In late June 2012, Survey USA published results of a survey stating that 55% of the 579 randomly sampled Kansas residents planned to set off fireworks on July 4th. Determine the margin of error for the 55% point estimate using a 95% confidence level. The margin of error is: _____% (please round to the nearest percent)
Answer:
The Margin of Error E [tex]\simeq[/tex] 4.1 %
Step-by-step explanation:
Given that:
The sample size = 579
The sample proportion [tex]\hat p = 55\%[/tex] = 0.55
From the confidence interval of 95%
The level of significance ∝ = 1 - C.I = 1 - 0.95 = 0.05
The critical value of [tex]Z_{\alpha/2 } = Z_{0.025} = 1.96[/tex]
Thus;
The Margin of Error E = [tex]Z_{\alpha/2 } \times \sqrt{{\dfrac {\hat p ( 1 - \hat p }{n}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 1 - 0.55) }{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 0.45 )}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.2475}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{4.2746114 \times 10^{-4}}[/tex]
The Margin of Error E = [tex]1.96 \times .020675[/tex]
The Margin of Error E = 0.040523
The Margin of Error E [tex]\simeq[/tex] 0.041
The Margin of Error E [tex]\simeq[/tex] 4.1%
Remember that whole numbers that are next to each other, for example, 2 and 3, or 43, 44, and 45 are called consecutive numbers.
If n is the smallest of three consecutive integers, write an expression for the largest number.
Answer:
n +2
Step-by-step explanation:
If three numbers are consecutive, the 2nd number would be one more than the 1st number, and the 3rd number would be one more than the 2nd number.
Since the smallest number is n,
2nd consecutive number= n +1
3rd consecutive number
= n +1 +1
= n +2
Thus, the expression for the largest number is n +2.
Let's check!
If the smallest of the three consecutive number is 1, the 3rd consecutive number would be 3.
3rd consecutive number
= n +2
= 1 +2
= 3 (✓)
Thus, the expression is correct.
about how many 18s are there in 250?a.10 b.12 c.15
Answer:
C. 15
Step-by-step explanation:
It's 13.888 about 14, so 15 is the closest answer.
b
Step-by-step explanation:
taking 250÷18=13.88~
If the area of the rectangle is(xA^3−4x^2−15x+21) and the width is (x-6), what is the length?
Answer:
hmm, imma have to do the problem
Step-by-step explanation:
How are prism and cylinders are alike ?
Answer:
They are both 3 dimensional shapes. A cylinder is essentially a prism for a circle.
Step-by-step explanation:
Step-by-step explanation:
- They are both 3 dimensional
-They both have 2 bases
What is J/-12 > 9??
Answer:
j > - 108
Step-by-step explanation:
Step 1:
j / - 12 > 9 Equation
Step 2:
j > 9 × - 12 Multiply - 12 on both sides
Answer:
j > - 108
Hope This Helps :)
Answer:
j<−108
Step-by-step explanation:
j
−12
>9
Step 1: Simplify both sides of the inequality.
−1
12
j>9
Step 2: Multiply both sides by 12/(-1).
(
12
−1
)*(
−1
12
j)>(
12
−1
)*(9)
j<−108
Answer:
j<−108
Samuel left his house at time zero and drove to the store, which is 10 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of block per minute until he got to the bank, which is 2 blocks away from the store. He stopped at the bank for 3 minutesThen he drove home at a speed of blocks every minuteMake a graph of showing the number of blocks away from home that Samuel is minutes after he leaves his house, until he gets back home.
Answer:
Attachment given answer
Step-by-step explanation:
I gave you the answer but if you have any questions let me know.
Suppose 420 randomly selected people are surveyed to determine whether or not they play sports. The sample proportion for successes is determined to be p′=0.393 and the sample proportion for failures is q′=0.607. What is the 95% confidence interval for the proportion of the population who play sports? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 Use the table of common z-scores above. Round the final answer to three decimal places.
Answer:
420 funny number
Step-by-step explanation:
What is the slope of the line through
(
−
5
,
−
10
)
(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and
(
−
1
,
5
)
(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?
tysm
Answer: y=15/4x+35/4
Step-by-step explanation:
M=3 (-4,-7) PLease include steps!!( I will give brainliest)
Answer:
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
find the value of x
help
Answer:
6.7
Step-by-step explanation:
This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.
Soh in Soh cah toa
So sin(42)=x/10
10 times sin(42)=x
Evaluate using a calculator=6.69130606 and so on
Rounded to the nearest tenth is 6.7
So the answer is 6.7
shasha worked in the garden for 3 hours and 40 minutes. she started at 8:30am. at what time did she stop?
Answer:
Sasha stopped working at 12:10 PM
Step-by-step Explanation
8:30 + 3 hours and 40 minutes = 12:10 PM
Mark as brainliest if it's right!
Answer:
12:10 p.m
Step-by-step explanation:
3 hours from 8:30 is 11:30 a.m.
Now we add 30 minutes to 11:30 and you get 12:00
Add the remaining 10 minutes and you get 12:10 p.m
I hope this helped, please mark Brainliest, thank you!
Select the correct answer.
Identify the end behavior and the zeros of function h.
h(x) = –13 – 9x2 + 41 +96
Based on these key features, which statement is true about the graph representing function h?
A. The graph is negative on the intervals (-00, -8) and (-4, 3).
B. The graph is positive on the intervals (-8, –4) and (3, 0).
C. The graph is positive on the intervals (-0, —8)and (-4, 3).
D. The graph is negative on the intervals (-3, 4) and (8,00).
Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)
Step-by-step explanation: I guessed on my test and got it right. PLATO
If a coconut has tree has 12 coconut on it if 25% of the coconuts fell to the ground how many fell
Answer:
It would be three coconuts hope this helped
Step-by-step explanation:
What is the value of the function at x=−2?
Answer:
y = 3
General Formulas and Concepts:
Reading a Cartesian PlaneReading and labeling coordinatesStep-by-step explanation:
The question is asking us what the y-value is when x = -2.
According to the graph, when x = -2, y = 3.
Therefore, y = 3.
HELP!!! this is due in 5mins...will give brainliest-
The width and length of a rectangle (in feet) are consecutive odd integers. If the length is increased by 9 feet, the area of the resulting rectangle is 80 square feet. What is the area of the original rectangle?
55
35
25
Answer:
66
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
No explanation bc due in 5 mins
Helpppppppp pleaseeeee
Answer:
108 cm^2
Step-by-step explanation:
A= 1/2 b×h
so
1/2 12×18
what is 2/3 divdided by 1/6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Which is equivalent to 5+2(3x-4)=12x-11?
C. 9x=17
B. 6x=8
D. 9x=-39
Write an expression to model the following situation: A submarine was 32 m below sea level. It descended 28 more meters.
What is its new position below sea level?
32 + 28
32 – 28
–32 + 28
–32 – 28
giving 30 points &’ brainliest to whoever can help w there two questions!!
Answer:
binomial and not a polynomial
If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered? perfect-square trinomial difference of squares factor by grouping sum of cubes
Answer:
c
Step-by-step explanation:
just took the quiz
Answer:
The answer is C) factor by grouping
Step-by-step explanation:
Edge 2020
solve (x-4)^2=5.
Answers:
A. x=9 and x=1
B. x=5+(square root)4
C. x=-4+(square root)5
D. x=4+(square root)5
Answer:
don't dout yourself
Step-by-step explanation:
never give up thanks for the free points
Given a function described as equation y = 3x + 4, what is y when x is 1,2, and 3
Answer:
when x=1 y=7, when x=2 y=10, when x=3 y=13
Step-by-step explanation:
Simplify
114
11
1
1112
01
114
0 114
0 11 12
Find the slope of the line.
Raju bought a book for Rs.35.65. He gave Rs.50 to the shopkeeper. How much money did he get back from the shopkeeper?
I Hope this helps u out
PLEASE HELP MEEEE!!!!! Marcos had 15 coins in nickels and quarters total amount of those coins is $2.25. How many quarters and dimes he has?
Answer:
try 15 / 2.25
Step-by-step explanation:
Please help.
Solve the System of Equations by Graphing
y=4
3x+4y=4
Answer:
graph below
Step-by-step explanation:
Graph in image below
Please answer this correctly without making mistakes
Answer:
The 2-yard pièce of cotton cloth for $13.26
Step-by-step explanation:
2 yards is 6 feet then it would be $2.21 per foot.
The 17 foot piece would cost $3.29 per foot.
To answer this question, you need to determine which one has a lower price per unit. In this scenario, you must divide the price of the cloths by their length in feet.
For the 2-yard piece of cotton cloth, first convert the length to feet. There are three feet in a yard, so the cloth is 6 feet. Then divide:
13.26/6=2.21
For the 17-foot piece of cotton cloth, simply divide:
55.93/17=3.29
The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.
Hope this helps!!