Consider the equation of a circle x^2-2x+y^2-4y-4. If the line 2x-y+a=0 is its diameter. Then find the value of a.

The TRUE statement is a) Tim sought to promote non-response bias in his survey.

Non-response bias occurs when some of the respondents, especially married women, do not respond to Tim's survey because of the omission of the female names in the mailing addresses.  By failing to include the female names, Tim may cause some women to refuse participation while other females may not be reached.

We cannot conclude that Tim sought to promote participation bias or that he uncovered selection or deliberate bias in his methods.

Thus, we can conclude that Tim sought to promote non-response bias in his survey.

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As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

Four straight sides that are aligned and equal in length make up a rectangle, a two-dimensional geometric object. A rectangles has four right-angled angles (90 degrees). A rectangle can be thought of as a quadrilateral with all angles equal to 90 degrees, or as a trapezoid with two pairs of parallel sides. By multiplying the rectangle's length and breadth, the area of the rectangle may be determined. By summing the measurements of all four sides, one may get a rectangle's perimeter. In many commonplace items like window, book covers, and screens, rectangles are frequently used.

given

According to the information provided, the rectangle's base has a 69 cm width.

We also know that the height is equal to the base by two thirds. As a result, the rectangle's height can be determined as follows:

Height equals 2/3 of base height, or 69 cm.

size = 46 cm

Knowing the rectangle's base and height, we can use the following formula to get its perimeter:

P = 2l + 2w

P = 2(69 cm) + 2(46 cm) (46 cm)

P = 230 cm if P = 138 cm plus 92 cm.

As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

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The complete question is: - In a rectangle the base measures 69 cm and the height is 2/3 of the base. Calculate the perimeter.[230] Please help with a photo

The reasonable estimate would be 25

We have to solve this using the rule of 3

9 out of 30 members said that they run more than 5 days a week.

We will form the equations

when 9 ran = 30 menbers

when n ran = 84 members

we will then cross multiply

84 x 9 = 30 x n

n = 25.2

When we round this, the reasonable estimate would be 25

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Complete question

Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.

There are 84 Freemont Run Club members.

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?

Answer:

x = 10.20240940

Step-by-step explanation:

\(x(2x + 9) = 2x^2 + 9x\)

\(2x^2 + 9x = 300\)

- 300 on both sides

\(2x^2 + 9x - 300 = 0\)

solve using the quadratic formula

\(x = -b +/- \ \text{all root} (b)^2 - 4(a)(c) \ \text{All over} \ 2(a)\)

When all the values are plugged in:

When using "+" in the equation you should get:

x = 10.20240940

When using "-" in the equation you should get:

x = −14.70240940

Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940.

Your answer is: x   =  10.20240940

In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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The two events are independent. This means that the combined probability can be calculated using the formula:

The probability of getting a head on a coin flip is given to be:

while, assuming the number cube has 6 sides, the probability of getting a number greater than five will be:

Therefore, the probability of both events will be:

OPTION A is correct.

Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

Answer:

52

Step-by-step explanation:

10(5) + (4×2)/4

50+ 8/4

50+2

52

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Answer:

1. 6

2. -1

3. 5

4. 2

5. -1

6. 5

7. 6

The 95% confidence interval for this population proportion is (0.10,0.23).

sample size n = 125

number of people planned to take an extended vacation = 21

sample proportion (p) = 21/125 = 0.168

Confidence level = 0.95

significance level (α) = 1-0.95 = 0.05

Z score = Z(0.05) = 1.96, from the Z table.

confidence interval for a population proportion is-

p±Zα/2 *\(\sqrt{\frac{p(1-p)}{n} }\) = 0.168± 1.96\(* \sqrt{\frac{0.168(1-0.168)}{125} }\)

                             = 0.168 ± 1.96*0.334

                             = 0.168 ± 0.0655

                              = (0.1025, 0.2335)

                              = (0.10,0.23)

Hence, the confidence interval is  (0.10,0.23).

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Answer:

95, and 85 degrees

Step-by-step explanation:

x+x+10=180

2x=180-10

2x=170

x=85,

Angles=85, 85+10=95

Answer:

16 boxes

Step-by-step explanation:

16x5=80+150=230>15x16=240

Answer:

True.

Step-by-step explanation:

\(a+4=6\)

\(a=2\)

To see if the equation would be correct given the value of \(a\), we have to substitute:

\(2+4=6\)

\(6=6\)

Since both sides of the equation are equal, the statement is true.

Answer:

hmmm

Step-by-step explanation:

yeah

The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7

We should know that in completing the square method both sides of the equation are made perfect squares.

The given equation is 5x²+20x-7=0

Solving this equation by completing the square method we have

5(x²+4x+4)=-7

This means that (x+2)=±√27/5

Simplifying further we have

5(x²+4x)=7

Then expanding to make ²HS a perfect square we have

5(x²+4x+4)=7+20

This means that 5(x²+4x)=-7

Therefore the step he could use is 5(x²+4x)=-7\

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======================================================

Explanation:

We have five slots to fill, which I'll label A through E.

There are,

Each time we fill up a slot, we count down by 1.

This gives 14*13*12*11*10 = 240,240 different permutations. If order mattered, then this would be the answer.

However, order doesn't matter on a committee without rankings. Each member has the same rank as any other.

Within any group of 5 people, there are 5! = 5*4*3*2*1 = 120 ways to arrange them. This means we divide that 240,240 figure by 120 to find the number of combinations.

There are (240,240)/(120) = 2002 different combinations.

---------------------------------------

Here's how we could have done the problem using the nCr combination formula.

Plug in n = 14 and r = 5.

n C r = (n!)/(r!(n-r)!)

14 C 5 = (14!)/(5!*(14-5)!)

14 C 5 = (14!)/(5!*9!)

14 C 5 = (14*13*12*11*10*9!)/(5!*9!)

14 C 5 = (14*13*12*11*10)/(5!)

14 C 5 = (14*13*12*11*10)/(5*4*3*2*1)

14 C 5 = (240240)/(120)

14 C 5 = 2002

Answer:

B

Step-by-step explanation:

Answer:

a = 76 b = 22 c = 58 d = 68

Step-by-step explanation:

A. 180 - 133 = 47

so you have two angles found, which is 57 and 47. Add them together and subtract from 180. You get 76

B. 68 + 90 = 158

You subtract the 158 from 180 and get 22

C. This took some guess work, but when you multiply 58 by 2 you get 116. When subtracted from 180 you get 64. If you add 58 + 58 + 64, you get 180, so this made sense

D. There's an actual rule in trig that explains this, but I forgot it. If you look at the top angle, the other side of the line added to the 68 is a right angle. So you subtract 68 from 90 and get 12. Because there is already the right angle in the triangle, you just need the other two angles to equal 90, and because of the 68 that we found in the other triangle, this made sense.

Sorry, not the best at explanations. Hope that helped

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 500$

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

The earnings of all five movies were $154,960,863.44.

Step-by-step explanation:

Thats the answer from edmentum

Theoretical Probability of rolling a 2= 1/20

Experimental Probability of rolling a 2 =  1/20

Theoretical probability of rolling a 2:

The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:

Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20

Experimental probability of rolling a 2:

The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the  event is rolling a 2, which occurred 200 times out of 4000 rolls.    

Therefore, the experimental probability of rolling a 2 is:

Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20

Comparing theoretical and experimental probability:

If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.

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Answer:

The answer is number 2

Given statement solution is :-  Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:

Sort the data in ascending order:

12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20

Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:

Median = 15

Find the lower quartile (Q1), which is the median of the lower half of the data set.

Counting from the start, the lower half of the data set is:

12, 12, 13, 14, 14

Q1 = 13

Find the upper quartile (Q3), which is the median of the upper half of the data set.

Counting from the end, the upper half of the data set is:

17, 18, 20

Q3 = 18

Find the minimum and maximum values in the data set:

Minimum = 12

Maximum = 20

Now that we have the necessary values, we can construct the box-and-whisker plot:

lua

Copy code

       |                 |

 12  |      -------------|    

 13  |                 |

 14  |              ----  

 15  |           -------

 16  |      -------------|    

 17  |                 |

 18  |              ----  

 20  |                 |

       |_________________|

In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

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Answer:

the answer is 5 I think I hope