In exactly one year, how many mice would there be at school? EXPLAIN FULLY AND SHOW ALL WORK:Equation: Y=a(4)^xWhere:a is the initial value (when the generation = 0)x is the generation.
Answers
We know that each generation takes approximately 3 weeks, then, we can estimate how many generations we do have in one year, remember that one year has
\(1\text{ year }\approx52.14286\text{ weeks}\)Then, in one year we have
\(\frac{52.14286}{3}=17.383\text{ generations}\)In the real world, we can't have half of a generation or a decimal generation, then, let's approximate it to the nearest integer, in that case, 17 generations.
We have the expression that predicts the number of mice, then we can use that equation to find the result for 17 generations:
\(\begin{gathered} \text{ Initial Mice:} \\ f(x)=2\cdot4^x \end{gathered}\)Evaluate that at x = 17
\(\begin{gathered} \text{ Initial Mice} \\ f(x)=2\cdot4^x\Rightarrow f(17)=2\cdot4^{17}\Rightarrow3.44×10^{10} \end{gathered}\)With an offspring of
\(\begin{gathered} \text{ Offspring} \\ f(x)=6\cdot4^x\Rightarrow f(17)=6\cdot4^{17}=1.03×10^{11} \end{gathered}\)And the ending mice
\(\begin{gathered} \text{ Ending Mice} \\ f(x)=8\cdot4^x\Rightarrow f(17)=8\cdot4^{17}=1.37×10^{11} \end{gathered}\)Therefore, the final answer is
\(\text{ Ending mice = }1.37\times10^{11}\)Related Questions
PLEASE HELP WILL GIVE BRAINLIEST!
Tara spins the spinner and rolls a standard number cube. Find the probability that the spinner will stop on red and the cube will show a two. (see attached picture!)
(Please write answer as a fraction in it's simplest form!)
Answers
Answer:
spinner will stop on red: 1/3
cube will show a two: 1/6 of a chanes
19 POINTS evaluate the expression 2n, if n = 4
ANWSER:
o 8
o 6
o 24
o 2
Answers
Answer:
8
Step-by-step explanation:
2n
Let n =4
2*4
8
Answer:
8
Step-by-step explanation:
= 2 * 4 (we know that n = 4)
= 8
Hope this helps!
45% of the students in Primary 5 are boys. There are 165 girls. How many more girls than boys are there in primary 5?
Answers
Answer:
30 more
Step-by-step explanation:
hope it helps friend.
What are the Examples of Adding Fractions with Unlike Denominators
Answers
2/3 + 1/4 = 11/12
Fractions are very important in many areas such as math, physics, engineering, chemistry and many more, understanding how to add fractions with unlike denominators is a fundamental skill that will help you in many aspects of your life.
Adding fractions with unlike denominators can be a bit tricky, but with the right understanding and techniques, it's definitely doable.
When we add fractions with unlike denominators, we need to first find a common denominator. A common denominator is a number that is a multiple of both denominators. Once we have a common denominator, we can add the fractions as usual by adding the numerators and keeping the denominator the same.
Here are a few examples of adding fractions with unlike denominators:
2/3 + 1/4
We can find a common denominator by finding the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4 is 12.
So, we can convert 2/3 to 8/12 by multiplying the numerator and denominator by 4.
We can convert 1/4 to 3/12 by multiplying the numerator and denominator by 3.
Now we can add the fractions by adding the numerators: 8/12 + 3/12 =
1/5 + 2/7
We can find a common denominator by finding the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35.
So, we can convert 1/5 to 7/35 by multiplying the numerator and denominator by 7.
We can convert 2/7 to 10/35 by multiplying the numerator and denominator by 5.
So, we can convert 3/4 to 9/12 by multiplying the numerator and denominator by 3.
We can convert 1/3 to 4/12 by multiplying the numerator and denominator by 4.
Now we can add the fractions by adding the numerators: 9/12 + 4/12 = 13/12
So, 3/4 + 1/3 = 13/12
It's important to note that when adding fractions, it's also important to simplify the final result if possible.
To know more about FRACTIONS refer here
brainly.com/question/10354322#
#SPJ11
What is the solution of 64 x 64 to the power of 2?
Answers
Answer:
16777216
Step-by-step explanation:
64 times 64 equals 4096. 4096 to the power of 2 is 16777216.
please help me i need this ASAP
Answers
Answer:
30 because of vertical angles.
Answer:
It is 30
Step-by-step explanation:
Hope this helps have an amazing day/month/year!
The idea of a rule that assigns outputs to inputs is very abstract. These rules often come in the
form of tables, but can also come in the form of equations, graphs, and ordered pairs.
Exercise #2: In the function below, the variable y is a function of the variable x:
y = x2 +10
Give the outputs for each of the following inputs. Show how you found your answers.
(a) x = 3
(b) x = -5
(c) x = 0
y = 5x - 3
Answers
High school graduation is around the corner and you suddenly realize that
having a little extra cash in the bank wouldn’t be such a bad idea. Time
to start that side hustle you've been thinking about. Here are the details
of your plan.
-
You’ve decided to make and sell your own secret recipe of hand soap.
-
The one-time start up costs for you to start making soap casts you $30.00
-
Each bottle of soap costs you $1.50 to make.
-
You well each bottle of soap for $3.50
Create and solve a system of equations that will tell you the number of
soaps you must make in order to break even. Breaking even means that
your total
cost and your total earnings are equal. Define your variables.
1.
How many bottles of soap do you have to sell for your business to break
even?
Answers
You have to sell 15 bottles of soap for your business to break even. To determine the break-even point, we need to create a system of equations using the given information.
Variables:
Let x be the number of bottles of soap made and sold.
Equations:
Total cost = start up cost + cost per bottle * number of bottles
Total earnings = price per bottle * number of bottles
Setting these two equal to each other:
30 + 1.5x = 3.5x
Solving for x:
30 = 2x
x = 15
You would need to make and sell 15 bottles of soap to break even.
To determine the break-even point, we need to create a system of equations using the given information. Let's define our variables:
- Let x be the number of bottles of soap made and sold.
- Total cost (C) consists of the one-time startup cost and the cost to make each bottle of soap.
- Total earnings (E) is the amount earned from selling each bottle of soap.
Now, let's set up our equations:
1. C = $30 + $1.50x
2. E = $3.50x
To break even, total cost (C) must be equal to total earnings (E):
$30 + $1.50x = $3.50x
Now, solve for x:
$3.50x - $1.50x = $30
$2.00x = $30
x = 15
You have to sell 15 bottles of soap for your business to break even.
To know more about Variables visit:
https://brainly.com/question/17344045
#SPJ11
(08.05, 08.06 MC)
Part A: The area of a square is (16x2 - 8x + 1) square units. Determine the length of each side of th
square by factoring the area expression completely. Show your work. (5 points)
Answers
A=16x²-8x+1
16x²-8x+1=l²
(16x²-4x)-(4x+1)=l²
4x(4x-1)-1(4x-1)=l²
x=1/4 or 1
Therefore
since x=1/4
l²=1/4=>l=>√(1/4)
l=1/2
since x=1
l²=1=>l=>√1
l=1
Therefore the length of each sides
1 or 1/2
a 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter. a) true b) false
Answers
The given statement is true. A 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter.
A 97% confidence interval is a range of values that you can be 97% certain contains the true mean of the population. This is not the same as a range that contains 97% of the values.
It means that repeated samples of the same sample size will produce confidence intervals such that 97% of the intervals will contain the true but unknown parameter prior to drawing the sample. This is called the initial precision of the confidence interval.
Confidence intervals:
Confidence interval computes the range in which the true value lies with a specified confidence level and is generally denoted by a small c.
Therefore we get that a 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter.
To know more about the confidence intervals refer to the link given below:
https://brainly.com/question/2141785
#SPJ4
we know the sample size is 90. for what sample proportion would the p-value be equal to 0.05? assume that all conditions necessary for inference are satisfied.
Answers
The sample proportion would be 0.5.we can calculate the proportion by plugging in n = 90, which yields a proportion of 0.5.
To determine what sample proportion would yield a p-value of 0.05, we must first understand the formula for calculating a p-value. The formula for a p-value is p-value = 1 - \((1 - proportion)^n\), where n is the sample size. By manipulating this equation, we can solve for the proportion when the p-value is equal to 0.05. We can isolate the proportion by taking the inverse of both sides of the equation, which yields: proportion = 1 - \((1 - 0.05)^(1/n)\). Since the sample size is 90, we can calculate the proportion by plugging in n = 90, which yields a proportion of 0.5.
Learn more about sample here
https://brainly.com/question/25894237
#SPJ1
Help!?! Please 3 3/4 - 7/8= what!!
Answers
Answer:
2 7/8
Step-by-step explanation:
Answer:
2 7/8
Step-by-step explanation:
You earn $20 for washing 5 cars how much do you earn for washing 2 cars
Answers
Answer:
$8
Step-by-step explanation:
First we have to see how much you are paid per car. To do this we divide the money earned ($20), by the number of cars washed (5).
20÷5=4
This tells us you earn $4 per car. So, to find the amount you would earn buy washing 2 cars, you multiply the money earned per car by 2.
4·2=8
This means you would earn $8.
Would you please mark my answer brainliest if it helped you? :D
PLSSS HELP IF YOU TRULY KNOW THISSS
Answers
Answer: 1/50
Step-by-step explanation:
Step 1: We need to multiply the numerator and denominator by 100 since there are 2 digits after the decimal.
0.02 = (0.02 × 100) / 100
= 2 / 100 [ since 0.02 × 100 = 2 ]
Step 2: Reduce the obtained fraction to the lowest term
Since 2 is the common factor of 2 and 100 so we divide both the numerator and denominator by 2.
2/100 = (2 ÷ 2) / (100 ÷ 2) = 1/50
Achley Company began the year with owner's equity of 5175000 . During the year, the company recoeded cevenues of $225,000, esgenses of $165,000, and had owner dowings of 550.000. What was Aaivey Comphny's owner's engiety at the end of the year?
Answers
At the end of the year, Achley Company's owner's equity is $4,685,000 and can be calculated by starting with the beginning owner's equity, adding the revenues, subtracting the expenses, and subtracting the owner's withdrawals.
To calculate Achley Company's owner's equity at the end of the year, we start with the beginning owner's equity of $5,175,000. We then add the revenues of $225,000 and subtract the expenses of $165,000. This gives us the net income, which is the difference between revenues and expenses, and represents the increase in owner's equity.
So, net income = revenues - expenses = $225,000 - $165,000 = $60,000. Next, we subtract the owner's withdrawals of $550,000 from the net income. Owner's withdrawals are personal expenses or cash withdrawals made by the owner and reduce the owner's equity.
Owner's equity at the end of the year = Beginning owner's equity + Net income - Owner's withdrawals.Owner's equity at the end of the year = $5,175,000 + $60,000 - $550,000. Calculating the above expression, we find that Achley Company's owner's equity at the end of the year is $4,685,000.
Learn more about revenue here:
https://brainly.com/question/25551247
#SPJ11
consider the function f ( x ) = 2x^3 − 21x^2 − 48x + 11 , − 4 ≤ x ≤ 17 .
Answers
A function is a mathematical rule that relates an input (x) to an output (f(x)).
In this case, the function f(x) is given by the formula
f(x) = 2x³− 21x²− 48x + 11. The function is defined for all values of x between -4 and 17. This means that if you plug any number between -4 and 17 into the formula, you will get a corresponding output value.
However, in general, functions can represent all sorts of real-world phenomena, such as distance traveled over time, the amount of money in a bank account over time, or the temperature of a room over time. In the case of this particular function, it may be useful in modeling some phenomenon, but without more information, it's impossible to say what that phenomenon might be.
To know more about function visit:--
https://brainly.com/question/11624077
##SPJ11
Which expression is equivalent to the given expression?
150
Answers
Answer:Answer is 5 Square root 6
Step-by-step explanation: Did it I'm smart UwU
a school dance committee is made up of 3 freshman, 5 sophomores, 2 juniors, and 2 seniors. how many ways are there to sit the committee in a row at a meeting if the students must sit together by grade?
Answers
There are 6,720 possible ways to arrange the committee in a row, with students grouped by grade.
2 seniors * 5 sophomores * 3 freshman * 2 juniors = 60
60 possible arrangements for the 4 grade levels
60 * 6 (the number of ways to arrange 6 people) = 360
360 * 6 (the number of ways to arrange 6 people) = 2160
2160 * 6 (the number of ways to arrange 6 people) = 12,960
12,960 / 2 (because the order of the two grade levels can be reversed) = 6,720
6,720 possible arrangements for the school dance committee.
The school dance committee is made up of 3 freshman, 5 sophomores, 2 juniors, and 2 seniors. To find out how many ways there are to sit the committee in a row at a meeting if the students must sit together by grade, we first need to calculate the number of possible arrangements for each grade level. Since there are 2 seniors, 5 sophomores, 3 freshman, and 2 juniors, there are 60 possible arrangements for the 4 grade levels. We then multiply this by 6, since there are 6 ways to arrange 6 people. This gives us 360 possible arrangements for the first two grade levels. We then multiply this number by 6 again, since there are 6 ways to arrange 6 people. This gives us 2160 possible arrangements for the first three grade levels. We multiply this number by 6 one more time, since there are 6 ways to arrange 6 people. This gives us 12,960 possible arrangements for all four grade levels. However, since the order of the two grade levels can be reversed, we must divide this number by 2. This gives us a total of 6,720 possible arrangements for the school dance committee.
Learn more about grade here
https://brainly.com/question/29618342
#SPJ4
write the necessary preprocessor directive to enable the use of functions like sqrt and sin.
Answers
The necessary preprocessor directive to enable the use of functions like sqrt and sin
#include <math.h>
What is a preprocessor directive?Generally, A preprocessor directive is a command that is processed by the preprocessor in a programming language before the actual compilation of the source code begins.
Preprocessor directives are used to give instructions to the preprocessor, which is a program that performs text substitution on
Read more about preprocessor directive
https://brainly.com/question/28072239
#SPJ1
Please help me with this math problem!! Will give brainliest!! :D
Answers
The probability of winning a prize worth more than the price of playing the game is 38%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of samples
Given that the percentage of the winning price is:-
Toy = 25%
Soda = 25%
Candy = 37%
Mega win = 13%
The probability of winning a prize worth more than the price of playing the game is calculated as:-
P = ( 25 + 13 ) x 100 / 100
P = 0.38 x 100
P = 38%
Therefore, the probability will be 38%.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ1
Please, let me get the answers in 15 mins. Explain what a
strategy canvas is and how it is used
Answers
A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.
It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.
The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.
The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.
To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.
A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.
Learn more about differentiating here:
https://brainly.com/question/24898810
#SPJ11
Question 7: Luna has consumed 900 calories so far today. She has also burned 500 calories in dance class. She wants to keep her daily calorie total to 1,500 calories per day. How many calories does she have left to consume for the day? Is 1,200 a viable solution to this problem?
No; 1,200 is more than the 500 she burned dancing.
No; 1,200 will cause her to exceed 1,500.
Yes; 1,200 is less than 1,500.
Yes; 1,100 is less than 1,500.
Answers
1,200 is not a viable solution to this problem as B.
No; 1,200 will cause her to exceed 1,500
How to calculate the value?It should be noted that Luna has consumed 900 calories so far today and has also burned 500 calories in dance class.
Therefore, the amount left will be:
= 1500 - (900 - 500)
= 1500 - 400
= 1100
Therefore, 1,200 is not a viable solution to this problem
Learn more about calories on:
brainly.com/question/1178789
#SPJ1
The graph of the function above is shown below. Which of the following statements about f(x) is true? A. The function f(x) does not have an inverse because it never crosses the x-axis. B. The function f(x) has an inverse because it passes the horizontal line test. C. The function f(x) does not have an inverse because it does not pass the horizontal line test. D. The function f(x) has an inverse because it passes the vertical line test.
Answers
Answer:
The correct answer is b)
Step-by-step explanation:
96% as a fraction. plz help
Answers
Answer:
24/25
Step-by-step explanation:
96% as a fraction -
96/100
simplify -
24/25
HOPE IT HELPS :)
Binomial Probability Name Given the quiz below, answer questions a through e that follow. Be sure to round to 4 decimal places! a.) What is the probability of getting 3 right? b.) What is the probability of getting 4 wrong? c.) What is the probability of getting 4 right? d.) What is the probability of getting 1 wrong? e.) What is the probability of getting 2 right?
Answers
Binomial probability refers to the probability that the specific number of events will occur over some set number of trials. Given the quiz below, let us answer questions a through e as follows:
a.) Probability of getting 3 right The probability of getting 3 right can be calculated as follows;
P(X = 3)
= (10 C 3) (0.5)3(0.5)7 where 10 C 3 represents the number of ways we can choose 3 questions out of the 10,0.5 represents the probability of getting any one question right and (0.5)7 is the probability of getting the other seven questions wrong.
b.) Probability of getting 4 wrong The probability of getting 4 wrong can be calculated as follows:
P(X = 4) = (10 C 4) (0.5)4(0.5) 6where 10 C 4 represents the number of ways we can choose 4 questions out of the 10,0.5 represents the probability.
c.) Probability of getting 4 right The probability of getting 4 right can be calculated as follows:
P(X = 4) = (10 C 4) (0.5)4(0.5)6where 10 C 4 represents the number of ways we can choose 4 questions out of the 10,0.5 represents the probability of getting any one question right and (0.5)6 is the probability of getting the other six questions wrong.
d.) Probability of getting 1 wrong The probability of getting 1 wrong can be calculated as follows:
P(X = 1) = (10 C 1) (0.5)1(0.5)9where 10 C 1 represents the number of ways we can choose 1 questions out of the 10,0.5 represents the probability of getting any one question wrong and (0.5)9 is the probability of getting the other nine questions right.
e.) Probability of getting 2 right The probability of getting 2 right can be calculated as follows:
P(X = 2) = (10 C 2) (0.5)2(0.5)8where 10 C 2 represents the number of ways we can choose 2 questions out of the 10,0.5 represents the probability of getting any one question right and (0.5)8 is the probability of getting the other eight questions wrong.
To know more about probability visit:
https://brainly.com/question/31828911
#SPJ11
In order to calculate binomial probabilities, you need to know the number of trials, number of successes, and the probability of success per trial. The formula for binomial probability is: Binomial Probability = C(n, X) * (p^X) * (q^(n - X)), where n is the number of trials, X is the number of successes, p is the probability of success, and q is the probability of failure (1-p). To find the mean and standard deviation, you would use the following formulas: Mean(µ) = np and Standard Deviation(σ) = sqrt(npq).
Explanation:To calculate the binomial probability, one thing we need to consider is the number of trials, the probability of success and the number of successes we are seeking. In the question, it's not clearly indicated what's our probability of success for a single trial, the number of questions (trials) in the quiz, or the configuration of the quiz, so we can't compute the exact probabilities at this point.
However, I can show you the steps on how to calculate binomial probabilities after we have all necessary aspects. Binomial probability can be calculated using the formula:
Binomial Probability = C(n, X) * (p^X) * (q^(n - X))
C(n, X) is the binomial coefficient - a way to describe the number of combinations of 'n' that we are choosing 'X' at a time. It's calculated using the formula C(n, X) = n! / [X!(n - X)!].p is the probability of success.q is the probability of failure, and it equals (1 - p).n is the number of trials.X denotes the number of successes, in those different scenarios you mentioned.
For example, with a 70% chance of answering correctly (p = 0.7, q = 0.3), in a 5 question quiz (n = 5), finding the probability of getting 3 questions correct (X = 3) would look like:
Probability of getting 3 right = C(5, 3) * (0.7^3) * (0.3^2)
You would need to convert this to actual numbers. To find the average, or expected value (mean) and standard deviation, you can use following formulas: Mean(µ) = np and Standard Deviation(σ) = sqrt(npq).
Remember this is binomial probability, it is applied only when the trials are independent and there are just two outcomes - success or failure.
Learn more about Binomial Probability here:https://brainly.com/question/33993983
#SPJ12
Solve: 6x2 - x - 2 = 0
Answers
Answer:
Step-by-step explanation:
Step 1: Factor left side of the equation.
(3x−2)(2x+1)=0
Step 2: Set factors equal to 0.
3x−2=0 or 2x+1=0
\(x=\frac{2}{3} or x=\frac{-1}{2}\)
Job interview: Eight people, named Anna, Bob, Chandra, Darlene, Ed, Frank, Gina, and Hank, will be interviewed for a job. The interviewer will choose two at random to interview on the first day. What is the probability that Frank is interviewed first and Ed is interviewed second
Answers
Answer:
1/64 or 1.5625%
Step-by-step explanation:
To get to the answer shown above, we need to have a basic understanding of how probability works. Let's focus on the first part: "What is the probability that Frank is interviewed first" Since there are 8 people in the interview, that means that 8 people has to be in the denominator. Frank is one person and he represents 1/8th of the entire interviewees. So, the probability that he is chosen first is 1/8. Then, for the second part, we are also asked the probability of both frank being chosen first and Ed being chosen second. Ed is again only one person and thus has a 1/8 probability of being chosen. But, we are not done yet. We need to multiple the probabilities together because they have to happen simultaneously and in order. 1/8*1/8=1/64 or 1.5625%
O
8-1 & 8-2: MathXL Assignment
G
Dashboard | Khan...
X8.1.PS-7
Use a net to find the surface area of the cylinder. Use 3.14 for T.
The surface area of the cylinder is about cm².
(Round to the nearest tenth as needed.)
Review Progress
Enter your answer in the answer box and then click Check Answer.
All parts showing
000
Clear All
Question
1
0 Assignment is past due (04/11/23 3:2
of 15
Sign out
Question Help ☀
G
Check Answer
4 Back
(The figure is not to scale.)
May 16
2 cm
7 cm
Next >
6:21 0 USD
PLS Help
Answers
36π is the surface area of the given cylinder.
To find the surface area of a cylinder, you need to calculate the areas of the two circular bases and the lateral surface area.
The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
Given:
Height (h) = 7
Radius (r) = 2
First, let's calculate the area of each circular base:
Area of a circular base = πr²
Area of the top circular base = π(2²) = 4π
Area of the bottom circular base = π(2²) = 4π
Next, let's calculate the lateral surface area:
Lateral surface area = 2πrh
Lateral surface area = 2π(2)(7) = 28π
Now, we can find the total surface area by adding the areas of the bases and the lateral surface area:
Total Surface Area = Area of top base + Area of bottom base + Lateral surface area
Total Surface Area = 4π + 4π + 28π = 36π
Therefore, the surface area of the cylinder with a height of 7 and a radius of 2 is 36π.
Learn more about the Surface area here:
https://brainly.com/question/29298005
#SPJ1
The Dot plots below show the number of sales made by Jason and Shane at work over the past seven days. Which observation about the data sets is correct?
Answers
Jason's data distribution is symmetrical and shows no outliers; Shane's data distribution is uniform and shows no outliers also. Therefore, the correct observation about the data sets that is correct is: Option B.
Symmetrical and Uniform Data Distribution on a Dot PlotIf the data plotted on the dot plot shows a bell shape curve and can be divided into equal halves by a vertical line, the data distribution is symmetrical.When the data is spread equally across the range with no clear peaks, the data distribution is uniform.What are Outliers?
Outliers are values that are far from the middle and are entirely different from the rest of the data.
The dot plots for sales made by Jason and Shane are shown in the image attached below.
Jason's data distribution is symmetrical and shows no outliers; Shane's data distribution is uniform and shows no outliers also. Therefore, the correct observation about the data sets that is correct is: Option B.
Learn more about data distribution on:
https://brainly.com/question/24309209
A baseball is thrown into the air from a height of 5 feet. the ball reaches a maximum height of 43.5 feet and spends a total of 3.2 seconds in the air. which equation models the height of the baseball? assume that acceleration due to gravity is –16 ft/s2. h(t) = 16t2 49.64t 5 h(t) = -16t2 5t 49.64 h(t) = -16t2 49.64t 5 h(t) = 16t2 5t 49.64
Answers
The equation that models the height of the baseball is determined as H(t) = 5 + 49.64t -16(t)².
Maximum height reached by the base ball
The maximum height reached by the baseball is calculated as follows;
H = y₀ + v₀yt + ¹/₂gt²
Assuming negative direction for upward motion
H = y₀ + v₀yt - ¹/₂gt²
0 = y₀ + vt -16(t)²
0 = 5 + 3.2v - 16(3.2)²
0 = 5 + 3.2v - 163.84
3.2v = 158.84
v = 158.84/3.2
v = 49.64
Required equation modelH(t) = 5 + 49.64t -16(t)²
Learn more about maximum height here: https://brainly.com/question/12446886
#SPJ1
Answer:C?
Step-by-step explanation:
edge