The archaeological site of Tara is more than 4000 years old. Tradition states that Tara was the seat of the high kings of Ireland. Because of it's archaeological importance, Tara has received extensive study (Reference: Tara: An Archaeological Survey by Conor Newman, Royal Irish Academy, Dublin). Suppose an archaeologist wants to estimate the density of ferromagnetic artifacts in the Tara region. For this purpose, a random sample of 55 plots, each of size 100 square meters, is used. The number of ferromagnetic artifacts for each plot is determined.
Answer: Hello your question is incomplete attached below is the complete question.
answer:
a) The number of ferromagnetic artifacts per 100 square meters ( option A )
b) quantitative ( option D )
c) Entire Tara region ( option A )
Step-by-step explanation:
a) Determine The Variable
The number of ferromagnetic artifacts per 100 square meters
b) The Variable is quantitative
This is because the variable used in the study has numerical value attached to it hence we can say it is a quantitative variable.
c) The implied population
Entire Tara region
Identify complementary angles in the given figure.
Answer:
<6 and <4
Step-by-step explanation:
Complemetary angles are angles that their measure add up to 90 degrees
the angles meet this requirment in this image are angle <6 and angle <4
What is the value of this number in decimal form?
Five and three hundred eight thousandths.
what is the sum of the angles for a polygon of 62 sides
hurry pls okk
Answer:
10800
Step-by-step explanation:
Sum of all angles in a 62 sided polygon = 10800°.
Make (a) as the subject S = 3t + at2
the answer is ( a=st2-3t )
What is the factored form of this expression?
4x to the third power– 8x to the second power– 9x+ 18
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow.
Age Group
Hours of Sleep 39 or younger 40 or older
Fewer than 6 38 36
6 to 6.9 61 58
7 to 7.9 76 74
8 or more 65 92
(a) Conduct a test of independence to determine whether hours of sleep are independent of age.
(b) What is your estimate of the percentages of individuals who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more per night?
Answer:
Sleep hours per night is independent.
Step-by-step explanation:
Given the data:
Hours of Sleep 39 or younger 40 or older
> 6 _____38 36
6 to 6.9 _ 61 58
7 to 7.9 __76 74
8 or more 65 92
The Chisquare statistic is to be used to perform the analysis :
The hypothesis :
H0: Sleep hours per night is independent
H1: Sleep hours per night is not independent
χ² = (observed - Expected)² / Expected
To save computation time. We could use a Chisquare calculator to perform the analysis :
The test statistic = 4.0061
The degree of freedom = (row - 1) * (column - 1)
Degree of freedom = (4-1)*(2-1) = 3*1 = 3
The Pvalue = 0.261
Since, Pvalue > α ; We fail to reject the H0 ;and conclude that sleep hours per night is independent.
______________total ___%
> 6 _____38 36__ 74 __ 14.8
6 to 6.9 _ 61 58 __ 119 __23.8
7 to 7.9 __76 74___150__30
8 or more 65 92___157__31.4
_______240 _260__500_100
When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information.
Time of Day When Best Ideas Occur
Time Number of Inventors
6 A.M.-12 noon 271
12 noon-6 P.M. 123
6 P.M.-12 midnight 327
12 midnight-6 A.M. 245
Required:
a. Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to 12 noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M.
b. Do the probabilities add up to 1? Why should they?
Answer:
a.
0.2805 = 28.05% probability that an inventor has a best idea from 6 A.M. to 12 noon.
0.1273 = 12.73% probability that an inventor has a best idea from 12 noon to 6 P.M.
0.3385 = 33.85% probability that an inventor has a best idea from 6 P.M. to 12 midnight.
0.2536 = 25.36% probability that an inventor has a best idea from 12 midnight to 6 A.M.
b. They do, as the the sum of the probabilities of all possible outcomes should be 1, as is in this question.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the total outcomes.
We have:
A total of 966 inventors.
Question a:
6 A.M. to 12 noon
271 out of 966, so:
[tex]p = \frac{271}{966} = 0.2805[/tex]
0.2805 = 28.05% probability that an inventor has a best idea from 6 A.M. to 12 noon.
12 noon to 6 P.M.
123 out of 966, so:
[tex]p = \frac{123}{966} = 0.1273[/tex]
0.1273 = 12.73% probability that an inventor has a best idea from 12 noon to 6 P.M.
6 P.M. to 12 midnight
327 out of 966, so:
[tex]p = \frac{327}{966} = 0.3385[/tex]
0.3385 = 33.85% probability that an inventor has a best idea from 6 P.M. to 12 midnight.
12 midnight to 6 A.M.
245 out of 966. So
[tex]p = \frac{245}{966} = 0.2536[/tex]
0.2536 = 25.36% probability that an inventor has a best idea from 12 midnight to 6 A.M.
b. Do the probabilities add up to 1? Why should they?
0.2805 + 0.1273 + 0.3385 + 0.2536 = 1
They do, as the the sum of the probabilities of all possible outcomes should be 1, as is in this question.
Can someone please help me with this
Answer:
y = 4x
y = -1/3 × x + 6
y = x + 1
y = 1
y = 5x
Step-by-step explanation:
the slope of a line is the factor of x in the equation representing the ratio of y/x. it stands for the number of units y changes, when x changes by another number of units.
like the factor 4 tells us that when x changes by 1, then y changes by 4.
a line parallel to another line means their slopes are identical (otherwise they could not be parallel).
the slope of a perpendicular line (cutting the other line in a 90 degree angle) is simply reversing y and x in the slope ratio. so, a slope of 4 (4/1) would simply turn into 1/4.
now the 5 tasks are easy, right ?
A y=4x-1, B y=4x + c
and because B passes through the origin = (0,0),
c is 0 (0=4×0 + c = c)
B y = 4x
A y=-3x+1, B y=-1/3 × x + c
and B passes through (12,2), 2 = -1/3 × 12 + c = -4 + c,
c = 2 + 4 = 6
B y = -1/3 × x + 6
A y = ax + c for (5,6) and (7,8), B is identical
6 = a×5 + c => c = 6 - a×5
8 = a×7 + c => 8 = a×7 + 6 - a×5 = a×2 + 6
=> a×2 = 8-6 = 2
=> a = 1, c = 6 - 1×5 = 1
=> A and B y = x + 1
A is vertical. B is perpendicular to it. perpendicular to vertical is horizontal. so, B is a flat line. which means y is a constant value (the same value for whatever value of x you want to use). so it goes flat in parallel to the x-axis through what value of y ? the point (4,1) tells us that y=1
and that is the equation for B
A 15x -3y = -6 => 3y = 15x + 6 => y = 5x + 2
B is parallel, so y = 5x + c
and B passes through (4,20), 20 = 5 × 4 + c = 20 + c,
c = 20 - 20 = 0
B y = 5x
Choose all of the symbols that make the following sentence true.
4 ^0 ___ 5 ^-1
=
<
≥
≤
≠
>
Answer:
≠ and >
Step-by-step explanation:
_________________
i need help with this one plz! (marking BRAINLIST) :)
Answer: (a) = 110 degrees, (b) = 8
If I understand the picture correctly, (a) wants you to find the angle K. It first shows us that both J to K, and L to K are equal in length of 11, thus there is no deviation in angle 35 degrees with L (so they both equal each other). Therefore, the angle K will equal 180 degrees subtracted by the sum of J and L, which is 110 degrees.
For (b), it appears that all the angles have the same singular mark at the edges, so all sides will equal 8.
I hope this helped!
To wrap a gift, you can choose from 6 kinds of wrapping paper, 3 gift bags, 4 colors of ribbon, 2 bows, and 5 stickers. You choose either a style of wrapping paper or a gift bag. Then you choose one of each of the remaining items. Find the total number of ways you can wrap the gift.
Answer:
the answer would be 480 different ways because you would multiply all the numbers.
Which is a possible turning point for the continuous
function f(x)?
Step-by-step explanation:
Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.
This year, a small business had a total revenue of
$
62
,
100.
If this is
35
%
more than their total revenue from the previous year, what was the total revenue the previous year?
Answer:
21,735
Step-by-step explanation:
An advantage of a retirement account is
money is taken out of your paycheck before you pay taxes on it
 for making early withdrawals
O you sometimes have to find your own investment house
low interest rates
Answer: A) Money is taken out of your paycheck before you pay taxes on it.
I'm assuming your teacher is talking about tax deferred retirement plans. This is where the money you put into the retirement account isn't part of your taxable income (but the money coming out is taxed). In short, the tax is not applied to the input but it is applied to the output.
This is in contrast to a tax exempt retirement account where the input money is taxed but the output money is not taxed. This is of course a very simplified picture. The actual tax rules and various investment options are much more complicated.
You want to deposit $1000 in a savings account for 3 years. One bank
adds a $100 bonus to your principal and offers a 2% simple annual
interest rate. Another bank does not add a bonus, but offers 6% simple
interest per year. Which bank should you choose? Explain.
Answer:
2nd bank
Step-by-step explanation:
bank one:10*2=(20*3=60)
$1000+$100+$60=$1160
total after 3 years = $1160
bank two:$10*6=(60*3=180)
$1000+$180=$1180
total after 3 years = $1180
Find the area of the sector in
terms of pi.
90°
24
Area = [?]
Enter
Step-by-step explanation:
area of a circle is r x r x pi
so one quarter of it us r x r x pi /4
i need help with this one plz! (marking BRAINLIST) :)
Answer:
Sinx = c/b
cosx = a/b
tanx = c/a
Step-by-step explanation:
B is hypotenuse, a is adjacent, c is opposite of angle x.
Sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
What is the solution to this system of equations?
Answer:
the equation has no solution
help fast The graphs below have the same shape. What is the equation of the red
graph?
no links plz
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]B)\text{ } G(x)=x^3-5[/tex]
»»————- ★ ————-««
Here’s why:
According to the question provided, functions 'f' and 'g' are the same shape. The parent function 'f' is shifted 5 units down to create function 'g'.⸻⸻⸻⸻
[tex]\boxed{g(x)=x^3-5}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Hector has 10 cups of flour which equation shows how to determine the number of 2/5 of a cup servings there are in the 10 cups of flour?
Answer:
10 divided by two-fifths = 25.
find the value of variable x
Answer:
[tex]x=33[/tex]
Step-by-step explanation:
Since all three angles marked form one side of a line, they must add up to 180 degrees. Therefore, we have the following equation:
[tex]90+(x+1)+(3x-43)=180,\\x+1+3x-43=90,\\4x-42=90,\\4x=132,\\x=\boxed{33}[/tex]
Answer:
x=33
Step-by-step explanation:
The three angles form a straight line, which is 180 degrees
90+ x+1 + 3x-43 = 180
Combine like terms
4x+48 = 180
Subtract 48 from each side
4x+48-48 = 180-48
4x = 132
Divide by 4
4x/4 = 132/4
x=33
In the diagram, which two points are shown to be collinear?
Can u post the picture so we can help?
Answer:
ysysysuajan. ?bzjsjsnanannshzbzvsvs
Step-by-step explanation:
sgvsbsbahajananba
76%
Here are ten numbers:
3 7 2 4 7 5 7 1 8 8
a) Write down the mode.
b)
Work out the median.
c)
Calculate the mean.
d)
What is the range?
Answer:
Mode = 7
Median = 6
Mean = 5.2
Range = 7
Step-by-step explanation:
Mode:
The most repeated number is 7 (thrice).
Median:
First, arrange them in order.
1, 2, 3, 4, 5, 7, 7, 7, 8, 8
The two middle numbers are 5 and 7. Find their average.
(5 + 7)/2 = 6
Mean:
(3+7+2+4+7+5+7+1+8+8)/10 = 5.2
Range:
Largest number - smallest number
8 - 1 = 7
Hope this helps!
A survey of 100 people in high school was used to find what subject was preferred. Fill in whats missing
What's the joint frequency a 9th grader liked math?
Whats the marginal relative frequency of 9th graders surveyed
Given a student was in 10th grade, whats the likelyhood the student preferred english?
Given the subject was science, whats the likelyhood the student was a freshman?
Please help i really dont know what to do
Question: What's the joint frequency a 9th grader liked math?
Answer: 3%Explanation:
Check out the attached image below. I've filled in the table with the missing values. The upper left corner is 3 because 7+3 = 10 in the first column. You'll fill in the other values in a similar fashion. Once we filled out the table, we can answer all of these questions. There are 3 ninth graders who like math out of 100 people total. So the final answer is 3/100 = 0.03 = 3%.
-----------------------------------
Question: What's the marginal relative frequency of 9th graders surveyed?
Answer: 10%Explanation:
Again, refer to the table to find that there are 10 ninth graders out of 100 total. So 10/100 = 0.10 = 10% is the answer.
-----------------------------------
Question: Given a student was in 10th grade, what's the likelihood the student preferred English?
Answer: 46%Explanation:
We only focus on the 10th graders because of the "given". There are 23 people in this row who like English out of 50 total sophomores. So 23/50 = 0.46 = 46% of the tenth graders liked English.
-----------------------------------
Question: Given the subject was science, what's the likelihood the student was a freshman?
Answer: 72.5%Explanation:
Focus on the science column only. There are 29 freshmen out of 40 students total. We get the percentage of 29/40 = 0.725 = 72.5%
How long is 20 yards?
A. 600 in.
B. 720 in.
C. 840 in.
D. 900 in.
Answer:
B) 720 in
Step-by-step explanation:
1 yard is equal to 36 inches.
So, we just have to multiply 20 by 36:
20 × 36 = 720
20 yards is 720 inches.
What is the equation of a circle with radius 4 and center (0,8)?
The equation of circle with the center at (h,k) is:
[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]
r stands for radius. Therefore r^2 = diameter or 2×radius.
The question has already given the information we need, which are:
radius = 4the center at (0,8)Since the center is (h,k) - therefore the center is at h = 0 and k = 8 making it (h,k) = (0,8).
Substitute the values in the equation:
[tex] \large{ {(x - 0)}^{2} + {(y - 8)}^{2} = {4}^{2} }[/tex]
Simplify to the simplest form
[tex] \large \boxed{ {x}^{2} + {(y - 8)}^{2} = 16} \: \: \: \: \huge{ \green{\checkmark}}[/tex]
Answer
The equation of a circle is x^2+(y-8)^2 = 16Evan invested $800 in an account that pays 3.25% interest compounded annually.
Assuming no deposits or withdrawals are made, find how much money Evan would
have in the account 12 years after his initial investment. Round to the nearest tenth
(if necessary).
Answer:
Evans would have $852.8
Step-by-step explanation:
Given
[tex]PV = \$800[/tex]
[tex]r = 3.25\%[/tex]
[tex]t = 2[/tex]
[tex]n = 1[/tex] --- annually'
Required
The future value
This is calculated using:
[tex]FV = PV*(1 + \frac{r}{n})^{nt[/tex]
So, we have:
[tex]FV = 800 * (1 + 3.25\%/1)^{2*1}[/tex]
[tex]FV = 800 * (1 + 3.25\%)^{2}[/tex]
[tex]FV = 800 * (1 + 0.0325)^{2}[/tex]
[tex]FV = 800 * (1 .0325)^2[/tex]
[tex]FV = 852.845[/tex]
[tex]FV = 852.8[/tex]
FV =
What is the nearest quarter hour to 12.09
Answer:
I think 12:00
Step-by-step explanation:
please thank my answer
Answer:
I think 12:15
there only 6 minutes to 12:15. But at 12:00 there are 9 minutes
Nori had 2 bags of apples. He used 1. bags of apples to make pies. How
many bags of apples does Nori have left?
Answer:
8/12 left
Step-by-step explanation:
8/12 of a bag left
2 1/12 = 25/12
1 5/12 = 17/12
25-17 = 8
The answer is 8/12
Answer:
1
Step-by-step explanation:
2 there are 2 and 1 Number before 2 is 1 so it one