Answer:
1, 5, 15
Step-by-step explanation:
First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.
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)
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 HELP ASAP, MARKING BRAINLIEST! (Read the whole thing please)
Answer:
$288
Step-by-step explanation:
to find the area of one rectangular eave of the roof you have to multiply 24 by the hypotenuse of the 12 ft x 16 ft triangular side, so you can find that by using the Pythagorean Theorem
16² + 12² = c²
256 + 144 = c²
400 = c²
20 = c
Area of one eave = 24 x 20 = 480
Area of total roof = 480 x 2 = 960
set up a proportion to find cost ('x'):
30 = x
100 960
cross-multiply: 100x = 28800
x = $288
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 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!!
If the surface of the water is at an elevation 0 meters, which person is located at an elevation
of -10 meters?
Noa, who is floating on his back in the water 10 meters behind a boat
Jace, who is exploring a cave that is 10 meters below the surface of the water
Marcus, who is swimming 10 meters below a bird flying overhead
Eleni, who is standing on a pier 10 meters above the surface of the water
Jace, who is exploring a cave that is 10 meters below the surface of the water is at - 10 meters.
What is elevation of - 10 meters ?Elevation of - 10 meters means we have to go down 10 meters.
According to the given question the surface of the water is at an elevation 0 meters, which person is located at an elevation of -10 meters.
- 10 meters means below 10 meters of the surface of the water.
Reading through options we observe that Jace, who is exploring a cave that is 10 meters below the surface of the water is -10 meter below the surface of water because, Water level it at 0 and the cave is below 10 meter to that so an expression can be formed as
0 - 10 = -10.
learn more about these type of problems here :
https://brainly.com/question/18598042
#SPJ2
10% of ________ is 7
25% of ________ is 6
Answer:
I got
10% of 70 is 7
Answer:
First one is 70
Second one is 24
Step-by-step explanation:
First one :7*100=700
700÷10=70
The second one :6*100=600
600÷25=24
Lisa has 5 Pink, 3 Red and 12 Blue balls. What is the probability of randomly picking up a Red or Pink ball?
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.
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
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
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.
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]
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.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].
what is $7.50 with a added 6% sales price.
Answer:
0.0125 dollars per sales
hope this helps
Step-by-step explanation:
Answer:
7.89 i believe i looked it up
Can any of you plz answer? (math)
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
Find the mean and absolute deviation of 8,9,7,3,5
Answer:
6.4 and 1.92
Step-by-step explanation:
mean is 6.4 and absolute deviation is 1.92
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)
Which expression is equivalent to 4.25 – (-8)?
sumi
Choose 1 answer:
-8+(-4.25)
B
8 - 4.25
1:59
ice wi
the a
4.25 + 8
on 2:
D
4.25 +(-8)
Answer:
4.25+8
Step-by-step explanation:
the double negative makes it a positive
Use the geometric mean (altitude) theorem. What is the
value of m?
4
2/7
4/10
160
Answer:
[tex] \red{ \bold{ m = 4 \sqrt{10}}} [/tex]
Step-by-step explanation:
By geometric mean theorem:
[tex]m = \sqrt{8 \times 20} \\ \\ m = \sqrt{160} \\ \\ m = \sqrt{16 \times 10} \\ \\ m = \sqrt{ {4}^{2} \times 10} \\ \\\huge \red{ \bold{ m = 4 \sqrt{10}}} \\ \\ [/tex]
Simplify-2(4x-6)+3(8x+2)
Answer:
-8x +12 + 24x +6 = 0
16x + 18 =0
16x = -18
x = - 18/16 = - 1.125
Diana buys 7 cups of orange juice. Each cup of orange juice cost $0.81. How much does diana spend?
help pls
Answer: $5.67
Step-by-step explanation: Multiply
Answer:
$5.67
Step-by-step explanation:
Since Diana bought 7 cups of orange juice and each cost $0.81, you just need to multiply $0.81 by 7.
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
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
1/3 as a percent I REALLLLYY NEED GOUR HELPP
Answer:
33% or 33.3% or 33.33%
Step-by-step explanation:
1/3 as a decimal is 1 divided by 3 which ends up being an infinite number: 0.33333333333333333333333...
But you can write it as 33% or 33.3% or 33.33%
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
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:
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:
