Answer:
d = √[(-2 - 3)2 + (1 - 1)2] = √25 = 5 units
At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1246 with a standard deviation of 42 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following:
a. a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found between _______and _____ A.D.
b. a range of years centered about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
Answer:
(1204 ; 1288) ;
(1162 ; 1330) ;
(1120 ; 1372)
Step-by-step explanation:
Given that:
Mean, m = 1246 years
Standard deviation, s = 42 years
68% is within one standard deviation the mean ;
Therefore 68% equals ;
mean ± 1(standard deviation)
(1246 - 1(42)) ; (1246 + 1(42))
1204 ; 1288
B) b. a range of years centered 95% about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
95% is within two standard deviation of the mean ;
Therefore 95% equals ;
mean ± 2(standard deviation)
(1246 - 2(42)) ; (1246 + 2(42)
(1246 - 84) ; (1246 + 84)
(1162 ; 1330)
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
About 99.7% which is within 3 standard deviations of the mean
99.7% is within 3 standard deviations of the mean ;
Therefore ;
mean ± 3(standard deviation)
(1246 - 3(42)) ; (1246 + 3(42))
(1120 ; 1372)
if x+y = 1, and x^2 + y^2 = -1, what is x^7 + y^13?
1) 0
2) 1
3) -2
4) 2
5) -1
Solve for x and y :
x + y = 1 → y = 1 - x
x ² + y ² = -1
x ² + (1 - x)² = -1
x ² + (1 - 2x + x ²) = -1
2x ² - 2x + 1 = -1
2x ² - 2x + 2 = 0
x ² - x + 1 = 0
x ² - x + 1/4 = -3/4
(x - 1/2)² = -3/4
x - 1/2 = ±√(-3/4)
x - 1/2 = ±√3/2 i
x = 1/2 ± √3/2 i → x = exp(± iπ/3)
y = 1 - (1/2 ± √3/2 i ) → y = -1/2 ± √3/2 i → y = exp(± 2iπ/3)
Then
x ⁷ + y ¹³ = exp(± 7iπ/3) + exp(± 26iπ/3)
… = exp(± iπ/3) + exp(± 2iπ/3)
since 7π/3 is equivalent to π/3, and 26π/3 is equivalent to 2π/3 (both modulo 2π).
In either case, we get
x ⁷ + y ¹³ = x + y = 1
so the answer is (2) 1.
Square ABCD is shown in the xy-coordinate plane. The square will be
dilated with the center O by a scale factor of 2 to create square A'B'C'D'.
Which statements are true?
Select all that apply.
BC ||B'C'
AC=A'C'
AD_CD
Point D' has the same coordinates as point C.
Point C' lies on the line containing points 0 and C.
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:
BC║B'C'AC ⊥ line C'D'D' and C have the same coordinatesC' lies on line OCLisa has 5 Pink, 3 Red and 12 Blue balls. What is the probability of randomly picking up a Red or Pink ball?
34 1/3% of animals at the shelter are dogs. About what fraction of the animals are dogs?
Answer:
Step-by-step explanation:
34%=34100
=0.34
=0.341×100100
=34/100
=17/50
If (x + 1)(x - 5) = -9, then which of the following statements is true?
A x+1=0 or x-5=0
B x+1=9 or x-5=-9
C x-2=0
Answer:
B, although i believe that you wrote wrong, it should be x+1= -9, instead of positive 9
Step-by-step explanation:
Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.
1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet
Step-by-step explanation:
Volume of square pyramid
= (Base length)² * (Height/3).
Therefore we have 8 = 2² * (h/3).
=> 8 = 4 * (h/3), h/3 = 2, h = 6.
Hence the height is 6 feet. (1)
Simplify-2(4x-6)+3(8x+2)
Answer:
-8x +12 + 24x +6 = 0
16x + 18 =0
16x = -18
x = - 18/16 = - 1.125
Question One
There are three forward players, two defensemen, and one goalie on a hockey team. What is the ratio, in simplest form, of
defensemen to the total number on a team?
A
1:6
B
1:3
С
2:1
D
3:1
Answer:
a 1.6
Step-by-step explanation:
i am a sports center worker
Suppose that a chemist is mixing two acid solutions, one of 15% concentration and the other of 25% concentration. Which of the following concentrations could not be obtained?
Choose the correct answer below.
Answer: d. 29%
Step-by-step explanation:
The mixture of the two concentrations should equal a concentration that is between the concentration percentages of the two solutions.
This is because the lower concentration percentage will pull the higher one down while the higher concentration will pull the lower one up. It will not be possible to get a mixture concentration that is lower than the lower concentrated acid or higher than the higher concentration acid.
Mixture concentration must be between 15% and 25%.
Option D at 29% is therefore not possible.
A gray whale's heart beats 64 times in 8 minutes. What is the whale's heart rate in beats per minute? 8 heartbeats per minute 56 heartbeats per minute 72 heartbeats per minute 512 heartbeats per minute
Answer:
8 heart beats per minute
Step-by-step explanation:
64/8
Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
please refer to the above attachment
(D) is the right answer.PLEASE HELP ME PLEASEEEEEEEEEEEEEE
Someone please help! I’m willing to pay for someone to help me with my five problems!
Answer:
28
Step-by-step explanation:
Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28
If you need more help, you can comment! :)
please help ILL GIVE BRAINLIEST
Answer:
1 2 and 4th
Step-by-step explanation:
that is it
Jane drove 693 miles in 11 hours.
At the same rate, how long would it take her to drive 411 miles?
Answer:
approx. 6.523809523809524 hours
Step-by-step explanation:
Let us first find how long it takes Jane to drive 1 mile.
11/693 = approx. 0.015873015873016 hours to drive one mile.
She drives 411 miles, so we can multiply that by 411:
0.015873015873016 * 411 = approx. 6.523809523809524 hours
I hope this helps! :)
Answer:
6.52 hours
Step-by-step explanation:
693 miles divided by 11 hours = 63 miles per hour.
411 miles divided by 63 miles = 6.52380952 miles
Round to 2 decimal places: 6.52 hours
────░░░───────────────────────────░░░───
─░░░─────────░▒▒▒▓▓▓▓▓▓▓▓▓▓▒▒▓▓─────░───
░░──────▒█████████████▓▓▓▓▓▒▓▓██▓────░──
░────▒███▓▒▒░──░▒▒░──░░░░░░░────██────░─
░───██░───░░▒░░░░───░─░░▒▒▓▓▒░───██───░░
───▓█───▒░───▒░────▒───────▒▒▒░──░█────░
───█▒─────────░──────▓████▒───────██────
──██────██████─────██▓▓█████▓─░────██───
─██▒░───▓███████──░████▓█▓▒█▒─▓▓▓█▒─██▓─
▓█─░▓██▓──────█─────▒───▒█▓░▒███▓░██──█▒
██──▒░▒███▒──██───────────▒▒▒──▒█──██─░█
░█─░──█────██▓─────▓██▒─────▒██▒██▒▓█──█
─██░─██░───██▓───██▓░█──▒████───█░─█░─██
──█──████▓───▒██───░████▓░─██▒███────██─
──█▓─█▓█░███████████▒░█──▒███▒██────██──
──█▓─███░█▓──█▒─░█───▒███████▓█────██───
──██─███████████████████───░██────▓█────
──██─██████████████▒───█──██▓────░█░───░
──█▓─░██▓█─█─▒█───█────████─────██▒───░░
──█▒──▒██████▒█▒▒███████▒──░▒▓███─────░─
──█░──────▒▒██████▒▒░░──░▒░▓███▒──────░─
──█──▒─▒▒──────────░▒▒░──▓██░────░░────░
──█──░▒▒▒▒▒░░─░─░─░───░███████▒───░────░
──██─────────────░▒▒▓███████████──░░───░
───██▓░──────▒▓████▓░──█████████▒──░────
──░──█████████████───▒▓██████████──░░───
──░──██████████████▒▓████████████░──░───
──░──▓███████████▓───░███████████▓──░───
──░───███████████─────████████████──░───
───░───██████████░▒███████████████──░───
───░░───▓███████████████████▒─▓██───░───
───░▒───█████████████████████──────░░───
──░░───██████████████████████───░░░─────
─░░───████████████████████████──░▒─────░
─░───█████████████████████████───▒─────░
░───██████████████████████████▓───░░────
░──▓███████████████████████████░───░░───
──░█████████████████████████████▓───░░──
░──▓██████████████████████████████────░─
░────▓█████████████████████████████░───░
▒────███████████████████████████████▒──░
───▒█████████████████████████████████───
──▒███████████████████████████████████──
─░████████████████████████████████████──
─█████████████░─────────░█████████████░─
─███████████░─────────────████████████──
─▓██████████───░░░░░░▒▒───▒███████████──
──██████████──░░────░░───░███████████▒──
──██████████──░─────░───█████████████───
───█████████──░░───░───█████████████───░
░──█████████───░───░───███████████▒───░░
░──▒████████░──░───░──██████████▒────░░─
░───████████▓──░───░──███▓████▒────░░───
░░──████████───░───░───██░─▓─────░░░────
─░──▒███▒─█▓──░░───░░───▒███───░░───────
─░░───░█░─▓█──░░────░░───███──░░──────░░
──░────█▓███──░──────░░───░───░────░░░──
──░░──█▒─██───░────────░─────░░───░░────
──░──░████───░░─────────░░░░░─────░─────
──░░──▒░────░░────▒░─────────────░──────
Answer:
nice picture bro
Step-by-step explanation:
what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?
A. 30 calories
B. 202 calories
C. 270 calories
D. 360 calories
Answer: C
Step-by-step explanation:
Wrote an expression equivalent to the one below using the identity property 4x1
Answer:
1x4
Step-by-step explanation:
identity property is any number multiplied by itself is the same number
Can any of you plz answer? (math)
I need help with this question from my daughters 1st grade math class. I believe the answer should be 12 but the teacher says the answer should be 6. How is the answer 6?
Mackenzie picks some apples.
She eats 3 apples.
Now she has 9 apples.
How many apples did Mackenzie pick to start?
A. 3 apples
B. 6 apples
C. 9 apples
D. 12 apples
Answer:
d.12
Step-by-step explanation:
its saying she ate 3 an now has 9. so you really add 3 to 9 an your answer is 12. in other words x=9+3 for your level of math. i'll be glad to help her with her home work for now if you would like me to.
Answer: Option D 12 apples
Step-by-step explanation:
SOOOO
She ate 3 apples and after that, she left with the 9 apples
They asked how many did Mackenzie pick.
SO its past tense
we have to add 3 apples that she just ate
so 9+3= 12 apples
I think your teacher is wrong because I think your teacher thought that she had 9 apples actually she has 9 apples after she just ate. So if it was before she has eaten the apples then it would be 6
Tell the teacher that she/he is wrong and give this explanation
I hope this helps you and your teacher
Help plssss with my exit ticket
Answer: 200.96 ft^2
Step-by-step explanation:
area of circle = (3.14 (pi))r^2
Radius is 6 (16 (the diameter)/2 = 8)
Answer:
Answer is H 200.96 :) Have a Happy Thursday!!
HELP PLS ASAP 25 POINTS YOU CAN SAVE MY GRADE PLS
Evaluate the expression below when x = 5.
3x(2x - 7)
A.) 0
B.) 24
C.) 45
D.) 143
Answer:
C.) 45
Step-by-step explanation:
3x(2x - 7)
3 * 5 (2 * 5 - 7)
15 * (10 - 7)
15 * 3
45
Hope this helps :)
B is the midpoint of ACand E is the midpoint of BD. If A(-9, -4), C(-1, 6), and E(-4, -3), find
the coordinates of D.
Answer:
[tex]Solution,\\Midpoint of coordinates (a ,b) and (c,d) is given by:\\(x,y) = (\frac{a+b}{2} , \frac{c+d}{2}) \\Therefore, coordinate of B is\\(\frac{-9-1}{2},\frac{-4+6}{2}) = (\frac{-8}{2},\frac{2}{2}) = (-4 , 1)[/tex]
[tex]Similarly,\\E(4, -3) = (\frac{-4+x}{2},\frac{1+y}{2}) where, (x,y) are the coordinates of D\\or, 4=\frac{x-4}{2} and -3 = \frac{y+1}{2}\\or, 8 = x - 4 and -6 = y+1\\or, x= 12 and y = -5\\Therefore, the coordinates of D are (12,-5)[/tex]
Find the area of the figure. Assume all measurements are centimeters.
Answer:
The total area of the figure is 68.5 square centimeters.
Step-by-step explanation:
To calculate the total area, we must concieve it by the sum of areas of smaller triangles and rectangles. We present our strategy in the image attached below:
[tex]A = A_{1}+A_{2}+A_{3}+A_{4}+A_{5}[/tex] (1)
Where all areas are measured in square centimeters.
Please notice that [tex]A_{2}[/tex], [tex]A_{3}[/tex] and [tex]A_{5}[/tex] are triangles and [tex]A_{1}[/tex] and [tex]A_{4}[/tex] are rectangles.
The resulting area is calculated below:
[tex]A = (1)\cdot (2) + \frac{1}{2}\cdot (2)^{2} +\frac{1}{2}\cdot (3)\cdot (7)+(9)\cdot (5)+\frac{1}{2}\cdot (2)\cdot (9)[/tex]
[tex]A = 68.5\,cm^{2}[/tex]
The total area of the figure is 68.5 square centimeters.
please send answers
Answer:
multiple 10.5x10.5 and then 7x7 and then add both answer s
Step-by-step explanation:
Answer is explained above
20 over 35 equals 110 over b
Answer:
[tex]b=192.5[/tex]
Step-by-step explanation:
We can set up the following proportion:
[tex]\frac{20}{35}=\frac{110}{b}[/tex].
Cross-multiply to solve for [tex]b[/tex]:
[tex]20b=110\cdot 35,\\b=\frac{110\cdot35}{20}=\fbox{$192.5$}[/tex].
I need to find the measure of PTR
Answer:
∠ DTR = 109°
Step-by-step explanation:
∠ DQT and ∠ TRS are alternate angles and are congruent, then
∠ TRS = 68°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ DTR is an exterior angle of Δ TRS , then
∠ DTR = 41° + 68° = 109°
Help I don’t get this at all and I need a answer fast
Answer:
3+x = y+6
Step-by-step explanation:
I hope this helps a little i have done algebra in a hot minute
If 3 oranges cost $1.75, how much would 18 oranges cost?
Answer:
31.5 i think
Step-by-step explanation:i used multi if its wrong im so sorry
Answer:
10.50$
Step-by-step explanation:
if you divide the cost of 3 oranges by 1 orange you get one oranges price then multiply it by 18.
