Using the z-distribution, the 95% confidence interval is (0.1279, 0.1921), and it means that we are 95% sure that the proportion for the entire population is between these two values.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem:
A sample of 500 households was obtained and 80 had experienced property damage due to a crime, hence [tex]n = 500, \pi = \frac{80}{500} = 0.16[/tex].95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].Hence:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.16 - 1.96\sqrt{\frac{0.16(0.84)}{500}} = 0.1279[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.16 + 1.96\sqrt{\frac{0.16(0.84)}{500}} = 0.1921[/tex]
The 95% confidence interval for the true proportion of households that have experienced property damage due to crime is (0.1279, 0.1921), and it means that we are 95% sure that the proportion for the entire population is between these two values.
More can be learned about the z-distribution at https://brainly.com/question/25890103
hi pls help will mark as brainlist
Answer:
35m
Step-by-step explanation:
The formula to find the volume of right circular cylinder is: V=πr^2*h
We know the following info:
V = 5390m^3
r = 7m
So the equation would be 5390 = 3.14*7^2*h
so h = 35m
Answer:
h ≈ 35.01m
Step-by-step explanation:
V=Лr²h
r =7m
v = 5390³
h= V / Лr²
h= 5390 / Л7²
=35.01409m
In ΔXYZ, x = 5.6 inches, y = 9 inches and ∠Z=68°. Find the area of ΔXYZ, to the nearest 10th of a square inch.
Answer:
23.4
Step-by-step explanation:
We can use 1/2absinC for this one
Just substitute the values!
1/2(5.6)(9)sin68
Once you solve that you'll end up with 23.4
It's not hard, really, the real hard thing is figuring out which rule to use because there are so many.
Select the reason that best supports Statement 6 in the given proof. ab + ab = 12
Answer: B
Step-by-step explanation:
They substitute =AC for =12 from step 1.
A group of students bought 8
bags of candy. Each bag
contains 3 1/2 cups of candy. This
candy is shared evenly among 12
students. How many cups
of
candy will each student receive
Show your work.
important Question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!WHAT IS 1+1
Answer:
bro COME ON .
its 11 . how do you not know ?
Step-by-step explanation:
you have to add the 1 and 1 together
how do you change 17ten to a base two numeral
Answer:
10001
Step-by-step explanation:
I don't exactly have explanation. So sorry, but 17 in base 10 is 10001 in base two.
Find the value of x.
Answer:
x = 27.048
Step-by-step explanation:
sin(x) = 7/15
15 sin(x) = 7
15sin = 0.2588, so
0.2588(x) = 7
Then, divide both sides by 0.2588
x = 27.048
What’s the answer to number 5 and number 6
Help me with number 2 please
Answer:
One solution
(2,0) is the point
Step-by-step explanation:
If the graphs of the equations intersect, then there is one solution that is true for both equations.
When the lines intersect, the point of intersection is the only point that the two graphs have in common, so the coordinates of that point are the solution for the two variables used in the equations.
The point of intersection is (2,0), because that is the point that both lines intersect at.
im stuck on this problem. can someone please help me.
The graph looks like an absolute function.
If we were to compare the function [tex]y= |x|[/tex] to this graph (see image attached), we see that the function in the graph has only shifted two to the right.
To write in function form, when shifting the graph horizontally
add within the function --> move the graph to the leftsubtract from within function --> move the graph to the rightIn this case, since we want to shift over two spots horizontally, we get the function is
y = |x -2|
Now we want to find the function that is increasing and decreasing over the same interval.
The only function that looks the most similar is y = 4|x-2|.
The reason for that is because the y = 4|x-2| is just a stretched version of y= |x-2| meaning the point where it is increasing or decreasing should stay the same. Look at the second image I attached.
Hope it helps!
PLS HELP ME I WILL MARK THE BRAINLIEST
Answer:
∠ ABC = 51°
Step-by-step explanation:
the inscribed angle ABC is half the measure of its intercepted arc AC , so
5x + 11 = [tex]\frac{1}{2}[/tex] (16x - 26) ← distribute parenthesis
5x + 11 = 8x - 13 ( subtract 8x from both sides )
- 3x + 11 = - 13 ( subtract 11 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Then
∠ ABC = 5x + 11 = 5(8) + 11 = 40 + 11 = 51°
solve for m
2= m/2 -7
thanks in advance
Past due, need some help.
Answer:
1. pt. A) 96:38
pt. B) Because they are the same values, just flipped
2. pt. A) 38:46
pt. B) 19:23
Step-by-step explanation:
hope this helped
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
It would be -6, 5 but i dont see that for an option so pick -6,-5
Step-by-step explanation:
help for brainlist bro...
Answer:
(-1,1)
Step-by-step explanation:
Answer:
(- 1, 1 )
Step-by-step explanation:
2x - 3y = - 5 → (1)
3x + y = - 2 → (2)
multiplying (2) by 3 and adding to (1) will eliminate y
9x + 3y = - 6 → (3)
add (1) and (3) term by term to eliminate y
11x + 0 = - 11
11x = - 11 ( divide both sides by 11 )
x = - 1
substitute x = - 1 into either of the 2 equations and solve for x
substituting into (2)
3(- 1) + y = - 2
- 3 + y = - 2 ( add 3 to both sides )
y = 1
solution is (- 1, 1 )
The volume of a particular rectangular box is given by the equation V = 50x-2x'. The height and length of
the box are shown on the diagram below. Find the width of the box in terms of x. Recall that V =L-W-H
for a rectangular box.
Dimensions on diagram:
2x(height)
x+5(length)
?(width)
Answer:
Volume = height x width x lengthV = h•l•w(50x - 2x3) = (2x)•(x+5)•w(50x - 2x3) = (2x2 + 10x)•w(50x - 2x3)/(2x2 + 10x) = w2x(25 - x2)/(2x(x + 5)) = w(25 - x2)/(x + 5) = w(5 + x)(5 - x)/(x + 5) =w
5 - x = w
Step-by-step explanation:
mark me brainliest!!
1.) WHat are the real zeros of the function
y=x(x-2)(x+3)
2.) Find all of the solutions of the equation
x^3 -x^2 +5x - 5 = 0
Problem 1
Answer: The roots are x = 0, x = 2, x = -3
------------------
Explanation:
The term "root" is another way of saying "zeros of a function" or "x intercept".
To find the roots, set each factor equal to zero and solve for x.
x-2 = 0 solves to x = 2, while x+3 = 0 solves to x = -3
========================================================
Problem 2
Answer: Roots are x = 1, [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex]
------------------
Explanation:
Factor by grouping
x^3 - x^2 + 5x - 5 = 0
(x^3 - x^2) + (5x - 5) = 0
x^2(x - 1) + 5(x - 1) = 0
(x^2 + 5)(x - 1) = 0
x^2 + 5 = 0 solves to the roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex]
x-1 = 0 solves to x = 1
Note: [tex]i = \sqrt{-1}[/tex]
1) Wat are the real zeros of the function y=x(x-2)(x+3):
Answer: [tex]x_{1} = -3 ; x_{2} = 0; x_{3} =2[/tex]
To find the x-intercept, set y = 0:
x( x -2 ) ( x + 3) = 0
Apply the Zero Product Property:
x - 2 = 0 or x + 3 = 0
x = 2 or x = -3
Find the union of solutions:
x = 0 or x = 2 or x = -3
2) Find all of the solutions of the equation
x^3 -x^2 +5x - 5 = 0
Answer: x = 1 or no real solution
Apply grouping:
[tex](x^{3} -x^{2} ) + *(5x-5)=0[/tex]
Factor out common factor:
[tex]x^{2} (x-1) +5(x-1)=0[/tex]
Factor out --> [tex](x-1)(x^{2} +5) =0[/tex]
Apply zero product property:
[tex]x - 1 =0[/tex] or [tex]x^{2} +5 =0[/tex]
x - 1 = 0
Rearrange variables to the left side of the equation--> x=1 or no real solutions.
5. Quinn wants to put a picture a new frame he
received for his birthday. The picture is 4/8 inch
long and 1/4 inch wide. What is the area of the
picture?
A. 4/12 square inch
B. 1/2 square inch
C. 1/8 square inch
D. 4/24 square inch
Answer:
C. 1/8 square inch
Step-by-step explanation:
Hope this helps!
In a scientific study there are 7 guinea pigs, 4 of which are pregnant. If 3 are selected at random without replacement, find the probability that all are pregnant. Enter your answer as a fraction or a decimal rounded to 3 decimal places.
The chances of selecting a pregnant guinea pig involves probability
The probability that all are pregnant is 0.187
How to determine the probabilityProbabilities are used to determine the chances of events
From the question, 4 out of 7 guinea pigs are pregnant.
So, the probability that a selected guinea pig is pregnant is:
[tex]p = \frac 47[/tex]
The probability that all the selected 3 are pregnant is then calculated as:
[tex]p = \frac 47 * \frac 47 * \frac 47[/tex]
Evaluate the product
[tex]p = 0.187[/tex]
Hence, the probability that all are pregnant is 0.187
Read more about probability at:
https://brainly.com/question/25870256
Use the figure shown.
1. Name a pair of adjacent angles.
2. Name a pair of complementary angles.
3.Name a pair of supplementary angles.
4. Name a pair of vertical angles.
Answer:
Step-by-step explanation:
Please help only set up the proportion .
Answer:
8.5/10 or 8.5:10
Step-by-step explanation:
A proportion can be written as a fraction or a ratio. 85% of 100 points is 85 points. The proportion becomes 85/100, which can be simplified to 8.5/10 or 8.5:10.
**PLS HELP ILL GIVE BRAINLIEST WHOEVER ANSWERS THESE RIGHT THE FASTEST!**
Answer:
1. -2 × -6
2. -2 × -y
3. -2× -6 + -2 × -y
4. -2 × -6 - -2 × -y
Answer:
1. 12
2. 2y
3. 12 + 2y
4. 12 - 2y
A room has an area of 437 square feet. One dimension is 4 feet more than the other. Find the dimensions of the room
Answer:
1,748Step-by-step explanation:
Measure all three aspects--the length, width and height--of an object to get a three-dimensional measurement.
D = 437FT × 4 FEET
multiply the values in order to get the dimension
=> 1,748A group of 45 students went to a basketball game.
Each student bought a candy and a popcorn. Write 2
equivalent expressions to represent the total spent at
the basketball game.
Answer:
See below. (C*a) + (P*b) = M
Step-by-step explanation:
amount of students = 45
amount of candy per student = 1
amount of popcorn per student = 1
Let "S" be the total amount of students
Let "C" be the total amount of candy
Let "P" be the total amount of popcorn
Let "T" be the total number of snacks
Let "a" be the price per candy
Let "b" be the price per popcorn
Let "M" be the total amount of money spent at the game
The price of the candy is unknown.
The price of the popcorn is unknown.
The total amount of money spent at the game is unknown.
(C*a) + (P*b) = M
I am not sure what you are asking for but, here is what I drew up for you. Hope this helps!
40 points! Karen created a sample of 20 students from a population of 100 in the following way. First, she gave each student a unique number from 1 to 100. She then obtained a list of 20 randomly generated numbers between 1 and 100. She used these numbers to identify which students to select. Here is the list of random numbers:
Which three students is part of her sample?
A. students 1, 10, and 20
B. students 12, 60, and 74
C. students 81, 89, and 90
D. students 3, 10, and 21
Answer:
I think A.
not 100% sure
Step-by-step explanation:
Three students is part of her sample is students 1, 10, and 20.
We have given that,
Karen created a sample of 20 students from a population of 100 in the following way.
First, she gave each student a unique number from 1 to 100. She then obtained a list of 20 randomly generated numbers between 1 and 100.
She used these numbers to identify which students to select. Here is the list of random numbers.
We have to determine the three students are part of her sample.
What is the sample?
A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol S.
Therefore option A is correct.
To learn more about the sample space visit:
https://brainly.com/question/9222927
#SPJ2
How can you be certain that the angles you have created form a square inside the circle?
Answer:
By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the formula of the radius over
The building process is as follows:
Circle diameter is plotted.
The method as described in the perfectly straight central axis of a portion is drawn by the bisector of the right angle of the radius.
It is also a circular pattern diameter.
The four areas on the circle that result are indeed the square vertices.
Pls, choose me as brainliest!
What is the GCF of 15 and 48?
Hello.
First, let's clarify what the G.C.F. means.
It means "Greatest Common Factor"
So, let's find the Greatest Common Factor of 15 and 48.
First, let's list all the factors of 15:
1, 3, 5, 15
Here are the factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Therefore, the GCF of 15 and 48 is 3.
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
help me pleaseeeeeeeeee
Answer:
9
Step-by-step explanation:
The square root of 81 is 9
Answer:
9
Step-by-step explanation:
9x9=81
9 is the square root of 81 bc 9 times itself is 81
Which is the best statement of the angle-angle similarity theorem?
When the preimage of a triangle is a dilation of the image, the triangles are similar.
When triangles have two pairs of corresponding angles that are congruent, those triangles are similar.
When triangles have two pairs of corresponding angles that are congruent, the third pair of angles is also congruent.
When the interior angles of a polygon sum to 180 that polygon is a triangle
Answer: When triangles have two pairs of corresponding angles that are congruent, those triangles are similar.
Step-by-step explanation:
Find the Volume of the Cuboid whose Length , Breadth and Height are 25 cm , 20 cm and 15 cm .
Question :-
Find the Volume of the Cuboid whose Length , Breadth and Height are 25 cm , 20 cm and 15 cm .Answer :-
Volume of Cuboid is 7500 cm³ .[tex] \rule {210pt} {2pt} [/tex]
Given :-
Length of Cuboid = 25 cmBreadth of Cuboid = 20 cmHeight of Cuboid = 15 cmTo Find :-
Volume of Cuboid = ?Solution :-
As per the provided information in the given question, Length of Cuboid is 25 cm . Breadth is given 20 cm . Height of Cuboid is given 15 cm . And , we have been asked to calculate the Volume of Cuboid .
For calculating the Volume , we will use Formula :-
[tex] \bigstar \: \: \boxed {\sf { \: Volume \: _{Cuboid} = Length \times Breadth \times Height \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
⇒ Volume = Length × Breadth × Height
⇒ Volume = 25 × 20 × 15
⇒ Volume = 500 × 15
⇒ Volume = 7500
Hence :-
Volume = 7500 cm³ .[tex] \underline {\rule {210pt} {4pt}} [/tex]
⇒ Volume = Length × Breadth × Height
⇒ Volume = 25 × 20 × 15
⇒ Volume = 500 × 15
⇒ Volume = 7500