A diver dives from a 9-foot-high platform with an initial speed of 16 feet per second. The height, h, of the diver can be modeled by the equation ℎ = −162 − 16 + 9, where t represents time in seconds. How long will it be before the diver hits the water?
Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 333 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 333 choices for his trip home. If Marvin randomly chooses his method of travel in the morning and in the evening, what is the probability that he teleports at least once per day?
The event "Atleast once" is the complement of event "None".
So, the probability that Marvin teleports atleast once per day will the compliment of probability that he does not teleports during the day. Therefore, first we need to find the probability that Marvin does not teleports during the day.
At Morning, the probability that Marvin does not teleport = 2/3
Likewise, the probability tha Marvin does not teleport during evening is also 2/3.
Since the two events are independent i.e. his choice during morning is not affecting his choice during the evening, the probability that he does not teleports during the day will be the product of both individual probabilities.
So, the probability that Marvin does not teleport during the day = [tex] \frac{2}{3}*\frac{2}{3}=\frac{4}{9} [/tex]
Probability that Marvin teleports atleast once during the day = 1 - Probability that Marvin does not teleport during the day.
Probability that Marvin teleports atleast once during the day = [tex] 1-\frac{4}{9}=\frac{5}{9} [/tex]
Answer:
5/9
Step-by-step explanation:
The chances he teleports in the morning is 2/3
Same for the evening.
so mulitply the two choices 2/3 * 2/3= 4/9
Then add 1 to account for teleports ONCE a day
1+4/9= 5/9
Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.
What is 20-3.05+(-9.5)
Graph y= 2x-2 with the domain (1,2,3)
Point B, located at (-4, -7), is reflected over the y-axis. What are the coordinates of B'?
(-4, 7)
(4, -7)
(4, 7)
(-4, -7)
Answer:
(4, -7)
Step-by-step explanation:
The rule for a reflection over the y-axis is (x,y)→(−x,y). So (-4, -7)=(--4, -7) since the 2 negatives cancel out the new coordinates are (4, -7)
How to write 8/12 as a product of a whole number and a unit fraction
Attila the Hun was a ruler of the Hunnic Empire. The Romans feared him greatly until his death since he made quite a habit of invading. The Romans no longer feared him after his death in 453. Let xxx represent any year. Write an inequality in terms of xxx and 453 that is true only for values of xxx that represent years after the year that Attila died.
Attila the Hun died in 453.
Let x represents the year.
So the inequality for will be 453<x.
Explanation:
Here x will be smaller than 453 because Hun was dead in 453. So 453 and any number smaller than that would be the times in his life that he would have been feared.
Suppose the value of x is greater than 453, then the Romans didn't fear him because after 453 he was dead.
What is the first quartile, Q1, of the data represented by the box plot?
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Can somebody help me with this homework
Research scientists need a certain type of bacteria to conduct an experiment. There are 100 bacteria in a certain culture. The culture grows at a rate of 70% daily. The scientists need at least 1,400 bacteria to conduct an experiment. What is the least number of days they must wait for the bacteria culture to reach a quantity of 1,400? (Hint: use a guess-and-check method to determine the lowest number of days that satisfy the requirement.) A. 4 days B. 5 days C. 6 days D. 7 days
Help Find X
I am lost
can someone double check my work for this problem? I got 38°??
please show steps to solve y=3\2x-2 y=x+2
a line's slope is 5, and its y-intercept is 6. what is its equation slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
Find the surface area of a pyramid with base sides of 6 inches and a slant height of 12 inches.
The area of base:
[tex]B=6^2=36\ in^2[/tex]
The area of one side:
[tex]S=\dfrac{1}{2}\cdot6\cdot12=36\ in^2[/tex]
The surface area:
[tex]SA=B+4S\to SA=36+4\cdot36=180\ in^2[/tex]
hurry........plz asap The owner of a bookstore predicts that over 50% of the books she sells each week are fiction books. To test this prediction, the owner randomly selects 150 books out of the total number of books sold for a week and records the type of each book. The table shows the results of samples taken for 2 separate weeks.
Based on these samples, is the owner's prediction correct? Select from the drop-down menus to correctly answer the question.
The owner's prediction is Correct/Not Correct . Based on the samples,
about 17% of the books sold each week are fiction books.
35%
53%
70%
Answer:
The owner's prediction is Not Correct .. Based on the samples, about 35% of the books sold each week are fiction books.Step-by-step explanation:
The owner of a bookstore predicts that over 50% of the books she sells each week are fiction books.
Based on the table of randomly selected sample we see that in week 1 there are 50 fiction books out of total 150 books.
so, the percentage of fiction books are:
[tex]\dfrac{50}{150}\times 100\\\\=33.33\%[/tex]
Similarly in the second week i.e. week 2 the number of fiction books are 55 out of 150 books so, the percentage of fiction books in week 2 are:
[tex]\dfrac{55}{150}\times 100\\\\=36.66\%[/tex]
Hence,
The owner's prediction is Not Correct .. Based on the samples, about 35% of the books sold each week are fiction books.
The standard tip in a restaurant is 15% of the bill before tax. Many people in California find the tip by doubling the sales tax, which is 8.25%. By how many cents does this exceed the standard tip on a bill of 60% before tax?
Answer:
90¢
Step-by-step explanation:
The percent paid by many people in California is [tex]$16.50\%$, or $1.50\%$[/tex] more of the bill than the standard tip. Thus the total difference is [tex]$\$60\cdot 0.015 = \$0.90$[/tex], or [tex]$\boxed{90}$[/tex] cents.
Hope this helped! :)
the length of the hypotenuse of an isoceles right triangle whose leg is one unit
A researcher randomly surveyed two separate age groups to determine the number of hours teens spend on the Internet each week. The results are shown in this table. 13- to 14-year-olds 12 8 7 8 9 6 7 7 9 10 15- to 16-year-olds 15 6 21 12 13 12 8 9 7 10 Based on these results, which conclusions can you draw about these two groups of teens? Select each correct answer.
A. On average, 15- to 16-year-olds spend a few hours more on the Internet each week compared to 13- to 14-year-olds.
B. On average, 15- to 16-year-olds spend a few hours less on the Internet each week compared to 13- to 14-year-olds.
C. On average, the two groups of teens spend about the same amount of time each week on the Internet.
D. The amount of time that 15- to 16-year-olds spend on the Internet each week is more variable than the amount time 13- to 14-year-olds spend.
E. The amount of time 15- to 16-year-olds spend on the Internet each week is less variable than the amount time 13- to 14-year-olds spend.
F. The amount of time that the two groups spend on the Internet each week varies by about the same amount.
Answer:
Option A and D.
Step-by-step explanation:
In this question the given table is of two separate age groups to determine the number of hours teens spent on the internet each week.
From the table
average hours spent by teens between the age of 13-14 years old
= (12+8+7+8+9+6+7+7+9+10+15)/10 = 83/10 = 8.3 hours
average hours spent by teens between age of 15-16 years old
=(15+6+21+12+13+12+8+9+7+10)/10 = 113/10 = 11.3 hours
From these averages we can conclude
A) 15-16 year old spend a few hours more than 13-14 year old teens.
D. The amount that 15-16 year old teens spend on internet is more variable than the time spent by 13-14 years old.
Option A and D are the correct options.
A basketball coach keeps track of points scored per game for all of her players. she gives a trophy to the player with the highest mean score at the end of the season. which of the following justifies why she uses the mean instead of the median?
A. the mean and median give the same information, so it doesn't matter which one she chooses.
B. she wants to take unusually good or bad games into account
C. she wants to remove unusually good and bad games from consideration.
Answer:
B lol
Step-by-step explanation:
don't ask me
The coach uses the mean to track player scores because it incorporates all scores, including unusually high or low ones, giving credit for exceptional performances. The median would only consider the middle score and discard extremes.
Explanation:The basketball coach uses the mean instead of the median to keep track of points scored per game for all her players because she wants to take unusually good or bad games into account (option B). The mean is calculated by adding up all the scores and dividing by the total number of games, so each game's score has a direct impact on the result. In contrast, the median only considers the middle score and discards extreme values, making it less sensitive to unusually high or low scores.
For instance, if a player scores 30 points in one game and then 10 points in each of the next nine games, their mean score would be (30 + 9*10)/10 = 13 points per game. In contrast, their median score would be 10 points per game because that's the middle value when all scores are listed in numerical order. Therefore, the choice to use the mean allows the coach to give credit for exceptional performances.
Learn more about Mean vs Median here:https://brainly.com/question/31609872
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A triangle has sides with lengths of 60 centimeters, 63 centimeters, and 87 centimeters. Is it a right triangle
Since the given lengths satisfied the Pythagorean theorem then the given triangle is a right angled triangle.
Use the concept of the triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
And the Pythagoras theorem for a right angled triangle is also defined as:
(Hypotenuse)²= (Perpendicular)² + (Base)²
The given length of sides are:
60 centimeters, 63 centimeters, and 87 centimeters.
Now take,
Hypotenuse = 87 cm
Base = 63 cm
Perpendicular = 60 cm
Apply the Pythagorean theorem,
87² = 60² + 63²
Calculating it,
7569 = 7569
Since the given sides satisfied the Pythagorean theorem,
Hence,
The triangle is a right angled triangle.
Learn more about the triangle visit;
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73×34=73×(30+4)=(73×)+(73×)=
What is the perimeter of a parallelogram measuring 5 ft. x 9 ft.?
peggy is five years older than peter and susan is two years younger than peter the sum of their ages is 15 years how old is each child
Peter is 4 years old, Peggy is 9 years old, and Susan is 2 years old.
Let's denote Peter's age as ( P ) years. Based on the given information:
1. Peggy is five years older than Peter, so Peggy's age is ( P + 5 ) years.
2. Susan is two years younger than Peter, so Susan's age is ( P - 2 ) years.
The sum of their ages is given as 15 years:
[tex]\[ P + (P + 5) + (P - 2) = 15 \][/tex]
Now, simplify and solve for \( P \):
[tex]\[ 3P + 3 = 15 \]\[ 3P = 12 \]\[ P = 4 \][/tex]
So, Peter is 4 years old. Using this information, we can find Peggy's age[tex](\( P + 5 \)) and Susan's age (\( P - 2 \)):[/tex]
- Peggy: ( 4 + 5 = 9 ) years old
- Susan: ( 4 - 2 = 2 ) years old
Therefore, Peter is 4 years old, Peggy is 9 years old, and Susan is 2 years old.
Please answer asap 1 thru 6 please
HEEEEEEEEEEEEEEEEEELP!!!!!!!!
please explain how to get to the answers ASAP
Can somebody pls help I’ll mark brainliest
Answer:
[tex]8^2=8\times 8=64[/tex]
Step-by-step explanation:
We have been given a number. We are asked to find the square of our given number.
We know that the square means a quantity multiplied by itself. When a number (a) is multiplied by itself, we can write that number by raising to second power as: [tex]a\times a=a^2[/tex]
Since we need to find the square of 8, so we can write it as:
[tex]8\times 8=8^2[/tex]
[tex]64=8^2[/tex]
Therefore, the square of 8 is 64.
Quadrilateral ABCD is inscribed in this circle.
What is the measure of ∠A ?
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Can the sides of a triangle have lengths 41, 37, and 19?