What is the formula for an eastbound car is going 4 miles per hour faster than a westbound car. the cars are 208 miles apart 2 hours after passing each other on a highway. what is the speed, in miles per hour, of the eastbound car?

Answers

Answer 1
Final Answer:

The speed of the eastbound car is 56 miles per hour.

Explanation:

Let x be the speed of the westbound car. Since the eastbound car is going 4 miles per hour faster, the speed of the eastbound car is  x + 4 .

The combined speed of both cars is x + (x + 4) = 2x + 4  miles per hour. In 2 hours, the cars cover a distance of 2(2x + 4) = 4x + 8 miles. This distance is equal to the sum of the distances covered by each car when moving towards each other.

Given that the cars are 208 miles apart, we can set up the equation:

4x + 8 = 208

Subtracting 8 from both sides:

4x = 200

Dividing both sides by 4:

x = 50

So, the speed of the westbound car is 50 miles per hour, and the speed of the eastbound car is 50 + 4 = 54 miles per hour. Therefore, the eastbound car is moving at 54  miles per hour.

In the end, the eastbound car's speed is 54 miles per hour, which is  4  miles per hour faster than the westbound car's speed of 50  miles per hour.

Full Question:

An eastbound car is going 4 miles per hour faster than a westbound car. the cars are 208 miles apart 2 hours after passing each other on a highway. what is the speed, in miles per hour, of the eastbound car?


Related Questions

Iliana was part of a group that was working on changing 0.4 repeated to a fraction. Each member of the group had a different answer. Which answer is correct?

Answers

[tex]\bf 0.444444444\overline{4}\impliedby \textit{and keeps on going}\\\\ -------------------------------\\\\ \textit{let's say }\boxed{x=0.444444444\overline{4}}\quad \textit{ thus }10\cdot x=4.44444444\overline{4} \\\\\\ \textit{wait a minute! }4.44444444\overline{4}\textit{ is really just }4+0.444444444\overline{4}[/tex]

[tex]\bf \textit{but we know }x=0.444444444\overline{4} \textit{ so then }4+0.444444444\overline{4}=\boxed{4+x} \\\\\\ \textit{wait a second! }10\cdot x\implies 10x=4.444444444\overline{4}=4+x \\\\\\ thus\qquad 10x=4+x\implies 10x-x=4\implies 9x=4\implies \boxed{x=\cfrac{4}{9}}[/tex]

you can check in your calculator.

anyhow, to get the "recurring decimal to fraction", you start by setting to some variable, "x" in this case, then move the repeating part to the left of the point by multiplying it by some power of 10, and then do the equating.

Iliana was part of a group that was working on changing 0.4 repeated to a fraction. The answer is 2.25.

How to convert percent to fraction and decimal?

Percentage counts the number compared to 100.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Iliana was part of a group that was working on changing 0.4 repeated to a fraction.

Each member of the group had a different answer.

Let x be 0.444444[tex]\bar 4[/tex]

So,

4 / 10 = 0.4

4 / 9 = 0.4444444...

9/ 4 = 2.25

Learn more about fraction addition here:

https://brainly.com/question/17544795

#SPJ2

Students were asked to measure a string as part of a physics experiment. The actual length of the string was 7.35 cm long. Which of the following groups of data show measurements from the most accurate group and why?

7.35 cm, 7.82 cm, 7.12 cm, because one of the measurements is closest to the actual length.
6.95 cm, 6.93 cm, 6.97 cm, because these have the most agreement between the measurements.
7.32 cm, 7.37 cm, 7.39 cm, because this group’s measurements are closest to the actual length. - My answer
7.90 cm, 7.91 cm, 7.89 cm, because these have the most agreement between the measurements.

Answers

We can calculate the average for each data set to check the closest group to the actual measurement

Data set 1: 
Mean= (7.35+7.82+7.12) ÷ 3 = 7.43

Data set 2:
Mean = (6.95+6.93+6.97) ÷ 3 = 6.95

Data set 3:
Mean =  (7.32+7.37+7.39) ÷ 3 = 7.36

Data set 4:
Mean = (7.90+7.91+7.89) ÷ 3 = 7.9

From our calculation, the closest mean value to the actual length is data set 3, hence the data set 7.32, 7.37, 7.39 is the most accurate group

In the triangle below, what ratio represents cot θ?

Answers

tanα=9/12

cotα=1/tanα

cotα=12/9

cotα=4/3
We know that the tangent of an angle in a right triangle is the opposite divided by the adjacent. This is the cotangent, so we reciprocate that to get that the cotangent is the adjacent divided by the opposite!
Plugging in, we get that the cotangent of the indicated angle is [tex]$\frac{12}{9}=\frac{4}{3}$[/tex].

10(2y+2)−y=2(8y−8)

y= ???

Answers

Y = -12
- distribute the 10 into (2y+2)
- distribute 2 into (8y-8)
You will have 20y +20 - y = 16y - 16
- bring the 20 to the other side to get
20y - y = 16y - 36
- subtract y from 2y to get 19y = 16y -36
- bring 16y to the other side to get 3y = -36
- divide 3 from both sides to single out y.
Your final answer is y = -12
10(2y+2)−y=2(8y−8) 
20y + 20 - y = 16y - 16
19y - 16y = -16 - 20
3y = -36
y = -36/3
y = -12

Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on the theoretical probability, which best describes Carmen’s prediction?

Answers

Sample space={1,2,3,4,5,6,7,8} = 8 possible outcomes
multiple of 4 ={4,8} = 2 favorable outcomes:

P(4 OR 8) = 2/8 = 1/4
Expected values after 200 rolls:

200 x P(4 or 8) = 200 x 1/4 = 50
The prediction is 50

Answer:

Carmen's prediction is low because 200 times  is 50.

Step-by-step explanation:

First of all we are going to define the sample space for this exercise.

The sample space is Ω = {1,2,3,4,5,6,7,8}

Given the event A : ''Roll an 8-sided die an get a multiple of 4''

The probability for the event A is

Because they are two numbers (4 and 8) over a total of eight numbers (1,2,3,4,5,6,7,8) that are multiple of 4.

Now, given the random variable X : ''Total of numbers multiples of 4 If she rolls

an 8-sided die 200 times''

X can be modeled as a Binomial random variable.

X ~ Bi (n,p)

X ~ Bi (200,)

In which n is the total times she rolls the 8-sided die and p is the success probability. We define a success as obtain a number multiple of 4.

The mean for this variable is

We answer that Carmen's prediction is low because 200 times  is 50.

In a given quadrilateral, each side is parallel to its opposite side and the diagonals are not perpendicular. What could it be? Check all that apply.

A. Square
B. Parallelogram
C. Rhombus
D. Rectangle

Answers

The answers are D:Rectangle, and B:Parallelogram

Solve the linear equation:
3.4 + 2(9.7 – 4.8x) = 61.2

Answers

3.4 + 2(9.7 – 4.8x) = 61.2 ,   x = -4

steps:
subtract 3.4 from both sides
simplify 
divide both sides by 2
subtract 9.7 from both sides
simplify again
divide both sides by -4.8
simplify once more 

At a certain time of the day, a tree 15m tall casts a shadow of 12m, while a second tree casts a shadow of 20m. how tall is that?

Answers

the two triangles created by the trees and their shadows are similar triangles. by definition the ratio created by matching sides are equal to the ratio of either of the other matching sides.

so the ratio of the shadow sides is equal to the ratio of the tree sides. the 2 shadow sides are 12 and 20 so 12/20 is the ratio. one tree side is 15 and we will say the other is x so their ratio is 15/x.

since.the 2 ratios are equal we can say:
12/20 = 15/x
12x = 300
x = 25.

so the tree is 25m tall

Mx = Nx - Pt isolate x

Answers

Mx = Nx - Pt

To isolate 'x', we have to group all terms that have 'x' together 
We have Mx on the left-hand side of the equation and Nx on the right.
Moving Nx to the left-hand side of the equation, we have:

Mx - Nx = Pt

From here we factorize 'x'

x (M - N) = Pt

Then we divide both sides by (M-N)

[tex]x= \frac{M-N}{Pt} [/tex]

How many liters of a 25 percent saline solution must be added to 3 liters of a 10 percent saline solution to obtain a 15 percent saline solution?

Answers

Assume we need to add x litters.

So we are going to mix x liters (25% saline) and and 3 liters (10% saline).

In total we are going to have a x+3 litters (of 15% saline).



a. of the x liters, 25/100x=0.25x is saline. so we have 0.25x liters saline.

b. of the 3 liters, (10/100)*3=0.1*3=0.3 liters is saline.


c. of the x+3 liters, (15/100)(x+3)=0.15(x+3)=0.15x + 0.45 liters is saline


equalize:

0.25x + 0.3 = 0.15x + 0.45

0.25x - 0.15x = 0.45 - 0.3

0.1 x =0.15

x=0.15/0.1= 1.5  (liters)


Answer: 1.5 liters

Final answer:

To achieve a 15 percent saline solution by mixing a 10 percent solution with a 25 percent solution, we calculate that we need to add 1.5 liters of the 25 percent saline solution to the initial 3 liters of the 10 percent solution.

Explanation:

To solve the problem, we need to calculate how much of a 25 percent saline solution should be added to 3 liters of a 10 percent saline solution to get a 15 percent saline solution. We'll use the concept of the conservation of mass of the solute (NaCl) and set up an equation to find the required volume of the 25 percent solution.

Let V be the volume of the 25 percent solution we need to add. The amount of NaCl in the 10 percent solution is (0.10)(3 L), and the amount of NaCl in the 25 percent solution is (0.25)(V). The resulting solution has a concentration of 15 percent, so the amount of NaCl in the final solution will be (0.15)(3 L + V).

Now we set up our equation based on the mass of NaCl being equal before and after the addition of the 25 percent solution:

(0.10)(3 L) + (0.25)(V) = (0.15)(3 L + V)

Solving this equation:

0.30 + 0.25V = 0.45 + 0.15V

0.25V - 0.15V = 0.45 - 0.30

0.10V = 0.15

V = 0.15 / 0.10

V = 1.5 L

Therefore, 1.5 liters of a 25 percent saline solution must be added to the initial 3 liters of a 10 percent solution to obtain a 15 percent saline solution.

A collection of quarters and nickels contains at least 42 coins and is worth at most $8.00. If the collection contains 25 quarters, how many nickels can be in the collection?

Answers

The total number of nickels that can be collected is 17 and this can be determined by forming the inequality.

Given :

A collection of quarters and nickels contains at least 42 coins and is worth at most $8.00.

The inequality can be formed in order to determine the total number of nickels that can be collected.

Let the total number of quarters be 'x' and the total number of nickels be 'y'. Then the inequality that represents the total number of quarters and nickels contained in the collection is at least 42 is given by:

x + y [tex]\geq[/tex] 42  --- (1)

The inequality that represents that the worth of the coins is at most $8 is given by:

0.25x + 0.5y [tex]\leq[/tex] 8   --- (2)

Now, according to the given data there are a total of 25 quarters in the collection, so, the number of nickels contained in the collection is:

x + y [tex]\geq[/tex] 42

25 + y [tex]\geq[/tex] 42

y [tex]\geq[/tex] 17

So, the total number of nickels that can be collected is 17.

For more information, refer to the link given below:

https://brainly.com/question/25140435

Final answer:

The collection can contain up to 35 nickels, given that it already includes 25 quarters and the total value does not exceed $8.00.

Explanation:

To determine how many nickels can be in the collection, we must first calculate the total value of the 25 quarters. Since each quarter is worth 25 cents, we multiply 25 quarters by 25 cents to get 625 cents, which is $6.25. The maximum value of the entire collection is $8.00. Thus, we subtract $6.25 from $8.00 to find the remaining value that can be occupied by nickels, which is $1.75. Each nickel is worth 5 cents, so we divide $1.75 by 0.05 (5 cents) to find the maximum number of nickels. $1.75 divided by 0.05 equals 35. Therefore, the collection can contain up to 35 nickels.

Simplify this problem please

Answers

First work out the parenthesis:

9x⁴y⁴ / 3y²

Then get rid of the denominator using 9/3=3 and y⁴/y² = y²

3x⁴y² is the simplest form.

Which situation involves descriptive statistics?
A) The food cans have a mean shelf life of 14 months.
B) The study estimates that 10% of the fish died as a result of the drought.
C) According to a poll, about 12% of our customers have returned at least one item. D) The sample indicates that the mean weight of all the boxes is 3.3 kg.

Answers

the answer:
The descriptive Statistics are used to introduce quantitative depictions in a sensible shape. In an examination contemplate we may have several number of measures. Or, then again we may quantify countless on any measure. Clear measurements with descriptive statistics help us to simplify a lot of information sensible manner.
so the answers are 
A) The food cans have a mean shelf life of 14 months. 
D) The sample indicates that the mean weight of all the boxes is 3.3 kg.

Answer:

The correct answer is:


A) The food cans have a mean shelf life of 14 months.


Just took this quiz and this was the correct answer.

Step-by-step explanation:


The graph below shows the value of Edna's profits f(t), in dollars, after t months:

graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0, vertex at 12, negative 36, and passes through point 21, 41.25

What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?

a. Three dollars per month

b. Nine dollars per month

c. 13.75 dollars per month

d. 41.25 dollars per month

Answers

The easiest way to find the average rate of change is with the formula:
( y 2 - y 1 ) / ( x 2 - x 1 )
We have to find the average rate of change from the 18th month to the 21st month. So: y2 = 41.25, y 1 = 0,  x 2 = 21, x 1 = 18;
( 41.25 - 0 ) / ( 21 - 18 ) = 41.25 / 3 = 13.75
Answer:
c. 13.75 dollars per month.

Answer:

C) 13.75 dollars per month

Step-by-step explanation:

i took the test and got it right

what is the circumference of a circle with a radius of 39

Answers

The circumference would be 78 pi.

The formula for finding circumference is C = 2[tex] \pi [/tex]r

[tex]C = 2 \pi r C = 2 \pi 39 C = 78 \pi [/tex]


Justin is a software salesman. his base salary is $1500 , and he makes an additional $40 for every copy of english is fun he sells. let p represent his total pay (in dollars), and let n represent the number of copies of english is fun he sells. write an equation relating p to n . then use this equation to find his total pay if he sells 23 copies of english is fun.

Answers

P = total pay
n = number of copies

P = 1,500 + 40n

Therefore, if Justin sells 23 copies, his total pay will be:

P = 1,500 + 40(23)

P = $2,420

Prove abcd is a parallelogram

Answers

AD and BC slant while AB and DC are parallel

Since both pairs of opposite sides of quadrilateral ABCD are parallel and equal, by definition, ABCD is a parallelogram.

Given that in quadrilateral ABCD, side AD is equal to side BC (AD = BC) and side AD is parallel to side BC (AD || BC), we can use these properties to prove that ABCD is a parallelogram.

Here is a step-by-step proof:

1. Definition of a parallelogram: A quadrilateral is a parallelogram if both pairs of opposite sides are parallel.

2. Given: AD = BC (opposite sides are equal) and AD || BC (opposite sides are parallel).

3. To Prove: AB || CD and AB = CD (the other pair of opposite sides are also parallel and equal).

4. Proof:

   - Since AD = BC and AD || BC, we have one pair of opposite sides that are equal and parallel.

   - In a quadrilateral, if one pair of opposite sides is equal and parallel, the quadrilateral is a parallelogram (This is a theorem in Euclidean geometry).

   - Therefore, AB must be parallel to CD (AB || CD) because the opposite sides of a parallelogram are parallel by definition.

   - Also, in a parallelogram, opposite sides are equal (another property of parallelograms), so we can conclude that AB = CD.

5. **Conclusion**: Since both pairs of opposite sides of quadrilateral ABCD are parallel and equal, by definition, ABCD is a parallelogram.

This logical sequence uses the properties of parallelograms and the given information to prove that ABCD must be a parallelogram.

The mean is defined as the

Answers

It is defined as the average of the data.
average of the set of numbers. In order to find the mean, add up all the numbers, and divide the sum of all the numbers by the number of numbers there are.
hope this helps:)

NEED HELP PLEASE!!!!
The diameter of a hydrogen atom is about 5×10^-15 meter. Suppose 8.4×10^8 hydrogen atoms were arranged side by side in a straight line. Multiply these numbers to find the length of this line of atoms. What is the length in scientific notation?

Select one:

a. 4.2×10^−2 meter
b. 0.042 meter
c. 42×10^−3 meter
d. 4.2×10^−3meter

Answers

Answer:

I'm a few years late, lol, but um the answer is 42 x [tex]10^{-3}[/tex] meters

For all the people who still need the answer.

Step-by-step explanation:

5 x [tex]10^{-11}[/tex] and 8.4 x [tex]10^{8}[/tex]

5 x 8.4 = 42  (multiply like terms)

[tex]10^{-11}[/tex] + [tex]10^{8}[/tex] = [tex]10^{-3}[/tex]  (add the exponents)

42 x [tex]10^{-3}[/tex]

The length in scientific notation is [tex]42\times10^{-7[/tex] meter.

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].

Given that, the diameter of a hydrogen atom is about [tex]5\times10^{-15}[/tex] meter. Suppose 8.4×10⁸ hydrogen atoms were arranged side by side in a straight line.

Now, multiply the numbers

[tex]5\times10^{-15}[/tex]×8.4×10⁸

= [tex]42\times10^{-7[/tex] meter

Therefore, the length in scientific notation is [tex]42\times10^{-7[/tex] meter.

To learn more about the Scientific notation visit:

https://brainly.com/question/18073768.

#SPJ2

Write the standard form of the line that has a slope of - and y-intercept of -2. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

You need to go from slope-intercept ([tex]y=mx+b[/tex]) to standard form ([tex]ax + by = c[/tex]).    

slope-intercept form of your provided values:  
[tex]y=-x-2[/tex]  
now, solve for x and y  
[tex]x+y=-2[/tex]  
  
Your answer is [tex]x+y=-2[/tex].
slpe intercept form is 
y = mx + b  where m=slope and b = y-intercept

so here we have
y = -x - 2

standard form is x + y = -2

Find the GCF. 18x 3 and 30x 5

A.
6x 5

B.
90x 3

C.
6x 3

D.
90x 5

Answers

18x^3 and 30x^5

To find the GCF, first look at ur coefficients....The GCF of ur coefficients (18 and 30) is 6

now look at ur variables....pick the one with the lowest exponent...that would be x^3

so the GCF of these 2 terms is : 6x^3

If tan x° = 11 divided by r and cos x° = r divided by s, what is the value of sin x°?

Answers

[tex]\bf sin(\theta)=\cfrac{opposite}{hypotenuse} \qquad cos(\theta)=\cfrac{adjacent}{hypotenuse} \quad % tangent tan(\theta)=\cfrac{opposite}{adjacent}\\\\ -------------------------------\\\\ tan(x^o)=\cfrac{11}{r}\cfrac{\leftarrow opp}{\leftarrow adj}\qquad cos(x^o)=\cfrac{r}{s}\cfrac{\leftarrow adj}{\leftarrow hyp}\\\\\\ \boxed{sin(x^o)=\cfrac{11}{s}\cfrac{\leftarrow opp}{\leftarrow hyp}}[/tex]

Answer:

[tex]sin x = \frac{11}{s}[/tex]

Step-by-step explanation:

[tex]Tan x = \frac{11}{r}[/tex]

[tex]Cos x = \frac{r}{s}[/tex]

Property : [tex]\frac{sin \theta}{cos \theta}=Tan \theta[/tex]

So, [tex]\frac{sinx}{cosx}=Tan x[/tex]

Substitute the values

[tex]\frac{sinx}{ \frac{r}{s}}=\frac{11}{r}[/tex]

[tex]sinx =\frac{11}{r} \times \frac{r}{s}[/tex]

[tex]sinx =\frac{11}{s}[/tex]

Hence the value of sin x° is [tex]\frac{11}{s}[/tex]

Identify the reflection of the figure with vertices

Answers

reflection across the x-axis:
the x coordinate will stay the same but y coordinate will change sign 

for example ( 2, -4)  will reflect to 2 , 4)

Check out option B

For the graph y= 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your answer with two or more sentences

Answers

It is a horizontal line on 1

Answer:

Parallel: [tex]m = 0[/tex] (Horizontal), Perpendicular: [tex]m = -\frac{1}{0}[/tex] (Vertical)

Step-by-step explanation:

The equation y = 1 is an horizontal straight line ([tex]y = 0\cdot x + 1[/tex]). The slope of a line parallel to it is [tex]m = 0[/tex]. The slope of line perpendicular to it is [tex]m = -\frac{1}{0}[/tex], since slope is represented by tangent function, which is undefined at [tex]\theta = \pm 0.5\pi[/tex].

geometry help! this is my 2nd to last question

Answers

A square since all sides are equal and the angles aren't acute so it can't be a rhombus
Hi.
Your answer would be d. square. Rhombus have actute angles, squares have right angles. It's clearly not a rectangle (as the sides are all the same) so it has to be square.

I hope I helped and if you need more you could always ask me :)

-Dawn

A librarian randomly selects 25 returned books one day and finds that three of them were returned late. based on this sample, how many of the 410 returned books that day are likely to be late returns?

Answers

[tex]\dfrac{3}{25}=\dfrac{x}{410}\\ 25x=1230\\ x\approx49[/tex]

Approx. 49 books.

If 1,000 students take a test that has a mean of 40 minutes, a standard deviation of 8 minutes, and is normally distributed, how many would you expect would finish in less than 40 minutes?

Answers

Answer:

500

Step-by-step explanation:

It is expected that approximately 500 students would finish the test in less than 40 minutes.

To determine the number of students who would be expected to finish the test in less than 40 minutes, we can use the concept of the standard normal distribution and the z-score.

The z-score measures the number of standard deviations an individual data point is from the mean. In this case, we want to find the proportion of students who finish the test in less than 40 minutes, which corresponds to finding the area under the curve to the left of the mean.

Using the z-score formula:

z = (x - μ) / σ

where x is the value (40 minutes), μ is the mean (40 minutes), and σ is the standard deviation (8 minutes).

Substituting the values into the formula:

z = (40 - 40) / 8

z = 0

A z-score of 0 indicates that the value is exactly at the mean.

Since we are interested in the proportion of students finishing in less than 40 minutes, we need to find the area under the curve to the left of the mean, which is represented by a z-score of 0.

By referring to a standard normal distribution table or using a statistical software, we find that the proportion of students finishing in less than 40 minutes is approximately 0.5000.

To find the expected number of students, we multiply the proportion by the total number of students:

Expected number of students = 0.5000 * 1000 = 500

To learn more about normally distributed click on,

https://brainly.com/question/15415528

#SPJ2


To which graph does the point (2, 4) belong?

y ≥ x + 3
y ≥ −x + 8
y ≥ 4x − 5
y ≥ −2x + 9

Answers

(2,4) belongs to the graph y is greater than or equal to 4x - 5

Answer:

Option (3) is correct.

(2,4) belongs to y ≥ 4x - 5

Step-by-step explanation:

Given : the point (2,4)

We have to find the equation of graph to which the point (2,4) belongs.

We will substitute the point in the  each given equation and for which the point satisfies will contain the point.

For 1) y ≥ x + 3

Put x = 2 and y = 4

⇒ 4 ≥ 2 + 3

⇒  4 ≥ 5 (false)

For 2) y ≥ -x + 8

Put x = 2 and y = 4

⇒  4 ≥ -2 + 8

⇒  4 ≥ 6 (false)

For 3) y ≥ 4x - 5

Put x = 2 and y = 4

⇒  4 ≥ 4(2) - 5 = 8 - 5

⇒  4 ≥ 3 (true)

For 4) y ≥ -2x + 9

Put x = 2 and y = 4

⇒  4 ≥ -4 + 9

⇒  4 ≥ 5 (false)

Since, the point (2,4) satisfies only inequality y ≥ 4x - 5.

Thus, (2,4) belongs to y ≥ 4x - 5

What price do farmers get for the peach crops? in the third week of June, a random sample of 40 farming regions gave a sample mean of $6.88 per basket. assume that the standard deviation is known to be $1.92 per basket. find a 90% confidence interval for the population mean price per basket that farmers in this region get for their peach crop.

Answers

Given:
n = 40, sample size
xb = $6.88, sample mean
σ = $1.92, population standard deviation

At 90% confidence interval, the expected range is 
[tex](xb - 1.645 \frac{ \sigma }{ \sqrt{n}} ,\, xb + 1.645 \frac{ \sigma }{ \sqrt{n} } )[/tex]
= [ 6.88 - 1.645*(1.92/√40), 6.88 + 1.645*(1.92/√40)]
= (6.38, 7.38)

Answer:
The 90% confidence interval is ($6.38, $7.38)

True or False
The geometric mean of 8 and 2 is 4.

Answers

TRUE IVE GOT IT WRONG  ON MY ASSIGNMENT.

Answer:

True

Step-by-step explanation:

To find the geometric men you have to cross multiply the two given numbers and then find x squared for those numbers. So to find x squared you have to find the square root of the product from the two multiplied numbers.

8/x = x/2

8*2 = 16 = x squared

x= square root of 16 which equals 4

Other Questions
What is the relationship between current and voltage in the filament of an incandescent light bulb? Which poetic structure did Whitman use to write Beat! Beat! Drums!? A.allegoryB.quatrainC.carpe diemD.blank verse Baroque rhythm is question 47 options:a.variable and expressive.b.highly syncopated.c.not very noticeable.d.steady and consistent. Which of the following is not a characteristic of major depressive disorder? A. Loss of appetite B. Little interest in activities once enjoyed C. Sleeplessness D. Chest tightnessWhich disorder is a mild yet chronic form of depression? A. Major depressive disorder B. Bipolar disorder C. Dysthymic disorder D. Post-traumatic stress disorderAlisa reports she cannot come home after dark if her mom leaves the porch light on. When asked why, she stated that the light attracts the frogs and she feels like she cannot breathe when she sees these frogs. A. Obsessive-compulsive disorder B. Phobia disorder C. Generalized Anxiety disorder D. Panic DisorderQuinn reports he has no control over his life. He states he wants to go into the army, but he is stressed out over passing English. He knows that he needs a high school diploma in order to enlist but fears that he will not graduate. He stated that he cannot possibly face another recruiter right now. Quinn has A. Bipolar Disorder B. Generalized Anxiety Disorder C. Obsessive-Compulsive Disorder D. Major Depressive DisorderJane feels energetic and rearranges her furniture at two o'clock in the morning. She runs up and down the stairs, and her mind races with random thoughts. If Jane is diagnosed with bipolar disorder, predict what will happen after she experiences this mania. Jane will experience long term euphoria.Jane will experience long term insomnia.Jane will crash into a state of exhaustion.Jane will crash into a low depression.Leonard is constantly being bullied at school. He has become more withdrawn and gets agitated when questioned about his behavior. He has started to have nightmares about the school hallways. Leonard has obsessive-compulsive disordergeneralized anxiety disorderpost-traumatic stress disorderpanic disorderWalter reports he is feeling like he has no reason to live. He reports "everyone" thinks he is ugly and he agrees. He states he cannot do anything right. Walter has bipolar disorder generalized anxiety disorder post-traumatic stress disorder major depressive disorderPlease Answer these questions ASAP Thank you He solubility of ba(no3)2is 130.5 grams per liter at 0c. how many moles of dissolved salt are present in 4.0 liters of a saturated solution of ba(no3)2at 0c What is Choana Atresia? STVU is an isosceles trapezoid. If SV= 3x - 11 and TU = x + 13, find the value of x. According to the code Babylonian Society was structured around what Simplify 1/x-10 divided by 9x/x^2-9x-10 what is the sum of -7/10 + 1/4 Lou has 3 over 4 of an hour to do his math homework, play video games and help with dinner. If he splits his time equally between the three activities, how much time will he spend on each?_____ of an hour Select each quadrilateral that has exactly four right angles. trapezoid isosceles trapezoid parallelogram rhombus rectangle Who tells the story and how it is told are known as theme. first person. point of view. imagery. Assume initially the economy is at full employment. if aggregate demand increases, the aggregate price level and costs will ______, and ultimately, the short run aggregate supply curve shifts to the _______. You are a member of a darts team and they have won $1750 prize money in a competition. $70 is to be saved for a celebration party; the remainder is to be divided equally between the 14 team members a romantic poem will mostly likely feature a a) city or urban setting b)formulated argumentc)lack of emotion d)natural setting The friar dissuades juliet from committing suicide by giving her what instead? What evidence suggests that Earth attracts or pulls on objects? Carlita works with patients in a healthcare facility. She is overwhelmed with the weeks tasks and cant seem to figure out what to do first. Further, she finds herself picking up the slack for tasks she is not even responsible for. It gets worse; the credit card machine has been broken for a few days, leaving Carlita manually filling out credit card forms for patients. She realizes that between the credit card forms, the additional tasks and getting behind, she has incorrectly filled a prescription and made an error inputting data. She becomes overwhelmed with emotions.Carlita stops herself from barging into her supervisors office to vent about her frustrations as she realizes that nothing good could from it. Instead, she takes her break a few minutes early, steps outside for some fresh air to calm down and get to the root of her problems before confronting her supervisor. Carlita eventually sits down with her supervisor and the two come up with ideas to resolve her problems.Discussion Prompt:What series of events lead to Carlitas mistake?What suggestions could you give her?What challenges are you experiencing that can relate to Carlitas experience?Respond to your classmates post about the challenges they are facing.Encourage them by sharing how you believe the challenge can turn into learning opportunities?Be positive in your feedback and offer additional advice about strategies you believe will help. What is the only way to let your body recover from overtraining? Steam Workshop Downloader