Translate the phrase into an algebraic expression.
the sum of 6 and w

Answer: Option A

Prob[Rp,T ≤ E(Rp) × 3 - 1.960 × σp √3]

Step-by-step explanation:

It should be noted that, the VaR for a 3-year period with a 2.5 percent probability is Prob[Rp,T ≤ E(Rp) × 3 - 1.960 × σp √3]. Therefore, option A only is correct while other options are wrong

Answer:

A: Prob[Rp, I E(Rp) x 3 - 1.960 x Op V3]

Step-by-step explanation:

Answer:

The amount that came is \(\frac{-68}{3}\)

Step-by-step explanation:

The computation is shown below:

According to the question, it is mentioned that

Multiply 4 by \(-5\frac{2}{3}\)

First open the equation in a fraction it would be \(\frac{-17}{3}\)

Now multiplied the above fraction by a 4

That gives the result of \(\frac{-68}{3}\)

Hence, the amount that came is \(\frac{-68}{3}\)

We simply multiply the 4 with the given fraction

Thus the above represents the simplest form of the fraction

the solutions are:

The only information of h(x) that we have is the given graph.

To find the value of x, we need to go to the vertical axis and find y = 4, then we move horizontally to the left until we meet the curve.

That intersection will give the value of x for which h(x) = 4.

Doing that, we conclude that h(x) = 4 when x = 0 (on the vertical axis).

Now we want to find h(-2), and we can do that using the graph.

By finding x = -2 on the horizontal axis and then moving up until we intercept the graph, we can see that:

h(-2) = 2

Concluding, the solutions are:

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Answer:

4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.

Step-by-step explanation:

Given that the salsa is made with 6 parts tomato and 2 parts bell pepper.

Let t be tomatoes and b be bell peppers

The proportion will be:

t:b

The ratio of tomatoes to bell pepper will be:

6:2

This ratio simplifies to 3:1

This means no matter how much more the tomatoes and peppers are, the simplified ratio will be same.

Now the bell peppers are 1.5 cups then the proportion will be:

\(t:b::t:b\\6:2::t:1.5\\\frac{6}{2} = \frac{t}{1.5}\\3 = \frac{t}{1.5}\\t = 1.5 * 3\\t =4.5\)

Hence,

4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.

Answer:

If Mia wants to use 6 cups of rice, she would need to multiply the amount of each ingredient by 3, because the original 2 cups times 3 is the 6 cups she wants to use. So the new amount for the recipe would be this:

6 cups of rice

12 cups of milk  

1 cup of sugar  

3 handful of raisins

3 cinnamon sticks

When asking how many this will serve, we also multiply by 3 the original amount of people which is 4 to get 12 servings of Arroz con leche

===================================================

Work Shown:

\(P(A \cap B) = P(A) + P(B) - P(A \cup B)\\\\P(A \cap B) = 0.78 + 0.65 - 0.873\\\\P(A \cap B) = 0.557\\\\\)

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Side note:

A similar formula is \(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

We can isolate the last term to get the first equation shown above.

Answer:

===================================================

Work Shown:

-------------

Side note:

A similar formula is

We can isolate the last term to get the first equation shown above.

Step-by-step explanation:

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

Answer:

The value of the expression is 0.5.

Step-by-step explanation:

To evaluate, we need to do order of operations.

To solve, we start with the parenthesis because they come first in the order of operations.

-1+3[(10-12)³/(-16)]

-1+3[-2³/-16]

Now we do the second thing in the order of operations, which is to simplify the exponents.

-1+3[-8/-16]

Now we do the third thing left to do, which is to do division and multiplication from left to right.

-1+3[0.5]

-1+1.5

Now we do the last thing left to do, which is to do addition and subtraction from left to right.

0.5

So the value of this expression is 0.5.

We can subtract the function that represents the cost in 2000 from the function that represents the cost in 1990.

Doing this gives us \((-20t^{2}+1000)-(-10t^{2}+1500)=\boxed{-10t^{2}-500}\)

The maximum number of text messages that you can send or receive next month Next month, you can send or receive up to 45.54 text messages in total.

In mathematics, a point at which a function's value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum

Considering the information provided;

Given that the monthly expense is $34.99

and $0.11 for each text as well (sent or received)

Suppose y is the whole cost.

Set x as the quantity of text.

The test messages make up the difference between the cost of the plan and the $40 you must spend, which is represented by the equation

4034.99=5.01

in the model for the overall cost,

y=34.99+0.11x.

Count the number of messages you can send, you must divide.

5.01÷0.11

=45.54

The maximum number of messages is 45

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The minimum y-value of g(x) is -3 and g(x) has the smallest possible y-value.

The function  f(x) = 32 - 3 is a constant function, as there is no variable term involving x. It simplifies to f(x) = 29.

Regardless of the value of x, the function f(x) will always have a y-value of 29.

Therefore, option A is incorrect because there is no minimum y-value for f(x); it is a constant.

g(x) = 7x² - 3 is a quadratic function in the form of ax² + bx + c, where a = 7, b = 0, and c = -3.

The coefficient a (7) is positive, indicating that the parabola opens upward.

Since there is no linear term (bx), the vertex of the parabola is located at the point (0, -3), which corresponds to the minimum y-value of the function.

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The degree of the polynomial is 5 and the maximum number of real zeroes in the polynomial is 5.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics.

f(x) = 6x⁵ - 3x⁴ + 5x² + 4

According to the fundamental theorem of algebra, the polynomial with n number of degrees will have n number of zeroes and no more, so the zeroes will be the same here 5.

Therefore, The polynomial has a degree of 5, and it can have a maximum of five real zeroes.

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Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

Answer: the answer is 54

Step-by-step explanation:

Answer 54

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

split the shape into 3 separate rectangles, so you get a

5×12 rectangle

5×7 rectangle

5×12 rectangle

add the sums together to get 155

Answer:

22 cents per mile

Step-by-step explanation:

to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.

Answer:

==========================

Identities we will use:

===========================

Given expression:

Factorize it by completing the square and setting the difference of squares:

Answer:

8 hours

Step-by-step explanation:

−0.75x + 18 = -x+20

0.25x = 2

x = 8

Answer:

The expression simplifies to:

\((\frac{3p^2 + 49}{42p})^2 -(\frac{3p^2 - 49}{42p})^2\)

Using the difference of squares identity, the expression further simplifies to:

\(\frac{98p}{42p^2} = \frac{98}{42p}\)

Step-by-step explanation:

The given statement is a reasonable probability model because it fulfills the 4 conditions of binomial distribution.

The conditions for binomial distribution are;

1: The number of observations n must be fixed.

2: Each observation must be independent.

3: Each observation must represent one of two outcomes ("success" or "failure").

4: The probability of "success" p must be the same for each outcome.

Now, we are given the statement;

Joey buys a Virginia lottery ticket every week. x is the number of times in a year that he wins a prize.

From that statement, we can tell that the number of observations is fixed at 52 weeks since a year is made up of 52 weeks.

Secondly, we can say that there could be success by winning a price or failure by not winning the price.

Each weekly observation is independent.

The probability is the same for each outcome.

Thus, we conclude that since it fulfills all the four conditions then it is a binomial model.

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Answer: It is 10

Step-by-step explanation:

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

The fox population after 30 years is 675

From the question, we have the following parameters that can be used in our computation:

Initial population =75

Rate of growth = Triples every 15 years

Year = 30 years

The equation of the function can be represented as

y = 75 * 3^x

So, we have

x = 30/15

Evaluate

x = 2

Substitute the known values in the above equation, so, we have the following representation

y = 75 * 3^2

Evaluate

y = 675

Hence, the population is 675

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Answer:

B. causal relationships between two variables

Scatterplots show causal relationships between two variables. Option B is correct.

A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).

Here,

Given that, to justify Scatterplots,
Plotting a scattergram using the data points can assist in determining whether they have a probable relationship.

Thus, Scatterplots show causal relationships between two variables. Option B is correct.

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Answer:

Step-by-step explanation:

$15/(3 pounds) = $5/pound

8 pounds × $5/pound = $40

Answer:

9

Step-by-step explanation:

There are 9 students who spend the following number of hours in a typical day on the computer.

3,3,5,7,7,9,9,9,12

The mode is the number that is of the highest frequency in any given set of values.

The mode number of hours is the highest number of hours spent on the computer.

The number 9 occured the most times. Therefore the mode hour is 9

In general, the surface area of a cylinder is given by the formula below

Therefore, in our case,

Rounding to the nearest tenth,

Thus, the surface area is 502.7in^2

Answer:

180

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

The first thing you should start with is distributing the 6 inside the parentheses, which would give us (12x - 66) + 15 = 21. Now we can add like terms on this side of the equation to get: 12x -51 = 21. Add the 51 to the right side to get 12x = 72, then divide both sides by 12 to get x = 72/12 or 6.

x=6

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