Step-by-step explanation:
probability that the first die shows six = 1/6
probability that the other die shows an odd number = 1/2
Giovanna deposited $1600 into two different savings account she deposited half of the money at first Oak and the other half at West United how much interest will she have earned from both accounts at the end of five years ?
Answer: $8000r
Step-by-step explanation:
Assuming that both savings accounts earn the same interest rate over the five-year period, Giovanna would have earned the same amount of interest on both accounts.
If she deposited half of the money, which is $1600/2 = $<<1600/2=800>>800, into each account, then the total amount of money she deposited into savings is $800 + $800 = $1600.
Let's say the interest rate on both accounts is r, expressed as a decimal. The amount of interest Giovanna earns on the Oak account after five years would be:
Interest on Oak account = $800 * r * 5
Similarly, the amount of interest she earns on the West United account after five years would be:
Interest on West United account = $800 * r * 5
The total amount of interest she earns from both accounts would be the sum of these two amounts:
Total interest = Interest on Oak account + Interest on West United account
= ($800 * r * 5) + ($800 * r * 5)
= $1600 * r * 5
= $8000r
So, the total amount of interest Giovanna will have earned from both accounts at the end of five years is $8000r. The actual value of r would depend on the interest rate offered by each savings account.
A stained glass window is shaped like a semicircle. The bottom edge of the window is 4 feet long.
What is the area of the stained glass window?
Answer: 12.57
Step-by-step explanation:
the radius is 2 so you 2 times pi squared
Find the perimeter and area of a regular octagon that has a radius of 10m.
If you spin the spinner below 75 times, how many times would you expect to spin a number that is less than 5?
ANSWER FAST PLEASE!
What is 143,246 rounded to the 3rd significant figure?
The tables represent hat sizes measured in inches for two softball teams.
Pelicans
21.5 25 22
21 22 23
22.5 24 21.5
22 23.5 22
23.5 22 24.5
Falcons
22.5 20 23.5
21 24 22
20.5 21.5 23
23 22.5 21
24 22 24.5
Which team has the largest overall size hat for their players? Determine the best measure of center to compare and explain your answer.
Falcons; they have a larger median value of 22.5 inches
Pelicans; they have a larger median value of 22 inches
Falcons; they have a larger mean value of about 22 inches
Pelicans; they have a larger mean value of about 23 inches
The team that has the largest overall size hat for their players is the Falcons; they have a larger mean value of about 22 inches
How to solveIn order to determine the average hat size per team, it is necessary to sum up each player's measurements and divide by the total number of players.
For the Pelicans: The combined sum equals 344.5, which results from adding up values such as 21.5, 25, 22, 24, and so on. With a team membership of 15 people, their mean measures out to approximately 22.97 inches.
The Falcon's equivalent calculation yields a total of 330 attained from summing head sizes, including those measuring 20, 23.5, 21, etc., with an equal number of members, coming close to an average measure of 22 inches thick.
As a result, comparisons between both teams reveal that the Falcons possess the larger collective hat size averages at roughly 22 inches in thickness.
Read more about mean value here:
https://brainly.com/question/1136789
#SPJ1
The owner purchases 5 buckets, 10 brushes, 48 towels, and 1 case of air fresheners for the car wash. The total cost of the purchases is $144.08. Each bucket costs $2.89, each brush costs $7.91, and each towel costs $0.36. What is the cost, in dollars, of the case of air fresheners?
The cost of the case of air fresheners is $33.25.
What is the cost of the case of air fresheners?Let the cost of the case of air fresheners be represented by the variable a.
Then, the cost of 5 buckets is 5 times $2.89, or 5 x 2.89 = $14.45.
The cost of 10 brushes is 10 times $7.91, or 10 x 7.91 = $79.10.
The cost of 48 towels is 48 times $0.36, or 48 x 0.36 = $17.28.
The total cost of the purchases, including the case of air fresheners, is $144.08.
Therefore, we can write the equation:
14.45 + 79.10 + 17.28 + a = 144.08
Simplifying the left side of the equation, we get:
110.83 + a = 144.08
Subtracting 110.83 from both sides of the equation, we get:
a = 33.25
Therefore, the cost of the case of air fresheners is $33.25.
Read more about equations at
https://brainly.com/question/148035
#SPJ1
Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the plateau is 20 degrees, how far are you from the base of the plateau?
We are approximately 17.88 meters from the base of the plateau.
What is an angle of elevation?An angle of elevation is the angle formed between a horizontal line and a line of sight that is directed upward to an object or point above the horizontal level. It is commonly used in trigonometry and geometry to determine the height or distance of an object, such as a building, tower, or mountain.
We can use trigonometry to solve this problem. Let's call the distance we are from the base of the plateau "x".
From the problem, we know that the height of the plateau (the opposite side) is 40m and the angle of elevation (the angle between the horizontal and the line of sight to the top of the plateau) is 20 degrees.
Using the tan function, we get,
tan(20) = 40/x
To solve for x, we can cross-multiply:
x * tan(20) = 40
Then, we can divide both sides by tan(20):
x = 40 / tan(20)
Using a calculator, we get:
x ≈ 17.8798 meters
Therefore, we are approximately 17.88 meters from the base of the plateau.
To know more about angle of elevation visit:
brainly.com/question/9817377
#SPJ1
How can i do parallelogram shown below has an area of
15
1515 units
2
2
The height of given parallelogram is 5 units.
Given that, the parallelogram shown below has an area of 15 units.
The base is 3 units.
We know that, the area of a parallelogram is Area = Base × Height
Here, Area = 3×Height
15 = 3×Height
Height = 15/3
Height = 5 units
Therefore, the height of given parallelogram is 5 units.
Learn more about the area here:
https://brainly.com/question/27683633.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
The parallelogram shown below has an area of 15 units. Find the missing height.
Your boss hands you a memo with a summary of the monthly data. The number of imports is shown as f(x), and the number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss the solution to the system of equations and what that solution represents. Use complete sentences.
Month f(x) = No. of imports g(x) = No. of exports
January (1) 3 3
February (2) 6 4
March (3) 9 5
April (4) 12 6
The solution to this system of equations can be found by equating f(x) and g(x) and solving for x:
3x = x + 2
2x = 2
x = 1
What is the functions about?Based on the given table data, we can see that the number of imports (f(x)) and the number of exports (g(x)) follow a linear relationship with respect to the month (x). The data shows that as the month progresses, both the number of imports and exports increase.
The system of equations can be represented as follows:
f(x) = 3x
g(x) = x + 2
The first equation f(x) = 3x represents the number of imports, where the coefficient of x is 3, indicating that the number of imports increases by 3 units for every increase of 1 unit in the month.
The second equation g(x) = x + 2 represents the number of exports, where the coefficient of x is 1, indicating that the number of exports increases by 1 unit for every increase of 1 unit in the month. Additionally, there is a constant term of 2, which represents the initial number of exports in the month of January.
The solution to this system of equations can be found by equating f(x) and g(x) and solving for x:
3x = x + 2
2x = 2
x = 1
The solution x = 1 represents the month of January, where both the number of imports and exports are equal to 3. This implies that in the month of January, there were 3 units of imports and 3 units of exports.
In all, the solution to the system of equations indicates that in the month of January (x = 1), the number of imports (f(x)) and the number of exports (g(x)) were both 3 units, as per the given data in the table.
Read more about functions here:
https://brainly.com/question/26651007
#SPJ1
the hypothesis statement h: μ < 60 is an example of an alternative hypothesis in a one-tail test. is true or false
The hypothesis statement h: μ < 60 is an example of an alternative hypothesis in a one-tail test is true
Define hypothesisA hypothesis is a proposed explanation or prediction for an observation or phenomenon that is based on limited evidence or data. It is a tentative statement or idea that can be tested through further observation, experimentation, or data analysis. Hypotheses are often used in scientific research as a starting point to investigate a research question or problem.
The hypothesis statement "μ < 60" is an example of an alternative hypothesis in a one-tailed test.
In a one-tailed test, the alternative hypothesis is directional and states that the population parameter is either greater than or less than the null hypothesis value.
In this case, the alternative hypothesis states that the population mean is less than 60.
The null hypothesis, in contrast, is typically a statement of "no effect" or "no difference" and is often denoted by H0.
To know more about experimentation, visit:
https://brainly.com/question/10416781
#SPJ1
cupcake delight shop made 4 1/2 as much revenue on doughnuts as muffins. if total sales were 44,000 what dollar amount of each was sold?
The revenue from muffins was $8,000. To find the revenue from doughnuts: 4.5x = 4.5 * 8,000 = $36,000 Therefore, the cupcake delight shop sold $8,000 worth of muffins and $36,000 worth of doughnuts.
Let's use the given terms and set up a system of equations to solve this problem:
Let x be the revenue from muffins, and y be the revenue from doughnuts. We know the following:
1. y = 4.5x (Cupcake Delight Shop made 4 1/2 times as much revenue on doughnuts as muffins)
2. x + y = 44,000 (Total sales were $44,000)
Now we'll solve the system of equations step-by-step:
Step 1: Replace y with 4.5x in the second equation (using equation 1):
x + 4.5x = 44,000
Step 2: Combine the x terms:
5.5x = 44,000
Step 3: Divide both sides by 5.5 to solve for x:
x = 8,000
Step 4: Plug x back into equation 1 to find y:
y = 4.5 * 8,000
y = 36,000
So, Cupcake Delight Shop sold $8,000 worth of muffins and $36,000 worth of doughnuts.
to learn more about revenue click here:
https://brainly.com/question/23798931
#SPJ11
The dollar amount of muffins sold is $8,000, and the dollar amount of doughnuts sold is $36,000.
To solve this problem, let's assign variables to the revenue for doughnuts and muffins:
Let D = revenue from doughnuts
Let M = revenue from muffins
We are given that the shop made 4 1/2 times as much revenue on doughnuts as muffins:
D = 4.5M
We are also given that the total sales were $44,000:
D + M = 44,000
Now, we can solve for the dollar amount of each item sold:
Replace D with 4.5M in the second equation:
4.5M + M = 44,000
Combine like terms:
5.5M = 44,000
Divide by 5.5 to isolate M:
M = 44,000 / 5.5
M = 8,000
Plug the value of M back into the first equation to find the value of D:
D = 4.5M
D = 4.5 × 8,000
D = 36,000.
For similar question on dollar.
https://brainly.com/question/13199393
#SPJ11
When working with mu, ____ is the sample size requirement.
When working with mu, sample size requirement is an important consideration. Mu, also known as the population mean, represents the average value of a variable across the entire population.
In order to estimate mu with a reasonable degree of accuracy, it is necessary to take a representative sample from the population.
The sample size required to accurately estimate mu will depend on a variety of factors, including the variability of the population, the desired level of precision, and the level of confidence required.
One of the most important factors influencing sample size requirements is the variability of the population.
The population is highly variable, larger sample sizes are required to obtain accurate estimates of mu.
This is because a larger sample size reduces the impact of random sampling error, allowing the true population to mean to be estimated with greater accuracy.
Similarly, when a high level of precision is required, larger sample sizes are necessary to ensure that the estimate of mu is sufficiently precise.
Another important consideration when determining sample size requirements is the desired level of confidence.
In order to estimate mu with a certain level of confidence, it is necessary to choose a sample size that provides the required level of precision.
If a researcher wants to estimate mu with 95% confidence, they may choose a sample size that provides an estimate with a margin of error of 5%.
When working with mu, sample size requirement is a critical factor in obtaining accurate estimates of the population mean.
The sample size required will depend on the variability of the population, the desired level of precision, and the level of confidence required.
By carefully considering these factors, researchers can select an appropriate sample size to ensure that their estimates of mu are reliable and meaningful.
For similar questions on Sample Size
https://brainly.com/question/28583871
#SPJ11
Two friends live 7 miles apart. One Saturday, the two friends set out on their bikes at 8am and started riding towards each other. One rides at 0. 2 miles per minute, and the other rides at 0. 15 miles per minute. At what time will the two friends meet?
The time when the two friends will meet is 8:20 am.
We can start by finding the combined speed at which the two friends are approaching each other. This can be found by adding their individual speeds:
0.2 miles/minute + 0.15 miles/minute = 0.35 miles/minute
This means that the friends are approaching each other at a combined speed of 0.35 miles/minute.
To find out how long it will take for the friends to meet, we can use the formula:
time = distance / speed
In this case, the distance is 7 miles (since they are 7 miles apart) and the combined speed is 0.35 miles/minute. So we can solve for time as follows:
time = 7 miles / 0.35 miles/minute = 20 minutes
Therefore, it will take the two friends 20 minutes to meet each other while biking towards each other.
Since they started biking at 8am and it took them 20 minutes to meet, they will meet at 8:20am.
To learn more about time here:
https://brainly.com/question/20594349
#SPJ4
Please help me i really don't know what to do
Answer:
A 48 pound catfish would be approximately 45 inches long
Step-by-step explanation:
First find the slope of the line, m, using 2 points on the line, (20, 3) and (25, 12)
m = (12-3) / (25-20) = 9/5
Use the point (30, 21) and slope to find the equation (in point-slope form) of the line:
(y - 21) = 9/5(x - 30) = 9/5x - 270/5 = 9/5x - 54
y = 9/5x - 54 + 21 = 9/5x - 33
y = 9/5x - 33 now you have the equation of the line in y = mx + b form
Find x (catfish length) when y = 48 (catfish weight)
48 = 9/5x - 33
9/5x = 48 + 33 = 81
x = 81 · 5/9 = 45
x = 45 inches
What is an equation of the line that passes through the point ( − 2 , − 2 ) and is parallel to the line 5x − y = 4 ?
Answer:
(-2,-2)
Step-by-step explanation:
To find the equation of the line that passes through the point (-2,-2) and is parallel to the line 5x - y = 4, we need to first find the slope of the given line. We can rearrange the given equation into slope-intercept form y=5x-4, where the slope is 5.
Since parallel lines have the same slope, the slope of the line we want to find is also 5. We can use the point-slope formula y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.
Substituting m=5, x1=-2, and y1=-2, we get:
y-(-2) = 5(x-(-2))
y+2 = 5x+10
y = 5x+8
Therefore, the equation of the line that passes through the point (-2,-2) and is parallel to the
Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 58-m-by-58-m square. Val says the area is 1917.48 m. Find the area enclosed by the figure. Use 3.14 for π. What error might Val have made?
The area that is enclosed by the figure which is being observed by Val would be = 3,364m²
How to calculate the area of the given figure?To calculate the area of the enclosed figure, the area of 2 circles and a square should be calculated and added together.
The area of a circle = πr²
r = 58/2 = 49
area = 3.14×49×49
= 7539.14×2
= 15078.28m
Area of the enclosed region = 58×58 = 3,364m²
Therefore, Val is wrong with the area of he calculated.
Learn more about area here:
https://brainly.com/question/28470545
#SPJ1
please help with this question
Answer:
A-223
B-98
Step-by-step explanation:
A- To find the perimeter of a shape you have to add all the sides together .
Here the only information we get is the length which is 99 and we have to find the width .
To find the width we have to do
332-99
=98m
B-To find the area of a shape you have to do height x width
h x w
but here it gives us the length and the area of it so we would have to divide the two numbers
6468÷66
=98cm²
Convert the following decimals to percents.
0.956=_%
Answer: 0.956 * 100% = 95.6%
Step-by-step explanation: To convert a decimal to a percent, you can multiply the decimal by 100 and add a percent sign.
So, to convert 0.956 to a percent:
0.956 * 100% = 95.6%
Therefore, 0.956 is equivalent to 95.6%.
Answer:
95.6%
Step-by-step explanation:
In order to solve this, you can just move the decimal point two places to the right to get the answer!
An equation to the line tangent to y= x^3 + 3x^2 +2 at its point of inflection isa) y= -6x-6b) y= -3x +1c) y= 2x +10d) y= 3x-1e) y= 4x+1
The equation of the tangent line at the point of inflection is y = -3x + 1, which corresponds to option (b).
To find the equation of the tangent line at the point of inflection for the given function [tex]y = x^3 + 3x^2 + 2,[/tex] we first need to determine the point of inflection. A point of inflection occurs where the second derivative changes sign.
First, let's find the first and second derivatives of the given function:
[tex]y' = 3x^2 + 6x[/tex] (first derivative)
[tex]y'' = 6x + 6[/tex] (second derivative)
To find the point of inflection, set the second derivative equal to zero and solve for x:
[tex]6x + 6 = 0 x = -1[/tex]
Now, plug x = -1 back into the original function to find the corresponding y-coordinate:
[tex]y = (-1)^3 + 3(-1)^2 + 2\\y = -1 + 3 + 2\\y = 4[/tex]
The point of inflection is (-1, 4). Next, find the slope of the tangent line at this point using the first derivative:
[tex]y'(-1) = 3(-1)^2 + 6(-1)\\y'(-1) = 3 - 6\\y'(-1) = -3[/tex]
Now, use the point-slope form of the equation of a line to find the tangent line:
y - y1 = m(x - x1)
y - 4 = -3(x - (-1))
y - 4 = -3(x + 1)
Simplify the equation to get the answer:
y = -3x - 3 + 4
y = -3x + 1
The equation of the tangent line at the point of inflection is y = -3x + 1, which corresponds to option (b).
learn more about equation of the tangent line
https://brainly.com/question/28994498
#SPJ11
7 Sandeep buys some flowers.
He has 5000 rupees to spend.
He buys 6 carnations at 220 rupees each.
He also buys some roses at 295 rupees each.
Sandeep should receive 140 rupees in change from his 5000 rupees
Work out how many roses Sandeep buys.
Dr. Price uses a table to organize the types of sea life and the positions relative to sea level of each location. Complete each sentence. The difference between Location A and Location B is meters. The difference between Location B and Location C is meters. The difference between Location C and Location D is meters. After observing Location B, Dr. Price returns to Location A before descending to Location C. What is the total distance she travels? Dr. Price descends to Location D to observe shrimp. She then ascends and stops to observe sea life that is halfway between Location B and Location C. What is the total distance between Location D and where Dr. Price stopped to observe?
The total distance that Dr. Price travels during her observations is 2567.1 meters, and the distance between Location D and the point halfway between Locations B and C is 1,317.125 meters.
First, we can look at the distances between each location. The table tells us that the difference between Location A and Location B is 203.15 meters. The difference between Location B and Location C is 1686.55 meters, and the difference between Location C and Location D is 474.25 meters.
To calculate the total distance that Dr. Price travels, we need to add up the distances for each part of her journey. First, she travels from Location A to Location B, a distance of 203.15 meters. Then she returns to Location A, so she travels the same distance back, for a total of 406.3 meters. Next, she descends from Location A to Location C, a distance of 1686.55 meters. Finally, she descends further to Location D, a distance of 474.25 meters. Adding up these distances, we get a total distance of 2567.1 meters.
For the second part of the question, we need to find the distance between Location D and the point halfway between Locations B and C. To do this, we first need to find the depth at the midpoint between Locations B and C. We can do this by taking the average of the depths for Locations B and C, which gives us -1,941.875 meters.
Next, we can calculate the distance between Location D and the midpoint between B and C. This is simply the difference in depth between Location D (-3,259 meters) and the midpoint (-1,941.875 meters), which gives us a distance of 1,317.125 meters.
To know more about distance here
https://brainly.com/question/4199102
#SPJ4
Complete Question:
Dr. Price uses a table to organize the types of sea life and the positions relative to sea level of each location. Complete each sentence. The difference between Location A and Location B is meters. The difference between Location B and Location C is meters. The difference between Location C and Location D is meters. After observing Location B, Dr. Price returns to Location A before descending to Location C. What is the total distance she travels? Dr. Price descends to Location D to observe shrimp. She then ascends and stops to observe sea life that is halfway between Location B and Location C. What is the total distance between Location D and where Dr. Price stopped to observe?
Location Sea Life Depth Relative to Sea Level (m)
A Eels -895.9
B Eels -1,098 3/20
C Shrimp -2,784.75
D Shrimp -3,259
The variable in the equation 11 = –2z + 8 is z. Remembering the formula ax + b = c, what are the values of the constants in the equation?
A) a= -8, b = 8, c= 11
B) a= -2, b= 8, c= 11
C) a= -11, b= 8, c= 11
D) a= 8, b= -8, c= 11
Answer: The given equation is 11 = -2z + 8, which can be rearranged into the form of ax + b = c by moving the terms containing z to one side:
-2z + 8 = 11
-2z = 11 - 8
-2z = 3
z = -3/2
Comparing this with the standard form ax + b = c, we see that:
a = -2
b = 8
c = 11
Therefore, the correct answer is option B: a = -2, b = 8, c = 11.
Step-by-step explanation:
what is the best way to describe the center of the data represented in this line plot? select from the drop down menus to correctly complete the statement
Given that there are no outliers in the data, the mean of 3.2 inches should be used to characterise the centre of the data represented by this line plot.
What metric should be used to describe a data set's centre?It is dependent on whether or not the data set contains outliers.
If there are no outliers, the mean should be utilised.
If this is the case, the median should be utilised.
The dot plot shows how many times each measure appears. Because there are no outliers, all values are near, the mean should be utilised. It is provided by:
M = (2 x 1 + 3 x 2 + 2 x 3 + 1 x 5 + 1 x 6 + 1 x 7)/(2 + 3 + 2 + 1 + 1).
The mean of 3.2 inches should be used to define the data centre in this line graphic.
Learn more about median here:
https://brainly.com/question/28060453
#SPJ1
Complete question:
What is the best way to describe the center of the data represented in this line plot?
Select from the drop-down menus to correctly complete the statement.
The Choose...is Mean or median Choose.... 2 inches 2.5 inches 3 inches or 3.2 inches
pls help asap!! Algebra 2 unit test on edge
The value of cotθ given that cscθ = 8/7 using trigonometric identities is √(15)/7.
To find the value of cotθ given cscθ = 8/7, we can use the relationship between trigonometric functions:
cscθ = 1/sinθ and cotθ = cosθ/sinθ
First, we can find the value of sinθ by using the definition of cscθ:
cscθ = 1/sinθ
8/7 = 1/sinθ
sinθ = 7/8
Next, we can use the value of sinθ to find the value of cosθ using the Pythagorean identity:
sin²θ + cos²θ = 1
cos²θ = 1 - sin²θ
cos²θ = 1 - (7/8)²
cos²θ = 1 - 49/64
cos²θ = 15/64
Taking the square root of both sides, we get:
cosθ = ±√(15)/8
Since cscθ is positive and cotθ is positive, we need to take the positive square root:
cosθ = √(15)/8
Finally, we can use the definition of cotθ to find the value of cotθ:
cotθ = cosθ/sinθ
cotθ = (√(15)/8) / (7/8)
cotθ = √(15)/7
In conclusion, to find the value of cotθ given cscθ, we can use the relationship between trigonometric functions and the Pythagorean identity to find the values of sinθ and cosθ, and then use the definition of cotθ to find its value.
To learn more about trigonometry click on,
https://brainly.com/question/4508962
#SPJ1
Write and solve the inequality.
six less than the product 1/4 of a number n and
is no more than 97.
The solution to the inequality is n ≤ 412.
What is inequality?An inequality is a statement that asserts that two values are not equal. An inequality can be represented using symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
According to question:The inequality can be written as:
(1/4)n - 6 ≤ 97
To solve for n, we will isolate n on one side of the inequality. First, we can add 6 to both sides:
(1/4)n ≤ 103
Then, we can multiply both sides by 4:
n ≤ 412
Therefore, the solution to the inequality is:
n ≤ 412
This means that any number less than or equal to 412 satisfies the original inequality.
For example, "x > 5" is an inequality that states that the value of x is greater than 5. The inequality "y 10" indicates that the value of y is less than or equal to 10.
To know more about inequality visit:
https://brainly.com/question/30228778
#SPJ1
What is the probability that a randomly selected man is shorter than 65 inches?
The probability that a randomly selected man is shorter than 65 inches can be determined using the concepts of normal distribution and z-scores.
Step 1: Determine the average height and standard deviation :
Assuming the average height (μ) for men is 69 inches and the standard deviation (σ) is 3 inches. These values are commonly used in such problems and can vary based on the specific population being considered.
Step 2: Calculate the z-score :
We want to find the probability of a man being shorter than 65 inches. The formula for the z-score is: Z = (X - μ) / σ Here, X is the target height (65 inches), μ is the average height (69 inches), and σ is the standard deviation (3 inches).
Substituting values to calculate the z-score: Z = (65 - 69) / 3 Z = -4 / 3 Z ≈ -1.33
Step 3: Determine the probability :
Using a z-score table or a calculator with a normal distribution function, we can find the probability that corresponds to the calculated z-score of -1.33. The table will show a value of 0.092 (approximately) for the z-score of -1.33.
Thus, the probability that a randomly selected man is shorter than 65 inches is approximately 9.2%.
For similar question on probability
https://brainly.com/question/29221515
#SPJ11
The nth term of the sequence 3/2, 3, 7, 16, 35, 74,... is?
Answer:
95 is the sequence
Step-by-step explanation:
The given sequence appears to follow the pattern where each term is obtained by multiplying the previous term by 2 and then adding 1. Using this pattern, we can derive a formula for the nth term of the sequence as a(n) = 3 * 2^(n-1) - 1, where a(n) represents the nth term of the sequence and n is a positive integer.
For example, to find the 6th term of the sequence, we can substitute n = 6 into the formula to get a(6) = 3 * 2^(6-1) - 1 = 3 * 2^5 - 1 = 95. So, the 6th term of the sequence is 95.
Let f be the function given by f(x)=2x3+3x2+1. What is the absolute maximum value of f on the closed interval [â3,1] ?
The absolute maximum value of f(x)=2x³ +3x² +1 on the closed interval [-3, 1] is 6, which occurs at x=1.
To find the absolute maximum value of the function f(x) on the closed interval [-3, 1], we need to evaluate the function at the endpoints of the interval and at any critical points in the interior of the interval.
First, we evaluate the function at the endpoints of the interval
f(-3) = 2(-3)³ + 3(-3)² + 1 = -17
f(1) = 2(1)³ + 3(1)² + 1 = 6
Next, we find the critical points of the function f(x) by taking its derivative and setting it equal to zero
f'(x) = 6x² + 6x
6x(x+1) = 0
x = 0 or x = -1
Now we evaluate the function at these critical points
f(0) = 1
f(-1) = 2(-1)³ + 3(-1)² + 1 = 2
Therefore, the absolute maximum value of f(x) on the closed interval [-3, 1] is 6, which occurs at x=1.
Learn more about absolute maximum value here
brainly.com/question/29449130
#SPJ4
The given question is incomplete, the complete question is:
Let f be the function given by f(x)=2x³ +3x² +1. What is the absolute maximum value of f on the closed interval [-3,1] ?
help me please before i have to submit it
Answer:
Based on the information provided that one corner of the parallelogram measures 128 degrees, we can determine the measures of the other three angles x, y, and z.
In a parallelogram, opposite angles are congruent, which means that x and z are congruent to 128 degrees.
So, x = z = 128 degrees.
The sum of the measures of the interior angles of a parallelogram is always 360 degrees. Since x and z both measure 128 degrees, the sum of x and z is 2 * 128 = 256 degrees.
Therefore, we can find the measure of y by subtracting the sum of x and z from 360 degrees:
360 degrees - 256 degrees = 104 degrees
So, y measures 104 degrees.
To summarize:
x = z = 128 degrees
y = 104 degrees