Suppose that 65\ee, percent of the 310{,}000310,000310, comma, 000 citizens in a county are registered to vote. A not-for-profit organization takes an SRS of 100100100 of these citizens and finds that 67\gg, percent of those sampled are registered to vote. The organization plans on taking repeated samples like this. What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are registered to vote

The regression equation is Y = −12.201 + 2.195x.

In the given question,

A regression analysis shows the following results.

                                    Coefficients       Standard Error       t-Stat      p-value

Intercept                        −12.201                     6.560            −1.860       0.100

Number of contacts         2.195                      0.176             12.505      0.000

We have to find the regression equation.

Given that,

Coefficient of Intercept(a) = −12.201

Coefficient of Number of contacts(b) = 2.195

The regression equation is,

Y = a + bx

Y = −12.201 + 2.195x

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The right question is:

A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results.

                                    Coefficients       Standard Error       t-Stat      p-value

Intercept                        −12.201                     6.560            −1.860       0.100

Number of contacts         2.195                      0.176             12.505      0.000

What is the regression equation?

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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To be parallel it needs the same slope which is 8x. Now just replace the + 10 with the given y intercept.

Answer y = 8x -5

Answer:

y = 8x -5

Step-by-step explanation:

41 is the answer

Step-by-step explanation: i don't know how to explain it this is so easy for me

Answer: 41

Step-by-step explanation:

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

From the question, we have the following function definition that can be used in our computation:

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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Answer:

third one m=6 and n=-4/3

Answer:

m=-3/8 n=12

Since n is a whole number, the only whole number value for n in the possible answers is 12

The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Answer:

Step-by-step explanation:

The sign of r depends on the sign of the estimated slope coefficient b1:

If b1 is negative, then r takes a negative sign.

If b1 is positive, then r takes a positive sign.

That is, the estimated slope and the correlation coefficient r always share the same sign. Furthermore, because r2 is always a number between 0 and 1, the correlation coefficient r is always a number between -1 and 1.

One advantage of r is that it is unitless, allowing researchers to make sense of correlation coefficients calculated on different data sets with different units. The "unitless-ness" of the measure can be seen from an alternative formula for r, namely:

r=∑ni=1(xi−x¯)(yi−y¯)∑ni=1(xi−x¯)2∑ni=1(yi−y¯)2−−−−−−−−−−−−−−−−−−−−−−−√

If x is the height of an individual measured in inches and y is the weight of the individual measured in pounds, then the units for the numerator is inches × pounds. Similarly, the units for the denominator is inches × pounds. Because they are the same, the units in the numerator and denominator cancel each other out, yielding a "unitless" measure.

Another formula for r that you might see in the regression literature is one that illustrates how the correlation coefficient r is a function of the estimated slope coefficient b1:

r=∑ni=1(xi−x¯)2−−−−−−−−−−−−√∑ni=1(yi−y¯)2−−−−−−−−−−−√×b1

Answer:

333234

Step-by-step explanation:

333234$ for the next 4 years and the ecvation is 69$+-2$

The height of the tree after 6 years can be expressed as "3 feet + 6f feet."

The correct answer is A. 3f + 6 feet.

To determine the current height of the tree in terms of "f,"

let's analyze the given information.

We know that the tree was initially 3 feet tall when it was planted 6 years ago.

Since the tree grows every year, we can assume that its growth rate is consistent.

Let's denote the current height of the tree as "h" (in feet).

After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").

Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."

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The inequality that best represents the depth, d, in meters, that is permitted for a scuba diver who is advised not to exceed 220 kPa of underwater pressure is option C i.e. 101 + 10.1d > 220 kPa.

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

The total underwater pressure a scuba diver experiences is given by the sum of the atmospheric pressure (101 kPa) and the hydrostatic pressure (101 kPa for every 10 meters of depth) at the diver's depth, which can be represented as:

\(\rm P = 101 + (101/10)d\)

where d is the depth in meters, and P is the underwater pressure in kPa.

Thus, The inequality that best represents the depth, d, in meters, that is permitted for a scuba diver who is advised not to exceed 220 kPa of underwater pressure is option C i.e. 101 + 10.1d > 220 kPa

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Complete question:

4

Step-by-step explanation:

the answer it this question is four (4))

Answer:

4

Step-by-step explanation:

Take out the factors of

28- 1, 2, 4, 7, 14, 28

48- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

here we can see 4 is the GCF

No, 42,497,365 is not divisible by 6.

Hope it helps you! :)

\(GraceRosalia\)

An actual two-by-two table is a tabular representation containing two rows and two columns.

Mathematically, the set-up of the two-by-two table for this data can be computed as:

Tested                  True Positive for cancer   True Negative    Total

Predicted Positive         800                            3200                 4000

Predicted Negative        100                            95900              96000

Total                                900                            99100              100000  

The prevalence rate of prostate cancer in this population is:

\(\mathbf{ =\dfrac{900}{100000}}\)

\(\mathbf{ =\dfrac{9}{1000}}\)

= 9 per thousand.

The calculation of the sensitivity of this screening is as follows:

\(\mathbf{=\dfrac{TP}{TP+PN_1}}\)

where;

∴

\(\mathbf{=\dfrac{800}{800+100}}\)

= 0.889

= 88.9%

The interpretation shows that 88.9% are correctly identified to be actual positive for prostate cancer.

The calculation of the specificity  of this screening is as follows:

\(\mathbf{=\dfrac{PN_2}{PN_2+TN}}\)

where;

∴

\(\mathbf{=\dfrac{95900}{95900+3200}}\)

= 0.9677

= 96.77%

The interpretation shows that 96.7% of an actual negative is correctly identified as such.

The positive predicted value of the screening test is computed as:

\(\mathbf{= \dfrac{TP}{TP + TN}}\)

\(\mathbf{= \dfrac{800}{800 + 3200}}\)

= 0.2

= 20%

The interpretation of the positive predicted value of this screening shows that 20% that are subjected to the diagnosis of positive prostate cancer truly have the disease.

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Let's simplify the following expression:

We get,

The answer is -144

Answer:

9.60πcm²

Step-by-step explanation:

Area of circular disk, A = πr²

Differntiate A with respect to r

dA/dr = π * (2r^(2-1)) /(2-1) + C

dA/dr = π * 2r/1

dA/dr = 2πr

dA = 2πr * dr

dA = 2πrdr

dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm

dA = 2π * 24 * 0.2

dA = 9.60πcm²

Answer:

8 L

Step-by-step explanation:

If x is the volume of 90% alcohol, then:

(0.90)(x) + (0)(2) = 0.72(x + 2)

0.90x = 0.72x + 1.44

0.18x = 1.44

x = 8

The value of y is 48

y= kx

let's solve for k which is the constant

y= 8 , x= 4

k= 8/4

k= 2

Next is to calculate the value of y when x is 24

y = 2 × 24

y= 48

Hence the value of y is 48

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The rate at which a particular animal grows is proportional to the difference between its adult height and current height. As the animal grows, the difference between the adult height and current height decreases. T

Therefore the rate of growth decreases. This is because, as the animal grows, it reaches a point where it cannot grow any taller and the rate of growth slows down. In other words, the rate of growth is proportional to the difference between the adult's height and current height. the rate of growth is also related to the age of the animal.

Younger animals tend to grow faster than older animals because their adult height is still far away, so the difference between their current height and adult height is greater.As the animal gets older and closer to its adult height, the rate of growth decreases.

furthermore, the rate of growth is also affected by the animal's diet and overall health. If the animal is malnourished or unhealthy, then its rate of growth will be slower than if it had a healthy diet and lifestyle. In conclusion, the rate of growth of  a particular animal is proportional to the difference between its adult height and current height

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Reaction rate and reaction time are inversely proportional to each other.

Reaction rate and reaction time are two intertwined concepts. Reaction rate refers to how quickly or slowly a reaction occurs while reaction rate refers to the time taken for a particular reaction to occur.

If the reaction rate increases, the reaction time decreases, if the reaction rate decreases, the reaction time increases hence the both quantities are inversely proportional to each other.

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Using corresponding and alternating angle theorem. The values of the angles in the figure are m∠1 = 47, m∠2 = 133, m∠3 = 139, m∠4 = 41, m∠5 = 139 degrees respectively.

The corresponding angle postulate states that the corresponding angles are congruent if the transversal intersects two parallel lines. In other words, if a transversal intersects two parallel lines, the corresponding angles will be always equal.

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

a. m∠1 = m∠7

Reason : Corresponding angles are equal

m∠1 = 47°

b. m∠2 = 180 - m∠1

Reason: Angles on a straight line

m∠2 = 180 - 47

m∠2 = 133°

c. m∠3 = m∠16

Reason : alternating angles are equal

m∠ = 139°

d. m∠4 = 180 - m∠3

Reason : Angles on a straight line

m∠4 = 41°

e. m∠5 = 180 - m∠4

Reason: Angles on a straight line

m∠5 = 139°

n. m∠17 = 180 - m∠6

m∠17 = 41°

f. m∠ 6 = m∠15

m∠15 = m∠17

Reason : Opposite angles are equal

m∠ 6 = m∠ 17

Reason : Alternating angles are equal

m∠ 6 = 41°

g. m∠8 = m∠1

m∠ 8 = 47°

h. m∠ 9 = m∠2

m∠9 = 133°

m. m∠15 = m∠ 17

m ∠ 15 = 41°

o. m∠ 18 = 360 - (m∠15 + m∠16  m∠ 17)

m∠18 = 360 - (41 + 139 + 41)

m∠18 = 139°

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The purchase, without taxes, had a cost of $60.

The sale taxes are 7%

To determine how much is the purchase with taxes, the first step is to determine how much is the 7% of $60. To do so, you have to multiply 60 by 7 and divide it by 100

The 7% corresponds to $4.2

Next, you have to add the tax money to the original price to determine the cost of the purchase including taxes:

The total purchase including taxes is $64.2

Statements that can be considered as examples of negative correlation are: A. number of hours worked and free time, COr the speed of a train and the length of time to reach the destination, and E. a tadpole's age and the length of it's tail .

Negative correlation refers to the relationship between two facts in which while one fact increases the other decreases.

According to the above, we can take the following statements as an examples:

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Answer: A, B, C

Step-by-step explanation:

Step-by-step explanation:

t^3

Hope this helps :)

Good luck

Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

Oliver's number is bigger than that of Chen.

It is a number equal to 10 times 10.

Given is that Oliver and Chen both write down a number. Oliver says, my number has 8 hundreds and Chen's number only has 3 hundreds, my number must be bigger.

Oliver number can be written as follows -

8 x 10 x 10

Chens number can be written as follows -

3 x 10 x 10

It can be concluded that Oliver's number is bigger than that of Chen.

Therefore, Oliver's number is bigger than that of Chen.

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For given sample space, the point estimate for the proportion of all employees who are female is 0.25 or 25% and for the average age of all employees is 32.5 years.

What exactly is a sample space?

In probability , a sample space is the set of all possible outcomes of a random event.

For example, if we toss a coin, the sample space consists of two possible outcomes: heads or tails. If we roll a six-sided die, the sample space consists of six possible outcomes: 1, 2, 3, 4, 5, or 6.

Now,

(a) The point estimate for the average age of all employees can be calculated by finding the mean

Mean = (21 + 38 + 24 + 43 + 51 + 52 + 23 + 22)/8 = 32.5

Therefore, the point estimate for the average age of all employees is 32.5 years.

(b) The point estimate for the standard deviation of the population can be calculated using the sample standard deviation formula:

s = √[ Σ(X - x)² / (n - 1) ]

where x is the sample mean, n is the sample size, and Σ is the sum of the squared differences between each sample value and the sample mean.

Plugging in the values from the sample, we get:

s = √[ (21 - 32.5)² + (38 - 32.5)² + (24 - 32.5)² + (43 - 32.5)² + (51 - 32.5)²+ (52 - 32.5)² + (23 - 32.5)² + (22 - 32.5)² / (8 - 1) ]

s = √[ 687.5 / 7 ]

s = 9.26 (rounded to two decimal places)

Therefore, the point estimate for the standard deviation of the population is 9.26 years.

(c) To find a point estimate for the proportion of all employees who are female, we count the number of females in the sample (which is 2) and divide by the sample size:

Proportion of females = 2/8 = 0.25

Therefore, the point estimate for the proportion of all employees who are female is 0.25 or 25%.

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Answer:

$32,648

Step-by-step explanation:

1-  find 12% of 37,100         ( 37,100x12= 445,200  445,200/100= $4452)

2-  37,100- 4452= $32,648

(im not sure if its correct

This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

What are functions ?

In mathematics, a function is a rule that maps each element in a set (the domain) to a unique element in another set (the range). It is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are commonly represented using function notation, where the symbol "f" is used to represent the function, and the input value is placed inside parentheses. For example, if the function takes the input "x" and returns the output "y"

According to the question:
To prove algebraically that g(x) = f(x), we need to show that the expressions for g(x) and f(x) are equivalent for all values of x. That is, we need to show that:

2x²+3x-1 = x²-3

We can start by simplifying both sides of the equation:

2x²+3x-1 - (x²-3) = 0

Simplifying the left side, we get:

2x²+3x-1 - x²+3 = x²+3x+2

Now we can simplify the right side:

x²+3x+2 = (x+1)(x+2)

Substituting this expression back into the equation, we get:

2x²+3x-1 - x²+3 = (x+1)(x+2)

Simplifying the left side again, we get:

x²+3x-4 = (x+1)(x-4)

Now we have:

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

We can cancel out the factor of (x+1) from both sides, since it is not equal to zero for any value of x:

x-4 = x+2

Subtracting x from both sides, we get:

-4 = 2

This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

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