A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 75,342 households in the city that the median family income is $65,000, with an average of 2.9 persons-per-household, and 88% live in a single household unit. Previously, the planner had surveyed a group of 400 randomly selected households in the city. The surveyed households had a median family income of $52,000, an average of 3.2 persons per household, and 80% lived in a single household unit. 2
(a) For city planner's survey, identify the population and the sample,
Population: (Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey,
Number Parameter Statistic
The 80% of the group of randomly selected households that live in a single household unit
The average of 2.9 personer household of all the households in the city The $65,000 median family income of all the households in the city At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 600 TV's assembled in March.

Answer:

pass the code

Step-by-step explanation:

a) The number alive after 7 years is given as follows: 48.

b) The percentage of herd that dies each year is of 10%.

The exponential function in the context of this problem is defined as follows:

N(t)=100(0.9)^t.

The parameters of the function are defined as follows:

The amount of herd alive after 7 years is found with the numeric value at t = 7, replacing the lone instance of t in the function by 7, hence:

N(7) = 100 x (0.9)^7 = 48.

(rounding to the nearest whole number).

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

16 teachers.

Step-by-step explanation:

84 / 21 = 4

4 * 4 = 16

Hope this helped. Please give brainly if its the best!

Answer:

\( \huge \colorbox{blue}{16 students}\)

Step-by-step explanation:

we are given the ratio of students and teachers:

\( \displaystyle \: \frac{21}{4} \)

which means if the number of students is 21 then the number of teachers should be 4

to find how many teachers should go if students 84 we have to divide 84 by \(21/4\) :

\( \displaystyle \: 84 \div \frac{21}{4} \)

simplify division:

\( = \displaystyle \: 84 \times \frac{4}{21} \)

simplify multiplication:

\( = \displaystyle \: \cancel{ 84} \: ^{4} \times \frac{4}{ \cancel{21}} \\ = 4 \times 4 \\ = 16 \)

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Regression analysis will indicate about the underlying population and the model.

It is one of the most used and most powerful multivariate statistical techniques for it infers the existence and form of a functional relationship in a population. Once you learn how to use regression, you will be able to estimate the parameters { the slope and intercept } of the function that links two or more variables. With that estimated function, we  will be able to infer or forecast things like unit costs, interest rates, or sales over a wide range of conditions.

Though the simplest regression techniques seem limited in their applications, statisticians have developed a number of variations on regression that greatly expand the usefulness of the technique. And again, the t-distribution and F-distribution will be used to test hypotheses.

To learn more about Regression analysis

https://brainly.com/question/3297603

#SPJ4

Answer:

y=6

Step-by-step explanation:

x=3 is parallel to the y axis so the perpendicular line will be parallel to the x axis and will equals y=6 so it will pass through the point which have a y coordinate of 6

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

For more such questions on coordinates

https://brainly.com/question/29660530

#SPJ8

Answer:

C+3

Step-by-step explanation:

Answer: C. y = 0.75x - 3

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

Slope = -9 - (- 3) /  -8 - 0 = -9 + 3/ -8 - 0 = -6/-8 = 0.75

Y-intercept = -3

y = 0.75x + (- 3)

y = 0.75x - 3

Hope that helped!

Answer:

Step-by-step explanation:

Determine the two consecutive multiples of 10 that bracket 551

551 is between 550 and 560

555 is the midpoint between 550 and 560

As illustrated on the number line, 551 is less than the midpoint (555)

Therefore, 551 rounded to the nearest ten = 550

551 rounded to the nearest ten with a number line

Answer: 551.36

Step-by-step explanation:

“Of” means you have to multiply so multiply 133.5 and 413 and you will get 55,135.5 then you move the decimal point to the right 2 times and that will be 551.355, then since there is a five you change the other five to a 6 (5 or more raise the score 4 or less let it rest) and that will be 551.36.

Answer:

The probability is 0.58992 or simply 0.59

Step-by-step explanation:

We start by getting the z-scores of the diameter

we have this as follows;

Mathematically;

z-score = (x-mean)/SD

mean = 9.0 mm

SD = 1.5 mm

For 8.00 mm, we have

z = (8-9)/1.5 = -0.67

For 10.5 mm, we have

z = (10.5-9)/1.5 = 1

So the probability we want to calculate is;

P( 1 < x < -0.67)

we can calculate this using the standard normal distribution table

We have this as ;

P( x < -0.67) - P( x > 1) = 0.58992

Answer:

c

Step-by-step explanation:

your welcome! :) ❤❤❤❤❤❤❤❤❤❤❤❤

The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

A = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

For more such questions on annuity,click on

https://brainly.com/question/25792915

#SPJ8

Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.

From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

Know more about variable here:

https://brainly.com/question/28248724

#SPJ8

Answer:

can i have a photo, please?

Step-by-step explanation:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

For more questions on prime number

https://brainly.com/question/145452

#SPJ8

Answer:

because there is an exact square number such as:4,9

Answer:

✓2=1.41421

✓5=2.23607

✓8=2.82842

✓11=3.31662

✓14=3.74166

Step-by-step explanation:

Therefore the numbers are increasing by three so they cant be perfect square

Quantitative variables for this study include Neck Size, Weight, Length, and Bear. the correct option is a. Neck Size, b. Weight, d. Length, e. Bear.

In statistics, quantitative variables are those that are measured numerically. As a result, they're also referred to as numeric variables.

Because it is not feasible to weigh a bear in the woods, researchers caught and measured 54 bears, recording their weight, neck size, length, and sex.

They were looking for a way to use other, more quickly determined variables to estimate weight.

The following are quantitative variables for this study:

Neck Size Weight Length Bear

Thus, the correct option is a. Neck Size, b. Weight, d. Length, e. Bear.

for such more question on Quantitative variables

https://brainly.com/question/14037311

#SPJ11

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

The Pythagorean Theorem. This theorem is a fundamental concept in mathematics, and it states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

\(a² + b² = c²\)

where a and b are the lengths of the legs of the triangle, and c is the length of the hypotenuse.
To help you develop different strategies for teaching this topic, we will be referring to the packet from the William and Mary School of Education. The strategies listed in the packet include:
Using concrete materials such as square tiles to physically demonstrate the concept of the Pythagorean Theorem.
Using visual aids such as diagrams and graphs to help students visualize the theorem and its applications.
Encouraging students to work collaboratively and engage in problem-solving activities to deepen their understanding of the theorem.
By incorporating these different strategies into your teaching, you can help your students better understand the Pythagorean Theorem and its significance in mathematics and real-world applications.

for such more questions on Pythagorean Theorem

https://brainly.com/question/343682

#SPJ11

Answer:

0.017578 or 1.76%

Step-by-step explanation:

The probability of getting at least 12 heads is 0.01757.

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1-  p), depending on the outcome's boolean value.

Given a coin is tossed 15 times,

to find the probability of getting 12 heads,

P(X ≥ 12)  Probability of at least 12 successes

At least 12 successes include X-values of

X=12, 13, 14, 15

To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,

P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

p(x) = ⁿCₓpˣqⁿ⁻ˣ

n = 15

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ +  ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴

                      +  ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵

P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045  + .0000030

      P(X ≥ 12) = 0.01757

Hence probability is  0.01757.

Learn more about Binomial Distribution;

https://brainly.com/question/14565246

#SPJ6

Therefore, the bones were 6612.5 years old at the time they were discovered.

Given that the radioactive element​ carbon-14 has a​ half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5​% of their​ carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:

Therefore, the bones were 6612.5 years old at the time they were discovered.

Learn more about half life in https://brainly.com/question/24710827

#SPJ1

Answer:Therefore, the bones were 6612.5 years old at the time they were discovered.

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

An integer is a whole number that can be positive, negative, or zero, without any fractional or decimal parts.

The given expressions for three consecutive integers are:

Give that twice the first number is 20 more than the second:

\(2x = (x + 1) + 20\)

Solve this equation for x:

\(\begin{aligned}2x &= (x + 1) + 20\\2x&=x+1+20\\2x&=x+21\\2x-x&=x+21-x\\x&=21\end{aligned}\)

The expression for the largest integer is (x + 2).

Therefore, to find the largest number, substitute the found value of x into this expression:

\(\begin{aligned}\sf Largest\;number&=(x+2)\\&=21+2\\&=23\end{aligned}\)

Therefore, the largest number is 23.

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

Learn more about biconditional statement from

https://brainly.com/question/8663998

#SPJ1

Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer:

a. unbounded

e. x ≤ 9

Step-by-step explanation:

The interval means all real numbers less than or equal to 9.

Since all numbers to negative infinity are included, it is unbounded.

a. unbounded

e. x ≤ 9

A sketch looks like a number line with a solid dot at 9 and an line pointing left with an arrowhead at the left pointing left.

Answer:

b. unbounded

e. x ≤ 9

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

A bounded interval is an interval that includes both its endpoints.

For the interval (-∞, 9]:

Therefore, the given interval is unbounded.

Inequality notation

Therefore, the given interval is represented by the inequality x ≤ 9.

To sketch the graph on a number line:

To sketch the graph on a coordinate plane:

If an equilateral triangle has a perimeter of 24 feet. the area of the circle is approximately 50.27 square feet.

Since the perimeter of the equilateral triangle is 24 feet, each side has a length of 8 feet (since all three sides are equal).

The diameter of the circle is equal to the length of one side of the equilateral triangle, which is 8 feet. Therefore, the radius of the circle is half the diameter, which is 4 feet.

The area of a circle is given by the formula:

A = πr^2

where A is the area and r is the radius.

Plugging in the value of the radius, we get:

A = π(4 feet)^2

A = 16π square feet

A ≈ 50.27 square feet (rounded to two decimal places)

Therefore, the area of the circle is approximately 50.27 square feet.

Learn more about area here:https://brainly.com/question/25292087

#SPJ1

Answer:

B

Step-by-step explanation:

Bbbbb bbbbbbbbbbb