1. use circle c to determine whether the statement is true or false. diameter ed (bar on top of ed) is perpendicular to diameter fg (bar on top of fg). ef = cg , true or false?

Answer:

1/2 OR 0.5

Step-by-step explanation:

(*￣3￣)╭

Answer:

1/2

Step-by-step explanation:

Answer:

180/45 = 4/1, he did 4 situps in 1 second.

Answer:

4 situps

Step-by-step explanation:

180 divided by 45s = 4 situps

s = seconds

According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

At one classroom for economics and another for other topics, they dumped 122 stamped envelopes with addresses and $20 bills inside each.

Let the money returned = R

economics classes = E

other classes = O

a). The following gives the probability statement for the overall percentage of the money returned: 100.P (R)

b). The probability statement that the percentage of money recovered from economics classes is 100.P(R|E)

c). The probability statement that displays the percentage of money returned from the other classes is 100.P(R|O).

d). No, because P(R) is not equal to P(R|E), the money returned is not independent of the classes.

e).  According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

The complete question is:

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 122 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 42% were returned overall. From the economics class 51% of the envelopes were returned. From the other class 36% were returned.

From

the business, psychology, and history classes 31% were returned.

Let: R = money returned; E = economics classes; O = other classes

a. Write a probability statement for the overall percent of money returned.

b. Write a probability statement for the percent of money returned out of the economics classes.

c. Write a probability statement for the percent of money returned out of the other classes.

d. Is money being returned independent of the class? Justify your answer numerically and explain it.

e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

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The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

Let's assign symbols to represent the statements in the argument:

P: The boss snaps at you.

Q: You make a mistake.

R: The boss is irritable.

The argument can be symbolically represented as follows:

[(P ∧ Q) → R] ∧ ¬P → ¬R

To determine the validity of the argument, we can construct a truth table:

P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R

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

T | T | T |      T      |  F |  F |          T          |

T | T | F |      F      |  F |  T |          T          |

T | F | T |      T      |  F |  F |          T          |

T | F | F |      F      |  F |  T |          T          |

F | T | T |      T      |  T |  F |          F          |

F | T | F |      T      |  T |  T |          T          |

F | F | T |      T      |  T |  F |          F          |

F | F | F |      T      |  T |  T |          T          |

The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.

Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

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The equation of the line in standard form is y = -2x + 12

What is standard equation?

The slope of the line passing through (2, −4) and (−2, 4) is

m = (y₂ - y₁)/ (x₂ - x₁)

= (4 - (-4)) / (-2 - 2)

= 8 / -4

= -2

Let the equation of the line in slope-intercept form be y = mx+c

y = -2x + c

The point (2,4) will satisfy the equation .

So, 4 = -2(4) + c

4 = -8 + c

c = 12

The equation of the line in slope-intercept form is y = -2x + 12

Hence, the equation of the line in standard form is y = -2x + 12.

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The approximate probability that a married woman selected at random is taller than her husband is 8.85%.

We can use the concept of sampling distribution of the difference between two means to approximate the probability that a randomly selected married woman is taller than her husband.

Let X be the height of a married man and Y be the height of a married woman. Then, the probability that a woman is taller than her husband can be expressed as P(Y > X).

The sampling distribution of the difference between two means can be approximated by a normal distribution if the sample sizes are large enough. In this case, since we have a large sample of 400 couples, we can assume that the sampling distribution of the difference in heights between married men and women is approximately normal.

The mean of the difference in heights between married men and women is

65 - 70 = -5 inches

The standard deviation is the

√(3² + 2.5²) = 3.7 inches.

We can then standardize the difference using the formula:

Z = (Y - X - (-5))/3.7

P(Y > X) = P(Z > (0 - (-5))/3.7) = P(Z > 1.35)

Using a standard normal table or calculator, we find that the probability of a woman being taller than her husband is approximately 0.0885 or 8.85%.

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Complete question is:

A random sample of 400 married couples was selected from a large population of married couples.

Heights of married men are approximately normally distributed with mean 70 inches and standard deviation of 3 inches.

Heights of married women are approximately normally distributed with mean 65 inches and standard deviation 2.5 inches.

There were 20 couples in which the wife was taller than her husband, and there were 380 couples in which the wife was shorter than her husband

suppose that a married man is selected at random and a married woman is selected at random. find the approximate probability that the woman will be taller than the man.

Answer: 90.86

i got this questions

The quadrilateral FGHI is a parallelogram

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

F = (0, -6), G = (7, -4), H = (8, 4), I = (1, 2)

The lengths can be calculated as

Lengths = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the above as a guide, we have the following:

FG = √[(0 - 7)² + (-6 + 4)²] = √53

GH = √[(8 - 7)² + (4 + 4)²] = √65

HI = √[(8 - 1)² + (4 - 2)²] = √53

IF = √[(1 - 0)² + (2 + 6)²] = √65

For the slopes, we have

Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

FG = (-6 + 4)/(0 - 7) = 2/7

GH = (4 + 4)/(8 - 7) = 8

HI = (4 - 2)/(8 - 1) = 2/7

IF = (2 + 6)/(1 - 0) = 8

Based on the above computations, we have

Hence, the shape is a parallelogram

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Answer:

211

Step-by-step explanation:

360 - 149 = x

x = 211°

since its a circle the angle is 360°. so you gotta subtract the 149 to get the other part of it. full circle angle is 360°. to check your answer add 211 + 149 to get 360.

Answer:

29 pages

Step-by-step explanation:

We can be 90% confident that the true average number of sick days for an employee who is 28 years old falls between 4.31 and 9.85 days per year, based on the provided data

First, we can plug in the value of 28 for Age in the regression line equation to get the estimated average number of sick days for an employee who is 28 years old:

Next, we can use the standard error to calculate the margin of error for a 90% confidence interval:

Finally, we can construct the confidence interval by adding and subtracting the margin of error from the estimated average number of sick days:

Confidence interval = 7.079032 ± 2.767462 = (4.31157, 9.84649)

Therefore, we can be 90% confident that the true average number of sick days for an employee who is 28 years old falls between 4.31 and 9.85 days per year, based on the provided data.

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Complete Question:

The estimated regression line and the standard error are given. Sick Days=14.310162−0.2369(Age) se=1.682207 Find the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 28. Round your answer to two decimal places.

Employee 1 2 3 4 5 6 7 8 9 10

Age 30 50 40 55 30 28 60 25 30 45

Sick Days 7 4 3 2 9 10 0 8 5 2.

Answer:

91

Step-by-step explanation:

Answer:

la reponse a la question et 91

110° is obtuse 4x is 70° which is an acute angle

Answer:

It would be 10x until you found what x is then u do the rest on yur own

Step-by-step explanation:

Answer:

what do you need help with???

The inverse of the function is \(f^-1 = \frac{1}{4}x + 2\) .

What is inverse of the function ?

   A function that "undoes" another function is known as an inverse in mathematics. To put it another way, if f(x) produces y, then y will produce x when y is fed into f's inverse function. A function f is said to be invertible if it has an inverse, and the inverse is represented by the symbol \(f^-1\)

Here the given function is,

=> f(x) = 2(x-3)2+4

=> f(x) = 4(x-3)+4

=> f(x) = 4x-12+4

=> f(x) = 4x -8

Now take y= f(x) then,

=> y = f(x)=4x-8

=> y = 4x-8

Now  interchange x and y then,

=> x = 4y-8

Now solve for y then,

=> x+8 = 4y

=> y= \(\frac{1}{4} x+ 2\)

Then \(f^-1\) = \(\frac{1}{4}x+ 2\)

Therefore inverse of the function is \(f^-1 = \frac{1}{4}x + 2\) .

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Total hats = 52 + 13 = 65

Percentage that are baseball = number of baseball/ total hats x 100.

52/65 = 0.8 x 100 = 80%

80% are baseball hats

Answer: 80%

Step-by-step explanation:

First, you would add 52 and 13 together. That would be 65. Then you would divide 52 by 65. The answer is 0.8. That is equal to 80%.

Answer:

  b = 44

Step-by-step explanation:

We can complete the square(s) to put the equation in standard form. Then we can find the value of b that makes the radius be 7 units.

__

  x^2 +y^2 -4x +2y = b . . . . . given

  (x^2 -4x) +(y^2 +2y) = b . . . . group by variable

  (x^2 -4x +4) +(y^2 +2y +1) = b + 4 + 1 . . . . complete the squares

  (x -2)^2 +(y +1)^2 = b +5 = 7^2 = 49 . . . . . write as squares, show radius

  b = 49 -5 = 44 . . . . subtract 5

The value of b to make the radius 7 is 44.

_____

The standard form of the equation for a circle is ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . center (h, k), radius r

New function that is a horizontal stretch of F(x)=\((x+2)^{3} + 5\) is F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)

The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).Only when the input value is also increased by a, can a graph be stretched horizontally by a factor of 1/a. The x-coordinates should be multiplied by a once f(x) has been stretched horizontally to f(ax). Keep the y-intercepts where they are. The resulting function might have a different domain, but it will have the same range. If a point (m, n) is stretched horizontally, it becomes (am, n).

F(x)=\((x+2)^{3} + 5\)

F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)ch visit :
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Answer:

0=2pi/3 or another way of writing I is 0= 120°+360°×n

Answer:

statistical experiments performed on a well defined sample space

Step-by-step explanation:

experiments can be performed either by probability, or other repetitive actions on sample space for possible outcomes.

Answer:

15.2 (rounded)

Step-by-step explanation:

To solve we need to use the pythagrom theorem. This theory states that \(a^{2} + b^2 = c^2\). In which a and b are the legs of the triangle and c is the hypotenuse.

Because we have these numbers we can plug them into our equation:

\(5^2 + b^2 = 16^2\). \(5^2 = 25\) and \(16^2 = 256\) so our final equation is \(25 + b^2 = 256\). To find b (our missing leg) we need to subtract 25 from both sides. This leaves us with the problem \(b^2=231\). The final step would be to square root both sides and we get our answer of about 15.2

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Note: Consider we need to find the amount.

Given:

Principal = $38000

Rate of interest = 9% compounded monthly

Time = 7 years

To find:

The amount after 7 years.

Solution:

Formula for amount:

\(A=P\left(1+\dfrac{r}{n}\right)^{nt}\)

Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

The interest is compounded monthly, so n=12.

Putting \(P=38000, r=0.09,n=12, t=7\) in the above formula, we get

\(A=38000\left(1+\dfrac{0.09}{12}\right)^{12(7)}\)

\(A=38000\left(1+0.0075\right)^{84}\)

\(A=38000\left(1.0075\right)^{84}\)

\(A\approx 71181.67\)

Therefore, the amount after 7 years is $71181.67.

Answer:

I believe it to be C

Step-by-step explanation:

Answer:

The answer came up as D actually.

Step-by-step explanation:

N/A

By applying the binomial distribution formula, it can be concluded that the probability that more than 6 will say yes is 0.423 (option B).

Combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.

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

n = number of samples

r = number of selected samples

The binomial distribution formula is used to find the probability of the specific outcome in a discrete distribution.

P(X) = C(n,r) * \(p^{r}\) * \(q^{n-r}\) where:

C = combination value

p = probability of success on a single trial

q = probability of failure on a single trial

n = 22

p = 28% = 0.28

q = 1 - 0.28 = 0.72

The probability that r adults will say yes is given by the binomial distribution:

P(X=r) = C(n,r) * \(p^{r}\) * \(q^{n-r}\)

= C(22,r) * \(0.28^{r}\) * \(0.72^{22-r}\)

P(X≤6) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)

Now we calculate for each probability:

P(X=0) = C(22,0) * 0.28⁰ * 0.98²² = 0.000726633

P(X=1) = C(22,1) * 0.28¹ * 0.98²¹ = 0.00621676

P(X=2) = C(22,2) * 0.28² * 0.98²⁰ = 0.025385

P(X=3) = C(22,3) * 0.28³ * 0.98¹⁹ = 0.0658131

P(X=4) = C(22,4) * 0.28⁴ * 0.98¹⁸ = 0.121571

P(X=5) = C(22,5) * 0.28⁵ * 0.98¹⁷ = 0.1702

P(X=6) = C(22,6) * 0.28⁶ * 0.98¹⁶ = 0.187535

If we sum up the results, we get P(X≤6) = 0.577447493

P(X>6) = 1 - P(X≤6)

           = 1 - 0.577447493

           = 0.422552507

           ≈ 0.423

Thus the probability that more than 6 will say yes is 0.423.

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Answer:

0.48

Explanation:

4.8 is greater than 0.48.

Answer:

28% of the class didn't pass the test.

Step-by-step explanation:

25 - 18 = 7

7/25 = 0.28  or 28%

Thus, 28% of the class didn't pass the test.

You should check the following options:

( ) PQ = 10

( ) QS = 12

( ) QS = 13

( ) SR = 5

( ) SR = 6

Let's calculate the distances between the given points using the distance formula and check which statements are true.

Distance between points P and Q (PQ):

PQ = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((4 - (-2))^2 + (11 - 3)^2)

= sqrt(6^2 + 8^2)

= sqrt(36 + 64)

= sqrt(100)

= 10

So, PQ = 10 is true.

Distance between points Q and S (QS):

QS = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((9 - 4)^2 + (-1 - 11)^2)

= sqrt(5^2 + (-12)^2)

= sqrt(25 + 144)

= sqrt(169)

= 13

So, QS = 13 is true.

Distance between points S and R (SR):

SR = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((12 - 9)^2 + (3 - (-1))^2)

= sqrt(3^2 + 4^2)

= sqrt(9 + 16)

= sqrt(25)

= 5

So, SR = 5 is true.

Based on our calculations, the following statements are true:

PQ = 10

QS = 13

SR = 5

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Answer:

A :

B : Trapezius!

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