5(2a + 1) = 45 can you please help me

To find the margin of error (E) for a confidence level of c = 0.90, sample size (n) of 10, and sample standard deviation (s) of 3.1,

we need to determine the critical value from the t-distribution and then calculate the margin of error using the formula:

E = critical value * (s / sqrt(n))

The critical value is based on the desired confidence level and the degrees of freedom (d.f.) which depend on the sample size.

Since the sample size is 10, the degrees of freedom (d.f.) used in this case would be (n - 1) = (10 - 1) = 9.

To find the critical value corresponding to a 90% confidence level and 9 degrees of freedom, we can use a t-table or a statistical calculator. The critical value is approximately 1.83.

Now, we can calculate the margin of error (E):

E = 1.83 * (3.1 / sqrt(10))

E ≈ 1.83 * (3.1 / 3.162)

E ≈ 1.83 * 0.981

E ≈ 1.794

The value of the degrees of freedom (d.f.) used is 9.

Therefore, the correct answer is D) 1.80 with d.f. = 9.

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Answer:

a) 16 in³

Step-by-step explanation:

Vol (cyl) = πr²h = 54

Vol (cone) =  πr²h/3

54/3 = 16

The probability that it rains every day is 0.0156.

How we get probability?

The probability that it rains every day during a six-day vacation given that the forecast is a 50% chance of rain every day can be calculated as follows We can find the probability of rain on any given day by P(rain) = 0.5. The probability of rain every day is the probability of it raining on the first day and raining on the second day and so on until it rains on the sixth day.

This can be calculated by multiplying the probability of rain on each day together. P(rain every day) = P(rain on day 1 and rain on day 2 and rain on day 6) P(rain every day) = P(rain on day 1) × P(rain on day 2) P(rain on day 6) P(rain every day)

0.5 × 0.5 × 0.5 × 0.5 × 0.5 × 0.5 = (0.5)⁶ = 0.015625,  Rounding the answer to 4 decimal places we get 0.0156.

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Answer:    The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The vertical angles theorem states that when two straight lines intersect, they form two sets of linear pairs with congruent angles.

A midpoint divides a line into 2 congruent segments.

The SAS Theorem states that if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

Answer:

Step-by-step explanation:

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If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of \(\rm \left (\dfrac{a}{b } \right )^2\).

If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of \(\rm \left (\dfrac{a}{b } \right )^3\).

Two shapes are similar if all their corresponding angles are congruent and their corresponding sides are proportional.

Two solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional.

When two shapes are similar in two dimensions, the ratio of their areas is the square of the scale factor.

A comparable relationship holds in three dimensions as well.

Surface Area Ratio: If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of \(\rm \left (\dfrac{a}{b } \right )^2\).

Volumes of Similar Solids; Just like surface area, volumes of similar solids have a relationship that is related to the scale factor.

Volume Ratio: If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of \(\rm \left (\dfrac{a}{b } \right )^3\).

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Answer:

360 seats.

Step-by-step explanation:

125 rows x 20 seats = 2,500

2,500 seats in total  - 2,140 taken  = 360 seats.

Hope this helps! ٩(๑`^´๑)۶

Answer:

The correct interpretation of the p-value in this scenario is "if there is a linear relationship between the amount of mercury in a lake and the surface area of the lake, the probability of observing a test statistic as extreme as 2.086 or more extreme is 0.05." This means that if there is actually no linear relationship between the amount of mercury in a lake and the surface area of the lake, there is a 5% chance of obtaining a test statistic as extreme as 2.086 or more extreme purely by chance. Therefore, a p-value of 0.05 is commonly used as a threshold to reject the null hypothesis and conclude that there is evidence of a linear relationship between the two variables.

Step-by-step explanation:

To find the probability of drawing two blue marbles from a bag containing two blue and three red marbles, you can follow these steps:

Step 1: Determine the total number of marbles in the bag.
There are 2 blue marbles and 3 red marbles, so there are a total of 5 marbles in the bag.

Step 2: Calculate the probability of drawing the first blue marble.
There are 2 blue marbles and 5 total marbles, so the probability of drawing the first blue marble is 2/5.

Step 3: Update the bag's contents after drawing the first blue marble.
After drawing one blue marble, the bag now contains 1 blue marble and 3 red marbles, making a total of 4 marbles.

Step 4: Calculate the probability of drawing the second blue marble.
With 1 blue marble and 4 total marbles remaining in the bag, the probability of drawing the second blue marble is 1/4.

Step 5: Determine the overall probability of drawing two blue marbles.
To find the probability of both events happening, multiply the individual probabilities together: (2/5) * (1/4) = 2/20 or 1/10.

So, the probability of drawing two blue marbles consecutively from the bag is 1/10 or 10%.

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The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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Answer:

-1.06

Step-by-step explanation:

i took the test :)

For the first graph

A = (-5, 2)

B = (5, -4)

To calculate the slope we will use the following formula

The answer would be m = -3/5

For the second graph

A = (-1, -1)

B = (3, 0)

To calculate the slope we will use the following formula

The answer would be m = 1/4

For the third graph

In the third graph, we have a vertical slope at point x = 2

In this case the slope would be equal to infinity and the equation of the line would be equal to x = 2

Answer:

length times width

divided by 1.5

Answer:

x = 24

Step-by-step explanation:

According to the vertical angles rule, x - 17 = 180 - (7x + 5) or x - 17 = 180 - 7x -5 and when we solve for x we get x = 24

Answer:

576

Step-by-step explanation:

64×9 = 576

72×8= 576

The LCM of both numbers is 576

Answer:

Step-by-step explanation:

It will be the least common multiple of 64 and 72 days

64 = 2 * 2 * 2 * 2 * 2 * 2 = 2⁶

72 = 2*2*2*3*3 = 2³ * 3²

LCM = 2⁶ * 3² = 64 * 9 =  576

Both will meet each other again 576 days

Answer:

135°

Step-by-step explanation:

To convert Radians to Degrees, you multiply the Radians amount by \(\frac{180}{\pi}\).

Thus, we get \(\frac{3\pi }{4}\) * \(\frac{180}{\pi}\)

We then get \(\frac{540\pi }{4\pi }\), which simplifies into 135 degrees.

Answer:

b

Step-by-step explanation:

hiStep-by-step explanation:

The solution to the equation represented by the model is x = 2

The model represents the given parameter

Based on the key of the model, we have the following equation

x + x + x - 1 - 1 - 1 - 1 = 1 + 1 + 1 + 1 + 1 + 1 - x - x

Evaluate the like terms

So, we have the following representation

3x - 4 = 6 - 2x

Collect the like terms

So, the equation becomes

3x + 2x = 4 + 6

This gives

5x = 10

Divide both sides by 5

x = 2

Hence, the solution to the model is 2

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Answer:

\( \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}\)

Step-by-step explanation:

distribute tan(θ):

=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0

remove parentheses:

=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0

so this equation is now in standard form i.e ax²+bx+c=0

we can solve by factoring as we solve quadratic equation

factor out tanθ:

=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0

factor out -√3:

=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0

group:

=>(tan(θ)-√3)(tan(θ)-1)=0

separate it as two different equation:

\( \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}\)

add 1 and √3 to both sides to first and second equation respectively:

\( \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} \)

\( \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} \)

\( \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} \)

Answer:

Below

Step-by-step explanation:

Radians =  degrees * pi /180

Radians * 180/pi   =  degrees

The stream function \(w = x^5 - 15x^4y² + 15x²y - y^6\) represents the flow field. To obtain the velocity field, we must differentiate the stream function twice.

The velocity field in x and y directions is given by the partial derivatives of the stream function with respect to x and y, respectively. The velocity field is obtained as follows:

\(V_x = -∂w/∂y = 30x^4y - 30x²y³\\V_y = ∂w/∂x = 5x^4 - 60x³y + 30xy\)

The velocity field is obtained by taking the partial derivatives of the stream function, which are given as:

\(V_x = -∂w/∂y = 30x^4y - 30x²y³\\V_y = ∂w/∂x = 5x^4 - 60x³y + 30xy\)

To show that the flow field is irrotational, we must find the curl of the velocity field. The curl of the velocity field is given by the following expression:

curl V = (∂V_y/∂x - ∂V_x/∂y)i + (∂V_x/∂y - ∂V_y/∂x)j where i and j are the unit vectors in the x and y directions, respectively.

The curl of the velocity field is evaluated as follows:

curl V = (30y - 30y)i + (30x - 30x)j = 0

The curl of the velocity field is zero. As a result, the flow field is irrotational.

To obtain the potential function, we must integrate the velocity field. Since the flow field is irrotational, the potential function is defined as follows:

ϕ(x,y) = ∫V dx + f(y) where f(y) is the constant of integration that depends only on the y-coordinate. Integrating V_x with respect to x, we get:

ϕ(x,y) = ∫V_x dx + f(y) = \(x^5 - 10x³y² + 15x²y\) + f(y)

To determine the value of f(y), we must differentiate the potential function with respect to y and compare it to the given expression for V_y.

Differentiating ϕ(x,y) with respect to y, we get:

∂ϕ/∂y =\(-10x^3(2y) + 15x^2\) + f'(y)

Comparing this with the given expression for V_y, we get:

f'(y) = 30xy - 60x³y

This implies that

f(y) = 15x²y² - \(15x^4y\) + C, where C is the constant of integration.

Therefore, the potential function is given as:

ϕ(x,y) = x^5 - 10x³y² + 15x²y + 15x²y² - \(15x^4y\) + C

Therefore, the velocity field is obtained by differentiating the stream function twice, which is V_x = -∂w/∂y and V_y = ∂w/∂x. The curl of the velocity field is found to be zero, indicating that the flow field is irrotational. Finally, the potential function is obtained by integrating the velocity field, and the constant of integration is found by comparing the partial derivative of the potential function with respect to y to the given expression for V_y.

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Answer:

33%

Step-by-step explanation:

Let's start by defining x as a percent such that when x is multiplied by 12, it is equal to four.

12x = 4

x = 4/12 = 1/3 = 33%

And we are done!

The total charges of both companies is the same at 24 months.

We have:

Company one:

This means that:

y = 20 + 25x + 40x

y = 20 + 65x

Company two:

This means that:

y = 30 + 700 + 35x

y =  730 + 35x

See attachment

On the attached graph, the point of intersection is at

(x, y) = (24, 1558)

This means that the total charges of both companies is the same at 24 months.

On the long run, phone company two has a better deal.

On the short run, phone company one has a better deal.

Because the function have lesser values after the point of intersection.

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To put your theory to the test using the right statistical method. Your hypothesis test yielded a p-value of 0.00810 as a result.

A hypothesis is a proposed explanation or prediction for a phenomenon or observed event, based on limited evidence or observations. It is often used as a starting point for scientific research and experimentation, where a researcher formulates a tentative explanation for a phenomenon, and then tests it through empirical observation and experimentation.

A hypothesis should be testable, falsifiable, and based on previous knowledge or observations. It should be specific and precise, with clear and measurable variables that can be manipulated and observed. A well-formulated hypothesis can guide scientific inquiry, provide a framework for data collection and analysis, and help to generate new knowledge and understanding of the natural world.

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Answer:

my x = ⅓

Step-by-step explanation:

\(6 + 3x = 7 \\ 3x = 7 - 6 \\ 3x = 1 \\ x = \frac{1}{3} \)

Answer:

\(area = {a}^{2} \\ = {20}^{2} \\ = 400 {cm}^{2} \\ thank \: you\)

Answer:

\(\huge\boxed{\sf A = 400\ cm\²}\)

Step-by-step explanation:

Side length of square = L = 20 cm

Formula:

Area of the square (A) = L² = L × L

Solution:

A = 20 cm × 20 cm

A = 400 cm²

\(\rule[225]{225}{2}\)

Hope this helped!

Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".

What is judicial activism?

Judicial activism is a judicial philosophy that is sometimes referred to as "legislating from the bench". It is an exercise of judicial review and generally refers to the willingness of a judge to strike down legislative or executive actions regarding constitutional issues. Judicial restraint is generally thought of as the opposite of judicial activism.[1]

Earlier in the january of 1947 ,Arthur Schlesinger Jr. introduced the term "judicial activism" .An article by Keenan Kmiec says that in its early usage, it was sometimes used with a positive connotation akin to the term "civil rights activist".

Thus , Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".

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