Answer:
Sample size is [tex]n=423[/tex]
Step-by-step explanation:
Given that,
Margin of error [tex]=4[/tex]%
Confidence level [tex]=90[/tex]%
Suppose, sample proportion[tex]=0.5[/tex]
i.e. [tex]\hat{P}=0.5[/tex]
We know that,
Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]
∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]
[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]
[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]
[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]
squaring on both side,
∴ [tex]n=423.1249[/tex]
Hence, the sample size is,
[tex]n=423[/tex]
Hence, the correct option is [tex](b).[/tex]
Answer:
423
Step-by-step explanation:
need help asap please!!
Answer:
[tex]\displaystyle 23[/tex]
Step-by-step explanation:
[tex]\displaystyle 4p = p + 69 → -69 = -3p; 23 = p[/tex]
I am joyous to assist you at any time.
3 pens cost $2.70.
What is the cost per pen?
Answer:
$0.90
Step-by-step explanation:
Answer:
$0.90
Step-by-step explanation:
Assuming there are no taxes or additional costs, one simply has to divide the total cost by the amount purchased to find the unit price, hence;
2.7 / 3
= 0.9
what is 8÷530 TYPE FAST
Answer:
0.0150
Step-by-step explanation:
8÷530
0.0150
it is correct
Write the equation in point-slope form for the line that contains points (4,1) and (6, 8).
y - 1 = 7/2 (x - 4)
y - 8 = 7/2 (x - 6)
y - 8 = 2/7 (x - 6)
y - 4 = 7/2 (x - 1)
y - 1 = 2/7 (x - 4)
Answer:
y -1 =2/7 (x - 4)
please mark as brainliest
WILL MARK YOU BRAINLIEST.
Reflect (-8, 7) across the y-axis.
Then reflect the result across the X-axis.
What are the coordinates of the final point?
Answer:
pooooooooooooopy
Step-by-step explanation:
Find an equation of the perpendicular bisector of the line segment whose endpoints are given.
(0,1) and (-10,5)
The equation is
andard form)
Answer:
The equation of the perpendicular bisector line
5 x - 2 y + 31 =0
Step-by-step explanation:
Explanation:-
Given points are ( 0,1) and (-10,5)
The Midpoint of given two points
[tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]
(-5 , 3)
The Slope of the line
m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-1}{-10} = \frac{-2}{5}[/tex]
The perpendicular slope
= [tex]\frac{-1}{m} = \frac{-1}{\frac{-2}{5} } = \frac{5}{2}[/tex]
The equation of the perpendicular bisector line
[tex]y - y_{1} = m (x - x_{1} )[/tex]
[tex]y - 3 = \frac{5}{2} ( x-(-5))[/tex]
2 y - 6 = 5( x +5)
5 x + 25 -2y +6 =0
5 x - 2 y + 31 =0
In the 1900s, the life expectancy of a human in the United States was 50 years. The life expectancy of a human now is 78 years. What is the percentage change in the life expectancy of a human in the United States?
Answer:
There would be a 56% increase
Step-by-step explanation:
We need to find the amount of change before we can find the percent of change. We'll take the greater value, 78, and subtract the lesser value, 50. 78 - 50 = 28. We then take this amount of change and put it over the original amount, Percent of change = Amount of change/ original amount or for this problem, 28/50. We then use that as a division equation for 28 divided by 50. 28 divided by 50 = 0.56. Finally we move the decimal to the right two times and we can then find the percentage increase.
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet
Answer:
60 seconds, 7715 feet
Step-by-step explanation:
Plane A and B start out 615 feet apart, and we find this by subtracting the height of plane A from plane B, getting 5000-4385=615. Now we have to find how many more feet of altitude plane A is gaining per second over plane B.
To find this we subtract 45.25 from 55.5 and get 10.25 feet per second. Now to find out how many seconds until they'll be at the same altitude we simply divide 615 by 10.25, getting 60 seconds.
For the second part, to find the altitude at this point, we simply multiply the altitude gain of one of the planes per second by the time of 60 seconds to get how much altitude they gained over that time, and add it to the starting altitude. Doing this with plane B we get 45.25*60=2715, and we add that to 5000 to get the final answer of 7715.
SOMEONE PLEASE HELP ME THIS IS ALMOST DUE AND I NEED THE RIGHT ANSWER PLZ!!!
Answer: 9
Step-by-step explanation:
super easy
basically do 15-5 which is 10
thats the hypotenuse side
now apply pythegorean theorem: 5 squared + x squared= 10 squared
25+ x squared=100
x squared=75
x approxiametly equals 9
4) What type of sequence is shown: 1, 2, 4, 7, 10,...
Answer:
Stohr sequence
Step-by-step explanation:
Let a_1=1 and define a_(n+1) to be the least integer greater than a_n which cannot be written as the sum of at most h>=2 addends among the terms a_1, a_2, ..., a_n. This defines the h-Stöhr sequence
The triangular faces of the peaks on a roof are congruent isosceles triangles with vertex angles U and V.
a. Which two angles are congruent to ∠WUX?
b. Find the distance between points U and V.
Answer:
(a). ∠UXV, ∠XVY ; (b). UV = 8 m .
Step-by-step explanation:
Can i Have some help
Answer:
a= .293
b= .924
c= 9.455
d= 1.975
The answer is B luv !
1) Which of these are equivalent to - ? Choose ALL that apply.
PLEASE ANSWER ASAP !!!!
*ANSWERS ON PIC*
Ashley is saving money for the newest iPhone. It costs $999.75. She gets a $15 weekly allowance and babysits for 4 hours a week at $13.50 an hour. She gets paid once a week. She pays $4.50 a week for school lunch. She saves the rest of her money.
PART A Write an inequality to find the number of weeks it will take her to save enough money for the iPhone.
PART B Solve the inequality.
PART C Graph the solution to the inequality.
PART D How long will it take her to save enough money to buy the iPhone?
Answer:
A) 999.75 </= 15w + (4(13.5))w - 4.5w
B) 999.75 </= 64.5w
C) Can't Graph On Here Sorry
D) 15.5 weeks
Step-by-step explanation:
A) 999.75 </= 15w + (4(13.5))w - 4.5w
B) 999.75 </= 15w + 54w - 4.5w
999.75 </= 69w - 4.5w
999.75 </= 64.5w
C) Just graph it, Price needed being Y (Also money), Times (in weeks) being X
D) 999.75/64.5
w >/= 15.5
Find the unit price of a 4-pack of mixed fruit sells for $3.75
Use the drop-down menus to complete the sentence:
The terminal ray of a 300° angle lies in the ______ quadrant.
This angle measures (________) Pi radians.
Answer:
fourth
5/3
Step-by-step explanation:
edge2021
Answer:
Fourth
5/3
Step-by-step explanation:
Calculate the hypotenuse. Find the missing side of each triangle, leave your answers in simplest radical form.
Answer:
easy
Step-by-step explanation:
just mutiply both numbers of the the side by themselves or square them, then add them together and find the square root. sorry that i can't do them individual but this is a simple explaination
I will give brainiest to whoever answers correctly !!
Answer: approx. 4077.7
Step-by-step explanation:
Use this formula: T=a*(1+m%)^n (T: result; a: initial money; m:interest; n:months)
Leo has 3 8/9 ounces of sunblock. He uses one-fifth of an ounce at the beach. How much does he have left?
Step-by-step explanation:
7/9pls mark as brainliest
Answer:
Step-by-step explanation:
It's 3 31/45
Consider triangle Wes the legs each have a length of 10 units. What is the length of the hypotenuse of the triangle
Im serious this time is it appropriate to use a old notebook for a new class in highschool?
Specifically math cuz they made us get big five subject notebooks and we haven't even filled half of it and the years almost over I thought about reusing it for next year's math class
Answer:
Of course it is!
Step-by-step explanation:
You might want to have a separator, so you know what page your new year textbook starts. I hope this is a food tip to save money!
Given f(x) = x^3 + kx + 2, and x + 1 is a factor of f(x), then what is the value of
k?
Answer:
k = 1
Step-by-step explanation:
Given that,
[tex]f(x) = x^3 +kx + 2[/tex]
If (x+1) is a factor of (x), we need to find the value of k.
Using remainder theorem to find it.
Put (x+1) = 0
x = -1
Put x = -1 in equation below.
[tex]x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1[/tex]
So, the value of k is 1.
Write as an algebraic expression: “eleven less than four times the number of text messages"
Answer:
[tex]11 < 4x[/tex]
let number of text messages be x
is 4 1/2 equivalent to 4.5/100
Answer:
Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.
Step-by-step explanation:
hope i could help
Kevin reads 8 pages in 15 minutes. If he reads at a constant rate, how long will it take him to read 20 pages? 65PTS!!
Answer:
37.5 minutesStep-by-step explanation:
Use page/min ratio to solve:
8/15 = 20/xx = 20*15/8x = 37.5 minutesAnswer:
37.5 minutes I think
Step-by-step explanation:
5 cm
7 cm
10 cm
15 cm
8 cm
115 cm
What is the area of the object above?
OA. 60 cm2
OB. 155 cm
OC. 120 in?
OD. 225 cm2
Submit
Reset
Answer:
155
Step-by-step explanation:
calculate the areas of 2 rectangles
method A
one rectangle with lengths 8 and 10
the other 15 and 5
so 8x10 + 15x5 = 80 + 75 = 155
method B
one traingle with lenghts 5 and 7
the other 15 and 8
so 15x8 + 5x7 = 120 + 35 = 155
Find the sum of the expressions .
8+x-13+n(3-x) =
Answer: =−nx+3n+x−5
Step-by-step explanation:
EASY WORK!! Plz look at the photo and yes it’s easy for other people but not me .
Answer: 48
Step-by-step explanation:
Answer:
b) 54 minutes ( week 6 )
What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.(4,8)
(2, 2)
Answer:
-2
Step-by-step explanation:
m=y2-y1/x2-x1
y2=2 y1=8
x2=2 x1=4
=2-8/4-2
=-4/2
=-2
In a laboratory The Count of bacteria in a certain experiment was increasing at the rate of 2.5 % per hour find the bacteria at the end of 2 hours if the count wasn't really 5,06,000.
Answer:
Прости я не понямайу по англискем