what is the equation of a line perpendicular to y=2.5x+5

This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.

The stratified sampling can be defined as the sampling from the population which is partitioned or divided into many parts.

Here, the lady has divided her day into three parts morning, afternoon and evening.

This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.

This is a type of stratified sampling.

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Answer:

Below in bold,

Step-by-step explanation:

a. There's is only one card that fits this description so

Probability = 1/52.

b. There are 2 black Kings so

Probability = 2/52 = 1/26.

c. There are 2 of these - 7 of diamonds and 7 of hearts

so

Probability = 2/52 = 1/26.

d.  There 13 diamonds and 13 hearts so

Probability = 26/52 = 1/2.

e.  There  26 black cards

Probability = 26/52 = 1/2.

Answer:

Explanation:

Mathematically, we know that:

In simple terms, when we have the same base, we simply go on to add the powers

We do the same thing here as follows:

Answer:

8,052

Step-by-step explanation:

(2,014 - 2,012) x (2,014 +2,012)

2 x 4,026

8,052

Answer:

The answer is 1 9/19

Step-by-step explanation:

Answer:

A and D are correct!

Step-by-step explanation:

The origin is 0,0

The x axis is the one that R is on right now

The correct statements are,

A) The point is 3 units right to the origin.

D) The x coordinate is 3.

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The point R is shown in graph.

Nom,

Since, The point R is shown in graph.

Clearly, The coordinate of R = (3, 0)

So, We have;

⇒ The point R is 3 units right to the origin.

And, The x coordinate is 3.

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Hey there!

Assuming #1 ….

x + 7x + x = 180°
REWORD

1x + 7x + 1x = 180°

COMBINE the LIKE TERMS

(1x + 7x + 1x) = 180°

8x + 1x = 180°

9x = 180°

DIVIDE 9 to BOTH SIDES

9x/9 = 180/9

CANCEL out: 9/9 because it equal 1

KEEP: 180/9 because it give you the x-value

NEW EQUATION: x = 180/9

SIMPLIFY IT!
x = 20
||||~~||||~~||||~~||||~~~||||~~||||~~||||~~||||~~~||||

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The sum of all the angles made at a point on a line where n lines meet, then the sum of (n+1) angles is 180°, as here, 2 lines meet at the center of the semicircle and so, 3 angles are here.So, by using this property we will be having the equation ;

\({:\implies \quad \sf x^{\circ}+7x^{\circ}+x^{\circ}=180^{\circ}}\)

\({:\implies \quad \sf 9x^{\circ}=180^{\circ}}\)

\({:\implies \quad \sf x=\dfrac{180^{\circ}}{9}=\bf \boxed{20^{\circ}}}\)

This is the required answer

Answer:

The answer is D. 1 cubic foot.

Step-by-step explanation:

To solve for the volume of a cube, use the formula V= \(a^{3}\). This is the formula because the volume of a cube formula equals length times width times height. Since the length, width, and height are all the same values, the simplest volume of a cube formula is \(a^{3}\).

Next, plug in the information from the question into the formula, which will look like V= \(1^{3}\). Then, solve the equation, and the final answer will be 1 cubic foot.

The probability that a student scored is 0.8.

To find the probability that a student scored less than 600 or took less than 4 years of math.

We need to add the probabilities of each of these events occurring separately, and then subtract the probability of both events occurring together.

Let P(L) be the probability that a student scored less than 600 and P(M) be the probability that a student took less than 4 years of math.

We are not given the joint probability of both events, so we need to calculate it using the formula:

P(L and M) = P(L) + P(M) - P(L or M)

where P(L or M) is the probability that a student scored less than 600 or took less than 4 years of math.

Assuming that the events of scoring less than 600 and taking less than 4 years of math are independent, we can calculate their probabilities separately:

P(L) = 0.35 (given)

P(M) = 0.25 (given)

To calculate P(L or M), we add the probability of scoring less than 600 to the probability of taking less than 4 years of math, and then subtract the probability of both events occurring together:

P(L or M) = P(L) + P(M) - P(L and M)

We don't have the value of P(L and M), so we cannot directly calculate P(L or M). However, we know that the sum of probabilities of all possible events is equal to 1.

Therefore, we can use the formula:

P(not L and not M) = 1 - P(L or M)

where P(not L and not M) is the probability that a student scored 600 or more and took 4 or more years of math.

Since we know that the events of not scoring less than 600 and taking 4 or more years of math are complementary to scoring less than 600 or taking less than 4 years of math.

We can use the complement rule to calculate P(not L and not M):

P(not L and not M) = 1 - P(L or M)

= 1 - (P(L) + P(M) - P(L and M))

= 1 - (0.35 + 0.25 - P(L and M))

= 0.4 - P(L and M)

Now we need to find P(L and M) to calculate P(not L and not M). We are not given this probability directly, so we cannot use the product rule.

However, we know that the number of students who scored less than 600 and took less than 4 years of math is 80, and the total number of students is 400. Therefore, we can use the formula:

P(L and M) = number of students who scored less than 600 and took less than 4 years of math / total number of students

= 80 / 400

= 0.2

Substituting this value in the formula for P(not L and not M), we get:

P(not L and not M) = 0.4 - P(L and M)

= 0.4 - 0.2

= 0.2

Therefore, the probability that a student scored less than 600 or took less than 4 years of math is:

P(L or M) = 1 - P(not L and not M)

= 1 - 0.2

= 0.8

So the probability that a student scored less than 600 or took less than 4 years of math is 0.8.

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Answer:

The correct answer is A.) as the diameter of a bubble increases, the volume of the bubble increases

Step-by-step explanation:

a comparative descriptive design differs from a typical descriptive design in the sense that it describes data from two different groups, whereas a typical descriptive design focuses on a single group.

A comparative descriptive design is utilized to describe objects as well as investigate variances in possible variations normally in the two or more groups in a situation. A comparative descriptive design analyzes description data acquired from distinct groups, which may have been constructed according to gender, age, educational qualification, medical issue, or sickness intensity.

A descriptive design is frequently employed to examine variables in a single sample. This descriptive strategy entails identifying the variables inside phenomena of interest, then measuring and characterizing these variables. The description of the activities can lead to an assessment of the conceptual significance of the data, as well as the formulation of potential correlations or theories that might drive future correlational or quasi-experimental investigations.

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The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

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Answer:

$460.

Step-by-step explanation:

\(Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\\)

So the price yesterday was $460

Complete question :

Mitch is making birdhouses to sell. He needs to make at least $678. Each birdhouse costs $28 to make. He is selling them for $40 each. What is the minimum he can sell to reach his goal?

Answer:

57

Step-by-step explanation:

you need to make $678 and it costs $28 to make it and you are selling it for $40 each .. What is the minimum you have to sell

Target profit = $678

Expenses per product = $28

Income per sale = $40

Profit per sale = $(40 - 28) = $12

Let number of sales or product = x

Hence,

$12 * x ≥ 678

12x ≥ 678

x ≥ 678 / 12

x ≥ 56.5

To the nearest whole number = 57

Therefore, the long-term value of one of these cars is approximately -12 hundred dollars, or -$1200.

To find the long-term value of one of these cars, we need to evaluate the value of F(x) as x approaches infinity.

Taking the given function F(x) = (70 - 12x) / (x + 1), as x approaches infinity, the numerator (-12x) dominates the denominator (x + 1) since the degree of x is higher in the numerator. Therefore, we can ignore the "+1" in the denominator.

So, F(x) ≈ (70 - 12x) / x as x approaches infinity.

Now, we evaluate the limit as x approaches infinity:

lim (x->∞) (70 - 12x) / x

Using the limit properties, we can divide each term by x:

lim (x->∞) 70/x - 12

As x approaches infinity, 70/x approaches 0:

lim (x->∞) 0 - 12 = -12

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Step-by-step explanation:

3(x+2)-(2x-1)=4(3-x)

3x+6-2x+1=12-4x

3x-2x+4x=12-6-1

5x=5

x=1

Answer:

x=1 2/5

Step-by-step explanation:

3x+6-2x-1=12-4x

x+5=12-4x

  -5   -5

x=7-4x

+4x  +4x

5x=7

/5   /5

x=7/5

x=1 2/5

I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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Answer:

6.43% change

Step-by-step explanation:

Have a good one

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The percent change from week 1 to week 3 rounded to the nearest tenth of a percent is 6.4%.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

First week:

Time taken to run 100 yards = 14 seconds

Third week:

Time taken to run 100 yards = 13.1 seconds

The percentage change in the time from the first week to the third week:

= [(Time taken at the first week - Time taken at the third week) / Time taken at the first week ] x 100

= [(14 - 13.1) / 14] x 100

= 0.9/14 x 100

= 6.4%

This means that there is 6.4% from the first week to the third week.

Thus,

The percent change from week 1 to week 3 rounded to the nearest tenth of a percent is 6.4%.

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Answer:

your answer would be 2 hours cause you know its not gonna be neither of the 3 hour cause it says it lasted 3 hours and that was over time and the other 2 was wrong so the answer is 2 hours

Answer:

First term = 9.

Common ratio = 2.

Step-by-step explanation:

A geometric sequence has a common ratio r.

If the first term is a:

10th term = ar^9 and 5th term is ar^4

so 1th term / 5th term = r^5

So 4608/144 = r^5

r^5 = 32

so r = 2.

Substituting for r in the 5th term:

a(2)^4 = 144

a = 144 / 16

a = 9.

Answer:

first term:9

common ratio: 2

Step-by-step explanation:

aₙ = a₁*rⁿ⁻¹

a₅ = a₁*r⁵⁻¹ = a₁*r⁴ = 144  ... (1)

a₁₀ = a₁*r¹⁰⁻¹ = a₁*r⁹ = 4608  ... (2)

(2)÷(1)  r⁵ = 32

r = 2

a₁ = 144 / 2⁴ = 9

Answer:

No, it is not.

Step-by-step explanation:

I mapped the equation with a graphing calculator. It is not linear.

Pls mark brainliest. Thanks!

Answer:

A-is farthest to the right on the number line

B-in the middle of the number line

C- farthest to the left on the number line

Step-by-explanation

If we have 3 random numbers we can conclude that a<c so we can say

A is farthest to the right

B in the middle

C: farthest to the left.

Useful Log Rules:

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

Part (a)

All logs shown below are base 3.

log(500) = log(5*100)

log(500) = log(5*10^2)

log(500) = log(5)+log(10^2) .... use log rule 1

log(500) = log(5) + 2*log(10) .... use log rule 3

log(500) = 1.4650 + 2*2.096 ....... substitution

log(500) = 5.657

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

Part (b)

All logs shown below are base 3.

log(2) = log(10/5)

log(2) = log(10) - log(5) .... use log rule 2

log(2) = 2.096 - 1.4650  ....... substitution

log(2) = 0.631

The x-coordinate of the centroid of the triangle ABC with vertices

A(-3, 3), B(2, 5), and C(4, -3) is 1.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

The centroid of a triangle is the common intersection point of all the medians of the triangle.

When vertices of a triangle is given the co-ordinate of the centroid are

(x₁ + x₂ + x₃)/3 and (y₁ + y₂ + y₃)/3.

Given, ΔABC has vertices A(-3, 3), B(2, 5), and C(4, -3).

Therefore, The x-coordinate of the centroid is,

Gₓ = (- 3 + 2 + 4)/3.

Gₓ = 3/3.

Gₓ = 1.

So, The x-coordinate of the centroid is 1.

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Answer:

I believe that your answer is 15

Step-by-step explanation:

Because you just add 12+3 .

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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