Answer: Yes
if the selection is randomly picked and it's within the statistical population.
Step-by-step explanation:
Sampling is the random selection of objects within the statistical data or population.
This random selected individual will represent the whole population.
If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.
The initial point of a⃗ is (−2,4), and its terminal point is (−5,−2). What is the value of ‖a⃗ ‖? Give your answer as a simplified radical.
Answer:
[tex]3\sqrt{5}.[/tex]
Step-by-step explanation:
It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as
[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]
[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]
[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]
The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is
[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]
The magnitude of [tex]\vec{a}[/tex] is
[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]
[tex]|\vec{a}|=\sqrt{9+36}[/tex]
[tex]|\vec{a}|=\sqrt{45}[/tex]
[tex]|\vec{a}|=3\sqrt{5}[/tex]
Modulus of magnitude is
[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]
So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]
Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?
Answer:
3n+6
Hope this helps you
Answer:
3n+6
Step-by-step explanation:
There are 30 dogs at the park. 56 of the dogs are large.
Which method is a way to find the number of large dogs at the park?
Answer:
30-56
Step-by-step explanation:
It would be to Multiply 30 and [tex]\frac{1}{6}[/tex].
Za and Zb are complementary angles. Za measures 22º.
What is the measure of Zb?
Answer:
b = 68
Step-by-step explanation:
Complementary angles add to 90 degrees
a+b = 90
22+b = 90
Subtract 22 from each side
b = 90-22
b = 68
Answer:
68 degrees
Step-by-step explanation:
Complementary Angles: The sum of the angles is 90 degrees.
If angle a is 22 degrees, then...
a + b = 90
22 + b = 90
22 - 22 + b = 90 - 22
b = 68
That means that the measure of angle b is 68 degrees.
I hope this helps! Have a great day!
A right pyramid on a base 4cm square has a slant edge of 6cm Calculate the volume.
2. The slant edge of a right pyramid with rectangular base is 14. 6cm and height is 1.2 cm .If the length of one of the sides of the base is 8. 4 cm find the surface area.
Please help with at least one.
Please show workings.
Answer:
L*b
6*4
24cm
L*b*h
14.6m *1.2cm *8.4cm
=147.168
Answer:
This is the answer to No 1.
Volume= 48√5
Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)
Answer:
x^3 + 3x^2 + 4x + 12
I will give the brainliest answer
Answer:
82units²
Step-by-step explanation:
=2(3*7)+2(3*2)+2(7*2)
=82 units²
Answer:
[tex]82 {units}^{2} [/tex]
Step-by-step
explanation
explanation is attached to the picture
hope this helps
brainliest appreciated
good luck! have a nice day!
Work this out for meee
Answer:
87.5cm²
Step-by-step explanation:
area of trapezium = 1/2 (a+b)h
1/2 × (10 + 15) ×7
1/2 × 25 × 7
1/2 × 175 = 87.5
Answer:
87,5 cm²
Step-by-step explanation:
A = (b + B)×h/2
= (10cm + 15cm)×7cm/2
= 25cm×3,5cm
= 87,5 cm²
This mapping represents a function named f .
Which of the chices also represents the function, f?
Answer:
Last option (the drawn)
Step-by-step explanation:
The following points correspond to f:
(3, -2), (9, 2)
The slope of the line (m) is:
m = (2 - (-2))/(9 - 3) = 4/6 = 2/3
Therefore, the first option is incorrect (its slope is 3/2).
To find the y-intercept (b) of the line, we replace a known point and the slope into the general equation:
y = mx + b
2 = 2/3(9) + b
b = 2 - 6
b = -4
Therefore, the third option is incorrect (it add 4 instead of subtracting 4).
Replacing x = 6 into the equation we get:
y = 2/3(6) - 4
y = 0
then, point (6, 0) belongs to the line. Therefore, the second option is incorrect (it has the point (6, 1) instead); and the fourth option is correct (it is a line that includes points (0, -4) and (6, 0)).
Answer: the 4th answer is correct
Please help me solve this puzzle.
Step-by-step explanation:
marmiad=10
trident=6
pearls =4
10+6×4
=16×4
=64
hey!!
Answer:34
Step by step explanation:
4+4+4=12
4+4+10=18
6+10+10=26
10+6*4=34
hope it helps..
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour
Answer:
D
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(390-260)/(6-4)
m=130/2
m=65/1
every hour, a car travels 65 miles
D
Answer:
65/1
Step-by-step explanation:
write a^4*a^2 without exponents
Answer:
a x a x a x a x a x a
Step-by-step explanation:
a^4 x a^2
a x a x a x a times a x a
= a^6 or a x a x a x a x a x a
Sydney bikes 32 miles in 2 hours and 64 miles in 4 hours. He bikes at a constant rate. Which function gives the distance d that he travels in t hours?
A. d= 64 t
B. d= 32 t
C. d= 16 t
D. d = 8 t
Answer:
C. d = 16t
Step-by-step explanation:
Since she is biking at a constant rate, then you would just have to divide 32 by 2 to get 16, which would be the speed Sydney would ride in the matter of one hour. So for how many hours she bikes, multiplied by 16, would be the distance that she travels in said time.
HELLO PLEASE HELO ME.
Answer:
the answer is 33
Step-by-step explanation:90 - 57=33
Answer:
33 degrees
Step-by-step explanation:
90-57=33
Which expression gives the length of the transverse axis of the hyperbola
shown below?
Explanation:
Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.
As definition of hyperbola:
Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.
So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a
x-y=2a
Length of transverse axis is x-y.
hope it helps....
Good luck on your assignment
The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have given a hyperbola shown in the picture.
The green line indicates the transverse axis of the hyperbola.
As we know,
The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.
Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.
x-y=2a
The length of the transverse axis = x - y
Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
Learn more about the hyperbola here:
brainly.com/question/12919612
#SPJ5
29 40 40 40 40 41 51 56 62 63 whats the interquarile range
Answer:
At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.
Based on you doing so we take the 56-40 = 16 range
If you haven't included outside numbers
We take the 63-29 = 34 range
Step-by-step explanation:
Whats the radius of this?
Answer:
Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8
Think outside the box 4 is radius 8 is diamaterHELP ME ASAP IT IS DUE TODAY!!!!!!!! WHOEVER ANSWER THIS WILL BE REWARDED
Answer:
Large Pizza
Step-by-step explanation:
Rewarded with what? :P
Anyway,
The area of a circle is pi*r^2. Additionally, the radius is half the diameter.
The first pizza(s) have diameter 12, which means they have radius 6. The area of one is 6*6*pi=36pi, and since there are two we multiply by 2 to get 72pi.
The second pizza has diameter 18, so radius 9. The area of it is 9*9*pi=81pi.
Clearly 72pi is less than 81pi, so the Large Pizza is biggest.
Hope that helped,
-sirswagger21
(oh yeah and btw give me a million bucks for the reward ty :v)
Lily likes to collect records last year she had
15 records in her collection this year she
has 24 records what is the increase of her
collection
Y=4x + 6
Y = 6x - 12
Solve the systems of equation by substitution
Answer:
x=9, y=42
Step-by-step explanation:
y=4x+6
y=6x-12
Substitute the second equation into the first:
6x-12=4x+6
Subtract 4x from both sides:
2x-12=6
Add 12 to both sides:
2x=18
Divide both sides by 2:
x=9
Plug this back into one of the equations to find y:
y=4(9)+6=36+6=42
Hope this helps!
Can the two triangles be proven congruent by SAS? Explain. answers: A) Yes. The shared side, image, provides enough information for SAS. B) No. There's only enough information provided for ASA. C) Yes. Angle B and angle D can be assumed to be right angles. D) No. The shared side, image, would provide enough information for SSA, but this is not a congruence theorem.
Answer:
A) Yes. The shared side, image, provides enough information for SAS.
Step-by-step explanation:
pls help (mathematics)
Answer:
Answer is C.
Step-by-step explanation:
When radius is 1, the volume is 4. When radius is 2, it's 32. Which means It becomes 8 times bigger because 32 divided by 4 (32/4) is 8.
Answer:
its not D and its not A or B so the answer would be C...
Step-by-step explanation:
Please help me with the question
Answer:
C
Step-by-step explanation:
5a+ 18 < -27
Subtract 18 from each side
5a+18-18 < -27-18
5a < -45
Divide each side by 5
5a/5 < -45/5
a < -9
Open circle at 9, line doing to the left
Given the table of values below, which of the following ordered pairs are
found on the graph of the inverse function?
х
-2
-1
0
1
2
f(x)
12
10
8
6
4
Answer:
(12,-2), (10,-1), (8,0), (6,1) and (4,2).
Step-by-step explanation:
If a function is defined as
[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]
then its inverse is defined as
[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]
It means coordinates of ordered pairs are interchanged.
From the given table it is clear that the function passing through the points (-2,12), (-1,10), (0,8), (1,6) and (2,4).
Using the above definition, we can say that the inverse function passing through the points (12,-2), (10,-1), (8,0), (6,1) and (4,2).
Therefore, the required ordered pairs are (12,-2), (10,-1), (8,0), (6,1) and (4,2).
URGENT!!! HELP
Gina has purchased 100 songs from the internet. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:
(Graph attached below)
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)
Answer:
Initial value is 100
Step-by-step explanation:
A) rate of change would be dividing the number of songs wanted (100) by the number of weeks downloading (5)
100/5 = 20
since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -20
Initial value is 100, which is the total number of songs they want
Answer:
Part A:
initial value = 100 (total amount of songs to download)
rate of change = -20 songs/week (100-80 and so on)
Part B:
y = -20x + 100
Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.
Answer:
A(√2) would be the correct answer.
Answer:
[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]
Step-by-step explanation:
[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths for the shadows. choose two answers
Answer:
Step-by-step explanation:
6.8/3 is the scale factor
1.35*(6.8/3)=3.06
1.8*(6.8/3)=4.08
3.75*(6.8/3)=8.5
8.5-8.35=0.15
3.4-3.06=0.34
since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose
Option B is definetly right, but what about another option, is there an option D?
A photograph measures 8 1/2 inches by 5 3/4 inches. Find its area.
Answer:
48 7/8
I hope this helps.
Answer:
Step-by-step explanation:
48 7/8
Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse
34°, acute
134°, obtuse
44°, right
54°, acute
Answer:
x = 44
right
Step-by-step explanation:
The sum of the angles in a triangle add to 180
90+ 46+x = 180
Combine like terms
136+x = 180
Subtract 136 from each side
136+x-136=180-136
x =44
Since we have a 90 degree angle it is a right triangle
Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figurine. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.
This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.
15x + 30 ≥ 360
5x + 8y ≤ 100
Which solution is valid within the context of the situation?
A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)
Answer:
A
Step-by-step explanation:
B,C,D are not in the pink/purplish area when you plot them on the graph
Brainliest plzDear some moderators,
read before you delete no brainers!
From, a brainly user
Answer:
A. (4,10)
Step-by-step explanation: