Answer:
1844
Step-by-step explanation:
For polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
[tex]MOE=z\times\dfrac{\sigma}{\sqrt{n}}[/tex]
Here, z is the critical value and n is the sample size.
Here, a polling firm wants to use a one-sample z interval to estimate, the number of proportion of voters in a country plan on voting for a certain candidate.
The margin of error for this test is 3% or 0.03 and the confidence interval is 99 percent.
The z value on the confidence interval of 99 percent is 2.576. Here, the standard deviation for this survey is 50 percent, or 0.50.
Put the value in the above formula as,
[tex]0.03=(2.576)\times\dfrac{0.5}{\sqrt{n}}\\n\approx1850[/tex]
Hence, for polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.
Learn more about the margin of error here;
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A triangle has a height of 24km and a base of 18km. What is the area of the figure?
Answer:
216 square km
Step-by-step explanation:
24 x 18 / 2 =
432 / 2 =
216 km square
Hope that helps!
Answer:
225 [tex]km^{2}[/tex]
Step-by-step explanation:
The difference of two positive integers is 5 and the sum of their squares is 433. Find their integers.
Answer:
12, 17
Step-by-step explanation:
Let the two positive integers be x and (5 + x).
According to the given description:
[tex] {x}^{2} + {(x + 5)}^{2} = 433 \\ {x}^{2} + {x}^{2} + 10x + 25 = 433 \\ \\ 2 {x}^{2} + 10x + 25 - 433 = 0 \\ \\ 2 {x}^{2} + 10x - 408 = 0 \\ \\ 2( {x}^{2} + 5x - 204) = 0 \\ \\ {x}^{2} + 5x - 204 = 0 \\ \\ {x}^{2} + 17x - 12x - 204 = 0 \\ \\ x(x + 17) - 12(x + 17) = 0 \\ \\ (x + 17)(x - 12) = 0 \\ \\ x + 17 = 0 \: or \: x - 12 = 0 \\ \\ x = - 17 \: or \: x = 12 \\ \\ \because \: x \: is \: a \: + ve \: integer \\ \\ \implies x \neq - 17 \\ \\ \therefore \: x = 12 \\ \\ 5 + x = 5 + 12 = 17 \\ [/tex]
Thus, the two positive integers are 12 and 17.
Answer:
12 and 17
Step-by-step explanation:
17 - 12 = 5, and 17^2 (289) + 12^2 (144) = 433
Hope this helps :D
Andre paid $17,520 for a new car. He will make equal payments each month for 4 years. What will be Andre’s monthly car payment?
Answer:
$12
Step-by-step explanation:
because,
365=year
365*4= 1460
17,520/1460=$12
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $21,000.00, how much was the car worth when she bought it?
Answer
$23,333
Step-by-step explanation:
100% - 10% = 90%
90% = 0.90
21000/.90 = $23,333
pls help me with this multiple choice !
Answer:
Step-by-step explanation:
Cdd
Answer:
B
Step-by-step explanation:
[tex] \tan(60) = \frac{n}{46} \\ n =46 \sqrt{3} \\ \cos(60) = \frac{46}{m} \\ m = 92[/tex]
How are the triangles congruent? A) not congruent B) ASA C) SAS D) AAS
Answer:
A) not congruent. You only know one side and one angle to be congruent.
Step-by-step explanation:
h is 60% of m.
Also, r is 75% ofm.
Work out h as a percentage of r.
Answer:
h=0.6m
r=0.75m
h=0.6m/0.75m*100 percent of r.
h=6000/75% of r
h=80% of r
Step-by-step explanation:
The expression of h as a percentage of r would be as; 80% of r.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
WE are given that h is 60% of m.
Also, r is 75% of m.
WE need to find out h as a percentage of r.
Therefore, h=0.6m
r=0.75m
Now we can write as;
h = 0.6m/0.75m x 100 percent of r.
h = 6000/75% of r
h = 80% of r
Hence, the expression of h as a percentage of r would be as; 80% of r.
Learn more about percentages;
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Z+br=p if you are solving for b
Answer: b=p/r-z/r
Step-by-step explanation:
make sure the p/r is a fraction and so is z/r. p goes on top r goes on bottom, minus z over r
What does 2.8- 4.4n- 2n + 7 equal?
Answer:
2.8- 4.4n- 2n + 7 = -6.4n + 9.8
Step-by-step explanation:
combined like term:
-4.4n - 2n = -6.4n
2.8 + 7 = 9.8
so all you do is combined together and got -6.4n + 9.8
i believe it equals 9.8-6.4n
sorry, im not very good at explaining how i solved it!! D:
but i hope this helped you out :)
At Keller's Bike Rentals, it costs $34 to rent a bike for 9 hours. How many dollars does it cost per hour of bike use?
Answer: $3.77
Step-by-step explanation:
What is the value of y when x = 4?
Answer:
I think there is no y-intercept bc all they give you is x ( don't even have slope either) but I could be wrong...sorry
Q8.
a. xy = 24, since (3)(8) = 24
b. 4y = 24
Y = 24 ÷ 4
Y = 6
NB: I think I figured it out ^-^ I hope this helps!
Can someone help me with this?
Answer:
Step-by-step explanation:
Quadrilateral EFGH is a rectangle.
Therefore, measure of all interior angle of the rectangle = 90°
7). m∠FEG + m∠GEH = 90°
57° + m∠GEH = 90°
m∠GEH = 90° - 57°
m∠GEH = 33°
Diagonal of the rectangle are equal in measure and bisect each other.
8). m(FH) = m(FK) + m(KH)
= 32 + 32 [Since, FK ≅ KH]
= 64
9). m∠FGH + m∠EFG = 90° + 90°
= 180°
MNOP is a Rhombus, so the diagonals will be perpendicular and bisect each other.
10). m∠MRN = 90°
11). m(PR) = 12
Therefore, m(RN) = 12
"Diagonals of a rhombus bisect the opposite angles"
12). m(∠PON) = 124°
Therefore, m(∠POM) = 124°
"ABCD is an isosceles Trapezoid"
13). Therefore, ∠C ≅ ∠D
14). AB║CD
15). AD ≅ BC
please help this is due today
Simplify.
56bc
64cd
I need ASAP
Answer:
8c(7b + 8d)
Step-by-step explanation:
Supposing that you are ADDING these terms, you have 56bc + 64cd. This can be factored as follows: 56bc + 64cd = 8c(7b + 8d)
If you wanted to figure
out how much air is in
a basketball, would
you use plane
geometry or solid
geometry?
Answer:
solid gemontery
Step-by-step explanation: Plane geomentry is flat and soild is balls sqaures and other types of shapes.
adam hikes from bridgetown to lakeville. Gina starts at the same time, and hikes from Lakeville to Bridgetown on the same road. Their hikes are represneted on the graph below.
Answer:
45
Step-by-step explanation:
Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%
B.
67%
C.
0.6
D.
2/3
Answer: 40%
Step-by-step explanation:
A p e x
Answer:
40% A.
Step-by-step explanation:
17)
In the coordinate plane, the endpoints of a line segment are (-12, 9) and (16, -5). What is the midpoint of the line segment?
A
(2, 2)
B
(-2,2)
(4.-2)
D
which fraction is equivalent to -3/2?
3/-2
-(3/-2)
-3/-2
-(-3/2)
Which expression is equivalent to 2.2m2 – 3.5(4m – 1.4) + 3.6(8m2 – 4.5m)?
Answer:
31m2−30.2m+4.9
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is
31m² - 30.2m - 4.9
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m)
Remove the parenthesis.
2.2m² - 3.5 x 4m - 3.5 x 1.4 + 3.6 x 8m² - 3.6 x 4.5m
2.2m² - 14m - 4.9 + 28.8m² - 16.2m
Combine the like terms.
31m² - 30.2m - 4.9
Thus,
The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is
31m² - 30.2m - 4.9
Learn more about expressions here:
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Required
1
20 cm
R
What is the area of the shaded region? * 15
(100 Points)
20 cm
6 cm
w
8 cm
Enter your answer
Answer:
I think it is 116
Step-by-step explanation:
400 - 120 - 140 - 24 = 116
Min swims 4 7/10 laps on Tuesday and 3 5/10 laps on Wednesday . Jessica swims 5 3/10 laps on Tuesday and 4 2/10 laps on Wednesday how many laps did Jessica swim then Min
how can I find the smallest division of a measurement without a ruler? for eg. 12.45cm, what's the smallest division?
Answer:
Step-by-step explanation:
mm
I NEED HELP ASAP!!!!!
Solve the equation and show your work.
Here's the problem: 4x + 3x - 3(4x - 8) = 14
Step 1.) Eliminate parentheses by distributing the -3.
Step 2.) Collect any like terms on the left side of the equation.
Step 3.) Subtract 24 from both sides of the equation.
Step 4.) Divide both sides of the equation by -5.
Answer:
Step-by-step explanation:
x=2
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
10
14 cm
Cylinder's volume = 1330.5 cm^3
Step-by-step explanation:
radius, r = diameter, d / 2
= 11/2
= 5.5 cm
Volume = π r^2 h
= π × 5.5^2 × 14
= 423.5π
= 1330.5 cm^3
I need help with math trigonometry and law of sines
Answer:
Step-by-step explanation:
sinx/6=sin90/19
sinx=6sin90/19
x=arcsin(6sin90/19
x=18 degrees
Pleaseee helpp answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!!!! P equals what ??????
Answer:
P = 2t + 2u + 2v + 4w
Step-by-step explanation:
[tex]P =t + t + u + u + v + v \\ + w + w + w + w \\ \\ P = 2t + 2u + 2v + 4w \\ [/tex]
Which statement below is an example of the
Associative Property of Addition?
A. 7+(3+5)= 7+(5+3)
B.9+(11 + 6) = (9 +11) + 6
C. 3(6+5) = 3.6+3.5
D. 12(8 + 4) = 12(8) + 12(4)
Answer:
B
Step-by-step explanation:
Let say, a=9,b=11,c=6
Then associative properties says that every element is related to each other, here "b" associates a &c.
Therefore, a is related to b+c
c is related to a+b
Please help this is the last problem I need
Answer:
[tex]sin 54 = \frac{x}{14}[/tex]
Step-by-step explanation:
[tex]sine = \frac{opposite}{hypotenuse}[/tex]
Side z is the adjacent, since it is next to the angle you are solving for.
Side x is the opposite, since it is opposite the angle you are solving for.
The side measuring 14 is the hypotenuse, since it is across from the right angle.
[tex]sin 54 = \frac{x}{14}[/tex]
Susan's math teacher assigned x homework problems on Monday. On Tuesday, she assigned 15 more problems. Over the two
days, a total of 24 homework problems were assigned. Which equation could be used to find x, the number of problems assigned on
Monday?
A. 15x=24
B.24+x=15
C. x+15=24
D.x-15=24
Answer:
C
Step-by-step explanation:
We know that there were 24 questions in the 2 days
And we know that tuesday had 15 more question.
That means Monday had "x questions" + the 15 on tuesday to get 24 in total.