Answer:
q1: 80
q2:85
q3:91.5
Work:
- rearrange the numbers from least to greatest
68,78,82,84,86,89,94,100
q1- add 78 and 82, divide by 2
q2: add 84 and 86, divide by 2
q3- add 89 and 94, divide by 2
In a survey of 2266 adults, 736 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( ?, ?).
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A.
With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
B.
The endpoints of the given confidence interval shows that 90% of adults believe in UFOs.
C.
With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
D.
With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, we calculate the sample proportion:
Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324
Next, we need to calculate the margin of error.
Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:
Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)
Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.
Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015
Finally, we can construct the confidence interval:
Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)
Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
Now, let's interpret the results.
The correct answer is:
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.
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Plz help me well mark brainliest if correct.............
Answer:
Yup, 11 is the answer. because 4 -15 is 11.
What is the product?
Answer:
[7 38 9] is the answer
Step-by-step explanation:
Hope this helps I did my calculations and this is the answer
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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A set of twins purchase a small, oddly shaped plot of land for their retirement. They want to divide the parcel along the grid lines into two identical plots. Can they do it and how?
The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.
To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.
For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.
If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.
However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.
To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.
If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.
the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.
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Note the full question may be :
To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.
1) How much interest will you pay on a $43,000 car loan with a fixed APR of 4.9% if the loan is
for 5 years?
With a monthly repayment of $809.49, the total interest on the car loan will be $5,569.67.
How is the total interest computed?We assume that there are monthly repayments and compounding interest on the car loan.
With periodic repayments and compounding interest, the total interest paid on the car loan will be as shown by the car loan calculator.
Car loan = $43,000
Down payment = $0
Fixed Annual Percentage Rate (APR) = 4.9%
Loan term = 5 years
Car Loan Calculator with monthly Repayment:
Payment = $809.49/month
Interest Paid =$5,569.67
Total Paid = $48,569.67
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In order to determine whether or not there is a significant difference between the mean hourly wages paid by two companies (of the same industry), the following data have been accumulated. Company A Company B Sample size 80 60 Sample mean $16.75 $16.25 Population standard deviation $1.00 $.95 The p-value is a. .0084. b. .0042. c. .0026. d. .0013
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The sample size for company A is \(n_1 = 80\)
The sample size for company B is \(n_2 = 60\)
The sample mean for A is \(\= x _1 = \$16.75\)
The sample mean for B is \(\= x _2 = $16.25\)
The population standard deviation for A is \(\sigma_1 = \$1.00\)
The population standard deviation for B is \(\sigma_1 = \$ 0.95\)
The null hypothesis is \(H_o : \mu_1 - \mu_2 = 0\)
The null hypothesis is \(H_o : \mu_1 - \mu_2 \ne 0\)
Generally the test statistics is mathematically represented as
\( z = \frac{ \= x_1 - \= x_2}{ \sqrt{\frac{ \sigma_1^2}{n_1} + \frac{ \sigma_2^2}{n_2} } }\)
=> \(z = \frac{ 16.75 - 16.25}{ \sqrt{\frac{ 1.00^2}{80} + \frac{ 0.95^2}{60} } }\)
=> \(z = 3.01283186 \)
Generally from the normal distribution table the probability of z
\(P(t > z) = 0.0013 \)
Gnerally the p-value is mathematically represented as
\(p-value = 2 * P(z > 3.0 )\)
=> \(p-value = 2 * 0.0013 \)
=> \(p-value = 0.0026 \)
Janice correctly answered 21 of the 24 question. What percent of the questions did she answer correctly?
5 less than 4 times another. product is 6. find the integers
y= 4x-5
x.y = 6
x = 6/y
substitute value
y= 24/y-5
y²+5y-24=0
y²+8y-3y-24=0
y(y+8) -3(y+8) = 0
y=3 or y = -8
consider y = 3,
3 = 4x-5
x= 2!
now y = -8
-8= 4x-5
x= -3/4
The answer is 2 and 3 Or -8 and -3/4
2 is not 5 less 4 times other so the solution is -8 and -3/4
What is the answer to 8-5+10 divided by 5*6 + 2
8-5+10 divided by 5*6 + 2 = 17
Answer:
17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
8 - 5 + 10 ÷ 5 × 6 + 2
Step 2: Evaluate
Division: 8 - 5 + 2 × 6 + 2Multiplication: 8 - 5 + 12 + 2Subtraction: 3 + 12 + 2Addition: 15 + 2Add: 17Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
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Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
$97 = (Original Price) - (35% of Original Price)
$97 = (Original Price) - (0.35 of Original Price)
$97 = (1 - 0.35) of (Original Price)
$97 = (0.65) of (Original Price)
$97 = 0.65 · (Original Price)
Divide each side by 0.65 .
$97/0.65 = Original Price
$149.23 = Original Price
What is the volume of a shipping box that is 3 inches by 12 inches by 18 inches?
Answer:
648 in³
Step-by-step explanation:
The volume of a rectangular prism is the product of its dimensions.
V = LWH
V = (3 in)(12 in)(18 in) = 648 in³
The volume of the box is 648 cubic inches.
Please helllllllllllllllllp meeeee.
Answer:
d ≈ 5.7
Step-by-step explanation:
[Given] d² = 33
[Square root both sides] \(\sqrt{d^{2} }\) = \(\sqrt{33}\)
[Solve for \(\sqrt{33}\) and cancel out the square root + square] d ≈ 5.74456
[Round to nearest tenth] d ≈ 5.7
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I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
what is happening to the graph when the x-valued are between -1 and 1?
Between -1 and 1 x-values, the graph is decreasing.
Therefore, the answer is letter A.
T-Mobile has a family plan of four lines for $120 and additional lines are $10 each per month. If Jason wants to spend at most $175 per month on a cell phone expenses, what is the correct inequality that represents the amount of additional lines he can afford?
Answer:
Jason can afford 5 more additional lines, making 9 lines total because
175-120=55
55/10=5.5 so He can not afford more than 5 more additional lines.
Step-by-step explanation:
What is the value of y
Answer:
B 63 degrees
Step-by-step explanation:
180 - 54 = 126
126 / 2 = 63
Fo quality control purposes, we collect a sample of 300 items and find 36 defective items in it. Construct a 90% confidence interval [a, b] for the proportion of defective items in the whole shipment.
Answer:
(0.089 ; 0.151)
Step-by-step explanation:
Given :
Sample size, n = 300
Number of defective items, x = 36
The confidence interval required here is that for a one sample proportion :
The confidence interval is defined thus :
Phat ± Zcritical * √[Phat(1 - phat) / n]
Zcritical at 90% = 1.645
Phat = x / n = 36 / 300 = 0.12
Hence,
C.I = 0.12 ± 1.645 * √[0.12(1 - 0.12) / 300]
C.I = 0.12 ± (1.645 * 0.0187616)
C.I = 0.12 ± 0.0308629
C.I = (0.089 ; 0.151)
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The graph shows the number of gallons of white paint that were mixed with gallons of green paint in various different ratios:
Draw the graph on a grid. The title is Mixing Paint. The horizontal axis label is Green Paint in gallons. The scale is 0 to 24 in increments of 3. The vertical axis label is White Paint in gallons. The scale is 0 to 72 in increments of 9. Plot points at the ordered pairs 3,9 and 6,18 and 9,27.
The number of gallons of white paint mixed with 1 gallon of green paint is ______.
Answer:
3 gallons
Step-by-step explanation:
For every value of green ( 'x') ....white is 3 times as much
for 1 gallon green ====> 3 gallons white
20 Per Question, Algebra 2, Thanks :)
The answer to the expression is (x+3)/(x-1)
What is a quadratic expression?You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0
The given expressions are
(x² - 3x - 18) / (x²- 7x +6
(x²-6x +3x +19) / (x²-x -6x +6)
This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}
⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]
This means that [(x+3)(x-6)] / [(x-6)(x-1)]
Dividing by (x-6) to have
Therefore the value of the expression is (x+3)/(x-1)
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Consider the following binary operation (denoted *) defined on R. Determine whether or not the binary operation satisfies the following properties: Associative Commutative Identity Inverses Select all properties that the binary operation has. x*y = x+y+k (k E R) (Note: k is some constant) a. None b. Associative c. Inverses d. Commutative e. Identity
Option a. None (The operation doesn't satisfy any of the properties.) is correct.
Explanation:
Rearranging the parenthesis in an expression will not change the outcome since some binary operations have the associative feature. In propositional logic, associativity is a valid rule to replace expressions in logical proofs.
Associative property: (x*y)z = (x+y+k)z = (x+y+k)+z+k = x+(y+z+2k) ≠ x+(y+z+k) = x(yz)
Commutative property: xy = x+y+k ≠ y+x+k = yx
Identity property: There is no element e in R such that ex = xe = x for all x in R.
Inverses property: There is no element y in R such that xy = yx = e for all x in R.
Therefore, option a. None (The operation doesn't satisfy any of the properties.) is correct.
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Find ∠F in DEF if ∠D = 34° and ∠E = 117°
Answer:
29
Step-by-step explanation:
Assuming its a triangle (which equals to 180 degrees)
180 - 34 - 117 = 29
Are corresponding g angels equal
Suppose Dante borrows $7000 at an interest rate of 9% compounded each year assume that no payments are made on the loan
Answer:
then daniel has to pay $7630 dollars
Step-by-step explanation:
In two half-lives, how much of a 400-gram sample of a radioactive element will remain un-decayed?
Answer:
100 grams
Step-by-step explanation:
1/2 * 1/2 = (1/2)² = 1/4
1/4 * 400 = 100
Reggie has 176 pictures of animals. He wants to keep half and then divide the rest equally among four friends. ... How many pictures will each friend get?
Answer:
each friend will get 22
Step-by-step explanation:
so you have 176 you divide that by half and you get 88 so then you divide the other 88 by 4 and you get 22 so Reggie kept 88 and all 4 friends each get 22
Question 4 (Essay Worth 10 points)
(05.06 HC)
Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.
This system of equations models the scenario:
4x+2y = 16
x+y=4
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set.
Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically
Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context.
The graph is the graph of straight lines
The point (2, 3) is not included in the solution area
How to describe the graphFrom the question, we have the following parameters that can be used in our computation:
4x+2y = 16
x+y=4
The equations are linear equations
This means that they are straight linesA different solution is 4 cupcakes and 0 fudgeIs the point (2, 3) included in the solution areaWe have
(x, y) = (2, 3)
This gives
4(2) + 2(3) = 16 -- false
2 + 3 = 4 -- false
Hence, it is not in the solution
Interpret a different solution setWe have
4x+2y = 16
x+y=4
This gives
4x+2y = 16
4x + 4y=16
So, we have
2y = 0
And:
y = 0
This means that
4x + 2(0) = 16
x = 4
So, the solution set is (4, 0)
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The equation C = 0.20x + 50 gives the cost C in dollars for renting a truck and
driving it x miles. This equation is in the form y = mx + b.
Identity the slope and write a sentence to describe the meaning of the slope.
Answer:
0.20 dollars/mile
Step-by-step explanation:
The slope actually has units. It has the meaning of 20 cents per mile. The units are cents per mile.
But it can also be 0.20 dollars/mile which is probably the way you should interpret it in a math class. That way it matches the units of the 50 which is for certain in dollars.
1. Anya is at camp and walks 2km due north and then turns and walks another 3km at a bearing angle of 35° . Find her distance back to camp and the bearing angle from her starting point.
Anya her distance back to camp and the bearing angle from her starting point is 4.78 km North 26.3° West.
Define direction ?
Direction gives the information about the way towards which an object moves or tends.
The angle formed by the 2 km and 3 km is the supplement of the 35 ° angle west of north;
180°- 35° = 145°
We know that the length of two sides and one angle.
The opposite side know angle is the direct distance between the starting and ending points.
Using the law of cosines.
\(a^{2} = b^{2} + c^{2} - 2bc (cosA)\)
\(a^{2} = 2^{2} + 3^{2} - 2(2)(3)(cos 145)\)
\(a^{2} = 4 + 9 - 12 (-0.8192)\)
\(a^{2} = 22.83\)
a = 4.78 km
To determine the bearing from the starting point , we must determine the angle between the first leg and the direct path.
Using the law of sines
\(\frac{4.78}{sin(145)} = \frac{3}{sin C}\) sin(145°)
4.78 sin C = 3 sin 145°
sin C = \(\frac{3 sin (145^ 0)}{4.78}\)
sin C = 0.4438
C = 26.3°
Therefore, the distance and bearing of the end point from the starting point is 4.78 km North 26.3 ° West.
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if f(x) = 2x^2 - x , find f(-3)
A) 15
B) 21
C) 39
Answer:
B
Step-by-step explanation:
Answer: so very sorry
(◞‸◟ㆀ)ˢᵒʳʳʸ
Step-by-step explanation:
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