Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.
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.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 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 the critical value is z = 1.96.
The estimate is of [tex]\pi = 0.61[/tex], while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2[/tex]
[tex]n = 1015.5[/tex]
Rounding up, 1016 constituents are required.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Please Help
What is the sum of the two solutions to x^(2)+5x+6=0
Answer:x=−3
x=−2
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
Hi, First begin by solving the quadratic equation
x^2 + 5x + 6
What two numbers multiply to get 6 but add to make 5? I would use 3 and 2
X^2 + 3x + 2x + 6
x(x+3) 2(x+3)
(x+2) (x+3)
X=-2
X=-3
These are your two solutions
-2 + -3 = -5
What is the frequency?
Answer:
Its A
Step-by-step explanation:
My neighbor has both chickens and roosters. He has a total of 31 birds. The number of chickens is ten more than twice the number of roosters. How many chickens does he have?
Answer:
24
Step-by-step explanation:
You can use a simple equation for this:
c=chickens, r=roosters
c=10+2r, as "chickens is TEN MORE than TWICE the number of roosters,"
we can then do;
10+2r+r (the original number of roosters)=31
3r=21
r=7
BUT, WE'RE NOT LOOKING FOR ROOSTERS!
10+2r=24
A penny is tossed and a number cube is rolled. determine each probability.
you must answer the problem with at least 3 sentences.
what number is the probability of landing on tails and the number 5?
p(tails,5) =
Answer:
25% chance
Step-by-step explanation:
Because a penny has two sides that is 50 percent and a cube 6 sides that's 16 percent. then you subtract 16 from 50 to get a 34 percent chance of probably.
16 more than craigs score is 62
Step-by-step explanation:
what is the question ?
to find Craig's score ?
if that is the case :
Craig's score = 62 - 16 = 46
HELPPP Serena was collecting blank sticker books for her classmates. She measured the lengths of each book and recorded the data on the line plot below. What is the total length of all the books that are 3 3/5 inches?
SHOW YOUR WORK OR LEAVE A SIMPLE EXPLANATIONS HELLPP
Answer:
The total length of all the books that were 3 3/3 inches is 8.6 because there are 5 books that are 3 3/5 inches. and if you add them thats the answer.
Pls give brainliest ily<3
Answer:
18 in
Explanation:
[tex]\sf 3 \dfrac{3}{5 } \ in= 3.6 \ in[/tex]
there are total 5 books with 3.6 in
so total length : 5 * 3.6 = 18 inPlease help like right now
Answer:
hope this helps :)
Step-by-step explanation:
5. For all real values of x such that -1 < x < 0, which of the following
expressions has the greatest value? *
Answer:
x<0
Step-by-step explanation:
-1<0 is greater
hope this helps your question
Helpppp no links or troll
Answer:
height would be 5 and base would be 5.
Step-by-step explanation:
because you would subtract the 2 and the 1 from the 8 to give you the base.
hope this helps
Answer:
dark blue
Step-by-step explanation:
\to find the first base you must multiplie the side
and to find the height you add it
What is one sixth of 2.00
What is the surface area of the figure made from this net?
Answer:
there is no net? Maybe you forgot to include your attatchement, and without it, I cannot answer your question. sorry...
Step-by-step explanation:
Use the following information to answer the next five exercises. a hospital is trying to cut down on emergency room wait times. it is interested in the amount of time patients must wait before being called back to be examined. an investigation committee randomly surveyed 70 patients. the sample mean was 1.5 hours with a sample standard deviation of 0.5 hours
Considering that we have the standard deviation for the sample, the t-distribution should be used to solve this question.
When should the z-distribution and the t-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.In this problem, there is a sample standard deviation of 0.5 hours, hence the t-distribution should be used.
More can be learned about the t-distribution at https://brainly.com/question/13873630
The number 144 can be represented by 12x12 square grid which of the following can be also represented on a square grid??
A. 39 b.50 c.70 d.81
Answer:
d.81
Step-by-step explanation:
81 can be represented by a 9x9 square grid. The rest of the numbers would be represented on rectangular grids.
Answer:
D. 81
Step-by-step explanation:
81 can be represented by 9X9 square grid
9^2 = 81
Abigail invested $29,000 in an account paying an interest rate of 2. 1% compounded continuously. Assuming no deposits or withdrawals are made, how much money to the nearest dollar, would be in the account after 8 years?
Answer:
$34,305
Step-by-step explanation:
[tex] a = 29000 {e}^{.021 \times 8} = 34305[/tex]
WHOEVER RESPONDS FIRST WILL BE MARKED BEST.
A circular rug has a diameter of 12 feet. What is the area, in square feet , of the rug rounded to the nearest hundredth? Use 3.14 for it
Answer:
113.04 ft^2
Step-by-step explanation:
area of circle formula = [tex]\pi r^{2}[/tex]
in this case, we are taking π as 3.14, so it is 3.14 x [tex]r^{2}[/tex]
Radius = half of diameter
radius = 12 / 2 = 6
[tex]6^{2}[/tex] = 36 (because 6 x 6 = 36)
3.14 x 36 = 113.04
Therefore, our answer is 113.04 ft squared (because it is area)
Hope this helps! If you have any further questions, let me know :)
- profparis
if i helped you, i would appreciate a brainliest :D
Can pls someone help me? and show how it did it?
Answer:
[tex]x\geq -3[/tex]
Step-by-step explanation:
We can start by combining like terms:
[tex](3x-7x)+(-5+2)\leq 9\\-4x-3\leq 9[/tex]
We want to isolate x, so we must add 3 and divide by -4:
[tex](-4x-3\leq 9)+3\\(-4x\leq 12)/-4\\\\x\geq -3[/tex]
Because we had to divide by -4, the inequality sign had to flip.
HELP MeMe M3 i dont get it
An equilateral triangle with side length 7 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
Please help me on this
(Look at the Photo)
Determine the point estimate of the population mean and margin of
error for the confidence interval with lower bound 19 and upper bound: 27.
Using confidence interval concepts, it is found that:
The point estimate of the population mean is of 23.The margin of error is of 4.Given a confidence interval what are the point estimate of the population mean and the margin of error?A confidence interval has two bounds, a lower bound and an upper bound.A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.The margin of error is the difference between the two bounds, divided by 2.In this problem, the interval is (19,27), hence the point estimate is:
P = (19 + 27)/2 = 23.
The margin of error is:
M = (27 - 19)/2 = 4.
More can be learned about confidence interval concepts at https://brainly.com/question/25890103
if the width of a rectangle with periemter is P is 6 units what is its length
write using algebra
Answer:
L = [tex]\frac{P - 12}{2}[/tex]
Step-by-step explanation:
Since perimeter is 2L + 2W, and width is 6, then P = 2L + 2*6, and solving for L gives you (P - 12)/2
Hopefully this helps- let me know if you have any questions!
1.) 7x+8=29
2.) 6x+6=36
3.) 7+6x=19
how do you solve these problems?
Answer:
1.) x= 3
2.) x=5
3.) x=2
Step-by-step explanation:
1) 7x+8=29
( -8). 7x=21. (-8)
(÷7). x=3. (÷7)
2). 6x+6=36
6x=30. subtract 6
x=5. divide by 6
3). 7+6x=19
6x+7=19. rearrange it
6x=12. subtract 7
x=2. divide by 6
[tex] \huge\mathbb\red{ANSWER} [/tex]
[tex] \mathsf \purple{7x + 8 = 29}[/tex]
[tex] \mathsf \pink{7x + 8 - 8 = 29 - 8}[/tex]
[tex] \mathsf \purple{7x = 21}[/tex]
[tex] \mathsf \pink{ \frac{7x}{7} = \frac{21}{7} }[/tex]
[tex] \mathsf \purple{x = 3}[/tex]
[tex] \mathsf \red{6x + 6 = 36}[/tex]
[tex] \mathsf \green{6x + 6 - 6 = 36 - 6}[/tex]
[tex] \mathsf \red{6x = 30}[/tex]
[tex] \mathsf \green{ \frac{6x}{6} = \frac{30}{6} }[/tex]
[tex] \mathsf \red{x = 5}[/tex]
[tex] \mathsf \blue{7 + 6x = 19}[/tex]
[tex] \mathsf \orange{ - 7 + 7 + 6x = 19 - 7}[/tex]
[tex] \mathsf \blue{6x = 12}[/tex]
[tex] \mathsf \orange{ \frac{6x}{6} = \frac{12}{6} }[/tex]
[tex] \mathsf \blue{x = 2}[/tex]
What phrase is a description of 2m + 7
Answer: 7 more than 2 times a number
Step-by-step explanation:
To describe 2m it would by 2 times m since it is multiplication
When describing a variable simply call it a number
Now we have "2 times a number", but we still need to incorporate the +7
To represent +7 we can say "7 more" since that represents addition
So we end up with "7 more than 2 times a number"
Answer:
2 times m + 7
Step-by-step explanation:
2 is the coeficient
m is the y additive
Which is the correct way to rewrite the expression? 4(5 + y)
a. (4 + 5) + (4 + y)
b. (4 * 5)(4y)
c. (4 + 5) + (4y)
d. (4 * 5) + (4y)
how to solve the proof and the steps
Answer:
Step-by-step explanation:
Arnold borrowed $7890 at 11.5 percent for five years.
What is the amount of Arnold's total payment?
$11,580
$10,410
$9,520
$8,560
CAN SOMEONE PLEASE HELP ME ASAP IM STUCK
Find the area of the trapezoid. {?} Square centimeters
Answer:
68
Step-by-step explanation:
Use the formula provided...
6 and 11 are b1 and b2, and 8 is h.
So, 6+11 = 17
17/2 = 8.5
8.5*8 = 68
Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends. Which equation can he use to find p, the number of pencils each friend will receive? p 6 = 30 p minus 6 = 30 6 p = 30 StartFraction p Over 6 EndFraction = 30.
The equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we're given that:
Sebastian has 30 pencilsSebastian will distribute p pencils to each of his 6 friends.Now, that means, if we collect all those p pencils, then they should be 30 in count.
Sum of pencils from 6 friends = p + p + p + p + p + p = 30
or
[tex]6 \times p = 30[/tex] (since p was added 6 times itself, so we write it as 6 times p)
we don't write the "×" sign, (Using sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together) Thus, the equation is 6p = 30 (well both equations are same).
Thus, the equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30
Learn more about forming equations here:
https://brainly.com/question/11938672
Answer:C
Step-by-step explanation:
I need help with this
Answer:
You are correct with B!!
Step-by-step explanation:
(x⁹)²
We have to multiply 9 x 2, regardless of the parenthesis for this one.
9 × 2 is 18.
We cannot simply 18 further.
Carry the x in front of 18.
x¹⁸
Quais os numeros naturais entre 893 e 991 que divididos por 23 deixam sempre o maior resto possível