Answer:
B) 9x² + 6x + 1
Step-by-step explanation:
use the FOIL method:
(3x + 1)(3x + 1)
F: 3x(3x) = 9x²
O: 3x(1) = 3x
I: 3x(1) = 3x
L: 1(1) = 1
combine the 'like terms' in the middle to get 6x
answer: 9x² + 6x + 1
Answer:
the answer is B. 9x^2 + 6x+1
The owner of a local golf course wants to determine the average age of the golfers that play on the course in relation to the average age in the area. According to the most recent census, the town has an average age of 21.29. In a random sample of 30 golfers that visited his course, the sample mean was 39.723 and the standard deviation was 8.0282. Using this information, the owner calculated the confidence interval of (35.683, 43.763) with a confidence level of 99%. Which of the following statements is the best conclusion?
a. We are 99% confident that the average age of all golfers that play on the golf course is greater than 21.29
b. We are 99% confident that the average age of all golfers that play on the golf course is less than 21.29
c. We cannot determine the proper interpretation based on the information given.
d. The average age of all golfers does not significantly differ from 21.29.
e. The percentage of golfers with an age greater than 21.29 is 99%.
Answer:
a. We are 99% confident that the average age of all golfers that play on the golf course is greater than 21.29
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval for the average age of golfers that play on the area is (35.683, 43.763), which means that we are 99% confident that the mean age of all golfers who play in the area is a value in this interval, and the best conclusion is given by option A, as the lower bound of the interval is greater than 21.
How many gallons of fuel are needed for a Boeing 747 to travel from
Accra, Ghana to Callao, Peru?
A ______ is a graph of data based on quartiles showing a rectangle with lines extending from both its ends.
Another alternative answer is "box-and-whisker plot"
The box portion consists of data between Q1 and Q3, with the median somewhere in between. The whiskers represent stuff below Q1 and above Q3. The tip of each whisker represents the min and max, assuming there are no outliers. If there are outliers, then you'll have island points disconnected from the main boxplot.
Hey does anyone know how to solve this need an answer quickly
Geometry need to find the lengths of DE , EF AND DF , respectively? ASAP
Answer:
option D
because every length is one fifth of the corresponding length of the bigger triangle
8. Are these ratios equvalent?
9: 3 arid 15:5 and 3:1
Answer:
Yes
Step-by-step explanation:
3:1 x 3 = 9:3
3:1 x 5 = 15:5
how can i solve the following
4x-3=2x+7
Answer:
x = 5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Add 3 and subtract 2x from both sides of the equation:
4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)
4x - 2x = 7 + 3
2x = 10
Next, isolate the x by dividing 2 from both sides of the equation:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
~
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
Subtract 2x from each side
4x-2x-3=2x-2x+7
2x -3 = 7
Add 3 to each side
2x-3+3=7+3
2x = 10
Divide by 2
2x/2 =10/2
x = 5
Please show process I WILL GIVE BRAINLY
Answer:
your image has the answer
Step-by-step explanation:
you can go type triangle calculator and type in everything
Three people are sitting on a bus. Belle is seated 4 meters directly behind Diego and 3 meters directly left of Reba. How far is Diego from Reba?
helo meeeeeeeeeeeeeeeeeeeee
Answer:
8 times 5 is 40
8 plus 32 is 40
21 divided by 3 is 7
21 minus 14 is 7
E makes no sense becayse you cant multiply 21 by anything to get 7
Step-by-step explanation:
Answer:
8 times 5 is 40
8 plus 32 is 40
21 divided by 3 is 7
21 minus 14 is 7
E makes no sense becayse you cant multiply 21 by anything to get 7
Step-by-step explanation:
If 3 out of 10 mammalian cell cultures exposed to ultraviolet (UV) radiation developed chromosomal abnormalities while 9 out of 10 mammalian cell cultures developed chromosomal abnormalities when exposed to UV radiation plus a common NSAID (nonsteroidal anti-inflammatory drug).
a. What is the type of study design?
b. Which parameter (s) can be determined? Calculate it.
c. Explain the results.
Answer:
a) Observational Study
b) Risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk when exposed to a common NSAID is 3 out of 10 people
Step-by-step explanation:
A) This is observational study
b) The parameter determined here is the risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk of mammalian cell to develop chromosomal abnormalities when exposed to a common NSAID is 3 out of 10 people
graph below represents to read that Suzy hops across the lawn the equation represents the rate at which suzy's little sister jessica hops across lawn. Jessica gets a 15 meter head start. Who would you predict to win 60 meter hopping race?
A)Suzy
B)Jessica
C)They would tie
D)They would not complete 60 meters
calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth if necessary.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]113.04\text{in}^3[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boexd{\text{The Volume of a Cone is...}}\\\\V=\pi r^2\frac{h}{3}\\\\\boxed{\text{Key:}}\\\\r - \text{radius}\\h- \text{height}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Volume:}}\\\\V = (3.14)6^2\frac{3}{3}\\\\V=(3.14)36\frac{3}{3}\\\\V=\boxed{113.04}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
II. We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds. (a) How many people would you expect to have consumed alcoholic beverages
Answer:
You would expect for 35 people to have consumed alcoholic beverages.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they consumed alcoholic beverages, or they did not. The probability of a person having consumed alcoholic beverage is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008.
This means that [tex]p = 0.7[/tex]
We now consider a random sample of fifty 18-20 year olds.
This means that [tex]n = 50[/tex]
How many people would you expect to have consumed alcoholic beverages
[tex]E(X) = np = 50*0.7 = 35[/tex]
You would expect for 35 people to have consumed alcoholic beverages.
Undefined geometric term that is described as two dimensional set of points that has no beginning or end
Answer:
Plane
Step-by-step explanation:
There are three undefined geometric terms:
1. Point: A point is just a location. It has no size.
2. Line: A line has no width and extends infinitely in one dimension.
3. Plane: A plane extends infinitely in two dimensions.
So the answer is plane.
Write an equation for the following problem,
"Ross decides to go ice skating with his friends.
The rink charges $8 to rent skates and $7.50 for
each hour. Write an equation to find the total
cost (C) if he skates for 3 hours.?"
Answer:
c= $8 +($7.50×3)
Step-by-step explanation:
In a sample of 234 individuals over the age of 25, chosen at random from the state of Oregon, 48 did not have a high school diploma. What is the upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma
Answer:
The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
In a sample of 234 individuals over the age of 25, chosen at random from the state of Oregon, 48 did not have a high school diploma.
This means that [tex]n = 234, \pi = \frac{48}{234} = 0.2051[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051*0.7949}{234}} = 0.2568[/tex]
The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.
What is the perimeter of parallelogram WXYZ?
In the diagram, WZ=root26
Answer:
Step-by-step explanation:
incomplete question.
Consider the following inductive arguments, and evaluate each one for inductive strength. To do this, begin by assuming that the argument's premises are true (even if they are false). Then ask yourself whether the conclusion would therefore probably be true as well. If the answer to this question is yes, then the argument is strong. If the conclusion is not likely to be true based upon the given premises, then the argument is weak.
Argument A:
Whales and dolphins are both mammals. So, because whales cannot breathe underwater but must come up to the ocean's surface to breathe, it is likely that dolphins must also swim to the surface to breathe air.
Argument A is :_______
a. strong
b. weak
Argument B:
Harry has always had an aptitude for history, geography, and social sciences, but he has always struggled with abstract concepts such as mathematics and physics. But Harry must take a college physics course to fulfill a general education requirement for his degree. Based on his academic track record, it is likely that Harry will be one of the top students in his college physics course.
Argument B is :_______
a. strong
b. weak
Argument C:
Out of a bag of 100 marbles, 97 red marbles were drawn in a row at random. Based on this sample, it is probably the case that the remaining 3 marbles are also red.
Argument C is :_______
a. strong
b. weak
Argument D:
The label on the side of a certain soda can indicates that the can was manufactured by Ball Corporation in their plant in Fairfield, California. Based on the information on the can's label, it is unlikely that the can was manufactured by any company other than Ball Corporation.
Argument D is :_______
a. strong
b. weak
Answer:
Argument A: a. strong
Argument B: b. weak
Argument C: a. strong
Argument D: a. Strong
Step-by-step explanation:
Dolphins and whales are mammals. They do not have gills like other fishes for breathing. They have to come to surface of water to breathe. The whales can store oxygen and can stay alive without breathing for more than an hour while dolphins can stay without breathing for few minutes. Harry has struggles with physics and mathematics therefore he cannot be top scorer in this subject based on his past track record.
Multiply: –5 × (–3) × 7
Answer:
the ans is 105...........
Answer:
105
Step-by-step explanation:
-5*-3=15
15*7=105
find the value of x easy math question #3 please help
Answer: x =8
Step-by-step explanation:
-12 + 9x = 60 (the other angles are 60, 180 - (60 + 60) = 60)
9x = 72
x = 8
Answer:
x = 8°
Step-by-step explanation:
We know that sum of interior angles of a triangle is 180°, therefore;
(Angle 1) + (Angle 2) + (Angle 3) = 180°
(60)° + (60)° + (-12 + 9x)° = 180°
120° + (-12 + 9x) = 180°
108° + 9x° = 180°
9x = 180 - 108
9x = 72°
x = 72/9
x = 8°
Therefore the value of x is 8°.
Hope this helps!
The ______ are (is) used to determine the amount of money that an organization would save if it used a particular test in place of the test it currently uses to select employees.
Answer:
The correct answer is the "Brogden-Cronbach-Gleser formula".
Step-by-step explanation:
Brogden introduced the BCG approach towards the conclusion of the nineteenth century as well as developed it considerably mostly throughout a 1965 guidebook by Cronbach as well as Gleser.This model was used to determine the monetary value of another profit derived from either the usage of the content or the selection criterion beneath defined parameters.Use a statistics calculator to find the area, in decimal form, rounded to four places after the decimal, under the (standard) Normal histogram and... (a) ...to the left of 1.8. (b) ...to the right of 2.4. (c) ...between 1.8 and 2.4.
Answer:
a) 0.9641.
b) 0.0082
c) 0.0277
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
(a) ...to the left of 1.8.
p-value of Z = 1.8, which, looking at the z-table, is of 0.9641.
(b) ...to the right of 2.4.
1 subtracted by the p-value of Z = 2.4.
Looking at the z-table, Z = 2.4 has a p-value of 0.9918.
1 - 0.9918 = 0.0082, which is the answer.
(c) ...between 1.8 and 2.4.
p-value of Z = 2.4 subtracted by the p-value of Z = 1.8.
From itens a and b, we have both. So
0.9918 - 0.9641 = 0.0277
Explain WHEN and WHY you would use the median as a best measure of center (instead of either the mean or median)
Answer:
Easy
Step-by-step explanation:
The median is just picking the middle number of a sequence of numbers.
The mean is only used to find the average of the numbers
so hope that settles it
[tex]\int\limits^a_b {\frac{1}{xln(x)} } \, dx[/tex]
Step-by-step explanation:
Let u = ln x
du = dx/x
[tex]\int {\frac{1}{x \ln(x)} }\: dx = \int \frac{du}{u}[/tex]
[tex]= \ln |u| + k[/tex]
or
[tex]\int_b^a {\frac{1}{x \ln(x)} }\:dx= \ln |\ln|x|| _b^a[/tex]
[tex]=\ln|\ln(a)| - \ln|\ln(b)|[/tex]
Solve the inequality -3x+1 <7?
x > -2
x < -2
x > 2
Pls help meeeee
Answer:
x<-2 ^;;:%%^^^::"%%^::::%^&&;::%^^^;::^^^&;;:%^_
Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. __________________
b. What are the speeds of the two cyclists? __________________
9514 1404 393
Answer:
a) r + (r+3) = 68/4 . . . . equation to answer the question
b) r = 7, r+3 = 10 . . . miles per hour
Step-by-step explanation:
a. The combined speed of the two cyclists is found from the time it takes for them to close the distance between them. The faster cyclist is traveling at (r+3) miles per hour.
speed = distance/time
r + (r+3) = 68/4 . . . . an equation to answer the problem
__
b. Solving the above equation helps us answer the question
2r +3 = 17 . . . simplify
2r = 14 . . . . . subtract 3
r = 7 . . . . . . divide by 2
r+3 = 10
The speeds of the two cyclists are 7 miles per hour and 10 miles per hour.
for what value of a is x-3 a factor of x^3-4x^2+ax-2a
Answer:
2x
Step-by-step explanation:
because it's2 so two ok carRy on
The value of a is 9.
What is factor?
A factor of polynomial P(x) is any polynomial which divides evenly into P(x).
How to find the solution for a polynomial?For finding the factor of a polynomial we will perform following steps:
If f(x) is any polynomial then substitute f(x) = 0.Then factorize the given polynomial by splitting the middle term. Then solve for x.According to the given question.
We have a cubic polynomial [tex]x^{3} -4x^{2} +ax -2a[/tex]
Also, x - 3a is a factor of the given polynomial.
⇒ [tex]x - 3 = 0[/tex]
⇒[tex]x = 3[/tex]
⇒ 3 is the one solution of the given cubic polynomial.
If 3 is the one solution of the cubic polynomial then it must satisfy the equation (i).
So, substitute the value of x in the given polynomial.
[tex](3)^{3} -4(3)^{2} + a (3) - 2a = 0[/tex]
⇒[tex]27 -4(3)^{2} +a(3) -2a=0[/tex]
⇒[tex]27 - 36 + 3a - 2a= 0[/tex]
⇒[tex]-9 + a = 0[/tex]
⇒ [tex]a = 9[/tex]
Therefore, the value of a is 9.
Find out more information about factor and solution of polynomial here:
https://brainly.com/question/26354419
#SPJ2
One autumn morning, the temperature went up from -4°C to 5°C
a)By how many degrees did the temperature rise? During the afternoon, the
temperature then fell by seven degrees from 5OC.
b)What was the temperature at the end of the afternoon?
Please Help Me
And Win This Lottery.....
this please help me
9514 1404 393
Answer:
y = 2·3^x
Step-by-step explanation:
The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.
The multiplier is 2, and the base of the exponential factor is 3. That gives us ...
y = 2(3^x)
