Answer: n = 600.25 ≈ 601 ( sample size)
the minimum sample size of the adults in United State who have sleep deprivation is 601
Step-by-step explanation:
Given that;
the confidence level = 95% = 0.05
the Margin of error E = 4% = 0.04
∴ level of significance ∝ = 1 - C.L
∝ = 1 - (95/100)
= 0.05
Z∝/2 = 0.05/2 = 0.025
Z-critical value at 95% confidence level is OR level of significance at 0.025 = 1.96 (z-table)
Now to calculate the sample size, we say
n = (Z(critical) / M.E )² P ( 1 - P)
now we substitute
n = (1.96 / 0.04)² × 0.5 ( 1 - 0.5)
n = 2401 × 0.5 × 0.5
n = 600.25 ≈ 601
Therefore the minimum sample size of the adults in United State who have sleep deprivation is 601
Using the formula for the margin of error, it is found that a sample of 601 is needed.
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]\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 z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [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 [tex]z = 1.96[/tex].
In this problem:
There is no previous estimate, hence [tex]\pi = 0.5[/tex] is used.The minimum sample size is n for which M = 0.04, hence:[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 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, a sample of 601 is needed.
A similar problem is given at https://brainly.com/question/25420216
Which graph shows the solution to the system of inequalities below?
The cube of the difference of a number and 9.
Answer:
Hey there!
Let x be the number.
Thus, we have [tex](x-9)^3[/tex]
Hope this helps :)
19. Write the perimeter of the rectangle as a
simplified expression.
x - 3
7x + 1
Answer:
16x - 5
Step-by-step explanation:
2(x-3) + 2(7x+1) since there are 4 sides, 2 which have the same dimensions
2x - 6 + 14x + 1 = 16x - 5
The simplified expression of the perimeter of the rectangle should be 16x - 4.
Given that
x - 37x + 1We know that
The perimeter of the rectangle be
= 2(length + breadth)
= 2(x - 3 + 7x +1)
= 2x - 6 + 14x + 2
= 16x - 4
Therefore we can conclude that the simplified expression of the perimeter of the rectangle should be 16x - 4.
Learn more about the rectangle here: brainly.com/question/20733283
Write the sentence as an equation the product of 187 and n is the same as 264
Answer:
i would like to say you divide but not shure im just starting 8th grade but good luck
Step-by-step explanation:
A certain right triangle with integer side lengths has perimeter $72$. What is its area?
Answer: 216 square units
====================================================
Explanation:
A common pythagorean triple you may be familiar with is the 3-4-5 right triangle. This has two legs of 3 and 4, and a hypotenuse of 5. The perimeter is 3+4+5 = 7+5 = 12. Note how this is a factor of 72.
If we multiply the perimeter (12) by 6, then 12*6 = 72. So we have scaled the triangle by a factor of 6. Each length is 6 times longer
the side length 3 becomes 3*6 = 18
the side length 4 becomes 4*6 = 24
the side length 5 becomes 5*6 = 30
The new perimeter is 18+24+30 = 42+30 = 72
The last step is to find the area. The two legs of this triangle are the base and height
area = 0.5*base*height
area = 0.5*18*24
area = 9*24
area = 216
-----
Or you could find the area of the 3-4-5 right triangle to get
area = 0.5*base*height = 0.5*3*4 = 6
then multiply by 36 to get 6*36 = 216. The 36 is the square of the scale factor 6 we applied above. The new lengths are 6 times longer, so the new area is 6^2 = 36 times larger.
Si una llave vierte 6 1/3 litros de agua por minuto, ¿cuánto tiempo tardará en llenar un depósito de 88 2/3 litros de capacidad?
Answer: 14 minutes
Step-by-step explanation:
Given: A tap pours [tex]6\dfrac13[/tex] liters of water per minute.
To find : Time taken to fill an[tex]88 \dfrac23[/tex] liters capacity tank.
which is given by :-
Time = [tex]88 \dfrac23\div 6\dfrac13[/tex] minutes
[tex]=\dfrac{3\times88+2}{3}\div\dfrac{3\times6+1}{3}[/tex] minutes
[tex]=\dfrac{266}{3}\div \dfrac{19}{3}[/tex] minutes
[tex]=\dfrac{266}{3}\times\dfrac{3}{19}[/tex] minutes
[tex]=\dfrac{266}{19}=14\text{ minutes}[/tex]
Hence, it will take 14 minutes to fill an[tex]88 \dfrac23[/tex] liters capacity tank.
PLEASE ANSWER QUICKLY! MATH: mr. Sanford left half of hi fortune to April, his daughter. he left half of the remaining half to his Uncle Jed. He left half of the remaining half to charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune.
Answer:
$240,000
Step-by-step explanation:
Mr. Sanford's fortune is x
He left 1/2x to daughterHe left 1/2*1/2x = 1/4x to Uncle JedHe left 1/2*1/4x = 1/8x to charityHe left the remaining $30,000 to the local animal shelter.Then we got the equation:
x = 1/2x + 1/4x + 1/8x + 30000x = 7/8x + 300001/8x = 30000x= 8*30000x= $240000Mr. Sanford’s fortune was $240,000
What is x in these equations a) x+4= 7² - 6 b) x+ √4 + 19= 4x +9
Answer:
a) 39
b) 4
Step-by-step explanation:
[tex] {7}^{2} = 7 \times 7 = 49[/tex]
Terrance makes $12.50 per hour doing landscaping and earned $275 this
week. How many hours did he work?
Answer:
22 hours
Step-by-step explanation:
pay rate = (amount of money)/time
(pay rate) * time = amount of money
time = (amount of money)/(pay rate)
time = $275/($12.50/hour)
time = 22
Answer: 22 hours
Answer:
22 hours
Step-by-step explanation:
We know that Terrance makes $12.50 per hour and he made $275 a week. We can divide 275 by 12.50 :
275 ÷ 12.50 = 22
So Terrance worked 22 hours
Check answer:
22 x 12.50 = 275
A 11/16-inch-long bolt is used in a machine. What is the length of the bolt written as a decimal? (Please help)
Answer:
0.6875
Step-by-step explanation:
11 divide 16 and you get 0.6875
Answer:
The answer is 11/16=0.6875.
A two-digit number is 3 times the sum of the digits. If the digits are reversed, the new number formed is 9 less than three times the original number. What is the two-digit number?
Answer:
27
Step-by-step explanation:
2+7=9.
9x3=27
72+9=81
27x3=81
Select the expression equivalent to(6x + 5)-(4x – 6).
Referring to the Fig. in Question #3, evaluate the expression shown when a = 3, b = 8, c = 4 Please help.
Answer:
[tex]\huge\boxed{4}[/tex]
Step-by-step explanation:
=> [tex]\sqrt{b^2-4ac}[/tex]
Given that a = 3 , b = 8 and c = 4
=> [tex]\sqrt{(8)^2-4(3)(4)}[/tex]
=> [tex]\sqrt{64-48}[/tex]
=> [tex]\sqrt{16}[/tex]
=> 4
after leaving home for school, it had taken you 15 minutes to walk 1000 feet. if your destination is a total of 1200 feet from home, about how many minutes do you have left to walk?
Answer: 3 min
Step-by-step explanation:
Step 1. Find the constant speed
you walked 1000 feet in 15 min
1000 ft/ 15min=200/3 ft / min
Step 2. Apply the constant speed to the left distance
You already walked 1000 feet and it is total 1200 feet
1200-1000=200 feet left
distance ÷ speed=time
200 ÷ (200/3)=3 min
Hope this helps!! :)
Please let me know if you have any question
Draw two lines and a transversal...
picture:
=================================================
Explanation:
It might help to move either line m or line n to make them parallel to one another. This isn't required but it might help to see the answer better.
Angles 1 and 2 are between lines m and n, so they are interior angles. They are alternate interior angles as they are on alternate sides of the transversal line.
Angles 2 and 3 are on the same side of the transversal, and both are above their adjacent parallel line counterpart, so they are corresponding angles.
Angles 3 and 4 are outside the interior region, and they alternate on either side of the transversal. They are alternate exterior angles.
Angles 1 and 4 are corresponding for similar reasons as angles 2 and 3 are.
-------------
Notes:
Drawing A has angles 1 and 2 be alternate interior, but angles 2 and 3 are not corresponding (they're vertical angles)Drawing C is a similar story as drawing A, just things have been rearranged.Drawing D has angle 1 as an exterior angle, so it cannot be an alternate interior angle.Help needed ASAP will give brainliest!
Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the
following polynomials?
2x^3+12x-3x+54
-2x^2+15
-2x^3+13x^2+3x-54
O 2x^2-3
Answer:
Option (3)
Step-by-step explanation:
If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.
(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)
= -2x³ + x² + 9x + 12x² - 6x - 54
= -2x³ + 13x² + 3x - 54
Therefore, Option (3) will be the correct option.
In circle C, r = 32units what is the area of circle C
Answer:
1024π, 3215.36
Step-by-step explanation:
The formula for the area of a circle is πr^2
R is the radius, which is already given to us. We need to find r^2
32x32=1024
1024π
We can leave it in terms of pi or we can solve it out.
1024x3.14=3215.36
1024π, 3215.36
Answer:
see below
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi * 32^2
A =1024 pi units^2
If we use pi = 3.14
A = 3215.36 units^2
If we use the pi button
A =3216.990877 units^2
A sequence is defined below.
f(0) = 7
f(n) = 2f(n - 1) - 3 for n > 1, where n is an integer
What is the third number in the sequence?
Answer:
35
Step-by-step explanation:
f(0) = 7
f(1) = 2f(0) - 3 = 11
f(2) = 2f(1) - 3 = 19
f(3) = 2f(2) - 3 = 35
Write each equation in standard form. Identify A, B, and C.
43. y=12x
44. -4y=3x-24
45. 4x=8y-12
46. Word problem: The distance the Green family traveled during their family vacation is given by the equation y=65x, where x represents the number of hours spent driving. How far does the Green family travel in 8 hours?
Answer: The answers are in the steps.
Step-by-step explanation:
A standard form equation says that Ax + By=C
SO we have to set all the equations to be like that.
43. y = 12x Subtract 12x from both sides.
-12x + 1y = 0 In this case -12 is A, 1 is B , and 0 is C.
44 . -4y =3x -24 subtract 3x from both sides
-3x - 4y = -24 A is -3 , B is -4, and C is -24
45. 4x = 8y - 12 Subtract 8y from both sides.
-8y -8y
4x - 8y = -12 A is 4, B is -8 and C is -12
46. If we are given the equation y=65x and x represent the number of hours spent driving. And it says that how far do you travel in 8 hours then plot 8 into the equation for x and solve for y.
y = 65(8)
y= 520
They traveled 520 miles in 8 hours .
I need help please.ASAP
Answer:
20
Step-by-step explanation:
I do not know how to explain it for you thanks
The temperature is -3°F at 7 A.M. During the next three hours, the temperature increases 13°F. What is the temperature at 10 AM?
A -16°F
B-16°F
C- 10°F
D-10°F
Some one help? Im confused with this part of geometry just tell me what answer
Answer:
the answer is actually PS (7x - 7)
Hoped that I helped
How do you do question 12? Options:
A 4
B 1/4
C -1/4
D -4
Answer:
it is D
Step-by-step explanation:
6x – у = -9
—12х – 4 y = 0
Answer:
-15
3
Step-by-step explanation:
6x-y=-9
6x-(15)=-9
-12x-4y=0
-12x-4(3) =0
-12-12=0
given a20=100 and a50=400 identify the common difference “d”
Answer:
a20=a+19d
or,100=a+19d
or, a=100-19d--------(I)
again,
a50=a+49d
or, 400=a+49d
or, a=400-49d--------(ii)
equating equations,we get
100-19d=400-49d
or, 30d=300
so, d=10
Step-by-step explanation:
plz mark it as brainliest
Which of the following best describes the term constructions in geometry?
A: Combining two or more figures together to create a new figure or shape.
B: A way to draw precise figures using a compass and a straightedge.
C: Creating a figure or shape by hand.
D: Places where things are being built that often slow down traffic.
Answer:
B: A way to draw precise figures using a compass and a straightedge.
Step-by-step explanation:
In geometry, the term 'construction' refers to the draw geometrical shapes and figures accurately. The lines, angles, figures, and shapes are drawn with the help of a compass, ruler, and pencil. Arcs and lines are drawn neatly and angles are constructed. The lines and shapes are constructed without known lengths or angles with the help of the compass, pencil, and ruler.
Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Answer:
Step-by-step explanation:
sum of angles of parallelogram=360 degrees
adjacent angles add up to 180 degrees (supplementary angles)
Angle A=104 (DAB=104)
Angle D=180-104=76 degrees (angle ADB)
Angle B=60 degrees
Angle C=180-60=120 (DCB)
What is 2x-6 = 3x+1-X-7 and you have to regroup/ divide by number next to x?
Answer:
infinite solutions
Step-by-step explanation:
2x-6 = 3x+1-X-7
Combine like terms
2x-6 = 3x-x +1-7
2x-6 = 2x -6
subtract 2x from each side
-6 = -6
Since this is a true statement, x can be any real number
WILL MARK BRAINLIEST AND 20 POINTS Determine algebraically whether each of the following functions is even, odd, or neither. f(x) = x^2 - x
Answer:
Neither
Step-by-step explanation:
The function is neither because if it was even it would follow the rules of:
[tex]f(-x)=f(x)[/tex]
and if it was odd it would follow the rules of:
[tex]-f(x)=f(-x)[/tex]
but instead it follows the rule:
[tex]-f(x)\neq f(-x))\\[/tex]