Jordan runs to the end of his street and back home every day. The total distance of a trip to the end of the street and back home is 7/8 mile.
How many miles has Jordan run after 6 days?

The median of the following set of numbers  (18, 26, 29, 18, 44) is 26. The correct option to this question is option A

To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order

                            18 , 18 , 26 , 29 , 44   . . . . . .  . . . .(1)

Since the number of terms is odd we will apply the formula

                     Median  = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)

       Here n = number of terms

As per question the n = 5

Therefore putting in equation 2 we get

                      Median = \(\frac{(5+1)}{2} th\) term

                      Median = \(\frac{6}{2} th \\\)  term

                      Median = 3 term

Hence the third term from the sequence ( shown in 1 ) we get the median that is 26

Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .

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The median is:

26

Explanation:

First, we will arrange the numbers from least to greatest.

18, 26, 29, 18, 44

Rearrange

18, 18, 26, 29, 44.

Now, the median is the number in the middle, which is 26.

Answer:

January

February

March

April

May

June

July

August

September

October

November

December

---------------------------------------

spring, summer, fall, and winter

Answer:

Spring, Summer, Fall, Winter,

January, February, March, April, May, June, July, August, September, October, November, December.

You'd first have to divide the first to, then add an divide your sume by the percent to get your answer.

Answer:

Step-by-step explanation:

Use formulaic methods. Since she has interest on her money, we have to include it:

i = log(x-4*7)^k

i is the interested amount, x is the variable we use, and k is the number of times. 7 is the interest

i = log(4000-4x7)^2 for 4000 at 7% interest over 2 years

i = log(4000-4x7)^10 for 4000 at 7% interest over 10 years

Amount after 2 years: $30,000

Amount after 10 years: $15,671

Answer:

It would be -4 for "x" and -6 for "y"

Step-by-step explanation:

x+z=-4+-6=-10

x-y=-4--6=2

If Jacqueline bought a bicycle at wholesale cost for $210 dollars. If the bicycle is normally $300 from the local bike shop, Then 30% markup the bike shop adds to the wholesale cost

Percentage, a relative value indicating hundredth parts of any quantity.

Given,

Jacqueline bought a bicycle at wholesale cost for $210 dollars.

The actual price of bicycle is normally $300 from the local bike shop.

We need to find the percent markup the bike shop adds to the wholesale cost.

For this we need to find the difference and we have to divide it by actual price

300-210/300=90/300=0.3

Now multiply 0.3 with 100 as hundredths to get the percentage value

0.3×100=30

Hence 30 percent markup the bike shop adds to the wholesale cost

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the simplified  form  of expression is: -(x² + 2x - 2)/((x+2)*(x+4))

what is expression  ?

In mathematics, an expression is a combination of numbers, variables, operators, and/or functions that represents a mathematical quantity or relationship. Expressions can be simple or complex

In the given question,

To evaluate the expression 1/(x+2) - (x+1)/(x+4), we need to find a common denominator for the two terms. The least common multiple of (x+2) and (x+4) is (x+2)(x+4).

So, we can rewrite the expression as:

(1*(x+4) - (x+1)(x+2))/((x+2)(x+4))

Expanding the brackets, we get:

(x+4 - x² - 3x - 2)/((x+2)*(x+4))

Simplifying the numerator, we get:

(-x² - 2x + 2)/((x+2)*(x+4))

Therefore, the simplified expression is:

-(x² + 2x - 2)/((x+2)*(x+4))

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The football travels about 29.67 meters horizontally before hitting the ground.

(a) We can find the horizontal and vertical components of the initial velocity of the football using trigonometry. Let v be the initial speed of the football, and let θ be the angle it is kicked at.

The horizontal component of the velocity is given by:

vx = v cosθ

Plugging in the values for the speed and angle, we get:

vx = 18 cos 65° ≈ 7.49 m/s

The vertical component of the velocity is given by:

vy = v sinθ

Plugging in the values for the speed and angle, we get:

vy = 18 sin 65° ≈ 16.59 m/s

So the horizontal component of the initial velocity is about 7.49 m/s, and the vertical component is about 16.59 m/s.

(b) We can find the time the football is in the air using the vertical component of the velocity and the acceleration due to gravity, which is -9.81 m/s^2 (negative because it acts downward). We can use the following kinematic equation:

vf = vi + at

where vf is the final velocity, vi is the initial velocity, a is the acceleration, and t is the time.

When the football reaches its maximum height, its vertical velocity will be zero. We can use this to find the time it takes to reach the maximum height:

0 = vy + at_max

Solving for t_max, we get:

t_max = -vy/a = -(18 sin 65°)/(-9.81) ≈ 1.98 s

The total time the football is in the air is twice the time it takes to reach the maximum height:

t_total = 2t_max ≈ 3.96 s

So the football is in the air for about 3.96 seconds.

(c) We can find the horizontal distance the football travels before hitting the ground using the horizontal component of the velocity and the time the football is in the air. We can use the following kinematic equation:

Δx = vxt

where Δx is the distance traveled, vx is the horizontal component of the velocity, and t is the time.

Plugging in the values for vx and t, we get:

Δx = (7.49 m/s) × (3.96 s) ≈ 29.67 m

So the football travels about 29.67 meters horizontally before hitting the ground.

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The sampling technique used in this scenario is Random sampling

The correct answer is an option (a)

We know that the random sampling is nothing but a method of choosing a sample of observations from a population to make assumptions about the population. It is also called as a porbability sampling.

It  allows for the randomization of sample selection.

There are four random sampling methods –

simple random sampling,

systematic sampling,

stratified sampling,

and cluster sampling.

In random sampling, the randomized selection of a small segment of individuals or members from a whole population.

Here, the soda bottle company  have equipment that can pull every tenth bottle from the assembly line without causing a backup on the line.

Therefore,  the sampling technique used: Random

The correct answer is an option (a)

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The complete question is:

Select the sampling technique used:

A soda bottling company needs to test the quality of the bottles they produce. They have equipment that can pull every tenth bottle from the assembly line without causing a backup on the line.

a) Random

b) Stratified

c) Cluster

d) Systematic

e) Convenience

Answer:

1. x=4

2. x=10

Step-by-step explanation:

4x+9=25

Subtract 9 from both sides.

4x+9-9=25-9

>>4x=16

Then, divide 16 by 4.

x=16/4

>>x=4.

5x+12=62

Subtract 12 from both sides.

5x+12-12=62-12

>>5x=50

Divide 50 by 5.

x=50/5

x=10.

Hope this helps! Have a great day!

Answer:

x = -4

y = 1

Step-by-step explanation:

I added a photo of my solution

The similarity between axb and bxa is that they both represent the cross product of vectors a and b. The difference is that axb follows the right-hand rule, while bxa is in the opposite direction of the right-hand rule.

In the given context, let "a" and "b" be two linearly independent vectors in 3 dimensions.

The similarity between "axb" and "bxa" is that they both represent the cross product (also known as the vector product) of vectors "a" and "b". The cross product is a binary operation that takes two vectors as input and produces a new vector that is orthogonal (perpendicular) to both input vectors.

The difference between "axb" and "bxa" lies in the direction of the resulting cross product vector. In the case of "axb", the resulting vector is directed according to the right-hand rule, which means if you point your right thumb in the direction of vector "a" and your index finger in the direction of vector "b", then your middle finger will indicate the direction of the cross product vector.

On the other hand, in the case of "bxa", the resulting vector is directed opposite to the right-hand rule. This means that if you follow the same procedure with your right hand, the resulting vector will be in the opposite direction compared to "axb".

In summary, the cross product "axb" and "bxa" are both vector operations that yield a vector orthogonal to the input vectors, but they differ in terms of the direction of the resulting vector.

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The potential difference across the resistor is 0.625 volts if a resistor uses energy at a rate of 2.50W when there is a current of 4.00 A passing through it.

To determine the potential difference (voltage) across a resistor, you can use Ohm's Law, which states that the voltage across a resistor is equal to the current flowing through it multiplied by its resistance. Mathematically, it can be expressed as

V = I × R

Where

V is the voltage (potential difference) across the resistor,

I is the current passing through the resistor, and

R is the resistance of the resistor.

In this case, you are given the current (I = 4.00A) and the power (P = 2.50W) consumed by the resistor. The power can be calculated using the formula

P = V × I

Rearranging the formula, we can solve for the voltage (V)

V = P / I

Substituting the given values

V = 2.50W / 4.00A

V = 0.625 volts

Therefore, the potential difference across the resistor is 0.625 volts.

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Between parallel and perpendicular lines, the lines that never meet are parallel lines.

Parallel lines are two or more lines that never meet, no matter how far they are extended. Parallel lines have the same slope and are always equidistant from each other and they lie in the same plane. Perpendicular lines are two lines that intersect at a 90-degree angle, creating right angles.

Parallel lines run in the same direction and never intersect, while perpendicular lines intersect at a 90-degree angle. Parallel lines are always equidistant from each other, while the distance between two perpendicular lines varies depending on the placement of the lines.

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The full question is:

Parallel or perpendicular lines; which lines never meet ?

All possible values for the number of quarters that he could have would be 15.6 ≤ y ≤ 18.

Given that, Jayden has at most 25 coins worth at least $4.60 combined.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let x represent the number of dimes that Jayden has.

Let y represent the number of quarters that Jayden has.

Jayden has some dimes and some quarters. He has at most 25 coins. It means that

x + y ≤ 25

The coins worth at least $4.60 combined. It means that

0.1x + 0.25y ≥ 4.6 ---------(1)

If Jayden has 7 dimes, then

7 + y ≤ 25

y ≤ 25 - 7

y ≤ 18

Substituting x = 7 into inequality (1), it becomes

0.1 × 7 + 0.25y ≥ 4.6

0.7 + 0.25y ≥ 4.6

0.25y ≥ 4.6 - 0.7

0.25y ≥ 3.9

y ≥ 3.9/0.25

y ≥ 15.6

Therefore, all possible values for the number of quarters that he could have would be 15.6 ≤ y ≤ 18.

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Thus, the vertex is at (-1, -2), and the equation of the parabola is: (y + 2)^2 = 8(x + 1).

Since the directrix is the line x = -1, the focus is 2 units to the right, at (1, -2). Since the parabola is symmetric with respect to the line y = -2, the vertex is (h, -2).

Since p = 2, the distance from the vertex to the focus is 2 units and the distance from the vertex to the directrix is also 2 units. Thus, the vertex is equidistant from both the focus and the directrix.

Using the distance formula, we get:

sqrt((h - 1)^2 + (-2 - (-2))^2) = 2 + h + 1

Simplifying and solving for h, we get:

sqrt((h - 1)^2) = h + 3

(h - 1)^2 = (h + 3)^2

Simplifying and solving for h, we get:

h = -1

Thus, the vertex is at (-1, -2), and the equation of the parabola is:

(y + 2)^2 = 8(x + 1)

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thank me the answer is x=3.6

Answer:

x = 5 1/3

Step-by-step explanation:

6 = x + 2/3

-2/3 -2/3

5 1/3 = x

Answer:

\(\boxed {x = \frac{16}{3}}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(6 = x + \frac{2}{3}\)

-Switch sides:

\(6 = x + \frac{2}{3}\)

\(x + \frac{2}{3} = 6\)

-Subtract \(\frac{2}{3}\) to both sides and convert 6 to a fraction:

\(x + \frac{2}{3} - \frac{2}{3}= 6 - \frac{2}{3}\)

\(x = \frac{18}{3} - \frac{2}{3}\)

-Since both fractions have the same denominator, then you subtract the numerators:

\(x = \frac{18 - 2}{3}\)

\(\boxed {x = \frac{16}{3}}\)

Therefore, the value of \(x\) is \(\frac{16}{3}\).

Answer:

ANSWER IS C: 71.80

Step-by-step explanation:

hope this helps :D you got this!!

The amount that corresponds to the new monthly payment of Jose is approximately $75.34. Hence, option D is correct.

Credit cards are a widely used financial tool that allow individuals to make purchases on credit. The main use of a credit card is to allow the cardholder to borrow money from the card issuer

If Jose decides to pay off Credit Card B using his savings of $1,750, he will have a remaining balance of $1,154 on Credit Card A.

If he transfers the balance of Credit Card A to the new card with a low introductory rate of 8%, he will incur a balance transfer fee of $60.

The total balance transferred =  $1,154 + $60 = $1,214.

To determine his new monthly payment, we need to calculate the monthly interest rate on the new card.

At an annual interest rate of 8%, the monthly interest rate is :

8% / 12 = 0.67%.

Using an online loan calculator or spreadsheet, we can calculate that the monthly payment required to pay off a balance of $1,214 in 18 months at a monthly interest rate of 0.67% is $75.34 (rounded to the nearest cent).

Therefore, the answer is D. $75.34, which represents Jose's new monthly payment.

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Answer:

√17

Step-by-step explanation:

it's got to be a little more than four which is √16

Answer:

See below.

Step-by-step explanation:

I think the answer that makes most sense here is √17. √15 is close, but the square root of 16 is 4, and the point on the number line is a tad bit past 4.

-hope it helps

Answer:

180 ÷ 5 = 36 ur answer is $36

Step-by-step explanation:

Answer:

It costs $8 for a person to rent a locker but they also have to pay admission to get in so admission plus locker makes it $36.

Step-by-step explanation:

Parts of the question are covered so i dont know if i missed something, I would say $36 because you can't rent a locker if you're not in the park.

Bro you in my math class you cheatin yo I’m crying

To describe the typical quiz scores of the students, a common measure used is the mean, or average, score. The mean is calculated by summing up all the scores and dividing by the total number of scores.

Given its simplicity and simplicity in interpretation, the mean was chosen as a proxy for normal quiz scores. It offers a solitary figure that encapsulates the scores' median. We can figure out the pupils' overall performance on the quiz scores by computing the mean.

It's crucial to keep in mind, though, that outliers or extremely high scores dividing might have an impact on the mean. The mean may not be an accurate representation of the normal results of the majority of students if there are a few students who severely underperform or do very well on the quizzes.

To get a more thorough picture of the distribution of quiz results in such circumstances, it might be beneficial to take into account additional metrics like the median or mode.

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Final Answer:  a. 160 lb

a . Load Limit is 4000 lb and number of passengers that are allowed is 25.

So maximum mean weight = (Total load limit)/(number of passengers)

maximum mean weight = 4000/25 = 160

Hence Maximum mean weight is 160.

b.

The function of the exponential decay will be y = 870(0.75)ˣ. Then the value of the quantity after 10 weeks will be 49.

Consider the function:

y = a(1 ± r)ˣ

where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction.

If there is a negative sign, then there is exponential decay happening by r fraction.

A quantity with an initial value of 870 decays continuously at a rate of 0.75% per day.

Then the function is given as

y = 870(0.75)ˣ

Then the value of the quantity after 10 weeks will be

y = 870(0.75)¹⁰

y = 870 (0.0563)

y = 48.99

y ≅ 49

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Answer:

111.7

Step-by-step explanation:

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

Length of Sarah rope    = 6 m

Length of Amanda's rope  = 4 m

Length of Mary's rope  = 7 m

Step-by-step explanation:

Let the length of Sarah rope = x

Length of Amanda's rope= x - 2

Length of Mary's rope = (x - 2 ) + 3 = x - 2 + 3 = x + 1

Length of rope = 17 m

x + x - 2 + x + 1 = 17

Combine like terms

x + x + x - 2 + 1 = 17

       3x  - 1 = 17

Add 1 to both sides

3x = 17 + 1

3x = 18

Divide both sides by 3

x = 18/3

x = 6

Length of Sarah rope = x  = 6 m

Length of Amanda's rope= x - 2 = 6 - 2 = 4 m

Length of Mary's rope =   x + 1 = 6 + 1 = 7 m

Answer:

TV=6 inch

Step-by-step explanation:

If Triangle JKL is similar to Triangle TUV, the following ratio applies.

\(\dfrac{JK}{TU}= \dfrac{KL}{UV}=\dfrac{JL}{TV}\\$JK=10in., JL=8in., KL=13in., TU=7.5., UV=9.75\\\dfrac{10}{7.5}= \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Picking any two equal ratios\\ \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Cross multiply\\13*TV=8*9.75\\TV=8*9.75 \div 13\\$TV=6 inch\)

The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.

We have,

The total number of people who watch drama.

= 12 + 20 + 19

= 51

The total number of people who is older than 20 years who watch drama.

= 20 + 19

= 39

Now,

The probability that the person selected is older than 20 years old and watching the drama movie.

= 39/51

= 0.765

Thus,

The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.

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Answer: x = 2.16

Step-by-step explanation:

The solution of the expression is, x = 2.16

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3.5x/9 = 4.2/5

Now, We can simplify for x as;

⇒ 3.5x/9 = 4.2/5

⇒ 3.5x = 4.2 × 9 / 5

⇒ 3.5x = 7.56

⇒ x = 2.16

Thus, The solution is, x = 2.16

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