Find the geometric mean of each pair of numbers.
16 and 28

n(A) = 6

P(A)  = 0.6

n(A AND B) = 3

P(A AND B) = 0.3

P(A∣B) =  = 0.5

n(A) = 6

P(A)  = 0.6

n(B) = 6, P(B) = 0.6, n(A OR B) = 9, P(A OR B) = 0.9, P(B∣A) = 0.5.

(Probability of event A is the ratio of the number of favorable outcomes in A to the total number of possible outcomes, which is 10 in this case).

n(A AND B) = 3 (A and B have three common elements: {5, 8}).

P(A AND B) = n(A AND B) / n(S) = 3 / 10 = 0.3 (Probability of the intersection of events A and B is the ratio of the number of common outcomes to the total number of possible outcomes).

P(A∣B) = P(A AND B) / P(B) = (n(A AND B) / n(S)) / (n(B) / n(S)) = n(A AND B) / n(B) = 3 / 6 = 0.5 (Probability of event A given event B is the ratio of the number of outcomes in the intersection of A and B to the number of outcomes in B).

n(B) = 6 (B has 6 elements: {2, 4, 5, 6, 7, 8}).

P(B) = n(B) / n(S) = 6 / 10 = 0.6 (Probability of event B is the ratio of the number of favorable outcomes in B to the total number of possible outcomes).

n(A OR B) = n(A) + n(B) - n(A AND B) = 6 + 6 - 3 = 9 (The number of outcomes in the union of events A and B is the sum of the number of outcomes in A, the number of outcomes in B, minus the number of outcomes in their intersection).

P(A OR B) = n(A OR B) / n(S) = 9 / 10 = 0.9 (Probability of the union of events A and B is the ratio of the number of outcomes in the union to the total number of possible outcomes).

P(B∣A) = P(A AND B) / P(A) = (n(A AND B) / n(S)) / (n(A) / n(S)) = n(A AND B) / n(A) = 3 / 6 = 0.5 (Probability of event B given event A is the ratio of the number of outcomes in the intersection of A and B to the number of outcomes in A).

n(A) = 6, P(A) = 0.6, n(A AND B) = 3, P(A AND B) = 0.3, P(A∣B) = 0.5, n(B) = 6, P(B) = 0.6, n(A OR B) = 9, P(A OR B) = 0.9, P(B∣A) = 0.5.

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Answer:

\(y=3(x-7)^2\)

Step-by-step explanation:

Translations

For \(a > 0\)

\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)

\(y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a\)

Parent function

\(y=x^2\)

Translated 7 units to the right

Subtract 7 from the x-value:

\(f(x-7) \implies y=(x-7)^2\)

Vertically stretched by a factor of 3

Multiply the whole function by 3:

\(3f(x) \implies y=3(x-7)^2\)

Streched 7 units right means change in x

So new equation

Vertically streched by 3

Answer:

3.14

Step-by-step explanation:

area=pi times the square of radius

1^2 = 1 x 3.14=3.14

\(ax+3=2x+b\implies ax+3-2x=b\implies ax-2x=b-3 \\\\\\ \stackrel{\textit{common factoring}}{x(a-2)}=b-3\implies x=\cfrac{b-3}{a-2} \\\\[-0.35em] ~\dotfill\\\\ 3(wx-v)=8(x+v)\implies 3wx-3v=8x+8v\implies 3wx-3v-8x=8v \\\\\\ 3wx-8x=8v+3v\implies \stackrel{\textit{common factoring}}{x(3w-8)}=11v\implies x=\cfrac{11v}{3w-8}\)

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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y-intercept: (0,60)

This is given in the table.

Slope: \(m = \dfrac{y_2 - y_1}{x_2 - x_1}\)

Using (1,50) and (2,40):

   \(m = \dfrac{40 - 50}{2-1} = \dfrac{-10}{1} = -10\)

The slope is -10.

Using the slope-intercept form (y=mx+b) and the fact that we found m=-10 and b=60 from the table, the equation is:

   y = -10x + 60

Answer:

I am pretty sure the answer would be 51 feet

Answer:

A ) x < 48

B ) X less than or equal to 8

C ) 4/5

Step-by-step explanation:

I hope this helps you out!

Answer:

The answer is "0.1245", "1245 out of 10,000", and "12.45 out of 100"

Step-by-step explanation:

wrong - 0.001245 in percent is 1245%

wrong - 0.1245 out of 100 is 0.1245/100 which is 0.001245%

don't know - pretty close to one-eight means 1/8 which = 0.125, as a % = 12.5%

wrong - 1245 out of 1,000 is 1.245 and in percent = 0.01245%

wrong - 1245 out of 100,000 is 0.01245 and in percent = 1.245%

RIGHT - 0.1245 as percent is 12.45%

RIGHT - 1245 out of 10,000 is 0.1245 and in percent = 12.45%

wrong - 1245 as a percent is 124500%

RIGHT - 12.45 out of 100 is 12.45/100 which is 0.1245 and as a percent is 12.45%

(please give me brainliest :)

Answer:

The unbrella is 13.5 feet tall.

Step-by-step explanation:

35 / 28 = 1.25

1.25x = 16 7/8

x = (16 7/8) / 1.25

x = 13.5 ft

Answer:

29/49

Step-by-step explanation:

x:y = 3:4

let x = 3x , y = 5k

3x+4y/8x+5y

= 3(3k)+4(5k)/8(3k)+5(5k)

= 9k+20k/24k+25k

=29/49

A simple linear regression model predicts the response variable using a single predictor variable. In this case, the average relative skill is used to predict the total number of wins in a regular season.

In simple linear regression, the relationship between the predictor variable (average relative skill) and the response variable (total number of wins) is represented by the equation:

Wins = Intercept + Slope * Average Relative Skill

The overall F-test assesses the significance of the linear relationship between the predictor and response variables. The steps of this hypothesis test are as follows:

a. Null Hypothesis (H0): There is no significant linear relationship between average relative skill and the total number of wins in a regular season.

b. Alternative Hypothesis (Ha): There is a significant linear relationship between average relative skill and the total number of wins in a regular season.

c. Level of Significance: The chosen significance level (typically 0.05) determines the threshold for accepting or rejecting the null hypothesis.

d. The F-test statistic evaluates the overall significance of the regression model. It compares the explained variation (due to the model) to the unexplained variation (residuals). The associated p-value determines the statistical significance of the F-test.

By comparing the test statistic to the critical value and considering the p-value, we can make conclusions about the significance of the linear relationship between average relative skill and the total number of wins.

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Answer:

Eminem.

Rakim.

Nas.

Andre 3000.

Lauryn Hill.

Ghostface Killah.

Kendrick Lamar.

Lil Wayne

Step-by-step explanation:

Answer:

Logic

Step-by-step explanation:

The value of h is -1.5 if the graph shows the function f(x)= |x-h| + K or f(x) = |x + 1.5| - 3.5.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a function:

f(x) = |x - h| + k is shown in the graph.

The above function is a transformation of a parent function:

F(x) = |x|

After applying transformation we get:

f(x) = |x + 1.5| - 3.5

On comparing:

h = -1.5

k = -3.5

Thus, the value of h is -1.5 if the graph shows the function f(x)= |x-h| + K or f(x) = |x + 1.5| - 3.5.

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Answer:

11

Step-by-step explanation:

hope this helps with the work

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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The slopes of the parallel line and the perpendicular line are - 5 / 3 and 3 / 5, respectively.

In this problem we find the following line equation:

y = - (5 / 3) · x + 2

Where the constant - 5 / 3 represent the slope of the line. Herein we need to determine the slopes of a line parallel with and a line perpendicular to that line. This can be done by knowning the following hints:

Then, the respective slopes are described below:

Parallel

m = - (5 / 3)

Perpendicular

m = 3 / 5

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Answer:

Well, the full question needs to be explained first. It very well is 7.4 miles back to the grocery store.

Step-by-step explanation"

First you have to take the time from home to school, x2 then divided 1.2 because the grocery store is a different coordinate than school, and multiply by your needing.

Answer:

So, the correct option is A. x = 9, y = 14 , Sides are 11 and 20

Step-by-step explanation:

P.S - the exact question is -

As given in the question ,

Side AB = Side AD

⇒y - 3 = x + 2

⇒y - x = 2 + 3 = 5

⇒y - x = 5                        .........(1)

Also, given

Side BC = Side CD

⇒2x + 2 = x + 11

⇒2x - x = 11 - 2

⇒x = 9

∴ equation (1) becomes

y - 9 = 5

⇒y = 5 + 9 = 14

⇒y = 14

∴ we get

x = 9, y = 14

Now,

as given ,

Side AB = y - 3

⇒ AB = 14 - 3 = 11

Side BC = 2x + 2

⇒ BC = 2(9) + 2 = 18 + 2 = 20

Side CD = x + 11

⇒ CD = 9 + 11 = 20

Side DA = x + 2

⇒DA = 9 + 2 = 11

∴ we get

The sides are 11 and 20

So,

The correct option is A. x = 9, y = 14 , Sides are 11 and 20

180° rotation rule  (x, y) → (–x, –y)..

Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown.

The first triangle has points X (-5, 3), Y (-2, 3), Z (2, 1).

The second triangle has points X prime (5, - 1), Y prime (5, - 4), Z prime

(3, - 4).

Here the sign of both coordinates has been changed but the magnitude remains same.

So, the rule is  (x, y) → (–x, –y)  which is for 180° rotation.

Hence, the  180° rotation rule  (x, y) → (–x, –y).

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The total time would be 38,3 seconds moves of arc length of 24.0 cm

The measurement of a circle's boundaries is also known as the circumference or the perimeter of the circle. whereas the circumference of a circle shows the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units such as cm or m are used to measure it.

First we convert cm to meters.

6.00cm= 0.006m

24.0cm= 0.024m

Circumference

2πr = 2(π)(0.006)= 0.0376

The second hand taking 60 sec for one rev, so:

60*0.024/ 0.0376 = 38.3 seconds.

Hence we get the time as 38.3 seconds

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Answer

x=37.8

Step-by-step explanation:

According to Pythagoras theorem

AB = 21.5

BC = 13.1

AC = ?

AC²= AB²+BC²

x² =(21.5)²+(13.1)²

x² =462.25+967.21

x² =1429.46

x =√1429.46

x =37.8

If you divide the circumference C over the radius r, you get 2pi

2pi = C/r

this is because

C = 2pi*r

is one formula to find the circumference. Another formula is

C = pi*d

which works because d = 2r, ie the diameter is twice the radius.

In the statement "she come to think of it she was kind of like a bird herself" the bird symbolizes  peace, hope, and comfort .

What is the Symbolism of  bird in the Trifle ?

A bird is used in reference to main character of the play, Minnie Foster,  after her marriage to John Wright she became Mrs. Wright .

Mrs. Wright have a canary in cage in their farmhouse. The bird used to sing a lot, and Mr. Wright did not like the bird's singing. There family did not have any child . That's why she bought a bird.

The bird was Mrs.Wright whole world. When her husband took the life of bird, Mrs.Wright 's heart got broken. She loved the bird and after her husband Mr. Wright killed bird there was so much  hatred towards the husband.  

Therefore , In the play Trifles, bird symbolize peace, hope, and comfort.  

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From the counting principal, the possible formed distinct 3 digit numbers from the digits 1,2,3,4 with repititions is equals to the 64 ways.

W have a total number of digits = 4 = {1,2,3,4}

We have to form three digit number with repetition.

The unit’s place can be filled by any of the four digits. Since, the repetition of the digits is allowed, thus, the remaining two places that are ten’s and hundred’s places can also be filled by any of the four digits. So, the number of ways in which the three-digit numbers can be formed from these digits can be calculated by multiplication principle which states that if an event can occur in m different ways and follows another event that can occur in n different ways, then the total number of occurrence of the events in the order is m×n. Since, each place have 4 ways to obtain any of digit.

The total number of ways to form three digit numbers with repetition is = 4³ = 64

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Answer:

A

Step-by-step explanation:

Well in this question, we have to look on how big they are. If there are 4 round ones in box b, then it would be A because it is larger in size to the other ones.

Variables:

w= The\ year\ Civil\ War\ ended

The year the Greek city of Helike disappeared is -1/5(w)

sry if im wrong i hope this helps tho :)

Answer:

Hope this helps

Step-by-step explanation:

-1/5x=w

w=1865

so -1/5x=1865

x=-9325

The number of ways to get from York to Sunfield is 105. To calculate the total number of ways, we multiply the number of choices at each step along the way.

We start at York and need to reach Sunfield. We have 3 options for the first step, as there are 3 roads leading from York to Castle. After reaching Castle, we have 5 options for the second step, as there are 5 roads leading from Castle to Oakville. Finally, from Oakville to Sunfield, we have 7 options for the third step.

To determine the total number of ways to get from York to Sunfield, we multiply the number of choices at each step. Multiplying 3 options for the first step, 5 options for the second step, and 7 options for the third step gives us: 3 * 5 * 7 = 105.

Therefore, there are 105 ways to travel from York to Sunfield, considering all the possible combinations of roads.

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