Step-by-step explanation:
[tex]range = (3,7,1) - (9,6,7) \\ = ( - 6,1, - 6) \\ distance = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } \\ = \sqrt{ {( - 6)}^{2} + {1}^{2} + {( - 6)}^{2} } \\ = \sqrt{73} \\ = 8.5 \: units[/tex]
The distance between points (3,7,1) and (9,6,7) is 8.54 units and the midpoint of the segment is (6, 6.5, 4).
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
We need to find the distance between points (3,7,1) and (9,6,7).
Distance=√(9-3)²+(6-7)²+(7-1)²
=√6²+(-1)²+(6)²
=√36+1+36
=√73
=8.54 units
So the distance between the two points is approximately 8.5 units.
To find the midpoint of the segment between the two points, we use the midpoint formula:
midpoint = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2)
Using the given points, we have:
midpoint = ((3+9)/2, (7+6)/2, (1+7)/2)
= (6, 6.5, 4)
So the midpoint of the segment is (6, 6.5, 4).
Hence, the distance between points (3,7,1) and (9,6,7) is 8.54 units and the midpoint of the segment is (6, 6.5, 4).
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Which values are solutions of the inequality 5 < y -8
8 , 9. , 13. , 15. , 20
Answer:
5 is greater than y-8 since 5 is positive it + in the begging +5 while - 8 is less than 0 because it has - in the begging
Answer: 15 and 20
Step-by-step explanation:
just did this
Find the number of sides of a regular polygon if the sum of the interior angles of the
polygon is 7020
Answer:
n = 6
Step-by-step explanation:
Given the following data;
Sum of interior angles, S = 720°
Mathematically, the sum of the interior angles in a regular polygon is given by the formula;
S = 180(n - 2)
Where;
n is the number of sides.
S is the sim of the interior angles
720 = 180(n - 2)
720 = 180n - 360
180n = 720 + 360
180n = 1080
n = 6
How many degrees Fahrenheit is -20°C?
answer:
-4°f
step-by-step explanation:
(-20°c × 9/5) + 32
= -4°f
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Use the following dot plot to answer the questions.
What is the mean of the set?
If an additional dot is added to the set in the 3 column, how will the mean change? What will the new mean be?
Answer:
3.4
Decrease ; 3.375
Step-by-step explanation:
Mean = Σfx / Σf
Σfx = (1 * 2) + (2 * 2) + (3 * 3) + (4 * 9) = 51
Σf = 1 + 2 + 3 + 9 = 15
Mean = 51 / 15 = 3.4
If 1 more dot is added to the 3rd column:
Σfx = (1 * 2) + (2 * 2) + (3 * 4) + (4 * 9) = 54
Σf = 1 + 2 + 4 + 9 = 16
Mean = 54 / 16 = 3.375
Find the perimeter X(-2,1) Y(4,3) Z(5,-1)
Answer:
17.728
Step-by-step explanation:
Find the value that makes the proportion true
5/6= ?/180
Answer:
D, or 150
Step-by-step explanation:
We can see that we have to multiply 6 by 30 to get 180. So, if we multiply the denominator by this and we want an equal fraction, we can multiply 5 by 30 to get [tex]5\cdot30=150[/tex].
Answer/Step-by-step explanation:
I think its "D. 150"!
-Hope this helped, Comment if you have any other questions!
The radius of a circle is 6.1 millimeters. What is the circle's area?
[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]
A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 3 centimeters.
What is the volume of the prism?
20 cm3
36 cm3
47 cm3
60 cm3
Answer:
60 cm3 is the volume of the prism
Step-by-step explanation:
Because the formula for volume is length * width * height!
please mark the brainliest!
Answer:
60
Step-by-step explanation:
Find the absolute value
|-7|
Answer:
7
Step-by-step explanation:
hello :
|-7| = - (-7) = 7
Answer:
the absolute value of l-7l is 7
hope it helps.
2. Celesta used to spend 90 minutes a day on the phone. Now she spends
60 minutes a day. What is the PERCENT DECREASE? *
Answer:
33%
Step-by-step explanation:
sorry my bad i did percentage increase.
What is the volume of an 8-inch by 4-inch by 44-inch rectangular box?
Answer:
1408
Step-by-step explanation:
Answer:
1,408 cm³.
Step-by-step explanation:
To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.
[tex]4*8*44=1,408 in^3.[/tex]
Therefore, the volume of the rectangular box is 1,408 cm³.
Select the FALSE statement regarding the relationship between sampling error and sample size. a.) As a sample size decreases, the standard deviation increases. b.) An estimate becomes more accurate as you increase the sample size. c.) You can resolve poor data collection by increasing the sample size. d.) Increasing the sample size will decrease the sampling error.
Answer:
Option C
Step-by-step explanation:
The standard deviation of any sample is inversely proportional to the size of the sample. Thus, as the sample size increases, the standard deviation reduces or vice versa. Thus, option A is in correct
As the sample size increases, the confidence in estimate also increases Hence, option B is also incorrect
Option D is true to its words , hence it is also a wrong choice for this question
Hence, option C is correct
Answer:
You can resolve poor data collection by increasing the sample size
Step-by-step explanation:
Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
- NO LINKS DOCS OR FILES ETC
Answer:
1.75 * 0.84
Step-by-step explanation:
1.74 * 0.84 = 1.4616
1.79 * 0.69 = 1.2351
Answer:
1.74 x 0.84 is greater
Step-by-step explanation:
1.74 x 0.84 = 1.4616
while
1.79 x 0.69 = 1.23509
17/3 divided by 2/3 help please!:))
Answer:
0.94444444444
A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the
radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
The tank must remain intact for lears.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)
Answer:
t = 1180 years
Step-by-step explanation:
We will solve this using the radioactive decay formula which is;
A = A_o × 2^(-t/h)
Where;
A = Amount of liquid remaining after time (t)
A_o = initial amount of liquid at initial time
t = time of decay
h = half-life of the liquid
We have;
A_o = 1(we assume it is 100% which is 1)
A = 0.02% = 0.0002
h = 96 years
Thus;
0.0002 = 1 × 2^(-t/96)
0.0002 = 2^(-t/96)
(-t/96)log 2 = log 0.0002
(-t/96) = (log 0.0002)/log 2
(-t/96) = -12.2877
t = 96 × 12.2877 (negative has canceled out)
t = 1179.6192
To the nearest year gives;
t = 1180 years
Write the trigonometric ratio for cos X as a fraction and as a decimal rounded to the nearest hundredth
Answer: The correct choice is letter C.
Step-by-step explanation:
Cosine = adjacent/hypotenuse
In this triangle, you are looking for angle degree of cos X.
When finding an angle degree, you must use the inverse of whatever trig ratio you are using. In this case, you would use [tex]cos^{-1}[/tex].
The adjacent side from x is 12 and the hypotenuse is 15.
So you form your trig ratio which is your answer.
[tex]cos^{-1}[/tex] [tex]\frac{12}{15}[/tex] = 0.80
The identity (x2 + y2) = (x2 - y2) + (2xy)? can be used to generate Pythagorean triples. What
Pythagorean triple could be generated using x=8 and y=3
Answer: 5329, 3025, 2304
Step-by-step explanation:
I just did the test
Pythagorean triple generated is 5329
What is Pythagorean triple?
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime
We have,
([tex]x^{2}[/tex]+[tex]y^{2}[/tex] )=( [tex]x^{2}[/tex]-[tex]y^{2}[/tex]) + [tex]2xy[/tex]
Using Points,
x =8, y=3
According to the questions
Taking square in both sides
[tex](x^{2} + y^{2}) ^{2}[/tex] = [tex](x^{2} - y^{2} ) ^{2}[/tex] + [tex](2xy)^{2}[/tex]
when, x = 8, and y = 3
[tex](8^{2} + 3^{2} )^{2}[/tex] = [tex](8^{2} - 3^{2}) ^{2}[/tex] + [tex](2.8.3)^{2}[/tex]
= 3025 + 2304
= 5329
Hence ,Pythagorean triple is 5329
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-5 3/4 - 3 1/2 =?
A)2 1/4
B)-9 1/4
C)-2 1/4
D)-8 2/3
Answer:
-9 1/4
Step-by-step explanation:
-5 3/4 - 3 1/2
Get a common denominator
-5 3/4 - 3 1/2 *2/2
-5 3/4 - 3 2/4
-8 5/4
Rewritng
-8 4/4 - 1/4
-9 1/4
Help pls might give brainlist also show work if needed!
Answer:
The mean is 21.
The median is 21
There is no mode here.
Step-by-step explanation:
Find the surface area of the cone. Round answer to the nearest tenth.*
Answer:
628.319 rounded= 628.3
Step-by-step
H
45
G
8
F
3
Ε
Find
cos FHE.
Answer:
no sé pero lo nesesito porfavor
Answer:
Its B. 4/5
Step-by-step explanation:
on edge 2020 :)
You have a collection of 30 coins, all of which are dimes and quarters. The total of your collection is $5.10 how many of each kind of coin do you have
Pls help 10 ptsss
NO LINKS
Answer:
0,15/ 5,20/ 10,25/ 15,30/ 25,35
Step-by-step explanation:
the additional hours is x and total hours is y.
A copy machine makes 84 copies in 3 minutes and 30 seconds, how many copies does it make per minute.
Answer:
24
Step-by-step explanation:
3 minutes and 30 seconds = 3.5 minutes
84/3.5 = 24copies/minute
Mr. Matthews gives each of his 32 students 15 minutes to
present a book report to the class. How many minutes
will it take for all of his students to present their reports?
Answer:
480 minutes or 8 hours
Step-by-step explanation:
1 student = 15 minutes
32 students = x
x= 32 students *15 minutes
x= 480 minutes
480 minutes it takes for all of his students to present their reports.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total Students= 32
Each student can take = 15 minutes.
So, time taken by 32 students
= 32 x 15
= 480 minutes.
Hence, students take 480 minutes to complete the report.
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What is a hand drawn picture or design of a 3D object
Answer:
hello
Step-by-step explanation:
i think it is modelling
hope it helps
have a nice day
I am pretty sure it's modeling!
what is the approximate volume for a ice cream cone with a radius of 3 and a diameter of 14
Answer:
131.95
Step-by-step explanation:
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
[tex]v = \frac{1}{3} \times 3.142 \times {3}^{2} \times 14 \\ v = \frac{1}{3} \times 3.142 \times 9 \times 14 \\ v = 131.964 {cm}^{3} [/tex]
Beth has a box containing music CDs. Each CD contains songs from only one of these three genres: pop (P), hip-hop (H), and rock (R). She picks one CD from the box, replaces it, and then picks another CD. The sample space for this event is listed.
P-P H-P R-P
P-H H-H R-H
P-R R-R
What is the missing term for this compound event? What is the sample size?
A.
The missing term is H-P, and the sample size is 9.
B.
The missing term is H-R, and the sample size is 9.
C.
The missing term is H-P, and the sample size is 3.
D.
The missing term is H-R, and the sample size is 3.
Answer:
B). The missing term is H-R, and the sample size is 9.
Step-by-step explanation:
Compound event is characterized as the likelihood of occurring two autonomous events at least one or more than one probable outcome.
As per the details provided, 'the term that is omitted in the given event of the compound would be (H-R) and the size of the sample would be 9(' including this missing one. The eight combination possibilities of the CDs have already been provided and thus, the last one would be 'H-R'(hip-hop and rock music CDs). This is why the total number of possibilities turns 9. Thus, option B is the correct answer.
Answer: the answer is B :)
Step-by-step explanation:
What is 103% of 127?
Answer:
130.81
Step-by-step explanation:
127 ⋅ ( 103/ 100 ) =130.81
In the figure to the right, what is the measure of angle DAC ?
I’m not going to show answer Options because I don’t want anyone to put something random
Don’t put links cs I’m not going to press it <3
Answer:
47 degrees
Step-by-step explanation:
i am super smart