b. In what time will Rs 10000 will yield a compound interest of Rs 2769​

Answer:

like here x= 3 and y= -15

here, its 5 times goes in negative

now if y = 10 TO X IS 5 TIME POSITIVE HERE = 10×5 = 50

The direction of vector D is perpendicular to vector A, and it makes an angle of 90 degrees with vector A.

We are given that:

vector A + vector B = vector C

vector A - vector B = vector D

To find the direction of vector C,

we can use the fact that the tangent of the angle between vector A and vector C is equal to the ratio of their magnitudes.

That is:

tan(theta) = |vector C| / |vector A|

where theta is the angle between vector A and vector C.

Similarly, to find the direction of vector D,

we can use the fact that the tangent of the angle between vector A and vector D is equal to the ratio of their magnitudes.

That is:

tan(phi) = |vector D| / |vector A|

where phi is the angle between vector A and vector D.

We want to find the angle between vector A and vector D, which is equal to the supplement of the angle between vector A and vector C.

That is:

theta + phi = 180 degrees

Rearranging, we get:

phi = 180 degrees - theta

Substituting the equations for theta and phi, we get:

tan(180 degrees - phi) = |vector D| / |vector A| = tan(phi)

Simplifying, we get:

tan(180 degrees - phi) = tan(phi)

Using the identity tan(180 degrees - theta) = -tan(theta), we can rewrite this as:

-tan(phi) = tan(phi)

Solving for phi, we get:

2*phi = 180 degrees

phi = 90 degrees

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Complete question may be:

If, vector A + vector B = vector Cvector A - vector B = vector D, then find the direction of vector D is perpendicular to vector A?

Answer:

Mind if ya brainiest meh

Step-by-step explanation:

The volume of the hemisphere is 1071.78 ft^3

Answer:

\( \boxed{ \bold{ \sf{ width \: of \: a \: rectangle = 5.5 \: inches}}}\)

\( \boxed{ \bold{ \sf{length \: of \: a \: rectangle =8.5 \ \: \: inches}}}\)

Step-by-step explanation:

Let the width of a rectangle be 'w'

Length of a rectangle = w + 3

Perimeter of a rectangle = 28 inches

To find : dimensions of the rectangle ( length and width )

Finding the width of a rectangle ( w )

\( \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}\)

\( \dashrightarrow{ \sf{28 = 2(w + 3 + w)}}\)

\( \dashrightarrow{ \sf{28 = 2(2w + 3)}}\)

\( \dashrightarrow{ \sf{28 = 4w + 6}}\)

\( \dashrightarrow{ \sf{4w + 6 = 28}}\)

\( \dashrightarrow{ \sf{4w = 28 - 6}}\)

\( \dashrightarrow{ \sf{4w = 22}}\)

\( \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{22}{4} }}\)

\( \dashrightarrow{ \sf{w = 5.5 \: inches}}\)

Width of a rectangle = 5.5 inches

Now, replacing / substituting the value of w in order to find the length of a rectangle

\( \sf{ length = 3 + w}\)

\( \dashrightarrow{ \sf{length = 3 + 5.5}}\)

\( \dashrightarrow{ \sf{length = 8.5 \: \: inches}}\)

Length of a rectangle = 8.5 inches

Hope I helped!

Best regards! :D

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Flush, straight flush, and royal flush probabilities are calculated as follows: 5148/2598960≅0.00198

A flush's likelihood (while eliminating straight and royal flushes) is 5108/2598960, ≅0.00196.

Finding the fraction with the number of ways to have a flush as the numerator and the number of possible five-card hands as the denominator will allow us to determine the likelihood.

Combinations will be used to find each of these numbers (we don't care about the draw order; only about what shows up in our hand). Combinations' general formula is Cn,k=n!/(k)!(n-k)! with k=picks and n=population

Let's first determine the denominator by selecting 5 cards at random from a deck of 52 cards: C52,5=52!/(5)!(525)!

=52!/(5!)(47!)

Let's assess it!

52×51×50^10×49×48^2×47!/5×4×3×2×47!=52×51×10×49×2=2,598,960

Let's now determine the numerator.

In order to examine each hand with five cards of the same suit, we will compute all hands that feature a flush (including straight flushes, royal flushes, and flushes) (with a suit having 13 cards in total). We can say that we understand this by:

C13,5

Remember that there are 4 suites in which this might occur, but we only want 1, so multiply by C4,1. Putting it all together, we obtain:

C4,1×C13,5=4!/(1!)(4−1)!×13!/(5!)(13−5)!=4!13!/3!5!8!

Let's assess this.

4!×13×12×11×10×9^3×8!/3×2×5×4!×8!=13×12×11×3=5148

(Remember that we just calculated all hands, including straight flushes and royal flushes, that have a flush component to them!

The probability of getting a hand with a flush is:

5148/2598960≅.00198

We may exclude straight and royal flush possibilities from the 5148 flush hands by excluding those hands (which are hands with 5 consecutive value cards in the same suit, such as 3, 4, 5, 6, and 7 of hearts). Since there are four suits and 10 potential ways to get a straight (A-5, 2-6, 3-7,..., 10-A), we can subtract 4 from 5148 to get 5108 hands, which gives us the result 5108/2598960=0.00196.

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

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Answer:

112 hours

Step-by-step explanation:

24 hours per day x 7 days per week

24 x 7 = 168

168 - (8 hours sleep * 7 days)

168 - (8x7)

168 - 56

112

The average of a distribution, also known as the mean, is calculated by dividing the sum of all the observations by the total number of observations.

To understand why this calculation yields the average, consider the following:

Summation of x: The sum of all the observations, denoted as Σx (capital sigma x), represents the total value obtained by adding up all the individual values in the distribution. For example, if we have a set of observations {2, 4, 6, 8}, the summation of x would be 2 + 4 + 6 + 8 = 20.

Number of observations: The total number of observations, denoted as N, represents the count of how many values are included in the distribution. Using the previous example, if we have the set of observations {2, 4, 6, 8}, the number of observations N would be 4.

Division: By dividing the sum of all the observations (Σx) by the total number of observations (N), we calculate the average. In mathematical notation, the average (mean) is expressed as:

Mean (average) = Σx / N

Using our previous example, the average (mean) would be: 20 / 4 = 5.

The division operation by the total number of observations normalizes the sum of the values, resulting in an average value that represents the central tendency of the distribution. It gives us a measure of the "typical" or "average" value within the set of observations.

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Answer:

Farooq gets £8.75

Step-by-step explanation:

Let's represent the amounts obtained by David, Eva and Farooq as D, E and F to make things simpler. Let M be the total amount of money shared

D = 2.50 and represents 1/6 of the total amount of money(M)

So

M/6 = 2.50

Multiply both sides by 6 => M = 2.50 x 6 = £15

Eva gets 1/4th of this so E = 15 x 1/4 = £3.75

David gets £2.50

Together they get £2.50 + £3.75 = £6.25

The balance goes to Farook so F = 15 - 6.25 = £8.75

Answer: Hope it helps!!

I believe it is B. as well

Desmos Graphing calculator is great for problems as well!

Answer:

30%

Step-by-step explanation:

A percent can be found by dividing the part by the whole, or

part/whole

In this case, the part is the amount he spent on fruit. The whole is the total amount he spent.

amount spent on fruit/ total amount spent

He spent $18 on fruit, and $60 in total.

$18/ $60

Divide 18 by 60

18/60

0.3

Convert 0.3 to a decimal by multiplying by 100 or moving the deicaml place two spots to the right.

0.3*100=30

0.3--> 3.0 --> 30

30%

He spent 30% on fruit.

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

Step-by-step explanation:

12.5

Number of laps in given distance is 12.5 laps.

Given:

Length of a track = 400 meter

Total distance = 3.1 miles

Find:

Number of laps in given distance

Computation:

We know that

1 miles = 1609.34 meter

So,

Total distance = 3.1 miles

Total distance = 3.1 × 1609.34

Total distance = 4988.954

Number of laps in given distance = 4988.954 / 400

Number of laps in given distance = 12.4723

Number of laps in given distance = 12.5 laps (Approx.)

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Answer:

(6,-7)

Step-by-step explanation:

take b as x2,y2

then apply mid point formula

x=(x1+x2)/2

y=(y1+y2)/2

Answer:  B = (-6, 7)

Step-by-step explanation:

Given: M = (4, -1)    A = (2, 5)

\(M_x=\dfrac{A_x+B_x}{2}\qquad \qquad \qquad M_y=\dfrac{A_y+B_y}{2}\\\\\\4=\dfrac{2+B_x}{2}\qquad \qquad \qquad -1=\dfrac{5+B_y}{2}\\\\\\8 = 2+B_x\qquad \qquad \qquad\quad -2=5+B_y\\\\\\6=B_x\qquad \qquad \qquad\qquad \quad -7=B_y\)

Answer:

a negative and a negative, and then a positive and a positive.

Step-by-step explanation:

-6-+5=-6-5

am not sure please tell me if thers something wrong

a) The value of c is f a probability density function will be c = 1/pi.

b)  that value of c, find P(-1) will be pi/2.

The value of c that makes f(x) a probability density function is:

c = 1/pi

a) For f(x) to be a probability density function, it must satisfy the following two conditions:

f(x) must be non-negative for all x.

The integral of f(x) over the entire real line must equal 1.

Let's first check the second condition:

Integral from negative infinity to positive infinity of \([c/(1+x^2)] dx = c * [arctan(x)]\)from negative infinity to positive infinity =\(c * [pi/2 + (-pi/2)] = c * pi.\)

So for the integral to equal 1, we must have:

c * pi = 1

Therefore, the value of c that makes f(x) a probability density function is:

c = 1/pi

b) To find P(-1<x<1), we need to integrate f(x) over the interval (-1, 1):

Integral from -1 to 1 of [c/(1+x^2)] dx = [arctan(x)] from -1 to 1 = [arctan(1) - arctan(-1)] = pi/2.

So, \(P(-1 < x < 1) = pi/2.\)

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AnswerThe first one the rabbit population would go down because the abundance on lynx

the sencond one would be the lynx population would increase because of the abundance of food

Step-by-step explanation:

I hope this helped :)

Answer:

The name of the solid with 20 faces that are congruent equilateral triangles is icosahedron.

The solid you are referring to is called an icosahedron. An icosahedron is a specific type of convex polyhedron that has 20 faces. In this case, all 20 faces are congruent equilateral triangles. Option d is correct answer.

To understand why this solid is called an icosahedron, let's break down the term. "Icosa-" comes from the Greek word for twenty, while "-hedron" means face. Therefore, an icosahedron is a polyhedron with twenty faces.

Each face of an icosahedron is an equilateral triangle, meaning that all three sides of the triangle are equal in length, and all three angles are equal to 60 degrees. Since all 20 faces are congruent, they have the same side lengths and angles.

The icosahedron has a total of 12 vertices and 30 edges. The vertices are the points where three edges meet, and the edges are the line segments connecting the vertices. The icosahedron has a symmetrical and regular structure, making it one of the five Platonic solids.

An icosahedron is a convex polyhedron with 20 congruent equilateral triangle faces, 12 vertices, and 30 edges.

Option d is correct answer.

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Answer:

33,600

Step-by-step explanation:

length=20m

wide=14m

area= 28m²

1m= 28

cost = 120*28= rs33600 per m²

Answer:

-5

Step-by-step explanation:

i just guessed so dont trip

Answer:

-5

Step-by-step explanation:

or -3-6+4

or-9+4

therefore -5

Answer:

the answer is ab

Step-by-step explanation:

you should go to the x axis and go to the four then go up 7 and it should land on the line in between a and b

Let me know if this helps :)

Answer:

20m

Step-by-step explanation:

total area =6*4=24m

area of the sand =2*2=4m

total area minis sand area =grass area

24-4=20m

Answer:

incomplete sentence More information At least please?

Answer:

Without additional context or information, it's difficult to determine the missing side length with certainty. However, we can use some logical reasoning to make an educated guess.

One possible way to approach this problem is to look for relationships between the known side lengths and the missing side length. For example, we can look at the lengths of the sides that are adjacent to the missing side and see if there are any patterns or ratios that might help us determine the length of the missing side.

In this case, we can see that the missing side is adjacent to sides with lengths of 8 and 9, which have a difference of 1. If we assume that the sides of the figure form a regular pattern or sequence, then we might guess that the missing side has a length that is 1 greater than 9, which would give us a length of 10 for the missing side.

However, this is just a guess based on the limited information provided, and there could be other possible solutions depending on the specific properties or context of the figure.

Based on the theoretical probability from the company, we can expect 5 vehicles out of 5000 to break down.

The answer of the subpart of the question are :-

a. The experimental probability of an N Motors breaking down can be calculated as the ratio of the number of vehicles that have broken down in the sample to the total number of vehicles in the sample:

Experimental probability = Number of vehicles that have broken down / Total number of vehicles in the sample

Plugging in the values given, we get:

Experimental probability = 100 / 5000 = 0.02

Therefore, the experimental probability of an N Motors breaking down is 0.02 or 2%.

b. The number of vehicles from the 5000 samples that can be expected to break down based on the theoretical probability from the company can be calculated as follows:

Expected number of vehicles that will break down = Theoretical probability of a vehicle breaking down * Total number of vehicles in the sample

Plugging in the values given, we get:

Expected number of vehicles that will break down = 0.001 * 5000 = 5

Therefore, based on the theoretical probability from the company, we can expect 5 vehicles out of 5000 to break down.

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The expected value of a binomial random variable is the mean number of successes in a given experiment. In this case, the binomial random variable is denoted by x and the probability of success is 0.84. If 67 trials are conducted, where n=67 and p=0.84. Thus, the expected value of x is 56.28.

This means that, on average, 56.28 successes out of 67 trials are expected to occur when the probability of success is 0.84. This can be visualized as rolling a dice with a 4/5 chance of success 67 times. The expected value represents the average number of times the dice will land on 4 or 5, which is 56.28. This is also the same as saying that 56.28 successes, on average, are expected to occur out of every 67 trials.

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Answer:

she would paint 350.4 square feet

Step-by-step explanation:

first you would find the surface area of one of the triangles, then multiple it by 2 because there are 2 triangles. next you would find the area of each individual rectangle. after that you would add up each of the measurements for the triangles and rectangles.

area of a triangle =1/2 base×height

Answer:

nooooooooooooooooooooo

Answer:

4 Liters

Step-by-step explanation:

Maria uses 8 flavor packets to make punch for a party. Each packet is mixed with 500 milliliters of water. How many liters of punch does Maria make?

Step 1

1 flavor packet = 500 ml

8 flavor packets = x ml

Cross Multiply

x ml = 8 × 500 ml

x ml = 4000 ml

Step 2

We convert from Milliliters to Liters

1 milliliters = 0.001 liter

4000 milliliters = x liter

Cross Multiply

x liters = 4000 milliliters × 0.001 liter/ 1 milliliters

x liters = 4 liters

Therefore, Maria can make 4 liters of punch

The best interpretation of the results would depend on the specific statistical analysis used and the results obtained.

The results indicated a statistically significant difference between the mean anticipated study times for men and women, the interpretation would be that men and women have different average anticipated study times for the introduction to statistics course.

Conversely, if there was no statistically significant difference, the interpretation would be that there is no evidence to suggest that men and women have different average anticipated study times for the course.

As the Minitab results are not provided in the question, I cannot interpret them.

Provide a general interpretation of the statistical analysis based on the information given.

The instructor was interested in seeing if there was a difference in the average amount of time that men and women anticipated studying for an introduction to statistics course in the summer.

To test this hypothesis, a group of men and women were randomly selected from the University of Florida.

The statistical analysis may have involved using a t-test or a similar method to compare the mean anticipated study times between men and women.

The results of this analysis would provide information on whether there is a statistically significant difference between the mean anticipated study times for men and women.

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