A man in a tower spots three hot air balloons flying at the same altitude. Balloon
A is 5 miles east and 8 miles south of the
tower. Balloon B is 7 miles west and 10 miles
north of the tower. If Balloon C is located
four-ninths the distance from Balloon A to
Balloon B, find the location of Balloon C
relative to the tower.

The conversion:

Applying the principle to the given logarithm equation:

(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

For more such questions on surveys

https://brainly.com/question/30735918

#SPJ8

Answer:

the inverse is option B.............

The two ships are approximately 34.2 miles apart after 2 hours.

The first ship traveling at 15 miles per hour on a bearing of N 25° W.

Displacement = Speed × Time

Displacement of the first ship = 15 mph × 2 hours = 30 miles

Displacement of the second ship traveling at 11 miles per hour on a bearing of S 64° E.

The displacement of the second ship can be calculated by breaking it down into its north-south and east-west components.

North-South Component = Speed ×Time × sin(Bearing)

North-South Component = 11 mph × 2 hours × sin(64°)

East-West Component = Speed × Time × cos(Bearing)

East-West Component = 11 mph × 2 hours × cos(64°)

Displacement of the second ship = √((North-South Component)² + (East-West Component)²)

Displacement of the second ship = √((22 × sin(64°))² + (22 × cos(64°))²)

The displacement of the second ship gives us approximately 16.3 miles.

Distance = √((Displacement of the first ship)² + (Displacement of the second ship)²)

Distance = √((30)² + (16.3)²)

The distance gives us approximately 34.2 miles.

Therefore, the two ships are approximately 34.2 miles apart after 2 hours.

To know more about apart click here :

https://brainly.com/question/30592095

#SPJ4

The probability of light being not red will be 0.018.

What is probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

Given data:

Pedro drives the same route to work and only he faces one traffic light on his route.

Chances of light being red = 55%

Therefore,

The probability of light being red p = 0.55

So, the probability that light is not red

 q = 1 - 0.55

 q = 0.45

Now, if we calculate the probability of light being not red for all 5 days from Monday to Friday

      \(q'=q^5\\\\q'=(0.45)^5\\\\q'=0.018\)

Hence, we can conclude that the probability of light being not red will be 0.018.

To learn more about probability in mathematics, visit:

https://brainly.com/question/24756209

#SPJ4

Answer:

40%

Step-by-step explanation:

You can plug in 100 as the price of the radio to see how much the price decreased.

20% off of 100 will make it $80.

Then, with the 25% discount, it will be worth $60.

So, $40 was taken off, and 40÷ 100 is 0.4, so the overall percentage reduction was 40%

For any given value of x, plugging it into the function rule f(x) will yield the corresponding output value according to the described relationship.

The function rule that represents the given statement, "The output is eight more than one-seventh of the input x," can be expressed as follows:f(x) = (1/7)x + 8

In this function, f(x) represents the output or dependent variable, while x represents the input or independent variable. The function rule states that the output is obtained by taking one-seventh of the input x and adding eight to it.

By multiplying the input x by 1/7, we obtain one-seventh of x. Then, by adding 8 to this result, we obtain the final output of the function.

For any given value of x, plugging it into the function rule f(x) will yield the corresponding output value according to the described relationship.

For more such questions on function

https://brainly.com/question/25638609

#SPJ11

Reject the null hypothesis without success. Therefore, the test assertion is not supported by enough evidence.

Data that have a low standard deviation tend to be grouped around the mean, while those with a high standard deviation are more dispersed. Just the average of all squared variances is used to calculate the standard deviation. Plotting the normal distribution curve with one standard deviation, or one sigma, above or below the average value .

Given that,

Point estimate = sample mean =

 = 7.4

Population standard deviation = δ  = 1.8

Sample size = n = 36

At 95% confidence level

α = 1 - 95%  

α = 1 - 0.95 = 0.05

α/2 = 0.025

Zα/2 = Z0.025 = 1.96

Margin of error = E =  Z

Reject the null hypothesis without success. Therefore, the test assertion is not supported by enough evidence.

To know more about standard deviation visit :-

https://brainly.com/question/23907081

#SPJ4

The tennis wall volley test has two 30-second trials, and a teacher is interested in analyzing the variation between them. The instructor will most likely determine the "intraclass correlation coefficient" statistic.

An indicator of the validity of the ratings for clusters is the intraclass correlation coefficient, abbreviated ICC.

A tennis wall volley test has two 30-second trials, and a teacher is interested in analyzing the variation between them.

Thus, the instructor will most likely determine the "intraclass correlation coefficient" statistic.

To know more about the correlation coefficient, here

https://brainly.com/question/12220189

#SPJ4

Answer:

11.0 cm

P=38 cm

38/3=12.67cm length of one side

Base of triangle = 12.67/2 =6.34 cm

Use formula \(a^2+b^2=c^2\)

\(6.34^2+x^2=12.67^2\\\\=11.0 cm\)

x = altitude of triangle

The percentage of youth that are category 10 to 12 is the quotient of  their frequency to the total frequency

55% of the actors are 10 to 12 years old

From the complete question, we have the following parameters

The percentage of youth in the age category 10 - 12 is then calculated as:

Percentage = Frequency of age category 10 - 12/Total frequency

This gives

Percentage = 22/40

Evaluate the quotient

Percentage = 55%

Hence, 55% of the actors are 10 to 12 years old

Read more about frequency tables at:

https://brainly.com/question/16148316

1. The transformation is: A. rotation 90° clockwise about the origin.

2. Based on the alternate exterior angles theorem, the value of x is: 2.

3. x = 10

4. The slope of the given line is: A. 2

The slope of a line = change in y/change in x.

The theorem states that alternate exterior angles are congruent if they each lie on lines that are parallel to each other.

1. The transformation that took UVWX to U'V'W'X' is: A. rotation 90° clockwise about the origin.

2. 26x - 2 = 50 [based on the alternate exterior angles theorem]

Solve for x

26x = 50 + 2

26x = 52

x = 52/26

x = 2

The value of x is: D. 2.

3. 9x + 15 + 6x + 15 = 180 [based on the same-side interior angles theorem]

Solve for x

15x + 30 = 180

15x = 180 - 30

15x = 150

x = 150/15

x = 10

The value of x is: C. 10

4. Using two points on the line, (1, 1) and (-1, -3), we have:

Slope of the line = (-3 - 1)/(-1 - 1) = -4/-2

Slope of the line = 2

The slope is: A. 2

Learn more about the slope on:

https://brainly.com/question/13861479

#SPJ1

The maximum number of possible different eigenvalues is 2 when

det(A-I×λ)=0.

Given that,

We have to describe the reason why a 2x2 matrix can only have two different eigenvalues.

We know that,

Checking this out with straight calculations

Keep in mind that the eigenvalues of a matrix A are determined by:

det(A-I×λ)=0

Where I is the identity matrix, whose diagonal exclusively contains ones.

As a result, the size of the matrix determines the maximum number of eigenvalues. For instance, a 2x2 matrix corresponds to an identity matrix with just two members on the diagonal.

Therefore, The maximum number of possible different eigenvalues is 2 when det(A-I×λ)=0.

To learn more about eigenvalue visit: https://brainly.com/question/29565569

#SPJ4

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Answer:

$355

Step-by-step explanation:

85+60+35=180

5% of 3,500 is 175

175+180=355

so if i did the math right that means the answer is $355

Hopefully the right answer

Answer:

x = 12 , s = 41

Step-by-step explanation:

The sides of a square are equal , so

4x - 7 = 3x + 5 ( subtract 3x from both sides )

x - 7 = 5 ( add 7 to both sides )

x = 12

Then

length of side s is

s = 4x - 7 = 4(12) - 7 = 48 - 7 = 41

If the diagonals of a quadrilateral divide each other proportionally, it is a trapezium.

Let's consider a quadrilateral ABCD, where the diagonals AC and BD intersect at point E. If the diagonals divide each other proportionally, it means that AE/CE = BE/DE.

To prove that the quadrilateral is a trapezium, we need to show that one pair of opposite sides is parallel.

Using the proportionality condition, we can rewrite it as (AE/CE) = (BE/DE) = 1.

By the Converse of the Basic Proportionality Theorem, we know that if two lines are cut by a transversal such that corresponding angles are equal, then the lines are parallel. In this case, AE is parallel to CD, and BE is parallel to AD.

Therefore, we have shown that AB || CD, which is the definition of a trapezium.

If the diagonals of a quadrilateral divide each other proportionally, it can be concluded that the quadrilateral is a trapezium.

To know more about proportionally , Visit:

https://brainly.com/question/1496357

#SPJ11

Answer:

b≤−6

here u go

Answer:

Step-by-step explanation:

To solve an inequality, we will solve just like a normal equation. The goal is to isolate b, so we can determine the set of values it can take on.

We need to reverse the operation - 5.3, so we add 5.3.

-1.2b - 5.3 + 5.3 ≥ 1.9 + 5.3

-1.2b ≥ 7.2

We need to reverse the multiplication that is multiplying b by -1.2, so we will divide. However, we must remember an important rule first.

Important: When we divide by a negative number in an inequality, we must reverse the inequality sign, so ≥ becomes ≤.

-1.2b / -1.2 ≥ 7.2 / -1.2

b ≤ -6 (remember to reverse the sign!)

We now substitute our answer in and see if it is correct. We will use a number that is smaller than -6, for example, -8.

-1.2(-8) - 5.3 ≥ 1.9

9.6 - 5.3 ≥ 1.9

4.3 ≥ 1.9 ✅

We can check again with -6, since this and all numbers smaller than it should be a solution set.

-1.2(-6) - 5.3 ≥ 1.9

7.2 - 5.3 ≥ 1.9

1.9 ≥ 1.9 ✅

Answer:

x = 5

Step-by-step explanation:

8x and 50 form a right angle , then

8x + 50 = 90 ( subtract 50 from both sides )

8x = 40 ( divide both sides by 8 )

x = 5

Answer:

Right angles equal 90 degrees, so 90-50=40

40=8x

divide by 8 on both sides

x=5

Step-by-step explanation:

Answer:

2x+(x+5)

not 100% sure but this is what i got

Step-by-step explanation:

Answer:

Explanation:

Let the speed of the first person be x mph and the speed of the second person be y mph

Since one person's speed is faster than the other, we can have:

Mathematically, distance equals the product of speed and time

The time traveled by each person is 1.5 hours

The distance traveled by each of them is:

The sum of the two equals 18 miles

Thus:

Recall;

This means that the first person was walking 5 mph while the second was walking 7 mph

Let x be a number such that

Solving the above equation for x we get:

Answer: The numbers that are a distance of 6 away from the number 7 are:

1, and 13.

Answer:

x^2 + 14x + 49

Step-by-step explanation:

Complete the square:

x^2 + 14x

Take the coefficient of the x term, 14.

Divide by 2.

14/2 = 7

Square it.

7^2 = 49

Add this .

x^2 + 14x + 49

p → q ∨ r and p ∧ ~q → r are not logically equivalent based on our truth table analysis.

To determine if two statements are logically equivalent, we can use truth tables. A truth table is a table that lists all possible combinations of truth values for the propositions in a logical formula and the resulting truth value for the formula.

The first statement is: p → q ∨ r

The second statement is: p ∧ ~q → r

We can construct the truth tables for each statement and compare the resulting truth values.

Here's the truth table for the first statement:

p | q | r | q ∨ r | p → (q ∨ r)

T | T | T | T | T

T | T | F | T | T

T | F | T | T | T

T | F | F | F | T

F | T | T | T | T

F | T | F | T | T

F | F | T | T | T

F | F | F | F | T

Here's the truth table for the second statement:

p | q | ~q | p ∧ ~q | p ∧ ~q → r

T | T | F | F | T

T | F | T | T | T

F | T | F | F | T

F | F | T | F | T

Comparing the truth tables, we can see that the truth values for the two statements are not the same for all combinations of truth values for p, q, and r. Hence, the given two statements are not logically equivalent.

In conclusion, p → q ∨ r and p ∧ ~q → r are not logically equivalent based on our truth table analysis.

To know more about truth table, here

https://brainly.com/question/17259890

#SPJ4

Answer:

Rearrange: y=-2x+3

if x=6 then y = -9

if y=-1 then x = 2

Step-by-step explanation:

Algebra

to rearrange here are the steps

26x+13y=39

First move x to other side by subtraction

13y= -26x+39

to get y as just y divide everything by 13. Since 13/13=1 or 13y/13= y

y=-2x+3