Using the z-distribution, as we are working with a proportion, it is found that the margin of error for a 95% confidence interval would be of 0.0008.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[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 the critical value is z = 1.96.
Considering the 99% confidence interval, which has z = 2.575, the estimate and the sample size are given by:
[tex]\pi = \frac{0.67 + 0.74}{2} = 0.705[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.74 - 0.705 = 2.575\sqrt{\frac{0.705(0.295)}{n}}[/tex]
[tex]0.035 = 2.575\sqrt{\frac{0.705(0.295)}{n}}[/tex]
[tex]0.035\sqrt{n} = 2.575\sqrt{0.705(0.295)}[/tex]
[tex]\sqrt{n} = \frac{2.575\sqrt{0.705(0.295)}}{0.035}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.705(0.295)}}{0.035}\right)^2[/tex]
[tex]n = 1126[/tex]
Hence, the margin of error is given by:
[tex]M = 1.96\sqrt{\frac{0.705(0.295)}{1126}} = 0.0008[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
A rectangular prism has length width w, and a height that is twice the length Which expression represents the volume of the prism
A 3lw
B 2l^ 2w
C 2l(l÷w)
D l^3w
Answer with step-by-step explanation:
Let's start by listing out the equation; w × l × 2l = v. If we simplify this equation, we would get w × [tex]2l^2[/tex] = v. This would mean the correct choice is B, because it shows the key equation, just written differently.
Hope this helped! (brainliest please)
How do I find the slope point equation of this when I only have (4,-2) and no slope?
Answer:
B
Step-by-step explanation:
pls help me with this
Answer:
8125, im pretty sure this is right
Step-by-step explanation:
Jane is helping the librarian stack books on some new shelves. She is to stack 116 books on 16 shelves. The librarian told her to put the same number of books on each of the 16 shelves. Describe a different way that Jane can use to determine the number of books she should put on each shelf.
Answer: The number of books she should put on each shelf = 7
Step-by-step explanation:
Given: Total books = 116
Total shelves = 16
To determine : The number of books she should put on each shelf, we first divides the total number of books by the total shelf.
[tex]116\div 16=7\dfrac14[/tex]
So she can put 7 books in each shelf such that (7x16=) 112 books got placed and (116-112=)4 books left.
Hence, The number of books she should put on each shelf = 7.
What is the median of this Box and Whisker plot? A) 40 B) 48.5 C) 37 D) 53.5
Answer:
40
Step-by-step explanation:
The middle dot of the box is the median.
Answer:
the median is 44.75
Step-by-step explanation:
first i add up all the numbers
40+37+48.5+53.5=175
then i divide them by how 4
179 divided by 4=44.75
What is the solution of (4 x minus 16) Superscript one-half Baseline = 36? x = 5 x = 13 x = 20 x = 328.
The solution of the given equation [tex](4x-16)^{1/2} = 36[/tex] is 328.
The given equation is:
[tex](4x-16)^{1/2} = 36[/tex]
What is solution of an equation?The solution of an equation is to find out the numeric value of the variable such that Left-hand side and Right-hand side becomes equal.
Squaring both sides of the given equation.
[tex][(4x-16)^{1/2} ]^2= (36)^2[/tex]
[tex]4x-16 = 36^{2}[/tex]
[tex]4x -16 =1296[/tex]
[tex]4x =1296+16[/tex]
[tex]4x = 1312[/tex]
x= 328
Therefore, The solution of the given equation [tex](4x-16)^{1/2} = 36[/tex] is 328.
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Helppp!!!!! URGENTTFFFFjajshshdhd
Answer:
114 cm²
Step-by-step explanation:
Mah teacher help me do this lol
Answer:
A1=4m*12m=48m^2
A2=6m*3m=18m^2
A3=A1
therefore A1+A2+A3=114m^2
4 (3r+4) = -8 (2r+5)
Answer:
-2
Step-by-step explanation:
Open the brackets on both sides
12r + 16 = -16r - 40
collect like terms
12r + 16r = -40 - 16
28r = -56
r = -56/28
r = -2
need help with geometry problem
Answer:
d. KL LM MK
Step-by-step explanation:
side opposite to the smallest angle is the shortest side and the side opposite to the largest angle is the longest side.
57 + 64 = 121
180 - 121 = 59
angle K is 59 degrees
onlinemath4allcom
help pleaseeee thank youuu
Hi :)
Your answer is .25
Lem.me explain
25x4 is 100
100 over 400 simplified is...
1/4
Here is an example
Jack had a Glass of milk 1/4 of the milk was left. Jack wanted to know how much more he would need to fill his cup
Jack would need .25 more to fill his glass
Hope this helps!
Brainliest!
Answer:
0.25
Step-by-step explanation:
To Turn 1/4 into decimal form:
Do..
1 ÷ 4 = 0.25
Check Answer:
0.25 x 4 = 1
Hence, 1/4 into decimal form is 0.25
~Learn with lenvy~
calculate the rate of change from the graph below
Answer:
The rate of change is 0.75 gallons per minute
Step-by-step explanation:
The rate of change of the linear relation is represented by the slope of the line which represents this relation
The rule of the slope of a line is
m = Δy/Δx, where
Δy is the vertical changeΔx is the horizontal changeFrom the given graph
∵ The line passes through points (0, 0) and (4, 3)
∴ Δx = 4 - 0 = 4
∴ Δy = 3 - 0 = 3
→ Use the rule of the slope above to find the slope of the line
∴ m = [tex]\frac{3}{4}[/tex] = 0.75
∵ The x-axis represents the time in minutes
∵ The y-axis represents the amount in gallons
∵ m represents the rate of change
∴ The rate of change = 0.75 gallons per minute
STOP ANSWERKNG WITH LINKS. PLEASE SOMEONE ANSWER THIS QUESTION ASAP , IVE SPENT ALL MY POINTS
Martin incorrectly claims that there are only parallel line segments found in the blinds. Give an example of perpendicular line segments found in the blinds
Answer: The stick that opens the blinds and, the string that pulls open the blinds.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
(-7, 8)
step-by-step explanation:
original coordinates of B: (-9, -8)if translated two units horizontally, there will be change in x axis
new coordinates: (-9+2, -8) → (-7,-8)if reflected over x-axis, use the formula: (x,y) → (x, -y)
new coordinates: (-7, -(-8)) → (-7, 8)Emma buys a house for £300,000. She sells the house for £315,000. Calculate the percentage profit Emma makes
She buys it for £300,000 and sell it for £315,000 -> she profits £15,000.
So, the percentage profit Emma makes is : 15,000 : 300,000 = 0.05 -> 5%.
Answer:
5%
Step-by-step explanation:
300000 = 100%
1% = 300000 ÷ 100 = 3000
She made 15000
15000 ÷ 3000 = 5%
Review Question: 5) f(x) = 2xsquared + 7x - 15 find f(-8)
Answer:
f(-8) = 57
Step-by-step explanation:
When x = - 8
f(-8) = 2 x (-8)² + 7 x (-8) - 15
f(-8) = 2 x 64 - 56 - 15
f(-8) = 128 - 56 - 15
f(-8) = 128 - 71
f(-8) = 57
[tex]\sf f(x) = 2x^2 + 7x - 1[/tex]
Just substitute the value of x as (-8) .
[tex]\sf f(-8) = 2(-8)^2 + 7(-8) - 15[/tex]
[tex]\sf f(-8) = 2(64) - 7(8) - 15[/tex]
[tex]\sf f(-8) = 128 - 56 - 15[/tex]
[tex]\sf f(-8) = 128 - 71[/tex]
[tex]\sf f(-8) = 57[/tex]
Ken sees cars on a road. He sees 120 cars pass in 3 minutes. How many cars pass per minute?
Answer:
Ken would see 40 cars pass each minute.
Step-by-step explanation:
40 x 3 = 120
Have a great rest of your day
#TheWizzer
Answer: 40 cars pass per minute.
Step-by-step explanation:
[tex]\frac{120cars}{3minutes\\}[/tex] = [tex]\frac{?cars}{1minutes}[/tex]
3? = 120 [cross multiply]
? = 40 [divided 3 from both side]
Therefore, 40 cars passes per minute.
Explain how you would graph the line containing a slope of -1/5 that goes through the point (1, -4).
Answer:
I would plot the point (1,–4) and then use the slope to move down 1 and right 5 to find another point on the line. Draw the line through the two points.
Step-by-step explanation:
i saw the answer
Answer:
I would plot the point (1,–4) and then use the slope to move down 1 and right 5 to find another point on the line. Draw the line through the two points.
Help would be appreciated, thanks
Answer:
-8
Step-by-step explanation:
the pattern is times 4
AM I PLAYING 2048??????
Answer:
-8
Step-by-step explanation:
This is a geometric sequence. Each term is obtained by multiplying 4 with the previous term.
common ratio = -128 ÷ (-32) = 4
-2 *4 = -8
HELP WILL GIVE CROWN
Answer:
When dividing with same base and different exponents, you need to subtract the exponents.
[tex]7^8/7^4\\= 7^8^-^4\\= 7^4[/tex]
Answer: C
Step-by-step explanation: 7^8= 5764801. And 7^4 = 2401. 5764801/2401 = 7^4
k(t) = 13t-2k(t)=13t−2k, left parenthesis, t, right parenthesis, equals, 13, t, minus, 2
k(3)=k(3)=k, left parenthesis, 3, right parenthesis, equals
Answer:
Step-by-step explanation:
right parenthesis, equals, 13, t, minus, 2 so think about it when you divide
k(t) = 13t-2k(t)=13t−2k then your answer would maybe be k=134
Answer:
The answer is 39 -2k
Step-by-step explanation:
if the volume of the cube is 125 CM find its length find its total surface area .
i need hurry
step by step
process by process
who will give correct answer i make him / her as a brainlists
Answer:
150cm^2
Step-by-step explanation:
Let the side of a cube = a cm
Volume of the cube = a³ = 125
Or, a³ = 5³
Or, a = 5 cm
Surface area of the cube = 6a²
Or, Surface area of the cube = 6×5×5
Or, Surface area of the cube = 150 cm²
Which of the following describes a situation in which the total distance a tennis player travels is 0 meter from his starting point? (5 points)
Question 2 options:
1)
The player runs 9 meters forward and then runs 0 meters in the opposite direction.
2)
The player runs 5 meters forward and then runs 6 meters in the opposite direction.
3)
The player runs 7 meters forward and then runs 7 meters in the opposite direction.
4)
The player runs 6 meters forward and then runs 5 meters in the opposite direction.
Need to know asap thank you god bless
Answer:
1) +9
2) -6
3) 0
4) 1
Step-by-step explanation:
moving forward is a positive, moving in the opposite direction is a negative. So if you move 9 meters forward (9) and 0 in the opposite direction, and equation would look like this: 9-0
I hope this helps :)
Answer:
The answer is C.
Step-by-step explanation:
Say you’re at 0 on the number line. You go forward 7 steps and backwards 7 steps. You arrive at 0. Therefore your answer would be C.
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Answer:
x = 33°
explanation:
The interior angles sum up to 180°
solve:
x + 20° + 4x - 5° = 180°
x + 4x + 20° - 5° = 180°
5x + 15° = 180°
5x = 180° - 15°
5x = 165°
x = 33°
Answer:
x = 33
Step-by-step explanation:
Sum of consecutive interior angles = 180°
⇒ (x + 20) + (4x - 5) = 180
⇒ 5x + 15 = 180
⇒ 5x = 165
⇒ x = 33
Give me a full note on oxidation number.
Answer:
oxidation number, also called oxidation state, the total number of electrons that an atom either gains or loses in order to form a chemical bond with another atom.Step-by-step explanation:
8 increased by twice Goran's age
Use the variable g to represent Goran's age.
Answer:
8+2g
Step-by-step explanation:
exercise have benenfit when?
Answer:
when u have a proper balance of diet also
Answer:
Exercise is a benefit when you are not eating very healthy and you may think your fat. It's good to exercise because then you can get more fit and fell better about your body and what you eat.
Step-by-step explanation:
To make a big batch of cookies for her father, Annmarie needs 1 1 4 pounds of chocolate chips, 3 4 pounds of walnuts, and 12 ounces of raisins. How many ounces of these three ingredients does she need in all?.
She will need 68 ounces in total for all three ingredients.
What will be the total ounces for all three ingredients?It is given that
For chocolate chips, she has = [tex]\dfrac{11}{4}[/tex] pounds
For walnuts, she has = [tex]\dfrac{3}{4}[/tex] pounds
For raisins, she has= 12 ounces
We know that,
[tex]\rm 1 \ pound = 16 \ ounces[/tex]
[tex]\rm For \ chocolate \ chips, she\ has = \dfrac{11}{4} \times 16 }=44 \ ounces[/tex]
[tex]\rm For \ walnuts,\ she\ has = \dfrac{3}{4} \times 16 }=12\ ounces[/tex]
[tex]\rm For\ raisins, she \ has= 12\ ounces[/tex]
so the total number of ounces she has will be the sum of all
[tex]=44+12+12 =68\ ounces[/tex]
Thus she will need 68 ounces in total for all three ingredients.
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heyy. can anyone help me ! please and thank you
Answer:
576 feet
Step-by-step explanation:
I'm going directly off the graph but it looks like the y-coordinate of the vertex is 576, which would make 576 feet the maximum height. Hope that helps :)
Select all of the expressions which correctly show how to convert 18 inches into yards
Simplify the equation.
A=1/2 [(x+10)+(5x-2)](x^2)=1/2[6x+8](x^2)
Answer:
3x^2+4x^2
Step-by-step explanation: