Using the z-distribution, as we are working with a proportion, it is found that the 83% confidence interval is (0.5789, 0.7611).
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 an 83% confidence level, hence[tex]\alpha = 0.93[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.83}{2} = 0.915[/tex], so the critical value is z = 1.37.
The other parameters are [tex]n = 50, \pi = 0.67[/tex].
Then, the bounds of the interval are given as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.5789[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.7611[/tex]
The 83% confidence interval is (0.5789, 0.7611).
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Answer:
CI = (57.89%, 76.14%)
Step-by-step explanation:
First, solve for the 83% critical z-value (za/2). Second, solve for the margin of error. Third, solve for the confidence interval by subtracting and adding the margin of error with the sample probability of success.
What is the length of the sides of kite abcd? ab = 20; cd = 15 ab = 15; cd = 20 ab = 9; cd = 16 ab = 24; cd = 25
The length of the side AB and side CD of kite abcd which is shown in the figure is 15 units and 20 units respectively.
What is Pythagoras theorem?Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.
Let the intersection point of dignoals is O. The figure of the kite ABCD, is attached below. The sides of the kite ABCD, are,
[tex]AO=12\\OB=9\\CO=12\\OD=16[/tex]
In the triangle AOB using the pythagours theorem,
[tex]AB=\sqrt{(AO)^2+(OB)^2}\\AB=\sqrt{(12)^2+(9)^2}\\AB=\sqrt{225}\\AB=15[/tex]
Similarly, in the triangle DOC using the pythagours theorem,
[tex]CD=\sqrt{(CO)^2+(OD)^2}\\CD=\sqrt{(12)^2+(16)^2}\\CD=\sqrt{400}\\CD=20[/tex]
Thus, the length of the side AB and side CD of kite abcd which is shown in the figure is 15 units and 20 units respectively.
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Answer:
its B
Step-by-step explanation:
Briefly describe a predatory/prey boom bust graph.
Answer:
This can lead to cyclical patterns of predator and prey abundance, where prey increase in number and then, with abundant food, predator number increases ...
Step-by-step explanation:
-x - 3y = 6, 2x + 3 = -8 equivalent equation and solution
Answer:
x = -11/2 , y = -1/6
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}-x-3y=6\\ 2x+3=-8\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=-\frac{11}{2}[/tex]
[tex]\begin{bmatrix}-\left(-\frac{11}{2}\right)-3y=6\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}\frac{11}{2}-3y=6\end{bmatrix}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-\frac{11}{2},\:y=-\frac{1}{6}[/tex]
Hence, x = -11/2 , y = 1/6
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Rounding please help! Math
it is just still 5 I believe :P hope this helps
What is the length of LM?
Answer:
Step-by-step explanation:
The length of LM is 24√(3)
the short leg is 24
the hypotenuse is 24*2 = 48
PLS HELP ILL MARK AS BRAINLIEST
Answer:
296, 288, 280, 240
Step-by-step explanation:
y = -8x + 296 is a linear equation by which you're plugging the x values of 0,1,2,7 into it to get a y value.
y = 296 when x = 0,
y = 288 when x = 1,
y = 280 when x = 2,
y = 240 when x = 7.
Cheers!
Analyze the diagram below and answer the question that follows.
In the triangle above, what is the measure of ∠A?
A. m∠A = 30°
B. m∠A = 45°
C. m∠A = 60°
D. cannot be determined
Answer:
B
Step-by-step explanation:
sames sides same angle
180=90+2x
180-90=2x
90=2x
x=45
Rewrite in simplest terms: 8(2n + n + 8) − n
Answer:
[tex]23n + 64[/tex]
Step-by-step explanation:
Hope this helps
Pls help giving brinerlist
The answer is A
difference means to subtract
while product means to multiply!
(i hope this helps!)
Heather has a rectangular yard. She measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide. She wants to know how many square feet of sod she will need to completely cover the yard. a. Draw the yard, and label the measurements. b. How much sod will Heather need to cover the yard? Show your work and/ or explain your reasoning.
Answer:
313.6 sqft.
Step-by-step explanation
Decimal
First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.
Fraction
First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.
Help pleaseee i am awful at math
Step-by-step explanation:
answer is B
use unitary method to solve it
if the length of a square is decreased by 1 unit , the area will be 8 square units.Write an equation for the area of the square
Answer:
(x-1)²=8.
Step-by-step explanation:
1) if the length before decreasing is 'x', then after decreasing it is x-1;
2) then the area is (x-1)²=8.
PS. the length before decreasing is 1+2√2.
I think of a number. I multiply it by 5. I then subtract 19. Finally, I double the resu The final number is 22. What number did think of?
Answer:
8.2 is your answer.
Step-by-step explanation:
first you would add 22 and 19 together to get 41
then you divide by 5 to get your answer 8.2
22+19=41÷5=8.2
I WILL GIVE BRAINLIEST! PLEASE ANSWER CORRECTLY!
4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.
5. Create a graph of the polynomial function you created in Question 4
Answer:
4. equation: f(x)=(x-2)(x-1)
direction: parabola faces up bc a is positive
y-intercept: (0,2)
zeros/x-intercepts: (1,0) & (2,0)
5. graph is attached (i used desmos)
The parabola y=x^2 is scaled vertically by a factor of 8
Answer:
2x8=16 so there for y=x^18
Step-by-step explanation:
This is a map of a remote desert region. the government want to supply power to all villages in this region. edges
represent potential connection routes and existing roads. distances are in miles. the plan is to design an mst
system, where the power lines plug into the hub (the village with the most connections running through it).
which village is the hub?
yanu
ollsed
mai
The village that is the hub in the map will be the village that is the focal point and one with the most connections running through it.
What is a map?Your information is incomplete as the map isn't given. Therefore, an overview will be given. A map simply means a diagrammatic representation of an area.
In this case, the hub in the city will be the central part of the city. It's usually the focal point in an area.
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Find the 11th term of the following geometric sequence 2,6,18,54,…
Answer:
118,098
Step-by-step explanation:
Notice that each term is multiplied by 3, 2 x 3 is 6, 6 x 3 is 18... and so on.
so 54*3 = 162 and keep multiplying your answer by three until you have 11 times
I bought a keychain for $6.75 and a T-shirt that cost X dollars each altogether the items cost $31.50 complete the type diagram
Answer:
24.75
Step-by-step explanation:
keychain=$6.75
t.shirt=X
according to question
X+6.75=31.50
X=24.75
Luke drove 150 miles in 3 hours. at this rate how long will it take him to drive 250 mmiles
Answer: 4 1/2 hours
Step-by-step explanation:
if it takes luke 3 hours to drive 150 miles that means in 6 hours he would have driven 300 miles.
he drives 50 miles per hour
so 250 miles is 4 1/2
What is the word form for 407,219?
A
Four hundred seventy thousand and two hundred ninety
B
Four hundred seventeen thousand, two hundred nineteen
C
Four hundred seven thousand, two hundred nineteen
D
Four hundred seven thousand, two hundred and nineteen
Answer:
C or D Both basically
Step-by-step explanation:I read them
help guys with this question
Answer:
slope: 2
points: (2, 4), (6, 12)slope:
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\rightarrow \sf \dfrac{12-4}{6-2}[/tex]
[tex]\rightarrow \sf \dfrac{8}{4}[/tex]
[tex]\rightarrow 2[/tex]
Help with the equation of a line
Answer:
y = -3x + 5
Step-by-step explanation:
y = mx + c
gradient = -3 = m
y-intercept = 5 = c
Karissa rides her bicycle for 4 hours and is 22 miles from her house. After riding for 8 hours, she is
42 miles away
What is Karissa's average rate during her trip?
__ miles per hour
Answer:
5.5
Step-by-step explanation:
We nned to divide to solve this!!
22/4 = 5.5
She is going 5.5 mph!!
Have an amazing day!!
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pls help me pls I have to turn in tonight and if u answer this can you draw and send it pls
Answer:
see attached
Step-by-step explanation:
(i) F' shown in red = Rotation 180° about point (2, 1)
(ii) F'' show in blue = Reflection of F' in x-axis
solve for x and round if necessary
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sin(37 \degree) = \frac{0.6}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{3}{5} = \frac{0.6}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 5 \times 0.6[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 3 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 1[/tex]
Therefore, the required value of x is 1
Answer:
[tex]\displaystyle 1[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{0,6} = csc\:37 \hookrightarrow 0,6csc\:37 = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]
OR
[tex]\displaystyle \frac{0,6}{x} = sin\:37 \hookrightarrow xsin\:37 = 0,6 \hookrightarrow \frac{0,6}{sin\:37} = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Use a ladder method to write 48 and 180 as a product of their prime factors?
HELP PLS IS OVER DUE AND I WANT TO GET THIS DONE RIGHT NOW!
Answer:
168 hours
Step-by-step explanation:
24 × 7 = 168 hours
So 168 hours in 7 days
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Hi please help me me with this thank you so much
⇒ Area = 18 * 18 = 324 square inches
Question 2: Height of PyramidHeight of Pyramid: distance between the tip of the figure to the base
⇒ Height = 14 inches
Question 3: Volume of PyramidVolume of Pyramid's formula ⇒ 1/3 * (base area) * height
⇒ [tex]\frac{1}{3} * 324 * 14 = 108 * 14 =[/tex] 1512 cubic inches
Hope that helps!
In each diagram shown below, solve for the length of side CD using the information given. Show the trig ratio you use and your algebra to find your final answer. Round all answers to the nearest tenth
Applying the trigonometry ratios, we have:
a. CD = 63.6
b. CD = 33.8
c. CD = 16.1
d. CD = 15.9
What are the Trigonometry Ratios?The trigonometry ratios are used to find a length or angle in any right triangle. They are:
SOH, which is sin ∅ = opp/hypCAH, which is cos ∅ = adj/hypTOA, which is tan ∅ = opp/adja. ∅ = 32°
hyp = 75
adj = CD
Apply CAH:
cos 32 = CD/75
CD = cos 32 × 75
CD = 63.6
b. ∅ = 56°
opp = 28
hyp = CD
Apply SOH:
sin 56 = 28/CD
CD = 28/sin 56
CD = 33.8
c. ∅ = 43°
opp = 15
adj = CD
Apply TOA:
tan 43 = 15/CD
CD = 15/tan 43
CD = 16.1
d. ∅ = 27°
hyp = 35
opp = CD
Apply SOH:
sin 27 = CD/35
CD = sin 27 × 35
CD = 15.9
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Evaluate the expression 3^-2
Answer:
-9 is the answer for 3^-2