shopkeeper marks an article for ₹300 he gives 5% discount for. cash payment how much does a customer has to pay while paying in cash?​

By the given condition we find that to calculate the cost of the notebooks and newspaper is impossible, from the given condition we get only no solutions.

Let the cost of the notebooks and newspaper in Liam's bookstore be x and y respectively.

According to the given question.

Liam's bookstore sold total 40notesbooks and 20 newspater for $130.

⇒ 40x + 20y = 130

⇒ 20(2x + y) = 130

⇒ 2x + y = 6.5 ...(i)

And the next day,

The bookstore sold 8 notebooks and 4 newspapers for $130.

⇒ 8x + 4y = 28

⇒ 4(2x + y ) = 28

⇒ 2x + y = 7 ...(ii)

Since, if we see the  two equations i and ii we find that the given conditions provide no solutions.

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the set of vectors (v1, v2, v3) is orthonormal.To determine if the set of vectors is orthonormal, we need to check two conditions: orthogonality and normalization.

Let's calculate the dot products between each pair of vectors:

(1/3, -1/2) ⋅ (1/3, 0) = (1/3)(1/3) + (-1/2)(0) = 1/9
(1/3, -1/2) ⋅ (1/3, 1/2) = (1/3)(1/3) + (-1/2)(1/2) = 1/9 - 1/4 = -1/36
(1/3, 0) ⋅ (1/3, 1/2) = (1/3)(1/3) + (0)(1/2) = 1/9

From these calculations, we can see that the vectors are not orthogonal since the dot prodproductsucts are not all zero.

To normalize the vectors, we divide each vector by its magnitude:

v1 = (1/3, -1/2) / sqrt((1/3)^2 + (-1/2)^2) = (1/3, -1/2) / sqrt(1/9 + 1/4)
v1 = (1/3, -1/2) / sqrt(4/36 + 9/36) = (1/3, -1/2) / sqrt(13/36) = (1/3, -1/2) / (sqrt(13)/6)
v1 = (2/3sqrt(13), -3/2sqrt(13))

v2 = (1/3, 0) / sqrt((1/3)^2 + 0^2) = (1/3, 0) / sqrt(1/9) = (1/3, 0) / (1/3)
v2 = (1, 0)

v3 = (1/3, 1/2) / sqrt((1/3)^2 + (1/2)^2) = (1/3, 1/2) / sqrt(1/9 + 1/4)
v3 = (1/3, 1/2) / sqrt(4/36 + 9/36) = (1/3, 1/2) / sqrt(13/36) = (1/3, 1/2) / (sqrt(13)/6)
v3 = (2/3sqrt(13), 3/2sqrt(13))

After normalizing the vectors, we have:

v1 = (2/3sqrt(13), -3/2sqrt(13))
v2 = (1, 0)
v3 = (2/3sqrt(13), 3/2sqrt(13))

Therefore, the set of vectors (v1, v2, v3) is orthonormal.

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Answer:

Explanation:

Given:

Height of the pole = 3.2m

Shadow of the pole= 1.69m

Shadow of the tower=38.5 m

Height of the tower = ?

Based on the given information, we can create similar triangles:

To find the height of the tower, we use ratio:

Therefore, the height of the tower is 73 meters.

Answer:

Joshua will have 150 cards.

Mackenzie will have 165 cards.

Answer:

Step-by-step explanation:

Perimeter is found by adding all the sides of a figure together. We have 2 lengths that are 10.5 long, and 2 widths that are 8.75 wide. Adding these together:

10.5 + 10.5 + 8.75 + 8.75 = 38.5 cm

this answer for # 2 question

Answer:

-27

Step-by-step explanation:

Answer:

-27 maybeeeeeeeeeeeee

It takes 9.6 minutes for Thoriso to get to school if she walks to school.

Given:

Thoriso can walk at a speed of 5 km/h.

Thoriso can ride her bicycle at a speed of 5 km/h.

The time taken by Thoriso to get to school by Bicycle = 10 minutes

To Find:

The time taken by Thoriso to get to school by walking.

Solution:

→ Thoriso can ride her bicycle at a speed of 5 km/h.

The time taken by Thoriso to get to school by Bicycle = 10 min = 1/6 hour

                               ∵ Distance = Speed × Time

∴ The distance that Thoriso need to cover to reach school = 5 × 1/6

∴ The distance that Thoriso need to cover to reach school = 0.8 km

→ Thoriso can walk at a speed of 5 km/h.

∴ The time taken by Thoriso to get to school by Walking = 0.8/5 = 0.16 Hr

∴ The time taken by Thoriso to get to school by Walking  = 0.16 Hr = 9.6 min

Therefore the time taken by Thoriso to get to school by Walking comes out to be equal to 9.6 minutes.

Answer:

inequality form

\(x \geqslant - 3\)

Answer:

3

Step-by-step explanation:

It would be 3 because the numbers with the variables are the same which is 2. Then if we would substitute the variables with the coridanates the equation would be 2x4 + 2x-2 = 12. Then if you solve the equation using pemdas you would get 4. 4 would not equal 12 which means the equation is not true. So 3 cannot use this set of numbers but the rest can.

The forecast value for time period 2 is 210, and the forecast error is -110 when the actual value is 100. Option B

To calculate the forecast value for time period 2, we substitute W = 2 into the regression equation:

y = 200 + W + 2W^2

= 200 + 2 + 2(2^2)

= 200 + 2 + 2(4)

= 200 + 2 + 8

= 210

Therefore, the forecast value for time period 2 is 210.

To calculate the forecast error, we compare the forecasted value with the actual value for time period 2. Given that the actual value is 100, the forecast error can be calculated as the difference between the actual value and the forecast value:

Forecast error = Actual value - Forecast value

= 100 - 210

= -110

Hence, the forecast error is -110.

Therefore, the correct answer is:

Forecast value = 210; forecast error is -110. So Option B is correct.

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Answer:

∠ W = 30°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos W = \(\frac{adjacent}{hypotenuse}\) = \(\frac{WY}{WX}\) = \(\frac{2\sqrt{21} }{4\sqrt{7} }\) = \(\frac{1}{2}\) \(\sqrt{\frac{21}{7} }\) = \(\frac{\sqrt{3} }{2}\) , then

∠ W = \(cos^{-1}\) ( \(\frac{\sqrt{3} }{2}\) ) = 30°

The probability that the hand contains 4 jacks is solved to be

0.003697

Probability is solved using the formula

= required outcome / possible outcome

The required outcome

= number of ways of picking 4 jacks * number of ways of 10 cards from 48

= ⁴C₄ * ⁴⁸C₁₀

= 1 * 6540715896

= 6540715896

The possible outcome

= number of ways of picking 14 card from possible 52 cards

= ⁵²C₁₄

= 1.768966345 * 10¹²

The probability

= required outcome / possible outcome

=  6540715896 / 1.768966345 * 10¹²

= 11 / 2975

= 0.00369747

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Answer:

C

Step-by-step explanation:

It has to be C because other wise an x value would be repeated. If an x value is repeated it is a relation not a function.

(a) The number of ways to choose 5 colors without replacement from 15 distinct colors, where the order of the choices is not relevant, is given by the combination formula. This is denoted as "15 choose 5," or 15C5, which is equal to 3,003.

(b) If the order of the choices is relevant, then the number of ways to choose 5 colors without replacement from 15 distinct colors is given by the permutation formula. This is denoted as "15 permute 5," or 15P5, which is equal to 3,003,600.

In part (a), we use the combination formula because we want to know the number of ways to choose 5 colors from 15 distinct colors without regard to the order of the choices. This formula is given by nCr = n!/(r!(n-r)!), where n is the number of items to choose from, and r is the number of items to choose. In this case, n = 15 and r = 5, so we have 15C5 = 15!/(5!(15-5)!) = 3,003.

In part (b), we use the permutation formula because we want to know the number of ways to choose 5 colors from 15 distinct colors, where the order of the choices matters. This formula is given by nPr = n!/(n-r)!, where n is the number of items to choose from, and r is the number of items to choose. In this case, n = 15 and r = 5, so we have 15P5 = 15!/10! = 3,003,600.

Overall, the key difference between part (a) and part (b) is whether or not the order of the choices matters. If the order doesn't matter, we use the combination formula (nCr), and if the order does matter, we use the permutation formula (nPr).

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Answer:

22.5 degrees and 67.5 degrees

Step-by-step explanation:

complementary angles add up to 90°

x + 3x = 90°

4x = 90

90/4 = x

x = 22.5

The first angle is 22.5

The second angle is 3 times as much

22.5 x 3 = 67.5

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Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

2

Step-by-step explanation:

if f(4), than -4^2=-16

5(4)=20

-16+20-2=2

If a hospital medical unit has 50 beds and the unit provided 1,420 days of service, the average daily census for the medical unit in May is 28.4.

To find the average daily census for a medical unit in May, we divide the total number of days of service provided by the number of beds in the unit. Here's how we do it:

According to the question, Total number of beds = 50 and Total number of days of service = 1,420

Average daily census = Total number of days of service / Total number of beds

Average daily census = 1,420/50

Average daily census = 28.4

Therefore, the average daily census for the medical unit in May is 28.4.

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Answer:

13.32cm squared

Step-by-step explanation:

Area of triangle is B X H X0.5

Answer:

Variant c

Step-by-step explanation:

c²=4*9

c=6

You can apply phyphagor

b²=6²+9²=36+81=117

\(3 \sqrt{13} \)

Answer:

4

Step-by-step explanation:

Answer:d

Step-by-step explanation:

the answer is:

9p = -3

p = -1/3

The remainder when N is divided by 1000 is 106.

The Principle of Inclusion-Exclusion, often known as PIE, offers a method/formula for organizing information about the size of each set, the number of elements in the union of a given set of sets, and the size of all potential set intersections.

From the question,

First, we think about all the possible divisions of the 7×1 board. Since we require at least one tile of each color, we exclude the cases of just one or two pieces.

Three pieces = 5+1+1 , 4+2+1 , 4+1+2 etc (6C2) = 15 ways

Four pieces = 6C3 = 20

Five pieces = 6C4 = 15

Six pieces = 6C5 = 6

Seven pieces =6C6 = 1

Now, we apply the Principle of Inclusion-Exclusion to consider how many ways to color them:

Three pieces : 3³ - 3 × 2³ + 3 = 6

Four pieces: 3⁴ - 3 × 2⁴ + 3 = 36

Five  pieces : 3⁵ - 3 × 2⁵ + 3 = 150

Six pieces : 3⁶ - 3 × 2⁶ + 3 = 540

Seven pieces : 3⁷ - 3 × 2⁷ + 3 = 1806

Adding them together, we get

15×6 + 20×36 + 15×150 + 6×540 + 1×1806 = 8106

Hence, the remainder when it is divided by 1000 is 106.

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Answer:

106

Step-by-step explanation:

Answer:

24 units²

Step-by-step explanation:

4(12)/2=24

To solve this equation, we need to distribute the 5/8 to the terms inside the parentheses. The solution to the equation is d = -5.

5/8(16d+24) = (5/8)(16d) + (5/8)(24)

Simplifying this expression, we get:

10d + 15 = 6d - 5

Now we can solve for d by isolating the variable on one side of the equation. First, we'll subtract 6d from both sides:

4d + 15 = -5

Next, we'll subtract 15 from both sides:

4d = -20

Finally, we'll divide both sides by 4:

d = -5

Therefore, the solution to the equation 5/8(16d+24)=6(d-1)+1 is d = -5.

5/8(16d+24)=6(d-1)+1. Here's a step-by-step explanation:

1. First, distribute 5/8 to both terms inside the parentheses on the left side:
  (5/8 * 16d) + (5/8 * 24) = 6(d - 1) + 1

2. Simplify the terms on the left side:
  (10d) + (15) = 6(d - 1) + 1

3. Next, distribute 6 to both terms inside the parentheses on the right side:
  10d + 15 = 6d - 6 + 1

4. Simplify the terms on the right side:
  10d + 15 = 6d - 5

5. Now, move all terms with 'd' to the left side and constants to the right side by subtracting 6d from both sides and subtracting 15 from both sides:
  10d - 6d = -5 - 15

6. Simplify both sides of the equation:
  4d = -20

7. Finally, solve for 'd' by dividing both sides by 4:
  d = -5

So, the solution to the equation is d = -5.

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0.40824 kg.

To calculate the standard deviation of the process if the manufacturer wants to implement six sigma quality and meet the design specification, you must use the population mean (8.00 kg) and the acceptable weight range of the product (7.40 kg - 8.60 kg).

Using the formula for population standard deviation, you can calculate the standard deviation as follows:
σ = √((8.60 - 8.00)2 + (7.40 - 8.00)2) / 2
= 0.40824
Therefore, the standard deviation for the process to meet the design specification with six sigma quality is 0.40824 kg.

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