Find the coordinates of a point that divides a line segment AB in the ratio 2:6.

Find The Coordinates Of A Point That Divides A Line Segment AB In The Ratio 2:6.

Answers

Answer 1

Answer:

Step-by-step explanation:

The first thing we should do is to calculate the distance AB

To do that we must khow the coordinates of the vector AB

Vector AB(6-(-6)),-7-9)⇒ Vector AB (12, -16) So the distance AB =[tex]\sqrt{12^{2}+(-16)^{2} }[/tex]= 20 now 20 to the ratio of 2:6 add 2 and 6 2+6=8divide 20 by 8  20/8=2.5 multiplay 2.5 by 2 and 6  2.5*2=5 and 2.5*6= 15 so the point (3, -3) can satisfy this ration if we calculate the remaining distance we find 5 and 15

Answer 2

Answer: (-3,5)

Step-by-step explanation:

Percent Ratio =2/2+6 =2/8 =1/4

Rise = −7 − 9 = −16, Run = 6 − (−6) = 6 + 6 = 12

x coordinate of P = x1 + Run(Percent Ratio)

x1 is the x coordinate of the starting point (A) of the line segment

x coordinate of P = −6 + 12(1/4) = −6 + 3 = −3

y coordinate of P = y1 + Rise(Percent Ratio)

y1 is the y coordinate of the starting point (A) of the line segment

y coordinate of P = 9 + (−16)(1/4)) = 9 − 4 = 5

The coordinates of the point that divides line segment AB in the ratio 2:6 are (−3,5).


Related Questions

QUESTION 8
Find Future Value Using Compound Interest Formula:
You deposit $6,000 in an account earning 4% interest compounded monthly. How much will you have in the account in 5 years?
A $9,677.95
B. $6,100.67
C. $7,325.98
D. $7,200
QUESTION 9
Find Future Value Using Compound Interest Formula:
You deposit $5,000 in an account earning 5% interest compounded quarterly. How much will you have in the account in 10 years?
A $5,661.35
B. $7,500
C. $8,235.05
D. $8,218.10

Answers

Answer:

8.) $7325.98

9.) $8218.10

Step-by-step explanation:

Compounded Interest Rate Formula: A = P(1 + r/n)^nt

Simply plug in our known variables into the formula:

A = 6000(1 + 0.04/12)^60 = 7325.98

A = 5000(1 + 0.05/4)^40 = 8218.10

PLEASE HELP ME!!!!! A quadrilateral with vertices (0,0), (4,0), (3,2), (1,1) is mapped to a quadrilateral with vertices (6,3).(-2,3),(0,-1),(4,1). What is the center of the dilation and what is the scale factor.

Answers

Answer:

( 2,1) is the center of dilation and -2 is the scale factor

Step-by-step explanation:

We can use the formula

A' = k( x-a) +a, k( y-b)+b  where ( a,b) is the center of dilation and k is the scale factor

(0,0) becomes (6,3)

( 6,3) =  k( 0-a) +a, k( 0-b)+b

6 = -ka+a

3 = -kb+b

We also have

(4,0) becomes (-2,3)

( -2,3) =  k( 4-a) +a, k( 0-b)+b

-2 =4k -ka+a

3 = -kb+b

Using these two equations

6 = -ka+a

-2 =4k -ka+a

Subtracting the top from the bottom

-2 =4k -ka+a

-6 = ka -a

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

-8 = 4k

Divide by 4

-8/4 = 4k/4

-2 = k

Now solving for a

6 = -ka +a

6 = - (-2)a +a

6 = 2a+a

6 = 3a

Divide by 3

6/3 =3a/3

2=a

Now finding b

3 = -kb+b

3 = -(-2)b+b

3 = 2b+b

3 = 3b

b=1

Answer:

hope this helps uh.....

Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere

x^2+y^2+z^2=125

Answers

The parametrization shown below,

            [tex]x(t),y(t),z(t)=10cost,5,10sint[/tex]

Given equation of sphere,

                 [tex]x^{2} +y^{2} +z^{2} =125[/tex]

Substitute y = 5 in above relation.

         [tex]x^{2} +z^{2}=125-25=100\\ \\x^{2} +z^{2}=10^{2}[/tex]

For parametrization,

Substitute [tex]x=rcos(t),z=rsin(t)[/tex] and [tex]r=10[/tex]

So that,  [tex]x(t),y(t),z(t)=10cost,5,10sint[/tex]

Learn more:

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Plz help me plzzzzzz!!!!

Answers

Answer: D, 6

Step-by-step explanation:

Match each side from XYZ to ABC (you are trying to find the scale factor of triangle 1 to triangle 2)  into a fraction then simplify

Ex 30/5= 6 or  24/6= 6 or 18/3

It’s d)6. Because all the values in the bigger triangle is 6 times the values in the smaller one

Use a proportion to solve the problem. Round to the nearest tenth as needed.
Triangle in a triangle Find the height of the building. Assume that the height of the person is 5 ft.
104 ft
building
13 ft
5 ft

Answers

Answer:

Height of the building is 40 feet

Step-by-step explanation:

From the figure attached,

Height of the person DE = 5 feet

Let height of the building BC = h feet

Since, ΔABC ~ ΔADE,

Their corresponding sides will be proportional,

[tex]\frac{DE}{BC}=\frac{AD}{AB}[/tex]

[tex]\frac{5}{h}=\frac{13}{104}[/tex]

h = [tex]\frac{104\times 5}{13}[/tex]

h = 40 feet

Therefore, height of the building is 40 feet.

Will give brainliest answer

Answers

Answer:

A=50.26548246units^2

Step-by-step explanation:

Radius is 4 because half the diameter (8) is the radius (4)

A=πr^2

A=π(4)^2

A=50.26548246units^2

Answer:

16 pi unit^2

Step-by-step explanation:

The diameter is 8 so we can find the radius

r = d/2 =8/2 = 4

The area is given by

A = pi r^2

A = pi ( 4)^2

A = pi *16

Suppose that we don't have a formula for g(x) but we know that g(3) = −1 and g'(x) = x2 + 7 for all x.
(a) Use a linear approximation to estimate g(2.95) and g(3.05).
g(2.95) =
g(3.05) =
(b) Are your estimates in part (a) too large or too small? Explain.
A) The slopes of the tangent lines are positive and the tangents are getting steeper, so the tangent lines lie below the curve. Thus, the estimates are too small.
B) The slopes of the tangent lines are positive but the tangents are becoming less steep, so the tangent lines lie below the curve. Thus, the estimates are too small.
C) The slopes of the tangent lines are positive and the tangents are getting steeper, so the tangent lines lie above the curve. Thus, the estimates are too large.
D) The slopes of the tangent lines are positive but the tangents are becoming less steep, so the tangent lines lie above the curve. Thus, the estimates are too large.

Answers

Answer:

g(2.95) ≈ -1.8; g(3.05) ≈ -0.2A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.

Step-by-step explanation:

(a) The linear approximation of g(x) at x=b will be ...

  g(x) ≈ g'(b)(x -b) +g(b)

Using the given relations, this is ...

  g'(3) = 3² +7 = 16

  g(x) ≈ 16(x -3) -1

Then the points of interest are ...

  g(2.95) ≈ 16(2.95 -3) -1 = -1.8

  g(3.05) ≈ 16(3.05 -3) -1 = -0.2

__

(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)

Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1 to catch rainwater off his roof.he has a full 2 liters tin of paint in his store and decides to paint the tank (not the base) If he uses 25ml to cover 1m^2 will he have enough paint to cover the tank with one layer of paint

Answers

Answer:

  yes

Step-by-step explanation:

The lateral area of a cylinder is ...

  LA = πdh

Putting in the given numbers, we find the area to be ...

  LA = π(1.1 m)(1.4 m) ≈ 4.838 m²

At 25 mL per m², the amount of paint Tublu needs is ...

  (4.838 m²)(25 mL/m²) = 120.95 mL

2 liters is 2000 mL, so Tublu easily has enough paint for one layer.

___

The amount he has is enough for more than 16 coats of paint, so he could paint inside and out with the paint he has.

Answer:

he should.

Step-by-step explanation:

6.7 grams of aluminum sulfate to moles

Answers

Answer:

0.01958mol

Step-by-step explanation:

you want to go from grams to mols so when set up it looks like this

               

6.7 x [tex]\frac{1mol}{the mass of aluminum sulfate}[/tex]

(you want what your multiplying to cancel out with the denominator(g cancel out g so your left with mols))

to get the mass of aluminum sulfate you must first find the chemical formula which is

Al2(SO4)3

get the amount of every element

so there is:

2 Al

3 S

12 O

(multiply the three to everything inside the parenthesis)

next find the total mass of everything

Al=26.982g x 2

S=32.06g x 3

O=16g x 12

add everything together and you get 342.144g so you plug that number into the first equation

6.7 x[tex]\frac{1mol}{342.144g}[/tex] → [tex]\frac{6.7}{342.144}[/tex]→0.01958mol

Jacob and Dustin collected 245 cast for the school can job they give 55 cast to Dustin's little sister to take to her class how many cans does this leave for the boys class

Answers

Answer:

190 cans

Step-by-step explanation:

Total cans collected by Jacob and Dustin for the school can job = 245

Amount of cans they both gave to Dustin's little sister = 55

Now because they gave out cast out of the total they initially had, there would be a deduction in the amount both boys would now have.

To determine the amount the boys are left with, we would deduct 55 casts from the amount they had which 245.

Amount of cans left = 245-55 = 190

Amount of cans left for the boys class = 190 cans

Binomial factor of 25x2 + 40xy + 16y2 ?

Answers

Answer:

  (5x +4y)^2

Step-by-step explanation:

The first and last terms are both perfect squares, and the middle term is twice the product of their roots. That means the trinomial is the perfect square trinomial ...

  25x^2 +40xy +16y^2 = (5x +4y)^2

_____

It matches the pattern ...

  a^2 +2ab +b^2 = (a +b)^2

Answer:

(5x +4y)^2

Step-by-step explanation:

Please answer this correctly

Answers

Answer:

Question 2 is the right answer.

Step-by-step explanation:

Answer:

Question 2

Step-by-step explanation:

Temperature in the morning =  2°F  above normal temperature = + 2

Temperature at dinner time = 2° F lower than the morning = -2

+2 - 2 = 0° F

Select the expression that is equivalent to (x - 1)2.
O A. x2 - 2x + 2
O B. x2 - x + 2
O C. x2 - x + 1
O D. x2 – 2x + 1

Answers

Answer:

x^2 -2x+1

Step-by-step explanation:

(x - 1)^2

(x-1) * (x-1)

FOIL

first: x^2

outer: -1x

inner: -1x

last: 1

Add together

x^2 -1x-1x+1

Combine like terms

x^2 -2x+1

Answer:

[tex] \boxed{\sf D. \ {x}^{2} - 2x + 1} [/tex]

Step-by-step explanation:

[tex] \sf Expand \: the \: following: \\ \sf \implies {(x - 1)}^{2} \\ \\ \sf \implies (x - 1)(x - 1) \\ \\ \sf \implies x(x - 1) - 1(x - 1) \\ \\ \sf \implies (x)(x) - (1)(x) - (1)(x) - (1)( - 1) \\ \\ \sf \implies {x}^{2} - x - x - ( - 1) \\ \\ \sf \implies {x}^{2} - 2x - ( - 1) \\ \\ \sf \implies {x}^{2} - 2x + 1[/tex]

On average, a furniture store sells four card tables in a week. Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is most nearly Select one: a. 0.11 b. 0.075 c. 0.15 d. 0.060

Answers

Answer:

Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is 0.060

Step-by-step explanation:

In order to calculate the probability that the store will sell exactly seven card tables in a given week we would have to calculate the following formula:

probability that the store will sell exactly seven card tables in a given week= e∧-λ*λ∧x/x!

According to the given data furniture store sells four card tables in a week, hence λ=4

Therefore, probability that the store will sell exactly seven card tables in a given week=e∧-4*4∧7/7!

probability that the store will sell exactly seven card tables in a given week=0.060

Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is 0.060

In an aquarium, there are 7 large fish and 6 small fish. Half of the small fish are red.
One fish is selected at random. Find the probability that it is a small, red fish.
Write your answer as a fraction in simplest form.

Answers

Answer:

3/13

Step-by-step explanation:

There are a total of 13 fish (6+ 7 = 13). There are 3 small, red fish. (1/2 · 6 = 3). Put the number of small, red fish over the total number of fish because the small, red fish is being selected from the entire tank of fish. 3/13 cannot be simplified any further.

2 + 4x - 4 = 0 which gives x =

Answers

Answer:

[tex]x = \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]2 + 4x - 4 = 0 \\ 2 + 4x = 0 + 4 \\ 2 + 4x = 4 \\ 4x = 4 - 2 \\ 4x = 2 \\ \frac{4x}{4} = \frac{2}{4} \\ x = \frac{1}{2} [/tex]

Answer:

x = 1/2

Step-by-step explanation:

2 + 4x - 4 = 0

4x = 0 + 4 - 2

4x = 2

x = 2⁽²/4

x = 1/2

4 years ago, the population of a city was of "x" inhabitant, 2 years later, that is to say two years ago, the population of this same city was 81,000 inhabitants and today it is 65,610. Using this data, find the population of four years ago.

Answers

Answer:

The population of four years ago was 100,783 inhabitants

Step-by-step explanation:

The population of the city after t years is given by the following equation:

[tex]P(t) = P(0)(1-r)^{t}[/tex]

In which P(0) is the initial population and r is the decrease rate, as a decimal.

2 years later, that is to say two years ago, the population of this same city was 81,000 inhabitants and today it is 65,610.

This means that:

[tex]P(2) = 81000, P(4) = 65610[/tex]

We are going to use this to build a system, and find P(0), which is the initial population(four years ago).

P(2) = 81000

[tex]P(t) = P(0)(1-r)^{t}[/tex]

[tex]81000 = P(0)(1-r)^{2}[/tex]

[tex](1-r)^{2} = \frac{81000}{P(0)}[/tex]

P(4) = 65610

[tex]P(t) = P(0)(1-r)^{t}[/tex]

[tex]65100 = P(0)(1-r)^{4}[/tex]

[tex]65100 = P(0)((1-r)^{2})^{2}[/tex]

Since [tex](1-r)^{2} = \frac{81000}{P(0)}[/tex]

[tex]65100 = P(0)(\frac{81000}{P(0)})^{2}[/tex]

Using P(0) = x

[tex]65100 = x(\frac{81000}{x})^{2}[/tex]

[tex]65100 = \frac{6561000000x}{x^{2}}[/tex]

[tex]65100x^{2} = 6561000000x[/tex]

[tex]65100x^{2} - 6561000000x[/tex]

[tex]x(65100x - 6561000000) = 0[/tex]

x = 0, which does not interest us, or:

[tex]65100x - 6561000000 = 0[/tex]

[tex]65100x = 6561000000[/tex]

[tex]x = \frac{6561000000}{65100}[/tex]

[tex]x = 100,783[/tex]

The population of four years ago was 100,783 inhabitants

A piece of wire 27 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle.(a) How much wire should be used for the square in order to maximize the total area?(b) How much wire should be used for the square in order to minimize the total area?

Answers

Answer:

a).length of wire for square = 15.25 m

b). length of wire for triangle = 11.75 m

Step-by-step explanation:

Length of a piece of wire = 27 m

This wire was cut into 2 pieces of length 'x' m and (27 - x) m

One was bent into an equilateral triangle and other into a square.

Area of the square shape = Side²

A = [tex](\frac{27-x}{4})^2[/tex]                        

Similarly, Area of the equilateral triangle = [tex]\frac{\sqrt{3}}{4}(\text{Side})^2[/tex]

A' =[tex]\frac{\sqrt{3}}{4}(\frac{x}{3})^{2}[/tex]

Total area of both the figures = A + A'

                                               F = [tex]\frac{(27-x)^2}{16}+\frac{\sqrt{3}}{4}(\frac{x}{3} )^2[/tex]

Now we find the derivative of 'F' with respect to x and equate it to zero.

F' = [tex]\frac{1}{16}(-1)[2(27-x)]+\frac{\sqrt{3}}{36}(2x)[/tex] = 0

[tex]\frac{\sqrt{3}}{18}(x)=\frac{1}{8}(27-x)[/tex]

x = 15.25 m

a). Length of wire required for a square = 15.25 m

b). Length of wire required for an equilateral triangle = 11.75 m

A) The amount of wire that should be used for the square in order to maximize the area is; 0 m

B) The amount of wire that should be used for the square in order to minimize the area is; 11.74 m

A) We are told that length of wire is 27 m.

Now, let the length cut for the square be x. Thus, length cut for the triangle will be; (27 - x) m.

Since the length for the square is x, then a side of the square is;

Length of side of square = x/4

Length of side of equilateral triangle = (27 - x)/3

Thus;

Area of square; A_s = (x/4)²

Area of equilateral triangle; A_t = ((27 - x)/3)²(¹/₄√3)

Thus, total area is;

A(x) = (x/4)² + ((27 - x)/3)²(¹/₄)√3)

A(x) = ¹/₁₆x² + ¹/₃₆((27 - x)²√3)

B) Total area is;  A(x) = ¹/₁₆x + ¹/₃₆((27 - x)²√3)

To minimize the total area, we will differentiate and equate to zero.

A'(x) = ¹/₈x - ¹/₁₈((27 - x)√3)

At A'(x) = 0, we have;

¹/₈x - ¹/₁₈((27 - x)√3) = 0

¹/₈x = ¹/₁₈((27 - x)√3)

¹/₈x = ³/₂√3 - ˣ/₁₈√3

¹/₈x + ˣ/₁₈√3 = ³/₂√3

x(¹/₈ + ¹/₁₈√3) = ³/₂√3

x = (³/₂√3)/(¹/₈ + ¹/₁₈√3)

x = 11.74 m

Now, A''(x) = ¹/₈ +  ¹/₁₈√3

This is greater than zero and so x = 11.74 m is a minimum

Thus, length cut for triangle = 27 - 11.74

length cut for triangle = 15.26 m

Read more at; https://brainly.com/question/16965977

rationalize root six divided by root three minus root two.

Answers

Answer:

0

Step-by-step explanation:

Let's first divide the two roots of [tex]\sqrt{6}[/tex] and [tex]\sqrt{3}[/tex].

[tex]\sqrt{\frac{6}{3} }[/tex]

[tex]\sqrt{2}[/tex]

Now, [tex]\sqrt{2}[/tex] - [tex]\sqrt{2}[/tex] = 0.

So, this equation comes out to be 0.

Hope this helped!

Pls help see the picture posted

Answers

I hope this helps you

Alonzo and Cheryl are both members of a population, and a simple random sample is being conducted. If the chance of Alonzo being selected is 1/2900, what is the chance of Cheryl being selected?

Answers

Answer:

¿Consideras que la gente que discrimina por aspectos como el color de la piel, clase social, por el género, etc., no saben lo que las personas valen y por eso no las valoran?

¿Consideras que la gente que discrimina por aspectos como el color de la piel, clase social, por el género, etc., no saben lo que las personas valen y por eso no las valoran?

Answer: 1/2900

Step-by-step explanation: if they are both in the same population and they are both being randomly selected then they both have the same possibility of being picked

7
Find the sum of
and
11
26
13

Answers

Answer:

50

Step-by-step explanation:

If you mean find the sum of 11, 26, and 13, all you have to do is add those three together.

11 + 26 + 13 = 50

Answer:

11+26+13=50

Step-by-step explanation:

PLZ MARK BRAINLIEST

As an example, 15,000 Men 18-34 watched program X at 7-8 pm on Monday night. 32,000 Men 18-34 had their TV on during the same time period. There are 200,000 Men 18-34 in the television households in the market. What would be the rating for Men 18-34 for program X? Group of answer choices 47 rating points 7.5 rating points 16 rating points 23.5 rating points

Answers

Answer:

7.5 rating points

Step-by-step explanation:

The computation of the rating for Men 18-34 for program X is shown below:

Given that

Number of men 18 -34 watched a program X = 15,000 = X

Number of men 18 - 34 watched in a same time = 32,000

And, the total households in the market = 200,000 = Y

So, the rating for men 18-34 for program x is

[tex]= \frac{X}{Y}[/tex]

[tex]= \frac{15,000}{200,000}[/tex]

= 7.5 rating points

We simply applied the above formula

Use the function below to find f(4).
f(x)=1/3x4^x


A. 8/3
B.256/3
C.64/3
D.16/3

Answers

Answer:

F(4)=1/3*4^4

F(4)=256/3

Step-by-step explanation:

4^4=256

(1/3)*(256)=

256/3

Simply replace X with 4

Answer:

F(4)=1/3*4^4

F(4)=256/3

Step-by-step explanation:

4^4=256

(1/3)*(256)=

256/3

Round 113.04 to the nearest foot

Answers

Answer:

113 nearest tenth

Step-by-step explanation:

what do you mean by foot?

Answer:

are u sure it’s not nearest tenth?

Step-by-step explanation:

if so it’s 113

What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)? y = x + 3 y = x + 7 y = 3x – 13 y = 3x + 5

Answers

Answer:

y = x-1

Step-by-step explanation:

y = x + 4

This is in slope intercept form  ( y = mx+b where m is the slope and b is the y intercept).  The slope is 1

Parallel lines have the same slope

y = 1x+b

Using the given point

5 = 6*1+b

5-6 = 6+b-6

-1 =b

The equation becomes

y =1x-1

y = x-1

Answer:

its b ). y = -1/3 x + 7

Step-by-step example

What is the circumference of the circle below? (Round your answer to the nearest tenth.)

Answers

Answer:

Its 69.1 cm

Step-by-step explanation:

To find circumstance of any circle main formula is 2*pie*r .

Here pie is equal to 3.14 approx and r =11 cm

so

2*3.14*11 = 69.08 cm

This little difference is just because of pie's approximately value used

The monthly starting salaries of students who receive an MBA degree have a standard deviation of $110. What size sample should be selected to obtain a 0.95 probability of estimating the mean monthly income within $20 or less

Answers

Answer:

116.21

Step-by-step explanation:

Using the formula for calculating margin error to tackle the question.

Margin error = [tex]\frac{Z \sigma}{\sqrt{n} }[/tex]

Z is the value at 95% confidence

[tex]\sigma[/tex] is the standard deviation

n is the sample size to be estimated

Since the  mean monthly income is within $20 or less, our margin error will be $20

Given [tex]\sigma[/tex] = $110, Z value at 95% confidence = 1.96 we can calculate the sample side n.

Making n the subject of the formula from the equation above;

[tex]M.E = \frac{Z \sigma}{\sqrt{n} }\\\\\sqrt{n} = \frac{Z \sigma}{M.E } \\\\[/tex]

[tex]n = (\frac{Z \sigma}{M.E })^{2}[/tex]

Substituting the give value into the resulting expression;

[tex]n = (\frac{1.96 * 110}{20})^{2}\\\\n = (\frac{215.6}{20}) ^2\\\\n = 10.78^2\\\\n = 116.21[/tex]

This shows that the sample size that should be selected to obtain a 0.95 probability of estimating the mean monthly income within $20 or less is approximately 116.21

The manufacturer of a certain brand of hot dogs claims that the mean fat content per hot dog is 20 grams. Suppose the standard deviation of the population of these hot dogs is 1.9 grams. A sample of these hot dogs is tested, and the mean fat content per hot dog of this sample is found to be 20.5 grams. Find the probability that the sample mean is at least 20.5 when the sample size is 35.

Answers

Answer:

[tex]z=\frac{20.5-20}{\frac{1.9}{\sqrt{35}}}= 1.557[/tex]

And using the normal standard distribution and the complement rule we got:

[tex]P(z>1.557) =1-P(z<1.557) = 1-0.940 = 0.06[/tex]

Step-by-step explanation:

For this case we define our random variable X as "fat content per hot dog" and we know the following parameters:

[tex]\mu = 20, \sigma =1.9[/tex]

We select a sample of n=35 and we want to find the following probability:

[tex] P(\bar X>20.5)[/tex]

For this case since the sample size is >30 we can use the central limit theorem and we use the z score formula given by:

[tex]z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

Replacing we got:

[tex]z=\frac{20.5-20}{\frac{1.9}{\sqrt{35}}}= 1.557[/tex]

And using the normal standard distribution and the complement rule we got:

[tex]P(z>1.557) =1-P(z<1.557) = 1-0.940 = 0.06[/tex]

What is the radius of a circle what circumference is 44cm


A. 42cm
D. 24cm
B. 48cm
C. 12cm​

Answers

Hello!!

Circumference of a circle = 2πr

and

Given, 2πr = 44cm

So,

πr = 44/2 = 22

r = 22 × 7/22

r = 7cm is the answer.

Stay safe and God bless!

- eli <3

Answer:

7 cm

Step-by-step explanation:

Circumference of a circle is 2 π r

2πr = 44

Solve for radius.

r = 44/(2π)

r = 7.002817

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