Determine the total time spent outside by all the children

If the point (3, -2) were reflected across the y-axis what would be the new y-coordinate is same as before, which is -2.

If a point (x, y) is reflected across the y-axis, its x-coordinate becomes its opposite (-x), while its y-coordinate remains the same.

In this case, the point is (3, -2). If we reflect this point across the y-axis, its x-coordinate will become its opposite, which is -3. The new coordinates of the reflected point will be (-3, -2).

Therefore, the new y-coordinate is still -2, as the point is only being reflected across the y-axis and not moving up or down in the y-direction. The change is only in the x-coordinate, which becomes its opposite.

To learn more about point reflected click on,

https://brainly.com/question/31325764

#SPJ1

Answer:

Step-by-step explanation:

This is S(oh)C(ah)T(oa)

Since X is on the adjacent leg of the triangle, you want to use COSINE

The Cos(18)=x/25

Multiply cos(18) by 25, and you get 23.7764129074.

Answer:

COS(18)=x/25

COS(19)*25= 23.776

Answer:

-2

Step-by-step explanation:

This graph is a graph of f, that states it is equal to g'. We're graphing the first derivative, so that means g(3) is the integral of f, or the area under the curve. g'(3) is just asking for the y value that corresponds to the x value of f, because f and g' are equal.

g = ∫f

g' = f

And by extension,

g'' = f'

Because we're looking at a graph of f, finding f' is just finding the slope at f(3). Rise over run, -2 over 1, so g''(x) = f'(x) = -2

The difference in the Beatles length is 1 / 10 centimeters.

We have,

The lengths of Beetles are 4/5 cm and 7/10 cm.

So, the difference in the beetles length can be calculated as

difference between the beetles length = 4 / 5 - 7 / 10

                                                                 = 8 - 7 / 10

                                                                  = 1/10 cm

Thus, the difference in beetles length is 1/10 cm.

learn more about difference here:

brainly.com/question/30449218

#SPJ1

Step-by-step explanation:

Right triangles obey Pythagorean theorem :

?^2  = 2^2 + 9^2

?^2 = 85

? = sqrt 85  ft

Answer:

85ft

Step-by-step explanation:

Answer:

2(1/2)(3)(4) + 2(4) + 2(5) + 2(3)

= 12 + 8 + 10 + 6 = 36 square feet

(x, y) → (-x, -y) represents a rotation 180° clockwise.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rotation is the flipping of a figure about a point. Translation is the movement of a point either up, down, left or right in the coordinate plane. Dilation is the increase or decrease in the size of a figure.

(x, y) → (x - 7, y + 2) represents a translation 7 units left and 2 units to the up.

(x, y) → (-x, -y) represents a rotation 180° clockwise.

(x, y) → (x + 3.5, y + 3.5) represents a translation 3.5 units right and 3.5 units to the up.

(x, y) → (-x, y) represents a reflection over the y-axis

Find out more on transformation at: https://brainly.com/question/4289712

#SPJ1

The option that is next in the series will be option D. The Pentagon.

The next step in the series will be option D. The first circle has a vertical line with two points while the second circle has a triangle with three points.

The third circle has a shape with four points, and given this series, we can predict that the fourth circle will have a shape with five points. Option D satisfies this condition as it has a pentagon with five sides. There are five dotted points that prove that the figure is a pentagon.

Learn more about series in math here:

https://brainly.com/question/26263191

#SPJ1

Answer: 7/74

Step-by-step explanation:

P(G)=15/37*14/36

      = 1/37*7/2

      = 7/74

More about probability :

https://brainly.com/question/27342429

the researcher can conclude that private hospitals pay more than government-owned hospitals based on the sample data.

To test whether private hospitals pay more than government-owned hospitals, we can use a two-sample t-test with equal variances.

The null hypothesis is that there is no difference in mean salary between the two groups:

H0: μprivate = μgovernment

The alternative hypothesis is that private hospitals pay more than government-owned hospitals:

Ha: μprivate > μgovernment

We can use a significance level of 0.01, which corresponds to a critical value of t = 2.364 (with degrees of freedom = 898).

First, we need to calculate the pooled standard deviation:

Sp = sqrt(((n private - 1)s^2private + (n government - 1)s^2government) / (n private + n government - 2))

where n private and n government are the sample sizes, s^2private and s^2government are the sample variances, and s^2pooled is the pooled variance.

Plugging in the values, we get:

Sp = sqrt(((100-1) * 186^2 + (800-1) * 176^2) / (100 + 800 - 2)) = 176.43

Next, we calculate the test statistic:

t = (x(bar)private - x(bar)government) / (Sp * sqrt(1/n private + 1/n government))

where x(bar)private and x(bar)government are the sample means.

Plugging in the values, we get:

t = (26,800 - 25,400) / (176.43 * sqrt(1/100 + 1/800)) = 3.14

Since our test statistic (3.14) is greater than the critical value (2.364), we reject the null hypothesis and conclude that private hospitals pay more than government-owned hospitals at a significance level of 0.01.

To learn more about sample visit:

brainly.com/question/13287171

#SPJ11

Since 23² is less than 12² + 20², we can conclude that the values 12, 20, and 23 do not create a right triangle.

To determine if the values 12, 20, and 23 create a right triangle, we can use the Pythagorean theorem, which states that for any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, we can calculate:

12² + 20² = 144 + 400 = 544

23² = 529

To know more about right triangle here

https://brainly.com/question/6322314

#SPJ4

A negative exponent in scientific notation tells us that the number is very small and requires a lot of zeroes before the first non-zero digit. For example, if a number is written in scientific notation as 3.0 x 10^-5, this means that the actual value of the number is 0.00003.

The negative exponent indicates that the decimal point needs to be moved to the left by five places in order to represent the value of the number.

A negative exponent in scientific notation tells us that the number is a decimal value less than 1. It indicates that the decimal point needs to be moved to the left by the number of places specified by the exponent. This represents a small number, where the magnitude decreases as the negative exponent increases.

Visit here to learn more about negative exponent brainly.com/question/29009712

#SPJ11

Answer:

Original price is $274

Step-by-step explanation:

Let

x = Original price of calculator ($)

Percentage decrease = [tex]\frac{Original Price - New Price}{Original Price}[/tex]× [tex]100[/tex]%

                              31% = [tex][\frac{x - 189.06}{x}][/tex] × [tex]100[/tex]%

                              [tex]\frac{31}{100}[/tex]  = [tex]\frac{x - 189.06}{x}[/tex]

                             0.31 = [tex]\frac{x - 189.06}{x}[/tex]

Cross-multiplication is applied:

                       [tex](0.31)(x)[/tex] = [tex](1)(x - 189.06)[/tex]

  Distributive Law is applied to expand the brackets or parentheses:

                            [tex]0.31x[/tex] = [tex]x - 189.06[/tex]

Like terms are brought together. At the same time, the unknown variable

x is isolated and made subject of the equation:

                          [tex]189.06[/tex] = [tex]x - 0.31x[/tex]

                          [tex]189.06[/tex] = [tex]0.69x[/tex]

                                [tex]x[/tex]  = [tex]\frac{189.06}{0.69}[/tex]

∴ x = Original price of the calculator = $274

The heavy marble using a two-pan balance, the minimum number of weighings required is two.

Here's how you can do it:

Divide the eight marbles into two groups of four.

Weigh the two groups against each other.

If the two groups weigh the same, the heavy marble is one of the remaining four marbles. Proceed to step 3.

If one group weighs more, the heavy marble is in that group. Proceed to step 3.

Divide the four marbles from the heavier group into two groups of two.

Weigh the two groups of two against each other.

If the two groups weigh the same, the heavy marble is one of the remaining two marbles. Proceed to step 5.

If one group weighs more, the heavy marble is in that group. Proceed to step 5.

Weigh the remaining two marbles against each other.

The heavier marble is the heavy marble.

To know more about heavy marble visit:

https://brainly.com/question/29334705

#SPJ4

G. One sample t-test for a proportion.

E. Two sample t-test for means independent.

A. In scenario 1, the nutrition major is interested in comparing the mean IQ scores of two groups: those who like Ovaltine and those who don't. Since the sample size of the group who don't like Ovaltine is small (n=5), it's not appropriate to use a z-test. Instead, a one-sample t-test for a mean can be used to compare the mean IQ scores of those who like Ovaltine to a hypothesized population mean (which could be the population mean IQ score, assuming that Ovaltine preference doesn't affect IQ).

B. In scenario 2, the engineering major is interested in comparing the means of two independent groups (oak wood beams and elm wood beams) with equivalent standard deviations. Since the sample sizes are both 50 and the standard deviation of the population is unknown, a two-sample t-test for means can be used to compare the means of the two groups.

C. In a matched pairs difference in means scenario, each subject in a sample is paired with another subject based on some characteristic that affects the outcome of the study (such as age, weight, or gender). In this scenario, the difference in scores between each pair of subjects is calculated, and a one-sample t-test can be used to determine whether the average difference between the two groups is statistically significant.

D. In a two-sample z-test for means scenario, the researcher is interested in comparing the means of two independent groups with known population variances. This type of test is rarely used in practice since population variances are usually unknown.

E. In a two-sample t-test for means independent scenario, the researcher is interested in comparing the means of two independent groups with unknown population variances. This is the most commonly used test for comparing the means of two independent groups.

F. In a one-sample z-test for a proportion scenario, the researcher is interested in testing whether a sample proportion is significantly different from a hypothesized population proportion.

G. In a one-sample t-test for a proportion scenario, the researcher is interested in testing whether a sample proportion is significantly different from a hypothesized population proportion when the sample size is small and/or the population variance is unknown.

H. In a two-sample z-test for the p1-p2 scenario, the researcher is interested in comparing two proportions in two independent groups with known population variances.

I. If none of the above tests are appropriate for a particular scenario, then another type of test (such as a chi-square test or ANOVA) may be needed.

Learn more about t-test

https://brainly.com/question/6501190

#SPJ4

The measure of angle O is 27 degrees

To determine the value, we need to know the law of sines

The law of sines is represented as;

sin A/a = sin B/b = sin C/c

Such that the parameters are expressed as;

From the information given, we have that;

o = 850 cm, q = 800 cm and ∠Q=25°.

Substitute the values, we have;

sin O/850 = sin 25/800

cross multiply the values, we get;

sin O = sin 25 (850)/800

find the value and multiply

sin O = 359. 22/800s

sin O = 0.4490

find the inverse

O = 26. 7 degrees

Learn about law of sines at: https://brainly.com/question/27174058

#SPJ4

To evaluate the expression, we need to use the binomial distribution formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where:

- n is the sample size (10 individuals in this case)
- k is the number of individuals who have consumed alcohol (5 in this case)
- p is the probability of an individual consuming alcohol, which is 0.6 according to the problem

If you provide the value of p, I can help you calculate the probability.

Learn more about probability here : brainly.com/question/30034780

#SPJ11

The confidence interval is (0.451, 0.549).

To find the confidence interval, we need to use the formula:

Confidence interval = sample proportion +/- margin of error

where the margin of error is calculated as:

Margin of error = z* (standard error)

The standard error is the standard deviation of the sampling distribution of the proportion, which is calculated as:

Standard error = [tex]\sqrt{p*(1-p)/n}[/tex]

where p is the sample proportion and n is the sample size.

The z-value corresponding to a 95% confidence level is 1.96.

Using the given information, we have:

Sample proportion (p) = 0.50

Sample size (n) = 400

Margin of error = 0.052 * 0.5 = 0.026

Standard error = [tex]\sqrt{0.5(1-0.5)/400}[/tex] = 0.025

Z-value for 95% confidence level = 1.96

So the confidence interval is:

0.50 +/- 1.96 * 0.025

= 0.50 +/- 0.049

Therefore, the confidence interval is (0.451, 0.549) or 45.1% to 54.9%. We can say with 95% confidence that the true proportion of respondents who agree with the statement lies between 45.1% and 54.9%.

To learn more about confidence interval here:

https://brainly.com/question/24131141

#SPJ4

The vector operations in ascending order of the magnitudes of their resultant vectors is 47 < √89 < √241

To do this, we need to perform various vector operations, such as addition and subtraction, and then calculate the magnitude of the resultant vector. The magnitude of a vector is a scalar quantity that represents the length or size of the vector and is calculated using the Pythagorean theorem.

Let's start by adding two vectors. The addition of vectors u and v can be calculated as follows:

u + v = (9,-2) + (-1,7) = (8,5)

To find the magnitude of the resultant vector, we can use the Pythagorean theorem:

|u + v| = √(8² + 5²) = √89

Next, let's subtract two vectors. The subtraction of vectors v and w can be calculated as follows:

v - w = (-1,7) - (-5,-8) = (4,15)

Again, to find the magnitude of the resultant vector, we can use the Pythagorean theorem:

|v - w| = √(4² + 15²) = √241

Finally, let's calculate the dot product of two vectors. The dot product of vectors u and w can be calculated as follows:

u · w = (9,-2) · (-5,-8) = -47

The magnitude of the dot product of two vectors is equal to the product of their magnitudes and the cosine of the angle between them. Since the angle between vectors u and w is obtuse (greater than 90 degrees), the cosine of the angle is negative. Therefore, the magnitude of the dot product is:

|u · w| = |-47| = 47

Now that we have calculated the magnitudes of the resultant vectors for each operation, we can arrange them in ascending order:

|u · w| < |u + v| < |v - w|

47 < √89 < √241

Therefore, the dot product of vectors u and w results in the smallest magnitude, followed by the addition of vectors u and v, and finally, the subtraction of vectors v and w results in the largest magnitude.

To know more about vector here

https://brainly.com/question/29740341

#SPJ4

It is true that every invertible square matrix can be written as a product of elementary matrices. because, it depends on whether you are talking about invertible square matrices or all square matrices.

An elementary matrix is a matrix that can be obtained from the identity matrix by performing a single elementary row operation (such as swapping two rows, multiplying a row by a scalar, or adding a multiple of one row to another).

Moreover, any matrix that can be expressed as a product of elementary matrices is invertible.

However, not every square matrix is invertible, and so not every square matrix can be written as a product of elementary matrices. For example, the zero matrix cannot be written as a product of elementary matrices since it is not invertible.

So, it depends on whether you are talking about invertible square matrices or all square matrices.

for such more question on  square matrix

https://brainly.com/question/3617398

#SPJ11

Answer:

28.5

Step-by-step explanation:

7 times 18

plus 45

divided by 6(2x3)

the maximum percentage of women who weigh more than 201.2 pounds is 1.39%.

To find the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds, we need to standardize the values using the formula:

z = (x - μ) / σ

where:

x = weight value

μ = mean weight

σ = standard deviation

For x = 96.0 pounds:

z = (96.0 - 148.6) / 23.9

z = -2.21

For x = 201.2 pounds:

z = (201.2 - 148.6) / 23.9

z = 2.21

We can use a standard normal distribution table or calculator to find the area between -2.21 and 2.21. The area is approximately 0.9545 or 95.45%.

Therefore, the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds is 95.45%.

To find the maximum percentage of women who weigh more than 201.2 pounds, we need to standardize the value of 201.2 pounds using the same formula:

z = (x - μ) / σ

z = (201.2 - 148.6) / 23.9

z = 2.21

We can use a standard normal distribution table or calculator to find the area to the right of 2.21. The area is approximately 0.0139 or 1.39%.

To learn more about normal distribution visit:

brainly.com/question/29509087

#SPJ11

The standard deviation for the given sample data is 2.83.

To calculate the standard deviation, we first need to calculate the mean of the sample data:

Next, we calculate the deviation of each data point from the mean:

Then, we square each deviation:

Next, we calculate the sum of squared deviations:

To calculate the variance, we divide the sum of squared deviations by the sample size minus one:

Finally, we calculate the standard deviation by taking the square root of the variance:

Therefore, the standard deviation for the given sample data is 2.83. This tells us how spread out the data points are from the mean, with most data points being within 2.83 units of the mean.

Learn more about standard deviation:

https://brainly.com/question/24298037

#SPJ4

a)  diagram: nitrogen - oxygen - argon - carbon dioxide

b) {L, A, P, T, O} represented as diagram: L - A - P - O - T

c) {1, 2, 3, 4, 5, 6, 7, 8, 9} represented as {1...9}

d) {4, 6, 8, 9} represented as diagram: 4 - 6 - 8 - 9

a) The collection of four gases found in the atmosphere can be represented as the set {nitrogen, oxygen, argon, carbon dioxide}. The set can be diagrammatically represented as:

      nitrogen

        /    \

oxygen   argon

      \      /

 carbon dioxide

b) The collection of letters of the word 'LAPTOP' can be represented as the set {L, A, P, T, O}. The set can be diagrammatically represented as:

     L

     |

     A

     |

P--O--T

c) The collection of natural numbers less than 10 can be represented as the set {1, 2, 3, 4, 5, 6, 7, 8, 9}. The set can be diagrammatically represented as:

{1, 2, 3, 4, 5, 6, 7, 8, 9}

d) The collection of composite numbers less than 10 can be represented as the set {4, 6, 8, 9}. The set can be diagrammatically represented as:

   4 -- 6 -- 8

       |

       9

Learn more about Composite numbers here

brainly.com/question/28199758

#SPJ1

Answer:

8

Step-by-step explanation:

3.2 times 1.8 is 5.76. so you just add up their powers to get answer

The answer will be 5.76x 108

We are given,(3.2 x 103)(1.8 x 105)

Now, (3.2 x 1.8) (103 x 105)

5.76 x 108

The prediction for the number of passwords in which the first character is a number is given as follows:

139 passwords.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The passwords have the first character chosen as follows:

Hence the probability of a number is given as follows:

p = 10/(10 + 26)

p = 10/36

p = 5/18.

Out of 500 passwords, the expected number is then given as follows:

E(X) = 500 x 5/18

E(X) = 139 passwords.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Rearrange the equation from part A, we get y = (x - 1)^2 - 8

From the comlete question, the equation from part A

y = x^2 - 2x - 7

To rearrange the equation, we have the following

y = x^2 - 2x - 7

Set to 0

So, we have

x^2 - 2x - 7 = 0

This gives

x^2 - 2x = 7

Take the coefficient of x; divide it by 2 and then add the squared quotient to both sides

So, we have

x^2 - 2x + 1 = 7 + 1

Factorize

(x - 1)^2 = 8

So, we have

(x - 1)^2 - 8 = 0

Replace 0 with y

y = (x - 1)^2 - 8

Hence, the equation is y = (x - 1)^2 - 8

Read complete the square  at

https://brainly.com/question/13981588

#SPJ1

The arithmetic mean of the real and imaginary parts of z is approximately 0.8227 + 0.2643i.

Find the value of w²⁰ and then raise it to the 10th power:

w² = (½ + 3/2i)² = ¼ + 3/2i + 9/4 = 5/2 + 3/2i

So, w²⁰ = (w²)¹⁰ = (5/2 + 3/2i)¹⁰

Now, let z equate w²⁰:

z³ = w²⁰

Substitute the expression for w²⁰:

z³ = (5/2 + 3/2i)¹⁰

Find z by taking the cube root from both sides:

z = (5/2 + 3/2i)¹⁰^(⅓)

Using 10^(⅓) = 2.1544 to calculate z:

z = (5/2 + 3/2i)^2.1544

z ≈ 1.6454 + 0.5287i

The arithmetic mean of the real and imaginary parts of z is:

(mean) = (1.6454 + 0.5287i)/2

(mean) ≈ 0.8227 + 0.2643i

Therefore, the arithmetic mean of the real and imaginary parts of z is approximately 0.8227 + 0.2643i.

learn more about arithmetic mean: https://brainly.com/question/1136789

#SPJ1

This dynamic programming algorithm will help you find the optimal solution for the coin-changing problem using the fewest number of coins.

To optimally solve the coin-changing problem for an arbitrary denomination set {d1, d2, ..., dk} and make up a value 'v' using the fewest number of coins, you can use a dynamic programming algorithm. Here's the step-by-step explanation:

1. Create an array 'dp' of length 'v+1' and initialize all elements with infinity (except dp[0], which should be 0, as you need 0 coins to make up a value of 0).
2. Sort the denomination set in ascending order.
3. Iterate through the denomination set using a variable 'coin' from d1 to dk.
4. For each 'coin', iterate through the 'dp' array starting from the index 'coin' up to 'v' using a variable 'i'.
5. In the inner loop, for each 'i', update the value of dp[i] with the minimum between dp[i] and 1 + dp[i-coin].
6. After the loops, the value of dp[v] will be the minimum number of coins needed to make up the value 'v'. If dp[v] is still infinity, then it's not possible to make up the value 'v' using the given denomination set.

To learn more about dynamic programming, refer here:

https://brainly.com/question/30768033#

#SPJ11

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 {
      Learn more about java here : brainly.com/question/29897053

#SPJ11