What are the possible remainders when n^2 + 16m + 20 is divided by 11?

Answer:

what are the options

Answer:

watermelon ..........................................

Answer: watermelon

Step-by-step explanation:

they usually weigh 9-11kg

an apple or pencil is less than 10kg, and a car is way more than 10kg

a. The probability that the network crashes on both Monday and Tuesday is 0.1024; b. The probability that the network crashes for the first time on Thursday is 0.1389 ; c. The probability that the network crashes every day is 0.0001; d. The probability that the network crashes on at least one day is 0.3222.

We can approach this problem using the binomial distribution. Let X be the number of days in a week that the network crashes. Then X follows a binomial distribution with parameters n = 5 (number of days in a workweek) and p = 0.16 (probability of a crash on any given day).

a. The probability that the network crashes on both Monday and Tuesday is:

P(X = 2) = (5 choose 2) * (0.16)² * (1-0.16)³

= 0.1024

b. The probability that the network crashes for the first time on Thursday is the probability that it does not crash on Monday, Tuesday, or Wednesday, but does crash on Thursday and/or Friday. So:

P(X = 1) * P(no crashes on Monday, Tuesday, Wednesday) = (5 choose 1) * (0.16) * (1-0.16)⁴ * (0.84)³

= 0.3808 * 0.3652

= 0.1389

c. The probability that the network crashes every day is:

P(X = 5) = (5 choose 5) * (0.16)⁵ * (1-0.16)⁰

= 0.0001

d. The probability that the network crashes on at least one day is the complement of the probability that it does not crash at all during the week:

P(X >= 1) = 1 - P(X = 0)

= 1 - (5 choose 0) * (0.16)⁰ * (1-0.16)⁵

= 1 - 0.6778

= 0.3222

Therefore, a. The probability that the network crashes on both Monday and Tuesday is 0.1024; b. The probability that the network crashes for the first time on Thursday is 0.1389 ; c. The probability that the network crashes every day is 0.0001; d. The probability that the network crashes on at least one day is 0.3222.

To know more about probability check the below link:

https://brainly.com/question/251701

#SPJ4

Option a) $213.34 is the correct answer.

Given that, Suppose that you are 34 years old now and that you would like to retire at the age of 75. Furthermore, you would like to have a retirement fund from which you can draw an income of $70,000 annually. You plan to reach this goal by making monthly deposits into an investment plan until you retire. The amount to be deposited each month needs to be calculated. It is assumed that the annual interest rate is 8% and compounded monthly.

The formula for the future value of the annuity is given by, \(FV = C * ((1+i)n -\frac{1}{i} )\)

Where, FV = Future value of annuity

            C = Regular deposit

            n = Number of time periods

            i = Interest rate per time period

In this case, n = (75 – 34) × 12 = 492 time periods and i = 8%/12 = 0.0067 per month.

As FV is unknown, we solve the equation for C.

C = FV * (i / ( (1 + i)n – 1) ) / (1 + i)

To get the value of FV, we use the formula,FV = A × ( (1 + i)n – 1 ) /i

where, A = Annual income after retirement

After substituting the values, we get the amount to be deposited as $213.34.

Learn More about Annuity Deposits: https://brainly.com/question/30221653

#SPJ11

Answer:36 dad 9 charley

Step-by-step explanation:

Answer:

dad is 36 and charley is 9

Step-by-step explanation:

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

The water where the submarine reaches the bottom is approximately 212.43 meters deep.

To determine the depth of the water where the submarine reaches the bottom, we can use trigonometry.

The angle of depression of 13° tells us that the submarine is diving at an angle below the horizontal line.

The distance traveled diagonally, which is 890 meters, represents the hypotenuse of a right triangle.

Using trigonometric functions, we can find the length of the adjacent side, which represents the depth of the water.

In this case, we can use the tangent function:

tan(13°) = opposite/adjacent

We know the opposite side is the depth we're trying to find, and the adjacent side is the distance traveled diagonally.

Solving for the depth:

\(depth = 890 \times tan(13) \approx 212.43 meters\).

For similar question on trigonometry.

https://brainly.com/question/31589120

#SPJ11

Step-by-step explanation:

1. Increase amount = 40-25=15 Increase percent = (15/25)×100%= 60%.

2.Increase amount = 30-15 = 15. Increase percent = ( 15/15)× 100% = 100%.

3. Increase amount= 50-18=32 Increase percent= (32/18) x100% = 177.77%

4. Increase amount= 80-22=58 Increase percent= (58/80) x 100% = 72.5% -----> 73% (when rounded of to the nearest 10's).

5. Increase amount= 18-16=2 Increase percent = (2/18)×100 %= 11.111...% -----> 11% (when rounded of to the nearest 10's).

6. Increase amount = 10-3=7 Increase percent= (7/10)×100% = 70%.

7. Increase amount = 100-85 = 15 Increase percent = ( 15/100) × 100% = 15%

According to the question the median length of time required to review an application is the average of 52 and 57, which is \(\( \frac{52+57}{2} = 54.5 \)\) minutes.

To find the median length of time required to review an application, we need to arrange the given lengths of time in ascending order: 50, 52, 57, 230.

The median is the middle value in a sorted list. In this case, we have an even number of values, so we take the average of the two middle values.

Thus, the median length of time required to review an application is the average of 52 and 57, which is \(\( \frac{52+57}{2} = 54.5 \)\) minutes.

To know more about median visit-

brainly.com/question/15178881

#SPJ11

Answer:

look at the screenshot

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The angle is usually the same and they I believe it would be 24.18 if it's not then sorry for wasting your time.

The ECC of the lime is 71.25%, which means that the lime has an effective neutralizing power of 71.25% of pure calcium carbonate. It is important to note that this calculation assumes that the lime is pure and does not contain any impurities.

To calculate the ECC (Effective Calcium Carbonate) percentage, we need to consider the particle size analysis and the availability factor of the lime. The ECC is a measure of the neutralizing power of the lime, expressed as a percentage of pure calcium carbonate.

Using the particle size analysis and availability factor provided, we can calculate the ECC as follows:

ECC = (0.00 x 5%) + (0.05 x 25%) + (1.00 x 70%)

ECC = 0% + 1.25% + 70%

ECC = 71.25%

Therefore, the ECC of the lime is 71.25%, which means that the lime has an effective neutralizing power of 71.25% of pure calcium carbonate. It is important to note that this calculation assumes that the lime is pure and does not contain any impurities.

Find out more about impurities.

brainly.com/question/14161685

#SPJ4

Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

The Practice Operations with radical expressions is simplified using the basic of the Algebra:

Algebraic expressions incorporating radicals are known as radical expressions. The root of an algebraic expression makes up the radical expressions (number, variables, or combination of both). The root might be an nth root, a square root, or a cube root. Radical expressions can be made simpler by taking them down to their most basic form and, if feasible, getting rid of all of the radicals.

Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. An algebraic expression's numerator and denominator are multiplied by the appropriate radical expression if the denominator contains a radical expression.

Practice Operations with radical expressions are:

1) \(\sqrt{540}\) = \(\sqrt{36 * 15 }\)

= 6√15

2) \(\sqrt[3]{432}\) = \(\sqrt[3]{216*2}\)

= \(6\sqrt[3]{2}\)

3) \(\sqrt[3]{128}\) = \(\sqrt[3]{64*2}\)

= \(4\sqrt[3]{2}\)

4) \(-\sqrt[4]{405}\) = \(-\sqrt[4]{81*5}\)

= \(-3\sqrt[4]{5}\)

5) \(\sqrt[3]{-5000}\) = \(-\sqrt[3]{1000*5}\)

= \(-10\sqrt[3]{5}\)

Learn more about Radical expressions:

https://brainly.com/question/26637176

#SPJ4

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

Learn more about Functions here :

https://brainly.com/question/29067911

#SPJ1

Yes, it is possible to have a nonzero q-module (q-vector space) with finitely many elements. A nonzero q-module has at least two elements, which distinguishes it from the trivial module containing only the zero element. When the module has finitely many elements, it is referred to as a finite q-module.

In a q-module, the elements are combined through operations that follow the module's underlying ring or field structure. For instance, in a q-vector space, the operations are defined over a field, like the rational numbers (Q) or real numbers (R). These operations adhere to certain rules such as associativity, commutativity, and distributivity.

An example of a finite q-module is the integers modulo n (Z/nZ) as a Z-module, where n is a positive integer. In this case, there are n elements (0, 1, 2, ..., n-1), which form a finite set. The operations of addition and scalar multiplication are performed modulo n, making this a finite module.

In summary, it is possible to have a nonzero q-module with finitely many elements, known as a finite q-module. The operations within the module follow the rules set by its underlying ring or field, allowing for a structured combination of its elements.

Learn more about nonzero here:

https://brainly.com/question/3626552

#SPJ11

The maximum rectangular area that can be fenced can be

2499 sq meters.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know for a quadrilateral, A square has the maximum area.

We also know That the product of two numbers is maximum when the difference between them is minimum.

Given, A farmer has 2,000 meters of fencing and wants to use it to create a rectangular area for grazing.

So, 2(l + b) = 2000.

l + b = 1000.

For a square, it would be 500 and 500, But to be a rectangle it can be 49 and 51.

Therefore, The maximum area would be,

= (51×49) sq meters.

= 2499 sq meters.

learn more about rectangles here :

https://brainly.com/question/29123947

#SPJ1

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

Learn more about Percentage here

https://brainly.com/question/24877689

#SPJ11

Statement (a) is false and Statement (b) is true.

The given random variables V and W follow two different uniform distributions: V ~ U(-1, 0) and W ~ U(-1, 1), and they are independent.

The probability density function of a uniform distribution is given by f(x) = 1 / (b-a) for a ≤ x ≤ b.

The mean of V and W is (a+b)/2, and their variance is (b-a)^2 / 12.

To compute the mean and variance of V^2 and W^2, we find that the mean of V^2 is (b^2 + a^2)/2, and the mean of W^2 is (b^2 + a^2)/2. The variance of V^2 is (b-a)^2 / 12 + ((b+a)/2)^2, and the variance of W^2 is (b-a)^2 / 12 + ((b+a)/2)^2. Thus, V^2 and W^2 have the same distribution as their respective random variables V and W.

When a distribution is symmetrical, the mean, mode, and median are the same. This holds true for various symmetric distributions, such as the normal distribution. Therefore, the statement is true.

To know more about symmetric distributions refer here:

https://brainly.com/question/31184447#

https://brainly.com/question/28285791#

#SPJ11

Inverse distance weighting (IDW) spatial interpolation is a technique for estimating values at unknown places from nearby known values. The equation for IDW is: Z(x) = Σ [wi * Zi] / Σ wi. The power parameter (p) and the search radius (r) are among the IDW's parameters.

Spatial interpolation by inverse distance weighting (IDW) is a method used to estimate values at unknown locations based on nearby known values. It is commonly used in geostatistics and spatial analysis to fill in missing or unobserved data points in a continuous surface.

The equation for IDW is as follows:
Z(x) = Σ [wi * Zi] / Σ wi
In this equation,

Z(x) represents the estimated value at location x,

Zi represents the known value at location i, and

wi represents the weight assigned to each known value based on its distance from location x.

The parameters of IDW include the power parameter (p) and the search radius (r).

The power parameter determines the influence of each known value on the estimated value at the unknown location. A higher power value gives more weight to the closest points, while a lower power value spreads the influence of nearby points more evenly.

The search radius defines the distance within which neighboring points are considered for interpolation.

IDW has several properties that are important to consider:
1. Inverse relationship: IDW assumes an inverse relationship between distance and influence. Closer points have a greater influence on the estimated value than farther points.
2. Deterministic: IDW provides a deterministic estimate at each unknown location based on the known values within the search radius.
3. Smoothing effect: IDW tends to smooth out abrupt changes in the data. This can be an advantage when dealing with noisy or inconsistent data, but it can also result in the loss of detailed information.
4. Sensitivity to parameter selection: The choice of power parameter and search radius can significantly impact the results of IDW. It is important to select appropriate values based on the characteristics of the data and the desired outcome.

Learn more about interpolation:

https://brainly.com/question/18768845

#SPJ11

The polygon is a parallelogram and rectangle

The polygon is a parallelogram , quadrilateral and a rectangle

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

The polygon is represented as OPQR

Now , the number of sides of the polygon = 4

So , it is a quadrilateral

Now , the measure of sides of the quadrilateral are

OP = 20 units

PQ = 40 units

QR = 20 units

RO = 40 units

So, it has 2 congruent sides and they are parallel in shape

So, it is a parallelogram

Now, the 2 opposite pairs of sides of the parallelogram are equal

So, it is a rectangle

Hence, the polygon is a parallelogram and rectangle

Read more about parallelogram here:

https://brainly.com/question/3050890
#SPJ1

The direction of A with respect to B. N B 73° N A is 287

A direction is the way that something is moving, directing, or moving toward something or someone. The directions could be Up, Down, Left, and Right, or North, South, East, and West.

The ability to specify where one thing is in relation to another is known as position in mathematics. Defining direction entails explaining the direction in which something moves, such as forward, backward, or in a full or half turn.

It is possible to define direction using relative terms like up, down, in, out, left, right, forward, backward, or sideways. A direction can also be denoted by one of the four cardinal directions: north, south, east, or west.

Angles at a point add up to 360 degrees.

⇒ Bearing from A to B is = 360° - 73° = 287°.

To learn more about direction refer to:

https://brainly.com/question/25000908

#SPJ1

The 95% confidence interval for the mean sodium content of the "reduced sodium" hot dogs is calculated to be (297.70 mg, 322.30 mg).

To find the 95% confidence interval, we use the formula:
Confidence Interval = (sample mean) ± (critical value) * (standard deviation / √sample size)
Given that the sample mean sodium content is 310 mg, the standard deviation is 36 mg, and the sample size is 40, we need to determine the critical value for a 95% confidence level.The critical value corresponds to the level of confidence and the degrees of freedom, which is the sample size minus 1. Looking up the critical value for a 95% confidence level and 39 degrees of freedom in the t-distribution table, we find it to be approximately 2.024.
Plugging in the values into the formula, we get:
Confidence Interval = 310 mg ± (2.024) * (36 mg / √40)
Simplifying the expression, we find:
Confidence Interval ≈ (297.70 mg, 322.30 mg)Therefore, we can say with 95% confidence that the mean sodium content of this brand of "reduced sodium" hot dogs falls within the range of 297.70 mg to 322.30 mg.

Learn more about mean here

https://brainly.com/question/31101410



#SPJ11

Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning

Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

Learn more about learning platforms at

https://brainly.com/question/32908749

#SPJ4

Answer:

n^8

Step-by-step explanation:

\(\frac{n^{15} }{n^{7} } = n^{15-7} =n^{8}\)

Answer: D) $2,118.00

Step-by-step explanation:

1 year = 4.25% interest rate

18 years = 76.5% interest rate

76.5% = 0.765

Take 1200 times 0.765 = $918.00

$918.00 is the interest money he will receive after 18 years. We have to add both numbers to find the total.

$1,200 + $918.00 = $2118.00

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

Learn more about expression here:

https://brainly.com/question/23246712

#SPJ1

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning

when he averages 40 miles per hour, he arrives at his workplace thirty minutes late.

when he averages 60 miles per hour, he arrives thirty minutes early.

at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

learn more about of time here

https://brainly.com/question/29145579

#SPJ4