Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

Plane geometry, solid geometry, and spherical geometry are the three most popular types of geometry.

Plane geometry deals with items like points, lines, circles, triangles, and polygons. Solid geometry also deals with objects like spheres and polyhedra (dealing with objects like the spherical triangle and spherical polygon).

Triangles:

In geometry, triangles are three-sided polygons with three vertices and three edges. The fact that a triangle's internal angles add up to 180 degrees is its most significant characteristic. What is referred to as is the angle sum attribute of the triangle. In a triangle, there are three angles. The intersection of the triangle's two sides at its apex results in these angles. Three inner angles added together equal 180 degrees.

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The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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Answer:

Time 10 = $40 Savings

Time 15 = $60 Savings

Time 25 = $100 Savings

Step-by-step explanation:

Answer:

10/40 ,15/60 ,25/100

Step-by-step explanation:

Answer:

x = 12.1243557....

Step-by-step explanation:

14² = 7² + x²

Isolate x.

x² = 14² - 7²

x² = 196 - 49 = 147

√x² = √147

x = √147 = 12.1243557....

Answer:

12.1 rounded to the nearest tenth.

Step-by-step explanation:

\(7^{2} +x^{2} = 14^{2}\)       \(7^{2}\) means 7x7 = 49; \(14^{2}\) means 14x14 = 196

49 + \(x^{2}\) = 196       Subtract 49 from both sides of the equation

\(x^{2}\) = 147

\(\sqrt{x^{2} }\) =\(\sqrt{147}\)

x = \(\sqrt{147}\)      This would be the exact answer.

12.1   is your answer rounded to the nearest tenth

Answer:

x = 18

Step-by-step explanation:

The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is

\(\frac{80}{80+2x}\) = \(\frac{60}{60+27}\) = \(\frac{60}{87}\) ( cross- multiply )

60(80 + 2x) = 6960 ← divide both sides by 60

80 + 2x = 116 ( subtract 80 from both sides )

2x = 36 ( divide both sides by 2 )

x = 18

Answer:

121.92

Step-by-step explanation:

There's 121.92 centimeters in 4 feet.

Hope this helps! :^)

Answer:

slope: (1 ,-3)

y-intercept: -1

y = -3/1 -1

Step-by-step explanation:

hope it helps!

The following statements about the sampling distribution of the sample mean are true: Its mean is equal to the population mean.                          Its standard deviation is equal to the population standard deviation.

The sampling distribution of the sample mean refers to the distribution of all possible sample means that can be obtained from a given population. It plays a crucial role in statistical inference.

The first statement is true: the mean of the sampling distribution of the sample mean is equal to the population mean. This is known as the central limit theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution centered around the population mean.

The second statement is also true: the standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation divided by the square root of the sample size. This relationship is known as the standard error of the mean. As the sample size increases, the standard error decreases, indicating a more precise estimate of the population mean.

The third statement, however, is not necessarily true. The shape of the sampling distribution of the sample mean is not always the same as the shape of the population distribution. In many cases, as the sample size increases, the sampling distribution tends to approximate a normal distribution regardless of the shape of the population distribution, thanks to the central limit theorem. However, if the population distribution is extremely skewed or has heavy tails, the normal approximation may not hold even with large sample sizes.

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Answer:79

Step-by-step explanation:

x+(x+2)+(x+4)=231

3x+6=231

3x=225

x=75

75+4=79

The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.

Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.

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Answer:

Step-by-step explanation:

it's this one

The appropriate test statistic is the z-test statistic for two independent proportions.

We have,

The concept used is the comparison of two independent proportions and the corresponding test statistic, which is the z-test statistic for two independent proportions.

To determine the appropriate test statistic for comparing the proportions of teens and adults using their phone as alarm clock, we can consider the scenario of comparing two independent proportions.

In this case, where we are comparing two groups (teens and adults) and their respective proportions, an appropriate test statistic would be the

z-test statistic for two independent proportions.

Thus,

The appropriate test statistic is the z-test statistic for two independent proportions.

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In a sampling plan with n = 200, n = 20, p = 0.05, and c = 3, the probability that an incoming lot will be accepted can be calculated using the binomial distribution.

(i) To find the probability that an incoming lot will be accepted, we use the binomial distribution formula. The formula for the probability of k successes in n trials, given the probability of success p, is P(X = k) = C(n, k) * p^k * (1 - p)^(n - k), where C(n, k) represents the number of combinations.

In this case, n = 200, p = 0.05, and c = 3. We want to calculate the probability of 0, 1, 2, or 3 successes (acceptances) out of 200 trials. Therefore, we calculate P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) using the binomial distribution formula.

(ii) The probability that an incoming lot will be rejected can be found by subtracting the acceptance probability from 1. Therefore, P(rejected) = 1 - P(accepted).

By calculating the probabilities using the binomial distribution formula and subtracting the acceptance probability from 1, we can determine the probability that an incoming lot will be rejected

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The probability of pulling out 2 red marbles at the same time is approximately 0.5333, or 53.33%.

What is probability ?

Probability is the measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 indicating that the event will not occur, and 1 indicating that the event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Given by the question:

There are a total of 30 marbles in the jar. To find the probability of pulling out 2 red marbles at the same time, we need to first find the probability of pulling out one red marble on the first draw, and then multiply that by the probability of pulling out another red marble on the second draw, given that the first marble was not replaced.

The probability of pulling out one red marble on the first draw is:

P(Red on first draw) = 17/30

Now, there are 16 red marbles and 29 total marbles left in the jar for the second draw (since we did not replace the first marble). So the probability of pulling out a second red marble given that the first marble was red is:

P(Red on second draw | Red on first draw) = 16/29

To find the probability of both events happening, we multiply the probabilities:

P(2 red marbles) = P(Red on first draw) × P(Red on second draw | Red on first draw)

= (17/30) × (16/29)= 8/15≈ 0.5333

Therefore, the probability of pulling out 2 red marbles at the same time is approximately 0.5333, or 53.33%.

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Answer:

56x³+87x²+51x+27

Step-by-step explanation:

You have to do box method. Draw a box that 3 by 2 cubes long. On the side that is 3 cubes long. Write 7x² on top of the first cube, 3x on top of the second cube, and 3 on top of the third cube. On the side that is two cubes long, write 8x next to the first cube and 9 next to the second cube.

Answer: 0.75

Step-by-step explanation: Each term will divide by 2 and the quotient is the next term

24/2 = 12

12/2 = 6

6/2 = 3

3/2 = 1.5

1.5 / 2 = 0.75

Answer:

D: There is not enough information to determine what type of correlation exists between the variables in this data set.

Step-by-step explanation:

as if you were to place all these dots unto a graph the data will be unclear as they're too scattered to come to a conclusion if it's positive or negative

\(43\)

The probability of the sets are solved and

a) n(P U Q) = 85%

b) n(P ∩ Q) = 20%

c) n(only P) = 35%

d) n(only Q) = 30%

Given data ,

P and are the subsets of universal set U

And , n (p) = 55% n (Q) = 50% and n(PUO)complement = 15%

Now , we'll use the formula for the union and intersection of sets:

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(only P) = n(P) - n(P ∩ Q)

n(only Q) = n(Q) - n(P ∩ Q)

We're given that:

n(P) = 55%

n(Q) = 50%

n(P U Q)' = 15%

To find n(P U Q), we'll use the complement rule:

n(P U Q) = 100% - n(P U Q)'

n(P U Q) = 100% - 15%

n(P U Q) = 85%

Now we can substitute the values into the formulas above:

(i)

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(P ∩ Q) = 55% + 50% - 85%

n(P ∩ Q) = 20%

(ii)

n(P ∩ Q) = 20%

(iii) n(only P) = n(P) - n(P ∩ Q)

n(only P) = 55% - 20%

n(only P) = 35%

(iv)

n(only Q) = n(Q) - n(P ∩ Q)

n(only Q) = 50% - 20%

n(only Q) = 30%

Hence , the probability is solved

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Answer: 31

Step-by-step explanation:

The answer to this problem is that the system is consistent if k is not equal to zero. The answer is (b) "The system is consistent when k ≠ 0".

Consider the augmented matrix in row echelon form (REF):1 2 3 12 0 4 5 150 0 0 kFor what value(s) of k is the corresponding linear system of equations consistent?The system is consistent when k = 0 is the answer. The following can be deduced from the augmented matrix in row echelon form (REF): 1 2 3 12 0 4 5 150 0 0 kThe coefficient matrix for the corresponding linear system of equations is:A = [ 1 2 3; 0 4 5; 0 0 k]The system is consistent for a coefficient matrix A if and only if the rank of the coefficient matrix A is equal to the rank of the augmented matrix. The rank of the augmented matrix is determined by the number of nonzero rows in the matrix.The augmented matrix contains two nonzero rows, so its rank is 2. Now let's look at the coefficient matrix A: A = [ 1 2 3; 0 4 5; 0 0 k] Since the first two rows are nonzero, the rank of the coefficient matrix is also 2. Therefore, the system is consistent if and only if the third row of the coefficient matrix A is also nonzero. That is, the system is consistent if and only if k is not equal to zero. Therefore, the answer to this problem is that the system is consistent if k is not equal to zero. The answer is (b) "The system is consistent when k ≠ 0".

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The instantaneous rate of change of f is equal to the average rate for only one value of x in the open interval (0, 1.565), which is x = 0.3925.

To find the values of x where the instantaneous rate of change of f is equal to the average rate, we need to compare the derivative of f with the average rate formula.

The average rate of change of f on the interval (a, b) is given by:

Average rate = (f(b) - f(a))/(b - a)

In this case, the interval is (0, 1.565), so a = 0 and b = 1.565. Substituting these values into the average rate formula, we have:

Average rate = (f(1.565) - f(0))/(1.565 - 0)

To find the instantaneous rate of change, we need to calculate the derivative of f. Taking the derivative of f(x) = (1/4)x², we get:

f'(x) = (1/4) * 2x = (1/2)x

Now we equate the average rate and the derivative:

(1/2)x = (f(1.565) - f(0))/(1.565 - 0)

Simplifying this equation, we have:

(1/2)x = (f(1.565) - f(0))/1.565

To solve for x, we substitute f(x) with its expression:

(1/2)x = ((1/4)(1.565)² - (1/4)(0)²)/1.565

(1/2)x = (1/4)(1.565)²/1.565

Simplifying further:

(1/2)x = (1/4)(1.565)

(1/2)x = 0.19625

Multiplying both sides by 2:

x = 0.3925

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Answer:

>\/<

\(10\)

>/\<

- remember that the midline is always half of the sum of the other two legs.

here,

UX is the midline,

ST is the leg,

VW is the other leg.

so,

ST + VW = 2UX

now plug in,

25 + VW = 2(35)

25 + VW = 70

VW = 45

request: please mark brainiest, and click the thanks button if correct <3

The values of

1. tan B = 3/5

2. cos B = 5/√34

3. sinA = 5/√34

4. tan A = 5/3

5. angle B = 31°

6. angle A = 59°

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin(tetha) = opp/hyp

cos( tetha) = adj/hyp

tan ( tetha) = opp/adj

therefore;

tan B = 3/5

cos B = 5/√34

sinA = 5/√34

tan A = 5/3

Since tan A = 5/3

tanA = 1.67

A = tan^-1(1.67)

A = 59°

tanB = 3/5

B = tan^-1( 0.6)

B = 31°

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Answer:

y = -2/3x - 1

Step-by-step explanation:

First, find the slope so you can see that when x goes up by 3, y goes down by 2. This means that the slope is -2 divided by 3, or -2/3.

You can see in the picture that the y-intercept is at the point (0, -1).

That means the equation would be y = -2/3x - 1

Answer:

Below.

Step-by-step explanation:

This is a square based pyramid.

There are:

5 Faces (one on the base and 4 side faces)

8 edges.   ( 4 on base and 4 on side)

5 vertices   (4 on the base and one on the top)

Answer:

\(Faces~:~5\\Edges~:~8\\Vertices~:~5\)

Concept:

Here, we need to distinguish between face, edge, and vertex (plural: vertices)

A face is a single flat surface

An edge is a line segment between faces

A vertex is a corner

Please refer to the attachment below for a visual understanding

Solve:

Count the number of faces

1 + 4 = \(\Large\boxed{5~faces}\)

Count the number of edges

4 + 4 = \(\Large\boxed{8~edges}\)

Count the number of vertices

4 + 1 = \(\Large\boxed{5~vertices}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

\(x^{2} -8x+12\)

Step-by-step explanation:

im pretty sure its this smack me if im wrong