The unit prices and quantities for two goods for two years
are shown in the table below. Assume that consumers are
purchasing 8 units of water and 10 loaves of bread. Also
assume that Year 1 is the base year.
Year
Price of Water Price of Bread
(dollars) (dollars)
$1.00
$2.00
1
2
2.00
3.00

a) The best point estimate of the population proportion is 0.587

b) The value of the margin of error is approximately 0.025.

c) The confidence interval is (0.561, 0.612)

d) The correct interpretation of the confidence interval is option D.

a) The best point estimate of the population proportion (p) is calculated by dividing the number of respondents who said "yes" (x) by the total number of respondents (n):

p = x / n = 592 / 1009 ≈ 0.587

Therefore, the best point estimate of the population proportion is approximately 0.587.

b) The margin of error (E) can be found using the z-score associated with the given confidence level. Since the confidence level is 90%, we can refer to the table of z-scores to find the corresponding value.

From the table, the z-score for a 90% confidence level is approximately 1.645.

The margin of error (E) can be calculated using the formula:

E = z * √(p(1 - p) / n)

E = 1.645 * √(0.587 * (1 - 0.587) / 1009) ≈ 0.025

Therefore, the value of the margin of error is approximately 0.025.

c) To construct the confidence interval, we can use the point estimate (p) and the margin of error (E):

Confidence interval = p ± E

Confidence interval = 0.587 ± 0.025

The confidence interval is (0.561, 0.612) when rounded to three decimal places.

d) The correct interpretation of the confidence interval is:

D. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

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Answer:

96

Step-by-step explanation:

to be honest i just looked it up on google

Answer:

<4

Step-by-step explanation:

Congruent angles are the same.

<2 and <4 are vertical angles and vertical angles are the same.

<2 = <4

Answer:

∠4

Step-by-step explanation:

An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.

Congruent angles are the angles that have equal measure.

We may not know the exact measure of angle 2, but we an see that angle 4 is reflecting it, making it congruent (the same size).

Therefore, ∠4 is the correct answer.

The truth table is shown.

A truth table is a table that displays all possible combinations of input values and their matching output values.

The given statement is (p∨¬q)∧(p∧q).

The truth table is:

p            q            ¬q            p∨¬q            p∧q            (p∨¬q)∧(p∧q)

0            0              1                1                   0                      0

0            1               0               0                  0                       0

1             0              1                1                    0                      0

1             1               0               1                    1                        1

Hence, the truth table for the compound statement (p∨¬q)∧(p∧q) is shown.

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Step-by-step explanation:

sorry jesica I don't know the answer

The required answer for the given mathematical operation is 182.5

What are arithmetic operations?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given, 67.4 + 43 + 30 + 42.10

        = 110.4 + 30 + 42.1

        = 140.4 + 42.1

        = 182.5

Hence, the required answer for the given mathematical operation is 182.5

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Answer:

one third of the volume

Step-by-step explanation:

Answer:

2462.4 square inches

Step-by-step explanation:

we know the shorted side of the wall is 36 inches so we divide 2.5 to 36 to see how much bigger the actual wall is to the scale

36/2.5= 14.4

The actual wall is 14.4 times bigger than the scale

14.4 x 4.75= 68.4

68.4 x 36= 2462.4 inches

Answer:

6

Step-by-step explanation:

The rotational symmetry for a hexagon is 6 as it is a regular polygon.

Given:

To find: x and y

Conditions Used:

1.Corresponding angles are equal.

2.Sum of linear pair of straight line is 180 degree.

Explanation:

Therefore, the final answers are:

Answer:

$6290

Step-by-step explanation:

37000 x .17 = 6290

a) The simple average of the unit prices is $10.45.

b) The total number of units purchased during the first six months is 115.898 units.

c) The average cost of the units purchased is $10.35.

d) The value of Neuer's mutual fund holdings on July 31, if the unit price on that date is $11.90, is $1,379.19.

An average refers to the mean of a data set.

The average is computed as the total value divided by the number of values in the data set.

Month    Unit Price     Total  Value    Units

February   $10.00             $200         20.000

March          10.60               200          18.868

April             11.25               200           17.778

May              9.50               200          21.052

June            9.20               200           21.739

July             12.15               200           16.461

Total prices $62.70     $1,200          115.898

Simple Average = $10.45 ($62.70/6)

The average cost of the purchased units = $10.354 ($1,200/115.898)

Thus, the value of Neuer's mutual fund holdings on July 31, if the unit price on that date is $11.90, is $1,379.19 (115.898 x $11.90).

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1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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Answer:

Cos²(45°—A) + cos²(45°+A)

= [2 cos²(45°—A) + 2 cos²(45°+A)] /2

= [{2 cos²(45°—A)—1} + {2 cos²(45°+A)—1} + 2] /2

= [cos2(45°—A)+cos2(45°+A)+2]/2

= [cos(90°—2A)+cos(90°+2A)+2]/2

= (sin2A—sin2A+2)/2

= 2/2

= 1

Answer:

\( z= \frac{0.21- 0.39}{0.0373}= -4.829\)

\( z= \frac{0.32- 0.39}{0.0373}=-1.877\)

And we can find the probability with this difference:

\( P(-4.829<z< -1.877) = P(Z<-1.877) -P(Z<-4.829)=0.0303- 6.86x10^{-7}=0.0303\)

Step-by-step explanation:

For this case we have the following info given:

\( n = 171\) represent the sample size

\(p =0.39\) the proportion of interest

We want to find the following probability:

\( P( 0.21 < \hat p < 0.32)\)

We can use the normal approximation for this case since np >10 and n (1-p) >10

For this case we know that the distribution for the sample proportion is given by:

\(\hat p \sim N( p , \sqrt{\frac{p (1-p)}{n}} )\)

And we can use the following parameters:

\( \mu_{\hat p}= 0.39\)

\( \sigma_{\hat p} =\sqrt{\frac{0.39*(1-0.39)}{171}}= 0.0373\)

And we can apply the z score formula given by:

\( z = \frac{p \\mu_{\hat p}}{\sigma_{\hat p}}\)

And using this formula we got:

\( z= \frac{0.21- 0.39}{0.0373}= -4.829\)

\( z= \frac{0.32- 0.39}{0.0373}=-1.877\)

And we can find the probability with this difference:

\( P(-4.829<z< -1.877) = P(Z<-1.877) -P(Z<-4.829)=0.0303- 6.86x10^{-7}=0.0303\)

For statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

If the slope of the triangles is equal then triangle A is similar to triangle B.

In the statement  when we simplify

(5/3)=(15/9),

(5/3)=(5/3),

Then the reason for this statement is "If the slope of triangles are equal"

And the definition of slope in general is m = y/x.

Therefore, for statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the life long of early humans wasnomadic . why?

19 is the median of the numbers

Rays: BD, AC, CA, AB. Lines:  AC

A line is a straight path of points that has no beginning or end

A ray is a portion of a line which has one endpoint and extends forever in one direction

Let's put the definitions:

Note: the arrow is an indication no endpoint

So we have ray BD (it starts from the dot at B and the arrow shows it extends forever  in the direction of D)

We have ray AC (it starts from the dot at A and the arrow shows it extends forever  in the direction of C)

We also have ray CA (it starts from the dot at C and the arrow shows it extends forever  in the direction of A)

Then ray AB (it starts from the dot at A and the arrow shows it extends forever  in the direction of B)

Then  line AC (it's bounded by 2 arrows, so it has no endpoint)

Therefore, the rays are BD, AC, CA and AB, and the line is AC. So the 1st option is the answer

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Answer:

0.0336

Step-by-step explanation:

the hint says so

According to the result of the test statistic, the approximate p-value for Fay's test is of 0.034.

It depends on the test statistic z, as follows.

In this problem, we are testing if the proportion is greater than a value, hence it is a right-tailed test.

The test statistic is z = 1.83, which has a p-value of 0.966.

1 - 0.966 = 0.034.

Hence, the approximate p-value for Fay's test is of 0.034.

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Answer:

Step-by-step explanation:

7+4= 11

Answer:

7+4=11

Step-by-step explanation:

The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping

Rewriting 125x^ 3 −27 as (5x) ^3 −3³

The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )

Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.

Hence, (5x−3)(25x ^2 +15x+9)

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2,673 minus 281 is 2,392.

2,392 divided by 2 is 1,196.

1,196 plus 281 is 1,477.

Answer: Ricky hit 1,196 and Pedro hit 1,477.

the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

12

Step-by-step explanation:

set them equal to each other and solve for x.

20 = 2x - 4

24= 2x

12 = x

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