The amount of water consumed per week by Montana residences is normally distributed with an unknown mean and a standard deviation of 10 gallons. A simple random sample of ten residences has a mean value of gallons. The city of Bozeman claim that the average water consumed in the state of Montana is not 125 gallons. (a) State the null and alternative hypothesis.

The Amount Of Water Consumed Per Week By Montana Residences Is Normally Distributed With An Unknown Mean

Answers

Answer 1

The null hypothesis, denoted by H0, represents the status quo or the default assumption. In this case, the null hypothesis is that the average water consumption in Montana residences is 125 gallons per week.

The alternative hypothesis, denoted by Ha, is the hypothesis that the researcher is trying to prove. In this case, the alternative hypothesis is that the average water consumption in Montana residences is not equal to 125 gallons per week.

So, the null and alternative hypotheses for this problem are:

H0: μ = 125 (where μ is the population mean water consumption in Montana residences)

Ha: μ ≠ 125 (where μ is the population mean water consumption in Montana residences)

Note that the alternative hypothesis is a two-tailed hypothesis since we are testing whether the population mean is not equal to 125, which could mean it is either greater or less than 125.


Related Questions

F
G
9x-7
E
17x-2
Solve for x

Answers

The solution for x in the circle is x = 12

How to solve for the value of x in the circle?

Since the measure of angle EFG is m∠EFG = 9x-7 and the measure of arc GE is 17x-2

We can determine the value of x using the inscribed angle theorem.

Thus, we have:

m∠EFG = 1/2 (arc GE)

9x-7  = 1/2 * (17x-2)

2(9x-7) = 17x - 2

18x - 14 = 17x - 2

18x - 17x = -2 + 14

x = 12

Learn more about inscribed angle theorem on:

https://brainly.com/question/13701908

#SPJ1

I will give you brainy
A landscaper needs 3 1/5 pounds of fertilizer. He has 1 3/10 pounds in his truck, and another 1/5 pound at his shop.


How many more pounds of fertilizer does the landscaper need?


Enter your answer as a mixed number in simplest form by filling in the boxes.


help pleases

Answers

Answer:

1

Step-by-step explanation:

12

Select all of the ways to describe the number 182.

Answer choices
A rational number
B integer
C whole number
D none of these are correct

Answers

Answer:

A , B and C

Step-by-step explanation:

182 is a rational number as it can be written in p/q form. (182/1)

182 is a positive integer.   {Integers:   ........ -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 .......}

182 is a whole number. {0, 1 , 2 , 3 ,...............}


Evaluate. x =2 and y=-1
Can someone help please,I also need explanation of not much to ask

Answers

Answer:

= 16.

Step-by-step explanation:

x= 2

y = -1

[tex] {(2xy)}^{2} \\ = {(2(2)( - 1)) \\ }^{2} \\ = {(2( - 2)) \\ }^{2} \\ = {( - 4)}^{2} \\ = - 4 \times - 4 \\ = 16[/tex]

If the numerator of a fraction is multiplied by 4 and the denominator is reduced by 2,the result is 4 . If the numerator of the fraction is increased by 15 and 2 subtracted from the double of the denominator, the result is 5/4. Find the fraction.​

Answers

The fraction is given as follows:

8.3/10.3.

How to obtain the fraction?

The fraction is modeled as follows:

x/y.

In which:

x is the numerator.y is the denominator.

From the features of the problem, a system of equations is built to identify the variables.

If the numerator of a fraction is multiplied by 4 and the denominator is reduced by 2,the result is 4, hence the first equation is of:

4x/(y - 2) = 4.

Hence:

4x = 4(y - 2)

4x = 4y - 8

x = y - 2.

If the numerator of the fraction is increased by 15 and 2 subtracted from the double of the denominator, the result is 5/4, hence the second equation is of:

(x + 15)/(2y - 2) = 5/4.

We know that x = y - 2, hence the value of y is obtained as follows:

(y + 13)/(2y - 2) = 5/4.

5(2y - 2) = 4(y + 13)

10y - 10 = 4y + 52

6y = 62

y = 62/6

y = 10.3.

Then the value of x is of:

x = y - 2

x = 10.3 - 2

x = 8.3.

Hence the fraction is:

8.3/10.3.

More can be learned about a system of equations at https://brainly.com/question/30862958

#SPJ1

what are the minimum and maximum side lengths to complete a triangle with two side lengths of 18 cm and 21 cm

Answers

The minimum and maximum side lengths to complete a triangle with two side lengths of 18 cm and 21 cm are 3 cm and 39 cm, respectively.

What is triangle?

A triangle is a closed two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is formed by connecting three non-collinear points. The three sides and three angles of a triangle are interconnected by various geometrical principles and formulas, such as the Pythagorean theorem, trigonometric ratios, and the Law of Cosines. Triangles are commonly classified based on their side lengths and angles, including equilateral, isosceles, scalene, acute, right, and obtuse triangles. Triangles are also used in various real-life applications, such as in architecture, engineering, and physics.

According to given information :

To complete a triangle with side lengths 18 cm and 21 cm, the length of the third side must be such that it satisfies the triangle inequality. The triangle inequality states that the sum of any two sides of a triangle must be greater than the third side.

Let x be the length of the third side. Then we have:

18 + 21 > x

18 + x > 21

21 + x > 18

Simplifying each inequality, we get:

x < 39

x > 3

x > -3 (since length cannot be negative)

The minimum value of x is 3 cm (when the two sides form a degenerate triangle), and the maximum value of x is 39 cm (when the three sides form an equilateral triangle). Therefore, the minimum and maximum side lengths to complete a triangle with two side lengths of 18 cm and 21 cm are 3 cm and 39 cm, respectively.

To know more about triangle visit :

https://brainly.com/question/1058720

#SPJ1

Scenario: It cost $5 to Roller Skate for 2 hours at Empire Roller Skating ring.

Identify the cost per hour for this recreational activity in the scenario

(Unit Rate)

Answers

The cost per hour for this recreational activity in the scenario which is also the unit rate is $2.5 per hour.

What is the cost per hour for the recreational activity?

Number of hours= 2 hours

Total cost to roller skate = $5

Cost per hour of recreational activity= Total cost to roller skate / Number of hours

= $5 / 2 hours

= $2.5 per hour

In conclusion, it costs $2.5 per hour to roller skate.

Read more on unit rate:

https://brainly.com/question/19493296

#SPJ1

Priovde the missing reasons for the proof

Answers

The missing reason is ∠ ABC ≅ ∠ DBE by vertically opposite angles postulate and Δ ABC ~ Δ  DBE by AA rule.

What are vertically opposite angles?

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other. These are sometimes called vertical angles.

Given that, ∠ C ≅ ∠ E, and we need to find a reason to prove Δ ABC ~ Δ  DBE,

As we know that, to prove two triangles similar we can show two corresponding angles congruent in them, then they will be similar by AA rule,

Here, we already have, ∠ C ≅ ∠ E, we need one more,

If we see the figure, we get ∠ ABC and ∠ DBE are vertically opposite angles

We know that, Vertically opposite angles are equal to each other.

Therefore, ∠ ABC ≅ ∠ DBE

Hence, the missing reason is ∠ ABC ≅ ∠ DBE by vertically opposite angles postulate and Δ ABC ~ Δ  DBE by AA rule.

Learn more about Vertically opposite angles, click;

https://brainly.com/question/18045519

#SPJ1

Ryan wants to take out a $520,000 loan with an APR of 4.15% for 20 years. He purchased a discount point for 1% of his principal that will decrease his APR by 0.125%. If Ryan purchases 3 points, after how many months will he break even?​

Answers

Answer:

It will take Ryan 59.6 years to break even on his purchase of 3 discount points (1% each) for a $520,000 loan with an APR of 4.15%. This break-even point was calculated by finding the difference in monthly payments between the loan with and without the discount points, and dividing the cost of the points by that difference.

Need answer now! Please and thank you !!

Answers

Answer: A sorry if i got it wrong

Step-by-step explanation:

In 2010, the population of a city was 88,000. From 2010 to 2015, the population grew by 4%. From 2015 to 2020, it fell by 3%. To the nearest 100 people, what was the population in 2020?

Answers

The population in 2020 is 2,240,700

What is population?

A population is the set of people concentrated in a particular area.

Given that, in 2010, the population of a city was 88,000, from 2010 to 2015, the population grew by 4%. From 2015 to 2020, it fell by 3%. We need to determine the population in 2020,

For population growing we will multiply the population is 104 and for population reducing we will multiply by 97,

Therefore, the population in 2020 =

88000 × 5(104/100) × 5(97/100)

= 88000 × 5.25 × 4.85

= 2,240,700

Hence, the population in 2020 is 2,240,700

Learn more about population, click;

https://brainly.com/question/18415071

#SPJ9

If one object has twice as much mass as another object it also has twice as much.

Answers

If one object has twice as much mass as another object it also has twice as much Inertia.

Let the mass of object A= m₁

mass of object B = m₂

Given that m₁ = 2m₂

Speed, velocity and acceleration are subject to motion of the object. Given the insufficiency of information in the question, nothing can be said about these.

This is basically Newton's first law of motion, this law states that, every object continues in a state of rest of uniform motion in a straight line, unless acted upon by an external force

On the other hand, inertia is directly dependent on the mass. Hence, inertia of object A would be twice the inertia of object B.

To know more about mass

https://brainly.com/question/12496885

#SPJ4

.please help!!!!!!!!​

Answers

Answer:

226.19 cubic units

Step-by-step explanation:

radius = r = 6 units

height = h = 6 units.

To find the volume of resulting solid, subtract the volume of cone from the volume of hemisphere.

Volume of the resulting solid = Volume of hemisphere - volume of cone

                                                [tex]\sf \bf = \dfrac{2}{3}\pi r^3 - \dfrac{1}{3}\pi r^2h\\\\\\=\dfrac{2}{3}*3.14*6*6*6 - \dfrac{1}{3}*3.14*6*6*6\\\\\\=(3.14*6*6*6)(\dfrac{2}{3}-\dfrac{1}{3})\\\\=3.14*6*6*6**\dfrac{1}{3}\\\\=3.14*6*6*2\\\\=226.19 \ cubic \ units[/tex]

                         

Question 3 3.1.1. Express the following as single trigonometry ratio: 3.1.1. Cos2x · Cos3x - Sinax. Sin3x 2 B12. Sinzx Cosx+Cosex Sinx 3.2. Determine the value of the following without using a calcula 3.2.1. Sın 85° Cos25°- Cos 85°. Sin 25° 322 Cos 160°. Cos10° + Sin160°. Sin 10° 44 ​

Answers

Using trigonometric identity, the value of the expressions are (Cosx + Cos5x)/2 + Sin3x.Cosx, √3/2, √3/2 and -√3/2

What is the expression of the trigonometric identity

To solve this problem, we need to apply trigonometric identity;

1.

Cos2x · Cos3x - Sinax. Sin3x:

Using the identity Cos(A - B) = CosA.CosB + SinA.SinB, we can write:

Cos2x · Cos3x = (Cos(2x - 3x) + Cos(2x + 3x))/2 = (Cos(-x) + Cos(5x))/2 = (Cosx + Cos5x)/2

So the expression becomes:

(Cosx + Cos5x)/2 - Sinax. Sin3x

Using the identity Sin(A - B) = SinA.CosB - CosA.SinB, we can write:

Sinax. Sin3x = (Sin(ax - 3x) - Sin(ax + 3x))/2 = (Sin(-2x) - Sin(4x))/2 = (-Sin2x - Sin4x)/2

So the expression becomes:

(Cosx + Cos5x)/2 + (Sin2x + Sin4x)/2

Using the identity SinA + SinB = 2.Sin((A+B)/2).Cos((A-B)/2), we get:

(Sin2x + Sin4x)/2 = Sin3x.Cosx

Therefore, the expression simplifies to:

(Cosx + Cos5x)/2 + Sin3x.Cosx

2.

Sinzx Cosx+Cosex Sinx:

Using the identity Sin(A + B) = SinA.CosB + CosA.SinB, we can write:

Sinzx Cosx+Cosex Sinx = Sin(x + z)

So the expression is equivalent to Sin(x + z).

3.

Sın 85° Cos25°- Cos 85°. Sin 25°:

We can use the identity Sin(A - B) = SinA.CosB - CosA.SinB:

Sin 85° Cos25°- Cos 85°. Sin 25° = Sin(85° - 25°) = Sin60° = √3/2

4.

Cos 160°. Cos10° + Sin160°. Sin10°:

We can use the identity Cos(A - B) = CosA.CosB + SinA.SinB:

Cos 160°. Cos10° + Sin160°. Sin10° = Cos(160° - 10°) = Cos150° = -√3/2

Learn more on trigonometric identity here;

https://brainly.com/question/24496175

#SPJ1

Lynn is making a snack. The recipes call for 38
cup of water for oats and 14
cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain.

Answers

Answer:

The last choice

Step-by-step explanation:

Since 3/8 is smaller than 1/2(=4/8) and 1/4 is also smaller than 1/2(=2/4), she has enough water to make her snacks.

I hope this makes sense to you. I am generally good with following up with additional questions. Feel free to leave a comment if you have any questions or you can also message me as well!

7. The ratio of dahlias to sunflowers is the same in all of the
flower arrangements at a banquet.
A. MTR Use Structure Complete the double number line to
show the ratios of dahlias to sunflowers in all the flower
arrangements at the banquet.
12
Dahlias 0
4
Sunflowers 0
8
16
6
a
15 18
B. How many dahlias will there be when there are 33 sunflowers?
C. What is the ratio of dahlias to all flowers when there are 21 total
flowers?
D. What is the ratio of sunflowers to all flowers in a bouquet with
70 total flowers?
20 24
12
21
32
8 dahlias
24
6 sunflo

Answers

7A) The completion of the number line, based on the ratio of Dahlias to Sunflowers, is as follows:

Dahilas            0     4     8     12     16     10     24    28    32

Sunflowers      0     3     6      9     12     15      18    21     24

7B) When there are 33 sunflowers, there will be 44 Dahlias.

7C) The ratio of Dahlias to all flowers when there are 21 total flowers is 0.57:1 or 12:21.

7D) The ratio of Sunflowers to all flowers in a bouquet with 70 total flowers is 0.43:1 or 3:7.

What is the ratio?

The ratio is the relative size of one value compared to another.

The ratio is determined as the quotient or average of two relative values.

The number of Dahlias = 8

The number of Sunflowers = 6

Ratio of Dahlias to Sunflowers = 1.33:1 (8:6)

Ratio of Sunflowers to Dahlias = 0.75: 1 (6:8)

The sum of ratios = 14 (8 + 6)

B) When there are 33 sunflowers, there will be 44 Dahlias (33/0.75).

C) The ratio of Dahlias to all flowers:

The total flowers = 21

Dahlias = 12 (21 x 8/14)

The Ratio of Dahlias to all flowers = 12:21 = 0.57:1

The ratio of dahlias to Sunflowers = 12:9

D) The ratio of Sunflowers to all flowers:

The total flowers = 70

Sunflowers = 30 (70 x 6/14)

The ratio of Sunflowers to all flowers = 30:70 = 0.43:1

Ratio of sunflowers to dahlias = 30:40 = 3:4

Learn more about ratios at https://brainly.com/question/12024093.

#SPJ1

Find the length of BC.
Give your answer to 1 decimal place.

Answers

the length of BC is 11.9 cm.

What is right-angle triangle?

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given a right triangle ABC with hypotenuse AC and the foot angle of 58-degree.

Using the sine ratio in the right triangle

sin58° = (Opposite side)/(hypotenuse)

In our case,

opposite side = height

opposite side = BC

hypotenuse = AC

hypotenuse = 14(given)

So,

Multiply both sides by 14

14 × sin58° = BC, thus

BC ≈ 11.9 cm

Therefore, the height of the given right angle triangle will be 11.9 cm(Approx.).

Learn more about right-angle triangle here:

https://brainly.com/question/3770177

#SPJ9

Complete question:

How many times is 7 a factor in 2023!

Answers

Answer:

The Prime Factors and Pair Factors of 2023 are 7 × 17 and (1, 2023), (7, 289), (17, 119) respectively.

Answer:

To determine how many times 7 is a factor in 2023:

1. Divide 2023 by 7 to obtain the quotient: 2023/7 = 288.571.

2. If the result of the division is a whole number, 7 is a factor in 2023.

3. Round down 288.571 to obtain the integer 288.

4. Since the result of the division is a whole number, 7 is a factor in 2023 and occurs 1 time.

types as many equations ​

Answers

basically draw 1 linear line with domain constraints for the first two

y = 1/2x + 6 {7<x < 13}

y = 1/2x + 3 {x<7}

the values might have to be tweaked a little as the stars are not exactly on point

Question 15(Multiple Choice Worth 4 points)
(02.04 MC)
What is the equation of the line that is perpendicular to y = 4x + 6 and passes through the point (8,-4)?
Oy=-x-2
Oy=-x+7
Oy=4x-36
Oy = 4x + 24

Answers

An equation of the line that is perpendicular to y = 4x + 6 and passes through the point (8, -4) is y = -x/4 - 2

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

m represents the slope.x and y are the points.

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

4 × m₂ = -1

m₂ = -1/4

At point (8, -4), an equation of the line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-4) = -1/4(x - 8)

y + 4 = -1/4(x - 8)

y = -x/4 + 2 - 4

y = -x/4 - 2

Read more on slope here: brainly.com/question/3493733

#SPJ1

a notebook is 8 inches tall and 10 inches wide what is its area?

Answers

Answer:

i think 18

Step-by-step explanation:

How do I calculate my grade calculator?

Answers

Formula used to calculate the grades to a student is as follows:

F=G−((1−w)×C))/w.

You may determine the grade you need on the final exam to get your desired course grade if you know your present grade and the final test's weight.

The explanation for the given formula, F = Final exam grade

G = Grade you want for the class

w = Weight of the final exam, divided by 100 (put weight in decimal form vs. percentage form)

C = Your current grade.

Being able to keep track of your class grades is a really valuable ability. You may keep track of your progress and see whether you need to work more to achieve the grade you want. In order to figure out how much you need to raise your grade with a point system. Compare that number against the point count for the work you have not yet done. Thus this is the way to calculate grades.

Learn more about grade calculation:

https://brainly.com/question/14853329

#SPJ4

does anyone know how to do this?

Answers

Step-by-step explanation:

Is there more to this question? I feel like the 2021 federal income tax bracket is missing

A chef uses a bowl shaped like the one below to prepare her avocado lime sauce. Due to the amount of mixing involved in this recipe she does not want to fill the bowl up entirely to the top. She estimates she can only fill the bowl up to about 2/3 its capacity. What is the volume of contents the chef will be able to fill the bowl with using her estimation?

Answers

Answer: DON'T COPY AND PASTE!! a-lot of people say they get a plagiarism charge so try to switch or add more words to this but i hope it helps!!!

Step-by-step explanation:

Claim - The volume of the bowl is 715.17

evidence - The hemisphere has a radius of 8

- so its volume is 2/3πr³        r = radius

= 2/3 × π × (8)³

she can fill = 2/3 × 2/3 × 22/7 × (8)³   cm³

= 715.17cm³

reasoning - Therefore according to my calculations The volume will be 715.17 cm³

What is the area and perimeter of semicircle?

Answers

Area of semicircle is (πr²)/2 and perimeter is  (πr) + 2r

The area and perimeter of a semicircle can be calculated using the formulas for the area and circumference of a full circle, and then dividing by 2.

The formula for the area of a full circle is A = πr², where r is the radius of the circle. So the area of a semicircle would be A = (πr²)/2.

The formula for the circumference of a full circle is C = 2πr, where r is the radius of the circle. The perimeter of a semicircle would be half of the circumference, plus the diameter (which is 2r). So the perimeter of a semicircle would be P = (πr) + 2r.

So, to find the area and perimeter of a semicircle, you would need to know the radius of the semicircle, and then plug it into the formulas above.

For example, if the radius of the semicircle is 4, the area would be A = (π(4²))/2 = 8π, and the perimeter would be P = (π(4)) + (2(4)) = 4π + 8.

To know more about circumference click on below link:

https://brainly.com/question/28757341#

#SPJ11

PLEASE HELP WILL GIVE BRAINLIEST

help with this proof please image attached

Answers

Answer:

Step-by-step explanation:

If AB║DC,

∴∡BAC=∡ACD(ALTERNATE  aNGLES)

AB=DC

AC=AC (COMMON SIDE)

∡BAC=∡ACD (PROVED)

∴ ΔABC≡ΔACD(S.A.S)

∴EF=FG

 

Three values of x are in the table. What are the corresponding values of y so that each ordered pair is a solution of the equation y = 0.2x – 2?

x y

Answers

The corresponding values of y so that each ordered pair is a solution of the equation y = 0.2x – 2 is,

Input    (x)    -6        -1       1  

Output (y)     -3.2  -2.2   -1.8

What is the function rule?

Function rule is the rule of writing the relationship between the two variables, one is dependent and another is independent.

The table given in the problem is;

Input    (x)    -6        -1       1  

Output (y)

We have given the equation as;

y = 0.2x – 2

Complete the table using the above function rule;

At (x) equal to -6,

y = 0.2x – 2

y = 0.2(-6) – 2

y = -3.2

At (x) equal to -1,

y = 0.2x – 2

y = 0.2(-1) – 2

y = -2.2

At (x) equal to 1,

y = 0.2x – 2

y = 0.2(1) – 2

y = -1.8

Hence,

Input    (x)    -6        -1       1  

Output (y)     -3.2  -2.2   -1.8

Learn more about the function rule here;

brainly.com/question/1528681

#SPJ1

Answer:

Step-by-step explanation:

Input    (x)    -6        -1       1

Output (y)     -3.2  -2.2   -1.8

The image on a movie poster was shrunk to make the DVD cover art for the movie, so that the cover art is a scale image of the poster. The poster is 72 inches wide, and the DVD cover art is 6 inches wide. If the diagonal of the poster is 8 feet, what is the diagonal of the DVD cover art?
A.
8 inches
B.
24 inches
C.
7 inches
D.
0.67 inch

Answers

The diagonal of the DVD cover art has a length of 8 inches. (Correct choice: A)

How to use scales to find the length of the diagonal of the DVD cover art

In this question we need to estimate the length of the diagonal of the DVD cover art, this can be used by means of scale factor relative to the width of the movie cover. Scales are an useful resource to represent systems at affordable dimensions. By assuming that both DVD cover art and movie cover have similar geometries, we can estimate the diagonal of the DVD cover art by proportion formula:

6 in / 72 in = x / [(8 ft) · (12 in / ft)]

x = (6 in / 72 in) × 96 in

x = 8 in

The length of the diagonal of the DVD cover art is equal to 8 inches.

To learn more on scale factors: https://brainly.com/question/30215119

#SPJ1

solve the system of linear equations by elimination
3x+4y=-1
-2x-5y=10

Answers

Answer:

x = 5

y = -4

Step-by-step explanation:

Solving system of linear equations:

 3x + 4y = -1 -----------(I)

-2x - 5y = 10 -----(II)

Multiply equation (I) by 2 and equation (II) by 3 and then add. Doing so, x will be eliminated, and we can find the value of 'y'.

  (I) * 2           6x + 8y = -2

 (II)* 3            -6x - 15y = 30  {Now add}

                            -7y   = 28

Divide both sides by (-7),

                               y = 28 ÷ (-7)

                               [tex]\boxed{y=(-4)}[/tex]

Plugin y = (-4) in equation (I),

            3x + 4*(-4) = -1

              3x - 16 = -1

                    3x = -1 +16

                     3x = 15

                       x = 15÷3

                        [tex]\boxed{x=5}[/tex]

                                     

find the area of a sector with a central angle of 200 and a diameter of 7.5 cm round to the nearest tenth

Answers

Answer:

need points srry

Step-by-step explanation:

Other Questions
A point charge is released from rest in a region containing an electric field. a) in a direction that makes its potential energy increase b) in a direction that makes its potential energy decrease c) along a path of constant potential energy A composition can be asymmetrically balanced by placing: ___________ A rocket is launched from the top of an 88-foot cliff with an initial velocity of 100 ft/sec. a. Use the vertical motion formula h(t) = -16t2 + vt + c to write an equation that represents the height of the rocket with respect to time. b. Determine how long the rocket will take to hit the ground at the base of the cliff (h = 0) after it is launched. Round to the nearest hundredth of a second. When stimulated by a particular hormone, there is a marked increase in the activity of G proteins in the membrane. The hormone is probablyO a steroidO aldosteroneO testosteroneO estrogenO a peptide Consider a hotel which can supply an unlimited number of hotel rooms at the constant marginal cost c = 20 per room per night, so that the hotels total cost function is given by C(q) = 20q.1 Assume that demand for hotel rooms in Tallahassee takes two possible values: on game days, demand is described by the demand curve q = 100 p, while on non-game-days demand is described by the demand curve q = 60 2p.First suppose that the hotel acts as a price taker.(a) What does it mean for the hotel to act as a price taker? What condition determines a price takers optimal supply decision?(b) Assuming the hotel acts as a price taker, what will be the equilibrium price and quantity sold on game days? What about on non-game-days? (Remember, the hotels marginal cost is constant!)(c) Briefly discuss, without solving, how your results in (b) would change if the hotel instead had increasing marginal costs (say for example MC(q) = qrather than MC = 20). What is the volume of triangular prism? Discuss the costs and benefits of all the nontraditional banking options covered during this unit, including money transfer and payment apps, digital wallets, and e-money management apps. Why would individuals prefer these options over traditional banking? A burn caused by boiling water causes proteins inside your cells to lose their functions. Explain why the high temperature causes this to happen? A.The increased temperature disrupts covalent bonds such as peptide bonds which causes the proteins to lose their primary structures and abilities to catalyze reactions. B.The increased temperature disrupts weak interactions such as hydrogen bonding which causes the proteins to lose their primary structures and abilities to catalyze reactions. C.The increased temperature disrupts weak interactions such as hydrogen bonding which causes the proteins to lose their tertiary structures and abilities to bind specific molecules. D.The increased temperature disrupts covalent bonds such as peptide bonds which causes the proteins to lose their tertiary structures and abilities to bind specific molecules. 8. Higher Order Thinking Skills (HOTS) An injury to the brain stem can cause sudden death. Give reason. what is the strongest interparticle force present in a sample of h3po4? which sql statement is used to extract data from a database?A)GetB)SelectC)OpenD)Extract Suppose that in a certain metropolitan area, 90% of all households have cable TV. Let x denote the number among four randomly selected householdsthat have cable TV. Then x is a binomial random variable with n = 4 and p = 0.90. (Round your answers to four decimal places.)(a) Calculate p(3)=P(x = 3).Interpret this probability.a) the probability that more than three of the four randomly selected households have cable TVb) the probability that at most three of the four randomly selected households have cable TVc) the probability that at least three of the four randomly selected households have cable TVd) the probability that less than three of the foor randomly selected households have cable TVe) the probability that exactly three of the four randomly selected households have cable TV(b) Calculate p(4), the probability that all four selected households have cable TV.(c) Calculate P(x 3). A box slides 5.10 m across a rough floor. The friction force is 2.05 newtons. How much work is done by the friction force to the box as it slides? Which statement is trueabout the function f(x)= V-=x?The domain of thegraph is all real numbers.The range of the graph IS all real numbers.The domain of the graph is all real numbers less than orequal to 0.The range of the graph is all real numbers less than or equal to 0. How to resolve cmd does not support UNC paths as current directories? You recently purchased a car for $25,000. You were able to put $10,000 down upfront and finance the rest at a 0% interest rate. How much equity do your currently have on the vehicle?a) $15,000b) 0c) $25,000d) $10,000 The linear functions f(x) and g(x) are represented on the graph, where g(x) is atransformation of f(x):Part A: Describe two types of transformations that can be used to transform f(x) to g(x). Part B: Solve fork in each type of transformation. Part C: Write an equation for each type of transformation that can be used totransform f(x) to g(x). true/false. the view suggests that evolution proceeds at a relatively slow and steady pace over time, whereas the view suggests that species experience long periods stasis alternating with bursts of evolution over short periods of time. how did colonists react to boston massacre What mood does this passage use, and why?The passage uses the imperative mood to try to get people to change their behavior.The passage uses the indicative mood to indicate what people should be doing.The passage uses the conditional mood to talk about conditions under which things could change.The passage uses the interrogative mood to get people to think and to ask themselves questions