Answer: Simple random sampling
Step-by-step explanation:
Simple random sampling is a sampling method where every member of the population of interest has an equal chance of being picked. It is the simplest sampling method as there are no parameters for picking members.
In using the entire company database and simply selecting members using a lottery style, - which is a random style - the managers of this movie theatre were using a simple random sampling method.
Five cups of rice will server 8 people. Exactly how many cups of rice are needed to server 14 people?
Answer:
8.75 cups
Step-by-step explanation:
We can write a ratio to solve
5 cups x cups
---------- = -----------
8 people 14 people
Using cross products
5*14 = 8x
70 = 8x
Divide by 8
70/8 = 8x/8
8.75=x
Step-by-step explanation:
8 people => 5 cups
1 person => 5/8 cups
14 people => 5/8 ×14 = 35/4 cups
ig so this is correct I can give u 93.69% guarantee
I need help ASAP plzzzzzzzzzzzzz
Answer:
3/4
Step-by-step explanation:
Let's say that r is the radius of the large circle or the diameter of the small circle.
Area of the big circle is [tex]\pi r^{2}[/tex] .
Area of the small circle is [tex]\pi \frac{r}{2} ^{2} = \pi \frac{r^{2}}{4}[/tex].
The ratio of these 2 circles is 1/4 (calculation in the comments).
So the shaded part represent 1 - 1/4 = 3/4.
3. If triangle ABC has the following measurements, find the measure of angle A.
a = 17
b = 21
C = 25
9514 1404 393
Answer:
(a) 42.3°
Step-by-step explanation:
Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050
A = arccos(777/1050) ≈ 42.3°
The measure of angle A is about 42.3°.
_____
Additional comment
The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.
Answer:
(a) 42.3°
Step-by-step explanation:
Solve the following given problem
Answer:
The radius is 3.5cm
Step-by-step explanation:
Given
[tex]V = 192.5cm^3[/tex]
[tex]h = 5cm[/tex]
Required
The volume (V)
The volume of the vase is:
[tex]V = \pi r^2h[/tex]
So, we have:
[tex]192.5 = 22/7 * r^2 * 5[/tex]
Divide by 5
[tex]38.5 = 22/7 * r^2[/tex]
Multiply by 7/22
[tex]12.25= r^2[/tex]
Take positive square roots
[tex]r = 3.5[/tex]
–8, –4, 0, 4, 8, 12 What do these terms represent? an arithmetic series an arithmetic sequence a geometric series a geometric sequence
Answer:
Arithmetic sequence
Step-by-step explanation:
An list of numbers whereby the difference between each consecutive number is constant is called an arithmetic sequence. Given thelistvif numbers:
–8, –4, 0, 4, 8, 12 ;
We can see that each consecutive number in the list has a constant difference of 4. Hence x this is called an arithmetic sequence.
rationalise 3 square root 2 divided by square root 3
Answer:
root3
Step-by-step explanation:
multiply the numerator and denominator by the root of 3
3root2×root3/root3×root3
3root6/3
note root3×root3=3
the 3 up will divide the 3 down
and that lives u with the answer root2
sorry currently won't have a way of writing the roots thats y am using words
two triangles are similar what is x
Answer:
x = 10
Step-by-step explanation:
smaller triangle / bigger triangle = 20 / 28
hence,
3x / (4x+2) = 20/28
28(3x) = 20(4x+2)
84x = 80x + 40
4x = 40
x = 10
NEED EXPLANATION TOO! THANKS BESTIES
There are 3 different trains running to London. One train
leaves every 10 minutes, another leaves every 35 minutes,
and the last one leaves every 40 minutes. They first leave at
5:30am. What Time do they all leave again at the same time?
Answer:
2:50pm
Step-by-step explanation:
You have to find the least common multiple (LCM) between the 3 times. If you don't know what is the LCM, just say it and I'll try to explain for you in the comments.
10, 35, 40 have as LCM the number 560
So it means they'll leave together 560 minutes after 5:30am
One hour is 60 minutes, so we can divide 560 by 60 to find the time in hours:
560/60 = 9 hours and 20 minutes (the rest of the division will be the minutes)
So, they'll leave together at 2:50pm
10.
Define an operation ★ on the set of real numbers as follows:
a ★ b = 0.5ab
If 0.1 ★ b = 10, then evaluate bb.
a. 500
b. 200
c. 20
d. 50
Please explain how you got your answer.
If a ★ b = 0.5ab, then
0.1 ★ b = 0.5 (0.1) b = 0.05b = 10
==> b = 10/0.05 = 200
please help me i will give 20 points for this question
Answer:
1. a. 2
b. -½
c. y - 3 = -½(x - 8) => point-slope form
y = -½x + 7 => slope-intercept form
2. a. -1
b. 1
c. y - 5 = 1(x - 3) => point-slope form
y = x + 2 => slope-intercept form
Step-by-step explanation:
1. (8, 3) and (10, 7):
a. The gradient for the line joining the points:
Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (8, 3) = (x_1, y_1) [/tex]
[tex] (10, 7) = (x_2, y_2) [/tex]
Plug in the values
Gradient = [tex] \frac{7 - 3}{10 - 8} [/tex]
Gradient = [tex] \frac{4}{2} [/tex]
Gradient = 2
b. The gradient of the line perpendicular to this line = the negative reciprocal of 2
Negative reciprocal of 2 = -½
c. The equation of perpendicular line if it passes through the first point, (8, 3):
Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).
Where,
(a, b) = (8, 3)
Slope (m) = -½
Substitute (a, b) = (8, 3), and m = -½ into the point-slope equation, y - b = m(x - a).
Thus:
y - 3 = -½(x - 8) => point-slope form
We cam also express the equation of the perpendicular line in slope-intercept form by rewriting y - 3 = -½(x - 8) in the form of y = mx + b:
Thus:
y - 3 = -½(x - 8)
y - 3 = -½x + 4
y - 3 + 3 = -½x + 4 + 3
y = -½x + 7
2. (3, 5) and (4, 4):
a. The gradient for the line joining the points:
Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (3, 5) = (x_1, y_1) [/tex]
[tex] (4, 4) = (x_2, y_2) [/tex]
Plug in the values
Gradient = [tex] \frac{4 - 5}{4 - 3} [/tex]
Gradient = [tex] \frac{-1}{1} [/tex]
Gradient = -1
b. The gradient of the line perpendicular to this line = the negative reciprocal of -1
Negative reciprocal of -1 = 1
c. The equation of perpendicular line if it passes through the first point, (3, 5):
Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).
Where,
(a, b) = (3, 5)
Slope (m) = 1
Substitute (a, b) = (3, 5), and m = 1 into the point-slope equation, y - b = m(x - a).
Thus:
y - 5 = 1(x - 3) => point-slope form
We can also express the equation of the perpendicular line in slope-intercept form by rewriting y - 5 = 1(x - 3) in the form of y = mx + b:
Thus:
y - 5 = 1(x - 3)
y - 5 = x - 3
y - 5 + 5 = x - 3 + 5
y = x + 2
y= -(x+3)^2 -5
What is the leading coefficient?
How do you find the vertex?
Answer:
To find the leading coefficient, first expand the function:
[tex]y= -(x+3)^{2} -5\\\\y=-(x^{2} +6x+9)-5\\\\y=-x^{2} -6x-9-5\\\\y=-x^{2} -6x-14[/tex]
The leading coefficient is the coefficient of the highest-order term, which, in this case, would be the -1 from -x².
To find the vertex: see image below
Vertex = (-3, -5)
AXYZ has side lengths that measure 20 centimeters each. Which of the
following best describes this type of triangle?
A. Scalene triangle
B. Right triangle
C. Obtuse triangle
D. Equilateral triangle
Step-by-step explanation:
The triangle is equilateral (OPTION D) because any triangle that has 3 equal side lengths is an equilateral triangle.
For the Parabolay = (x + 7)2 – 3. the equation for the Line Of Symmetry is
Answer:
Hello
Step-by-step explanation:
Axis of symmetry is vertical:
x=-7 (since (-7,-3) is the vertex)
Answer:
x = -7
Step-by-step explanation:
y = (x+7)^2 -3
This is in vertex form
y =a(x-h)^2+k where (h,k) is the vertex and the line of symmetry for a vertical parabola is x=h
y = (x- -7)^2 -3
x = -7
Write an equation in standard form of the line that passes through the given point and has the given slope (-8,0); m= -4 PLEASE HELP NEED DONE ASAP WILL GIVE BRAINLIEST
Answer:
4x+y=-32
Step-by-step explanation:
given,
slope (m) = -4
point: (-8,0)
as we know the slope intercept form of the line is, y=mx+b, b=y-mx, now we put x=-8, y=0 to find b [because the point is given (-8,0) so it must satisfy the equation]
so,
b = 0-(-4)×(-8) = -32
y=mx+b
or, y=-4x-32
or, 4x+y=-32
(this is the standard form of the line)
Using the equation y - y1 = m(x - x1)
y - 0 = -4(x - (-8))
y = -4(x + 8)
y = -4x - 32
A person can run 3 miles per minute. (Convert to miles per hour to decide.)
O True
O False
it depends upon a persons pace a average pace is 9-10 mins
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
-2x + 4y = 10
3x - 2y = -7
A. Multiply the top equation by 2 and the bottom equation by 3.
B. Multiply the bottom equation by 2.
C. Multiply the top equation by -3.
O D. Multiply the top equation by 3 and the bottom equation by -2.
Answer:
Multiply the bottom equation by 2
Rewrite in simplest rational exponent form √x · 4√x. Show each step of your process. The problem is down below in the image in case my written version of it doesn't depict it correctly.
Step-by-step explanation:
x will be raised to the power of 1 if there's no power associatiated to it. Thus, you will have to flip the numbers to turn it into exponential form
one class collects 8 1/4 pounds of recyclable materials. Another class collects 1 1/2
Step-by-step explanation:
what to find then??.........
Helpppppppppppppppppppppppp im not smart pls don't just say some bull i need help ill just get it deleted
Answer:
a. 6m
b. m-2
c. 5(m-2)
d. 6m +5m -10= 56
E. 11m=66
divide by 6: m=6
Maple Granola= 6$
Apple Granola= 4$
Select all the expressions equivalent to 2(x + 3)
2(x + 3) = 2x + 6
1. Correct - 2 * (x + 3) = 2x + 6
2. Correct - (x + 3)2 = 2x + 6
3. Correct - 2x + 6
4. Incorrect - 2x + 3
5. Incorrect - 2x + 3
6. Incorrect - 3x + 6
Hope this helps!
if x^2=y^2+z^2
what does x equal?
Answer:
[tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertyAlgebra i
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle x^2 = y^2 + z^2[/tex]
Step 2: Solve for x
[Equality Property] Square root both sides: [tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]Please help simple alebgra! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.
Will mark brainliest!
9514 1404 393
Answer:
g(x) = 7x -1
Step-by-step explanation:
The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.
g(x) = f(x) -4
g(x) = 7x +3 -4
g(x) = 7x -1
4(3−y)=6−2(1−3y) Enter your answer in the box. y=
Answer:
12-4y=4-12y
8y=-8
y=-1
Answer:
y= 0.8
Step-by-step explanation
4(3−y) = 6−2(1−3y)
12−4y = 6−2(1−3y)
12−4y = 6−2+6y
12−4y = 4+6y
12 = 4+10y
8 = 10y
0.8 = y
This is correct i just took the test. I hope this helps :)
Can someone please do this for me please
Answer:
r=-11
Step-by-step explanation:
7r+2=5(r-4)
7r+2=5r-20
2r=-22
r=-11
WHO CAN HELP ME WITH THIS QUESTION
Answer:
No
Step-by-step explanation:
These two triangles aren't similar. The left triangle angle measures are 30,60,90. The left triangle measure is 35,55,90.
The side lengths aren't proportional as well. These triangles not similar.
Answer: I'm not sure but
similar : no
similarity statement: it's not similar because the corresponding angle of the two triangle are different
scale factor : 8/4 = 2 ( so, triangle ABC is 2 times the size of triangle LMN)
Step-by-step explanation:
600 becomes 720 in 2 years when the interest is simple if the rate of interest is increased by 2% then what will be the total amount.
Hi
So: 720 -600 = 120
120 for two years makes 120/2 = 60 in a year .
60 from 600 is 600/60 = 10
Interest is 10 %
If interest in 2% more, then it's 12%.
I'm sure you can count 12% simple interest for two years, so I let you try.
good luck.
18 cards are numbered from 11 to 29 if one card is chosen at random, what is the probability that if contains the digit
The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
Answer:
59°
58.3 inches
Step-by-step explanation:
Here is the full question :
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Please check the attached image for a diagram explaining this question
The angle the ladder makes with the ground is labelled x in the diagram
To find the value of x given the opposite and adjacent lengths, use tan
tan⁻¹ (opposite / adjacent)
tan⁻¹ (50 / 30)
tan⁻¹ 1.667
= 59°
the length of the ladder can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√(50² + 30²)
√(2500 + 900)
√3400
= 58.3 inches
1. Which of the following is an algebraic expression?
a. X+5= 7
b. 5-2x = 3
C. 5x +4- 2x
d. -2 = 3x + 1
1.
C. 5x + 4 - 2x is an algebraic expression
The amount of money Aria has in the bank after T years is determined by the equation A = 1,000 · 1.0512^T. After how many years will Aria have $2,000 in the bank?
(1) 12.9 (2) 13.9
(3) 14.9
(4) 15.9
Answer:
Step-by-step explanation:
You are given most of the equation that you need to solve. To find the number of years it will take to have 2000, sub in 2000 for A and solve:
[tex]2000=1000(1.0512)^t[/tex] and begin by dividing away the 1000 on both sides to get
[tex]2=(1.0512)^t[/tex] now we have to take the natural log of both sides:
[tex]ln(2)=ln(1.0512)^t[/tex]. Taking the natural log allows us to bring the t down out front:
ln(2) = t ln(1.0512) and now divide both sides by ln(1.0512):
[tex]\frac{ln(2)}{ln(1.0512)}=t[/tex] and do this on your calculator to get
t = 13.9 years
Answer:
T = 13.9
Step-by-step explanation:
A = 1,000 · 1.0512^T
Let A = 2000
2000 = 1,000 · 1.0512^T
Divide each side by 1000
2000/1000 = 1,000/1000 · 1.0512^T
2 = 1.0512^T
Take the log of each side
log 2 = log 1.0512^T
We know log a^b = b log a
log 2 = T log 1.0512
Divide each side by log 1.0512
log 2 / log 1.0512 = T
T=13.88172
Rounding to the nearest tenth
T = 13.9
