is shown to be equal in reference to one another.

According to the question,

y = 0.29 x + 209

Where x is the number of miles and y is representing the driving cost of the car.

Substitute x = 1,2,3,4...... in the above equation.

y₁ = 0.29 (1) + 209 = 209.29

y₂ = 0.29 (2) + 209 = 209.58

y₃ = 0.29 (3) + 209 = 209.87

y₄ = 0.29 (4) + 209 = 210.16 and so on.

Now, take the difference,

y₂ - y₁ = 0.29

y₃ - y₂ = 0.29

y₄ - y₃ = 0.29

Hence, it is clear that with an increase in each mile the cost is increasing by 0.29.

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The transition matrix from B to B' is: [1 7 2; 2 3 9; 2 0 -7]

What is the transition matrix?

A stochastic matrix is a square matrix used to explain Markov chain transitions. Each of its entries represents a probability as a nonnegative real number. It is also known as a Markov matrix, probability matrix, transition matrix, or substitution matrix.

In this case, we want to find the transition matrix from B = {(1,0,0), (0,1,0),

(0,0,1)} to B' = {(1,3,-1), (2,7,-4), (2,9,-7)}.

We can express each vector in B' as a linear combination of the vectors

in B:

(1,3,-1) = 1(1,0,0) + 3(0,1,0) - 1(0,0,1)

(2,7,-4) = 2(1,0,0) + 7(0,1,0) - 4(0,0,1)

(2,9,-7) = 2(1,0,0) + 9(0,1,0) - 7(0,0,1)

We can then construct the matrix M whose columns are the coefficients

of the linear combinations:

M = [1 2 2 | 1 3 2 ; 0 7 9 | 0 1 0 ; -1 -4 -7 | 0 0 1]

The first three columns correspond to the coefficients of (1,0,0), (0,1,0),

and (0,0,1) in the first vector of B', and the second three columns correspond to the coefficients of the same basis vectors in the second and third vectors of B'.

The first row of M tells us that (1,3,-1) = 1(1,0,0) + 2(1,0,0) + 2(1,0,0), so the

The first column of the transition matrix should be (1,2,2). Similarly, the

The second row of M tells us that (2,7,-4) = 3(0,1,0) + 7(1,0,0) + 4(0,0,1), so the

The second column of the transition matrix should be (7,3,0). The third row of

M tells us that (2,9,-7) = 2(1,0,0) + 9(0,1,0) - 7(0,0,1), so the third column of

the transition matrix should be (2,9,-7).

Hence, The transition matrix from B to B' is: [1 7 2; 2 3 9; 2 0 -7]

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Answer:

-1.9 Should be correct!

Step-by-step explanation:

Answer:

-1.9

Step-by-step explanation:

because it just is ok

Answer: He would make $1,170 a week.

Step-by-step explanation:

He makes $400 a week.

$55 per appliance sold, he sold 14 appliances.

$55 x 14 = $770

$400 + $770 = $1,170

Hope this helps!:)

Answer: 4 bags

Step-by-step explanation:

Each bag costs $10.
So $40 can buy 4 bags.

Answer:

65

Step-by-step explanation:

260/4=65

65*4=260

At 4 seconds, the roller coaster is at the top of the hill, and its height is 64 units.

We have,

The given equation of the roller coaster is y = -(1/2)x + 4x + 50.

This equation represents a quadratic function in the form of

y = ax² + bx + c, where a = -(1/2), b = 4, and c = 50.

Now,

To find the time when the roller coaster is at the top of the hill, we need to find the x-coordinate of the vertex of this quadratic function.

The x-coordinate of the vertex is given by the formula x = -b / (2a).

In our case,

a = -(1/2) and b = 4, so we can substitute these values into the formula:

x = -4 / (2 x -(1/2))

x = -4 / -1

x = 4

So, the time (in seconds), when the roller coaster is at the top of the hill, is 4 seconds.

To find the height of the roller coaster at that time, we can substitute the value of x = 4 into the equation y = -(1/2)x + 4x + 50:

y = -(1/2)(4) + 4(4) + 50

y = -2 + 16 + 50

y = 64

Thus,

At 4 seconds, the roller coaster is at the top of the hill, and its height is 64 units.

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Answer:

x=2, y=-1

Step-by-step explanation:

Remember: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. Then, go from there.

Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

b pizza hut

Step-by-step explanation:

sorry im wrong

\(\huge \text{Hello there! :)}\)

Answer:

The algebraic expression is as followed:

Step-by-step explanation:

Given the following question:

If you have any doubts about my answer please let me know.

\(-Nature-\)

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Answer:

Step-by-step explanation:

the first step is to subtract the 2 over to the 5

Step-by-step explanation:

you subtract from each side of the equation.

The fraction that shows how the height of Elijah's and Riley's game pieces are related is 4/7.

The model that shows how the height of the game pieces are related is a fraction. Elijah's game piece, the dragon, is about 1 2 inch tall, and Riley's game piece, the cat, is about 7 8 inch tall.

To represent this situation using a fraction, the numerator of the fraction is the height of the dragon, and the denominator is the height of the cat.

Therefore, the fraction that shows how the heights of the game pieces are related is:1/2 ÷ 7/8To divide fractions, we multiply by the reciprocal of the divisor, which is flipping the divisor over so that the denominator becomes the numerator and the numerator becomes the denominator.

Hence,1/2 ÷ 7/8 = 1/2 x 8/7 = 8/14 = 4/7

Thus, the fraction that shows how the heights of Elijah's and Riley's game pieces are related is 4/7.

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Answer: 21.21

Step-by-step explanation: 8.04 + 8.04 + 5.13 = 21.21

Step-by-step explanation:

Warren bought 2 pounds of hazelnuts, which cost $8.04 per pound, so he spent:

2 pounds * $8.04/pound = $16.08

He also bought 1 pound of walnuts, which cost $5.13 per pound, so he spent:

1 pound * $5.13/pound = $5.13

Therefore, the total amount Warren spent is:

$16.08 + $5.13 = $21.21