Answer:
Color in 2 columns of blocks
Step-by-step explanation:
The question is telling you to shade 2/5 of the shape. The given shape is divided into 4 rows and 5 columns(vertical rows). Therefore, it will be easiest to go by columns.
If the shape is divided into 5 columns and you need to shade in 2/5 of the shape, then that means you need to shade in 2 columns of the shape.
your group fundraiser has a goal of $75 to pay for a new piece of equipment. you are selling pencils () for $0.50 and bracelets () for $1.00.
To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.
To reach your fundraising goal of $75, you can sell pencils for $0.50 and bracelets for $1.00.
1. Calculate the total amount of money needed to reach the goal:
Goal amount = $75
2. Determine the number of pencils and bracelets you need to sell to reach the goal:
Let's assume you sell x number of pencils and y number of bracelets.
The amount raised from selling pencils = x * $0.50
The amount raised from selling bracelets = y * $1.00
The total amount raised from both items should be equal to the goal amount:
x * $0.50 + y * $1.00 = $75
3. Simplify the equation:
0.50x + 1.00y = 75
4. Solve for one variable in terms of the other:
Let's solve for x in terms of y:
0.50x = 75 - 1.00y
x = (75 - 1.00y) / 0.50
5. Substitute the value of x into the equation:
(75 - 1.00y) / 0.50 * 0.50 + y * $1.00 = $75
75 - 2y + y = 75
-y = 0
y = 0
6. Find the value of x:
x = (75 - 1.00 * 0) / 0.50
x = 75 / 0.50
x = 150
To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.
To know more about fundraising goal visit:
https://brainly.com/question/28324495
#SPJ11
7. A frying pan can hold 2 dozen wantons at a time.
It takes 5 minutes to fry 2 dozen wantons. How
long will it take to fry 40 dozens wantons
Answer:
100 minutes
Step-by-step explanation:
This is because it takes 5 minutes to fry 24 wantons, so we can write 5/24. Now we need to find out how long it takes to fry 40 dozen wantons, or 480 wantons. We can rewrite this as x/480. Since the time should be proportional, we get the following:
5/24 = x/480
We can now cross multiply. 24x=5x480. Therefore, 24x = 2400. If we divided each side by 24, we would get 100. Therefore, it takes 100 minutes to fry 40 dozen wantons, or about 1 2/3 hours.
Answer:
100 minutes (1 hour & 40 minutes).
Step-by-step explanation:
5 minutes = 2 dozen, which means it takes 2.5 minutes to cook 1 dozen.
2.5 minutes x 40 dozen = 100 minutes...
3) A moving target at a police academy target range can be hit 88% of the time by a particular individual. Suppose that as part of a training exercise, eight shots are taken at a moving target. a) What 3 characteristics of this scenario indicate that you are working with Bernoulli trials? b) What is the probability of hitting the 6
th
target (Hint: think of this as a single trial)? c) What is the probability that the first time hitting the target is not until the 4 th shot?
a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b. The probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c. Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:
The experiment consists of a fixed number of trials (eight shots).
Each trial (shot) has two possible outcomes: hitting the target or missing the target.
The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
P(X = k) is the probability of getting exactly k successes,
C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,
p is the probability of success in a single trial, and
n is the total number of trials.
In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.
P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)
The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:
P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.
Learn more about probability from
https://brainly.com/question/30390037
#SPJ11
can anyone pls help me in math<3
Answer:
Third number is 12
Step-by-step explanation:
Let \(\displaystyle \large{d}\) be common difference & \(\displaystyle \large{x}\) be the third number. Set up the following equations:
\(\displaystyle \large{x-2d=-2 \to (1)}\\\\\displaystyle \large{x+2d=26 \to (2)}\)
Solve the simultaneous equation for x-term:
\(\displaystyle \large{2x=24}\\\\\displaystyle \large{x=12}\)
Let’s make sure that we get accurately answer. Substitute x = 12 in any equations which I’ll choose (1):
\(\displaystyle \large{12-2d=-2}\\\\\displaystyle \large{-2d=-14}\\\\\displaystyle \large{d=7}\)
Now add each terms with common difference as 7:
-2+7 = 5
5+7 = 12
12+7 = 19
19+7 = 26
So our pattern is -2, 5, 12, 19, 26. Since the question only asks for third number then the answer is 12
In a half hour, Sarah is meeting her friends at the lake, 6 miles from her house. At what average speed must
she ride her bike to get there on time?
Answer:
Divide 6 miles by 0.5 hour: 6/0.5 = 12 miles per hour.
Step-by-step explanation:
The average speed must she rides her bike to get there on time will be 12 miles per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
In a half-hour, Sarah is meeting her friends at the lake, 6 miles from her house.
The average speed must she rides her bike to get there on time will be
S = 6 / (1/2)
S = 6 x 2
S = 12 miles per hour
The average speed must she rides her bike to get there on time will be 12 miles per hour.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s. Which solution can be eliminated and why?
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.
the solution to be eliminated is -0.2s this is because time do not have negative values
What is a quadratic equation?ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.
It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.
Considering the given function, the answer is both real one is negative the other is positive.
The solution in this case represents time, and time of negative value do not apply in real life
Learn more about quadratic equation at:
https://brainly.com/question/1214333
#SPJ1
The question is above please help
Answer:
i believe it's C i may be wrong
Step-by-step explanation:
the average height of a certain age group of children is 53 inches. the standard deviation is 4 inches. if the variable is normally distributed, find the probability that a selected individual's height will be less than 45 inches.
The probability that a selected individual's height will be less than 45 inches is approximately 0.0228.
We can use the normal distribution to find the probability that a selected individual's height will be less than 45 inches. We'll need to first calculate the z-score for a height of 45 inches, and then use a standard normal distribution table or calculator to find the corresponding probability.
The formula for calculating the z-score is:
z = (x - μ) / σ
Where x is the height we're interested in, μ is the population mean (given as 53 inches), and σ is the population standard deviation (given as 4 inches).
Plugging in the values, we get:
z = (45 - 53) / 4 = -2
Now, we can use a standard normal distribution table or calculator to find the probability of a z-score less than -2. Using a table, we find that the probability is approximately 0.0228.
Learn more about probability
https://brainly.com/question/30034780
#SPJ4
HELP ASAP!! PLEASE SHOW STEPS!!!
\(\frac{(4 · 10^{-5}) + ( 2 · 10^{-5} }{(3 · 10^{7}) }\)
I assume you just have to simplify the expression.
\(\dfrac{(4\times 10^{-5}) + (2 \times 10^{-5})}{3\times10^7} = \dfrac{6\times10^{-5}}{3\times10^7} = \boxed{2\times 10^2}\)
Which table represents a liner function
Do you have the tables so I can help
Which equation represents a linear function?
y = 4x³ + 1
y = x²
y = 2x +4
y = 2x² - 5
6x+8=x-2 what is the answer to this
Answer:
x= -2
Step-by-step explanation:
6x+8=x-2
6x-x= -2-8
5x= -10
x= -10/5
x= -2
some students took an optional training class before their driving test. 28/75 took the optional class and passed their drivers test. 8/15 passed their drivers test. 3/5 took the optional class. How many students took the optional class, given he or she passed?
Approximately 17 students who took the optional class passed their driver's test.
Let's solve this problem step by step.
We are given the following information:
28 out of 75 students who took the optional class passed their driver's test.
8 out of 15 students overall passed their driver's test.
3 out of 5 students took the optional class.
To find the number of students who took the optional class and passed, we need to calculate the intersection of these two groups.
First, let's calculate the total number of students who took the optional class:
Total students who took the optional class = (3/5) \(\times\) Total number of students
Total students who took the optional class = (3/5) \(\times\) 75 = 45
Now, let's calculate the total number of students who passed their driver's test:
Total students who passed their driver's test = (8/15) \(\times\) Total number of students
Total students who passed their driver's test = (8/15) \(\times\) 75 = 40
Next, let's find the number of students who both took the optional class and passed their driver's test.
This can be found by taking the intersection of the two groups:
Number of students who took the optional class and passed = (28/75) \(\times\)Total students who took the optional class
Number of students who took the optional class and passed = (28/75) \(\times\)45 = 16.8 (approximated to the nearest whole number).
Therefore, approximately 17 students who took the optional class passed their driver's test.
It's important to note that since we're dealing with whole numbers, the approximated answer is 17, as we cannot have a fraction of a student.
For similar question on intersection.
https://brainly.com/question/30915785
#SPJ8
Which one of the following statements is not true concerning PivotTables in Excel? O a. PivotTables are also known as crosstabulation tables. b. PivotTables summarize data for two variables. c.PivotTables can be built using data arrayed in rows. d. PivotTables are interactive.
The statement that is not true concerning PivotTables in Excel is b. PivotTables summarize data for two variables. PivotTables can summarize data for multiple variables, not just two.
PivotTables allow you to analyze and summarize data from various perspectives, including multiple variables, by grouping, filtering, and calculating values based on different criteria. They provide flexibility in summarizing and organizing data in a tabular format, making it easier to extract insights and perform data analysis efficiently.
To know more about Pivot table, visit:
https://brainly.com/question/29817099
#SPJ11
Please help due today
Answer:
Step-by-step explanation:
the product of five less than x and 7
Answer:
7x - 5 =
Step-by-step explanation:
Translate into a variable expression and then simplify.
:)
Answer:
7 (x-5)
Step-by-step explanation:
The product of five less than x and 7
Converting this statement to equation:
Five less than x = x - 5
Product of five less than x and 7
= 7(five less than x)
= 7(x - 5)
what is 50 approximately equal to
Answer:
50 lol
Step-by-step explanation:
can I please have brainliest I only need 2 more :)
How do you find the third side of an inequality of a triangle?
To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.
This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.
Learn more about Triangle Inequality Theorem here:
https://brainly.com/question/1163433
#SPJ4
6. what are the two most generic and widely used valuation multiples?
The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.
1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.
A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.
2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).
The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.
The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.
Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.
To know more about valuation methods refer here:
https://brainly.com/question/30478023#
#SPJ11
Brian purchased a pizza and shared 34 of the pizza with his friends. Each friend received 1/4 of the pizza. With how many friends did Brian share
his pizza? Be sure to show your answer in simplest form
Answer:
3 friends ( unless u mean 3/4 instead of 34 then its 2 friends)
Step-by-step explanation:
Dalvin has a toy car collection of 200 toy cars. He keeps 194 of the toy cars on his wall. What percentage of Dalvin's toy car collection does he keep on his wall?
Answer:
97
Step-by-step explanation:
What additional information is needed to prove the triangles are congruent by side-angle-side?
The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.
In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .
What is Side-Angle-Side Congruence ?
The Two Triangles can be called as Congruent by Side-Angle-Side rule if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .
In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.
The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and
the angles between these two sides of the triangle must be equal.
So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove that they are equal.
Learn more about Congruency here
https://brainly.com/question/29288158
#SPJ4
Choose the model that shows the correct answer to this problem:
6/8
9/12
3/4
3/12
Answer:
1/3 x 3/4
Step-by-step explanation:
in this case, 3/4 is correct because it is 3 of 4 shaded.
hope this helps!
Hii! Its your friend Nat! :)
Known: 3/4 of the model is shaded, we are multiplying.
The model repersents 3/4
This is because only 3 out of 4 pieces are shaded in.
If all pieces were shaded it would be 4/4 or 1 whole.
1/3 x 3/4 is 3/12
3/12 simplifed is 1/4
Hope dis helps!
Brainliest?
~Learning with Natalia~
Sao can text 1500 words per hour. He needs to text a message with 85 words. He only has 5 minutes between classes to complete the text. Can he do it in 5 minutes?
I REALLY NEED THIS ANSWER ASAP !!!
Find the measure of ZP
A) 39
B) 80°
C) 85
D)90°
Answer:
hope this helps..........
You are given a 4-sided die with each of its four sides showing a different number of dots from 1 to 4. When rolled, we assume that each value is equally likely. Suppose that you roll the die twice in a row. (a) Specify the underlying probability space (12,F,P) in order to describe the corresponding random experiment (make sure that the two rolls are independent!). (b) Specify two independent random variables X1 and X2 (Show that they are actually inde- pendent!) Let X represent the maximum value from the two rolls. (c) Specify X as random variable defined on the sample space 1 onto a properly determined state space Sx CR. (d) Compute the probability mass function px of X. (e) Compute the cumulative distribution function Fx of X.
(a) Ω = {1, 2, 3, 4} × {1, 2, 3, 4}, F = power set of Ω, P assigns equal probability (1/16) to each outcome.
(b) X1 and X2 represent the values of the first and second rolls, respectively.
(c) X is the random variable defined as the maximum value from the two rolls, with state space Sx = {1, 2, 3, 4}.
(d) pX(1) = 1/16, pX(2) = 3/16, pX(3) = 5/16, pX(4) = 7/16.
(e) The cumulative distribution function Fx of X:
Fx(1) = 1/16, Fx(2) = 1/4, Fx(3) = 9/16, Fx(4) = 1.
(a) The underlying probability space (Ω, F, P) for the random experiment can be specified as follows:
- Sample space Ω: {1, 2, 3, 4} × {1, 2, 3, 4} (all possible outcomes of the two rolls)
- Event space F: The set of all possible subsets of Ω (power set of Ω), representing all possible events
- Probability measure P: Assumes each outcome in Ω is equally likely, so P assigns equal probability to each outcome.
Since the two rolls are assumed to be independent, the joint probability of any two outcomes is the product of their individual probabilities. Therefore, P({i} × {j}) = P({i}) × P({j}) = 1/16 for all i, j ∈ {1, 2, 3, 4}.
(b) Two independent random variables X1 and X2 can be defined as follows:
- X1: The value of the first roll
- X2: The value of the second roll
These random variables are independent because the outcome of the first roll does not affect the outcome of the second roll.
(c) The random variable X can be defined as follows:
- X: The maximum value from the two rolls, i.e., X = max(X1, X2)
The state space Sx for X can be determined as Sx = {1, 2, 3, 4} (the maximum value can range from 1 to 4).
(d) The probability mass function px of X can be computed as follows:
- pX(1) = P(X = 1) = P(X1 = 1 and X2 = 1) = 1/16
- pX(2) = P(X = 2) = P(X1 = 2 and X2 = 2) + P(X1 = 2 and X2 = 1) + P(X1 = 1 and X2 = 2) = 1/16 + 1/16 + 1/16 = 3/16
- pX(3) = P(X = 3) = P(X1 = 3 and X2 = 3) + P(X1 = 3 and X2 = 1) + P(X1 = 1 and X2 = 3) + P(X1 = 3 and X2 = 2) + P(X1 = 2 and X2 = 3) = 1/16 + 1/16 + 1/16 + 1/16 + 1/16 = 5/16
- pX(4) = P(X = 4) = P(X1 = 4 and X2 = 4) + P(X1 = 4 and X2 = 1) + P(X1 = 1 and X2 = 4) + P(X1 = 4 and X2 = 2) + P(X1 = 2 and X2 = 4) + P(X1 = 3 and X2 = 4) + P(X1 = 4 and X2 = 3) = 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 = 7/16
(e) The cumulative distribution function Fx of X can be computed as follows:
- Fx(1) = P(X ≤ 1) = pX(1) = 1/16
- Fx(2) = P(X ≤ 2) = pX(1) + pX(2) = 1/16 + 3/16 = 4/16 = 1/4
- Fx(3) = P(X ≤ 3) = pX(1) + pX(2) + pX(3) = 1/16 + 3/16 + 5/16 = 9/16
- Fx(4) = P(X ≤ 4) = pX(1) + pX(2) + pX(3) + pX(4) = 1/16 + 3/16 + 5/16 + 7/16 = 16/16 = 1
To know more about probability, refer here:
https://brainly.com/question/28259612
#SPJ4
Please check the attached picture, please answer thoroughly!
The selection depends on individual needs, preferences, and the intended use of the tiny house.
a) To find the amount of space inside each house, we need to calculate the volume for each design.
House on the left:
Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³
Triangular house:
Volume of a triangular prism = (base area x height) / 2
Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²
Volume = (20 m² x 7 m) / 2 = 70 m³
b) When comparing the environmental impacts of each house, several factors need to be considered:
Positive impacts:
1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.
2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.
3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.
Negative impacts:
1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.
2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.
3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.
c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:
The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.
The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.
Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.
for more such question on intended visit
https://brainly.com/question/31252264
#SPJ8
Two players take turns removing a ball from a jar that initially contains m white and n black balls. The rst player to remove a white ball wins. Find the probability that the starting player wins.
½×½ which will be ¼
Step-by-step explanation:
because
Probability that the starting player wins:
\(P_{n} =\) m /n + m + n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)
Let us say that the probability that the first player wins is \(P_{n}\). Then this can be happen in two ways:
If the first player wins in the first move which has a probability: m /n + m
If the first player wins after the second move which has a probability :
n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)
Therefore by the law of probability,
\(P_{n} =\) m /n + m + n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)
This will allow us to find out the probability of first player winning the game recursively.
Know more about probability,
https://brainly.com/question/31828911
#SPJ2
Match the following equations with their direction field. Clicking on each picture will give you an enlarged view. While you can probably solve this problem by guessing, it is useful to try to predict characteristics of the direction field and then match them to the picture. Here are some handy characteristics to start with -- you will develop more as you practice.
A. Setyequal to zero and look at how the derivative behaves along thex-axis.
B. Do the same for they-axis by settingxequal to0
C. Consider the curve in the plane defined by settingy'=0-- this should correspond to the points in the picture where the slope is zero.
D. Settingy'equal to a constant other than zero gives the curve of points where the slope is that constant. These are called isoclines, and can be used to construct the direction field picture by hand.
By using these characteristics, you can analyze each equation and compare the properties with the given direction field pictures. This will help you in matching the equations with their respective direction field more accurately and effectively.
To match the equations with their direction field, follow these steps:
Set y equal to zero and observe the behavior of the derivative along the x-axis.
Set x equal to zero and observe the behavior of the derivative along the y-axis.
Consider the curve in the plane defined by setting y'=0. This corresponds to the points in the picture where the slope is zero.
Set y' equal to a constant other than zero to find the curve of points where the slope is that constant. These are called isoclines and can be used to construct the direction field picture by hand.
for more questions on equations
https://brainly.com/question/22688504
#SPJ11
Erik set a goal to sell 900 cars this year. He sells 30 cars in January, 38 in February, and 46 in March. If Erik keeps this pattern, will he reach his goal?
Answer: no
Step-by-step explanation:
Based on the information provided, it appears that Erik is increasing the number of cars he sells each month by 8. If he continues this pattern, he will sell 54 cars in April, 62 in May, and so on. By December, he will have sold a total of 678 cars (30 + 38 + 46 + … + 126), which is less than his goal of 900 cars. So no, if Erik keeps this pattern, he will not reach his goal.Based on the information provided, it appears that Erik is increasing the number of cars he sells each month by 8. If he continues this pattern, he will sell 54 cars in April, 62 in May, and so on. By December, he will have sold a total of 678 cars (30 + 38 + 46 + … + 126), which is less than his goal of 900 cars. So no, if Erik keeps this pattern, he will not reach his goal.