1. A fair six-sided die is rolled. Find the probability of getting a 4.

For the proportion of all hometowners in the united states that hold a home equity loan, confidence interval is (0.0992, 0.1508).

We have given that in a recent poll of 1000 homeowners in the United states, one in eight homeowners reports havinf a home equity loan that he or she is curently paying off.

If one in eight reports having a home equity loan then for 1000 hometowners = 1000/8 = 125.

Sample proportion p = 125/1000 = 0.125

given that confidence coefficient = 0.99

α = 1 - confidence coefficient = 1 - 0.99

α = 0.01    

z₀.₀₁ / 2 = 2.58

Therefore the interval estimate for the proportion of all homeowners in the United states that hold a home equity

                        = p ± z₀.₀₁/2 √p(1-p)/n

                        = 0.125 ± 2.58 √0.125(0.875)/1000

                        = 0.125 ± 2.58 √0.0001

                        = 0.125 ± 0.0258

                        = (0.125 - 0.0258,0.125 + 0.0258)

                        = (0.0992, 0.1508)

Hence (0.0992, 0.1508) is the confidence interval.

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Answer:  1.6 N/cm^2

Step-by-step explanation:

Answer:

1.2nm

Step-by-step explanation:

Answer:

Octagon regular.

Step-by-step explanation:

This shape has 8 sides to it is an octagon. A octagon irregular doesn't have equal sides while this one does. The best way to tell is if it looks like a stop sign which are octagon regular.

Answer:

-5z - 6

Step-by-step explanation:

- 1/4 (20z + 24)  

-5z - 6

Answer:

here

Step-by-step explanation:

Answer:

12.56 feet cubed

Step-by-step explanation:

Diameter of 8= radius of 4

4 x 3.14=12.56

12.56x3=37.68

37.68/3=12.56

Answer: D+<B=180

x+24+x+10=180sum of opposite angle of quadrilateral is 180

2x=180-34

x=146/2=73

again

<A+<C=180sum of opposite angle of quadrilateral is 180

x+15+<C=180

73+15+<C=180

<C=180-88=92° is your answer

Answer:

B. List all the factors of 40

Step-by-step explanation:

I GOT THE ANSWER RIGHT

Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

A=2(1+\(\sqrt{2}\))a^2=2·(1+\(\sqrt{2}\))·20^2≈1931.37085cm²

The amount of the loan is $11000 (this is also called the principal)

the loan is for 5 years (so time is 5), and the annual interest reat is 6% (which in math form becomes: 0.06.

So, we use the formula for the Total value of the loan (also known as ACCRUED value), which is the following exponential function:

Here we replace: P (principal) with 11000

r with 0.06 (annual interest rate)

and t with 5 (number of years), and we get:

Therefore the total to be paid for the loan is $14720.48. Now, in order to find the amount to be paid per month during the 5 years of the loan, we reacall that there are 12 months in a year, therefore we are going to have 5 * 12 = 60 monthly loan payments to complete the total loan amount. Then each loan payment per month will be:

$14720.48 / 60 = $245.34

Answer:

11

Step-by-step explanation:

Substituting the values of x, y, and z into the expression, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.

Answer:

11

Step-by-step explanation:

if x = 2, y = 3, and z = 4.

2x²-y + 2(z-1)

Substituting the given values of x, y, and z, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.

BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

The price of 10 brings the greatest revenue or it is the price at which revenue is maximized.

The revenue is a function of Price multiplied by quantity. The revenue equation for the Hercules films is:

Revenue = Price * Quantity sold

Revenue = p * (220000 - 11000p)

Revenue = 220000p - 11000p²

We need to calculate the price at which revenue is maximized and as price changes, the quantity and revenue are changing. Thus we need to find the derivative of this equation to calculate the value of p.

d/dp = 1 * 220000p° - 2 * 11000p

Where p° = 1

0 = 220000 - 22000p

22000p = 220000

p = 220000 / 22000

p = 10

Thus p = 10 or price is 10 when revenue is mazimized.

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The value of the median is 25 from the dot plot because the middle value is 25 on the dot plot,

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have a dot plot shown in the picture.

As we can see in the dot plot there are a total of 9 dots.

4 dots left side and 4 dots right side.

One dot is left which is pointing to the value 25 at the number line.

Thus, the value of the median is 25 from the dot plot because the middle value is 25 on the dot plot,

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Answer:

1,944

Step-by-step explanation:

72x27=1,944

Have a wonderful day or night

Answer

1944

Step-by-step explanation:

72*27 = 1944

the image above should clarify how you're actually supposed to do it! couldn't submit this without 20 characters :,)

When s is -5 and t is 2, the expression s²t - t evaluates to 48.

We have,

To evaluate the expression s²t - t for s = -5 and t = 2, we substitute these values into the expression.

First, we replace s with -5 and t with 2:

(-5)² x 2 - 2

Squaring -5 gives us 25, so we can rewrite the expression as:

25 x 2 - 2

Multiplying 25 by 2 gives us 50:

50 - 2

Finally, we subtract 2 from 50:

48

Therefore,

When s is -5 and t is 2, the expression s²t - t evaluates to 48.

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Therefore , the solution of the given problem of function comes out to be pattern can be used to determine additional y values for various R values.

The topics covered in the midterm exam will include design, geometry, numbers, each division, and both actual and hypothetical geographic places. The relationships between different elements that cooperate to generate the same outcome are explained in a work. A utility is composed of numerous unique expression that work together to produce unique results with each input.

Here,
A linear function with R as the independent variable and y as the dependent variable is represented by the equation y = 1/2R + 1.

The relationship between y and half of R plus 1 is described by the function. This implies that y will fluctuate in a predictable manner as R rises or falls.

To obtain the equivalent value of y, we can substitute R into the equation, for instance, if it equals 4:

=>  y = 1/2(4) + 1

=> y = 2 + 1

=> y = 3

Hence, y is equal to 3 when R is equal to 4. This pattern can be used to determine additional y values for various R values.

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The value of the sine of the angle is 9/13 in the supplied value. Choice A

This relationship is based on the reciprocal interaction between the sine (sin) and cosecant (cosec) functions. The cosecant of an angle is the reciprocal of the sine of that angle.

The cosecant of an angle is its reciprocal, which is the sine of that angle. Because of this, if the sine of an angle is zero, its cosecant cannot be divided by zero and is hence undefinable.

We know that;

cosec(θ) = 1/sin(θ)

Then

sin(θ) = 1/(13/9)

= 9/13

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Answer:

2  −  4 6

Step-by-step explanation:

Answer:

2x - 46

Step-by-step explanation:

4 ( 2x - 11 ) + 2 ( - 3x - 1 )

= 4 ( 2x - 11 ) + 2 ( - 3x - 1 )

= 4 ( 2x ) + 4 ( - 11 ) + 2 ( - 3x ) + 2 ( - 1 )

= 8x - 44 - 6x - 2

= 8x - 6x - 44 - 4

= 2x - 46

Complete Question

How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?

Exercise 9.53

A. A random sample of 200 voters in a town is selected, and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.

B. What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?

Answer:

The First question

                    \( n = 1879  \)

A

    The 96% confidence interval is  

                      \(0.51 <  p <  0.63 \)

B

   The possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57 is  

           \(E =    0.06 \)

Step-by-step explanation:

From the question we are told that

    The margin of error is  \(E = 0.02\)

     The sample size is  n =  200

     The number that supported the annexation suit is  k = 114

Considering the first question

Generally our sample in Exercise 9.53 is  \(\^ p = 0.57\)

From the question we are told the confidence level is  96% , hence the level of significance is    

      \(\alpha = (100 - 96 ) \%\)

=>   \(\alpha = 0.04\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.751 \)

Generally the sample size is mathematically represented as  

    \(n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) \)

=>  \(n = [\frac{1.751}{0.02 } ]^2 * \^ p (1 - \^ p ) \)

=>  \(n = [\frac{1.751}{0.02 } ]^2 * 0.57  (1 -0.57  ) \)

=>  \( n = 1879  \)

Considering question B

Generally the margin of error is mathematically represented as  

     \(E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)

=>  \(E =    1.751 * \sqrt{\frac{ 0.57  (1- 0.57 )}{200} } \)

=>  \(E =    0.06 \)

Considering question A

Generally the sample proportion of the number that supported the annexation suit is mathematically represented as

        \(\^ p = \frac{114}{200}\)

=>      \(\^ p = 0.57\)

Generally 96% confidence interval is mathematically represented as  

      \(\^ p -E <  p <  \^ p +E\)

=>  \(0.57  - 0.06 <  p <  0.57  + 0.06 \)

=>  \(0.51 <  p <  0.63 \)

Using simple mathematical operations we can conclude that Adriel will earn $2,10,000 after 29 years working at the job.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

The steps that we can memorize using PEMDAS include parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right), and so on.

So, we know that:

Adriel will earn $65,000 this year.

She will get a raise of $5,000 each year.

Then, her salary after 29 years would be:

= (5000 * 29) + 65,000

= 1,45,000 + 65,000

= $2,10,000

Therefore, using simple mathematical operations we can conclude that Adriel will earn $2,10,000 after 29 years working at the job.

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Answer:

your paying for each day 56.66

Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

The width of the rectangle is 13 cm and the dimension is 26 cm x 13 cm

Given data ,

Let the length be L and width be W

Now , the width is 1/2 of the length, so we can write:

W = (1/2)L

The area of a rectangle is given by the formula:

Area = Length x Width

Given that the area is 338 square centimeters, we can write:

338 = L × W

Substituting W with (1/2)L, we have:

338 = L × (1/2)L

To solve this equation, we can multiply both sides by 2 to eliminate the fraction:

676 = L²

Taking the square root of both sides, we find:

L = √676

L = 26

So the length of the rectangle is 26 centimeters.

Substituting this value back into the equation for the width, we have:

W = (1/2)L

W = (1/2)(26)

W = 13

Hence , the dimensions of the rectangle are length = 26 centimeters and width = 13 centimeters

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Triangles are shown to be congruent by the statement that "Angles are congruent by vertical angles."

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Given two triangles, Where the base of these triangles are same

And also given that the two angles are the same.

Since,

Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common vertex (which is the point of intersection).

Thus, the third angle is also equal

From AAS:

AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent

Therefore. "Angles are congruent by vertical angles" is used to show the triangles are congruent by AAS,

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The rule of (x, y) → (-x, y), which is reflection over y-axis.

Given that, ΔABC maps to triangle ΔA'B'C'.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

The coordinate points of ΔABC are A(-4, 3), B(-3, -3) and C(1, 2) and the coordinate points of ΔA'B'C' are A'(4, 3), B'(3, -3) and C'(-1, 2).

Here, A(-4, 3) → A'(4, 3), x-coordinate is negated and y-coordinate remains same.

Similarly, B(-3, -3) → B'(3, -3) and C(1, 2) → C'(-1, 2) follows the same pattern.

From this, it is clear that the coordinates of triangle ABC is reflected on y-axis.

Therefore, the rule of (x, y) → (-x, y), which is reflection over y-axis.

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Answer:

£395.

Step-by-step explanation:

Call out fee=35

30 per hour = 2 hour to be =60

but,12 minutes in hours= 12/60= 0.2

0.2 = 0.2*30 = 6

2 hours and 12 minutes would be charge as

30 + 6 = 36

36*10 = 360

call out fee + per hour = 35 + 360 + 395