Answer:
6
Step-by-step explanation:
Factorize of the above numbers :
30 = 2 • 3 • 5
66 = 2 • 3 • 11
84 = 22 • 3 • 7
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
30 Number
66 Number
84 G.C.F
(min)
2 1 1 2 1
3 1 1 1 1
5 1 0 0 0
7 0 0 1 0
11 0 1 0 0
GCF = 2 • 3
Greatest Common Factor is :
6
unknown
QUESTION 27
A research survey of 4750 adults found that 4275 had purchased something online of these shoppers, 789 are weekly online shoppers.
Construct a 99% Confidence interval estimate of the population proportion of adults who had purchased something online
A The Point Estimate equals 50.60
(Round to 1 decimal place)
B. The Standard Error equals 1243
(Round to 4 decimal places)
The Critical Value equals
(Round to 2 decimal places)
(Round to 4 decimal places)
D. The Margin of Error equals
and
E. & F. We are 99% confident the true proportion of adults who purchased something online is between
(Round to 4 decimal places)
Using the z-distribution, it is found that characteristics are:
a) 0.2
b) 0.0058
c) z = 2.575
d) 0.0149
e) (0.1851, 0.2149).
f) We are 99% confident the true proportion of adults who purchased something online is between 0.1851 and 0.2149.
Item a:
The point estimate is the sample proportion, hence:
[tex]\pi = \frac{789}{4750} = 0.2[/tex]
Item b:
The standard error is:
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.2(0.8)}{4750}} = 0.0058[/tex]
Item c:
99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].
Item d:
The margin of error is:
[tex]M = zs = 2.575(0.0058) = 0.0149[/tex]
Item e:
The interval is the point estimate plus/minus the margin of error, hence
[tex]\pi - M = 0.2 - 0.0149 = 0.1851[/tex]
[tex]\pi + M = 0.2 + 0.0149 = 0.2149[/tex]
The 99% confidence interval estimate of the population proportion of adults who had purchased something online is (0.1851, 0.2149).
Item f:
We are 99% confident the true proportion of adults who purchased something online is between 0.1851 and 0.2149.
A similar problem is given at https://brainly.com/question/16236451
Justin opened a savings account with $900 that pays no interest. He deposits an
additional $190 each week thereafter. How much money would Justin have in the
account 30 weeks after opening the account?
PLEASE ANSWER FAST!!!
An object is launched vertically at a velocity of 160 feet per second from the top of a building 100 feet above the ground. Use the model h=-16t^2+vt+c where h is the height of the object at any time t, c is the initial height, in feet, of the object, t is the time in seconds and v is the velocity of the object.
How long will it take the object to reach the maximum height, and what is the maximum height?(Round to the nearest whole number)
Answer:
The question let's us set up the equation
Hope it helps!
Step-by-step explanation:
160= 16t^2+96t+16 and we just solve for t to get t= 3(sqrt 2 - 1) and -3(sqrt 2 - 1).
Hope it helps!
(40)
8. Use the information in the figure
below to answer questions a. and b.
70°
W
N
Х
35°
a. What is mZw?
b. What is mZz?
PLZ HELP DUE IN 45 MIN
If angle ABD is 125° and angle BAC is 40° what is the angle measurement of BCA?
Answer: C. 85
Step-by-step explanation: subtract 125 from 40
8. Which of the following is the only one that is formatted correctly?
Evaluate cos(60 degrees). Write your answer simplified, rationalized form.
Answer:
1 / 2
Step-by-step explanation:
Cos 60°
= 1 / 2
1 / 2 is the answe.
You construct a picture frame with a diagonal piece attached to the back for support, as shown below. Can you tell from the dimensions whether the corners of the frame are right angles?
222Answer:
Step-by-step explanation:
As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39
Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
Learn more about rectangles here:
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Which graph shows a line with an x-intercept of (-4, 0) and a slope of −2/5
vzxxbxcbxvzbfdbnjdznvnjzkxnvjnjnjdb
lolhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjodskvxhugvgxjchvgkzjgvcgkjzx
Use the INCLUSIVE definition of a trapezoid to identify the TRUE statement. Select all that apply.
No parallelograms are trapezoids.
All parallelograms are trapezoids.
No trapezoids are parallelograms
Trapezoids do not have any parallel sides
A trapezoid has at least one pair of parallel sides.
(I’ll mark brainlist of you wrote down, not link’)
Answer:
All parallelograms are trapezoids.
No trapezoids are parallelograms.
A trapezoid has at least one pair of parallel sides
Step-by-step explanation:
1. Since a parallelogram has two pairs of parallel sides then it has at least one pair of parallel sides. Therefore, all parallelograms are also classified as trapezoids.
2. Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram.
3. A trapezoid has one pair of parallel sides.
(I can't put a picture, but I would if I could)
The statement "All parallelograms are trapezoids", statement "No trapezoids are parallelograms" and statement "A trapezoid has at least one pair of parallel sides" are correct.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
A parallelogram has at least one pair of parallel sides, since it has two pairs of parallel sides. As a result, all parallelograms are considered trapezoids.
Parallelograms have two pairs of parallel sides, whereas trapezoids have only one pair. A parallelogram can never be a trapezoid.
Thus, the statement "All parallelograms are trapezoids", statement "No trapezoids are parallelograms" and statement "A trapezoid has at least one pair of parallel sides" are correct.
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which scatterplot does NOT suggest a linear relationship between x and y. Look AT IMAGE
Answer:
Graph C
Step-by-step explanation:
It is Graph C because the points are majorly curved, while the rest of the lines are linear because they are straight.
Hope this helps! :D
- Luna
What is the value of x in the figure qor =65 and dot =70 ? Not at is a straight line
Answer:
its 65
Step-by-step explanation:
if you add it up u would see
Is g(x)=9+7x a linear equation
Answer:
Yes
Step-by-step explanation:
A linear equation follows the y=mx+b equation. Your equation is g(x)= 7x+9 which follows the formula.
Answer:
Yes.
Step-by-step explanation:
Option #1: Graph the equation. (you can search "y=9+7x")
Option #2: Look at the equation. Rewrite it as "y=7x+9". This follows the form of y=mx+b, which is the form of a linear equation.
many do apply pls helpn
Answer:
a and b
Step-by-step explanation:
i think b i know a for sho
Answer:
32w+3
Step-by-step explanation:
8x4w=32w and you are left with the 3, so it ends up 32w+3
I need the answer with justification please
The chance of getting an even number for 1 roll is 1/2 ( half the numbers are even.)
For 3 times in a row:
1/2 x 1/2 x 1/2 = 1/8
The answer is 1/8
Find the area of the semicircle. Round your answer to the nearest hundredth. PLSSSSSSS!!!!!!!!!!!
Answer:
1.57 ft²
Step-by-step explanation:
Diameter = 2ft
Radius = 1/2 (diameter) = 1 ft
Area of semicircle = 1/2( πr²)
Area = 1/2 (3.14)(1)²
Area = 1/2(3.14)
Area = 1.57 ft²
PLEASE HELP 11 POINTS FOR THE CORRECT ANSWER
Answer:
[tex]\sqrt{43}[/tex]
Step-by-step explanation:
for the function f(x)=4/3x+8, what is the average rate of change over any given interval
a. 4
b. 3
c. 4/3
d. 3/4
Answer:
C i think i hope it helps
have a good night
A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should the person use?
Enter the mixed number as your answer.
The person should use
(Simplify your answer.)
cups
Answer:
l''kkk 1/2 cups
Step-by-step explanation:
To make 45 muffins the amount of flour required will be 6.25.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.
The amount of flour required will be calculated as:-
2 (1/2) flour ⇒ 18 muffins
2.5 flour ⇒ 18 muffins
2.5 x 2.5 flour ⇒ 2.5 x 18 muffins
6.25 flours ⇒ 45 muffins
Therefore, to make 45 muffins the amount of flour required will be 6.25.
To know more about an expression follow
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56,095 to the nearest whole number
Answer:
56,000
Step-by-step explanation: the neareat whole number is 6000 so you yust take away the 96 and add two zeros
3. David's salary is based off commission. The commission is 5% of the sales up to and including
$20,000 and 8% of the sales over $20,000 for the month. David sold $37,000 for the month.
What was his salary?
Answer:$2360
Step-by-step explanation:
37000-20000=17000
20000x0.05=1000
17000x0.08=1360
1000+1360=2360
Ms. Chang has 16 students in her class. She wants to send 3 of her students to pick up books for the class. How many combinations of students can she choose?
a large chocolate bar has a base area of 49.47 square feet and its length is 0.5 foot shorter than twice its width find the length and the width of the bar
Step-by-step explanation:
Okay try doing one side will be equal to length or one of those..L×W×H
How to solve this question
Answer:
D) 60°
Step-by-step explanation:
Because TV and YZ are parallel, and TY and VZ are equal, angle T is equal to angle V. Also, Y and Z would each be 120°.
Jadan has a drawer of different colored t-shirts. He has 4 white t-shirts, 5 black t-shirts, 3 red t-shirts and 2 blue t-shirts. He is going out of town and is in need of 2 t-shirts. What is the probability that he will randomly choose a white t-shirt without replacement and then choose a blue t-shirt?
Answer:
25%
Step-by-step explanation:
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
HINT: Use the distance formula:
d = V(x2 - xı)2 + (y2 - yı)2
Answer:
The distance is of 10.8 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this question:
C(-5,4) and D(5,8). So
[tex]D = \sqrt{(5-(-5))^2 + (8-4)^2} = \sqrt{10^2 + 4^2} = 10.8[/tex]
The distance is of 10.8 units.
draw the image of ABC under a translation by 2 units up
Answer:
Move the corners of the triangle up the axis by two blocks.
A = (-7,-3)
B = (-2,6)
C= (6,-3)
I have 48 candys for 50cents each, how much total will I have after I sell all 48 candies?
Answer:
the answer is 2400 cents
Step-by-step explanation:
if you have 48 candies and each cost 50 cents so u meltiply 48 with 50. so if u mutiply them u get 2400cents, but if u want them in dollar then 1 dollar is 100 cent so if 1 dollar = 100 cent
? = 2400 cent
you criss -cross them so when u do 2400 multiplyed by 1 is 2400 and 100 multiplyed by ? is 100?
so your going to get this
2400 = 100?
so u divide both sides by 100 because u want "?" alone. so when u do 100 will vanish because you divided both sides with 100
so it will look something like this
2400/100 = ?
when u divide 2400 with 100 u get 24.
what does that mean? it mean 2400 cents are 24 dollars
do you get it?
Find the areas of the trapezoids.
Answer:The top side is 5,the top is 2,the bottom side is 5,and the bottom is 5
Answer For the other shape:The top is 2,the bottom is 6,the left is 4,the right is 4
Step-by-step explanation:
Use your exponent rules to express as a single power, 9^4 ÷ 27^2
Make sure to do it step by step
Answer:
9
Step-by-step explanation:
9^4=3^8
27^2=3^6
when we divide the powers of the same base ,we take the common base and subtract their exponent.
3^8-^6
=3^2
=9