Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

To learn more about correlation click here:

brainly.com/question/16169720

#SPJ11

Answer:

-15/4 = y

Step-by-step explanation:

3x-8y=39

3*3-8y=39

9-8y=39

y=-15/4

Answer:

y=√2x is the answer.....

Answer:

c & d

Step-by-step explanation:

The probability that exactly two out of the five randomly selected trucks have defective brakes is approximately 0.3456, or 34.56%.

To calculate the probability that two out of five randomly selected trucks have defective brakes, we need to use the concept of combinations and the probability of selecting a truck with brake problems.

We know that there are 10 trucks in total and 4 of them have brake problems, we can first calculate the probability of selecting a truck with a brake problem.

The probability of selecting a truck with a brake problem is given by:

P(defective truck) = Number of defective trucks / Total number of trucks

P(defective truck) = 4 / 10 = 0.4

Next, we need to calculate the probability of selecting exactly two defective trucks out of the five trucks tested. We can use the binomial probability formula for this calculation:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

where:

P(X = k) is the probability of exactly k successes,

n is the total number of trials (number of trucks tested),

k is the number of successes (number of defective trucks),

p is the probability of success (probability of selecting a truck with brake problems), and

C(n, k) is the number of combinations of n items taken k at a time.

In this case, we have n = 5 (five trucks tested), k = 2 (two defective trucks), and p = 0.4 (probability of selecting a truck with brake problems).

Using the formula, we can calculate the probability:

P(X = 2) = C(5, 2) * 0.4² * (1-0.4)⁽⁵⁻²⁾

P(X = 2) = 10 * 0.4² * 0.6³

P(X = 2) = 10 * 0.16 * 0.216

P(X = 2) = 0.3456

Therefore, the probability that exactly two out of the five randomly selected trucks have defective brakes is approximately 0.3456, or 34.56%.

To know more about probability refer here:

https://brainly.com/question/32576061#

#SPJ11

Answer:

Step-by-step explanation:

You want to know the number of nickels, dimes, and quarters that comprise $8.00, when the number of nickels is 3 times the number of quarters, and 4 more than the number of dimes.

Let n, d, q represent the numbers of nickels, dimes, and quarters, respectively. The given relations can be written as equations:

  5n +10d +25q = 800 . . . . . value of the coins in cents

  n = 3q . . . . . . . . 3 times as many nickels as quarters

  n -d = 4 . . . . . . . 4 fewer dimes than nickels

Writing the numbers of dimes and quarters in terms of the number of nickels, we have ...

  q = n/3

  d = n -4

Substituting these into the last equation gives ...

  5n +10(n -4) +25(n/3) = 800

  5n +10n -40 +(8 1/3)n = 800 . . . . expand parentheses

  (23 1/3)n = 840 . . . . . . . . . . . . . add 40, collect terms

  n = 840/(23 1/3) = 36 . . . . . . . divide by the coefficient of n

  q = 36/3 = 12

  d = 36 -4 = 32

There are 36 nickels, 32 dimes, and 12 quarters.

__

Additional comment

The solution shown is "ad hoc", meaning it is chosen based on the fact that substitutions are made relatively easy by the given relations.

Writing the equations in the form of an augmented matrix allows use of standard tools and procedures, independent of the given coefficients. The attachment shows a calculator solution of the system of equations.

Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Using an exponential function, it is found that Mary's initial investment was of $3,030.

An exponential function is modeled by:

\(y = ab^x\).

In which:

Her investment model, in thousands of dollars, is:

\(M(x) = 3.03(1.28)^{2x}\)

Then a = 3.03, since we measure the amount in thousands of dollars, Mary's initial investment was of $3,030.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

I think the right Answer 8/3

Answer:

8/3

Step-by-step explanation:

This hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight.

We have to determine,

What is the weight of each circle?​

According to the question,

Let the weight of each circle be x.

This hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight.

The hanger is in the balanced state then the sum of all weight of the left-hand side is equal to the sum of all weight of the right-hand side.

Left hand side weight = x+ x + x+ 4 = 3x+4

Right hand side weight = 12

Then,

The hanger is in a balanced state, the weight of each circle is given by,

The weight of the left-hand side = the weight of the right-hand side

The value of x is 8/3.

Hence, The weight of each circle is 8/3.

Using the given digits only once , the four 2 digit prime numbers are 23 , 41 , 59 , 67  and the the sum of the 4 prime numbers is 190 .

Prime Numbers can be defined as numbers that is greater than 1 and whose only factors are 1 and itself .

For Example : 2 is prime number , 11 is a prime number .

In the question ,

9 digits are given as 1, 2, 3, 4, 5, 6, 7, and 9  

we have to form 4 two - digit prime numbers , using each digit only once ,

So , the prime numbers using the given digits using the digits only once is

(i) 23

(ii) 41

(iii) 59

(iv) 67

and the sum of the 4 prime numbers is = 23 + 41 + 59 + 67

= 190

Therefore , the 4 prime numbers are 23 , 41 , 59 , 67 and their sum is 190 .

Learn more about Prime Numbers here

https://brainly.com/question/6788053

#SPJ4

Answer:

I) X+Y

when X=0

0+y=5

Y=5

When Y=0

X+0=5

X=5

(X,y)=(5,5)

(ii) X-Y=3

When X=0

0-Y=3

Y=-3

When Y=0

X-0=3

X=3

(X,Y)=(3,3(

(III) 2x+Y=7

when X=0

0+Y=7

Y=7

when Y=0

2x+0=7

2x=7

X=7/2 or 3.5

(X,Y)=(3.5,7)

(Iv)

3X-2Y=0

when X=0

0-2Y=0

-2Y=0

Y=0

When Y=0

3x-0=0

3X=0

X=0

(X,Y)=(0,0)

The answer is 48 square inches as the perimeter.

The perimeter of the rectangle is 48 inches.

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:

The rectangle has an area of 128 square inches and a width of 8 inches.

That means, the length,

= area of the rectangle / the width of the rectangle

= 128/8

= 16 inches.

The perimeter of the rectangle,

= 2 (length + width)

= 2 (16 + 8)

= 48 inches.

Therefore, the perimeter is 48 inches.

To learn more about the rectangular perimeter;

https://brainly.com/question/22109593

#SPJ2

Answer:

10x + 4 \(\geq\) 25

Answer:

9

Step-by-step explanation:

f(8)= 1/2(8) + 5

f(x)= 4 +5

f(x)= 9

Answer:

Si estuviera en una isla deshabitada y solo pudiera traer tres cosas, llevaría mi teléfono, latas de fruta y una manta.

The number of visitors to Disneyland who stayed for at least 3 hours, spent at least $20 but did not go on the Matterhorn ride is 40.

Let x be the number of visitors who stayed for at least 3 hours, spent at least $20 but did not go on the Matterhorn ride.

Let y be the number of visitors who stayed for at least 3 hours, spent at least $20 and went on the Matterhorn ride.

Then, we can write two equations:

x + y = 120                                          

(Equation 1)

20x + 25y = Total amount spent                

(Equation 2)

Since we don't know the total amount spent, we can't use Equation 2 to solve for x and y.

However, we can use the information given in the question to write another equation:

x + y = Total number of visitors who stayed for at least 3 hours and spent at least $20, regardless of whether they went on the Matterhorn ride.       (Equation 3)

We know that the total number of visitors who stayed for at least 3 hours and spent at least $20 is 80 (since 2/3 of the visitors met these criteria).

So, we have:

x + y = 80                                                                                                           (Equation 3')

Now, we have three equations with two unknowns.

We can solve for x and y by solving the system of equations.

Equation 1: x + y = 120

Equation 3': x + y = 80

Subtracting Equation 3' from Equation 1,

we get:

y = 40

Substituting y = 40 into Equation 3',

we get:

x + 40 = 80x

          = 40

Learn more about linear equation:

https://brainly.com/question/28732353

#SPJ11

EXPLANATION

Let's consider the facts:

a. Traveled = 16 feet

|-16| = 16

The porpoise is 16 feet from the surface of the water.

b. Withdrawal = -$250

|-250| = 250

Chelsea paid the electric company $250 dollars

c. Temperature = -54

|-54| = 54

The temperature is 54 degrees below zero.

d. Distance= 34 miles east

|34| = 34

The distance between Adelphi and Sterling is 34 miles.

a) Part A: The perceived image of Jet Airways

Jet Airways is one of the well-known airlines in India. It is headquartered in Mumbai and operates both domestic and international flights. The perceived image of Jet Airways in the minds of its customers is important to the success of the airline. Perceived image refers to what the customers think about the airline, and this is important for customer loyalty and retention.

Constructing a seven-item and semantic differential scale to measure the perceived image of Jet Airways would be as follows:

1. Reliability: how reliable is Jet Airways on a scale of 1 to 7 (with 1 being extremely unreliable and 7 being extremely reliable)

2. Responsiveness: how responsive is Jet Airways to the needs of its customers on a scale of 1 to 7 (with 1 being extremely unresponsive and 7 being extremely responsive)

3. Empathy: how empathetic is Jet Airways to the concerns of its customers on a scale of 1 to 7 (with 1 being extremely unempathetic and 7 being extremely empathetic)

4. Assurance: how assured do you feel when you travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely unassured and 7 being extremely assured)

5. Tangibles: how do you rate the physical appearance of Jet Airways on a scale of 1 to 7 (with 1 being extremely poor and 7 being extremely good)

6. Price: how do you rate the price of Jet Airways on a scale of 1 to 7 (with 1 being extremely expensive and 7 being extremely affordable)

7. Convenience: how convenient is it to travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely inconvenient and 7 being extremely convenient)

The above semantic differential scale helps in measuring the perceived image of Jet Airways. The seven-item and semantic differential scale ensure that the seven under each format correspond to the same seven dimensions.

By answering each question, the customers can rate Jet Airways on various factors, and the airline can use this feedback to improve its service and overall image.

b) Part B:

Examination of a technical and business report

The structure of a technical and business report includes a title page, abstract, table of contents, introduction, main body, conclusion, and references. An examination of a technical and business report from the internet reveals some deviations from the stated structure. One of the significant deviations is the absence of the abstract section. The abstract provides a brief summary of the report, including the purpose, methodology, and findings. The report from the internet did not have an abstract section, and this deviation could be due to the report being a short summary of a more extensive study.

The report from the internet did not have a separate conclusion section. The conclusion is important as it summarizes the findings of the study and provides recommendations for further research. The report from the internet integrated the findings and recommendations into the main body of the report, and this deviation could be due to the length of the report.

Another deviation is the lack of a reference section. The reference section is essential as it provides the sources used in the study. The report from the internet did not have a reference section, and this deviation could be due to the type of report and the fact that it was not a formal research report.

In conclusion, technical and business reports should follow a specific structure to ensure that they are clear, concise, and easily understood. Deviations from the stated structure can affect the quality and accuracy of the report. The deviations in the report from the internet could be due to the length, type, and purpose of the report.

To learn more click the below link

https://brainly.in/question/1343844

#SPJ11

Answer:

Explanation:

According to the factor theorem, if we set x+1 to zero, the substitute the x value into the polynomial, if we get a value of zero, then x+1 is a factor of the polynomial, otherwise, it is not

We start by setting x+1 to zero:

Substitute -1 into the polynomial:

This shows that (x+1) is a factor of the polynomial

Answer:

B)203

Step-by-step explanation:

FE is 23 plus H which is a straight line which means that is 180. Add 23 and 180 that get's you 203

Answer:

c

Step-by-step explanation:

because the product of 341 and 25 is 8525.

The exact value of y is π/4, which is approximately 0.7854 radians or 45 degrees.

To find the exact value of the real number y using y = arctan(-1), we can evaluate the arctan function at -1.

The arctan function gives us the angle whose tangent is a given value. In this case, we want to find the angle whose tangent is -1.

Since the tangent of π/4 is equal to 1, we can write -1 as -tan(π/4).

Therefore, y = arctan(-1) = arctan(-tan(π/4)).

Now, arctan and -tan are inverse functions, so they cancel each other out, resulting in:

y = π/4.

Therefore, the exact value of y is π/4, which is approximately 0.7854 radians or 45 degrees.

Learn more about exact value here:

https://brainly.com/question/30754075

#SPJ11

Step-by-step explanation:

that is the answer up there couldn't write it down

(4a) The value of arc BD is determined as 140⁰.

(4b) The value of arc ADC is determined as 200⁰.

(4c) The value of angle ADC is determined as 80⁰.

(4d) The value of angle BCD is determined as 110⁰.

(4e) The value of arc AC is determined as 160⁰.

(5a) The value of angle BCA is determined as 123⁰.

(5b) The length of AB is 17.32 units.

The value of the missing angles is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

question 4a.

arc BD = 2 x m∠BAD ( interior angles of intersecting secants)

arc BD = 2 x 70⁰

arc BD = 140⁰

Question 4b.

arc ADC = 2 x m∠ABC ( interior angles of intersecting secants)

arc ADC = 2 x 100⁰

arc ADC = 200⁰

Question 4c.

angle ADC = 180 - 100 (opposite angles of a cyclic quadrilateral are complementary)

angle ADC = 80⁰

Question 4d.

angle BCD =  180 - 70 (opposite angles of a cyclic quadrilateral are complementary)

angle BCD = 110⁰

Question 4e.

Arc AC = 360 - arc ADC (sum of angles in a circle)

Arc AC = 360 - 200⁰

Arc AC = 160⁰

Question 5a.

angle BCA = ¹/₂ ( (360 - 57 ) - 57 ) (exterior angles of intersecting secants)

angle BCA = ¹/₂ ( 303 - 57 )

angle BCA = 123⁰

Question 5b.

The length of AB is calculated by applying Pythagoras theorem as follows;

AC² = AB² +  BC²

AB² = AC² - BC²

AB² = 20² - 10²

AB² = 300

AB = √ ( 300 )

AB = 17.32 units

Learn more about chord angles here: brainly.com/question/23732231

#SPJ1

The researcher wants to determine if the number of calories burned during an hour is the same for running and walking. To conduct this investigation, the researcher would measure continuous scale data.

Continuous scale data is quantitative data that can take any numerical value within a certain range.

In this case, the researcher would measure the number of calories burned, which is a continuous variable that can have various values within a specific range (e.g., 0, 100, 200, etc.).

By measuring the calories burned for both running and walking, the researcher can compare and analyze the numerical data to determine if there is a significant difference between the two activities.

It is important to note that the type of statistical analysis required to evaluate the data would depend on the specific research design and the number of groups involved.

If the researcher is comparing only two groups (running and walking), an independent t-test may be appropriate.

On the other hand, if there are more than two groups or additional factors being considered, an analysis of variance (ANOVA) might be more suitable.

The choice of statistical analysis method would depend on the specific research question and study design.

To know more about scale data refer here:

https://brainly.com/question/28302985#

#SPJ11

Answer:

3

Step-by-step explanation:

8 ÷ 2² + 1

8 ÷ 4 + 1

2 + 1

3

Have a good day!