in jeff’s sample, the number of siblings each person has is as follows: one, two, three, four, and ten. what is the median number of siblings in his sample?

Step-by-step explanation:

just multiply both the values and get the quadratic solution.

The standard form of the (3x+1)(x+4) is 3x^2+13x+4=0.

We have given that,

(3x+1)(x+4) using the table of products.

We have to determine the standard form.

The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).

ax^2+bx+C=0

\(=3xx+3x\cdot \:4+1\cdot \:x+1\cdot \:4\)

\(=3x^2+13x+4\)

Therefore the standard form is 3x^2+13x+4=0.

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Part A: The interest Danny will owe on the loan is, $5,500

Part B: The total amount Danny will owe on his loan is,  $15,500

Part C: The monthly payments be for Danny's student loan is, $129.17

A: To calculate the interest Danny will owe on the loan, we can use the following formula:

Interest = Principal * Rate * Time

Where:

Principal = $10,000

Rate = 5.50% (expressed as a decimal)

Time = 10 years

So:

Interest = $10,000 x 0.055 x 10

             = $5,500

So the interest Danny will owe on the loan is $5,500.

B: To find the total amount Danny will owe on the loan, we add the interest to the original loan amount:

Total = Principal + Interest

Total = $10,000 + $5,500

        = $15,500

So the total amount Danny will owe on his loan is $15,500.

C: To calculate the monthly payments for Danny's student loan, we divide the total loan amount by the number of payments over the loan term.

Let's assume that Danny makes 12 payments per year, so he will make 120 payments in total over 10 years.

Monthly payment = Total / Number of Payments

Monthly payment = $15,500 / 120

                             = $129.17

So the monthly payments for Danny's student loan will be $129.17.

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Answer:

show the linear model to answer sorry

Step-by-step explanation:

Answer:

slope Formula

Step-by-step explanation:

If you have a line and you know the coordinates of a point on the line, (x1, y1); and you know the  slope, m, you can write the equation of the line in  point-slope form, y - y1 = m(x - x1). 2 variable data whose point pattern can be represented best by a line is said to have a linear  correlation.

The slope, meaning how steep a line is, is represented by the variable m for linear equations.

y - y1 = m(x - x1) is point-slope form, one type of linear equation to represent a straight line. (There is also standard form and slope-intercept form).

Correlation is the relationship between things, like 2 variable data.

Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. \(\frac{13 * 4}{25 * 4}\)

step 3: we get \(\frac{52}{100}\)

step 4: now we can easily write the decimal fraction. ie. 0.52

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Answer:

percentage loss = 20%

Step-by-step explanation:

percentage loss is calculated as

\(\frac{loss}{CP}\) × 100% ( CP is the cost price )

loss = SP - CP ( SP is selling price )

loss = CP - SP = 350 - 280 = 70 , then

percentage loss = \(\frac{70}{350}\) × 100% = 0.2 × 100% = 20%

Answer:

A and C

Step-by-step explanation:

Answer:

area: A = 8 m^2

Step-by-step explanation:

Area of a rectangle:  A = ab

Answer: Exact Form: is

\( \frac{399}{40} \)

Decimal form: 9.975 Mixed number form:

\(9 \frac{39}{40} \)

Answer:

8

Step-by-step explanation:

5 ( x - 3 ) + 2x = 41

5x - 15 + 2x = 41

5x + 2x - 15 = 41

7x - 15 = 41

7x = 41 + 15

7x = 56

x = 56 / 7

x = 8

Answer:

X=8

Step-by-step explanation:

Combine like terms: 5x + 2x = 7x

-15 + 7x = 41

Solving

-15 + 7x = 41

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 7x = 41 + 15

Combine like terms: -15 + 15 = 0

0 + 7x = 41 + 15

7x = 41 + 15

Combine like terms: 41 + 15 = 56

7x = 56

Divide each side by '7'.

x = 8

Answer:

That's incredible.  I have that exact problem on my website.

Here is my explanation.

My website says probability = 0.131944444444445

https://www.1728.org/occupncy8.htm

Step-by-step explanation:

H does not satisfy all three properties required for a subspace, we can conclude that H is not a subspace of R2.

The set H is a subspace of R2, we need to check if it satisfies the three properties required for a subspace

1. The zero vector is in H.

2. H is closed under vector addition.

3. H is closed under scalar multiplication.

Now each property

1. The zero vector (0, 0) is in H since it lies on the unit circle.

2. To check closure under vector addition, suppose we have two vectors (x₁, y₁) and (x₂, y₂) in H. If we add them together, (x₁, y₁) + (x₂, y₂), the resulting vector will not necessarily lie on the unit circle. For example, if we add (1, 0) and (-1, 0), the result is (0, 0), which is not on the unit circle. Therefore, H is not closed under vector addition.

3. To check closure under scalar multiplication, suppose we have a scalar c and a vector (x, y) in H. If we multiply them, c × (x, y), the resulting vector will not necessarily lie on the unit circle. For example, if we multiply (1, 0) by 3, the result is (3, 0), which is not on the unit circle. Therefore, H is not closed under scalar multiplication.

Since H does not satisfy all three properties required for a subspace, we can conclude that H is not a subspace of R2.

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The approximate side length of the square game board is 13.6 inches.

A square is a quadrilateral that has all its sides equal to each other.

Therefore,

area of a square = l²

where

area of a square = 185 inches²

Let's find the side length of the square game board as follows:

area of a square game board = 185 inches²

185 = l²

square both sides

l = √185

l = 13.6014705087

l = 13.6 inches

Therefore, the approximate side length of the square game board is 13.6 inches.

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Answer:

200km

Step-by-step explanation:

Answer: 1.8

Step-by-step explanation:

12/6.5

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &6 \end{cases} \\\\\\ A=550[1+(0.08)(6)]\implies A=550(1.48)\implies A=814\)

Answer:

Error....

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.

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.

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At least 2 equation needed for the solution of two variables

Around 68% of values are within 1 standard deviation from the mean with the probability that an exponentially distributed random variable takes on a value within one standard deviation of its mean.

As the empirical rule says, or also know as the 68-95-99.7 rule, tells where most of the values lie in a normal distribution, with this we know that:

Around 68% of values are within 1 standard deviation from the mean.

And around 95% of values are within 2 standard deviations from the mean.

And around 99.7% of values are within 3 standard deviations from the mean.

The empirical rule is a quick way to get an overview of the data and check for any outliers or extreme values that don’t follow the pattern.

If data from small examples do not follow the pattern closely, then other distributions like the t-distribution must be more appropriate. Once the identification of the distribution of the variable is done, then appropriate statistical tests can be applied.

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Answer:

$14

No explanation yet.

Answer:

$14

Step-by-step explanation:

14 dollars

The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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The pooled sample proportion requires two samples combined to estimate the single p instead of estimating p1 and p2 separately. Therefore, it's true.

It should be noted that the pooled sample of a proportion is the weighted average of the proportion from the two samples.

In this case, the combined pool sample is called the poooled sample proportion and it's used in expression of the standard error.

In conclusion, the correct option is true.

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Answer:

B

Step-by-step explanation:

44/77

=0.55

The given linear regression model wages = β0~ + β1~ Education + u~ aims to explain the relationship between wages and education level.

To determine if this model accurately measures the returns to education, we need to consider a few factors.
1. Assumptions: Linear regression models rely on several assumptions, such as linearity, independence, homoscedasticity, and normality of residuals. Violation of these assumptions can affect the accuracy of the model's estimates. It is important to check if these assumptions hold in the context of the wages and education relationship.

2. Significance of β1: The coefficient β1 represents the estimated effect of education on wages. A statistically significant and positive β1 indicates that an increase in education level is associated with higher wages. However, if β1 is not statistically significant, it suggests that education may not have a significant impact on wages.

3. Magnitude of β1: Even if β1 is statistically significant, the magnitude of the coefficient is essential in measuring the returns to education accurately. A larger β1 implies a higher increase in wages for each additional unit of education. Conversely, a smaller β1 suggests a lower return to education.

4. Control Variables: The model may need to consider other factors that could influence wages, such as experience, gender, or industry. By including relevant control variables, the model can better isolate the effect of education on wages and provide a more accurate measure of returns.

5. Data Quality: The accuracy of the model's estimates relies on the quality and representativeness of the data used. The dataset should encompass a wide range of education levels, wages, and relevant variables to obtain robust and reliable estimates.

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Taking the profit for every bucket of popcorn and every ticket sold, the linear inequality that represents their goal is 6x + 8y ≥ 5000, as further explained below.

A linear inequality is an inequality in which two expressions or values are not equal and are connected by an inequality symbol such as >, <, ≥, or ≤. A linear inequality can have one or more variables, and it defines a range of values that satisfy the inequality.

Now, to solve the question, let x be the number of popcorn buckets sold and y be the number of movie tickets sold. The profit from selling x popcorn buckets would be 6x and the profit from selling y movie tickets would be 8y. To represent the total amount of profits required to reach the goal of $5,000, we can use the following inequality:

profit from popcorn + profit from tickets ≥ goal

6x + 8y ≥ 5000

This means that the total profits from selling popcorn and movie tickets combined should be at least $5,000. Note that this inequality assumes that there are no other costs or expenses associated with selling the popcorn and tickets.

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Answer: We will use the QUADRATIC FORMULA.

x=7.6659375

Step-by-step explanation:

Use the Quadratic formula

a=-16,b=113,c=74

And then use the quadratic formula and you get x=7.6659375

To answer your question, we need to know the equation of the parabola. Let's assume the parabola's equation is in the form of y = ax^2 + bx + c.

(a) To determine if the parabola opens upward or downward, we need to look at the value of the coefficient 'a'. If 'a' is positive, the parabola opens upward. If 'a' is negative, it opens downward.

(b) The equation of the axis of symmetry is x = -b / 2a.

(c) The coordinates of the vertex can be found by substituting the axis of symmetry's value, x = -b / 2a, into the equation of the parabola. Vertex: (-b / 2a, f(-b / 2a))

(d) To find the x-intercept(s), we need to set y = 0 and solve for x. If the quadratic equation has real solutions, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a. If there are no real solutions, there are no x-intercepts.

To find the y-intercept(s), we need to set x = 0 and solve for y. In this case, y = c.

Please provide the equation of the parabola, and I can help you with the specific calculations.

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The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer:

12n +5n = -1 +3

17n=2

n=2/17

Step-by-step explanation:

Answer:

D = m/h

Step-by-step explanation:

Divide by h on both sides.

Answer:

49 all you have to do is add 10 to 39