In 2002, the mean age of an inmate on death row was 40.7 years, according to data from the U.S. Department of Justice. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 38.9, with a standard deviation of 9.6. Construct a 95% confidence interval about the mean age. What does the interval imply?

The transformation of the equation [y = 4 - 1/2 √x + 3] is shown on the graph where the curve touched the x-axis on (61, 0).

To develop a graph is to make a diagram that depicts the relationship between two or more objects.

Make a sequence of bars on graph paper as an example of a graph.

Bar graphs, circle graphs, and line graphs are the three most often used types of graphs.

Different types of data can be displayed using different types of graphs.

So, plotting the equation on the graph as follows:

The equation: y = 4 - 1/2 √x + 3

Plot the equation on the graph:

(Refer to the graph attached below)

The curve touches the x-axis on the coordinate (61, 0).

Therefore, the transformation of the equation [y = 4 - 1/2 √x + 3] is shown on the graph where the curve touched the x-axis on (61, 0).

Know more about the graph here:

https://brainly.com/question/28953186

#SPJ1

so, he spend $42

nb: multiple by (-1) to be positive

99^2= 99*99

99

x 99

--------

891 (Multiplying 99 by 9)

891 (Multiplying 99 by 9 and leaving a space on the right)

--------

9801 (Adding)

The answer is 9801.

Answer:

               y-coordinate

Step-by-step explanation:

Ordinated pair means coordinates of some point in coordinate system. The first always is x-coordinate and the second is y-coordinate.

(7,12)  means 7 is x-coordinate and 12 is y-coordinate

Answer:

1.-profit

2.-$300

3.-25%

Step-by-step explanation:

1.- 1500-1200=300+

2.-(1)

3.-1200/100= 12

300/12= 25

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

To know more about annual interest rate,

https://brainly.com/question/33696451

#SPJ11

Answer:

A is the correct answer!

Good luck on your test!

Answer: a

Step-by-step explanation:

The three reasons why animals migrate are to find a better climate, to access better food sources, and to avoid danger or predators.

Migration is a common behavior among animals that helps them to survive and thrive. Some animals migrate to find a better climate, which may provide more favorable conditions for breeding and raising young or for finding food. Other animals migrate to access better food sources, such as grasslands or waterways that are only available during certain seasons. Finally, some animals migrate to avoid danger or predators, such as by moving to higher elevations or to areas where they are less likely to be hunted. The musk ox, for example, migrates to find better food sources in the winter and to avoid insects and predators in the summer. Overall, migration is a complex behavior that can have many different purposes depending on the species and its environment.

Learn more about food sources here

https://brainly.com/question/29439533

#SPJ11

Answer:

35 degrees

Step-by-step explanation:

True. The Empirical Rule, also known as the 68-95-99.7 Rule, assumes that the distribution of data follows a normal curve, which is symmetrical and bell-shaped.

The Empirical Rule is a useful tool for understanding the spread of data in a normal distribution. A normal distribution is a symmetrical, bell-shaped distribution that is characterized by its mean, median, and mode. The mean is the average of all the data, the median is the middle value, and the mode is the most frequently occurring value.

According to the Empirical Rule, approximately 68% of the data falls within one standard deviation of the mean. This means that if you have a normal distribution, and you know the mean and standard deviation, you can estimate that 68% of the data will be within one standard deviation above and below the mean. For example, if the mean of a distribution is 100 and the standard deviation is 10, then 68% of the data will be between 90 and 110.

It's important to note that the Empirical Rule is only applicable to data that follows a normal distribution. In other words, if your data is not normally distributed, the Empirical Rule may not provide an accurate representation of the spread of your data.

Learn more about The Empirical Rule here: https://brainly.com/question/10093236

#SPJ4

Answer:

7.5

Step-by-step explanation:

cross multiply

30=4x

7.5=x

The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

About expected value here:

https://brainly.com/question/29574962

#SPJ11

Answer: -0=

Step-by-step explanation:

Answer:

-0=

Step-by-step explanation:

z2and z3 are uncorrelated with the error u1 are known as are known as exclusion restrictions

What is Exclusion Restrictions?

Most undergraduate econometric curricula cover the use of instrumental variables as a typical method for determining a variable's causal relationship to another variable. The fundamental tenet of the approach is that it can be applied in circumstances when a source of exogenous variation in X cannot be identified. Instead, a third variable called the instrument, Z, is utilized, where Z only influences Y by acting through X.

When estimating outcomes using instrumental variables (IV) or exogenous variables, which are used in many fields of research, including statistics and economics, researchers rely on proper exclusion limits.

the assumptions that z2 and z3 do not appear in the model

Hence z2and z3 are uncorrelated with the error u1 are known as are known as exclusion restrictions.

Learn more about Exclusion Restrictions, by the following link.

https://brainly.com/question/18440923

#SPJ4

Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal.

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make.

To determine which box holds more cereal, we need to calculate the volume of each box.

The volume of a rectangular box is given by the formula:

Volume = Length × Width × Height

Let's calculate the volumes for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Volume = 8 cm × 3 cm × 11 cm = 264 cm³

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Volume = 10 cm × 10 cm × 3 cm = 300 cm³

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal because it has a larger volume of 300 cm³ compared to the original box with a volume of 264 cm³.

To determine which box requires more material to make, we need to calculate the surface area of each box.

The surface area of a rectangular box is given by the formula:

Surface Area = 2 × (Length × Width + Length × Height + Width × Height)

Let's calculate the surface areas for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Surface Area = 2 × (8 cm × 3 cm + 8 cm × 11 cm + 3 cm × 11 cm) = 374 cm²

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Surface Area = 2 × (10 cm × 10 cm + 10 cm × 3 cm + 10 cm × 3 cm) = 380 cm²

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make because it has a larger surface area of 380 cm² compared to the original box with a surface area of 374 cm².

For similar question on rectangular box.

https://brainly.com/question/29198652

#SPJ11

Answer: $6.65

Step-by-step explanation:

The price of the shirt in the department store = wholesale price + 90% of wholesale price

= 3.50 + (3.50*90)/100

= 3.50 + 3.15

= 6.65

Therefore, the price of the shirt is $6.65

The 4 properties of the rhombus are:

A quadrilateral in Euclidean geometry is a rhombus. It's a parallelogram with all sides equal and diagonals intersecting at 90 degrees. In addition, opposing sides are parallel, and opposing angles are equal. This is a fundamental property of the rhombus. A rhombus is shaped like a diamond. As a result, it's also known as a diamond.

To know more about Rhombus visit the link

https://brainly.com/question/27870968

#SPJ4

Test scores: n = 75, = 46.1, σ = 5.8; 98% confidence, then the correct option is: => (44.5 < μ < 47.7).

given that n = 75 , x = 46.1 , σ = 5.8

98% confidence for z is 2.33

confidence interval formula

=> x +/- z *s/sqrt(n)

=> 46.1 +/- 2.33 * 5.8/sqrt(75)

=> (44.5 < μ < 47.7)

The confidence interval is the amount of conviction you possess about a sample set of information falling inside a scope of values. These values support the confidence level and address the probability of a greater population meeting similar results as your statistical discoveries for the sample. To work out the confidence interval, utilize the accompanying formula:

Confidence interval (CI) = ‾X ± Z(S ÷ √n)

In the formula, ‾X addresses the sample mean, Z addresses the Z-esteem you get from the typical standard circulation, S is the population standard deviation and n addresses the sample size you're surveying.

to know more about standard deviation click here:

https://brainly.com/question/475676

#SPJ1

The proportion of scores in a standard Normal Distribution that are greater than 1.25 is closest to a. a is 0.1056.

The proportion of scores in a standard Normal Distribution that are greater than 1.25 is:

\(P(Z > 1.25) = 1 - P(Z < 1.25)\)

Using a standard normal distribution table or a calculator.

The area to the left of 1.25 is 0.8944, so:

\(P(Z > 1.25) = 1 - P(Z < 1.25) = 1 - 0.8944 = 0.1056\)

The closest answer choice is (a) 0.1056.

The percentage of scores in a normal distribution with a standard deviation larger than 1.25 is:

either a calculator or a normal distribution standard table.

0.8944 is the region to the left of 1.25, so:

The nearest possible response is (a) 0.1056.

For similar questions on Scores

https://brainly.com/question/28000192

#SPJ11

Answer:

Step-by-step explanation:

\(\sf 6m + 2 < 5m-4\)

➠Subtract 2 from both sides:

\(\sf 6m+2-2<5m-4-2\)

➠ Simplify:

\(\sf 6m<5m-6\)

➠ Now, Subtract 5m from both sides:

\(\sf 6m-5m<5m-6-5m\)

\(\sf m<-6\)

______________________________________

Answer:

75 m

Step-by-step explanation:

Let the length of the pole to be : x m

1/5 of x is inside the mud, this will be : 1/5 x

2/3 of x in inside water , this will be : 2/3 x

10 m remaining is above the water surface. Finding the fraction that remains will follow;

x - {1/5 x + 2/3x } = 10

x-13/15 x =10

2/15 x = 10

x= 75 m

With the help of given table of data of travelling time to work for 50 people, the estimated mean travelling time is 24.8 minutes.

To estimate the mean travelling time from the given frequency table, we can use the midpoint method, where we calculate the midpoint of each class interval and multiply it by the frequency of that interval. We then sum up the products and divide by the total frequency to get the estimate of the mean travelling time. The midpoint of each interval can be calculated as the average of the lower and upper bounds of the interval. Using this method, we get:

Class interval 0 < t < 10 | 10 < t < 20 |  20 < t < 30 | 30 < t < 40 |  40 < t < 50

Midpoint (m)    5                     15               25                 35                  45

Frequency (f)    5                    15               13                  10                   7

Midpoint x Frequency 25      225            325               350               315

Total | | 50 | 1240

To estimate the mean travelling time, we can now calculate the sum of the products of the midpoint and frequency for each interval, which is 1240. We then divide this by the total frequency, which is 50. Therefore, the estimate of the mean travelling time for these 50 people is: Mean  travelling time = Sum of (midpoint x frequency) / Total frequency

Mean travelling time = 1240 / 50 = 24.8

Thus, the estimated mean travelling time is 24.8 minutes.

To learn more about class interval click here

brainly.com/question/28183595

#SPJ4

Complete Question

The table shows the travelling time to work of 50 people.

-Travelling time (t)  in minutes- -Frequency-

0 <t<10                                           5

10 < t < 20                                     15  

20 < t < 30                                    13

30 < t < 40                                    10

40 < t < 50                                    7

Calculate an estimate of the mean travelling time

The required general solution of the differential equation in implicit form y = \([(3/2) * (15x + C) * x^{-3}]^{-3/2}\).

The differential equation is a nonlinear equation and cannot be solved exactly by standard methods. One way to approach a solution is to try to find a substitution that transforms the equation into a separable form, where the variables can be separated and integrated separately. A common approach is to make the substitution y = v^(-2/3), which transforms the equation into:

3x^2 * (2/3) * v^(-5/3) * v' + 6x * v^(-2/3) = 15 * v^(-5/3)

Dividing both sides by v^(-5/3), we get:

3x^2 * (2/3) * v' + 6x * 3 * (2/3) * v^(1/3) = 15

This is now a separable differential equation, and we can integrate both sides to find the general solution:

∫(3x^2 * (2/3) * v' dx) = ∫(15 dx) + C

(2/3) * x^3 * v = 15x + C

v = (3/2) * (15x + C) * x^(-3)

Finally, substituting back for y = v^(-2/3), we get the general solution:

y = \([(3/2) * (15x + C) * x^{-3}]^{-3/2}\)

This is the general solution of the differential equation in implicit form. To find an explicit form, one could solve for C using initial or boundary conditions.

To know more about differential equation visit:

brainly.com/question/14620493

#SPJ4

Answer:

7 miles

Step-by-step explanation:

Let's call the distance from point C to point D as "x".

We know that the distance from A to B is 8 miles, and the distance from A to D is 4 miles. To ensure that all three towers are equidistant from each other, the distance from C to B must be equal to 8 miles.

Using the Pythagorean Theorem, we can find the distance from C to D:

(x)^2 + (4)^2 = (8)^2

Expanding and simplifying the equation:

x^2 + 16 = 64

x^2 = 48

x = sqrt(48) = 6.928

So the distance from the third tower to point D is approximately 6.9 miles (rounded to the nearest tenth of a mile).

Answer:

6.9 miles

Step-by-step explanation:

Since the distance between points A and B is 8 miles, and point C is equidistant from points A and B, triangle ABC is an equilateral triangle with side lengths of 8 miles.

As point D is 4 miles from point A, point D is the midpoint of AB.

Therefore, the distance between point C and point D is the altitude of the triangle.

The formula for the altitude of an equilateral triangle is:

\(h=\dfrac{\sqrt{3}}{2}s\)

where s is the the side length.

Therefore, the altitude of an equilateral triangle with side length 8 miles is:

\(\implies h=\dfrac{\sqrt{3}}{2} \cdot 8\)

\(\implies h=4\sqrt{3}\)

\(\implies h=6.9\; \sf miles\;(nearest\;tenth)\)

Therefore, the distance from the third tower C to point D is 6.9 miles to the nearest tenth of a mile.

The method of documentation that describes the setting up of squares of known dimension over the entire pattern is known as grid method.

Grid method is a method of documentation that involves the setting up of squares of known dimensions over the entire pattern to document a site. This method is commonly used in archaeological surveys and historical preservation.

Therefore, grid method is a simple and effective way of recording data, and it is still widely used in the field of archaeology today.

To know more about grid method refer here:

https://brainly.com/question/12992243

#SPJ11

The concept of simplifying a Boolean expression involves reducing the expression to its most concise form by applying logical rules and simplification techniques. This helps in reducing complexity, improving readability, and optimizing logic circuits by eliminating redundant terms and literals.

The simplified expression consists of two terms with a total of 5 literals.

To simplify the expression:

xyz + xyz' + x'yz' + x'y'z

We can apply Boolean algebra rules to simplify the terms:

Combine terms with common literals:

xyz + xyz' = xy(z + z') = xy

Combine terms with common literals:

x'yz' + x'y'z = x'z(y + y') = x'z

Now we have simplified the expression to:

xy + x'z

To know more about Boolean algebra refer to-

https://brainly.com/question/31647098

#SPJ11

By congruent complement theorem ∠4 is congruent to ∠1.

According to the given question.

Angle 4 and angle 5 are complements and angle1 and angle 5 are complements.

Now, according to congruent complements theorem

"If two angles are complementary to the same angle, then these angles are congruent to each other."

Since, it is given that ∠4 and ∠5 are the complements and ∠1 and ∠5 are compliments.

⇒ ∠1 and ∠4 are complimentary to the same angle ∠5.

Therefore, by congruent complement theorem ∠4 is congruent to ∠1.

Thus option 1 is correct.

Find out more information about congruent complement theorem here:

https://brainly.com/question/4273518

#SPJ4

Answer:

1 Inch

(Sorry for this, there wasn't enough letters in my answer)