which are the correct measures of interior angles of CDE

Answer:

2ay

Step-by-step explanation:

To simplify first we expand the brackets.

ax+ay- (ax-ay)

Now collect like-terms

ax-ax= 0

ay- (-ay) = 2ay

Therefore The simplified version would be 2ay

Answer:

288

Step-by-step explanation:

The ratio of gas to miles is 3:72. That is a proportion. 3:72 is the same as 12:288. (multiply both by 4)

Complete Question

Problem 9-8 (modified). The height of adult males in a particular city is normally distributed, with mean 69.5 in. and standard deviation 2.65 in.

When a random sample is taken of size  20, find (1) the standard error of Xbar

(2) the probability that Xbar falls within .5 in. of the true mean

Probability=

Answer:

1

[tex]\sigma_{\= x} = 0.5926[/tex]

2

[tex]P( 69 < \= X < 70) = 0.60134[/tex]

Step-by-step explanation:

From the question we are told that

  The true  mean is  [tex]\mu = 69.5 \ in[/tex]

  The standard deviation is  [tex]\sigma = 2.65 \ in[/tex]

    The sample size is n =  20

Generally the standard error of Xbar[tex](\= x)[/tex] is mathematically represented as

     [tex]\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]\sigma_{\= x} = \frac{ 2.65 }{\sqrt{ 20 } }[/tex]

=>  [tex]\sigma_{\= x} = 0.5926[/tex]

Generally for  [tex]\= x[/tex] to fall within 0.5 of the true mean the [tex]\= x[/tex] must be within

     [tex]a = \mu + 0.5[/tex]

=>   [tex]a = 69.5 + 0.5[/tex]

=>   [tex]a = 70[/tex]

or  [tex]b = \mu -0.5[/tex]

=>    [tex]b = 69.5 -0.5[/tex]

=>    [tex]b = 69[/tex]

Generally the probability that  [tex]\= x[/tex] fall with 0.5  of the true mean is mathematically represented as

     [tex]P( 69 < \= X < 70) = P(\frac{69 - 69.5 }{ 0.5926} < \frac{\= X - \mu }{ \sigma_{\= x} } <\frac{70- 69.5 }{ 0.5926})[/tex]

=>  [tex]P( 69 < \= X < 70) = P(-0.844 < Z < 0.844)[/tex]

=>  [tex]P( 69 < \= X < 70) = P( Z < 0.844) - P( < -0.844)[/tex]

From the z table the probability of  (  Z    < 0.844)  and   (  Z    < -0.844)  is  

     [tex]P( Z < 0.844) = 0.80067[/tex]

and

    [tex]P( Z < - 0.844) = 0.19933[/tex]

So

   [tex]P( 69 < \= X < 70) = 0.80067 - 0.19933[/tex]

=>  [tex]P( 69 < \= X < 70) = 0.60134[/tex]

The standard error of the given data comes to be 0.593.

It is given that

mean [tex]\mu[/tex] = 69.5 inch

Standard deviation [tex]\sigma[/tex] = 2.65 inch

Sample size n =20

The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation.

The standard error is given by:

[tex]SE =\frac{\sigma}{\sqrt{n} }[/tex]

[tex]SE =\frac{2.65}{\sqrt{20} }[/tex]

[tex]SE=0.593[/tex]

Hence, the standard error of the given data comes to be 0.593.

To get more about standard errors visit:

https://brainly.com/question/1191244

Answer:

12 days

Step-by-step explanation:

95÷4=23.75

285÷23.75=12

Answer:

12 days

Step-by-step explanation:

multiply by 3 to get the answer

Answer:

All real numbers are solutions.

0=0

Step-by-step explanation:

Let's solve your equation step-by-step.

x+2x−1=−8+3x+7

Step 1: Simplify both sides of the equation.

x+2x−1=−8+3x+7

x+2x+−1=−8+3x+7

(x+2x)+(−1)=(3x)+(−8+7)(Combine Like Terms)

3x+−1=3x+−1

3x−1=3x−1

Step 2: Subtract 3x from both sides.

3x−1−3x=3x−1−3x

−1=−1

Step 3: Add 1 to both sides.

−1+1=−1+1

0=0

Answer:

All real numbers are solutions.

Answer:

91.44

Step-by-step explanation:

Answer:

The game costs $48

Step-by-step explanation:

Good luck!

Answer:

Im not sure if this is correct

x=7

y=8/3

z=16/3

Step-by-step explanation:

The three equations are

x+y+z=15

x+3y=15

y+z=8

you can use substitution for the first and third equation so it would be

x+8=15

x=7

then use sub for the second equation

7+3y=15

3y=8

y=8/3

and you can finish by using sub for the third equation

8/3+z=8

3z=16

z=16/3

I hope this is correct

Answer:

You know there is a video to help and there is hints in khan Academy.

Step-by-step explanation:

Answer:

i believe its 0.22222222222 im sorry if its incorrect qwq

Step-by-step explanation:

Answer:

There are 4 microstates. A further explanation is given below.

Step-by-step explanation:

Microstates seem to be the potential energy provinces in which our framework could perhaps exist.

Now that,

These would be the microstates are the following:

Thus, there have been four microstates.

There are 4 microstates in a macrostate with two balls

learn more about the ball here: https://brainly.com/question/12201878

Answer:

So, to set up this equation, lets just say that Lucas did 5 hours of homework also. The ratio of Lucas's homework to video games is 60 minutes of homework/30 minutes of video games. If we converted the 5 hours into 300 minutes then you would multiply the 60 minutes by 5 and the 30 minutes by 5 also. You would get 300 minutes/150 minutes. Jonathan's  ratio is every 5 hours of homework/3 hours of video games. We would convert this to minutes by taking both numbers and multiplying them by 60. We would get 300 minutes/180 minutes. Using this we know that Jonathan gets more time to play video games because every 5 hours of homework he gets 180 minutes of gaming and for Lucas, every 5 hours of homework he only gets 150 minutes of gaming. I hope that this helped you!

Step-by-step explanation:

Answer:

Jonathan gets more time to play video games

Step-by-step explanation:

Using ratios

Jonathan 5:3

Lucas 2:1

Answer: Start with the parent function y=1/x^2

Add 3 to x in the denominator, because the graph is shifted left 3.

Add 1 to the fraction, because the graph is shifted up 1 unit

Step-by-step explanation:

Answer:

95 degrees

Step-by-step explanation:

The was it has been rotated

Answer:

2a +a^3 =b

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

2/10 + 5

the L.C.M = 10

(2+50)/10 =52/10

= 5.2

Hi friend! Hope this helps!

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.

Answer:

x + x - 272 = 600

Step-by-step explanation:

Let the amount raised by Kate by x and let the amount raised by Isabelle be y.

Now, we are told that Kate raised $272 more than Isabelle.

Thus, since amount raised by Kate is x, then amount raised by Isabelle is x - 272. We are told that together they raised $600.

Thus;

x + x - 272 = 600

Thus;

equation to represent the total amount of money the girls raised is;

x + x - 272 = 600

Answer:

Find the equation using slope-intercept form.

y=−3(0,−5)/4 x+y

Let us first change these fractions into each other's equivalent fractions , so that we can order them from the smallest to the largest .

[tex] (i) \: \frac{1}{2} = \frac{(1 \times 3)}{6} [/tex]

[tex]\implies \color{olive} \frac{1}{2} = \color{hotpink} \frac{3}{6}[/tex]

[tex](ii) \: \frac{1}{3} = \frac{(1 \times 2)}{6} [/tex]

[tex]\implies\color{olive} \frac{1}{3} = \color{hotpink} \frac{2}{6} [/tex]

[tex](iii) \: \frac{5}{6} = \frac{(5 \times 1)}{6} [/tex]

[tex]\implies\color{olive} \frac{5}{6} = \color{hotpink} \frac{5}{6} [/tex]

Therefore, the fractions arranged in order from the least to the greatest :-

[tex] \bold\color{hotpink} { \color{olive} = \color{hotpink} \frac{1}{3}

,

\color{olive} \frac{1}{2}

,

\color{hotpink} \frac{5}{6} }[/tex]

Answer:

(5, -3)

Step-by-step explanation:

translation rule: (x+5, y+2)

(0+5, -5+2)

(5, -3)

Answer and Step-by-step explanation:

Solution:

The equation is given by:

z – z0 = a(x – x0) + b(y – y0).

The point (1, 2, 3) is given , substitute them for x0, y0 and z0:

Z – 3 = a (x – 1) + b(y-2)

Both a and b should be negative, because normal vector to point in the negative x and y direction so that plane will enclose a tetrahedron with finite area in the first octant.

This will only happen if z becomes smaller as we move towards the positive x and y directions.

To find expressions for V, firstly find expression for x, y and z intercepts.

X – Intercepts (y and z = 0) : 2b +a -3 / a

y- Intercepts (x, z = 0): 2b + a- 3 / b

z – Intercepts( x, y = 0): 3 – a – 2b

The base is = (2b+a-3)2/ 2ab

Volume is 1/3 base x height, so

V (a, b) = - (2b+a-3)3 / 6ab

The gradient vector:

ΔV (a, b) = |- (3(2b+a-3)2 ab-b (2b+a-3)3)/6a2b2, (6(2b+a-3)2 ab-a(2b+a-3)3)/6a2b2| = 0

b (2b+a-3)2 [ (2b+a-3) -3a] = 0

a (ab + a-3)2 [(2b +a -3) – 6b] = 0

Where a, b not equal to 0.

We cannot solve for 2b +a-3 = 0 because, that will lead to V = 0, which is impossible.

Therefore, we only solve for second halves equations, which are system of linear equations:

-2a + 2b = 3 and a – 4b = 3

Which gives a = -3 and b = -3/2

Put in equation:

Z – 3 = -3 (x-1) – 3/2 (y-2)

3x +3/2 y +z = 9

Multiplying by 2:

6x + 3y + 2z = 18.

Answer:

Vectors [tex]p_{1} = 2+5\cdot x + 3\cdot x^{2}[/tex], [tex]p_{2} = 4+11\cdot x +6\cdot x^{2}[/tex] and [tex]p_{3} = 1+2\cdot x +x^{2}[/tex] are linearly independent.

Step-by-step explanation:

From Linear Algebra, we must remember that a set of vectors is linearly independent if and only if coefficients of its linear combinations are all zeroes. That is:

[tex]\Sigma\limits_{i=1}^{n} \alpha_{i}\cdot p_{i}= 0[/tex], where [tex]\alpha_{i} = 0[/tex]. (Eq. 1)

Where:

[tex]p_{i}[/tex] - i-th Polynomial of the set of vectors, dimensionless.

[tex]\alpha_{i}[/tex] - i-th coefficient associated with the i-ith polynomial of the set of vectors, dimensionless.

Let [tex]p_{1} = 2+5\cdot x + 3\cdot x^{2}[/tex], [tex]p_{2} = 4+11\cdot x +6\cdot x^{2}[/tex] and [tex]p_{3} = 1+2\cdot x +x^{2}[/tex] elements of the set of vectors, whose linear combination is:

[tex]\alpha_{1}\cdot p_{1}+\alpha_{2}\cdot p_{2}+\alpha_{3}\cdot p_{3}= 0[/tex]

[tex]\alpha_{1}\cdot (2+5\cdot x+3\cdot x^{2})+\alpha_{2}\cdot (4+11\cdot x +6\cdot x^{2})+\alpha_{3}\cdot (1+2\cdot x+x^{2}) = 0[/tex]

[tex](2\cdot \alpha_{1}+4\cdot \alpha_{2}+\alpha_{3})+(5\cdot \alpha_{1}+11\cdot \alpha_{2}+2\cdot \alpha_{3})\cdot x+(3\cdot \alpha_{1}+6\cdot \alpha_{2}+\alpha_{3})\cdot x^{2} = 0[/tex]

Values of coefficient are contained in the following homogeneous system of linear equations:

[tex]2\cdot \alpha_{1}+4\cdot \alpha_{2}+\alpha_{3} = 0[/tex] (Eq. 2)

[tex]5\cdot \alpha_{1}+11\cdot \alpha_{2}+2\cdot \alpha_{3} = 0[/tex] (Eq. 3)

[tex]3\cdot \alpha_{1}+6\cdot \alpha_{2}+\alpha_{3} = 0[/tex] (Eq. 4)

The solution of this system is:

[tex]\alpha_{1} = 0[/tex], [tex]\alpha_{2} = 0[/tex], [tex]\alpha_{3} = 0[/tex]

Which means that given set of vectors are linearly independent.

Answer:

x = 48, y = 70

Step-by-step explanation:

Since 2 sides are congruent, then the triangle is isosceles and the base angles are congruent, thus

x + 7 = 55 ( subtract 7 from both sides )

x = 48

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for y, that is

y = 180 - (55 + 55) = 180 - 110 = 70

The volume of the sphere and the volume of the cylinder can be

expressed in terms of their radius.

Correct response:

The given parameters are;

Radius of the sphere = Radius of the cylinder

Height of the cylinder = Diameter of the sphere

Required:

The ratio of the volume of a sphere to the volume of a cylinder.

Solution:

Let r represent the radius of the sphere, we have;

The diameter of the sphere, D = 2·r

Therefore, the height of the cylinder, h = D = 2·r

The volume of the cylinder is; [tex]V_{cylinder}[/tex] = π·r²·h

[tex]\mathrm{The \ volume \ of \ a \ sphere\ is} \ V_{sphere} = \mathbf{ \dfrac{4}{3} \cdot \pi \cdot r^3}[/tex]

Therefore;

[tex]\mathbf{\dfrac{V_{sphere}}{V_{cylinder}}} = \dfrac{\dfrac{4}{3} \cdot \pi \cdot r^3 }{\pi \cdot r^2 \cdot h} = \dfrac{\dfrac{4}{3} \cdot \pi \cdot r^3 }{\pi \cdot r^2 \times 2 \cdot r} = \dfrac{\dfrac{4}{3} }{2} =\dfrac{4}{6} = \dfrac{2}{3}[/tex]

[tex]\dfrac{2}{3} \ expressed as \ a \ ratio \ is \ 2:3[/tex]

Learn more about the volumes of solids here:

https://brainly.com/question/3376338

Answer:

$1,860

Step-by-step explanation:

Answer:

The y-intercept is 0

Step-by-step explanation:

Answer:

-6, -3, 0, 3

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation: