910 randomly sampled registered voters from Tampa, FL were asked if they thought workers who have illegally entered the US should be (i) allowed to keep their jobs and apply for US citizenship, (ii) allowed to keep their jobs as temporary guest workers but not allowed to apply for US citizenship, or (iii) lose their jobs and have to leave the country. The results of the survey by political ideology are shown below. Political ideology Conservative Mod Liberal Total rate 120 113 126 101 28 45 278 262 350 20 910 57 121 179 citi (ii) Guest worker (iii Leave the country Response (iv) Not sure 37 (a) What percent of these Tampa, FL voters identify themselves as conservatives? (b) What percent of these Tampa, FL voters are in favor of the citizenship option? (c) What percent of these Tampa, FL voters identify themselves as conservatives and are in favor of the citizenship option? (d) What percent of these Tampa, FL voters who identify themselves as conservatives are also in favor of the citizenship option? What percent of moderates share this view? What percent of liberals share this view? (e) Do political ideology and views on immigration appear to be independent? Explain your reasoning

Answer:

StPart 1) The expression is  

Part 2) The area of the schoolyard when x=40 m is A=2,800 m^2

Part 3) The domain is all real numbers greater than zero and less than 75 meters

Step-by-step explanation:

Part 1) Write an expression for A(x)

Let

x -----> the length of the rectangular schoolyard

y ---> the width of the rectangular schoolyard

we know that

The perimeter of the fencing (using the wall of the school for one side) is

so

-----> equation A

The area of the rectangular schoolyard is

---> equation B

substitute equation A in equation B

Convert to function notation

Part 2) What is the area of the schoolyard when x=40?

For x=40 m

substitute in the expression of Part 1) and solve for A

Part 3) What is a reasonable domain for A(x) in this context

we know that

A represent the area of the rectangular schoolyard

x represent the length of of the rectangular schoolyard

we have

This is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the length for the maximum area

The y-coordinate of the vertex represent the maximum area

The vertex is the point (37.5, 2812.5)

using a graphing tool, see the attached figure

therefore

The maximum area is 2,812.5 m^2

The x-intercepts are x=0 m and x=75 m

The domain for A is the interval -----> (0, 75)

All real numbers greater than zero and less than 75 meters

ep-by-step explanation:

The z-score is approximately 96.51. None of the given options match the calculated z-score.

The z-score can be calculated using the formula z = (x - μ) / σ, where x is the observed value, μ is the population mean, and σ is the population standard deviation.

In this problem, we are given that in the population, 10% of people have blue eye color. This means that the population proportion of people with blue eyes is 0.10 (or 10%).

Lane observed a sample of 35 people and found that 5 of them had blue eyes. We want to calculate the z-score to determine how many standard deviations away Lane's observation is from the expected population proportion.

First, we need to calculate the population standard deviation (σ) using the population proportion (p) and the sample size (n). Since the population standard deviation is the square root of the population variance, we can use the formula:

σ = √(p * (1 - p) / n)

In this case, p = 0.10 and n = 35, so we can substitute these values into the formula:

σ = √(0.10 * (1 - 0.10) / 35)

≈ √(0.09 / 35)

≈ √0.00257

≈ 0.0507

Now, we can calculate the z-score using the observed value (x), which is 5, the population mean (μ), which is the same as the population proportion (p), and the population standard deviation (σ):

z = (x - μ) / σ

= (5 - 0.10) / 0.0507

= 4.90 / 0.0507

≈ 96.51

Therefore, the z-score is approximately 96.51.

It seems that the provided options for the z-score are not accurate. None of the given options match the calculated z-score.

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Answer:

Length = x^2 = 0.835^2 = 0.698 m = 69.8cm

Breadth = x = 0.835 m = 83.5cm

Step-by-step explanation:

Given;

Length of the rectangular plot l = x^2 m

Breadth b = x m

Area A = 5832 cm^2 = 0.5832 m^2

(They should be converted to the same units before solving: length in metres and area in square metres)

The area of a rectangular plot can be calculated using the formula;

Area = length × breadth

A = l × b

Substituting the values of l and b;

A = x^2 × x

A = x^3

Substituting the value of A;

0.5832 = x^3

solving for x;

x = (0.5832)^(1/3)

x = 0.835 m

Length = x^2 = 0.835^2 = 0.698 m = 69.8cm

Breadth = x = 0.835 m = 83.5cm

The information gain going from state (a) to state (b) is approximately 1.03503 bits.

Information gain is calculated by subtracting the entropy of state (b) from the entropy of state (a). It measures the reduction in uncertainty or randomness when transitioning from one state to another.

To calculate the entropy, we need to determine the probabilities of each outcome. (a) The event of getting a total greater than 10 in one throw There are a total of 36 possible outcomes when throwing two dice.

Out of these, there are three outcomes where the total is greater than 10: (5, 6), (6, 5), and (6, 6). Each outcome has a probability of 1/36. Therefore, the probability of the event is 3/36 = 1/12.

To calculate the entropy, we can use the formula: Entropy = -p * log2(p) - q * log2(q) - ...

In this case, we have only one outcome (total greater than 10), so the entropy is: Entropy = - (1/12) * log2(1/12) ≈ 3.58496 bits

(b) The event of getting a total equal to 6 in one throw:

To calculate the entropy, we need to determine the probabilities of each outcome that sums up to 6. There are five outcomes that satisfy this condition: (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1). Each outcome has a probability of 1/36. Therefore, the probability of the event is 5/36.

Entropy = - (5/36) * log2(5/36) ≈ 2.54993 bits

To calculate the information gain, we subtract the entropy of state (b) from the entropy of state (a):

Information Gain = Entropy(a) - Entropy(b)

Information Gain ≈ 3.58496 - 2.54993 ≈ 1.03503 bits

Therefore, the information gain going from state (a) to state (b) is approximately 1.03503 bits.

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Answer:

2.19g+0.59b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find 3 ratios that are equivalent to the given ratio. 5/15

1 : 5                     (0.2)

3/15                     (0.2)

4 : 20                  (0.2)

Answer:

x = 6

ABC = 24

BCA = 66

Step-by-step explanation:

Complementary angles equal 90°

4x + 11x = 90

Add 4x and 11x

15x = 90

Divide by 15

x = 6

Replace x with 6

4 · 6 = 24

11 · 6 = 66

Check:

24 + 66 = 90

I hope this helps!!!

Answer:

120

Step-by-step explanation:

The 95% confidence interval for the difference in average graduation times between the private and public schools is approximately

(-0.9439, -0.0561) years.

This means that we can be 95% confident that the true difference in average graduation times falls within this interval. The calculation takes into account the sample means (4.5 years for the private school and 5 years for the public school), the sample standard deviations (1 year for the private school and 2 years for the public school), and the sample sizes (100 students for both schools). The critical value for a 95% confidence level and 99 degrees of freedom is approximately 1.984. By applying the formula for the confidence interval, we obtain the range of values for the difference in average graduation times.

The 95% confidence interval for the difference in average graduation times between the private and public schools is (-0.9439, -0.0561) years, indicating that, This interval provides a reliable estimate of the true difference in graduation times and can help in understanding the educational disparities between private and public schools.

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Answer:

D.  4.5 sec

Step-by-step explanation:

Once the rock is on the ground it has no height (h=0)    

h = -16t² + 320

0 = -16t² + 320

16t² = 320

t² = 20

t² = 20

t = √20

t= √4x5

t = 2√5

around 4.5 seconds

Answer:

it would be 3

Step-by-step explanation:

because when you do 5×3=15 then +12= which gives you 27 and then do 3×3=8 then +18=which also gives you 27.

Answer:

Elena needs to sell 60 tickets

Answer:

Elena must sell 90 tickets to earn $900

Step-by-step explanation:

Divide the total money needed by how much each ticket costs:

900 ÷ 10 = 90

If you're talking about how many more tickets are needed:

Subtract the total tickets needed by how many tickets Elena already sold

90 - 30 = 60 more tickets needed

I hope this helped!

Answer:

One solution

Step-by-step explanation:

The amount of time spent on each project is 5.583 hours.

The number of consulting projects that need to be finished is 3. The total amount of time that Matilda has to finish all the projects is 16.75 hours. It is given that Matilda plans to spend the same amount of time on each project. Let the time taken to complete each project be "t". We can form an equation as given below :

3*t = 16.75

t = 16.75/3

t = 5.583

The complete question is :

Matilda has 16 3/4 hours to finish three consulting projects. How much time may she spend on each project if she plans to spend the same amount of time on each?

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Answer:

Step-by-step explanation:

To solve this, we need to isolate the variable.

Hence, the value of the variable is -12.

Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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0.5x + 6 = 4x - 1

3.5x = 7

x = 2

Only one solution exists for the given equation.

Answer:

one

Step-by-step explanation

For a polynomial function, the number of solutions, or zeros, is generally equivalent to the highest degree. For example, a cubic function (e.g. \(x^3+2x^2\)) has 3 real zeros (x=-2, x=0, and x=0) and a quadratic (e.g. \(x^2-1\)) has 2 real zeros (x=-1 and x=1).

For your problem, \(\frac{1}{2} (x+12)=4x-1\), the highest degree is 1 since this is a linear function. To prove there is only one solution, let's bring all the terms to one side, simplify, and solve for x.

There only one solution to the equation as shown above and as can be seen in step 4, the x is only to the first degree (\(x=x^1\)) which indicates that there is only one solution, 2.

Answer:

$100

Step-by-step explanation:

100 bills in each bag

$100 in 10 bags

Given:
1. The hyperbola is centered at the origin (0,0).
2. The transverse axis length is 10.
3. One of the foci is at (6,0).

To find the standard form equation, we first need to determine the values of "a" and "c".

Step 1: Find "a" value
Since the transverse axis length is 10, we can find "a" by dividing the transverse axis length by 2:
a = 10 / 2 = 5

Step 2: Find "c" value
The "c" value is the distance from the center to a focus. Since one of the foci is at (6,0) and the center is at (0,0), we have:
c = 6

Step 3: Find "b" value
We will use the relationship between a, b, and c for a hyperbola: c^2 = a^2 + b^2
Solving for "b":
b^2 = c^2 - a^2
b^2 = 6^2 - 5^2
b^2 = 36 - 25
b^2 = 11

Step 4: Write the standard form equation
Since the foci are on the x-axis, the hyperbola is horizontal. Therefore, the standard form equation is:
(x^2 / a^2) - (y^2 / b^2) = 1

Plugging in the values for a and b:
(x^2 / 5^2) - (y^2 / 11) = 1
(x^2 / 25) - (y^2 / 11) = 1

So, the standard form equation of the hyperbola is (x^2 / 25) - (y^2 / 11) = 1.

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Answer:

The surface area of the new cone is 240π inches² ⇒ answer D

Step-by-step explanation:

If the two cones are similar, then:

1. t1/t2=l1/l2=constant ratio

2. S.A1/S.A2=(R1/R2)^2

3. V1/V2=(R1/R2)3

The surface area of a right circular cone is 15π inches²

 The cone is enlarged by multiplying both the radius of the base  and the slant height by 4

 The two cons are similar

R1/R2=1/4

 The surface area of a right circular cone is 15π inches²

S.A1/S.A2=(R1/R2)^2

SO

15π/S.A2=(1/4)^2

15π/S.A2=1/16

By using cross multiplication:

15πX16=S.A2X1

240π=S.A2

The surface area of the enlarged cone = 240π inches²

The surface area of the new cone is 240π inches²

HOPE THAT HELPS!!

Answer:

sometimes true

Step-by-step explanation:

Given, two straight lines intersect each other in such a way that one of the angles formed measure 90°.

We know that, lines which intersect to form a right angle are known as perpendicular lines

In the above figure , AB is perpendicular to CD

Considering ∠AOC=90°

Now,

∠AOC+∠AOD=180°     [Linear pair]

90°+∠AOD=180°

∠AOD=90°

Similarly,

∠AOC+∠BOC=180° and ∠BOD+∠AOD=180°   [Both making linear pair]

So, we get ∠BOC=90° and ∠BOD=90°

Hence, ∠AOC=∠AOD=∠BOC=∠BOD=90°

The measurement that is closest to the number of kilometers between these two towns is 392 kilometers.

To determine the distance in kilometers between Mesquite and Houston which is closest to the actual number of kilometers, we can use the following conversion factor;

Approximately 8 kilometers in 5 miles

That is;

1 mile = 8/5 kilometers

And the distance between Mesquite and Houston is 245 miles.

Thus, we can calculate the distance in kilometers as;

245 miles = 245 × (8/5) kilometers

245 miles = 392 kilometers (correct to the nearest whole number)

Therefore, the measurement that is closest to the number of kilometers between these two towns is 392 kilometers.

This is obtained by multiplying 245 miles by the conversion factor 8/5 (approximated to 1.6) in order to obtain kilometers.

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we have

15!12!(4−1)!

15!12!(3!)=3,758,268,687,305,932,800,000

therefore

the answer is

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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(a) The interpret the p-value in context of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower.

(b) The conclusion would make if a 0.05 is rejected because the p-value (0.0016) is less than the significance level.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01.

(a) The p-value of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower, assuming that the true population mean is 12 g/dl (or higher), is only 0.0016. This suggests that the observed difference between the sample mean and the hypothesized population mean is statistically significant and unlikely to be due to chance alone.

(b) If using a significance level of 0.05, the null hypothesis (that the true population mean is 12 g/dl or higher) would be rejected because the p-value (0.0016) is less than the significance level. Therefore, it can be concluded that the sample provides evidence that the true population mean hemoglobin level is lower than 12 g/dl.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01. In this case, the evidence is even stronger, and the conclusion that the true population mean is lower than 12 g/dl would be even more robust.

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Answer:

Jeff

Step-by-step explanation:

Answer:

Jeff had the greatest ratio

Step-by-step explanation:

First you would find the common denominator, which is 60.

Jeff - 40/60

Brad - 36/60

Zackary - 30/60

Jeff has the highest ratio and Zackary has the lowest.

Answer: 1.5 or 6/4 = 1 1/2

Step-by-step explanation: If you know that 3/4 of a bottle of soap was used for half of the day, then you just add another 3/4 and your answer will be how much soap they used up in one full day.

The required, in one full day, visitors would use up 3/2 bottles of soap.

Rate of change is defined as the change in value with rest to the time is called rate of change.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
In 1/2 of a day, visitors used up 3/4 of a bottle of soap, so in 1 day they would use 3/4 × 2 = 3/2 bottles of soap.

Therefore, in one full day, visitors would use up 3/2 bottles of soap.

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When a scientific team uses special equipment to measures the pressure under water and finds it to be 159 pounds per square foot, the depth is around 70 feet.

It's important to note that pressure increases as depth increases under water. The pressure in pounds per square foot, P, at a depth of d feet is given by the equation:

P = 0.433d + 14.7 where 0.433 is a constant for water, and 14.7 is the pressure at the surface.

In order to find the depth at which the pressure is 159 pounds per square foot, we need to solve the equation for

d.P = 0.433d + 14.7

Substitute P = 159 and solve for

d.159 = 0.433d + 14.7

Subtract 14.7 from both sides.

144.3 = 0.433d

Divide both sides by 0.433 to isolate d.

d ≈ 333.06

Hence, when a scientific team uses special equipment to measures the pressure under water and finds it to be 159 pounds per square foot, the depth is around 70 feet.

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