Esp An airplane travels 2028 kilometers against the wind in 3 hours and 2298 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind? Note that the ALEKS graphing calculator can be used to make computations easier. km Rate of the plane in still air: h km Rate of the wind: h

Q: C = kmaxt² 5 + 2t² + 3.5t

A:

Q: A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's…

A: The height of the ball, t second after it was thrown is h=-16t2+128t+320 When the ball strike the…

Q: Leela is Radha's younger sister. Leela is 4 years younger than Radha. Can you write Leela's age in…

A:

Q: The graphs, on the right, show the percentage of jobs in a country's labor force held by men and…

A: Given : p = 2.2√t + 33.6 where , t is number of years since 1970.

Q: The bar graph shows the percentage of households with an interfaithmarriage in 1988 and 2012. Also…

A:

Q: A turboprop plane flying with the wind flew 700 mi in 5 h. Flying against the wind, the plane…

A:

Q: An item is regularly priced at $97. It is now priced at a discount of 80% off the regular price. Use…

A: Regular price of the item is =$97 Discount percentage =80%=0.8 times of regular price

Q: Explain the Figure below

A: Given information: A bar graph of price and transition probability is given.

Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

A:

Q: John’s age 8 years hence is three times of his age 12 years ago. How old is he now?

A:

Q: Height varies directly as foot length.  A person whose foot length is 10 inches is 67 inches tall.…

A: Given problem:- Height varies directly as foot length. A person whose foot length is 10 inches is 67…

Q: The Titanic gives out a distress signal giving its location by g rid reference ( −50,175 ) . A…

A:

Q: Figure 0 Figure 1 Figure 2

A: AS A VARIABLE, FROM FIGURE1,2,3.

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: Given that: Distance travelled between 10:17 to 10:55 am = 39 milesSpeed limit = 60 mph

Q: the altitude drawn to the 1. 10

A:

Q: a. The distance traveled by a car moving at 50 miles per hour for x hours b. The total number of…

A:

Q: a snow plow has a maximum speed of 60pmhon a dry highway. its maximum speed decreases by 1.3mph for…

A: Let x inches will stop the snowplow. 1 inch decreases 1.3 mph. x inch decreases 1.3x mph. The…

Q: The body mass index​ (BMI) is used to assess the relative amount of fat in a​ person's body. If w is…

A:

Q: An object is dropped from a tower, 1024 ft above the ground. The object's height above ground x…

A: This question can be solved by equating the given equation to zero to obtain the time and then using…

Q: An object is dropped from a tower, 256 ft above the ground. The object's height above ground x…

A:

Q: It takes Jared 16 hours to rake the front lawn while his brother, Warren, can rake the lawn in 12…

A:

Q: The body mass index (BMI) is a number that can be calculated for any individual by using the…

A:

Q: Flying against the jet stream, a jet travels 1880 mi in 4 hours. Flying with the jet stream, the…

A: Let the rate of still air be x miles/hr and the rate of the jet stream be y miles/hr.

Q: An object’s weight on the Moon, M, varies directly as its weight on Earth, E. Neil Armstrong, the…

A: Given Given relation - Object's weight on the Moon (M) , varies directly as its weight on Earth (E)…

Q: At 9AM a plane leaves Cleveland-Ohio at a uniform speed of 500mph. One 1 hour later another plane…

A: Let the distance between two parts =d. distance=time×speed By the time second plane leaves, Plane 1…

Q: A. What is the markup rate in decimal form? uses a markup rate of 250%. equation y = kx. Write an…

A: According to our our guideline we are supposed to answer only the first 3 sub-part of the given…

Q: The dot plot below represents how long it takes students in a 7th grade math class to get to school…

A:

Q: An athlete runs 3 mi in 24 min. This athlete Choose. an athlete who runs 4 mi in 33 min. Choose. is…

A: Given: An  athlete runs 3 mi in 24 min. An athlete runs 4 mi in 33 min.

Q: The equation I= Prt gives the amount of interest a bank account receives after a certain period. An…

A: Principal amount (P)=$6000 Rate of interest® =7% =7/100 Interest (I) =$33.60 Let, time in years = t

Q: A ball is thrown straight up from a rooftop 600 feet high. The formula h equals negative 16 t…

A: When the ball hits ground then h=0. We plug h=0

Q: The volume, QQ, of a sound is inversely proportional to the square of the distance nn, in meters,…

A: Q is inversely proportional to the square of the distance, n

Q: The scatter plot shows the relationship between the time spent to complete the first project and the…

A: First of all, we know that the, The intercept of the line is the value at which a straight line cuts…

Q: The graph below shows the relationship between the height of the water in a bottle (in inches), h,…

A: From the graph we can see that  when the height of the water in the bottle is 0.5  then the volume…

Q: The bar graph shows the percentage of households with an interfaithmarriage in 1988 and 2012. Also…

A: The formula N=14x+6 models the percentage of U.S. households in which a person of faith is married…

Q: At 9:00 am Katrina starts down an exercise path and walks at a rate of 3 mph. At 9:30 A.M Carla…

A: We know that Distance=speedx Time Here Katrina and Carla have to travel the same distance. According…

Q: Suppose one click of the zoom-out button results in a 10 percent decrease in the size of the…

A: Here, from the data, the decrease in size is given by: an+1=10%an⇒an+1=0.1an where n is the number…

Q: The bar graph shows the percentage of households with an interfaithmarriage in 1988 and 2012. Also…

A: In which years will more than 34% of U.S. households have an interfaith marriage?

Q: Use the four-step procedure for solving the following variation problem. The height that a ball…

A: Given ,  The height that a ball bounces varies directly as the height from which it was dropped A…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A:

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: Given the time interval 10:17 am to 10: 53 am So the time interval is from [17,53] Average velocity…

Q: An endagered species is the subject of a protection program.  The Formula below models the species…

A: We are given that the formula P= -10x2+235x+2200 models the species population, P, after x years of…

Q: A 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder…

A:

Q: Suppose a table tennis ball is hit in such a way that it's path can be modeled by h=-4.9t^2+2.07t…

A:

Q: Use the four-step procedure for solving the following variation problem. The height that a ball…

A: In the "four-step" procedure, you will find the equation forthe initial variation, solve for the…

Q: Company Es well has a pumpjack with a 2 1/4-inch pump rod and is running an 86-inch stroke. If the…

A: Here, Volume of 1 oil barrel =9702in3 Diameter of a pumprod, d=214=2.25 inch Running stroke of pump,…

Q: The altitude of

A: Given, the altitude of a right circular cylinder and the radius of its base are each 12 inches long.…

Q: One cell plan charges a flat month rate of 39.95 with extra charges 0.10 text message. Write a…

A: Given that One cell plan charges a flat month rate of 39.95 with extra charges 0.10 text message. To…

Q: The gross domestic product​ (GDP; in trillions of​ dollars) for Country A and Country B can be…

A: The gross domestic product​ (GDP; in trillions of​ dollars) for Country A and Country B can be…

Q: The length of a rectangular box is 2 times its height, and its width is 6 ft more than its height.…

A:

Q: The speed of light is about 186,000 mi/s. Use the given information to find how long it takes for a…

A: Given : The speed of light is about 186,000 mi/s.  The distance from the earth to the sun is about…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.