Paul scores 19 marks in a test and it is equivalent to 95%. What is the total mark for the test?

Answer:

Yes

Step-by-step explanation:

115 ÷ 17 = 6.7647

you can also round it up to 6.8

Answer:

1/2x+1=4

1/2x=3

x=6

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer: -2<x<3

Step-by-step explanation:

subtract seven on all sides

-10<5c<15

divide by 5 on all sides

-2<c<3

Approximately 76% of the respondents experienced their first marriage of mean is 23.33 after age 23,  If the area beyond the Z-score associated with age 23 is 0.24.

To determine the proportion of respondents who experienced their first marriage after age 23, we need to find the area under the standard normal curve beyond the Z-score associated with age 23.

Given:

Mean age at first marriage (μ) = 23.33

Standard deviation (σ) = 6.13

Age at first marriage (X) = 23

Area beyond Z-score (P(Z > Z-score)) = 0.24

To find the Z-score corresponding to age 23, we can use the formula:

Z = (X - μ) / σ

Z = (23 - 23.33) / 6.13

Z = -0.053 (rounded to three decimal places)

Now, we want to find the proportion of respondents who experienced their first marriage after age 23, which is equivalent to finding the area beyond the Z-score (-0.053).

Since the given area is beyond the Z-score, we can subtract it from 1 to find the area up to that Z-score:

Proportion = 1 - Area beyond Z-score

Proportion = 1 - 0.24

Proportion = 0.76

Therefore, approximately 76% of the respondents experienced their first marriage after age 23.

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Answer:

12.5%

Step-by-step explanation:

\( \frac{250}{2000} \times 100\%\)

= 12.5%

Percentage of total cost that is the payments= 12.5%

Answer:

Step-by-step explanation:

Answer:

There can be alot of equations for this since you didn't say anything specific. But since u didnt say anything specific, this can be one of the equations: 20 + 8, 30 - 2, 4 x 7

If the amount after 4 years is 844.13. Then the rate of the compound interest will be 3%.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Hannah contributes £750 and following 4 years has £844.13. Then the compound interest rate is given as,

844.13 = 750 (1 + r)⁴

(1 + r)⁴ = 1.1255

1 + r = 1.02999

r = 0.0299

r = 2.99%

r ≈ 3%

If the amount after 4 years is 844.13. Then the rate of the compound interest will be 3%.

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Answer:

y=2x+5, y=4x, y=-3+9/2x

Step-by-step explanation:

8x+4y=20 turns into:

y=2x+5

3y-12x=0 turns into:

y=4x

9x-2y=6 turns into:

y=-3+9/2x

Answer: B

Step-by-step explanation: because 2/3 = 0.66666, So 0.66 is greater than 0.6           Hope this helps. pls mark me brainliest :)

The probability of a core of the two odd number be 1/4.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The outcome of one die has no bearing on the outcome of the other since the two dice are independent.

In this instance, a complex event's probability is calculated by adding its component simple event probabilities.

Three odd and three even results occur from each roll of the dice. So, the probability of getting an odd number exists \($\frac{3}{6}=\frac{1}{2}$\)

The probability that this happens with both dice exists \($\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{4}$\)

It is relatively simple to list the "excellent" possibilities in this situation because there are a total of 36 outcomes (all numbers from 1 to 6 for one die and the same for the other die). The positive results are

(1, 1), (1, 3), (1, 5)

(3, 1), (3, 3), (3, 5)

(5, 1), (5, 3), (5, 5)

And in fact, 9 good outcomes over 36 total outcomes means

\($\frac{9}{36}=\frac{1}{4}$$\)

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Answer:

56 cuz he get 6 years more

Than maria

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Here is a possible program that meets the requirements: import java.util.Scanne imporjava.util.InputMismatchException; public class RestaurantOccupancy {
  public static void main(String[] args) {
     Scanner input = new Scanner(System.in);
     int occupancy = 0;
 

The program starts by importing the Scanner and InputMismatchException classes from the java.util package.

In the main method, we declare a Scanner object named input and an integer variable named occupancy initialized to 0.

The program enters a while loop that continues as long as the occupancy is less than 10. Inside the loop, we prompt the user to enter the number of people entering or leaving the restaurant, read the input as an integer using input.nextInt(), and store it in a variable named delta.

We then add delta to the occupancy variable to update the current occupancy, and print it to the console using System.out.println(). If an InputMismatchException is thrown (i.e., the user enters a non-integer value), we catch the exception, read the next token as a string using input.next(), and print an error message to the console.

Once the occupancy reaches or exceeds 10, the while loop exits, and we print a message indicating that the occupancy limit has been reached and the program is exiting.
Here is a step-by-step explanation for a program that meets the described requirements:

1. Import the necessary libraries:
```java
import java.util.Scanner;
import java.util.InputMismatchException;
```

2. Create a class and the main method:
```java
public class RestaurantOccupancy {
   public static void main(String[] args) {
```

3. Initialize the required variables and create a Scanner object for reading input:
```java
       int occupants = 0;
       int change;
       Scanner input = new Scanner(System.in);
```

4. Create a loop that continues until the number of occupants equals or exceeds 10:
```java
       while (occupants < 10) {
```

5. Use a try-catch block to handle the `InputMismatchException` exception:
```java
           try {
               change = input.nextInt();
               occupants += change;
               System.out.println("Number of people in the restaurant: " + occupants);
           } catch (InputMismatchException e) {
               input.next(); // Discard the invalid input
           }
```

6. Close the while loop, Scanner object, and the main method:
```java
       }
       input.close();
   }
}
```


       while (occupants < 10) {
           try {
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The required system of equation in the case of Darlene is 4x+6y=76, x+y=16. The yards of sateen fabric is 3, and the quilting fabric is 13.

A collection of two or more equations with the same set of unknowns is referred to as a system of equations. Both algebraic and visual solutions are possible for these equations. The intersection of two lines represents the location of the system of equations' solution. Darlene is making a quilt with two different fabrics, thus there will be two equations.

Let the amount of quilting be = x

Let the amount of santeen be = y

As per the given question,

The price of the quilting fabric = 4x and

The price often sateen fabric = 6y.

Therefore,

The 76$ she spends can be written as 4x+6y=76;

A total of 16 yards can be written as x+y=16;

So the required system of equations is:

4x+6y=76

x+y=16

Now,

x = 16 - y

Substitute this value of x into the second equation:

4(16 - y) + 6y = 76

64 - 4y + 6y = 76

4y = 76 - 64

4y = 12

y = 3

Yards of sateen fabric purchased = 3

Finding the amount of quilting fabric,

x = 16 - y

= 16 - 3

= 13

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To determine the profit that Gracie makes each week, she needs to subtract her weekly expenses from the weekly earnings of her cupcake shop.

Here is the table of earnings for the last 5 weeks:

Week Earnings

1              $1,200

2             $1,500

3             $1,100

4             $1,800

5             $1,400

To calculate the profit for each week, Gracie can use the following formula:

Profit = Earnings - Expenses

For example, to calculate the profit for week 1, Gracie would subtract her weekly expenses of $875 from her earnings of $1,200:

Profit for Week 1 = $1,200 - $875 = $325

Similarly, she can calculate the profit for each of the other weeks using the same formula.

Week  Earnings Expenses Profit

1             $1,200       $875              $325

2            $1,500       $875              $625

3            $1,100        $875              $225

4            $1,800       $875         $925

5            $1,400       $875         $525

Therefore, Gracie can determine the profit she makes each week by subtracting her weekly expenses from her weekly earnings.

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Answer:

p = 7

Step-by-step explanation:

Look at the picture hope this helps!

Step-by-step explanation:

450 - 396 = 54

(54/450) * 100% = 12%

Hence the decrease is 12%.

Answer:

Step-by-step explanation:

The way to solve is to divide the number.

396/450 = 0.88 or 88%

Now, we subtract 88 from 100 to get 12, since we wanted the percent decrease.

The degrees of the following expression are

(7x-2)° => x = 2/7°

18y° =>  y = 0°

(11x - 34)° =>  x = 34/11°

Degrees:

Degree is the unit of measure is used to measure the magnitude of an angle.

1 degree = 1/360 of a complete revolution in magnitude.

Given,

Here we have the following expressions

(7x-2)°

18y°

(11x - 34)°

Now, we have to find the value of x and y from it.

In order to find the value x and y , we have to equate every equation with 0. then we get the value of variables x and y.

When we take the first expression, and then we have to equate it with zero, then we get,

(7x - 2)° = 0°

7x = 2°

x = 2/7°

Therefore, the value of x is 2/7°.

Now, we have to take the second one and equate it with zero, then we get,

18y° = 0

y = 0°

Therefore, the value of y is 0°.

Finally, the value of the expression in degrees,

11x - 34° = 0

11x = 34°

x = 34/11°

Therefore, the value of x is 34/11 degrees.

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Answer:

x= 6

Step-by-step explanation:

10-20x+8x = -19x + 52

10 -12x= -19x +52

10 - 12x +19x =-19x +19x +52

10 + 7x= +52

10 -10 +7x= 52-10

+7x=42

7x= 42/7

x= 6

2(5- 10(6))+8(6)=-19(6)+52

2(5-60)+48=-114+52

10-120+48=-114+52

-110+48=-114+52

-62=-62✅

The value "e" in mathematics is a mathematical constant that is approximately equal to 2.71828 .

The Euler Number "e" is an important constant in calculus, analysis, and many other areas of mathematics .

The value "e" is an irrational number, which means that , the decimal expansion of "e" is non-repeating and non-terminating.

The value "e" is used in many mathematical formulas and functions, including exponential functions, logarithms, and the natural logarithm.

The Euler Number is also used in various scientific and engineering applications, which include  study of population growth, radioactive decay, and electrical circuits.

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Jeremiah has come up with an equation, p, to calculate the price of his taxi ride in New York City. The equation p represents the total cost of the taxi ride and includes variables such as the base fare, distance traveled, and any additional fees or surcharges. The specific values and coefficients of these variables in the equation determine the final price of the taxi ride.

The equation p that Jeremiah has developed is likely a mathematical representation of the pricing structure for taxi rides in New York City. It takes into account various factors that contribute to the overall cost of the ride. These factors may include a base fare, which is the initial cost incurred upon entering the taxi, a per-mile or per-minute charge for the distance or time traveled, and any additional fees or surcharges that may apply.

The equation p can be customized based on the specific pricing regulations and rates set by the taxi service or the local transportation authority. By plugging in the appropriate values for the variables in the equation, Jeremiah can calculate the total cost of his taxi ride.

It's important to note that the exact form of the equation p will depend on the specific pricing structure and regulations in New York City. Variables such as the base fare, distance traveled, and additional fees can vary across different taxi services and jurisdictions. Therefore, Jeremiah's equation p provides a personalized way for him to estimate and calculate the price of his taxi rides.

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Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate the price of his taxi ride, Jeremiah came up with the equation P = 1. 80 x 7+2. 50, where x is the number of miles or partial miles traveled in the taxi. Explain the meaning of the constant 2. 50 as it relates to the situation.

The probability that the jury will make a wrong decision when it reaches a decision by majority rule is 0.033

To solve this, the number of jury that makes the wrong decision can be modeled as a binomial random with parameters n=7 and p=0.2. This jury as a whole will make wrong decision if 4, 5, 6, or 7 make the wrong decision.

We denote these events with A, B, C, D for 4, 5, 6, 7 respectively. The probability of this union is the sum of probabilities, so

P(Jury Error) = P(A)+P(B)+P(C)+P(D)

  = \(\left({{7} \atop {4}} \right.)(0.2)^{4} *0.8^{3} +(\left \({7} \atop {5}} \right)(0.2)^{5} *0.8^{2} +(\left{7} \atop {6}} \right.)(0.2)^{6} *0.8^{1} +(\left{7} \atop {7}} \right.)(0.2)^{7} *0.8^{0}\)

   =0.033

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Answer:

0.0000889

Step-by-step explanation:

Conversion : -

1 mg = 0.00001 hg

8.90 mg

Multiply 8.90 with 0.00001 to convert to hg,

8.90 x 0.00001

= 0.000089 hg

The number of miles in 4 weeks is 20 mules

From the question, we have the following parameters that can be used in our computation:

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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Answer:

30 and 42

Hope this helps

The subset of represents the event "At least one HEAD is flipped" is  {HH, HT, TH}.

The event "At least one HEAD is flipped" refers to the outcome of flipping two coins where there is at least one head showing. To find the subset of the sample space S = {HH, HT, TH, TT} that represents this event, we need to identify the outcomes that satisfy the condition.

Looking at the sample space, we can see that three out of the four possible outcomes have at least one head: HH, HT, and TH. These outcomes represent the scenarios where at least one of the coins shows heads.

The outcome HH represents the scenario where both coins show heads, HT represents the scenario where the first coin shows heads and the second shows tails, and TH represents the scenario where the first coin shows tails and the second shows heads.

The outcome TT represents the scenario where both coins show tails and does not satisfy the condition of "at least one head."

Therefore, the subset of the sample space S that represents the event "At least one HEAD is flipped" is {HH, HT, TH}. These outcomes encompass all the possibilities where there is at least one head in the outcome of flipping two coins.

In summary, the subset {HH, HT, TH} represents the event "At least one HEAD is flipped" because these outcomes fulfill the condition of having at least one head in the result of flipping two coins, while the outcome TT does not satisfy this condition.

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The length of f, to the nearest 10th of an inch, is 12 inches.

In ΔDEF, d = 5.2 inches, e = 6.8 inches and ∠F=166°.

We have to find the length of f, to the nearest 10th of an inch.

So, in order to find the length of f, we first need to find the measure of angle D and angle E.

Angle D, We know that the sum of all angles of a triangle is 180°

∴ ∠D + ∠E + ∠F = 180°

Let's substitute the given values and solve for ∠D.∠D + ∠E + ∠F

= 180°∠D + ∠E + 166°

= 180°∠D + ∠E

= 180° - 166°∠D + ∠E

= 14°

Since ∠D and ∠E are adjacent angles, we know that∠D + ∠E = 180° - ∠F

By substituting this value in the above equation, we get;

180° - ∠F = 14°∠F = 180° - 14°∠F

= 166°

This is the same value given in the question.

This means that the given data is correct.

∴ ∠D + ∠E = 180° - ∠F

= 180° - 166°

= 14°

Use the Law of Cosines

We know that,In ΔDEF, a² + b² - 2ab cos(C) = c²

Let's substitute the given values.

a = 5.2e = 6.8∠C = ∠F = 166°

Let's solve for f.

f² = a² + b² - 2ab cos(C)f²

= (5.2)² + (6.8)² - 2(5.2)(6.8) cos(166°)f²

= 27.04 + 46.24 - 2(5.2)(6.8)(-0.9998)f²

= 73.28 + 69.97f² = 143.25f

= √(143.25)f

= 11.97 inches

≈ 12 inches

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(a) The fundamental matrix for the given system of equations is Φ(t) = e^(At).

Let's denote the given coefficient matrix as A:

A = [ -1 -4

      1 -1 ]

The fundamental matrix Φ(t) for the system is given by the matrix exponential of the coefficient matrix A multiplied by t:

Φ(t) = e^(At)

(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.

Finding the fundamental matrix φ(t) satisfying φ(0) = I:

To find the fundamental matrix φ(t) satisfying φ(0) = I, we substitute t = 0 into Φ(t):

φ(0) = Φ(0) = e^(A * 0) = e^(0) = I

So, the fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.

In summary, for the given system:

(a) The fundamental matrix Φ(t) is e^(At).

(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix, denoted as φ(t) = I.

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Answer:

45 and 225degrees

Step-by-step explanation:

Given the expression

tan⁻¹1

Using the calculator

tan⁻¹1

tan⁻¹1  = 45degrees

Since tan is positive in the third quadrant

theta=  180 + theta

theta = 180 + 45

theta = 225degrees

Hence the values of theta are 45 and 225degrees