which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse ?

Answers

Answer 1

Answer:

Step-by-step explanation:

Please share the answer choices next time.

The simplest diagram of a 30-60-90 triangle indicates leg lengths of 1 and √3 and hypotenuse 2.  Thus, the desired ratio is √3/2.  This is the sine of 60° and also the cosine of 30°

Answer 2

Answer: 3\3 :6 , \3:2 and 3 :2/3

Step-by-step explanation:


Related Questions

Krutika, David and Mark share some sweets in the ratio 2:2:1. Krutika gets 20 more sweets than Mark. How many sweets does David get?

Answers

Answer:

David gets 20 sweets.

Step-by-step explanation:

If you want the ratio, 2:2:1, Krustika gets 20 more than mark, you will need to have double what mark got.

So, the only number I can think of that is half, but also 20 more than the "1" ratio, is 20; as 20 is half of 40, however, 40 is also 20 more than the "1" ratio.

Final answer:

David gets 40 sweets when the sweets are divided in a 2:2:1 ratio among Krutika, David, and Mark, and where Krutika receives 20 more sweets than Mark.

Explanation:

The problem presents a ratio which is the relation between three persons sharing sweets: Krutika, David, and Mark. The ratio is given as 2:2:1 respectively. This means that for every 2 sweets Krutika gets, David gets 2 sweets, and Mark gets 1 sweet.

Krutika gets 20 more sweets than Mark in this arrangement, so we can say that Mark's share (1 part of the ratio) is equivalent to Krutika's share - 20, which is 20 sweets. Therefore, 1 part of the ratio represents 20 sweets.

Since David's share is 2 parts of the ratio, and each part of the ratio is equivalent to 20 sweets, David gets 2 * 20 = 40 sweets.

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Whats the answer?? I'm horrible at math ;-;

Answers

Answer:

Matt's Answer.

Step-by-step explanation:

Note that in the equation, you need a radius (r). However, a diameter is given, which is 15 centimeters. This means that, to solve this equation, you must first divide 15 by 2, to be able to continue to solve. In Matt's case, he failed to do that.

~

In college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. Consider the following facts about the scoring distributions for some NCAA Division I basketball teams. Each team has 121212 players. At Baylor University, there are 666 players who each score 121212 points per game, and there are 666 players who each score 000 points per game. At the University of Maryland, 111 player scores 585858 points per game, 111 player scores 141414 points per game, and the rest of the players score 000 points per game. At Dartmouth College, 444 players score 555 points per game, 444 players score 666 points per game, and 444 players score 777 points per game.

Which of the following is true? Choose all answers that apply: Choose all answers that apply:

(Choice A) A At Dartmouth, the mean number of points per player per game is greater than the median number of points per player per game.
(Choice B) B At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(Choice C) C The median number of points per player per game is the same at all 333 schools.
(Choice D) D The mean number of points per player per game is the same at all 333 schools.

Answers

Answer:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

Step-by-step explanation:

Baylor University

6 players who each score 12 points per game

6 players who each score 0 points per game.

The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12

[tex]Mean=\frac{0+0+0+0+0+0+12+12+12+12+12+12}{12} \\Mean=6\\Median=\frac{12+0}{2}=6[/tex]

University of Maryland

1 player scores 58 points per game,

1 player scores 14 points per game,

The rest(10) of the players score 0 points per game.

The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58

[tex]Mean=\frac{0+0+0+0+0+0+0+0+0+0+14+58}{12} \\Mean=6\\Median=\frac{0+0}{2}=0[/tex]

Dartmouth College

4 players score 5 points per game,

4 players score 6 points per game,

4 players score 7 points per game.

The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7

[tex]Mean=\frac{5+5+5+5+6+6+6+6+7+7+7+7}{12} \\Mean=6\\Median=\frac{6+6}{2}=6[/tex]

The following applies:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

Final answer:

In college basketball, the mean and median number of points per player per game can be different depending on the scoring distribution of the team. At Dartmouth, the mean is greater than the median due to players scoring different points. At Maryland, the mean is also greater than the median due to a few players scoring higher points. The median and mean can vary across different schools and teams.

Explanation:

Choice A: At Dartmouth, the mean number of points per player per game is greater than the median number of points per player per game. The mean is calculated by summing up all the scores and dividing by the total number of players, while the median is the middle value when the scores are arranged in increasing order. With players scoring different points per game at Dartmouth, there will be players scoring more than the mean, pulling the mean up and making it greater than the median.

Choice B: At Maryland, the mean number of points per player per game is greater than the median number of points per player per game. With only a few players scoring points other than 0, these outlier scores will cause the mean to be greater than the median.

Choice C: The median number of points per player per game can be different at different schools. In the case of Dartmouth, the median could be greater than the mean due to a large number of players scoring the same lower points per game. In the case of Maryland, with a few players scoring higher points, the median could be lower than the mean.

Choice D: The mean number of points per player per game can be different at different schools, as explained in Choices A and B.

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Last Tuesday regal cinemas sold a total of 8500 movie tickets. Proceeds totaled $64605. Tickets can be bought in 3ways :matinee cost 5$, students cost 6$ all day and regular cost 8$. How many of each type of tickets was sold if twice as many students tickets were sold as matinee tickets ?

Answers

Answer: 485 matinee tickets, 7045 regular tickets and 970 student tickets were sold.

Step-by-step explanation:

Let x represent the number of matinee tickets that were sold.

Let y represent the number of regular tickets that were sold.

Let z represent the number of student tickets that were sold.

Last Tuesday regal cinemas sold a total of 8500 movie tickets. It means that

x + y + z = 8500

Tickets can be bought in 3ways :matinee cost $5, students cost $6 all day and regular cost $8. Proceeds totaled $64605. It means that

5x + 8y + 6z = 64605- - - - - - - - -2

if twice as many students tickets were sold as matinee tickets, it means that

z = 2x

Substituting z = 2x into equation 1 and equation 2, it becomes

x + y + 2x = 8500

3x + y = 8500

y = 8500 - 3x - - - - - - - - - 3

5x + 8y + 6 × 2x = 64605

5x + 8y + 12x = 64605

17x + 8y = 64605- - - - - - - - - 4

Substituting equation 3 into equation 4, it becomes

17x + 8(8500 - 3x) = 64605

17x + 68000 - 24x = 64605

17x - 24x = 64605 - 68000

- 7x = - 3395

x = - 3395/-7

x = 485

z = 2x = 2 × 485

z = 970

Substituting x = 485 and z = 970 into equation 1, it becomes

485 + y + 970 = 8500

1455 + y = 8500

y = 8500 - 1455

y = 7045

What is the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

The rise over run is -2 over -2.

-2/-2=-1

200% of d is 18 what is d

Answers

Answer:

d = 9

Step-by-step explanation:

200% = double

aka 2d = 18

d = 9

Answer:

d = 9

Step-by-step explanation:

Of means multiply and is means equals

200% * d = 18

Changing to decimal form

2.00 * d = 18

Divide each side by 2

2d/2 = 18/2

d = 9

In ΔFGH, the measure of ∠H=90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of ∠G?

Answers

Answer:

55/48

Step-by-step explanation:

We can find the  tangent of ∠G using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,

SOA stands for

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

Considering triangle ΔFGH, where ∠H=90°

The opposite side is FH, the hypotenuse side is GF and the adjacent side is HG hence,

Tan ∠G = FH/HG

= 55/48

Answer:

55:48

Step-by-step explanation:

Given a right angles triangle ∆FGH

where  ∠H=90°, HG = 48, FH = 55, and GF = 73,

Based on the diagram attached

To find the tangent of angle G, we will use the concept of SOH CAH TOA in trigonometry identity.

According to TOA:

Tan ∠G = Opposite/Adjacent

Note that the opposite side will be the side facing the angle we are considering i.e ∠G

Opposite = 55

Adjacent will be the base of the triangle = 48

Tan∠G = 55/48

The ratio that represents the tangent of ∠G is 55:48

Help me what is this

Answers

Answer:

Dog

Step-by-step explanation:

This seems to be a Chihuahua breed of a dog

Answer:

doggo

Step-by-step explanation:

Students at freeman middle school have a choice of water, milk, or juice. from a survey, it was determined

Answers

Answer:

the probability that exactly three of four randomly selected students do not prefer water is;

P = 125/1296 = 0.096

Completed question:

Students at Freeman Middle School have a choice of water, milk, or juice for breakfast. From a survey, it was determined that 50 students prefer water, 100 prefer juice, and 150 prefer milk. You want to know the probability that exactly three of four randomly selected students do not prefer water.

Step-by-step explanation:

Preference from survey results;

Water = 50

Juice = 100

Milk = 150

Total = 50+100+150 = 300

the probability that a selected students do not prefer water;

P1 = (100+150)/300 =250/300 = 5/6

the probability that a selected students prefer water;

P2 = 50/300 = 1/6

the probability that exactly three of four randomly selected students do not prefer water is;

P = P1 × P1 × P1 × P2

P = (5/6)^3 × 1/6

P = 125/1296 = 0.096

Answer:

0.096

Step-by-step explanation:

What is 5,384,981 to the nearest ten-thousands place?​

Answers

Answer:

5,380,000

Step-by-step explanation:

Which sample fairly represents the population? Select two options.
measuring the height of every fiftieth person on the school roster to determine the average height of the boys in the school

A.) calling every third person on the soccer team's roster to determine how many of the team members have completed their
fundraising assignment

b.) observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear
glasses

c.) sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction
the residents of the town

d.) taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want
to be able to leave campus during lunch

Answers

Answer:

b) observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses.

d) taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.

Step-by-step explanation:

These are the two options that are most likely to give you a sample that fairly represents the population. In the first case, the sample that you obtain is likely to be a good representation because Main Street is a road where a great variety of people walk. Moreover, 5 pm is also a time that will allow you to see  a great number of different people. The second answer will also give you a good sample, as the poll would include all students in the lunch room, which is all students in the school (the whole population).

What is the measure of an angle that turns through 1/3 of a circle

Answers

Answer: 360 degrees

Step-by-step explanation:

Multiply by 1/3. 360(1/3)=120.

Final Answer:

The measure of an angle that turns through 1/3 of a circle is 120 degrees.

Explanation:

To find the measure of an angle that turns through 1/3 of a circle, you would follow these simple steps:
1. Understand what a full circle represents in terms of angle measure: A full circle rotation is equal to 360 degrees. This is because a degree is defined such that there are 360 of them in a full rotation.

2. Calculate a third of this full circle: Since we're interested in finding what 1/3 of a full rotation is, you simply divide the full circle angle measure by 3.

So you take the 360 degrees and divide by 3:
360 degrees / 3 = 120 degrees

Therefore, the measure of an angle that turns through 1/3 of a circle is 120 degrees.

Find the missing length of the triangle.
5.6 in.
10.6 in.

Answers

Answer:

9 in

Step-by-step explanation:

The missing length of the right angle triangle is approximately 12 in.

The missing length of the right-angle triangle can be found using the Pythagorean theorem. The theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. In this case, the length of one side of the triangle is 5.6 in and the length of the other side is 10.6 in. Let's substitute these values into the formula:

a² + b² = c²

(5.6 in)² + (10.6 in)² = c²

31.36 in² + 112.36 in² = c²

143.72 in² = c²

Now, we can take the square root of both sides to find the length of the hypotenuse:

c = √143.72 in² ≈ 12 in

Therefore, the missing length of the right angle triangle is approximately 12 in.

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A company figured that if it had 50 more employees and paid each one $2 per day less, the payroll would increase $620 per day. If it had 50 less employees and paid each $4 per day more, the payroll would decrease $640 per day. How many employees does the company now have? a) 150 b) 125 c) 80 d) 140 e) 180

Answers

Answer: 50 more because it makes sense and 2 dolllors it digures

Step-by-step explanation:

a the answerb thats what i put

A truck is carrying 100 pounds of grapes, which are 99% water (and 1% skin, fiber, etc…). When the truck breaks down and the grapes sit in the back of the truck for 4 hours, they become 98% water. At that moment, how many pounds do the grapes weigh?

Answers

Answer:

The grapes have a weight of 50 pounds

Step-by-step explanation:

To calculate the weight of the grapes, we proceed as follows;

Let's categorize the skin, fiber as solids

At first, we had 1% solids and 99% water.

This means 99 pounds of water and 1 pound of solid

It must be known that the 1% solid remains the same after drying and what we have lost simply is the water,

This means that 2% of the total weight is now same 1 pound of solid after drying

Mathematically, this means

2/100 * new total weight = 1 pound

New total weight = 1 pound × 100/2 = 50 pounds

Plot point A at (4,3). Translate point A left 5 units. Label this point B. Give the coordinates of point B.

Answers

Point B (4,-2) is the answer because 3-5= -2

Not going to plot the points for you. I expect that is within your comprehension.

If you plot point B five units to the left of A, that means x is going to decrease by 5. That means that the coordinates of B are B(4 - 5, 3) = B(-1, 3).

Hope this helps.

What is the solution to the equation 2 x + 4 = 24?
x = 1
x = 3
x = 6
x = 10
Brainliest if answered correctly!

Answers

x=10
2(10)+4
24
the others wouldn’t get you enough

Answer: [tex]x=10[/tex]

Subtract 4 from both sides

[tex]2x+4-4=24-4\\2x=20[/tex]

Divide both sides by 2

[tex]2x/2=20/2[/tex]

[tex]x=10[/tex]

Bus A and Bus B leave the bus depot at 7 am. Bus A takes 25 minutes to do its route and bus B takes 40 minutes to complete its route. At what time are they both back at the bus depot together?

Answers

Bus A and Bus B leave the bus depot at 7 am. At 10:20 AM are they both back at the bus depot together.

Given:

Bus A takes 25 minutes to complete its route once  Bus B takes 40 minutes to complete its route  To find time when they will be back at the bus depot together we need to find LCM of 25 & 40 Minutes  

=> 25 = 5 * 5  

=> 40 = 2 * 2 * 2 * 5  

LCM = 2 * 2 * 2 * 5 * 5  

=> = 200

Thus, After 200 minutes Buses will be back at the bus depot together

200 minutes = 3 hr 20 Minutes  7 : AM  +  3 hr 20 Minutes => = 10 : 20 AM  

Thus, At 10: 20 AM Buses would be back at the bus depot together.

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Final answer:

Bus A and Bus B will both be back at the depot at the same time at 10:20am.

Explanation:

To solve the problem, we need to determine when both Bus A and Bus B will be back at the depot at the same time. Since Bus A takes 25 minutes to complete its route and Bus B takes 40 minutes, we need to find the common multiple of these two numbers. The smallest common multiple of 25 and 40 is 200. This means that both buses will be back at the depot at the same time after 200 minutes.

Since the buses leave the depot at 7:00 am, we add 200 minutes (or 3 hours and 20 minutes) to this time. Therefore, it's at 10:20 am that both buses are back at the depot at the same time.

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answer question below please
solve for x

Answers

Answer:

The answer to your question is x = 12

Step-by-step explanation:

Data

BC = 7

DE = x

AB = 7

BD = 5

Process

To solve this problem use proportions and cross multiplication. Compare the ΔADE and ΔABC.

             DE / (AB + BD) = BC / AB

-Solve for DE

             DE = BC (AB + BD) / AB

-Substitution

             DE = 7(7 + 5) / 7

-Simplification

             DE = 7(12) / 7

             DE = 84/7

-Result

             DE = 12

What is the slope of the line that passes through (0,5) and (8,27)?

Answers

Answer:

the slope of the line is 2.75

Slope intercept form (y = mx + b) y = 2.75x + 5

Find the vertical asymptotes of the following function:

y=x+2
_______
x^2 +2x−8

Select the appropriate response:

A) horizontal asymptotes x = −4, 5

B) horizontal asymptotes x = −4, 4

C) vertical asymptotes x = −8, 4

D) vertical asymptotes x = −4, 2

Help please! 50 points!

Answers

Answer:

D) vertical asymptotes x = −4, 2

Step-by-step explanation:

First you factor the denominator: x^2 +2x−8

Find factors of -8(c) that add together to give 2(b): 4 and -2

Rewrite the equation: x^2+4x-2x-8

Factor out common variables: x(x+4)-2(x+4)

Group the things inside and outside the parentheses together: (x-2)(x+4)

Solve: x-2=0 so x=2 and x+4=0 so x=-4

Answer:

D) vertical asymptotes x = −4, 2

Step-by-step explanation:

x² + 2x - 8 = 0

x² + 4x - 2x - 8 = 0

x(x + 4) - 2(x + 4) = 0

(x + 4)(x - 2) = 0

x = 2, -4

5/6 times 1/3. dived by 2/3 divided 1/2

Answers

Answer:

5/6 (please give branliest)

Step-by-step explanation:

5/6 * 1/3 = 5/18

5/18 / 2/3 = 5/12

5/12 / 1/2 = 5/6

Answer:

I'm pretty sure it is 5/6

Step-by-step explanation:

Which of the following illustrates the product rule for logarithmic equations?
log (4x) = log24 = log2x
log2(4x) = log24-log2x
o log2 (4x) = log24-log2x
log2(4x) = log24+log2x

Answers

Since the product of 4x is written as the sum log 4 and log x hence the  expression log2(4x) = log2(4)+log2(x) illustrates the product rule for logarithmic equations

Product rule of logarithm

According to the law of logarithm

log (ab) = loga + logb

The product of log becomes sum

From the given log functions,

log2(4x) = log2(4)+log2(x)


Since the product of 4x is written as the sum log 4 and log x hence the  expression log2(4x) = log2(4)+log2(x) illustrates the product rule for logarithmic equations

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A car leaves town, A at the speed of 90 km/h. Three hours later leaves the same city another car in pursuit of the first with a speed of 120 km / h. How much time will take to reach it?

Select the appropriate response:
A) t = 6hrs
B) t = 12 hrs
C) t = 30 min
D) None of the answers are correct

Answers

Option B is correct, it will take 2hrs to reach it.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

A car leaves town, A at the speed of 90 km/h.

Distance covered by A: 90t

Three hours later leaves the same city another car in pursuit of the first with a speed of 120 km / h

Distance covered by B: 120(t - 3)

90t = 120(t - 3)

Apply distributive property

90t = 120t - 360

30t = 360

Divide both sides by 360

t = 12

Hence, option B is correct, it will take 2hrs to reach it.

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How do you identify an exponential equation as growth or decay? Y = a(b)^x

Answers

Step-by-step explanation:

y = a (b)ˣ

If 0 < b < 1, the function is exponential decay.

If b > 1, the function is exponential growth.

Tyrone had a chocolate bar, of which he gave one-half to his friend Nora. Nora gave one-half of her piece to her friend Eduardo. What fractional part of the original chocolate bar did Eduardo get?

Answers

i believe it should be 1/4

The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night. A box-and-whisker plot. The number line goes from 20 to 80. The whiskers range from 25 to 70, and the box ranges from 40 to 55. A line divides the box at 50. A bar graph titled Minutes spent reading. 4 students spent 25 to 34 minutes; 4 spent 35 to 44; 6 spent 45 to 54; 4 spent 55 to 64; 2 spent 65 to 74. Which statements best describe the box plot or histogram? Check all that apply. Using the information in the box plot, the total number of students surveyed is 70 – 25, or 45. Using the information in the histogram, the total number of students surveyed is 4 + 4 + 6 + 4 + 2 = 20. Referring to the box plot, the median of the data is 50. Referring to the histogram, the median of the data is 49.5. The range of the data can be found using the box plot. The range of the data can be found using the histogram.

Answers

The statement best describes the box plot or histogram is B,C and E

We have given that,

The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night.

What is the box and whisker method?

A box and whisker plot is defined as a graphical method of displaying variation in a set of data

A box-and-whisker plot

B-Using the information in the histogram, the total number of students surveyed is,

=4 + 4 + 6 + 4 + 2

= 20.

C-Referring to the box plot, the median of the data is 50.

E-The range of the data can be found using the box plot.

Therefore the statement best describes the box plot or histogram is B,C and E.

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Answer:

B,C,E

Step-by-step explanation:

. Given the first term "a" and the common ratio "r", generate the next three terms in the geometric sequence: a = 12.3; r = 0.5. (Write in decimal form to the thousandths place.) *

Answers

Answer:

i wanna say 12.8, 13.3, 13.8

im not sure though, i hope this helps

Evaluate the expression

Answers

Answer:

the correct answer is 4. because the cube root of 64 is 4

Answer:

Step-by-step explanation:

Recall that 4^3 = 64.

Thus, the opposite operation is the cube root of 64:  ∛64 = 4

Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an
angle of 29º. Howard wants the chairs to be 2.75 meters above the ground in full swing.
How tall should the pole of the swing ride be?
Round your final answer to the nearest hundredth.
meters
------
2.75 m

Answers

Answer:

7.12m

Step-by-step explanation:

THIS IS THE CORRECT QUESTION:

Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an angle of 29 degrees. Howard wants the chairs to be 2.75 meters above the ground in full swing. How tall should the pole be? Round your answer, if necessary, to 2 decimal places.

From the question:

Length of the rope is = 5 m long.

The tilted angle is 29°

The distance from the ground is 2.75 m

To Find the height of the pole,

SEE THE ATTACHMENT BELOW;

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Divide and simplify your answer 2 1/2 divided by 3 3/4 Help please! Fill in the blanks using the word bank, Ill mark the answer brainliest and 10+ points!! Do baking bread release or absorb energy In his 1896 bid for president, William Jennings Bryan was supported by both theA. Democratic and the Republican parties.B. Peoples and the Republican parties.C. Populist and the Peoples parties.D. Peoples and the Democratic parties. Frans Crazy Salts has just been bought by Allspice. Employees are unsure of what that will mean for their jobs, as Allspice already has a competent workforce. As a result, many employees have started to call out sick and have begun to look for other jobs. Frans Crazy Salts should use a change agent to address ________.a. evaluating the intervention.b. collecting feedback.c. revitalizing the organization.d. adapting to mergers.e. managing conflict. An article suggests that substrate concentration (mg/cm3) of influent to a reactor is normally distributed with = 0.50 and = 0.08. (Round your answers to four decimal places.) (a) What is the probability that the concentration exceeds 0.60? 1.Mrs. Henderson sells houses. She gets a5% commission on all sales. How muchcommission would she make on a housethat sells for $180,000?a. $1800b. $9000c. $18,000d. $90,000 How is TV news programming today different from news programs of the 20th century?The content of today's news programming is usually more serious than in previous eras.A larger percentage of air time is focused on guest commentary rather than news reporting.Anchors or primary hosts play a less significant and visible role in delivering the news.Fewer news programs include stories reported by journalists who are on the scene. Which statement BEST describes a similarity and a difference between photosynthesis and cellularrespiration?A. Photosynthesis and cellular respiration both use carbon dioxide to create energy, but while animal cellsrespire it as a waste product, plant cells absorb it for their use.B. Photosynthesis and cellular respiration both produce glucose molecules, but while cellular respirationrequires the ingestion of glucose in animal cells, plant cells are able to create their own duringphotosynthesis.C. Photosynthesis and cellular respiration both occur in the chloroplasts, but while photosynthesis only occursin plant cells, cellular respiration occurs in both plant and animal cells.D. Photosynthesis and cellular respiration both produce energy, but while photosynthesis assembles glucosemolecules in plant cells, cellular respiration breaks down glucose molecules in plant and animal cells. tell me if there's is a outlier in these numbers please 20,24,58,59,63,63,65,66 Example 1: Find the lateral area of the regular rectangular pyramid.5 cmStep 1: Identify the base. Draw it to help find the perimeter of it.2.5 cm"regular rectangular" meansall sides areP= 4(2.5cm) =cm2.5 cmStep 2: Identify the slant height of the pyramid, height of the lateral face of the pyramid.I=cmStep 3: Substitute "P" and "l' into the lateral area formula.L=P7 What is X equal to in the equation here are the scores that Jenna has received on her seven quizzes what is the upper quartile What statements are true of the Magna Carta The polynomial p(x) = x3 + 3x2 - 4 has a known factor of (1 - 1).Rewrite p(x) as a product of linear factors. The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is = 24.9 + 0.301x, where x = price ($) and y = overall score.Brand PriceScoreBose 18 76Scullcandy 150 71Koss 95 62Phillips/O'Neill7057Denon 70 30JVC 35 34Round your answers to three decimal places.a. Compute SST, SSR, and SSE. Which of the following actions would be most appropriate?a. You see a fight break out at a school, and so you call a national official.b. You discover a broken streetlight, and so you call a national official.c. You notice that the interstate exit has damage, and so you call a state official.d. you found a dog roaming the neighborhood, and so you call a state official. The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.3 years and a standard deviation of 0.6 years. He then randomly selects records on 50 laptops sold in the past and finds that the mean replacement time is 3.1 years. Assuming that the laptop replacement times have a mean of 3.3 years and a standard deviation of 0.6 years, find the probability that 50 randomly selected laptops will have a mean replacement time of 3.1 years or less. P(M < 3.1 years) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Based on the result above, does it appear that the computer store has been given laptops of lower than average quality? No. The probability of obtaining this data is high enough to have been a chance occurrence. Yes. The probability of this data is unlikely to have occurred by chance alone Gabriella and her children went into a grocery store and where they sell apples for $1 each and mangos for $0.50 each. Gabriella has $15 to spend and must buy at least 19 apples and mangos altogether. If Gabriella decided to buy 13 mangos, determine the maximum number of apples that she could buy. Who controls the supply for coffee shops and based on what factors