Estimate the product by rounding to the nearest
thousand 7763 x 50,737
find the estimated product
A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in her district.
a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)
b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.
Answer:
a) The minimum sample size is 601.
b) The minimum sample size is 2401.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For this problem, we have that:
We dont know the true proportion, so we use [tex]\pi = 0.5[/tex], which is when we are are going to need the largest sample size.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)
This is n for which M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.25[/tex]
Rounding up
The minimum sample size is 601.
b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.
Now we want n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]
[tex]n = 2401[/tex]
The minimum sample size is 2401.
A scientist changes the temperature of a solution at a rate of
-6°C per minute. How many minutes will it take for the solution's
temperature to change from 0°C to -54°C?
A 9 min
B 324 min
C 60 min
D 48 min
Answer: A 9 min
Step-by-step explanation: 54/6=9
(9)
-6-6-6-6-6-6-6-6-6=-54
You got paid $343 for 7 hours of work. Find the unit rate.
Answer:
$49 / hour
Step-by-step explanation:
343/7 = $49/hour
Answer:
49
Step-by-step explanation:
You do 343÷7 which equals your sum
8/9 ÷ 4/9 = ??????????
Answer:
2
Step-by-step explanation:
This expression can be rewritten as
8
----
9
======
4
---
9
If we now invert the denominator fraction 4/9 and multiply the result, we get:
8 9
----- * ----- = 2
9 4
Everyday Erin’s Orange stand uses 1 3/8 bags of oranges for how many days will 5 1/2 bags of oranges last
1+3/8=(8+3)/8=11/8 used per day. 5+1/2=(10+1)/2=11/2 available.
(11/2)/(11/8)=(11/2)(8/11)=88/22=4
6) The height of any child in Mr. Diaz's kindergarten class is no greater than 46 inches.
Unkno
e) Let h be the height in inches of a child in the class. Write an inequality that means that
a height is no greater than 46 inches.
h < 46
Unkno
•) Graph the inequality h < 46.
egunkno
58
60
54
56
50
52
48
46
44
40
42
0 0
Crin
mage
Answer:
full arrow going left from 46
Step-by-step explanation:
Inequalities are used to represent unequal expressions.
The inequality is: [tex]h \le 46[/tex]
The height (h) is said to be no greater than 46 inches.
The text "no greater than" means less than or equal to.
In inequalities, less than or equal to is represented with <=
So, the inequality is:
[tex]h \le 46[/tex]
See attachment for the graph of the inequality.
Read more about inequalities at:
https://brainly.com/question/18881247
Determine the permanent life insurance amount per thousand given that the policy belongs to a healthy 25-year-old
male with an annual premium of $4,072.2 and a face value of $110,000 on a 20-Year Endowment insurance policy
a $38.96
$37 67
b. $38.23
di $37.02
C
Answer:
The Answer is D
Step-by-step explanation:
Just took the quiz
Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =
will mark brainliest
Answer:
1/4
Step-by-step explanation:
using the product-to sum formulas, this is
1/2 (cos(75+15) + cos(75-15))
Answer:
1/4
Step-by-step explanation:
PLATO USER
A = [1, 3, 5, 7, 9)
B = (2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AU (Bn C) =
Answer:
the second one
Step-by-step explanation:
I think
Find the derivative of the function. f(x) = 4x2 − 8x + 2
Answer:
Step-by-step explanation:
Use the power rule for differentiation
[tex]f'(x)=nx^n^-^1[/tex]
[tex]f'(x)=(4\frac{d}{dx} 2x^2^-^1)-(8\frac{d}{dx} 1x^1^-^1)+\frac{d}{dx}2[/tex]
[tex]f'(x) =8x-8[/tex]
The derivative of a constant is always zero
kiran poured 15 cups of water into equal-sized pitches and filled 1 1/2. How much water was in the full pitcher?
9514 1404 393
Answer:
10 cups
Step-by-step explanation:
The number of cups in a pitcher can be found by dividing cups by pitchers:
(15 cups)/(1.5 pitchers) = 10 cups/pitcher
A full pitcher holds 10 cups.
p(x) = x3 - 2x2 + 2x
What are the real and complex zeros of the equation
Given:
The polynomial is
[tex]p(x)=x^3-2x^2+2x[/tex]
To find:
The real and complex zeros of the equation.
Solution:
We have,
[tex]p(x)=x^3-2x^2+2x[/tex]
For zeros, p(x)=0.
[tex]x^3-2x^2+2x=0[/tex]
[tex]x(x^2-2x+2)=0[/tex]
[tex]x(x^2-2x+2)=0[/tex]
[tex]x=0\text{ and }x^2-2x+2=0[/tex]
The real value of x is 0. The equation [tex]x^2-2x+2=0[/tex] will give complex roots. Here, a=1, b=-2 and c=2.
Using quadratic formula, we get
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]
[tex]x=\dfrac{2\pm \sqrt{4-8}}{2}[/tex]
[tex]x=\dfrac{2\pm \sqrt{-4}}{2}[/tex]
On further simplification, we get
[tex]x=\dfrac{2\pm \sqrt{-1}\sqrt{4}}{2}[/tex]
[tex]x=\dfrac{2\pm 2i}{2}[/tex]
[tex]x=\dfrac{2(1\pm i)}{2}[/tex]
[tex]x=1\pm i[/tex]
Therefore, the real zero is 0 and the complex zeros are 1+i and 1-i.
Find the area. Simplify your answer.
Answer:
We know,
Area of parallelogram = b * h
= 2x * 7 = 14x
Hope it helped
All the best!!
Plzzzzz helpp!!!!!!!!!!!!!!
Please help with the answer
Answer:
not parallel
Step-by-step explanation:
Actually they're Perpendicular.
Solve the equation for the indicated variable.
А= 1/2bh for b
Which inequality describes the relationship between points A and B on the number line?
Solomon graphs a point on the coordinate plane. Which point did Solomon graph?
Answer:
Try your best! I know you can do it!
Need quick answer plz
Answer:
8 is the answer
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
[tex]z=2^{3}[/tex]
This question is essentially asking what is two to the third power, or;
[tex]2 * 2 * 2[/tex]
[tex]= 8[/tex]
Help
==================
Answer: 0.5
Step-by-step explanation:
17 is half of 34 and 1/2 = 0.5
Answer: 0.5 is this second grade
1) Um barbante tem 10,85 metros de comprimento. Se você dividir em 5
pedaços de mesmo comprimento, quantos centímetros terá cada
pedaço?*
(a) 2,17 cm
(b) 217 cm
(C) 21,7 cm
(d) 0,217 cm
(ajudem pfvv ;)
Answer: A
Step-by-step explanation:
It's on edge i got a 100%
8n + 2 - 6n - 13 = 9 + 2n - 13
Answer:
I love math anyways
the ans is in the picture and the steps hope it helps :D hehe
(hope it helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
solve by elimination
x+y= 0
2x-y= 12
Answer:
m=2
Step-by-step explanation:
I calculated it sorry
Answer:
(x,y)= (4,-4)
Step-by-step explanation:
Thanks me later
how many solutions does the equation 5x-8=3x+8
Answer:
One solution
Step-by-step explanation:
5x-8 = 3x+8
2x = 16
x = 8 = true once
Answer:
x=2
Step-by-step explanation:
5x-8=3x+8
= >
5x-3x=8+8
=8x= 16
therefore x= 16/8
ie) 2
How many students play a team sport but do not take dance lessons
Solve for X
5x + 2 = 7x – 4
Answer:
x = 3
Step-by-step explanation:
5x + 2 = 7x – 4
-2x = -6 (Subtraction)
x = 3 (division)
divided by negative from a negative so,
negative/negative = positive.
A group of students plotted the number of hours they worked at a cake shop during the holidays and the number of cakes they delivered in a week.
Graph shows 0 to 60 on x axis and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Number of Cakes Delivered. Dots are made at the ordered pairs 12, 13 and 16, 15 and 20, 27 and 23, 21 and 26, 37 and 31, 29 and 35, 41 and 38, 46 and 42, 52 and 43, 49 and 45, 54 and 49, 51.
Which statement best describes the relationship between the number of hours spent working at the cake shop and the number of cakes delivered?
Greater hours worked, more cakes delivered
Fewer hours worked, more cakes delivered
Greater hours worked, fewer cakes delivered
There is no relationship between hours spent working and number of cakes delivered.
Answer:
As the x value increases, the y value also increases. So as one increases the other increases.
So your answer is
Greater hours worked, more cakes delivered
Step-by-step explanation:Hope this helps :-)
Answer:
It would be no other than A. :) I got this by putting a very skinny strip of paper and making the graph then, I easily just went from the 0 points and saw how the numbers on each side are both even it would make more sense as A because it is just how this works! :)
Step-by-step explanation:
¿Cuál es el número x cuyo cuadrado es igual a cuatro veces la suma del número y
8?
porque
Answer:
es 48876256542389087565
㏒7 41 pLz hElP pLZZz
Answer:
log(41)/log(7) OR 1.90839852...