Will the sign of the product of 2 negative numbers be negative or positive

Answer:

Our goal is to understand how range and interquartile range describe data. To do this, we have to define the range and interquartile range of a given set of data, we have to be able to calculate the range and interquartile a range of a given set of data, and then we want to be able to determine how range and interquartile range are impacted by outliers.

So how can you describe data with range and interquartile range? Range tells us if data is grouped closely together or spread far apart. Interquartile range tells us if data is grouped closely around the median. The key concepts. Range is the difference of the maximum and minimum values.

So if we wanted to calculate the range of this particular data set here, we would say 20 minus 1 and get a range of 19. Interquartile range is the difference of the upper and lower quartiles. In order to do this, we first have to find the median to find those upper and lower quartiles. The median of this data set, the value in the middle, is 6. The lower quartile is the median of the lower half, the middle value then of these three data points being 3.

The upper quartile would be the middle of this data set, and that would be 8. So if we wanted to find the interquartile range, we'd subtract those values. 8 minus 3 gives us an interquartile range of 5. Interquartile range describes the spread of data around the median.

A small interquartile range means that most of the data, the middle half, is clustered tightly around the median, whereas a large interquartile range would mean that that data that's in the middle is more spread out. And finally, outliers impact the range, but have little impact on the interquartile range. If we consider our data set here, we see that we have an outlier of 20, but it really only impacts the range.

It does not play a significant role on the interquartile range.

Step-by-step explanation: also brainleist

Hence your answer will be D

The smallest initial number that results in a win for Bernardo is 31.

Here's the breakdown of how the game would play out:

If Bernardo starts with any number less than 31, the final number will be less than 100 and Bernardo will win. Any number greater than 31 will result in Bernardo losing.

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The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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If you perform multiple t-tests, the Type I error increases.

When conducting multiple t-tests, each individual test has a certain probability of committing a Type I error, which is the probability of incorrectly rejecting the null hypothesis when it is actually true. The standard threshold for Type I error is typically set at 5% (or 0.05).

However, when multiple tests are performed, the probability of committing at least one Type I error across all the tests increases. This is known as the problem of multiple comparisons or multiple testing.

The more tests you perform, the higher the likelihood of observing a significant result by chance alone, leading to an increased Type I error rate.

To address this issue, it is common to adjust the significance level (e.g., using Bonferroni correction) or conduct post hoc comparisons using methods such as Tukey's test or Bonferroni adjustment.

These methods help control the overall Type I error rate when multiple comparisons are made.

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Answer:

5

Step-by-step explanation:

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

Answer:

The 15th term is 103

Step-by-step explanation:

Arithmetic Sequence

An arithmetic sequence is a list of numbers with a definite pattern by which each term is found by adding or subtracting a fixed quantity to the previous term. If n is the number of the term, then:

\(a_n=a_{n-1}+d\)

Where d is called the common difference. If we know the first term, the nth term is calculated by:

\(a_n=a_1+(n-1)*d\)

The question asks us to find the term n=15 of an arithmetic sequence with a common difference d=7 and first term a1=5.

Applying the formula above:

\(a_{15}=5+(15-1)*7\)

\(a_{15}=5+14*7\)

\(a_{15}=5+98=103\)

The 15th term is 103

Answer:

5 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let h be the hypotenuse , then

h² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

h = \(\sqrt{25}\) = 5

Nonnegativity conditions impose b. upper bounds on the decision variables in an optimization problem.  The correct answer is b. Upper bounds on the decision variables.

They ensure that the variables cannot take negative values and are typically used when the variables represent quantities that cannot be negative, such as quantities of goods or resources.

By setting an upper bound of zero or a positive value, the nonnegativity condition restricts the feasible region of the optimization problem to only include nonnegative values for the decision variables.

This is a common constraint in many optimization models to reflect real-world limitations or practical considerations.

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Answer:

5x + 5

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 2x + 3 + 3x + 2 ← collect like terms

= 5x + 5

Answer:

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)

(f+g)(x)=2x+3+3x+2

(f+g)(x)=5x+5

It looks like they want you to type just

5x+5

Answer:

80+100=supplementary, right? A sup. angle is 2 angles making 180 digres.

Answer:

$7798.84

Step-by-step explanation:

please mark brainliest if correct

Answer:

If A is the distance from the center of the dilation to a vertex of the pre-image, and B is the distance from the center of the dilation to the corresponding vertex on the image, then B/A is the scale factor of the dilation.

Step-by-step explanation:

The rule about the distance from the center of dilation to the vertices of the pre-image and image is \((x,y) \to (kx,ky)\)

Dilation involves changing the size of a shape.

Assume the image is shape B, and the pre-image is shape A

The scale factor would be to divide the side length of the image, by the corresponding side length of the pre-image

So, the scale factor (k) is:

\(k = \frac BA\)

Hence, the rule of dilation is:

\((x,y) \to (kx,ky)\)

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In this problem, we consider the moment generating function (m.g.f.) of a random variable X, denoted as ψχ(t). We are asked to prove three properties of the moment generating function.



(a) To show that ψχ(0) = 1 for any random variable X, we substitute t = 0 into the definition of the moment generating function: ψχ(t) = E(e^(Xt)). When t = 0, we have e^(Xt) = e^(0) = 1. Therefore, ψχ(0) = E(1) = 1.

(b) To prove that ψy(t) = e^(bt) * ψχ(at) when Y = aX + b, we substitute the expression for Y into the definition of the moment generating function: ψy(t) = E(e^(Yt)). Using the linearity of the expectation, we have ψy(t) = E(e^((aX + b)t)). By rearranging terms and using the fact that e^(bx) = (e^x)^b, we can write ψy(t) = e^(bt) * E(e^(aXt)), which is equal to e^(bt) * ψχ(at).

(c) To show that ψz(t) = ψχ(t) * ψy(t) when X and Y are independent and Z = X + Y, we start with the definition of the moment generating function for Z: ψz(t) = E(e^(Zt)). By using the property of independent random variables and the definition of Z, we can express ψz(t) as the product of the moment generating functions of X and Y: ψz(t) = E(e^(Xt) * e^(Yt)) = E(e^(Xt)) * E(e^(Yt)) = ψχ(t) * ψy(t).

Thus, we have demonstrated the three properties of the moment generating function as required.

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Answer:

Step-by-step explanation:

9

Answer:

The rate of change of the radius of the cone when the radius is 3 inches is 0.\(\overline 3\) inch/minute

Step-by-step explanation:

The given parameters are;

The radius of the cone = 3 inches

dV/dt = 9·π in.³/min

The height, h = 3 × Radius, r

The formula for the volume of a cone, V is V = 1/3×π×r²×h = 1/3×π×r²×3×r = π·r³

Therefore, we have;

dV/dt = dV/dr × dr/dt

dV/dr =3·π·r²

∴ dr/dt = dV/dt/(dV/dr) = 9·π/(3·π·r²) = 3/r²

When r = 3 inches, we have;

dr/dt = 3/r² = 3/(3²) = 1/3 inch/minute

The rate of change of the radius of the cone when the radius is 3 inches = 0.\(\overline 3\) inch/minute

Answer: there aren’t any questions attached lol maybe try again?

Answer:

this is the answer

Step-by-step explanation:

20:15=20/15=4/3=n

Hence, 1:n=3:4

Answer:

see explanation

Step-by-step explanation:

look at the explanation& answer photo

If a business had sales of $4,000,000, and a margin of safety of 25%, the break-even point was is c. $1,000,000.

The margin of safety is the difference between the actual or expected sales and the break-even point. In this case, if the margin of safety is 25%, it means that the business is generating sales that are 25% higher than the break-even point.

To calculate the break-even point, we can use the following formula:

Break-even point = Fixed costs / Contribution margin ratio

The contribution margin ratio is the difference between the sales price and variable costs, divided by the sales price. We don't have enough information to calculate it directly, but we can use the margin of safety to estimate it.

If the margin of safety is 25%, it means that the contribution margin ratio is 25% of the sales price. So, the variable costs must be 75% of the sales price, and the contribution margin ratio is 25%/100% = 0.25.

We know that the sales are $4,000,000, but we don't know the fixed costs. However, we can use the break-even formula to solve for it:

$1,000,000 = Fixed costs / 0.25

Fixed costs = $250,000

Therefore, the break-even point is $250,000 / 0.25 = $1,000,000.

Based on the given information, the break-even point for the business with sales of $4,000,000 and a margin of safety of 25% is $1,000,000.

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a) Rocky Mountain should order 200 tires each time it places an order.

b) The total cost of this policy is $17,160.

a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:

If fewer than 200 tires are ordered: The purchase price is $25 per tire.

If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.

If 8,000 or more tires are ordered: The purchase price is $13 per tire.

Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.

b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:

Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200

Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950

Therefore, the total cost of this policy is $40,950.

Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.

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To solve the problem we must know about the Remainder Theorem.

According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.

The roots of the function are -7, 2, and 4.

Given to us

We know (x+7) is the factor of the function, f(x) = \(5x^3+5x^2-170x+280\),

therefore,

\(f(x) =5x^3+5x^2-170x+280 = [(x+7) \times quotient] + Remainder\)

As (x-2) is the factor of the function, therefore, the remainder will be zero for the equation,

\(\rm quotient=\dfrac{5x^3+5x^2-170x+280}{(x+7)}\)

\(\rm quotient=5x^2-30x+40\)

Solving the quadratic equation,

\(5x^2-30x+40\\\text{Dividing the equation by 5}\\\\=x^2-6x+8\\=(x-2)(x-4)\)

Hence, the roots of the function are -7, 2, and 4.

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Answer:

its b

Step-by-step explanation:

The missing values in the ratio table are presented by completing the ratio table as follows;

Fish:    \({}\)   6,  3,  12,  15

Snails:  \({}\)  2,  1,   4.   5

A ratio table is a table used to present or describe the relationship between two quantity values.

The given ratio table of Fish to Snails is presented as follows;

Fish:    \({}\)   6,  3,  _,  15

Snails:  \({}\)  2,  _,  4.  _

Whereby the ratio of fish to snails is a constant, c, we have, from the first data point;

\(c = \dfrac{6}{2} = 3\)

Which gives;

\(c = \dfrac{The \ number \ fishes}{The \ number \ of \ snails}\)

The number of fishes = 3 × The number of snails

When the number of fishes = 3, we have;

\(3 = \dfrac{3}{The \ number \ of \ snails}\)

\(\therefore \ The \ number \ of \ snails = \dfrac{3}{3} = 1\)

When the number of fishes = 3, the number of snails = 1

Similarly, when the number of snails = 4, we have;

The number of fishes = 3 × 4 = 12

When the number of fishes = 15, then; \(3 = \dfrac{15}{The \ number \ of \ snails}\)

\(\therefore The \ number \ of \ snails = \dfrac{15}{3} = 5\)

The completed table is therefore;

Fish:    \({}\)   6,  3,  12,  15

Snails:  \({}\)  2,  1,   4.   5

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Given the equation,

Complete squares as shown below,

Thus,

Similarly,

Therefore,

Finally, the standard form is.

As for the vertices, foci, and asymptotes,

Foci: (-1,-1/2), (9,-1/2)

Vertices

Vertices: (8,-1/2), (0,-1/2)

Asymptotes:

Asymptotes: y=3x/4-7/2 and y=-3x/4+5/2

Answer:

time = 70 minutes

Answer:

The answer will be 10

Step-by-step explanation:

2/1/5=10

The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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