The difference from part (b) is that Beth has a much higher initial wealth, so the negative expected value of the gamble has a smaller impact on her overall utility.
This is not a fair gamble because the expected value of the gamble is negative. The expected value of a gamble is calculated by multiplying the probability of each outcome by the value of that outcome and summing the results. In this case, the expected value is 0.4(-$100) = -$40. Since the expected value is negative, the gamble is not fair.
Anh will not join this gamble because her expected utility from the gamble is lower than her utility from her initial wealth. Her expected utility from the gamble is
0.4u(-$100) = 0.4v(-$100) = -40v.
Her utility from her initial wealth is
u($100) = v($100) = 100v.
Since -40v < 100v, her expected utility from the gamble is lower than her utility from her initial wealth, so she will not join the gamble.
Chris will not join this gamble because his expected utility from the gamble is lower than his utility from his initial wealth. His expected utility from the gamble is
0.4u(-$100) = 0.4e^(-100c) = -40e^(-100c).
His utility from his initial wealth is
u($0) = e^(0c) = 1.
Since -40e^(-100c) < 1, his expected utility from the gamble is lower than his utility from his initial wealth, so he will not join the gamble.
Beth will not join this gamble because her expected utility from the gamble is lower than her utility from her initial wealth. Her expected utility from the gamble is
0.4u(-$100) = 0.4v(-$100) = -40v.
Her utility from her initial wealth is
u($10000) = v($10000) = 10000v.
Since -40v < 10000v, her expected utility from the gamble is lower than her utility from her initial wealth, so she will not join the gamble.
To learn more about Expected value :
https://brainly.com/question/10675141
#SPJ11
The volume of a right cone is 2016\piπ units^3
3
. If its diameter measures 24 units, find its height.
The height of a right cone is 42 units.
What is the volume of a right cone?The area or volume occupied by a right circular cone is referred to as the right circular cone's volume. A three-dimensional solid object called a right circular cone has a pointed end on one side and a circle on the other. The vertex of the cone is another name for the sharp end. A cone with a right circular shape is one whose axis is parallel to the base plane.
Here, we have
Given: The volume of a right cone is 2016\piπ units^3. If its diameter measures 24 units
Height of the cone = Volume of a cone ÷ 1/3(πr²)
Where:
π = 22/7
r = radius = diameter / 2 = 24 / 2 = 12 units
h = height
2016π÷ (1/3 x π x 12²) = 42 units
Hence, the height of a right cone is 42 units.
To learn more about the right cone from the given link
https://brainly.com/question/28109167
#SPJ1
The area of a circle is 615.44 sq. inches. what is the diameter of the circle? use 3.14 for π.
The diameter of the circle is 28 inches.
The formula for the area of a circle is:
[tex]A = \pi r^2[/tex]
Where A is the area and r is the radius.
Any straight line segment that travels through the centre of a circle and has endpoints that are on the circle is said to have a diameter.
To find the diameter of the circle, we first need to find the radius. We can rearrange the formula for the area to solve for the radius:
[tex]r = \sqrt{ (A/\pi )}[/tex]
Plugging in the given values:
[tex]r = \sqrt{(615.44/3.14)} = 14[/tex]
So the radius of the circle is 14 inches. The diameter is twice the radius, so:
d = 2r = 2(14) = 28
Therefore, the diameter of the circle is 28 inches.
for such more question on diameter
https://brainly.com/question/390660
#SPJ4
Two angles of a quadrilateral measure 180° and 50°. The other two angles are in a ratio of 2:11. What are the measures of those two angles?
The measures of those two angles are, 20° and 110°
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Two angles of a quadrilateral measure 180° and 50°.
And, The other two angles are in a ratio of 2:11.
Since, The other two angles are in a ratio of 2:11.
Hence, ,Measures of both angles are, 2x and 11x.
Now, We know that;
Sum of all interior angles of a quadrilateral are 360°.
Hence, We get;
⇒ 180 + 50 + 2x + 11x = 360
⇒ 230 + 13x = 360
⇒ 13x = 360 - 230
⇒ 13x = 130
⇒ x = 10
Thus, Measures of both angles are,
2x = 2 × 10 = 20°
and 11x = 11 × 10 = 110°
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ9
Find domain and range
Domain of function is 0 ≤ x < ∞ , range of function is 0 ≤ y < ∞
What are domain and range?A function's domain is the set of values that can be put into the function. This set is the x-values of a function like f(x). A function's range is the set of values that the function takes on. This set is the value that the function outputs after inserting the x value.
Given,
graph of the function is drawn as a ray,
ray is starting from origin and extends to infinity on first quadrant
domain of the function
0 ≤ x < ∞
interval notation
Domain = [0, ∞)
range of the function
0 ≤ y < ∞
interval notation
Range = [0, ∞)
Hence, Domain and range of the function are 0 ≤ x < ∞ and 0 ≤ y < ∞ respectively.
Learn more about domain and range of the function here:
https://brainly.com/question/29452843
#SPJ1
QUESTION 1 Determine if this is a function or not, find the domain, and find the range. {(7,8),(3,2),(1,8),(-7,2)} Is this a function or not? (type yes or no) What is the domain? (list the numbers in increasing order, seperated by a comma ) What is the range? (list the numbers in increasing order, seperated by a comma )
The domain is -7, 1, 3, 7 and the range is 2, 8
Determine if this is a function or not, find the domain, and find the range. {(7,8),(3,2),(1,8),(-7,2)} Is this a function or not? (type yes or no) What is the domain? (list the numbers in increasing order, seperated by a comma ) What is the range? (list the numbers in increasing order, seperated by a comma )
Yes, this is a function. The domain is -7, 1, 3, 7 and the range is 2, 8.
Learn more about domain
brainly.com/question/28135761
#SPJ11
if the solution of an equation is x=-2, what could the original equation be? A. x+6=8 B. x-6=8 C. x+8=6 D. x-8=6
Answer:
C: x+8= 6
Step-by-step explanation:
So if you were to work each of these out x + 6 = 8 that problem gives us positive 2, when we are looking for a -2 so that answer is ruled out. Then you go to x-6=8 you move the -6 and add it to the 8 and you get x = 14 still not our answer so thats also ruled out. Then x-8=6 is the same thing as the last one but with a -8 instead of a 6 but you get the same answer which is x=14 so not that one either. Then you work on the choice x+8=6 and you subtract 8 from both sides and you end up with a -2. So our final answer is C: X+8=6
Consider the following hypothesis test:
H0:μ≤116
Ha:μ>116
The value of the test statistic z=1.12. Find the
p-value.
Select one:
a.
0.1314
b.
0.1131
c.
0.8869
d.
0.2628
e.
0.8686
Answer:
its aaaaaaaaaaaaaa letter d
d. 0.2628
H0:μ≤116 Ha:μ>116 The value of the test statistic z=1.12. Find the p-value is0.8869. The correct answer is option c. 0.8869.
To find the p-value, we need to use the standard normal table or a calculator with a normal distribution function. The p-value is the probability of observing a test statistic as extreme or more extreme than the one observed, given that the null hypothesis is true.
In this case, we are looking for the probability that z is greater than or equal to 1.12, given that the null hypothesis is true.
Using a standard normal table, we can find the area to the left of z=1.12, which is 0.8686. However, we are interested in the area to the right of z=1.12, which is 1 - 0.8686 = 0.1314.
This is the p-value for a one-tailed test. However, the hypothesis test in the question is a two-tailed test, so we need to double the p-value to get the final answer. The p-value for a two-tailed test is 2 * 0.1314 = 0.2628.
Therefore, the correct answer is option c. 0.8869.
Learn more about hypothesis at https://brainly.com/question/17097853
#SPJ11
the sum of series whose n term is 3(2x+1) is
i need detailed answer
The sum of a series whose nth term is 3(2x+1) can be calculated using the formula: S = (n/2)(3a + 3d + a), where a = the first term of the series and d = the common difference between the terms. In the given series, the first term is 3(2x+1), and the common difference is 3. Therefore, the sum of the series is: S = (n/2)(3(2x+1) + 3(3) + (2x+1)) = (n/2)(9x + 10)
Pizza Palace charges $5 for a cheese pizza and $0.20 for each additional topping. Pizza Ranch charges $4 for a cheese pizza and $0.30 for each additional topping. Find the number of toppings, n, where the cost of the pizza is the same.
Write the equation to represent the situation.
The number of toppings where the cost of the pizza is the same at both Pizza Palace and Pizza Ranch is 10. The equation that represents the situation is $5 + $0.20T = $4 + $0.30T
What is the variable?A variable is a quantity that may change within the context of a mathematical problem or experiment.
Let's start by defining the variables we will use in the problem:
Cc: Cost of a pizza at Pizza Palace
Cr: Cost of a pizza at Pizza Ranch
T: Number of toppings
According to the problem, we have:
Cc = $5 + $0.20T
Cr = $4 + $0.30T
We want to find the number of toppings, T, where the cost of the pizza is the same at both Pizza Palace and Pizza Ranch. That is:
Cc = Cr
Substituting the expressions for Cc and Cr, we get:
$5 + $0.20T = $4 + $0.30T
Simplifying and solving for T, we get:
$1 = $0.10T
T = 10
Therefore, the number of toppings where the cost of the pizza is the same at both Pizza Palace and Pizza Ranch is 10.
The equation that represents the situation is $5 + $0.20T = $4 + $0.30T
To learn more about variables visit:
https://brainly.com/question/28248724
#SPJ1
According to a study, 81% of K-12 schools or districts in a country use digital content such as ebooks, audiobooks, and digital textbooks. Of these 81%, 12 out of 20 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum.
The probability that a randomly selected school or district uses digital content and uses it as part of its curriculum is 48.6%.
What is the probability?Probability refers to the odds, chance, or likelihood that an expected outcome is obtained out of many possible outcomes.
Probability is a fractional value lying between zero and one based on the degree of certainty.
The percentage of K-12 schools or districts using digital content = 81%
The fractional value of those who use digital content as part of their curriculum = 12/20 = 0.6 or 60%.
Thus, the probability of randomly selecting a school or district using digital content as part of curriculum = 48.6% (81% x 60%).
Learn more about probabilities at https://brainly.com/question/13604758.
#SPJ1
Change the word phrase to an algebraic expression. Use x as the variable to represent the number.
the difference between a number and 14
Let x = the number.
The difference between a number and 14 can be written as _____.
Answer: x-14
Step-by-step explanation:
Cary plans to finish her basement. She needs a stove with a surface area that is at 80 sq ft to heart the basement how can she determine wether a stove is large enough
If the stove's output is greater than or equal to the estimated BTUs, then it should be large enough to heat her basement.
Cary can determine if a stove is large enough to heat her basement by checking the stove's specifications for its heating capacity or output. Typically, a stove's output is measured in British Thermal Units (BTUs) per hour. She can use the following formula to estimate the BTUs required to heat her basement:
BTUs = (Length x Width x Height of basement) x 5
Once Cary has an estimated BTU requirement, she can compare it to the output of the stove she's considering.
To learn more about basement follow the link: brainly.com/question/30630145
#SPJ4
The recommended retail price of a new cancer drug is $150 per dose. The price of the drug in a random sample of 20 retailers is on average $161 with a sample standard deviation of $4. Give the following for a 95% confidence interval for the mean drug price.
1. The value for Z or t and how you found it.
2. The confidence interval equation filled in.
3. The calculation of the Standard Error
4. The calculation of the Margin of Error
5. The upper and lower limits
6. An interpretation of the confidence interval
Upload a picture of your answer, showing all your work.
1. The value of Z is 1.96 determined from Z-table or a calculator. 2. The confidence interval equation is 161 ± 1.96* (4/√20). 3.The standard error is 0.8944. 4. The margin of error is 1.754. 5. The upper and lower limits are 162.754 and 159.246 respectively. 6. Confidence interval indicate how confident the researchers is that true mean is within the range.
1. For a 95% confidence interval, the value for Z is 1.96. This value is found by looking at a Z-table or using a calculator to find the Z-score that corresponds to a 95% confidence level.
2. The confidence interval equation is:
CI = x ± Z* (σ/√n)
Where x is the sample mean, Z is the Z-score, σ is the sample standard deviation, and n is the sample size.
Plugging in the values from the question, we get:
CI = 161 ± 1.96* (4/√20)
3. The standard error is calculated by dividing the sample standard deviation by the square root of the sample size:
SE = σ/√n = 4/√20 = 0.8944
4. The margin of error is calculated by multiplying the Z-score by the standard error:
ME = Z*SE = 1.96*0.8944 = 1.754
5. The upper and lower limits are calculated by adding and subtracting the margin of error from the sample mean:
Upper limit = x + ME = 161 + 1.754 = 162.754
Lower limit = x - ME = 161 - 1.754 = 159.246
6. The 95% confidence interval for the mean drug price is between $159.246 and $162.754. This means that we are 95% confident that the true mean price of the drug is within this range.
Learn more about Confidence interval:
https://brainly.com/question/17097944
#SPJ11
Evaluate. Write your answer as a fraction or whole number without exponents. 10^-3
Step-by-step explanation:
10^-3 is equivalent to 1/1000 or 0.001.
Find and simplify the difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1.
[f(x+h)-f(x)]/h =.....
The difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1 is -5.
To find and simplify the difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1, we need to substitute (x+h) into the function for x and then simplify.
First, let's substitute (x+h) into the function for x:
f(x+h) = -5(x+h) - 1
Next, let's simplify:
f(x+h) = -5x - 5h - 1
Now, let's subtract f(x) from f(x+h):
[f(x+h) - f(x)] = (-5x - 5h - 1) - (-5x - 1)
Simplifying further:
[f(x+h) - f(x)] = -5h
Finally, let's divide by h:
[f(x+h) - f(x)]/h = -5h/h = -5
Therefore, the difference quotient [f(x+h)-f(x)]/h for the function f(x)=-5x-1 is -5.
Learn more about function at https://brainly.com/question/11535593
#SPJ11
21, 9:55:40 PM Watch help video lve the following logarithm problem for the positive solution for x. log_(x)(1)/(256)=-(4)/(3) Answer:
The positive solution for x in the equation log_x(1)/256 = -4/3 is x = 4.57
To solve the logarithm problem for the positive solution for x, we can use the following steps:
1. First, we can rewrite the equation in exponential form:
x^(-(4)/(3)) = 1/256
2. Next, we can raise both sides of the equation to the power of -(3)/(4) to isolate x:
(x^(-(4)/(3)))^(-(3)/(4)) = (1/256)^(-(3)/(4))
3. Simplify the left side of the equation:
x = (1/256)^(-(3)/(4))
4. Simplify the right side of the equation:
x = 256^((3)/(4))
5. Take the fourth root of both sides of the equation:
x = (256^((3)/(4)))^(1/4)
6. Simplify the right side of the equation:
x = 256^((3)/(16))
7. Simplify the exponent:
x = 256^(3/16)
8. Calculate the value of x:
x ≈ 4.57
Therefore, the positive solution for x is approximately 4.57.
Know more about solution here:
https://brainly.com/question/17145398
#SPJ11
27. Henley's take home pay is $3,300 each month. Henley wants to make a budget for herself and has decided what percent of her income should go towards each part of her budget. Complete the budget by writing the actual dollar amounts in the blank row of the table.
In this context, we will explore the benefit and step of budgeting on home pay. By creating a budget and sticking to it, She (Henley) can ensure that she is effectively managing her income and achieving her financial goals.
How can Henley budget her pay?1. Allocation percentage: There is need to determine the percentage of her income that she wants to allocate to each part of her budget. For example, she may decide to allocate 50% of her income to living expenses, 20% to savings, 15% to transportation, and 15% to entertainment.2. Expenses priority: She should prioritize her expenses by listing them in order of importance. This will help her to ensure that she covers her essential expenses first before allocating funds to discretionary items.3. Spending tracking: She needs to track her spending and adjust her budget as needed. Henley should regularly review her spending to ensure that she is sticking to her budget and adjust it as necessary based on changes in her income or expenses.Read more about budget
brainly.com/question/6663636
#SPJ1
Calculate the following equation: Eight vehicles set out to drive to a destination that is 50 mile away. Only seven vehicles complete the trip and the eighth vehicle only completed 50% of th joumey. What are the total miles that all eight vehicles drove? A. 375 B. 225 C. 900 D. 450
The total miles that all eight vehicles drove is 375 miles, and the correct answer is A. 375.
To calculate the total miles that all eight vehicles drove, we need to add up the miles driven by the seven vehicles that completed the trip and the miles driven by the eighth vehicle that only completed 50% of the journey.
The seven vehicles that completed the trip each drove 50 miles, so their total mileage is 7 x 50 = 350 miles.
The eighth vehicle only completed 50% of the journey, so it drove 50 x 0.50 = 25 miles.
To find the total miles driven by all eight vehicles, we add the miles driven by the seven vehicles and the miles driven by the eighth vehicle:
350 + 25 = 375 miles
Therefore, the total miles that all eight vehicles drove is 375 miles, and the correct answer is A. 375.
For more information about equation, visit:
https://brainly.com/question/22688504
#SPJ11
The sum of two numbers is 12. Their difference is 6. The second number is double the first number. Create a linear system to solve the two numbers.
We are being informed that the sum of the two numbers is 12 and their difference is 6.
Thus, the two numbers whose sum is equal to 12 and their difference is equal to 6 are 9 and 3 respectively.
Let those two unknown numbers be (a) and (b)
a + b = 12
Their difference;
i.e.
a - b = 6
So, we can equate the two equations together:
i.e.
a + b = 12 --- (1)
a - b = 6 --- (2)
From equation (1); Let a be:
a = 12 - b
Now, Let's replace the value of (a) into equation (2)
12 - b - b = 6
12 - 2b = 6
-2b = 6 - 12
-2b = -6
2b = 6
b = 6/2
b = 3
If b = 3;
Then from equation, we have:
a + b = 12
replace b with 3 from the above equation, we have:
a + 3 = 12
a = 12 - 3
a = 9
Therefore, we can conclude that the sum of the two numbers are 9 and 3. respectively
Learn more about numbers here:
https://brainly.com/question/17429689?referrer=searchResults
19. A ball is dropped from a height of 30 feet. At the same time, a ball is thrown straight into the air from a height of 5 feet with an initial velocity of 20 feet per second. The polynomials -16t2 + 30 and -16t2 + 20t + 5 represent the heights (in feet) of the balls after t seconds.
a. Write a polynomial that represents the distance between the heights of the balls after t seconds.
b. Interpret any coefficients and constants of the polynomial in part (a.)
A polynomial that represents the distance between the heights of the balls after t seconds. Time t =15/20=0.75 seconds
a. Change of speed versus acceleration and time:
v = u + at
20 = -16t2 + 30 +16t2 + 20t + 5
20= 20t + 35
20t=35-20=15
b. We now interpret this polynomial as follows:Δh(t)=[tex]h_{0} -u_{y} t[/tex]
This shows how far apart the two balls are at time t. The two terms can be interpreted as follows: The initial separation between the two balls at time t=0 is represented by the constant term, h0 (in fact, the first ball is still at the top of the building, while the second ball is on the ground). For this issue[tex]h_{0} =30 feet.[/tex] The second ball's initial velocity, which serves as the coefficient of the linear term, [tex]u_{y}[/tex]tells us that the gap between the two balls closes by [tex]u_{y}[/tex] feet every second.
Time t =15/20=0.75 seconds. Time is the continuous pattern of existence and the events that take place in what appears to be an unbroken progression from the past through the present and into the future. It is a component number of various measurements that are used to compare the lengths of events or the pauses between them, to compare the order in which they occur, and to gauge the rates at which certain quantities in the physical world or in conscious experience change.
Learn more about Time from
https://brainly.com/question/26862717
#SPJ1
Question 2: Three friends, Izzy, Lydia & Jenna are collecting canned pet food for the
animal shelter. Their goal is represented by the expression 6x² - 2xy + 8.
Izzy: 3x² - 2
Lydia: x²
Jenna: 2xy + 5
Part A (5 pts): Create an expression to represent the
amount of canned food collected so far by the three friends.
30
Part B: Fill in the blanks to create an expression that
represents the number of cans the friends still need to
collect to meet their goal. Show your work (2 pts).
0x²-Oxy+0
Answer (3 pts):!
6.02
Answer:
Part A: To create an expression to represent the amount of canned food collected so far by the three friends, we need to add up their individual contributions. Therefore, the expression would be:
Amount collected = (3x² - 2) + (x²) + (2xy + 5)
Amount collected = 4x² + 2xy + 3
Part B: To find the expression that represents the number of cans the friends still need to collect to meet their goal, we need to subtract the amount collected from their goal expression. Therefore, the expression would be:
Cans still needed = 6x² - 2xy + 8 - (4x² + 2xy + 3)
Cans still needed = 2x² + 5
Answer: We do not have enough information to provide an answer for Part C as we need to know the value of x to evaluate the expression 6.02.
60 D A B Diagram NOT accurately drawn The sides of an equilateral triangle 1BC and two regular polygons meet at the point 4. AB and AD are adjacent sides of a regular 10-sided polygon. AC and 4D are adjacent sides of a regular n-sided polygon Work out the value of n.
The value of n in the n-sided polygon, with sides AC and AD, where the external angle formed at the point the decagon touches the n-sided polygon is 60° is; n = 15
What is a polygon?A polygon is a planar shape with three or more straight sides.
The sum of angles at a point property indicates that, the sum of angles at the point A can be presented as follows;
∠BAC + ∠CAD + ∠DAB = 360°
Angle ∠BAC = 60°
Angle ∠DAB is an interior angle of a 10-sided regular polygon, (a decagon), therefore, the measure of angle ∠DAB is 144°
Plugging in the values of the measures of the angles ∠BAC and ∠DAB, in the equation, ∠BAC + ∠CAD + ∠DAB = 360°, we get;
+ ∠CAD + 144° = 360°
∠CAD = 360° - (144° + 60°) = 156°
∠CAD = 156°
The formula for finding the measure of the interior angle of an n-sided polygon, θ, can be presented as follows;
θ = (n - 2) × 180°/n
Where the interior angle, θ = 156°, which is the measure of ∠CAD, in the n-sided polygon, we get;
156° = (n - 2) × 180°/n
156·n = 180·n - 360
360 = 180·n - 156·n = 24·n
n = 360/24 = 15
The number of sides in the n-sided polygon is 15, therefore, AC and AD are adjacent to a 15-sided polygon
Learn more on the properties of a regular polygons here: https://brainly.com/question/22818205
#SPJ1
The exchange rate from euros to dollars is one euro =$1.2 complete these convertions euros 160 to dollars $76.80to euros
One euro is equivalent to $1.2 in dollars thanks to the $1.2/euro conversion rate. The EUR/USD exchange rate is another name for this rate.
What is a rate of exchange?A currency's relative value expressed in terms of another currency is called an exchange rate (or group of currencies). The exchange rate is a significant economic variable for nations with active international trade, like Australia. We can multiply the quantity of euros by the conversion rate to convert 160 euros to dollars:
1 euro Equals $1.22; 160 euros = $192.
Hence, 160 euros are equal to $192.
We can divide the amount in dollars by the conversion rate to convert $76.80 to euros:
64 euros are equal to $76,80 at the exchange rate of $1 to the euro.
Hence, 64 euros are equal to $76.80.
Learn more about multiplying here:
brainly.com/question/23536361
#SPJ1
At a carnival game, it cost Noah $12 to toss 30 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Answer: See attached.
Step-by-step explanation:
First, we will find the unit rate by dividing.
30 rings / $12 = 2.5 rings per dollar
Then, we can fill out the other values using this unit rate.
2 dollars * 2.5 rings per dollar = 5 rings
45 tosses / 2.5 rings per dollar = 18 rings
Lastly, we will use these two equivalent ratios we found above to fill out the table and then plot the points. See attached.
Find the equation of a line parallel to 3x + 3y = 21 that passes through the point
(8,-2).
Answer:
do you have like any picture of a graph?
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 101° is added to the data, how does the mean change?
The mean decreases by 1.6°.
The mean increases by 1.6°.
The mean decreases by 8.4°.
The mean increases by 8.4°.
Answer: The mean increases by 1.6°.
Step-by-step explanation:
The mean is the average or the sum of all the data divided by the amount of data.
58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 = 965
There are 12 data points so...
965 / 12 ≈ 80.4
To find the new mean add 101 to 965, then divide by 13.
965 + 101 = 1066
1066 / 13 = 82
The mean increases by 1.6°.
Hope this helps!
What is the domain of the function y = X+6 - 7?
O x>-7
O x>-6
• x>6
O x>7
The domain of y = x + 6 - 7 is the set of all real numbers
How to determine the domain and the range?From the question, we have the following parameters that can be used in our computation:
y = x + 6 - 7
The domain of a function is the set of all possible input values (usually denoted by x) for which the function is defined
There is no restriction on the input values, x
So, the domain of y = x + 6 - 7 is all real numbers, since there is no restriction on the input (x).
Read more about domain at
brainly.com/question/2264373
#SPJ1
The Toucan has a long, narrow beak that allows it to reach fruit that is hard to reach for other birds.
Plants, like the Monstera Plant, in HELP IM ON A TIME LIMIT!!!!
the rainforest have long, grooved leaves to drop water to the forest
floor. The excessive water that falls in the rainforest could lead to mold, so the leaves adapted to
have “drip tips” that allow the water to run off of the leaves.
What type of adaptations are these? Compare and contrast the adaptations of the Toucan and
Monstera Plants of the rainforest. Your answer should be 3–4 sentences long.
Answer:
They have large leaves with holes in them that the Toucan can use to reach the fruit inside. The Toucan's beak is also used to break open hard-shelled fruits, such as coconuts. The Toucan's beak is also used for defence against predators, as it can be used to peck and jab at them. The adaptations of the rainforest plants are examples of convergent evolution. Both the Toucan and Monstera Plants have adapted to their environment in order to survive. The Toucan has a large beak that helps it to reach fruit in the canopy, while the Monstera Plant has long, grooved leaves with drip tips that allow water to run off and prevent mould. Both adaptations are beneficial for the survival of the species in the rainforest.
Step-by-step explanation:
Y=-3/2x-3
y=3/4x+6
Solve the system of equations graphed on the coordinate axes below
The solution of the system of equations is (-4, 3).
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Given are two linear equations.
y = -3/2 x - 3
y = 3/4 x + 6
The two equations are in slope intercept form.
The solution of the two equations is the intersection of the two lines.
Equate both the equations.
-3/2 x - 3 = 3/4 x + 6
-3/2 x - 3/4 x = 6 + 3
-9/4 x = 9
-x/4 = 1
x = -4
Substitute x = -4 in y = 3/4 x + 6.
y = -3 + 6 = 3
Hence the solution of the equations are x = -4 and y = 3.
Learn more about System of Linear Equations here :
https://brainly.com/question/27664510
#SPJ1
(x^(2))/(9)-(y^(2))/(16)=1 will have a minor and major axis with length (In that order ) a. 3,4 b. 6,8 c. 9,16 d. 18,32
The given function will have a minor and major axis with length 6 and 8, respectively. The correct answer is B.
The given equation is (x²)/(9) - (y²)/(16) = 1 is in the form of (x²)/(a²) - (y²)/(b²) = 1. This is the equation of a hyperbola with a horizontal transverse axis.
The length of the major axis is 2a, and the length of the minor axis is 2b.
In this case, a = 3 and b = 4.
So, the length of the major axis is 2a = 2(3) = 6, and the length of the minor axis is 2b = 2(4) = 8.
Therefore, the correct answer is option b. 6,8.
Learn more about horizontal transverse axis here: https://brainly.com/question/28969949.
#SPJ11