Evaluate the expression.

−5(−10−2(−3))squared

What is the value of the expression?

Enter your answer in the box.

X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.

A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.

The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.

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Answer:

D

Step-by-step explanation:

when x=0, y=2

Options A, B, and D all show a base area and height of a right rectangular prism with a volume less than 360 cubic feet.

V = Base Area x Height

To have a volume of less than 360 cubic feet, we need a combination of base area and height that satisfy:

`Base Area x Height < 360`

We can check each option provided to see if they satisfy this condition:

A) BA: 96 ft.², H: 3 ft.

`96 x 3 = 288 < 360`

This option satisfies the condition.

B) BA: 21 ft., H: 12 ft.

`21 x 12 = 252 < 360`

This option also satisfies the condition.

C) BA: 42 ft.², H: 9 ft.

`42 x 9 = 378 > 360`

This option does not satisfy the condition.

D) BA: 54 ft.², H: 6 ft.

`54 x 6 = 324 < 360`

This option satisfies the condition. (option-a,b,d)

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Answer:

x=4+ 2root14/4

by using quadratic formula

Answer:

Half;  twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

a. The pdf and then the expected value of the largest of the five waiting times is:

E(largest waiting time) ≈ 8333.33 minutes

b. The expected value of the difference between the largest and smallest times is:

E(difference) ≈ 7.40741 minutes

c. The expected value of the sample median waiting time is 5 minutes.

a. To determine the probability density function (pdf) of the largest waiting time, we can use the fact that the waiting times are uniformly distributed on the interval from 0 to 10 minutes. The pdf of a uniform distribution is constant within the interval and zero outside the interval.

Since the waiting times are independent and identically distributed, the probability that the largest waiting time is less than or equal to a given value x is given by the cumulative distribution function (CDF) of the uniform distribution:

CDF(x) = P(largest waiting time ≤ x) = \((x/10)^5\)

To find the pdf, we differentiate the CDF with respect to x:

pdf(x) = d/dx(CDF(x)) = \(5/10^5 * x^4\)

The expected value of the largest waiting time can be found by integrating the pdf multiplied by x:

E(largest waiting time) = ∫(x * pdf(x)) dx

                                     = ∫(x *\((5/10^5 * x^4)) dx\)

                                     = \(5/10^5 * \int\ {(x^5)} \, dx\)

                                     = \(5/10^5 * (1/6) * x^6\)

E(largest waiting time) = 5/60 * \((10^6)\)

                                     = 500000/60

                                      ≈ 8333.33 minutes

b. The difference between the largest and smallest waiting times can be calculated as:

Difference = largest waiting time - smallest waiting time

To find the expected value of the difference, we need to find the joint probability density function (pdf) of the largest and smallest waiting times. Since the waiting times are uniformly distributed, the joint pdf is constant within the region where the largest waiting time is greater than the smallest waiting time, and zero outside this region.

The probability that the largest waiting time is greater than a given value x and the smallest waiting time is less than a given value y can be calculated as:

P(largest waiting time > x, smallest waiting time < y) = \((x/10)^5 - (y/10)^5\)

To find the pdf, we differentiate the joint CDF with respect to both x and y:

pdf(x, y) = \(d^2\)/dxdy(CDF(x, y)) = \(5/10^5 * (5/10^5 * x^4) - (5/10^5 * y^4)\)

The expected value of the difference between the largest and smallest waiting times can be found by integrating the pdf multiplied by (x - y):

E(difference) = ∫∫((x - y) * pdf(x, y)) dx dy

                     = ∫∫((x - y) *\((5/10^5 * (5/10^5 * x^4) - (5/10^5 * y^4))\)) dx dy

The integration is performed over the region where x > y. The limits of integration for x are from 0 to 10, and for y, it is from 0 to x.

E(difference) ≈ 7.40741 minutes

c. The sample median waiting time can be determined by finding the median of the waiting times. Since the waiting times are uniformly distributed, the median is the midpoint of the interval from 0 to 10 minutes, which is 5 minutes.

Therefore, the expected value of the sample median waiting time is 5 minutes.

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The location of the treasure on the treasure map is (b) (7.6,8.8)

The ratio is given as:

\(m : n = 5 : 9\)

The coordinates of the rock and the tree are:

\(Rock =(3,2)\)

\(Tree = (16,21)\)

The x and y coordinates of the location of the treasure are:

\((x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})\)

So, we have:

\((x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})\)

\((x,y) = (\frac{107}{14},\frac{123}{14})\)

\((x,y) = (7.6,8.8)\)

Hence, the location of the treasure is (b) (7.6,8.8)

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By the sandwich's theorem,

the limit of the function f(x) at x→2 is 1.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

The functions;

g(x) = 1/{x²-4x + 5},

and h(x) = {2x²-8x +10}/{x²-4x+6}

If f is a function that satisfies g(x) ≤ f(x) ≤ h(x) for 0 < x < 5.

To find the limit at x→2.

\(\lim_{x \to \2} g(x) =\) 1/{2²-4(2) + 5} = 1

\(\lim_{x \to \2} h(x) =\) {2(2)²-8(2) +10}/{(2)²-4(2)+6} = 1

By the sandwich's theorem,

the limit of the function f(x) at x→2 is 1.

Therefore, 1 is the limit.

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Answer:

There are 12 possible ways in which the boys can sit together around the table.

Step-by-step explanation:

Given:

There are 2 boys and 3 girls.

There are 5 different chairs around a table.

We need to determine the number of ways the boys can sit together.

Now, let's calculate the number of ways these entities can be arranged around the table.

Step 1: Fix the position of the boys.

Since the two boys want to sit together, we can treat them as a single entity. So, we fix the position of this entity as one unit.

So, we'll have 4 entities in total

{BB, G, G, G},

where, 'BB' represents the two boys together, and 'G' represents each girl.

Step 2: Arrange the remaining entities.

We know that ,

Number of ways in which "n" members can sit around a round table is (n-1)!

So these entities can be arranged in (4 - 1)! = 3! = 6 ways around the table.

Step 3: Account for the arrangements within the boys' entity.

Within the entity 'BB' (the two boys), they can arrange themselves in 2! = 2 ways.

Step 4: Calculate the total number of arrangements.
We know that,  As per fundamental principle of counting ,

If a first job can be done in m ways and a second job can be done in n ways then the total number of ways in which both the jobs can be done in succession is m x n

Hence we get,

Total arrangements = (Number of arrangements of entities) * (Number of arrangements within the boys' entity)

Total arrangements = 6 * 2 = 12

Therefore, there are 12 possible ways in which the boys can sit together around the table.

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The number of possible ways they can be seated is 48.

Given that, two boys and three girls are going to sit around a table with 5 different chairs.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

ⁿPr= n!/(n-r)!

⁵P₂=5!/(5-2)!

3 girls can themselves be arranged in 3! ways.

2 boys can themselves be arranged in 2! ways.

Taking boys and girls as two units can be arranged in 2! ways.

Total number of ways of such arrangements=3!×2!×2!×2!

=6×2×2×2=48 ways.

Therefore, the number of possible ways they can be seated is 48.

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Answer:

2x+20

Step-by-step explanation:

Given

Age of Ethen = x

If Raj is 8 years older than Ethen, then;

Raj = x + 8

6 years time

Ethen age = x+ 6

Raj = x+8+6 = x+14

Sum of ages in 6 years time = x+6+x+14

Sum of ages in 6 years time = 2x + 20

Hence the required sum of ages is 2x+20

Answer:

integer natural and whole

Step-by-step explanation:

well oviously a integer because its a number and a natural i beleve because its not owned by any brakets such as a divide a multiply or a negitive so its naturalcand whole because ist a whole number and not split with fractions

Answer:

I think it is c

Step-by-step explanation:

I graphed it

Answer:

Please find the attached graph

Melinda sold 8 packages of coffee and 6 packages of pastries

Step-by-step explanation:

The parameters given are;

Number of Packages of coffee = x

Number of Packages of pastries = y

Price of each package of coffee = $6

Price of each package of coffee = $4

Number of packages of packages of coffee sold = 2 more than packages of packages pastries sold

x = 2 + y

y = x - 2................(1)

Sum of money made in the fundraiser = $72

∴ x × $6 + y × $4 = $72

y = ($72 - x × $6)/$4 = 18 - 3/2·x

y = 18 - 3/2·x.........(2)

The solution is

x - 2 = 18 - 3/2·x

x + 3/2 = 18 + 2 = 20

5/2·x = 20

x = 2/5×20 = 8

y = x - 2 = 8 - 2 = 6

This is the answer from plato/edmentum.

To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

The distance between points A and B can be determined using the given information about the angles and the distance between points A and C. AB = (sin(48°) * AC) / sin(110°) , the length of side AB represents the distance between points A and B.

Let's consider triangle ABC, where A and C are on the same side of the river, and B is on the opposite side. We are given that angle ACB is 48° and angle BAC is 110°. We want to find the distance between points A and B.

Using the Law of Sines, we can relate the angles and sides of a triangle. In this case, we can write the following equation:

sin(BAC) / AC = sin(ACB) / AB

Substituting the known values, we have:

sin(110°) / AC = sin(48°) / AB

We know the value of sin(110°) and sin(48°) from trigonometric tables or calculators. Solving for AB, we get:

AB = (sin(48°) * AC) / sin(110°)

Now, the length of side AB represents the distance between points A and B. By substituting the known value of AC, you can calculate AB. The resulting distance should be rounded to one decimal place, as requested.

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Answer:

how many candle stands does ayesha have

Hence, AYESHA has to BUY a MINIMUM of TWENTY-FOUR (24) CANDLES, and CANDLE STANDS.

Make a plan:

We need to find the Least Common Multiple (LCM) of 12 and 8, Which will give us the Minimum Number of Candles and Candle Stands Ayesha has to buy.

        1 - Find the Prime Factors of  12 and  8:

       12  =    2^2  *  3

        8   =    2^3

              LCM(12, 8 )  =  2^3  *  3  

                                   =     24

Hence, AYESHA has to BUY a MINIMUM of TWENTY-FOUR (24) CANDLES, and CANDLE STANDS.

I hope this helps you!

Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

Answer:

4b=x3(76)+10

Step-by-step explanation:

The 99% confidence interval for the mean daily return on this stock is (-2.97, 1.52). The correct answer is Lower limit: - -2.973 - Upper limit: 1.515.

A certain brokerage house wants to estimate the mean daily return on a certain stock.

A random sample of 11 days yields the following return percentages.

-1.36, -2.85, 2.33, 0.46, 0.9, -1.94, -2.19, 1.14, 0.1, -2.2, -1.26.

Confidence level = 99%df

= n - 1

= 11 - 1

= 10α/2

= (1 - confidence level) / 2

= 0.01 / 2

= 0.005

From the t-distribution table with 10 degrees of freedom at α/2 = 0.005, we get t0.005 = 3.169.

Using the formula, the confidence interval is calculated as follows:

CI = X ± t0.005 * s / √n

Here, sample mean X = (-1.36-2.85+2.33+0.46+0.9-1.94-2.19+1.14+0.1-2.2-1.26) / 11

= -0.7290909091

Sample standard deviation s = sqrt([Σ(xi - X)²]/(n - 1))= 1.726805996

Approximately, 99% of the intervals constructed in this manner contain the true population parameter, mean daily return on this stock.

Lower limit: -2.973

Upper limit: 1.515

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Answer:

9:17

Step-by-step explanation:

Answer: 9:17 am

Step-by-step explanation: I added all the minutes together and got 77 minutes. Then I simplified the 77 minutes into an hour and 17 minutes. Then I added the 1hour and 17minutes to 8:00 am.

Answer: 2 hours 15 minutes

Step-by-step explanation:

3/4 of an hour times 3 will be 9/4; each fourth is 15 minutes. 9 times 15 is 135 minutes, which is 2 hours and 15 minutes

Answer:

2.25 hours

Step-by-step explanation:

The man traveled 1/3 of the distance in 3/4 of an hour.

This means that he needs to travel for 3 times as long to travel the entire distance.

3 * 3/4 = 9/4 = 2.25

2.25 hours.

Or, 2 hours and 15 minutes (as 0.25 = 1/4).

Circle equation:

where (h, k) is the center of the circle and r is its radius.

c) Replacing with center at (4,3) and r = 5, we get:

d) Replacing with center at (2,-3) and r = 6, we get:

a) Replacing with center at (0,0) and r = 3, we get:

b) Replacing with center at (-2,-5) and r = 4, we get:

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

The one-day VaR of a $50 million portfolio with a daily standard deviation of 2% at a 95% confidence level is $1.65 million.

The VaR at a specific confidence level represents the maximum expected loss within a certain time frame. In this case, we are interested in the one-day VaR at a 95% confidence level.

The formula to calculate VaR is:

VaR  = Portfolio Value * z * Daily Standard Deviation

Where:

- Portfolio Value is the value of the portfolio ($50 million in this case).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.645.

- Daily Standard Deviation is the daily standard deviation of the portfolio returns (2% in this case).

Plugging in the values into the formula:

VaR = $50,000,000 * 1.645 * 0.02

VaR ≈ $1,645,000

Therefore, the one-day VaR of a $50 million portfolio with a daily standard deviation of 2% at a 95% confidence level is $1.65 million.

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Answer:

65 %

Step-by-step explanation:

625 out of 940 is what %  ?

625/940  x  100% = 66.49%

The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

Given that the line passes through the point (-6,8) and has a slope of -5/3.

We are required to find the equation of the line whose description is given.

Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation or cubic equation. Slope intercept form in the equation be y=mx+c.

We have been given slope be -5/3.

y=mx+c--------------1

Put m=-5/3 in equation 1.

y=-5/3x+c------------2

Put (-6,8) in equation 2.

8=-5/3 *(-6)+c

8=-5*(-2)+c

8=10+c

c=-2

Use the value of c in equation 2.

y=-5/3x-2

Hence the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

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Answer:

2

Step-by-step explanation:

The  probability of getting at least 12 successes is approximately 0.035, or 3.5% (rounded to the nearest tenth of a percent).

This is a binomial distribution problem with $n=90$ trials and probability of success $p = 1/6$, since getting a six on a single roll is a success. We are interested in finding the probability of getting at least 12 successes.

To calculate this probability, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring. In this case, the event of interest is getting at least 12 successes, so the complement event is getting 11 or fewer successes.

We can use the binomial probability formula to calculate the probability of getting 11 or fewer successes:

$P(X \leq 11) = \sum_{k=0}^{11} {90 \choose k} \left(\frac{1}{6}\right)^k \left(\frac{5}{6}\right)^{90-k} \approx 0.965$

Therefore, the probability of getting at least 12 successes is:

$P(X \geq 12) = 1 - P(X \leq 11) \approx 0.035$

So the probability of getting at least 12 successes is approximately 0.035, or 3.5% (rounded to the nearest tenth of a percent).

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