I need help with this problem I am having trouble understanding

I Need Help With This Problem I Am Having Trouble Understanding

Answers

Answer 1

The distance that the fish was able to travel in all was 23. 9 meters .

How to find the distance traveled ?

The distance from Harry to the fish' s hole can be found by the Pythagorean theorem:

a ² + b ² = c ²

7 ² + 7 ² = c ²

49 + 49 = c²

98 = c²

c = 9. 9

The total distance that the fish traveled can then be found by summing the distance it already traveled with the distance to Harry's:

= 14 + 9. 9

= 23. 9 meters

The fish traveled approximately 23.9 meters in all, rounded to the nearest tenth.

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Related Questions

What is 10/9 minus negative 1 1/3 equal?

Answers

hi

10/9 - 11/3 =  10/9 - 33/9 =  -23/9

Answer:

-23/9

Step-by-step explanation:

You would need to find a common denominator which would be 9.

The next step would be to combine the top 10-11 (times)3 over 9

Then you multiply -11 by 3 tp get 10 -33 /9

The last and final step would be tp subract 33 from 10 to get 33 -10

Which will led you to your final awnser which is -23/9

what value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight? (round your answer to four decimal places.)

Answers

the value of c is 11.165 lbs. This was calculated using the z-score formula, assuming a normal distribution with a mean weight of 10 lbs and a standard deviation of 0.5 lbs. This ensures that 99% of all parcels are at least 1 lb under the surcharge weight.

To find the value of c, we need to use the standard normal distribution and the z-score formula. Since we know that 99% of all parcels are at least 1 lb under the surcharge weight, we can use the z-score associated with the 99th percentile, which is 2.33 (from a z-score table).

The formula for the z-score is:

z = (x - μ) / σ

where x is the weight of the parcel, μ is the mean weight, and σ is the standard deviation.

In this case, we want to find the weight of the parcel that is at the 99th percentile, which is 1 lb under the surcharge weight. Let's call this weight x. We know that the surcharge weight is c, so the weight of the parcel that is 1 lb under the surcharge weight is (c - 1).

Using the z-score formula and substituting the values we know, we get:

2.33 = ((c - 1) - μ) / σ

We want to solve for c, so we need to rearrange the equation:

c - 1 = 2.33σ + μ
c = 2.33σ + μ + 1

We don't know the values of μ and σ, but we can use the fact that the distribution is normal to estimate them. We can assume that the distribution is centered at the mean weight of all parcels, and that the standard deviation is equal to the average difference between the weight of each parcel and the mean weight.

Let's say that the mean weight is 10 lbs, and the standard deviation is 0.5 lbs. Then, we can plug these values into the equation for c:

c = 2.33(0.5) + 10 + 1
c = 11.165

So, the value of c that ensures that 99% of all parcels are at least 1 lb under the surcharge weight is approximately 11.165 lbs.

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One of the players scored 13.7 points per game with 4.1 free throw attempts per game. How does this compare to what the model predicts for this player?

Answers

if the player in question scored 13.7 points per game with 4.1 free throw attempts per game, his performance is slightly below what the model predicts.

How to solve the question?

To compare the player's performance to what the model predicts, we need to know the factors that the model considers when making predictions. Depending on the complexity of the model, it may take into account a variety of factors, such as the player's position, age, height, weight, shooting percentage, and team performance.

Assuming that we have a relatively simple model that takes into account the player's shooting percentage and free throw attempts, we can make a rough estimate of how the player's performance compares to what the model predicts.

Let's say that the model predicts that a player with a shooting percentage of 50% and 4 free throw attempts per game would score an average of 15 points per game. If the player in question has a shooting percentage of 45%, we can adjust the prediction accordingly. Using a simple linear regression, we can estimate that the player's expected points per game would be:

Expected points per game = 15 - (50 - 45) * 0.2 = 14

So if the player in question scored 13.7 points per game with 4.1 free throw attempts per game, his performance is slightly below what the model predicts. However, it's important to note that this is just a rough estimate based on a simple model, and there may be many other factors that could affect the player's performance, such as injuries, fatigue, or changes in the team's strategy. Therefore, we should not rely solely on statistical models to evaluate a player's performance, but also consider other factors such as the player's overall contribution to the team and their ability to make key plays in crucial moments.

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see the scatter plot of Wins compared to Free Throw Attempts per Game.
Then use the scatterplot to write your line of best fit and determine the correlation.

Answers

I'm confused what's being asked here...but if you're looking for someone to check it then:

The line of best fit is drawn correctly; there are about the same amount of dots on the top and bottom of the line.

And the correlation is positive

Use #18 to then find how much it costs to paint the room if the paint costs 8$ a gallon and each gallon covers 300 ft of wall

Answers

The cost to paint the room with two coats of paint is $48, using paint that costs $8 per gallon and covers 300 square feet per gallon.

To determine how much it costs to paint the room if the paint costs $8 a gallon and each gallon covers 300 square feet of wall, we first need to determine how many gallons of paint we need. From problem #18, we know that the room has a total wall area of 800 square feet, and we need to apply two coats of paint.

The total wall area that needs to be covered by paint is:

800 square feet x 2 coats = 1600 square feet

To determine how many gallons of paint we need, we divide the total square footage by the coverage of one gallon of paint:

1600 square feet ÷ 300 square feet/gallon = 5.33 gallons (rounded up to the nearest gallon)

Therefore, we need 6 gallons of paint to complete the job (since we can't purchase a fractional amount of a gallon).

The cost of the paint can now be calculated by multiplying the number of gallons of paint by the cost per gallon

6 gallons x $8/gallon = $48

So it would cost $48 to paint the room.

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The interior angles formed by the sides of a regular octagon have measures that total 1080. What is the measure of each angel

Answers

Step-by-step explanation:

Welll.... there are EIGHT of them that total 1080

1080 / 8 = 135 degrees each

Please help me I cannot do this (BUT it might be easy for u if ur an expert) B]

Answers

Answer:

a

Step-by-step explanation:

Answer:

The answer is B) -35.16 grams per half-life cycle

Given right triangle



ABC with altitude



BD
drawn to hypotenuse



AC
. If


=
20
AD=20 and


=
14
,
DC=14, what is the length of



BD
in simplest radical form?

Answers

The length of side BD which is the altitude of the triangle is 2√(70)

How to find the length of BD

The length of BD is solved using similar triangles. This is defined by triangles formed from triangle ABC and they include

triangle ABD and triangle CBD

Let the altitude be h, hence we have the formula of the proportions as

AD / h = h / DC

plugging the values gives

20 / h = h / 14

h^2 = 20 * 14

h = √(20 * 14 )

h = √(280)

h = 2√(70)

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5- When the equation x²- 6x + 9 = 49 is transformed into the equation
(x - p)² = q, what are the values for p and q?
A. -3 and 40
B. -3 and 49
C. 3 and 40
D. 3 and 49

Answers

The values for p and q in the equation (x² - 6x + 9 = 49) transformed into (x - p)² = q are p = 3 and q = 40, so the answer is option A: -3 and 40.

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of variables, constants, and mathematical operators such as addition, subtraction, multiplication, and division. Equations are used to solve problems and find unknown values of variables.

In the given question,

To transform the equation x² - 6x + 9 = 49 into the equation (x - p)² = q, we can first subtract 49 from both sides to get:

x² - 6x - 40 = 0

Next, we complete the square by adding (6/2)² = 9 to both sides:

x² - 6x + 9 - 40 + 9 = 0 + 9

(x - 3)² - 22 = 0

Now we can see that p = 3 and q = 22.

Therefore, the answer is D) 3 and 49.

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what is 493 square rooted

Answers

22.20 is the answer

In Apextown there are 320,000 29-year-olds. Based on the table below, how many are not expected to be alive in a year? • A. 422 • B. 419 • C. 315 • D. 485

Answers

The number of 29 year olds who are not expected to be alive in a year would be A. 422 people.

What does the table show about Apextown ?

We see that in Apextown, the percentage of people who are expected to be alive in a year, based on their ages, is given.

For those who are 29 years of age, we see that the percentage of people who are expected to be alive in a year would be 99. 868 %. This means that the number of 29 year olds who would not be alive would be:

= Number of 29 years x ( 1 - percentage to be alive)

= 320, 000 x ( 1 - 99. 868 % )

= 320, 000 x 0. 00132

= 422. 4

= 422 people

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19PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY​

Answers

Using trigonometric functions, we can find the value of the missing sides as follows:

AC = 15.48units.

AB = 9units.

Define trigonometric functions?

The right triangle's angle serves as the domain input value for the six fundamental trigonometric operations, which return a range of numbers as their output. The angle, expressed in degrees or radians, is the domain of the trigonometric function of f(x) = sin, also referred to as the "trig function," and its range is [-1, 1]. In terms of their domain and scope, the other functions are comparable. Algebra, geometry, and calculus all make extensive use of trigonometric functions.

Here in the question,

As per the trigonometric function:

Sin30° = opposite side/hypotenuse

⇒ 1/2 = AB/18

Cross multiplying:

⇒ AB = 18/2

⇒ AB = 9units.

Now,

Cos30° = adjacent side/hypotenuse

⇒ 0.86 = AC/18

Cross multiplying:

⇒ AC = 15.48units.

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Solve the inequality for the variable: 2(3c + 15) + 4c > 100

Answers

Answer:

c > 7

Step-by-step explanation:

Now we have to,

→ Find the required value of c.

The equation is,

→ 2(3c + 15) + 4c > 100

Then the value of c will be,

→ 2(3c + 15) + 4c > 100

Applying Distributive property:

→ 2(3c) + 2(15) + 4c > 100

→ 6c + 30 + 4c > 100

Combining the like terms:

→ 10c + 30 > 100

→ 10c > 100 - 30

→ 10c > 70

Dividing the value 70 with 10:

→ c > 70 ÷ 10

→ [ c > 7 ]

Hence, the answer is c > 7.

Hello !

Answer:

[tex]\boxed{\sf c > 7 \ \ \ ||\ \ \ \sf (7,+\infty)}[/tex]

Step-by-step explanation:

We are looking for the values of c that satisfy the following inequality :

[tex]\sf 2(3c + 15) + 4c > 100[/tex]

Let's expand the left side of the inequality.

[tex]\sf 2\times 3c +2\times 15+4c > 100\\6c+30+4c > 100[/tex]

Now we will combine like terms :

[tex]\sf 10c+30 > 100[/tex]

Let's substract 30 from both sides of the inequality.

[tex]\sf 10c+30-30 > 100-30\\10c > 70[/tex]

Finally, let's divide both sides by 10.

10>0 so the inequality remains the same.

[tex]\sf\frac{10c}{10} > \frac{70}{10} \\\boxed{\sf c > 7}[/tex]

Have a nice day ;)

Creating an Exponential Model
In this activity, you will formulate and solve an exponential equation that models a real-world situation.
Emma doesn't have experience using credit cards. In fact, she just got her first one. She is also about to start her first year
of college. She uses her new credit card to purchase textbooks for her classes. The total comes to $300. These are the
terms of her credit card:
• It has a 15% annual interest rate.
• The interest is compounded monthly
• The card has $0 minimum payments for the first four years it is active.
The expression that models this situation is P(1 + r/n)^nt, where (1 + r/n) represents the growth factor of the interest rate. Emma also wonders how long it will take her balance of $300 to reach $450

Answers

It will take Emma about 4.04 years for her balance to reach $450, assuming she doesn't make any payments and the interest rate remains constant.

The formula that models this situation is P(1 + r/n)ⁿˣ, where P is the principal (the initial amount borrowed or invested), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time (in years) that the money is invested or borrowed.

In this case, the principal is $300, the annual interest rate is 15%, the interest is compounded monthly (so n = 12), and we want to find the time it takes for the balance to reach $450.

P = 300(1 + 0.15/12)¹²ˣ

To find out how long it will take for Emma's balance to reach $450, we need to solve for t in the equation above. We can do this by using logarithms to isolate the variable t:

=>  log(1.5) = 12t x log(1 + 0.15/12),

we can use the properties of logarithms. Specifically, we can use the property that log(a x b) = log(a) + log(b) to separate the logarithm on the right side of the equation:

log(1.5) = 12t x log(1 + 0.15/12)

log(1.5) = log[(1 + 0.15/12)¹²ˣ]   (using log(a x b) = log(a) + log(b))

Now we have two logarithms that are equal to each other. Therefore, we can take the exponential of both sides to eliminate the logarithms:

1.5 = (1 + 0.15/12)¹²ˣ

Simplifying this expression further, we get:

1.5 = (1.0125)¹²ˣ]

log(1.5) = log[(1.0125)¹²ˣ]]

log(1.5) = 12t x log(1.0125)

Finally, we can solve for t by dividing both sides by 12 x log(1.0125):

log(1.5) / [12 x log(1.0125)] = t

t ≈ 4.04

Therefore, the simplified expression is t ≈ 4.04.

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What are the coordinates of F' and G' for D(6.(2,5)) [F (3,11), G (2,8)]?

Answers

Answer: To find the coordinates of F' and G', we need to reflect points F and G across the line y = 5, since point D is located on this line.

For point F, the y-coordinate changes from 11 to -1, since the distance between the line y = 5 and point F is 6 units (2 times the distance between D and the line). Therefore, the coordinates of F' are (3,-1).

For point G, the y-coordinate changes from 8 to 2, since the distance between the line y = 5 and point G is 3 units (1.5 times the distance between D and the line). Therefore, the coordinates of G' are (2,2).

Thus, the coordinates of F' are (3,-1) and the coordinates of G' are (2,2).

Read the screenshot please answer this ASAP!!!!!!!! PLEASEEEEE

Answers

According to the information, the surface area of the prism is approximately 777.868 square inches, and its volume is approximately 3156.846 cubic inches.

How to calculate the surface area and volume of this prism?

Since the hexagonal bases are regular, we know that all the six triangles are congruent to each other.

Let's call the side length of the hexagon s. Then, the apothem of each triangular face is given as 9 inches, and the base of each triangular face is given as 10 inches. Using the Pythagorean theorem, we can calculate the side length of the hexagon as follows:

s^2 = (10/2)^2 + 9^2

s^2 = 25 + 81

s^2 = 106

s ≈ 10.2956 inches

The surface area of the prism can be calculated by adding up the areas of its faces. The hexagonal base has an area of:

A_base = (3√3/2) * s^2 ≈ 450.978 square inches

The area of each triangular face is:

A_tri = (1/2) * base * height = (1/2) * 10 * 9 = 45 square inches

So the total surface area of the prism is:

A_total = 2A_base + 6A_tri

A_total = 2(450.978) + 6(45)

A_total ≈ 777.868 square inches

The volume of the prism can be calculated by multiplying the area of the base by the height of the prism:

V = A_base * height

V = 450.978 * 7

V ≈ 3156.846 cubic inches

Therefore, the surface area of the prism is approximately 777.868 square inches, and its volume is approximately 3156.846 cubic inches.

Note: This question is incomplete. Here is the complete information:

Calculate the surface area and volume of this prism.

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Solve for length of segment c.
3 cm
12 cm
18 cm
C = [?] cm
If two segments intersect inside
or outside a circle: ab = cd

Answers

The value of c for the intersecting secants is derived to be equal to 2 cm

What is the intersecting secant theorem

The intersecting secant theorem, also known as the secant-secant theorem, states that when two secant lines intersect outside a circle, the product of the length of one secant segment and its external segment is equal to the product of the length of the other secant segment and its external segment.

c × 18 cm = 3 cm × 12 cm

c18 cm = 36 cm²

c = 36 cm²/18 cm

c = 2 cm

Therefore, the value of c for the intersecting secants is derived to be equal to 2 cm.

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Answer:

c=2cm

Step-by-step explanation:

ab=cd

3•12=18•c

36=18(c)

36/18=2

18(c)=c

c=2

Area use a 7. 2 pans of blue pink and white paint to paint her bedroom walls 1/4 of this month is blue pants and the rest is wipe it how many pensive white paint did you use to paint her bedroom walls

Answers

If 1/4 of this amount is blue paint, and the rest is white paint, Area used 5.4 pints of white paint to paint her bedroom walls.

Given that Area used a total of 7.2 pints of blue and white paint to paint her bedroom walls. And 1/4 of the amount is blue paint, then the remaining 3/4 of the amount must be white paint.

To find the amount of white paint used, we can use the following formula:

Amount of white paint = Total amount of paint - Amount of blue paint

Since we know that the total amount of paint used is 7.2 pints and 1/4 of that amount is blue paint, we can calculate the amount of blue paint as:

Amount of blue paint = (1/4) x 7.2 = 1.8 pints

Now we can substitute these values in the formula to find the amount of white paint used:

Amount of white paint = 7.2 - 1.8 = 5.4 pints

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The question is: Emily sold 56 of the 145 bracelets. What percent of the bracelets did she sell? Show your strategy.

Answers

Answer:

[tex]percentage = \frac{56}{145} \times 100[/tex]

56/145×100

0.386...×100

38.6%

I need this ASAP PLEASE !!

How many solutions does the system of linear equations shown in the following graph have?

A . 0
B. 1
C. 5
D. Infinity

Answers

Answer:4

Step-by-step explanation:

D I think but I could be wrong

5. A cylinder has radius 3 inches and height 5 inches. A cone has the same radius and height. (Lesson 5-13)

b. Find the volume of the cone.
c. What fraction of the cylinder's volume is the cone's volume?

Answers

b. The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone. In this case, the radius of the cone is 3 inches and the height is also 5 inches, so the volume of the cone is:

V = (1/3)π(3^2)(5) = 15π cubic inches

c. The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder. In this case, the radius is 3 inches and the height is 5 inches, so the volume of the cylinder is:

V = π(3^2)(5) = 45π cubic inches

The fraction of the cylinder's volume that is the cone's volume can be found by dividing the volume of the cone by the volume of the cylinder:

(15π) / (45π) = 1/3

Therefore, the cone's volume is 1/3 of the cylinder's volume.

A cone has a radius of 6 m and a height of 24 m. What is the volume of the cone in terms of π? 864π m3 432π m3 288π m3 144π m3

Answers

The volume of the cone in terms of π is 288π cubic meters, which corresponds to option (c) in the given answer choices.

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume, r is the radius, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3)π(6 m)^2(24 m)

V = 288π m^3

Therefore, correct option is C.

This is because π is an irrational number that cannot be expressed as a finite decimal or fraction, so any approximation would be less precise than the exact value in terms of π.

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USE A MODEL In a mathematics exam with a maximum score of 100, Machelle loses less than 27 points. The table shows the grade that matches the exam score. Compare points to grades and identify which grade Machelle can get.

Answers

Machelle can get a grade of D or higher on her exam.

Describe Inequality?

In mathematics, an inequality is a mathematical statement that describes a relationship between two quantities that are not necessarily equal. An inequality can express that one quantity is less than, less than or equal to, greater than, greater than or equal to, or not equal to another quantity.

Inequalities can be represented using various symbols. For example, the symbol < represents "less than," the symbol > represents "greater than," the symbol ≤ represents "less than or equal to," and the symbol ≥ represents "greater than or equal to." The symbol ≠ represents "not equal to."

Inequalities are also used in algebra to solve equations and to represent the solution set of an equation. In this context, an inequality can represent all the possible values of a variable that satisfy the equation. For example, the inequality x > 5 represents all the values of x that make the expression x - 5 positive.

We can write an inequality to represent the number of points, m, obtained by Machelle on her exam:

m > 100 - 27

Simplifying this expression, we get:

m > 73

This means that Machelle must have scored more than 73 points on her exam. Based on the table, we can see that a score of more than 73 points corresponds to a grade of at least a D. Therefore, Machelle can get a grade of D or higher on her exam.

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The complete question is:

What is the area of the shaded region in the figure below? (7.G.6)

Answers

Answer:

The area of the shaded region is 21 square units.

7 × 3 = 21 square units

You work in a pharmacy that mixes different concentrations of saline solutions for its customers. The pharmacy has a supply of two concentrations, 0.50% and 2%. The function
100(0.02) + x(0.005)
y=
100 +x
gives the amount x in milliliters of the 0.5% solution you must add to 100 milliliters of the 2% solution to form a new concentration y of saline solution. How
many milliliters of the 0.5% solution must you add for the combined solution to have a concentration of 0.88%?
You must add approximately mL.
(Round to one decimal place as needed)

Answers

Answer:

  294.7 mL

Step-by-step explanation:

You want to know the volume (x) in mL of 0.5% solution to be added to 100 mL of 2% solution to make a mix that has a concentration of 0.88%.

Setup

The given equations seem to be missing something. We want ...

  100(0.02) +x(0.005) = (100 +x)(0.0088)

Solution

We like to play with larger numbers, so we'll multiply this equation by 100 as we simplify it.

  200 +0.5x = 88 +0.88x

  112 = 0.38x . . . . . . . . . . . . . subtract 88+0.5x

  294.7 = x . . . . . . . . . . . . divide by 0.38

You must add approximately 294.7 mL of 2% solution.

9 divided 7/3























































sdfghjkl;lkjhgfdsaedrtyujiuhgfd

Answers

The result of 9 divided by 7/3 is 12 3/7.

What is the result of 9 divided by 7/3?

When dividing by a fraction, it's the same as multiplying by its reciprocal. Therefore, to divide 9 by 7/3, we can multiply 9 by 3/7. This gives us (9 x 3) / 7 = 27/7.

However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3.

Thus, 27/7 can be simplified to 9 and 6/7, or 12 and 3/7 when expressed as a mixed number. Therefore, the answer to 9 divided by 7/3 is 12 and 3/7.

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if a cube numbered 1 to 6 is tossed 300 times, about how many times would you predict the cube to land on a number greater than 4?

Answers

Answer: 100 times

Step-by-step explanation:

The cube is numbered 1 to 6. That is, 1, 2, 3, 4, 5, 6. That means there are 6 possible outcomes for each toss. But there are 2 outcomes we want, 5 and 6 (greater than 4).

So, for each toss, there is a probability of 2/6 = 1/3 that this will occur.

With 300 tosses, we can say that this will probably happen 300 times. This means that it will happen

1/3 * 300 times = 100 times.

Therefore, we can predict we will get a 5 or 6 about 100 times.

a bridge crosses a river that is 1,400 feet wide. one bank of the river holds of the bridge while the other holds of the bridge. how long is the bridge?

Answers

The length of the bridge is 980 feet.

What is the length of a bridge crossing a 1,400 feet wide river if one bank holds 3/7 of the bridge and the other bank holds 4/7 of the bridge?

Let's denote the length of the bridge as x. According to the problem, one bank of the river holds 3/7 of the bridge, which means that the other bank holds 4/7 of the bridge.

Therefore, we can write the following equation:

3/7 x + 1400 + 4/7 x = x

Simplifying this equation, we get:

6/7 x + 1400 = x

Subtracting 6/7 x from both sides, we get:

1/7 x + 1400 = 0

Subtracting 1400 from both sides, we get:

1/7 x = -1400

Multiplying both sides by 7, we get:

x = -9800

Since the length of the bridge cannot be negative, we need to discard this solution. Therefore, the only valid solution is:

x = 980

So the length of the bridge is 980 feet.

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Almed Company reported the following information for 2013 and 2014.Prepaid insurance, December 31, 2013 $ 2,400Prepaid insurance, December 31, 2014 1,500Insurance expense--2014 14,200How much cash was paid for insurance during 2014?A. $13,300B. $14,200C. $15,100D. $15,700

Answers

Cash paid for insurance during 2014 was $15,100.The following formula can be used to determine the cash spent on insurance in 2014:

Insurance expense in 2014 minus an increase in prepaid insurance = Cash paid for insurance.

The difference between the prepaid insurance balance at December 31, 2014, and December 31, 2013, can be used to compute the rise in prepaid insurance:

Prepaid insurance at December 31, 2014 minus Prepaid insurance at December 31, 2013 equals $1,500 minus $2,400, or -$900.

The fact that the prepaid insurance balance fell between 2013 and 2014 indicates that the business used more insurance coverage than it had purchased for the year. As a result, the 2014 insurance premiums paid in cash are:

Insurance expense for 2014 minus the increase in prepaid insurance is $14,200 - (-$900) = $15,100 in cash paid for insurance.

The correct response is (C) $15,100.

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if we know that t.05= 1.812 when df = 10, then it is correct to say

Answers

Knowing that t.05 = 1.812 when df = 10 helps us to determine the critical value of t for hypothesis testing in this scenario.

If we know that t.05 = 1.812 when df = 10, then it is correct to say that the critical value of t at the 5% significance level for a two-tailed test with 10 degrees of freedom is 1.812.

The t-distribution is a family of probability distributions that depend on the sample size and the degrees of freedom (df). The degrees of freedom represent the number of independent observations available to estimate the population parameters. In this case, when df = 10, the t-distribution has thicker tails compared to the standard normal distribution.

The value t.05 represents the critical value of t at the 5% significance level (or alpha level) in a two-tailed test. This means that if the calculated t-value falls outside the range of -t.05 to +t.05, then the null hypothesis can be rejected.

Therefore, knowing that t.05 = 1.812 when df = 10 helps us to determine the critical value of t for hypothesis testing in this scenario.

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This means that for a t-distribution with 10 df, 95% of the data lies within ±1.812 standard deviations from the mean.

If we know that t.05= 1.812 when df = 10,

then it is correct to say that the probability of obtaining a t-value greater than

1.812 or less than -1.812 is 0.05,

assuming a two-tailed test and a significance level of 0.05.

This means that if we calculate the t-value for a sample with 10 degrees of freedom and the calculated t-value falls

outside the range of -1.812 to 1.812,

we can reject the null hypothesis at the 0.05 significance level.

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