Answer:
The size of the sample 'n' = 2401
Step-by-step explanation:
Step:1
Given that the margin of error = 2 % = 0.02
The margin of error is determined by
[tex]M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
we know that the proportion
[tex]\sqrt{p(1-p)} < \frac{1}{2}[/tex]
Step:2
The margin of error is determined by
[tex]0.02 = \frac{1.96( \frac{1}{2} ) }{\sqrt{n} }[/tex]
[tex]\sqrt{n} = \frac{1.96}{2 X 0.02}[/tex]
√n = 49
Squaring on both sides, we get
n = 49 × 49
n = 2401
Final answer:-
The size of the sample 'n' = 2401
Unit 2: Sequences
Create a recursive rule and an explicit rule for
the sequence below. Then find the 15th term.
7, 11, 15, 19, ...
Create a recursive rule and an explicit rule for
the sequence below. Then find the 15th term.
3, 12, 48, 192, ...
Recursive Rule:
Recursive Rule:
Explicit Rule:
Explicit Rule:
15th term
15th term:
Answer:
steps below
Step-by-step explanation:
7, 11, 15, 19 ...
common difference (d) = 11-7 = 4
Recursive rule: A(n) = A(n-1) + d = A(n-1) + 4
Explicit rule: A(n) = A(1) + d * (n-1) = A(1) + 4 *(n-1) = 7 + 4 * (n-1) = 4n + 3
15th term: A(15) = 4 * 15 + 3 = 63
What is the sum of 1 1/2 + 4 1/2+ 3 1/2?
Answer:
[tex]9\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{2} +4\frac{1}{2} +3\frac{1}{2}[/tex]
[tex]\frac{3}{2} +4\frac{1}{2} +3\frac{1}{2}[/tex]
[tex]\frac{3}{2} +\frac{9}{2} +3\frac{1}{2}[/tex]
[tex]6+3\frac{1}{2}[/tex]
[tex]6+\frac{7}{2}[/tex]
[tex]\frac{19}{2}[/tex]
[tex]9\frac{1}{2}[/tex]
Answer:
[tex]9\frac{1}{2}[/tex] or 9.5
Step-by-step explanation:
1.5 + 4.5 + 3.5 = 9.5
[tex]\frac{3}{2} + \frac{9}{2} + \frac{7}{2} = 9\frac{1}{2}[/tex]
[tex]\huge\boxed{Mark as Brainliest\hookedleftarrow}[/tex]
Find the value of the measure!!!
Answer:
50
Step-by-step explanation:
3x - 40 = 2x + 10 - G and j are both parallel angles, meaning they're equal to each other
3x - 40 = 2x + 10
-2x -2x
------------------------
x - 40 = 10
+40 +40
------------------------
x = 50
Find the exact volume of the cylinder. 8mm. 8mm
Answer:
V≈2.14×106
Step-by-step explanation:
i looked up volume of a cylinder, do the same.
4x - 6 + x + 3
ASAP BRAINLIEST
Answer:
5x - 3
Step-by-step explanation:
Add like terms: (4x + x) + (-6 + 3) = 5x - 3
Answer:
3x-3
Step-by-step explanation:
combine like terms, 4x-x=3x and -6+3=-3
Write a formula for the given measure. Let P represent the perimeter in inches, and w represent the width in inches. Identify which variable depends on which in the formula.
Complete Question:
Write a formula for the given measure. Let P represent the perimeter in inches, and w
represent the width in inches. Identify which variable depends on which in the formula.
*The perimeter of a rectangle with a length of 5 inches
Answer:
P = 2(5 + w)
Or
P = 20 + 2w
P is the dependent variable
w is the independent variable
P depends on w.
Step-by-step explanation:
Given:
Perimeter of rectangle = P
Width of the rectangle = w
Length of the rectangle = l = 5 in.
Formula for perimeter of a rectangle = 2(length + width)
Plug in the values. Formula for the given measure would be:
P = 2(5 + w)
Or
P = 20 + 2w
P is the independent variable, while w is the dependent variable.
This is because the Perimeter (P) of the rectangle is dependent on the width (w). Whatever value of w we get would determine the value of P were would get. Therefore,
P depends on w.
The ratio 2.5 metres to 70 centimetres can be written in the form 1 :n
Find the value of n
Answer:
n = 28.
Step-by-step explanation:
70 divided by 2.5 is 28
2x-14 factorise fully
Answer:
2(x-7)
Step-by-step explanation:
Factor 2x−14
2x−14
=2(x−7)
Answer:
2(x−7)
please help mee!!!lol
Answer:
X represents the number of product so 3 cause you have 2 pastas and 1 cheese. The length represents the total cost. I think 3 would represent cost? I'm not totally sure on that one. Hope this helps!
Step-by-step explanation:
Determine the center and radius of the following circle equation:
x2 + y2 – 10x + 8y + 40 = 0
Answer:
The center of this circle is (5, -4) and the radius is 1.
Step-by-step explanation:
First regroup these terms according to x and y :
x^2 - 10x + y^2 + 8y = -40
Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.
and the same for y^2 + 8y: y^2 + 8y + 16 - 16
Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:
x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.
Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:
Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:
(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:
(x - 5)^2 + (y + 4)^2 = 1
This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.
The center of this circle is (5, -4) and the radius is 1.
Answer:
Center (5,-4) Radius = 1
Step-by-step explanation:
Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.
(x-5)^2+y(-(-4))^2 = 1^2
Hence, center (5, -4) and radius 1.
A linear relationship is shown in the graph.
Which equation best represents the relationship between x and y?
will give brainly
Which sentence contains an error in the use of a restrictive clause?
How could you correct this error?
what's an example of a cube and a cube root?
Answer:Don't really understand the first part of your question but I'll answer it the way I see it
Example of a cube would be, 2^3=8
And the cubed root fo 2 would be 1.260
Step-by-step explanation:
Answer:
Step-by-step explanation:
3^3 would be like 3 times 3 times 3
64 cubed root would be a number that goes in to 64 3 times
i can’t really type it to show you sorry
The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales
by size and color for 407 notebooks. What is the experimental probability that the next customer buys a
red notebook with 150 pages? Enter your answer as a simplified fraction.
100 Pages
150 Pages
200 Pages
Red
59
65
Green
34
49
17
Blue
27
55
25
Yellow
13
21
15
27
The experimental probability is
Answer:
3/20
Step-by-step explanation:
Find the measure of the arc or angle indicated.
GEOMETRY
Thank you!
Answer:
89°
Step-by-step explanation:
By inscribed angle theorem:
[tex]m\angle ZXY =\frac{1}{2} \times 178\degree \\ \\ m\angle ZXY =89\degree [/tex]
Wich systems of equations would have NO solution?
(Answer with work for branliest)
comparing value
3x+2=-3x-2
6x=-4
x=-4/6Have solution.
for 2nd.y=-2x+10
y=-2x+10
both are equal So no solution.
3rd
y=-x+4
y=-x+4
both are equal So no solution
4th
3x+y=8
3x+y=9
both are equal So no solution
I need help with this question! I will vote brainliest!
Answer:
1. -10
2. -12x+8
Step-by-step explanation:
hope this helps :)
A cross section of a rectangular pyramid is made perpendicular to the base and through the vertex as shown. What is the area of the cross section?
Answer:
20 cm²
Step-by-step explanation:
1/2 ( 5 x 8 ) = 1/2 ( 40 ) = 20
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Jamal is making 2 1/2 batches of pizza dough. One batch requires 4/8cups of flour. Jamal takes the following steps to calculate how much flour he will need.
PLEASE HELP
Answer:
Step-by-step explanation:
1/2
1. Which of the following is NOT true about a square?
The angles have a sum of 180°.
The diagonals are congruent.
The diagonals are
perpendicular.
The diagonals bisect each other.
Answer:
the angles have a sum of 180°
Lulu has raised 34 3 4 of the money she needs for a field trip. 12 1 2 of that money came from candy sales. What fraction of the total money needed for the field trip came from candy sales?
Answer:
3/8
Step-by-step explanation:
Lulu raised 3/4 of a money for field trip
1/2 of that money came from candy sales
The money that came from the candy sales can be calculated as follows
= 1/2 × 3/4
= 3/8
l = [?] ft
9 ft
4ft
PLEASE HELP MEMEMEMEME
Solve for x.Enter the solutions from least to greatest. 3x^2+4=436
Answer:
Step-by-step explanation:
2. Which of the following is a quadratic function?
O f(x) = 2x + 5
O f(x) = 22
O f() = 0x2 + 3x – 6
Of(x) = 3 - 422
please i need this anwser the teacher is gonna litterly murder me
Answer:
65 degrees
Step-by-step explanation:
Answer:
1. obtuse angle 105 degrees
2. acute angle 60 degrees
Step-by-step explanation:
Convert (4, 3π/2) to rectangular form.
A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)
Answer:
(0, -4)
Step-by-step explanation:
The rectangular form is expressed as;
x = rcos theta
y = rsin theta
Given the coordinate (4, 3π/2)
r = 4
theta = 3π/2
Substitute
x = 4cos3π/2
x = 4cos270
x = 4(0)
x = 0
y= 4sin3π/2
y = 4sin270
y = 4(-1)
y = -4
Hence the required coordinate is (0, -4)
As shown in the figure below, Mary is looking at a tree that is leaning at an angle of 84º with respect to the ground. The angle
of elevation from where Mary is standing to the top of the tree is 49º. The length of the tree is 55 feet. Find the distance, x,
from Mary to the base of the tree. Round your answer to the nearest tenth of a foot.
55 ft
I feet
Х
?
84
49°
Х.
Answer:
r his
Step-by-step explanation:rfrfrefeffrefeferfeferfe
11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
than the height, as shown in the diagram below.
L= h +4 and H = h
A. Write a polynomial expression, in simplified form, that represents the area of the
canvas.
Keng adds a 3-inch-wide frame around all sides of his canvas.
B. Write a polynomial expression, in simplified form, that represents the total area of the canvas and the frame.
Part A
Answer: h^2 + 4h-------------------
Explanation:
We multiply the length and height to get the area
area = (length)*(height)
area = (h+4)*(h)
area = h(h+4)
area = h^2 + 4h .... apply the distributive property
The units for the area are in square inches.
===========================================================
Part B
Answer: h^2 + 16h + 60-------------------
Explanation:
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Similarly, along the vertical side we'd have the h go to h+3+3 = h+6
The old rectangle that was h by h+4 is now h+6 by h+10
Multiply these expressions to find the area
area = length*width
area = (h+6)(h+10)
area = x(h+10) ..... replace h+6 with x
area = xh + 10x .... distribute
area = h( x ) + 10( x )
area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6
area = h^2+6h + 10h+60 .... distribute again twice more
area = h^2 + 16h + 60
You can also use the box method or the FOIL rule as alternative routes to find the area.
The units for the area are in square inches.
The area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.
What is an area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, Keng is painting on a rectangular canvas with a width that is four inches longer than the height,
w = h+4, height = h
Area = (length)x(height)
area = (h+4)x(h)
area = h(h+4)
area = h² + 4h
With the frame,
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Keng added a 3-inch-wide frame around the painting,
Therefore,
The h+4 will become h+4+3+3 = h+10
Similarly, along the vertical side = h+3+3 = h+6
Area = (h+10)(h+6) = h²+16h+60
Hence, the area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.
Learn more about areas, click;
https://brainly.com/question/27683633
#SPJ2
what is the shape callled that looks like a rectangle with two sides that look like a triangle
Answer:
Quadrangle
A quadrilateral can sometimes be called: a Quadrangle ("four angles"), so it sounds like "triangle"
Please Mark Brainliest.
Step-by-step explanation:
Use equivalent ratios to find the unknown value.
Answer:
66 is equal to K
Step-by-step explanation:
if 4 times 6 equal 24
then 11 time 6 equals 66
in this case, the scale factor is 6.
Have a wonderful day!
Answer:
K = 66
Step-by-step explanation:
[tex]\frac{k}{24} = \frac{11}{4}[/tex]
when taking a look at this, first try to see if you can solve the denominator.
24 to 4 equals 6 meaning you divide k by 6 will be equal to 11
Then 11 x 6 = 66!!
Mark me as brainliest!!
A pet store has 52 freshwater fish. Of all the fish in the store, 80% are freshwater fish. How many fish does the store have in all