Using the z-distribution, it is found that the 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.
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.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The other parameters are given by:
[tex]n = 90, \pi = \frac{12}{90} = 0.1333[/tex]
Then, the bounds of the interval are found as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 - 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.041[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 + 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.2256[/tex]
The 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.
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Please Help
What is the sum of the two solutions to x^(2)+5x+6=0
Answer:x=−3
x=−2
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
Hi, First begin by solving the quadratic equation
x^2 + 5x + 6
What two numbers multiply to get 6 but add to make 5? I would use 3 and 2
X^2 + 3x + 2x + 6
x(x+3) 2(x+3)
(x+2) (x+3)
X=-2
X=-3
These are your two solutions
-2 + -3 = -5
A rectangle has an area of 91.7 square inches and a base of 13.1 inches. What is the height?
Answer:
7 inches
Step-by-step explanation:
The area of a rectangle A is equal to its length times its width (or base times height if you want to put it that way.)
Since A = b*h, h = A/b. Plugging in values gives you 91.7/ 13.1 = 7 inches.
So the answer is 7 inches.
A city’s population is 12,800. It is predicted that the population will increase by 3% each year.
Part a: Write a function that can be used to find the city’s population after t years.
Part b: If the city’s population, p, continues to grow 3% per year, what will the approximate population be in 15 years. Round to the nearest integer.
Answer:
18,560
Step-by-step explanation:
3 percent *12800 =
(3:100)*12800 =
(3*12800):100 =
38400:100 = 384
384*15 = 5760
12800 + 5760 = 18560
When three or more numbers are added, the sum is the same regardless of the grouping. Which property is this Associative, Commutative, or Distributive property
Answer:
Associative property
Step-by-step explanation:
have fun
what is the answer to this problem (8+2)³-6
Answer:
994
Step-by-step explanation:
(8+2) = 10
10^3 = 1000
1000 - 6 = 994
Answer:
994
Step-by-step explanation:
(8+2)³-6
10³-6
1000-6
994
Hope that helps!
A chocolatier makes chocolate bon-bons in the shape of a sphere with a diameter of 2 cm. The chocolate used in the bon-bons has a density of 1.33 g/cm^ 3 If the chocolate used costs $0.04 per gram, how much would the chocolate for 110 bon bons cost , to the nearest cent?
The total amount it would cost to make 110 bon bons given the cost per gram is $24.52.
What is the total amount it would cost to make 110 bon bons?The first step is to determine the gram used in making the chocolate.
Gram = density x volume
Volume = 4/3πr³
4/3 x 22/7 x (2/2)³ = 4.19cm³
Gram = 4.19cm³ x 1.33 = 5.57 g
Cost of 110 bon bons = 5.57 x 0.04 x 110 = $24.52
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Help due in an hour and I am confused
Answer:
48 degree
Step-by-step explanation:
Angle EFD=Angle EGD=42 degree
Angle EFG=90 degree
Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree
Answer:
m∠DFG = 48°
Step-by-step explanation:
Angles in a semicircle Theorem
The angle at the circumference in a semicircle is 90°
Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°
As the sum of the interior angles of a triangle is 180°
m∠EDG + m∠EGD + m∠DEG = 180°
⇒ 90° + 42° + m∠DEG = 180°
⇒ m∠DEG = 48°
As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°
HURRY PLEASE I WILL GIVE BRAINLIEST AND LOTS OF POINTS
Answer:
[tex]m = \dfrac{3}{4} [/tex]
Step-by-step explanation:
We would like to find the slope of the line of the given equation .
[tex]\longrightarrow y =\dfrac{3}{4}x -1 [/tex]
We know that slope intercept form of the line is given by ,
[tex]\longrightarrow y = mx + c [/tex]
where ,
m is the slope c is y interceptNow we can compare the given equation with the slope intercept form to find the slope . You will see that 3/4 is present at the place of m .Therefore ,
[tex]\longrightarrow \underline{\underline{m=\dfrac{3}{4}}} [/tex]
Hence option C is correct choice .
Answer:
C. 3/4 (third option).Step-by-step explanation:
Use the slope-intercept formula.
Slope-intercept formula:
→ y=mx+b
The m represents the slope.The b represents the y-intercept.So, the slope is 3/4 and y-intercept is -1.
Therefore, the correct answer is C. 3/4.I hope this helps! Let me know if you have any questions.
An auto mechanic has collected $1468.63 for parts, including 6% tax. For accounting purposes, he must determine exactly how much of the total was in sales tax.
HINT: Let "x" stand for the dollar amount of the parts BEFORE tax was added.
Answer:To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + ...
Step-by-step explanation:
You create a recipe for slime by making some 20% pure slime and some 80% pure to create 100 gallons of a 65% slime mixture. How man gallons of the 20% mixture are needed
About 25 gallons of 20% mixture are needed to make the 80% mixture.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of gallons of 20% mixture needed, hence:
(20% of x) + (80% of y) = 65% of 100
0.2x + 0.8y = 65 (1)
Also:
x + y = 100 (2)
From both equations:
x = 25, y = 75
About 25 gallons of 20% mixture are needed to make the 80% mixture.
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What is the volume of this prism?
3 cm
3 cm
20 cm
13 cm
13 cm
6 cm
Answer:
720
Step-by-step explanation:
break the area into two shapes the triangle and the rectangle
then you good
add (5y - 1) + (-2y + 4) =
Answer:
3(y+1)!
Step-by-step explanation:
Find the area of the quadrilateral
Answer:
58.58
Step-by-step explanation:
[tex] \frac{1}{2} \times 10 \times 3 \\ 5 \times 3 = 15.....(1)[/tex]
[tex] \frac{1}{2} \times 10 \times 10 \\ 5 \times 10 = 50...(2)[/tex]
Add one and two :- 15+ 50 = 65
Select all ordered pairs that correspond to input-output pairs of the function y = −9x + 5
A: (-22, 3)
B: (4, 0)
C: (8, -67)
D: (6, -49)
Step-by-step explanation:
input is C and D and output is A and B
Help please this is complicated
Answer:
2=29
3=x?
kris kross
2x=3×29
2x=87
divide both sides by two
x=43.5
and
3=43.5
so find by this method
i dont understand???????????
Answer:
Step-by-step explanation:
We can obtain that the dimensions of the rectangle are 7 by 5.
Since A = lw, the total area is 35.
Help me please! I’ll give Brainliest to the right answer!
Answer:
(x,y) ---> (x+9, y+8)
Step-by-step explanation:
you simply take one point (ex point R to R^1) and count the distance from left to right/right to left which is 9 so that is your X and count up which will be your Y in this case is 8.
Keisha cuts a 2/3 foot rope into 1/12 foot piecesz how many pieces of rope was she able to cut?
Do I divide 2/3 by 1/12?
Answer:
yes its 24/3 but reproduce is 1/8
Step-by-step explanation:
PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER
Hello!
[(4πr³)/3]/2
r = 7,5yd
[4 *3,14*7,5³/3]/2
=> 883, 125yds ³
write the standard form of the equation of the circle with the given center and radius. Center (2.-1), r= √3
Answer:
(x-2)^2 + (y+1)^2 = 3
Step-by-step explanation:
That is the standard equation for a circle given h,k center and r
23 Safia says,
3, 13 and 23 are all prime numbers so
all numbers that end in 3 must be prime.
Explain why she is wrong.
Wrong because there will be sometimes a number that will be dividend by three completely.
See :-
9393/3 = 31
6363/3 = 21
3333/3 = 11
[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex]~←(>▽<)ﾉ
Answer:
Step-by-step explanation:
We only need to find one exception to prove that she is wrong.
One such number is 33, which = 3 * 11 ( noit prime).
An investment account plays 3.7% annual interest compound weekly. If $370 is invested in this account, what will be the balance after 12 years?
Answer: 358
Explanation: 370 - 12 = 358
what is the value of 350 - 30(-14 + 3.5)
Answer:
665
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Answer:
665
Step-by-step explanation:
350 - 30( - 14 + 3.5) ← evaluate the parenthesis
= 350 - 30( - 10.5) ← distribute parenthesis by - 30
= 350 + 315
= 665
Jill always buys the same kind of shampoo in an 11.5-ounce bottle. She is at the store buying more and sees that the bottle is now bigger and has 20% more for the same price. How many ounces of shampoo are in the new bottle.
Step-by-step explanation:
100% = 11.5
20% more means 120%
120% = 100%×1.2 = 11.5×1.2 = 13.8 ounces
Nihkil surveyed 20 students at his middle school and 13 of them had at least one sibling. What percent of the students surveyed have at least one
sibling?
The students surveyed have at least one sibling are 65%.
What is percentage?The word "per centum," which means "by the hundred," was used to create the phrase "percentage." The denominator of a percentage is 100, which are fractions. To put it another way, it is the relationship between parts and the whole, where the whole always has a value of 100.
Rate is characterized as a given part or sum in each hundred. The denominator is 100, and the symbol "%" denotes that it is a fraction.
Given total student surveyed = 20
students had at least one sibling = 13
percent of the students surveyed have at least one sibling =
(students had at least one sibling)/(total student surveyed) x 100
percent of the students = 13/20 x 100
percent of the students = 65%
Hence 65% of students surveyed have at least one sibling.
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choose the name of the highlighted part.
Answer:
B.edge it is the correct answer!
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu
Answer:
3mm
Step-by-step explanation:
4 (3/4)
4x3/4
=3
brainiest please
Answer:
3 mm⠀
Step-by-step explanation:
⠀
We know,
[tex]{\longrightarrow \qquad \boldsymbol{\pmb{Perimeter_{(square)} \it=4a }}}[/tex]
⠀
Where,
a is the side length of the square. Here, a = [tex] \sf \: \dfrac{3}{4} [/tex] mm⠀
Now, Substituting the values in the formula :
⠀
[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it4 \times \it \dfrac{3}{4} }}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it \cancel4 \times \it \dfrac{3}{ \cancel4} }}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\boldsymbol {\pmb{Perimeter_{(square)} = 3 }}}}[/tex]
⠀
Therefore,
The perimeter of the square is 3 mmPower Up Test Practice
15. The table shows the money raised by each type of booth
at a craft sale. The mean amount raised per booth was $50
How much money was raised by the T-shirt booth? Explain
how you found your answer.
Martin Gai Sande
Answer: 26
Step-by-step explanation: Add all the booths together and you will get 300. You will get 300 because the t-shirts booth is $26. Now divide 300 by how many booths there are, which is six. And your mean will be 50.
1/(x+1) divided by 4/(x+1)+6/x
Answer:
4x/(x+1)(x2+x+6)
Step-by-step explanation:
Jean listed the steps involved in the life cycle of a gymnosperm. 1 - The pollen gets stuck in a sticky liquid. 2 - Sperm from the pollen fertilize the egg in the ovule. 3 - The ovule develops into a seed. 4 - When mature, the seeds are dispersed. Which step is missing? Before step 3, the ovule develops cones. Just after step 3, the ovule develops cones. Before step 1, wind carries pollen from the male to the female cones. Just after step 1, wind carries pollen from the male to the female cones
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just after step 3, the ovule develops cones.