A triangle has two 13-cm sides and a 10-cm side. The largest circle that fits inside this triangle meets each side at a point of tangency. These points of tangency divide the sides of the triangle into segments of what lengths? What is the radius of the circle?

Answer:

a) The probability that the thickness is less than 3.0 mm

P(X<3.0) = 0.057

b) The probability that the thickness is less than 7.0 mm

P(X>7) = 0.0401

c) The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7)= 0.9029

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ)  = 4.9 mm

Standard deviation of the Population(σ) = 1.2 mm

a)

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]

The probability that the thickness is less than 3.0 mm

[tex]P(X<3.0) = P(Z < -1.583) = 1 - P( Z>1.583)[/tex]

                                               =  1 - ( 0.5 + A(1.583)

                                              = 0.5 - A(1.583)

                                             = 0.5 - 0.4430

                                             = 0.057

The probability that the thickness is less than 3.0 mm

P(X<3.0) = 0.057

b)

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]

The probability that the thickness is less than 7.0 mm

[tex]P(X>7.0) = P(Z >1.75) = 0.5 - A(1.75)[/tex]

                                          = 0.5 - 0.4599   ( from normal table )

                                          = 0.0401

The probability that the thickness is less than 7.0 mm

P(X>7) = 0.0401

c)

Let 'X' be the random variable in normal distribution

[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]  

[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]

The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7) =  P( - 1.583 < X < 1.75 )

                   =   A(  1.75 ) + A( -1.583)

                  =     A(1.75)+A(1.583)

                 = 0.4599 + 0.4430

                = 0.9029  

The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7)= 0.9029

Answer:

System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x+3<6  Equation/Question

Step 2

-3x+3<6  Simplify

-3x<3

Step 3

-3x<3  Divide

Answer

x>-1

Hope this helps

Answer:

Step-by-step explanation:

The nomebers are equivalent (true)

opposites. (true)

produt 1 (false)

a positive value (false)

last on don't now but I think it's (false)

Answer:

25 miles a day

Step-by-step explanation:

75 divided by 3 is 25

Answer:

wow good job carrieee lol

thers no question tho :(

Answer:

14 minutes.

Step-by-step explanation:

To create a linear equation that represents an airplane flying at an altitude of 30,100 feet, descending 2,150 feet per minute, that represents how long it will take for the airplane to touch down, proceed as follows:

2,150X = 30,100

X = 30,100 / 2,150

X = 14

Thus, the plane will take 14 minutes to reach the ground, descending 2,150 feet per minute from 30,100 feet.

Answer:

I'm not really sure that my answer is correct, but if you divide 640 by 70 you get 9, so Brian can put 9, 70 pound boxes in the truck.

Step-by-step explanation:

Answer:

Each fruit cost  $2.65 each

Step-by-step explanation:

530 divided by 2 equals 265

Then move the decimal two places left and you get...

2.65

    Brainliest? I'm trying to level up!

              </3 PureBeauty

Answer:

the answer is h=9

Step-by-step explanation:

the answer is h=9

27/3=9

In statistics,

By using above definitions ,

a. Population = all U.S. adults

Sample = 1000 U.S. adults

b.  Population = all nurses working in the San Francisco.

Sample = 38 nurses working in the San Francisco.

c. Population = all credit cards

Sample =  39 credit cards

d. Population = all physicians.

Sample = 1205 physicians

The number of students that scored a 77 on the test in the histogram D. Cannot be determined.

It should be noted that a histogram is simply used to review and provide a visual analysis of data.

In this case, the number of students that scored a 77 on the test cannot be determined.

Learn more about histogram on:

https://brainly.com/question/2962546

#SPJ2

Answer:

the slope line that passes through the point is 4/5

Answer:

-1 and 1/3

Step-by-step explanation:

-12 x -1 1/3= 16

Answer:

-3/4

Step-by-step explanation:

-12m=16

m=12/-16

simplify

m=-3/4

8. 1/3 = 3/y

or, y= 9

11. 3/x= 6/x+8

or, 6x=3x+24

or, 3x= 24

or, x=8

Hope it helps uh.

Answer:

x = 8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Divide both sides by 3.

Hope this helps

Answer:

7.0

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.

Answer:

1

Step-by-step explanation:

Since the variables dont have any numbers next to them, 1 is the coefficient for x and y

Answer: There is a strong association between age and weight.

Step-by-step explanation:

The correlation coefficient (r) is used to describe the relationship between two variables.

[tex]-1\leq r\leq1[/tex]

If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.

Here,  Variables: Age and weight.

correlation coefficient = 0.512

That means, there is a strong association between age and weight.

Answer:

7.74

Step-by-step explanation:

Answer:

1) 1/3+1/2= 5/6   2) 3/4-1/2= 1/4

Step-by-step explanation:

1/3+1/2= 5/6 (multiply each denominator by what both of the fractions can equal, so 1/3= 2/6 and 1/2= 3/6. add 3/6 and 2/6 together) ( whatever you do to the top you do to the bottom)

3/4-1/2= 1/4 ( 3/4 equals 3/4 since 1/2 already equals 2/4, u dont need to change anything to 3/4) but make sure you make 1/2 equal to 3/4 so you can subtract easily!

9514 1404 393

Answer:

  (a) -(x+7)/y

  (b) (x+7)/-y

Step-by-step explanation:

There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.

The given expression with -1 factored out is ...

  [tex]\dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}[/tex]

Likewise, the expression of (b) with the minus sign factored out is ...

  [tex]\dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}[/tex]

On the other hand, simplifying expression (c) gives something different.

  [tex]\dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}[/tex]

__

Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).

  Given: (-x-7)/y = (-x/y) +(-7/y)

  (a) -(x+7)/y = (-x/y) +(-7/y)

  (b) (x+7)/(-y) = (-x/y) +(-7/y)

  (c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.

__

Of course, you need to know the use of the distributive property and the rules of signs.

  a(b+c) = ab +ac

  -a/b = a/(-b) = -(a/b)

  -a/(-b) = a/b

__

Summary: The given expression matches (a) and (b).

_____

Additional comments

Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...

  [tex]\left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0[/tex]

Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.

The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.

(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given

(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given

(c) evaluates to (-1-7)/-2 = 4, different from given

Answer:

Points A and C are on the unit circle

Step-by-step explanation:

The unit circle is a circle of radius 1, that is, all the points that are inside the circle have the sum of the squares of its coordinates that are at most 1. Here, we have to test this for each option.

In options B and D, the coordinates 13/7 and 4/3, respectively, means that this sum will be larger than 1, and this points will not be on the unit circle. Now we text for options A and C.

A. ( 5/13, 12/13)

[tex]\sqrt{(\frac{5}{13})^2+(\frac{12}{13})^2} = \sqrt{\frac{25}{169}}+\sqrt{\frac{144}{169}} = \sqrt{\frac{169}{169}} = \sqrt{1} = 1[/tex]

Since the sum of the squares is 1, the point is on the unit circle.

C. (1/3, 2/3)

[tex]\sqrt{(\frac{1}{3})^2+(\frac{2}{3})^2} = \sqrt{\frac{1}{9}}+\sqrt{\frac{4}{9}} = \sqrt{\frac{5}{9}}[/tex]

Since the sum of the squares is less than 1, the point is on the unit circle.

Answer:

I have made it in pic hope it helps

Answer:

$3.70

Step-by-step explanation:

What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.

Answer:

The shirt would be $14.80 after using the coupon!

Step-by-step explanation:

I hope this helps a bit, have a good day! =)

9514 1404 393

Answer:

  5

Step-by-step explanation:

Fill in the given values and do the arithmetic.

  [tex]\dfrac{12x-3y}{4x-z}=\dfrac{12\cdot3-3\left(\dfrac{1}{3}\right)}{4\cdot3-5}=\dfrac{36-1}{12-5}=\dfrac{35}{7}=\boxed{5}[/tex]

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, 5 is the answer.

Answer:

[tex]x=1,CD=5[/tex]

Step-by-step explanation:

It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:

[tex]2x+3=3x+2,\\x=1[/tex]

Plugging [tex]x=1[/tex], we have:

[tex]CD=2(1)+3=5[/tex].

Answer:

Plz give a picture or smth

Step-by-step explanation:

Thanks for the points tho