Answer:
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
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].
Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.
This means that [tex]n = 500, \pi = \frac{350}{500} = 0.75[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775[/tex]
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
The perimeter of a square is given as 12x plus 20 write two different expressions to represent its perimeter for one way factors the expression using the gcf
I will NOT like it with a link thank you
Answer:
It’s b
Step-by-step explanation:
You can plot the points on the graph to test them out . B was the only one that made a rectangle
In circle O, central angle BOC has a measure of 115. Find the measure of arc BAC. In your final answer, Include all of your work.
Answer:65
Step-by-step explanation:
If cm on a map represents 20km on the ground ,how far apart are two villages that are 0.5cm aprt on the map?
Answer: 10 km
Step-by-step explanation:
20 km = 1 cm
villages are 0.5 cm apart
0.5+0.5=1
20/2= 10
so 10 km.
How do you find the perimeter and area of each figure
Answer:
Find the perimeter and area of each individual cube then add them up,
Area=length times width
Perimeter=4 times side
Step-by-step explanation:
what are the solution to the system of equations graphed below?
Answer: the answer is A
Step-by-step explanation:
u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)
what is 2X500 pls!!!!!
Answer:
1000
Step-by-step explanation:
2×500=1000
hope it helps
4x10^3 times what number is equal to 16x10^5
Answer:
4 × 10²
Step-by-step explanation:
16 x 10^5 ÷ 4 x 10³ = 4 × 10²
4 * 10² is the number when multiplied to 4 * 10³ gives 16 * 10⁵
What is division exponent theorem ?To divide exponents (or powers) with the same base, subtract the exponents.
Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.
The given expression is
4 * 10³ multplies with ____ = 16 * 10⁵
We have to solve this ,
Let the number be x
4 * 10³ multplies with __x__ = 16 * 10⁵
x = (16 * 10⁵ )/(4 * 10³)
x= ( 4² * 10⁵ )/(4 * 10³)
Therefore the numerator and denominator has the same base so
[tex]\rm 4^{2-1} \times 10^{5-3}\\\\\\4^{1} \times 10^{2}\\\\\\4\times 10^{2}[/tex]is the number that when multiplied to 4 * 10³ gives 16 * 10⁵
To know more about Exponent Theorem
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can u please help me
please help me out with this
Answer:
1) Since 4(5+x) is 4*5+4*x, and because 4*5+4*x is
OMG PLEASE PLEASE PLEASE HELP!!!! I NEED THISS DONE ASAP!! Pleaseeee giving brainlest!!
Answer:
triangular prism
Answer:
it will be triangular prism
I need help quick!!!!!!!!!!!!
Answer:
f(x)=2sin(2x)+4
Step-by-step explanation:
Answer:
f(x)=2sin(x)-4
Step-by-step explanation:
If you are saving 60% which is $54, what will the sale price of the Printer be?
A $60
B $54
C $36
D $90
Answer:
the answer should be D.$90
Step-by-step explanation:
54 x .6 = 90
A restaurant chef has designed a new set of dishes for his menu. His set of dishes contains 10 10 main courses, and he will select a subset of them to place on the menu each night. To ensure variety of main courses for his patrons, he wants to guarantee that a night's menu is neither completely contained in nor completely contains another night's menu. What is the largest number of menus he can plan using his 10 10 main courses subject to this requirement
Answer:
252 menu
Step-by-step explanation:
Total number courses, n = 10
The largest number of menu the chef can plan using his 10 main courses.
There are various combinations of menu obtainable from the available courses :
Ranging from :
nC0 to nCn
The largest number of menu he can plan is the highest output obtainable between :
10C0 to 10C10
10C0 = 1
10C1 = 10
10C2 = 45
10C3 = 120
10C4 = 210
10C5 = 252
10C6 = 210
10C7 = 120
10C8 = 45
10C9 = 10
10C10 = 1
Hence, the largest number of menu he can plan using his 10 main courses is 252
3/2 p - 14 = p + 13
Please help
Answer:
p=54 hope this helps
Step-by-step explanation:
What is the solution to this equation 4x=124
Answer:
31
Step-by-step explanation:
divide 124 by 4
x=124
Answer:
x=31
Step-by-step explanation:
Divide both sides of the equation by the same term
4x/4 = 124/4
Then you have to divide the numbers.
x= 124/4
x= 31
if 4=p (p+5)=21 find p
Answer:
p=16?
16+5=21?
Step-by-step explanation:
16+5=21
Find the area of the shade region in the shown below.
Step-by-step explanation:
rectangle
= 15.3 × (8.2 - 5.7 )
= 15.3 × 2.5
= 38.25
triangle
= 1/2 × (15.3 - 5.1+6.7) × 5.7
= 1/2 × 3.5 × 5.7
= 1/2 × 19.95
= 9, 97
total = 38.25+9.97 = 48.22 ft
the ratio of lampreys to oarfish in the marine aquarium was 27:22 if there were 162 lampreys in the aquarium how many oarfish were there
Answer:
132
Step-by-step explanation:
First divide the number of lampreys by the ratio.
162/27=6
Then multiply the result (6) by the oarfish part of the ratio
22*6=132
cual seria 1/10 de $360 pesos
Answer:36 pesos porque 1/10 de 360 es como multiplicar 1/10 por 360
Step-by-step explanation:
Help ASAP !!!! I’m almost done
Answer:
1. 30.48cm
2. 5.77yds
3. 540min
4. 1200cm
5. 8.45qt
6. 168hr
7. 4535.92grams
8. 15yd
9. 32.808ft
Step-by-step explanation:
hope this helps :)
Alice sells bracelets 10 for $5. How much does 1 bracelet cost?
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPT
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.
Which of the following shows the factored form of x2 + 7x – 8?
Answer:
Step-by-step explanation:
Go to algebra calculator it will show the answer.
Answer:
(x-1) (x+8)
Step-by-step explanation:
If you factor this question out correctly, you would get the answer above.
What is 65% of 85, rounded to two decimal places?
Answer:
55.25
Step-by-step explanation:
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450. What is the interest rate percentage? Round the answer to the nearest hundredth.
Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.
Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,
Final amount = [tex]Pe^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
Given in the question,
P = $181.25
t = 7 years
Final amount = $1450
Substitute these values in the expression,
[tex]1450=181.25e^{7r}[/tex]
[tex]e^{7r}=8[/tex]
[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]
[tex]7r=2.07944[/tex]
[tex]r=0.2971[/tex]
[tex]r=29.71\%[/tex]
Therefore, rate of intereset for the investment is 29.71%.
Learn more about continuous compounding here,
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One year, the population of a city was 330,000. Several years later
it was 270,600. Find the percent decrease.
Answer:
18% Decrease.
Step-by-step explanation:
You can use this formula for % decrease questions. :)
Decrease= Starting value (original) - Final Value (the smaller number) / starting value x 100.
Hope this helps,
Azumayay
Describe the translation from the red figure to the blue figure
Answer:
whattt do I have to do translate what???
Answer:
The blue image is a translation to the red image
Step-by-step explanation:
Divide. Write your answer in simplest form. 9/2 / 1/4
Answer:
18
Step-by-step explanation:
9/2 / 1/4
keep 9/2
Change the operation to multiplication
flip 1/4 into 4 or 4/1
multiply on top and bottom and get 36/2
which 36/2 is 18 and 18 is the answer
Brainliest?
50 POINTS QUICK Mary is three times as old as her son . In 12 years Mary will be twice as old as her son. How old is each of them now?
Answer: Mary is 36 and her son is 12; in 12 years her son will be 24 and she will be 48
Step-by-step explanation:
Answer:
Mary's age = 36
Son's age = 12
Step-by-step explanation:
Let x be age of Mary and y be age of her son.
According to question,
x = 3y...........(1)
And,
x + 12 = 2(y + 12)
x + 12 = 2y + 24
Replacing value of x from (1),
3y + 12 = 2y + 24
3y - 2y = 24 - 12
y = 12
And x = 3 x 12 = 36
50% of 90 change to decimal
Answer:
0.5 or 0.45
Step-by-step explanation:
this needs to be 20 characters long