Which expression can go in the blank to make the equation true?
-2.9 + 2.8 + ____________ = 0

Answer:

  see below

Step-by-step explanation:

If your equations are the ones shown in the second attachment, then their solution is the one shown in the first attachment.

_____

Apparently, your "interactive graph" needs two points to draw a line through. For these equations, the x- and y-intercepts are found easily enough.

  -3x +3y = 9

To find the x-intercept, set y=0 and divide by the coefficient of x: 9/-3 = -3

To find the y-intercept, set x=0 and divide by the coefficient of y: 9/3 = 3.

  2x -7y = -14

Same procedure: x-intercept = -14/2 = -7; y-intercept = -14/-7 = 2.

All of these intercepts are shown in the third attachment. Using them, you can use your tool to plot the lines and estimate their point of intersection.

The correct answer is B. Increase the sample size and modify the design of the survey to decrease the standard deviation.

The confidence level in statistics denotes the likelihood that the estimation of the position of such a statistical parameter (e.g., an arithmetic mean) in a survey study is also true for such population.

Some characteristics of confidence level are-

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The complete question is-

A researcher is conducting a survey for which she currently has 93% confidence level. What would be two actions that she could take that would be most likely to increase the confidence level in her survey result?

A. Increase the sample size and modify the design of the survey to increase the standard deviation.

B. Increase the sample size and modify the design of the survey to decrease the standard deviation.

C. Decrease the sample size and increase the randomness of the survey sample.

D. Modify the design of the survey to increase the standard deviation and decrease the randomness of the survey sample

The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.

This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.

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cone’s radius r in terms of y is  r = 2(y + 5).

The quantity of space a cone encloses is referred to as its volume. It is the measure of the three-dimensional space occupied by the cone.

volume of a cone with a height of 9 inches as:

V = 3πy² + 30πy + 75π

Also, we are aware that the formula for a cone's volume with height hand radius r is

V = 1/3πr²h

Since we are looking for the radius of the cone in terms of y, we need to express h in terms of y. We can do this by noting that the height of the cone is 9 inches, and that it is made up of two parts: a smaller cone with height y and a larger frustum with height (9-y). The radius of the smaller cone is r/y times the radius of the larger frustum, so we can write:

h = y + (9 - y) = 9

r/y = r/(r + 3y)

As a result, the cone's volume may be represented as:

V = 1/3πr²(y + (9 - y))

= 1/3πr²(9)

Equating this to the given volume, we get:

1/3πr²(9) = 3πy² + 30πy + 75π

Simplifying and solving for r, we get:

r = √(4(y² + 10y + 25))

r = 2√(y² + 10y + 25)

Therefore, the cone's radius in terms of y is:

r = 2(y + 5)

So the answer is r = 2(y + 5).

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The area if base x height

8 x height = 96

Divide both sides by 8 to find the base size:

96 / 8 = base

base = 12

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The equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

To find the amount of space between the end of the wall and the painting, we need to subtract the length of the painting from the length of the wall and divide it by 2.

Given that the wall is 16.9 feet long and the painting is to be centered, we can assume the painting's length is unknown. Let's represent it as 'x'.

Therefore, the equation becomes (16.9 - x) / 2 = space between the end of the wall and the painting.

To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction, resulting in 16.9 - x = 2 * (space between the end of the wall and the painting).

Next, we simplify the equation to 16.9 - x = 2 * space.

To isolate x, we subtract 2 * space from both sides, resulting in x = 16.9 - 2 * space.

To determine the exact amount of space between the end of the wall and the painting, we would need to know the value of 'space'. Unfortunately, it is not provided in the question.

In summary, the equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

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According to the discrete distribution given, the salesman is expected to send 3.65 texts each day.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Considering the discrete distribution given in the model, we have that:

E(X) = 0.05(0) + 0.05(1) + 0.1(2) + 0.1(3) + 0.4(4) + 0.3(5) = 3.65

The salesman is expected to send 3.65 texts each day.

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Answer:

what are the numbers shown?

The diagram can be drawn as,

The surface area of the base is

The lateral surface area can be determined as,

The total surface area can be determined as,

Thus, the total surface area is 20 sq km.

We have to find the value of  `(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)`

Let's find all trigonometric ratios:

We can say that:

\($$\tan \theta= \frac{opp}{adj}= \frac{-4}{3}$$$$\text\)

{Using the Pythagorean Theorem we can find the hypotenuse }

\($$$$\text{Hypotenuse = } \sqrt{(-4)^2+(3)^2}\)

\(= \sqrt{16+9}\)

= \(\sqrt{25}\)

=\(5$$$$\)

Substituting the values of sinθ, cosθ and tanθ in `

\(= \frac{\frac{3}{5} + \frac{-4}{5} - \frac{-4}{3}}{\frac{-4}{5} + \frac{5}{3} - \frac{-3}{4}}$$$$\)

\(=\frac{\frac{9}{15} + \frac{-12}{15} + \frac{20}{15}}{\frac{-16}{20} + \frac{25}{12} + \frac{3}{4}}$$$$\)

\(=\frac{\frac{17}{15}}{\frac{-14}{15}}$$$$\)

\(=-\frac{17}{14}$$\)

Therefore, \(`(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)\)` is equal to

`-17/14` when `tanθ=−43` (Quadrant II).

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Parameter: p is the true proportion of AP exam multiple-choice questions with b as the correct choice.

Hypotheses: Null hypothesis, H0: p = 0.20 (b is not the most common correct choice), and Alternative hypothesis, Ha: p > 0.20 (b is the most common correct choice).

Based on the given data, we are interested in testing if b is the most common correct choice on advanced placement exams. To do this, we set up the null and alternative hypotheses, where the null hypothesis assumes that b is not the most common correct choice (p = 0.20), and the alternative hypothesis assumes that b is the most common correct choice (p > 0.20).

We then use a significance level of 0.05 and perform a one-sample proportion test using the given sample data. The test results show that we have strong evidence to reject the null hypothesis and conclude that b is the most common correct choice on advanced placement exams, with a sample proportion of 0.225, a z-score of 3.056, and a very small p-value. Therefore, we can infer that b is a popular choice among test-takers when it comes to multiple-choice questions on advanced placement exams.

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--The complete question is, Multiple-choice questions on advanced placement exams have five options: a,b,c,d, and e. A random sample of the correct choice on 400 multiple-choice questions on a variety of advanced placement exams shows that b was the most common correct choice, with 90 of the 400 questions having b as the answer.

Define parameters and state hypothesis.--

In 2.22 years, there will only be 50,000 African penguins left.

Since the population of African penguins is cut in thirds every year, we can use the exponential decay model to describe its population as follows:

P(t) = P₀(1/3)^t

where P(t) represents the population after t years, and P₀ represents the initial population in 2000, which is 200,000.

So, the formula for the population of African penguins after t years is:

P(t) = 200,000(1/3)^t

To find how many years it will take for the population to be reduced to a certain number, we can plug in that number for P(t) and solve for t.

For example, if we want to find out how many years it will take for the population to be reduced to 50,000, we can write:

50,000 = 200,000(1/3)^t

Divide both sides by 200,000:

1/4 = (1/3)^t

Take the natural logarithm of both sides:

ln(1/4) = ln[(1/3)^t]

ln(1/4) = t ln(1/3)

Solve for t:

t = ln(1/4) / ln(1/3)

Using a calculator, we get t ≈ 2.22 years.

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The similar triangles in the question, with proportional sides indicates;

4. The proportion that must be true is the option G

G. 4/6 = 7/x

Similar triangles are triangles are triangles that have the same shape but may have different sizes.

The possible triangles in the question includes two triangles with specified side lengths AB = 6 inches, AC = 7 inches, DE = 4 inches, DF = x inches

The definition of similar triangles indicates that we get;

DE/AB = EF/BC

DF/AC = DE/AB

DF/AC = EF/BC

Therefore;

(x/7) = 4/6

The correct option which indicates the proportion that must be true, therefore is option G

G. 4/6 = x/7

Part of the question includes two triangles, please see attached diagram created with MS Excel

The possible proportions, from which to select the proportion that must be true are;

F (7/x) = (4/6)

G 4/6 = x/7

H 6/4 = x/7

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Answer:

3% of the figure is shaded

Fraction: 3/10

Decimal: 0.3

Hope this helped

I'm assuming that you are talking about sequences <3

In the context of a recursive formula where we have "n-1" in sub-index of "a", you can think of "a" as the previous term in the sequence. In the context of an explicit formula like "-5+2(n-1)" "n-1" represents how many times we need to add 2 to the first term to get the nth term.

Dw if you don't understand, sequences and functions isn't an easy topic

Step-by-step explanation:

The first differences are 7,9,11,13,15,17 and the second differences are 2.

This means that the first term of the sequence is n^2.

Subtracting n^2 from the sequence gives 6,10,14,18,22,26, which has nth term of 4n + 2.

So putting these together gives a nth term of the quadratic sequence of n^2 + 4n + 2.

Hope it helped and tell me if I went wrong :)

x + 5 = (5 − x) − 5, which has one solution, represents the given situation.

Option A is correct.

What is the system of linear equations?

A system of linear equations is a collection of one or more linear equations that are solved simultaneously. A linear equation is an equation that can be written in the form ax + b = 0, where x is the variable, and a and b are coefficients.

A. x + 5 = (5 − x) − 5, which has one solution.

This is the correct answer because the equation represents the given situation that Jenna is x years old and in 5 years she will be as old as Jessica was 5 years ago which means Jenna's age in five years is x+5 and Jessica's age five years ago is 5 - x, by equating the age of Jenna in five years and Jessica's age five years ago we get x+5 = 5-x-5. Solving this equation we get x = 0, the age of Jenna is 0 and the age of Jessica is 5, which is a unique solution.

Hence, x + 5 = (5 − x) − 5, which has one solution, represents the given situation.

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Answer:

It's the one in the bottom

Step-by-step explanation: 8 x + 14 has no solution in their section because 4 -7 is 3 meaning that it's correct yw

Answer:

b and d

Step-by-step explanation:

if you solve them be is 3=2 and d is 1= -8 so they have no solution.

hope this helps

The sample size 350 should be taken to provide a 95% confidence interval with a margin of error of 0.05.

According to the statement

We have to find that the sample should be taken to provide a confidence interval with a margin of error.

For this purpose, we know that the

The  confidence interval is the probability that a population parameter will fall between a set of values for a certain proportion of times.

And

With the given information

In the survey as

p* = 0.35

confidence interval=95%

E=margin of error = 0.05

and then

\(a=(\frac{z}{E} )^{2} *pq\)

and substitute the values

\(a=(\frac{1.96}{0.05} )^{2} *0.35*0.65\)

then the sample is 350.

So, The sample size 350 should be taken to provide a 95% confidence interval with a margin of error of 0.05.

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The formula from above is the compound interest formula

We need to deposit $466.2 every month in the account.

Interest earned = P(year)(0.06)(25)

Interest = 5594.4 (0.06) (25)

Interest = $8391.6

Answer: 26 46

Step-by-step explanation:

Answer:

26, 46, 23......

Step-by-step explanation:

Each number is divided by 2 then added by 20.

Answer:

$240

Step-by-step explanation:

30 (the weeks in 7 months) times 8 (his weekly savings) = 240

Answer:

69000

Step-by-step explanation:

math

The relationship between the incidence angle θ₁ and refraction angle θ₂ can be plotted using Snell's Law in MATLAB or Microsoft Excel.

The plot will vary depending on the refractive indices of the two mediums involved. The cases to consider are when n₁ = 1.2 × n₂, n₁ = n₂, and n₁ = 0.8 × n₂. The plot should also mark the angle of total internal reflection.

Snell's Law describes the relationship between the angles of incidence and refraction when light passes through the interface of two different mediums.

It can be expressed as n₁sin(θ₁) = n₂sin(θ₂), where n₁ and n₂ are the refractive indices of the first and second mediums, respectively, and θ₁ and θ₂ are the angles of incidence and refraction.

To plot the relationship, you can start by selecting a range of incidence angles, θ₁, and calculate the corresponding refraction angles, θ₂, using Snell's Law. Then, plot θ₁ on the x-axis and θ₂ on the y-axis. Repeat this process for each case: n₁ = 1.2 × n₂, n₁ = n₂, and n₁ = 0.8 × n₂.

When n₁ = 1.2 × n₂, you will observe a plot where the refraction angle θ₂ is smaller than the incidence angle θ₁ for all values. This indicates that the light is bending less when passing from the first medium to the second medium.

When n₁ = n₂, the plot will show a linear relationship between θ₁ and θ₂. The refraction angle will be proportional to the incidence angle, and the slope of the line will be determined by the refractive index.

When n₁ = 0.8 × n₂, you will observe a plot where the refraction angle θ₂ is greater than the incidence angle θ₁ for all values. This indicates that the light is bending more when passing from the first medium to the second medium.

To mark the angle of total internal reflection, you need to find the critical angle. The critical angle is the incidence angle at which the refraction angle becomes 90 degrees.

Beyond this angle, total internal reflection occurs, meaning the light is completely reflected back into the first medium. In this case, you can calculate the critical angle using the equation sin(θ_c) = n₂/n₁. On the plot, mark the critical angle as well as any incidence angles beyond the critical angle where total internal reflection occurs.

By plotting the relationship between the incidence angle and refraction angle using Snell's Law, you can visualize how light bends as it passes through different mediums and observe the occurrence of total internal reflection at specific angles.

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The mean for the low income group is the average of all the values in the group.

It is calculated by adding up all the values and then dividing by the total number of values. In the low income group, the mean is calculated by adding up all the incomes, and then dividing by the total number of people.

The median for the low income group is the middle value when all the values are arranged in order. To calculate the median, first arrange the incomes in order from lowest to highest, and then find the middle value.

The standard deviation for the low income group is a measure of how spread out the values are. It is calculated by taking the square root of the variance, which is calculated by taking the average of the squared difference between each value and the mean, and then dividing by the number of values.

The mean for the high income group is the average of all the values in the group. It is calculated by adding up all the values and then dividing by the total number of values. In the high income group, the mean is calculated by adding up all the incomes, and then dividing by the total number of people.

The median for the high income group is the middle value when all the values are arranged in order. To calculate the median, first arrange the incomes in order from lowest to highest, and then find the middle value.

The standard deviation for the high income group is a measure of how spread out the values are. It is calculated by taking the square root of the variance, which is calculated by taking the average of the squared difference between each value and the mean, and then dividing by the number of values.

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Answer: 25

Step-by-step explanation:

Given

The dimension of the candy bars cartoons is \(2\times 3\times 4\ ft^3\)

Dimension of the closet is \(6\times 6\times 17\ ft^3\)

Now, the volume of the closet is

\(V=6\times 6\times 17=612\ ft^3\)

The volume of the candy bar cartoons

\(V_o=2\times 3\times 4=24\ ft^3\)

The number of candy bars that can be put inside the closet is

\(\Rightarrow \dfrac{V}{V_o}\\\\\Rightarrow \dfrac{612}{24}=25.5\approx 25\)

i.e. 25 bars can be inside the closet

Answer:

265

Step-by-step explanation:

You can use the distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Answer:

265

Step-by-step explanation:

Answer:

-6.2

=

7°c ÷ 5hrs (difference between 3pm to 8pm)= 1.4

3×1.4= 4.2

7+4.2=11.2

5-11.2=-6.2

(sorry if it's wrong)

Answer:

151

A

Step-by-step explanation:

sa= 2πrh+2πr^2

sa= 2*pi*10+2*pi*2^2