Tim answered all the questions on his math test but got 101010 answers wrong. He received 444 points for every correct answer, and there was no penalty for wrong answers. His score was 767676 points. Write an equation to determine the total number of questions (q)(q)(, q, )on Tim's math test.

Answers

Answer 1

Answer:

q = 29

Step-by-step explanation:

4(q -10) = 76


Related Questions


What is the equation of the circle with center (1, −1) that passes through the point (5, 7)?

Answers

Hope this helps! I though writing everything down on paper would be more beneficial

If an object is shot upward with an initial velocity, v 0 v0 , in feet per second (ft/s), the velocity, v, in ft/s is given by the formula v= v 0 −32t v=v0−32t , where t is time in seconds. Find the initial velocity of an object if the velocity after 3 3 seconds is 28ft/s 28⁢ft/s

Answers

We are given a velocity equation, and from that, we want to find the initial velocity such that we know the velocity for a given time.

We will see that the initial velocity is 124 ft/s

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

Let's see how to solve this:

We have that the velocity equation:

v(t) = v₀ - (32 ft/s^2)*t

Where I added the units of the gravitational acceleration, which are in ft over seconds squared.

We want to get the value of the initial velocity, v₀, given that after 3 seconds the velocity is 28ft/s.

This means that:

v(3s) = 28 ft/s = v₀ - (32 ft/s^2)*3s

We can solve this for v₀:

28 ft/s = v₀ - (32 ft/s^2)*3s

28 ft/s + (32 ft/s^2)*3s = v₀

124 ft/s = v₀

So we can see that the initial velocity is 124 ft/s

If you want to learn more, you can read:

https://brainly.com/question/9163788

The idea in Exercise 3.51 generalizes to give a new formula for the expected value of any nonnegative integer-valued random variable. Show that if the random variable X takes only nonnegative integers as its values then E(X) = X[infinity] k=1 P(X ≥ k). This holds even when E(X) = [infinity], in which case the sum on the right-hand side is infinite. Hint. Write P(X ≥ k) as P[infinity] i=k P(X = i) in the sum, and then switch the order of the two summations.

Answers

Final answer:

The question asks to demonstrate that for a nonnegative integer-valued random variable X, the expected value E(X) equals the summation over all k of the probability P(X ≥ k). This is shown by expressing P(X ≥ k) as an infinite sum, switching the order of summation, and counting each probability P(X = i) exactly i times.

Explanation:

The student's question pertains to the calculation of the expected value (E(X)) of a nonnegative integer-valued random variable. Specifically, the question asks to show that for such a random variable X, the expected value can be expressed as E(X) = ∑₋∞ k=1 P(X ≥ k). To demonstrate this, we begin with the definition of expected value:

E(X) = μ = ∑ xP(x).

Next, we unpack P(X ≥ k) by writing it as an infinite sum of probabilities for all integers i starting from k:

P(X ≥ k) = ∑₋∞ i=k P(X = i).

To find the expected value, we consider the sum of all such probabilities over all k:

∑₋∞ k=1 P(X ≥ k) = ∑₋∞ k=1 ∑₋∞ i=k P(X = i).

We then switch the order of summation, so that we first sum over all possible values of i and then for each i, we sum over the corresponding k that contributes to P(X = i):

E(X) = ∑₋∞ i=1 P(X = i) ∑₉ i k=1.

By doing this, we count each P(X = i) exactly i times, which leads us to the initial definition of expected value, thus proving the given formula.

An election with 8 candidates has a 2-stage voting process. In the first stage, voters choose 1 candidate from all 8 names on the ballot. The 3 candidates who receive the most votes in the first round will appear on the second ballot. Due to time constraints, a print shop must prepare ballots for the second ballot in advance of the first-stage results.

How many different ballots must the shop prepare?

Answers

Answer:

56

Step-by-step explanation:

8C3 = 56

A researcher selects a sample of 25 participants from a population with a mean of 20 and a standard deviation of 10. What is the range of values for the sample mean that fall within 1 standard error of the mean in a sampling distribution?

Answers

Answer:

The range of values for the sample mean is between a lower limit of 19 and an upper limit of 21.

Step-by-step explanation:

sample mean = 20

sd = 10

n = 25

standard error = 1

Lower limit of sample mean = sample mean - standard error = 20 - 1 = 19

Upper limit of sample mean = sample mean + standard error = 20 + 1 = 21

The range of values for the sample mean is between 19 and 21.

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places. A. 0.250 B. 0.994 C. 0.500 D. 0.006 Click to select your answer.

Answers

Answer:

(D) 0.006

Step-by-step explanation:

Total number of cards :52

Please note that, all cards have a the possibility of appearing 4 times.

Hence total possible number of a '2' is 4 cards and so it is also for a '10'

Having this Understanding, let's solve the question properly.

The probability that the FIRST CARD is 2 = 4/52

Probability that the second card without replacement is a 10 = 4 / 51

P( 1st two and 2nd four)

4/52 * 4/51 = 4/663

= 0.0060332

Rounding to 3 decimal places = 0.006

Can someone help me on this?? I'm stuck!

Find the total area for the regular pyramid.

T. A. =

Answers

Answer:

[tex]TA=(144+36\sqrt{3})\ units^2[/tex]

Step-by-step explanation:

we know that

The total area or surface area of the regular pyramid is equal to the area of the triangular base plus the area of its three lateral triangular faces

so

step 1

Find the area of the triangular base B

Is an equilateral triangle

Applying the law of sines

[tex]B=\frac{1}{2}(12^2)sin(60^o)[/tex]

[tex]B=\frac{1}{2}(144)\frac{\sqrt{3}}{2}[/tex]

[tex]B=36\sqrt{3}\ units^2[/tex]

step 2

Find the area of the lateral triangular faces

[tex]A=3[\frac{1}{2}(12)h][/tex]

Find the height

Applying the Pythagorean Theorem

[tex]10^2=6^2+h^2[/tex]

[tex]h^2=100-36\\h^2=64\\h=8\ units[/tex]

Find the area of the lateral triangular faces

[tex]A=3[\frac{1}{2}(12)8]=144\ units^2[/tex]

therefore

The total area is

[tex]TA=(144+36\sqrt{3})\ units^2[/tex]

The voters of the city passed an ordinance to increase their sales tax by ¼ percent. The proceeds of the sales tax are to be used for culture and recreation. In the governmental activities journal, how would the ¼ percent sales tax revenue be recorded?

Answers

Answer:

General Revenue Sales Tax

Step-by-step explanation:

The ¼ percent would be recorded as general revenue sales tax in government activities journal.

This is because the revenue from the tax are categorised as the revenues generated from payrolls (which are imposed on employers), income and profits taxes, social security contributions, taxes levied on goods and services.

Options:

Program Revenue-Culture and Recreation-Sales Tax.

Program Revenue-Culture and Recreation-Operating Grants and Contributions.

General Revenue-Sales Tax.

General Revenue-Culture and Recreation-Sales Tax.

Answer:

General Revenue - Sales Tax

Step-by-step explanation:

General revenue is the income that is generated by the state which may be used to serve any administrative purpose by the state, and tax revenue is the income that is generated by the state through taxation.

Since the sales tax is a way of generating income by the state, it should be recorded as sales tax under general revenue.

plz help i really need it

Answers

Answer:

y=\frac{1}{8}x+4

Step-by-step explanation:

first, we can quickly get rid of options 1 and 2, since the y-intercept is not -4, but +4.

this leaves us with options 3 and 4.

we can rule out option3, since the slope is not 4, but 1/8.

hope this helps :)

Having some trouble with this...pls help (in fraction form)

Answers

Answer:

[tex]\frac{17}{6}[/tex] or [tex]2\frac{5}{6}[/tex]

Step-by-step explanation:

1.Find the Least Common Denominator (LCD)

 LCD = 6

2.Make the denominators the same as the LCD.

   [tex]2+\frac{1*3}{2*3} + \frac{1*2}{3*2}[/tex]

3.Simplify. Denominators are now the same

   [tex]2+\frac{3}{6} + \frac{2}{6}[/tex]

4. Join the denominators

   [tex]2+\frac{3+2}{6}[/tex]

5.Simplify

   [tex]2\frac{5}{6}[/tex] = [tex]\frac{17}{6}[/tex]

Answer:

1 1/3

Step-by-step explanation:

Given function:

2y+xx= 1/3y= 1/2

Rewrite:

2·1/2+1/3

Find the solution:

[tex]2[/tex]·[tex]1/2=1[/tex] [tex]1+\frac{1}{3}=1\frac{1}{3}[/tex]

Therefore, 2y+x=1 1/3..

Which system of equations could be graphed to solve the equation below?

Answers

Answer:

B

Step-by-step explanation:

I think this is your full question and hope it is correct.

Which system of equations could be graphed to solve the equation below?

log(2x+1)=3x-2

A. y1=3x, y2=2x

B. y1=log(2x+1), y2=3x-2

C. y1=log2x+1, y2=3x-2

D. y1=log(2x+1+2), y2=3x

My answer:

We know that: log(2x+1)=3x-2  and they are a equation of log and linear so we need to make system of equation.

The left side is: [tex]y_{1}[/tex] => [tex]y_{1} = log( 2x+1)[/tex]

The right side is : [tex]y_{2} = 3x -2[/tex]

The system of equations are:

[tex]\left \{ {{y_{1} =log(3x+1)} \atop {y_{2} =3x -2}} \right.[/tex]

Now we have two new function with x and y.

Christopher's back yard is in the shape of a trapezoid. The bases of his back yard are 30 and 40 feet long. The area of his back yard is 525 square feet. Write and solve an equation to find the height of Christopher's back yard.

Answers

Answer:

15 feet

Step-by-step explanation:

525 = ½(30+40)h

525 = 35h

h = 525/35

h = 15 feet

Rectangle N has an area of 5 square units. James drew a scaled version of Rectangle N and labeled it P. What scale factor did James use to go from Rectangle N to Rectangle P

Answers

Answer:3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

khan acadamy hope this helps

Kelly uses 8.7 paints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the rest is white paint. How many paints of white paint did she use to paint her bedroom walls

Answers

Answer: she used 6.525 pints of white paint.

Step-by-step explanation:

Kelly uses 8.7 paints of blue paint and white paint to paint her bedroom walls. If 1/4 of this amount is blue paint, it means that the amount of blue paint that she used in painting her bedroom walls is

1/4 × 8.7 = 2.175 pints of blue paint.

Since the rest of the paint is white, it means that the pints of white paint that she used to paint her bedroom walls is

8.7 - 2.175 = 6.525 pints of white paint

Answer:

she uses 6.525 pints of paint

Step-by-step explanation:

Brenda invests $4500 in a savings account earning 5.5% interest compounded quarterly. What will the account balance be after 7 years?

Answers

Answer: The account balance will be $6596 after 7 years.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $4500

r = 5.5% = 5.5/100 = 0.055

n = 4 because it was compounded 4 times in a year.

t = 7 years

Therefore,.

A = 4500(1 + 0.055/4)^4 × 7

A = 4500(1 + 0.01375)^28

A = 4500(1.01375)^28

A = $6596

Prime numbers problem

Answers

Answer:

The answer to your question is 2² 3² or (4)(9)

Step-by-step explanation:

Data

factor 36

Process

1.- Divide 36 by prime numbers starting from 2, then 3, 5, 7, etc.

                          36  2

                           18  2

                            9   3

                            3   3

                             1

2.- Write 36 as a composition of prime numbers

                         36 = 2²3²

3.- The prime factors of 36 are 2² x 3²

             

On a coordinate plane, a curved line crosses the y-axis at (0, 1), crosses the x-axis at (.25, 0), turns at point (2, negative 3), and crosses the x-axis (3.75, 0).
What is the range of the function on the graph?

all the real numbers
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
all the real numbers greater than or equal to –3

Answers

Answer:

All numbers greater than or equal to -3.

Step-by-step explanation:

Just took the edge test.

Answer:

yeah. its d

Step-by-step explanation:

edge test 2020

HRLP HELP HELP!!!!! nearest foot

Answers

The horizontal distance the plane has covered is 3940 feet

Explanation:

The plane makes an angle 10° with the ground when it took off from the field.

We need to find the horizontal distance the plane when it has flown 4000 feet.

The length of the hypotenuse is 4000 feet.

Let the horizontal distance be x.

We shall find the value of x using the cosine formula.

The formula is given by

[tex]cos \theta=\frac{adj}{hyp}[/tex]

Substituting the values, we have,

[tex]cos \ 10^{\circ}=\frac{x}{4000}[/tex]

Substituting the value for cos 10°, we get,

[tex]0.985=\frac{x}{4000}[/tex]

Multiplying both sides of the equation by 4000, we get,

[tex]0.985\times 4000=x[/tex]

Simplifying, we get,

[tex]3940=x[/tex]

Thus, the horizontal distance the plane has covered is 3940 feet

Factor the expression. 100k^3 – 75k^2 + 120k – 90


5(5k^2 + 6)(4k – 3)

(25k^2 – 6)(20k + 3)

5(5k^2 – 6)(4k + 3)

(5k^2 + 30)(4k – 15)

Answers

For this case we must factor the following expression:

[tex]100k ^ 3-75k ^ 2 + 120k-90[/tex]

We take common factor 5:

[tex]5 (20k ^ 3-15k ^ 2 + 24k-18) =[/tex]

We have two groups within the parentheses:

Group 1: [tex]20k ^ 3-15k ^ 2[/tex]

Group 2: [tex]24k-18[/tex]

We factor each group:

Group 1: [tex]6 (4k-3)[/tex]

Group 2: [tex]5k ^ 2 (4k-3)[/tex]

Rewriting we have:

[tex]5 (5k ^ 2 (4k-3) +6 (4k-3)) =\\5 ((5k ^ 2 + 6) (4k-3))[/tex]

Answer:

[tex]5 (5k ^ 2 + 6) (4k-3)[/tex]

Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage ofthe total variation that can be explained by the linear relationship between the two variables. r = 0.885 (x = weight of male, y = waist size of male)

Answers

Answer:

Step-by-step explanation:

The coefficient of determination = [tex]r^{2}[/tex] = [tex]0.885^{2}[/tex] = 0.7832

It means about 78% variation in waist size of males can be explained by their weight and about 23% can not be explained.

I need help plz and I have to show work

Answers

This is a very simple and easy problem. I'm not sure why you need someone else to solve it, but I hope this helps

a. Linear equation:

Let x be amount of movies rented

$8 + ($2.50 * x)

b.

$8 + ($2.50 * 10)

= $8 + $25.0

= $33

What value of x satisfies the equation x + 3 = -(x + 1)? a. x = 8
b.x = 8/3
c.x=-8/3
d.x=-8

Answers

Final answer:

The solution to the equation x + 3 = -(x + 1) is x = -2, which is not listed among the provided options. There may be an error in the question or provided options.

Explanation:

To find the value of x that satisfies the equation x + 3 = -(x + 1), we need to solve for x.

First, expand the right side of the equation: x + 3 = -x - 1. Then, add x to both sides of the equation to get 2x + 3 = -1. Finally, subtract 3 from both sides to obtain 2x = -4. Dividing both sides by 2 yields x = -2.

Upon examining the options provided, none of them match our solution. Therefore, there must be a mistake in the provided options or in the question as posed, because our correct solution is x = -2. This means the correct answer is not listed among the options a. x = 8, b. x = 8/3, c. x = -8/3, or d. x = -8.

A pool charges $4 each visit or you can buy a membership. Right and solve an inequality to find how many times a person should use a pool so that the membership is less expensive than paying each time. Interpret the solution

Answers

The inequality is:

[tex]n > \frac{m}{4}[/tex]

Membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership amount

Solution:

Given that,

A pool charges $4 each visit or you can buy a membership

Let "n" be the number of times you visit the pool

Let the membership amount of the pool be "m"

A pool charges $4 each visit

Therefore, cost for "n" visit is: $ 4n

The inequality showing that a membership is less expensive than paying each visit to the pool is:

4n > m

Divide both sides by "4"

[tex]n > \frac{m}{4}[/tex]

Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership amount

Half of Frank's weight added to Gary's weight equals 234. Half of Gary's weight added to Frank's weight is equal to 222 pounds. How much does Gary weigh?

Answers

Answer:

164 pounds

Step-by-step explanation:

Please see attached picture for full solution.

Please help. And show how you got your answer so I know how to do it.

Answers

Answer:

  9. (x, y) = (6√3, 3)

  10. (x, y) = (14, 14√2)

  11. (x, y) = (2√6, 3√2)

  12. (x, y) = (6, 2)

Step-by-step explanation:

Because you have memorized a short table of trig functions, you know that the ratio of side lengths of a 30°-60°-90° triangle is 1 : √3 : 2, and the ratio of side lengths of a 45°-45°-90° triangle is 1 : 1 : √2.

In each case, we compare the given side ratios to the known ratios for the kind of triangle we have. Then we multiply the triangle ratios by a scale factor that makes the given number match the corresponding ratio value. Matching the other ratio values, we can determine the values of the variables.

__

9. Using the side ratios for the 30-60-90 triangle, you have

  6 : x : y+9 = 1 : √3 : 2

Multiplied by 6, the ratios on the right are ...

  6 : x : y+9 = 6 : 6√3 : 12

  x = 6√3

  y +9 = 12

  y = 3

__

10. Using the side ratios for the 45-45-90 triangle:

  14 : x : y = 1 : 1 : √2

Multiplying the ratios on the right by 14, we have ...

  14 : x : y = 14 : 14 : 14√2

  x = 14

  y = 14√2

__

11. Again using the 30-60-90 ratios:

  √6 : y : x = 1 : √3 : 2

Multiplying the ratios on the right by √6, we have ...

  √6 : y : x = √6 : 3√2 : 2√6

  y = 3√2

  x = 2√6

__

12. Again, using the 45-45-90 ratios:

  x : 3y : 6√2 = 1 : 1 : √2

Multiplying the ratios on the right by 6, we have ...

  x : 3y : 6√2 = 6 : 6 : 6√2

  x = 6

  3y = 6

  y = 2

Simplify seven square root of three end root minus four square root of six end root plus square root of forty eight end root minus square root of fifty four.

Answers

[tex]7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54}[/tex] simplified as [tex]11\sqrt{3}- 7\sqrt{6}[/tex] or [tex]1.909[/tex] .

Step-by-step explanation:

We need to Simplify seven square root of three end root minus four square root of six end root plus square root of forty eight end root minus square root of fifty four. Which is equivalent to [tex]7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54}[/tex] :

[tex]7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54}[/tex]

⇒ [tex]7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{44}[/tex]

⇒ [tex]7\sqrt{3}- 4\sqrt{6} + \sqrt{16(3)} - \sqrt{9(6)}[/tex]

⇒ [tex]7\sqrt{3}- 4\sqrt{6} + 4\sqrt{(3)} - 3\sqrt{(6)}[/tex]

⇒ [tex]11\sqrt{3}- 4\sqrt{6}- 3\sqrt{(6)}[/tex]

⇒ [tex]11\sqrt{3}- 7\sqrt{6}[/tex]

[tex]\sqrt{3} = 1.732 , \sqrt{6} = 2.449[/tex]

⇒ [tex]11(1.723)- 7(2.449)[/tex]

⇒ [tex]1.909[/tex]

Therefore, [tex]7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54}[/tex] simplified as [tex]11\sqrt{3}- 7\sqrt{6}[/tex] or [tex]1.909[/tex] .

Answer:

11√3 - 7√6

Step-by-step explanation:

I took the test and got it right.

Its 10 3/5 miles from Alston to Barton and 12 1/2 miles from Barton to Chester. The distance from Alston to Durbin, via barton and Chester, is 35 miles how far is it from Chester to durbin

Answers

Answer:

It is  [tex]11\frac{9}{10}[/tex]  miles far from Chester to Durbin.

Step-by-step explanation:

Given:

Its 10 3/5 miles from Alston to Barton and 12 1/2 miles from Barton to Chester. The distance from Alston to Durbin, via barton and Chester, is 35 miles.

Now, to find the distance from Chester to durbin.

Distance from Alston to Barton = [tex]10\frac{3}{5} =\frac{53}{5} \ miles.[/tex]

Distance from Barton to Chester = [tex]12\frac{1}{2}\ miles =\frac{25}{2} \ miles.[/tex]

As, given the distance from Alston to Durbin, via barton and Chester, is 35 miles.

Thus, the total distance = 35 miles.

So, we add the distance of Alston to Barton and Barton to Chester and get the distance from Alston to Chester:

[tex]\frac{53}{5} +\frac{25}{2}[/tex]

[tex]=\frac{106+125}{10}[/tex]

[tex]=\frac{231}{10} \ miles.[/tex]

Distance from Alston to Chester  [tex]=\frac{231}{10} \ miles.[/tex]

Now, to get the distance from Chester to durbin we subtract distance from Alston to Chester from the total distance:

[tex]35-\frac{231}{10} \\\\=\frac{350-231}{10} \\\\=\frac{119}{10} \\\\=11\frac{9}{10}\ miles.[/tex]

Therefore, it is  [tex]11\frac{9}{10}[/tex]  miles far from Chester to Durbin.

Find the derivative of f(x) = 5 divided by x at x = -1. (1 point)

Answers

Answer:

  -5

Step-by-step explanation:

The power rule can be used.

  f(x) = 5x^-1

  f'(x) = 5(-1)x^(-1-1)

  f'(x) = -5x^-2

Then ...

  f'(-1) = -5(-1)^-2

  f'(-1) = -5

_____

The attached graph shows the value of the derivative at x=-1, along with a tangent line having that slope at the point (-1, f(-1)).

Find v × w if v = 3i + 8j – 6k and w = –4i – 2j – 3k.

Answers

Answer:

[tex]vXw =-36i+33j+26k[/tex]

Step-by-step explanation:

v = 3i + 8j – 6k

w = –4i – 2j – 3k

The cross product

[tex]v X w=\left|\begin{array}{ccc}i&j&k\\3&8&-6\\-4&-2&-3\end{array}\right|[/tex]

[tex]=i\left|\begin{array}{cc}8&-6\\-2&-3\end{array}\right|-j\left|\begin{array}{cc}3&-6\\-4&-3\end{array}\right|+k\left|\begin{array}{cc}3&8\\-4&-2\end{array}\right|\\[/tex]

[tex]=i(-24-12)-j(-9-24)+k(-6+32)\\vXw =-36i+33j+26k[/tex]

Marcus is working at a local pizzeria where he makes $12.50 per hour and is also working at the university bookstore where he makes $9.50 per hour. He must make at least $300 per week to cover his expenses but cannot work more than 30 hours per week in order to attend classes. Write a system of inequalities that models this situation where p represents the hours he works at the pizzeria and b represents the hours he works at the bookstore.

Answers

Answer: The system of inequalities that models this situation are

p + b ≤ 30

12.5p + 9.5b ≥ 300

Step-by-step explanation:

Let p represent the number of hours he works at the pizzeria.

Let b represent the number of hours he works at the bookstore.

He cannot work more than 30 hours per week in order to attend classes. This means that

p + b ≤ 30

Marcus is working at a local pizzeria where he makes $12.50 per hour and is also working at the university bookstore where he makes $9.50 per hour. He must make at least $300 per week to cover his expenses. This means that

12.5p + 9.5b ≥ 300

Other Questions
The average amount of time between hardware failures, calculated as the total amount of operation time for a specified number of units divided by the total number of failures, is known as __________. What is an essential component of all viruses? The following data on average daily hotel room rate and amount spent on entertainment (The Wall Street Journal, August 18, 2011) lead to the estimated regression equation = 17.49 + 1.0334x. For these data SSE = 1541.4.City Room Rate ($) Entertainment ($)Boston 148 161Denver 96 105Na.shville 91 101New Orleans 110 142 Phoenix 90 100 San Diego 102 120San Francisco 136 167San Jose 90 140Tampa 82 98(a) Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals).(b) Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that haye a daily room rate of $89 (to 2 decimals).(c) The average room rata in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals). Located in the vast Atlantic Ocean, about seven miles off the coast of Venezuela, is a small but fertile island that had retained from the period of its first discovery the name of Trinidad, and though picturesque, has rarely been visited by Europeans until the sixteenth century.A. is a small but fertile island that had retained from the period of its first discovery the name of Trinidad, and though picturesque, has rarely beenB. was the small but fertile island of Trinidad, which retained its name from the period when it had first been discovered, and though picturesque, it had rarely beenC. Trinidad is a small but fertile island that retains its name from the period of its first discovery, and though picturesque, has rarely beenD. is a small but fertile island, which has retained from the period of its first discovery the name of Trinidad, and though picturesque, had rarely beenE. the small but fertile island of Trinidad, retaining its name from the period of its first discovery, though picturesque, rarely In the groin stretch, you sit on the floor and put the soles of the feet together. Grabbing the ends of your feet with both hands and pulling your heels towards the groin as close as you can. Flexibility is considered good if the distance between heels and groin is:____________.1. 4 inches or less2. 6 inch or less3. 6 inch or more4. 7 inch or more What effect do the words "symphony," "crescendo," and "movement" have on the overall meaning of the poem? (From East 149th Street) Edgar ran eee meters per second, and Mathieu ran mmm meters per second. The boys ran for ttt seconds.The expression t(m-e)t(me)t, left parenthesis, m, minus, e, right parenthesis describes how many more meters Mathieu ran than Edgar ran during that time. We can also use the expression tm-tetmtet, m, minus, t, e to represent the same quantity.Match each amount in the situation with the expression that represents it.\ According to the dictionary, -ment can refer to an action, a place, or a state resulting from an action. This definition is useful to know because -ment functions as a:_______. 1. suffix. 2. verb. 3. prefix. 4. root. what is the mass of an object that experiences a gravitational force on earth of 2.5N Consider a process consisting of three resources. Assume there exists unlimited demand for the product, and that all activities are always performed in the following sequence. Resource 1 has a processing time of 6 minutes per unit. Resource 2 has a processing time of 3 minutes per unit. Resource 3 has a processing time of 5 minutes per unit. All three resources are staffed by one worker and each worker gets paid $11 per hour. (a) what is the cost of direct labor? (b) what is the labor content? (c) How much idle time does the worker at resource 3 have per unit? (d) What is the average labor utilization? (e) Assume the demand rate is 20 units per hour. What is the takt time? (f) Assume the demand rate is 20 units per hour. What is the target manpower? Akira was born to a Japanese-speaking mother and English-speaking father and is fluent in both languages. She recently participated in a study of bilingual university students. When she took a personality test in Japanese she had very different results than when she took the same test in English. According to Benjamin Whorf, this difference is caused by:_____________.1. unreliable tests.2. self-serving bias.3. invalid tests.4. linguistic determinism. There are 4 designd of necklaces available at a jewelry store. Each design is available in 3 types of stones. How many different combinations of 1 design and 1 stone of necklace can you have? Anita Job is the new Treasury Secretary and she is trying to interpret the inflation measures for two consecutive years. In Year 1, the aggregate price level increased by 8% and in Year 2, the aggregate price level increased by 5%. What term describes the change in the price level from Year 1 to Year 2? a. disinflation b. conflation c. deflation Based on past experience, a bank believes that 4% of the people who receive loans will not make payments on time. The bank has recently approved 300 loans. 6% of these clients did not make timely payments. What is the probability that over 6% will not make timely payments?A. 0.0721B. 0.9616C. 0.9279D. 0.0384 Find the surface area of the triangular prism shown below.I have no idea how to solve this "The proposed Constitution, therefore, is, in strictness, neither a national nor a federal Constitution, but a composition of both" is a statement likely taken from the ___. will mark as a brainlist if i get help w these two Matt buys an item with a normal price of $25 and uses a 10% off cupon. How much does he save by using the coupon? on 2Where is energy made in a cell?Select one:a. In ribosomesb. In the mitochondriac. In the cytoplasmd. In the nucleus I need help plsIts complicated