To find the time it will take for a train
to travel from Springfield to Franklin,
d
where d
use the expression s,
represents distance and s represents
speed.
Find the time if the train travels
at a speed of 79
miles per
hour.

The ratio 11:7 is equivalent to 61% and 39%.

A ratio shows the mathematical relationship between two variables.  

For example, one can say that for every 11 green balls, there are 7 white balls.

In this example, the relationship of green and white balls can be expressed mathematically as 11:7.  In other words, it means that there are 61% green balls where there are 39% white balls.

Ratio = 11:7

Sum of ratio = 18 (11 + 7)

In percent terms, 11/18 = 61% (11/18 x 100)

Whereas 7/18 = 39% (7/18 x 100)

Thus, the ratio 11:7 is equivalent to 61% and 39%.

Learn more about ratios at https://brainly.com/question/2328454

#SPJ1

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

for such more question on value

https://brainly.com/question/27746495

#SPJ8

The zeros of the polynomial function are x = -1 and x = 5

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

y = x⁴ - 4x³ - 4x² - 4x - 5

To calculate the zeros of the polynomial function, we create a graph of the polynomial

The point where the graph intersect with the x-axis are the zeros of the polynomial function

using the above as a guide, we have the following:

Zeros: x = -1 and x = 5

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1

Answer:

2583 i think

Step-by-step explanation:

Answer:

a is the right anser

Step-by-step explanation:

The average rate of change from day 2 to day 10 is given by the slope of the line m =

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The number of houses sold on day 2 is P

The number of houses sold on day 10 is Q

Let the first point be P ( 2 , 8 )

Let the second point be Q ( 10 , 2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - 8 ) / ( 10 - 2 )

Slope m = -6/8

m = -3/4

Therefore , the number of houses sold between day 2 and 10 is -3/4 houses per day

Hence , the slope is m = -3/4 houses per day

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

The complete question is attached below :

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10

Answer:

145.1 square meters

Step-by-step explanation:

The figure is composed of a rectangle and a semicircle.

Therefore, area of the figure = area of the rectangle + area of the semicircle

✔️Area of the rectangle = L*W

L = 15 m

W = 8 m

Area of rectangle = 15*8 = 120 m²

✔️Area of semicircle = ½(πr²)

r = ½ of 8 = 4 m

Area of semicircle = ½*π*4²

Area of semicircle = 25.1327413 m²

✔️Area of the figure = 120 + 25.1327413 = 145.132741 ≈ 145.1 m² (nearest tenth)

The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

for such more question on equation

https://brainly.com/question/27870704

#SPJ8

Answer:

Yes, the answer is A

Step-by-step explanation:

2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1. Then the correct option is A.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle – When two lines intersect, then their opposite angles are equal.

2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.

Then the correct option is A.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ5

Answer:

B. reflection

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

Answer:

for 60 naira with a 15% off there would be a $9 dicount

Step-by-step explanation:

60*.15=9      discount rate

Answer:

75 out of the 900 got a gift card.

Step-by-step explanation:

900/12=75

75/900 reduces to 1/12

Answer:

75 people get a 25 dollar gift card :)

Step-by-step explanation: Thanks for the free points btw

and u do 900/12 simple as that

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

for more search question point  

https://brainly.com/question/28162977

#SPJ8

instantaneous rate of change of the search length 0.1667 seconds per

We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.

Taking the derivative of S(n) with respect to n using the chain rule, we get:

S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n

Evaluating this expression at n=12, we get:

S'(12) = 2/12 = 0.1667 seconds per article

This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.

Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.

know more about rate of change visit

https://brainly.com/question/12786410

#SPJ1

Answer:

a. 12 miles

b. 9 miles

c. 2 hours

d. 7 hours

e. 12 miles

f. 9 hours

g. 3 miles

h. 5 hours

Step-by-step explanation:

Answer:

a. 12 miles

b. 9 miles

c. 2 hours

d. 7 hours

e. 12 miles

f. 9 hours

g. 3 miles

h. 5 hours

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

x = -2

Step-by-step explanation:

The first thing we can notice about this figure is that the two small outer triangles are congruent because of the given side congruence markings as well as the fact that the large triangle ABC is isosceles, thus angle A is congruent to angle C.

Using the above information, we can construct the equation:

3x + 2 = 2x

and solve it for x.

x = -2

The equation we constructed simply equates the corresponding sides of the two small outer triangles, as they are congruent by the CPCTC theorem.

Answer:

13.89%

Step-by-step explanation:

The probability when two dices are rolled and their sum is 8 is shown below:

But before that we need to see the probabilities of the sum i.e 8

2 + 6 = 8

3 + 5 = 8

4 + 4 = 8

5 + 3 = 8

6 + 2 = 8

There are 5 outcomes

And, the two dice is 36 i.e square of 6

So, the probability of  two dices are rolled and their sum is 8 is

= \(\frac{5}{36}\)

= 13.89%

Answer:

sample space

Step-by-step explanation:

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

for more such question on integers visit

https://brainly.com/question/929808

#SPJ8

In order to solve the system of inequalities, let's solve each inequation for 'a':

So, the answer to this system is:

The critical values for a 99% confidence interval using the chi-square distribution with 10 degrees of freedom are 18.3278 and 28.3092.

The chi-square distribution is a continuous probability distribution that is used to determine the probability of a statistic being greater than or less than a certain value. The chi-square distribution with 10 degrees of freedom is used to calculate critical values for a 99% confidence interval.

To find the critical values, we need to use the chi-square distribution calculator. In the calculator, we should enter the degrees of freedom, which is 10 in this case, and the confidence level, which is 99% in this case. The calculator will then return the critical values for the 99% confidence interval for a chi-square distribution with 10 degrees of freedom, which are 18.3278 and 28.3092.

Step 1: Go to the chi-square distribution calculator.

Step 2: Enter the degrees of freedom, which is 10 in this case.

Step 3: Enter the confidence level, which is 99% in this case.

Step 4: Click the “Calculate” button.

Step 5: The calculator will return the critical values for a 99% confidence interval for a chi-square distribution with 10 degrees of freedom, which are 18.3278 and 28.3092.

Learn more about confidence interval here

https://brainly.com/question/24131141

#SPJ4

Answer:

53 es el pr espero que te ayude

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

Answer: four textbooks

Step-by-step explanation:

Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%

5/8

64%

0.65

Answer:

The slope is 1/3

Step-by-step explanation:

Take 2 points on the line, lets use (0,50) and (30,60)

                                                         x1  y1           x2  y2

Use slope formula:

y2 - y1 / x2 - x1

60 - 50 / 30 - 0

10 / 30

which can be simplified to:

1/3

The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

For such more question on longitude

https://brainly.com/question/28173702

#SPJ8

Answer:

A. 36x-27y-6

B. 12x-6y+2

C. -4x/5 + 4y -13/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

x is the length of the hypotenuse of this triangle.  The length of one of the legs of the triangle is 3" and that of the other leg is 4".

Applying the Pythagorean Theorem:  x^2 = 3^2 + 4^2, or 25

Thus, the length x is +√25, or 5.

x = 5