A boat going with the current travels 30 miles in 2 hours, it makes the return trip against the current in 2 hours and 30 minutes. What is the speed of the boat and the speed of the current? (Give answers as decimals or whole numbers, NOT fractions) Speed of the boat= Speed of the current=

Q: Rewrite the equation below so that it does not have fractions. 2 3 4 Do not use decimals in your…

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Q: Sally can paint a room in 7 hours while it takes Steve 4 hours to paint the same room. How long…

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Q: One-third of a number is subtracted from 10. The answer is 1. What is the number?

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Explain why the sum of −8 and 2 is negative, but the sum of 8 and −2 and is positive.

A: Compare the magnitude of both the number.  This magnitude decides the sign of resultant sum.

Q: Sally can paint a room in 3 hours while it takes Steve 5 hours to paint the same room. How long…

A: Work: Sally can paint a room in 3 hoursSteve can paint a room in 5 hours Sally can paint 1/3 of a…

Q: When 22 is decreased by triple a number the results is ten.

A: Given data is : When 22 is decreased by triple a number the results is ten Let the number be x

Q: Fill in the blank to make the two fractions equivalent. 3 4 24

A:

Q: Yoko drove to the mountains last weekend. There was heavy traffic on the way there, and the trip…

A: Let, Speed of Yoko on way to mountains =x miles/hour Time of trip=9 hours Total distance=speed*time…

Q: What number should be added to complete the square of the following expression? x² - 15x The number…

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Q: Sarah rolled a number cube 30 time and recorded the results.she found that she rolled an even number…

A: Probability

Q: The volume of a cube is given by the expression s' and its surface area is given by the expression…

A: We will use the given formula to find the surface area and volume

Q: In an electric circuit, the current increases with the voltage.  If the current is 1.8 amps when the…

A: The new voltage amount is 54 volts.Multiply the amps by 10 to get the volts.First of all, consider…

Q: Fourless than fivetimes a number is fifteen:

A: Set up an algebraic equation to help you solve

Q: One pump can empty a pool in 4 days, whereas a second pump can empty the pool in 11 days. How long…

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Q: A math club has 25 members of which 11 are males and the rest are females. What is the ratio of the…

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Q: Find the first term and the common difference. 3 7 9. 2, - - 2' 4 ... 4 a, =], d=D %3D (Simplify…

A: Given query is to find the first term and common difference.

Q: Gina has - pound of nuts that she wants to divide equally into 4 bags. How can Gina determine the…

A: Gina has 78 pounds of nuts which she has to divide into 4 bags equally.

Q: takes 3 hours for Mr.Bloom to deliver 189 packages.How many packages can he deliver in 1 hour?

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Q: A car traveled 420 miles in 4 hours. Do you think the driver should have gotten a speed ticket?

A: Speed= DistanceTime Distance=420 miles Time=4 hours

Q: 10 -8 -6- -2 (3, 1) 2 6 8 10

A:

Q: You eat 12 strawberries in 3 minutes. How long would it take you to eat 8 strawberries? What does…

A: Time to eat 12 strawberries = 3minuteTime to eat 1 strawberry =312minute

Q: A sweater is put on clearance for 2/3 it’s orginal price if the original price is 59.95 how much…

A: Given that, original price of the sweater is 59.95. A sweater is put on clearance for 2/3 it’s…

Q: ere are 3feet in a rug if a rug is 5 yards how long is it in feet

A: There are 3feet in a rug if a rug is 5 yards how long is it in feet

Q: Josephine can correct her students' test papers in 9 hours, but if her teacher's assistant helps, it…

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Q: It is found that 10 pears weigh an average of 7.19 pounds. A box of pears cost $1.86. The price per…

A: Since, it is given that 10 pears weigh an average of 7.19 pounds and a boxof pears cost $1.86. Also,…

Q: In 4 ​minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a…

A: It is given that a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to…

Q: Sam’s age is 1 less than twice Shari’s age. The sum of their ages is 104.How old is Shari?

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Q: You have a fraction with -1 as the numerator. If you raise 25 to the power of this fraction, the…

A: Given: from the hypothesiswe have -1x25=15To find x=?

Q: Find y if x= 5, please write your answer in simplest exact form ( no decimal), for example, if it is…

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Q: is 1/6 and 6/6 equal?

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Q: he sum of three consecutive multiples of 8 is 888 . Find the multiples

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Q: Write a fraction equal to 3/4 that has the denominator of 12. Then write a fraction equal to 2/3…

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Q: 34 is the same as 5 less then triple the difference of a number and 7

A: Forming the equation from given word problem 34=3x-7-5where x is the required numberBy solving this…

Q: When 18 is reduced by two-thirds of a number, the result is 12. Find the number. Show wor

A: Firstly we can  find an equation and after that we can solve the equation and find the number.

Q: One pump can empty a pool in 7 days, whereas a second pump can empty the pool in 13 days. How long…

A: To find the rate of first and second pump

Q: 3^x = 75 explain how 3 < x < 4 but x is closer to 4 than 3

A: We will solve this problem.

Q: $200 was shared among 3 girls. Sarah got $60. Of the remainder, Arian got 0.4 more than Judy. What…

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Q: n swimming events, a mile in the pool is considered to 1600 meters. How many meters separate a…

A: A swimmer mile is 1500mts  The actual mile is 1600mts

Q: How do you add a negative number to a fraction? a/b + (-c)

A:

Q: For how many integers æ is the fraction also an integer? 5z+9

A:

Q: 22) Cameron and Jamal play for the same basketball team. During a game, Cameron scores p points and…

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Q: Julie's quilt measures 72 inches by 80 inches. There are 9 squares across the width and 10 squares…

A: If the length and width of a quadrilateral are equal, then it is called a square.

Q: Juan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip…

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Q: Find the measure of the complement and the supplement of 63°. What is the measure of the complement…

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Q: At a sale this week, a desk is being sold for $495. This is a 34% discount from the original price.…

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Q: If the weight of a package is multiplied by 3/4 the result is 21 pounds. Find the weight of the…

A: Given that weight of the package is multiplied by 34,   we can write this statement  weight of the…

Q: The windshield wiper of a car is 18 inches long. How many inches will the tip of the wiper trace out…

A: Given: The length of the windshield wiper of a car = 18 inches  Length of complete revolution=…

Q: Shakira can make $15 in 2 ½ hours. How much money can she make in 20 hours? * Your answer

A: Let  x be a hourFrom the given data ,she can make $15 in  212hours212x=15x=15212x=6So one hour she…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.