2. A model of a house is shown.
6x-4
+ 12x + 3
14x + 13
What is the perimeter, in units, of the model?
A. 32x + 12
B. 46x + 25
C. 50x + 11
D. 64x + 24

Answer:

A'(0,2), B(1, -2). C'(3,2)

Step-by-step explanation:

Given

[tex]A = (-4,-1)[/tex]

[tex]B = (-3,-5)[/tex]

[tex]C =(-1,-1)[/tex]

Solving (a); Graph and Label ABC

See attachment for graph

Solving (b): Graph and Label A'B'C'

Translation:

4 units right

3 units up

4 units right

The rule is:

[tex](x,y) \to (x + 4,y)[/tex]

So, we have:

[tex]A = (-4,-1)[/tex] ==> [tex](-4+4,-1) =(0,-1)[/tex]

[tex]B = (-3,-5)[/tex] ==> [tex](-3+4,-5) =(1,-5)[/tex]

[tex]C =(-1,-1)[/tex] ==> [tex](-1+4,-1) =(3,-1)[/tex]

3 units up

The rule is:

[tex](x,y) \to (x,y+3)[/tex]

So, we have:

[tex](0,-1)[/tex] ==> [tex]A' =(0,-1+3) = (0,2)[/tex]

[tex](1,-5)[/tex] ==> [tex]B' =(1,-5+3) = (1,-2)[/tex]

[tex](3,-1)[/tex] ==> [tex]C' =(3,-1+3) = (3,2)[/tex]

The coordinates of A' B' and C' are:

A'(0,2), B(1, -2). C'(3,2)

See attachment for graph

Answer:

The minimum sample size required to create the specified confidence interval is of 565.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.1 = 0.9[/tex], so Z = 1.28.

Now, find the margin of error M as such

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

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Found the standard deviation to be 1.3.

This means that [tex]\sigma = 1.3[/tex]

Error of no more than 0.07. What is the minimum sample size required to create the specified confidence interval?

This is n for which M = 0.07. So

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

[tex]0.07 = 1.28\frac{1.3}{\sqrt{n}}[/tex]

[tex]0.07\sqrt{n} = 1.28*1.3[/tex]

[tex]\sqrt{n} = \frac{1.28*1.3}{0.07}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.28*1.3}{0.07})^2[/tex]

[tex]n = 565.1[/tex]

Rounding up:

The minimum sample size required to create the specified confidence interval is of 565.

90 minus 63 equals 37

Answer:

27 degrees

Step-by-step explanation:

x together with 63deg form a right angle (90deg)

x + 63 = 90

x = 90 - 63

x = 27

Answer:

High blood pressure

Step-by-step explanation:

Possible DEATH

Answer:

High blood pressure

Step-by-step explanation:

High blood pressure is dangerous

Answer:

x=-3

Step-by-step explanation:

-15x=45

x=-45/15

x=-3

Answer:

okay x=-3

Step-by-step explanation:

-15x=45

-15/-15=45/15

x=-3

Answer:

30 foot by 20 foot

Step-by-step explanation:

1 inch = 10 inch

2 foot = d foot

Cross products: 1xd=2x10

d=20foot

1 inch = 15 inch

2 foot = d foot

Cross products: 1xd=2x15

d=30foot

Step-by-step explanation:

x+ 2(7-x) = 11

x+14-2x = 11

-x = -3

x = 3

3+ y = 7

y = 4

x + 2(22-x) = 48

x + 44 -2x = 48

-x = 4

x = -4

-4 + y = 22

y = 26

y = 45-x

x + 2(45-x) = 36

x + 90 -2x = 36

-x = 54

x = -54

-54 + y = 45

y = 99

Answer:

1. x=3 and y=4

2. x=−4 and y=26

3. x=54 and y=−9

Step-by-step explanation:

1. x+y=7;x+2y=11

Step: Solvex+y=7for x:

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute −y+7 for x in x+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

y=4

Step: Substitute 4 for y in x=−y+7:

x=−y+7  

x=−4+7

x=3(Simplify both sides of the equation)

2. x+y=22;x+2y=48

Step: Solve x+y=22 for x:

x+y+−y=22+−y(Add -y to both sides)

x=−y+22

Step: Substitute−y+22 for x in x+2y=48:

x+2y=48

−y+22+2y=48

y+22=48(Simplify both sides of the equation)

y+22+−22=48+−22(Add -22 to both sides)

y=26

Step: Substitute26 for y in x=−y+22:

x=−y+22

x=−26+22

x=−4(Simplify both sides of the equation)

3. x+y=45;x+2y=36

Step: Solve x+y=45 for x:

x+y+−y=45+−y(Add -y to both sides)

x=−y+45

Step: Substitute−y+45 for x in x+2y=36:

x+2y=36

−y+45+2y=36

y+45=36(Simplify both sides of the equation)

y+45+−45=36+−45(Add -45 to both sides)

y=−9

Step: Substitute−9 for y in x=−y+45:

x=−y+45

x=−(−9)+45

x=54(Simplify both sides of the equation)

I hope this helped!

Answer:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Step-by-step explanation:

Answer: S= 14 cm

Step-by-step explanation:

Answer: 14

Step-by-step explanation: Khan Academy

Answer:

Step-by-step explanation:

If we let the points in the first graph define the position and slope of a line through the points, this line would have a negative slope and a negative trend line.  As x increases, y decreases.

Answer: it’s A. I took the test.

Step-by-step explanation:

the Beatles are better than the stones and that is a fact

Answer:

Ejercicios Resueltos  

ANGULOS  

1. Si el complemento de ángulo x es 2x, ¿Cuál es el valor de x en  

grados?  

Solución:  

2x x 90 += °

3x 90

x 90 / 3

x 30

= °

= °

= °

2. Si el suplemento del ángulo x es 5x, ¿Cuál es el valor de x?  

Solución:  

5x+x=180

6x=180

x=180 /6

x=30

°

°

°

°

3- Determínese los dos ángulos x e y, cuya suma es 90 y cuya  

diferencia es 10 .  

°

°

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 90

x y 10

+= °

−= °

-Resolvemos el sistema. Mediante el método de suma y resta  

obtenemos:  

2x 100

x 100 / 2

x 50

= °

= °

= °

-Hacemos la sustitución del valor encontrado de x en la primera  

ecuación: 50 y 90

y 90 50

y 40

°+ = °

= °−

= °

°

∴La solución al problema es x 50 , y 40 =°= °

°

4. Hállense dos ángulos complementarios tales que su diferencia sea  

30° .  

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 90

x y 30

+= °

−= °

-Resolvemos el sistema. Mediante el método de suma y resta  

obtenemos:  

2x 120

x 120 / 2

x 60

= °

= °

= °

-Hacemos la sustitución del valor encontrado de x en la primera  

ecuación:  

60 y 90

y 90 60

y 30

°+ = °

= °−

= °

∴La solución al problema es x 60 , y 30 = °= °

°

5. Hállense dos ángulos suplementarios tales que el uno sea 20 mayor  

que el otro.  

°

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 180

x y 20

+= °

=+ °

-Resolvemos el sistema:  

(y 20 ) y 180

2y 180 20

2y 160

y 80

+ °+ =

= °− °

= °

= °

-Hacemos la sustitución del valor encontrado de y en la primera  

ecuación: x 80 180

x 180 80

x 100

+ °=

= °−

= °

°

°

∴La solución al problema es:  

x = °= ° 100 , y 180

TRIANGULOS  

1.- ¿Cuánto miden cada uno de los ángulos interiores del siguiente  

triángulo?  

Solución:  

Nota: La suma de los ángulos interiores de los triángulos es  

180° .  

((( A B C 180 ++= °

3x 5x 4x 180 ++ = °

12x 180 = °∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °

x 15 = °

∴( ( A 45 , B 75 ,C 60 =° =°= °

°

°

°

°

°

°

2.- ¿Cuánto miden cada uno de los ángulos del siguiente triángulo?  

Solución  

a) Ángulo extendido  

( ( B CBR 180 + = Esto debido a que son ángulos suplementarios  

(B 15x 60 180 + − °=

(B 180 60 15x = °+ °−

(B 240 15x = °−

b) Suma de los ángulos interiores del triángulo  

((( A B C 180 ++=

3x (240 15x) 4x 180 + °− + =

7x (240 15x) 180 + °− =

− + °= 8x 240 180− =− 8x 160°

x 7.5 =

∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °  

3.- Escribe la definición de bisectriz del triángulo.  

Es la semirrecta que biseca el ángulo, es decir, divide el ángulo  

en dos ángulos congruentes.  

4.- ¿Qué es la mediatriz de un triángulo?  

La mediatriz de un lado de un triángulo (y en general de un  

segmento de recta), es la recta perpendicular a ese lado en su  

punto medio.  

5.- ¿Que es la mediana de un triángulo?  

La mediana de un triángulo, es el segmento de la recta que une  

un vértice con el punto medio del lado opuesto.  

CUADRILATEROS  

1.- ¿Qué cuadrilátero tiene las dos diagonales iguales y sus lados son  

iguales dos a dos?  

Rectángulo  

2.- Si los ángulos de un cuadrilátero miden, respectivamente, 80º, 110º  

y 70º, ¿Cuánto medirá el ángulo que falta?  

100º

3.- ¿Cuál es el paralelogramo que tiene las diagonales perpendiculares?  

Rombo  

4.- ¿Cómo se llama el cuadrilátero que tiene dos lados paralelos?  

Trapecio  

5.- Encuentra el área del paralelogramo que tiene 5cm de base y 3 de  

altura  

A b*a

A 5*3

A 15

=

=

=

POLÍGONOS 1.- Cuatro ángulos interiores de un pentágono valen respectivamente  

110°, 90°, 85° y 125°. ¿Cuánto vale el quinto ángulo?  

Solución:  

Si la suma de los ángulos interiores de un polígono es:  

180°*(n-2)=180°*(5-2) = 540°, a lo que le se le resta los  

valores de los ángulos que se dieron, consecuentemente, el  

quinto ángulo vale 130°.  

2.- ¿Cuántos lados tiene, en cada caso, el polígono cuyos ángulos  

interiores suman respectivamente 1080°, 900°, 1260°?  

Solución:  

Despejando de la fórmula el valor de n, tenemos que:  

. 2

180

suma angulos n = ° + , y esto aplicado a cada valor de la suma de los  

ángulos internos, obtenemos que los valores de n son 8, 7 y 9  

respectivamente.  

3.- ¿Cuánto vale cada ángulo exterior de un octágono regular?  

Solución:  

Aplicando el teorema de que la suma de los ángulos exteriores  

de un polígono es 360°, entonces cada ángulo exterior vale  

360°/8 = 45°  

4.- Calcular los ángulos exteriores de un triángulo rectángulo que tiene  

un ángulo agudo doble del otro.  

Solución:  

Se tiene que la suma de los ángulos interiores es  

180°*(n-2)= 180° y éste a su vez es igual a 90° + x + 2x,  

despejando x de 3x = 90°, x= 30°, entonces los ángulos  

interiores son 30°, 60° y 90°, teniendo como ángulos exteriores  

150°, 120° y 90°.

Step-by-step explanation:

Answer:

Corresponding angles postulate

Answer:

definition of parrallel lines

Step-by-step explanation:

oh sorry. I understood it as parrallel

Answer:

[tex]0.64 \pm 1.645\sqrt{\frac{0.64*0.36}{50}}[/tex], option D

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

From a random sample of 50 students, she found that 32 students read at least 1 book last month.

This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Confidence interval:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.64 \pm 1.645\sqrt{\frac{0.64*0.36}{50}}[/tex]

So the correct answer is given by option D.

Answer:

10%

Step-by-step explanation:

Samantha is a business development representative

She took her client out for a dinner that costs $180.75 before taxes

She paid tax of $18.08 on the meal

The tax rate can be calculated as follows

= 18.08/180.75

= 0.1 ×100

= 10%

Hence the tax rate is 10%

Answer:

Test statistic  |Z| = 0.1040 < 1.96 at 0.05 level of significance

Step-by-step explanation:

Step(i):-

Given that a report on the nightly news broadcast stated that 10 out of 108 households with pet dogs  were burglarized

First proportion

              [tex]p_{1} = \frac{x_{1} }{n_{1} } = \frac{10}{108} = 0.0925[/tex]

Given that a report on the nightly news broadcast stated that  20 out of 208 households without pet dogs were burglarized

Second proportion

              [tex]p_{2} = \frac{x_{2} }{n_{2} } = \frac{20}{208} = 0.0961[/tex]

where

           [tex]P = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1} +n_{2} }[/tex]

         P = 0.09486

       Q = 1 - P = 1 - 0.09486 = 0.90514

Step(ii):-

Test statistic

        [tex]Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]

      [tex]Z = \frac{0.0925-0.0961 }{\sqrt{0.09486 X 0.90514(\frac{1}{108 } +\frac{1}{208 } )} }[/tex]

     Z =    -0.1040

|Z| = |-0.1040|

|Z| = 0.1040

Critical value Z = 1.96 at 0.05 level of significance

Answer:

The lowest possible IQ scores of students remaining in the class is 84.46.

The highest possible IQ scores of students remaining in the class is 115.54.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 100 and a standard deviation of 15.

This means that [tex]\mu = 100, \sigma = 15[/tex]

Find the lowest and highest possible IQ scores of students remaining in the class.

Lowest:

The 15th percentile, which is X when Z has a pvalue of 0.15, so X when Z = -1.036.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.036 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = -1.036*15[/tex]

[tex]X = 84.46[/tex]

Highest:

The 100 - 15 = 85th percentile, which is X when Z has a pvalue of 0.85, so X when Z = 1.036.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.036 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = 1.036*15[/tex]

[tex]X = 115.54[/tex]

The lowest possible IQ scores of students remaining in the class is 84.46.

The highest possible IQ scores of students remaining in the class is 115.54.

Sample space َََ َ َ َ َ َ َ َ َ َ

Answer:

The answer is a

Step-by-step explanation:

it’s a because each dude is 1/2 and you add another one half that’s one and you keep on doing until the last one.

brainliest pls

I hope this helped and was right.

Step-by-step explanation:

Length: 6

width: 4

height:3

Formula :

Volume= l x w x h

6x4x3 =72

72 x 1/2= 36in3/A

Answer:

(A)48

(B)volume of one of the small cubes is 1/64cm^3

c)3/4x1x1=3/4cm^3

Step-by-step explanation:

Answer:

18 sq ft

Step-by-step explanation: all you have to do is add the sides. 5+5=10

4+4= 8

10+8=18

This makes the most sense with the answers givin

Answer:

See explanation:

Step-by-step explanation:

1: 180-50=130

3: vertical angles are the same, therefore 50

4: 180-50=130

5: angle 1 equals angle 5, therefore 130

6: 50

7: 50, angles 6 and 7 are vertical therefore equal

8: 180-50=130

Answer:

x=3

Step-by-step explanation:

Divide both sides by 3

3(x+2)/3 = 15/3

You get x+2=5, subtract 2 from each side

x+2(-2)=5(-2)

x=3

Answer:

a= $54764.26

Step-by-step explanation:

r=R/100

r=4.5/100

r=0.045 rate per year

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.045/4)(4)(38)

A = 10,000.00(1 + 0.01125)(152)

A = $54,764.26

9514 1404 393

Answer:

  AD = 15

Step-by-step explanation:

The products of the segment lengths are the same.

  (x -2)(x +7) = 4(2x -1)

  x^2 +5x -14 = 8x -4

  x^2 -3x -10 = 0

  (x -5)(x +2) = 0

The positive solution is x=5.

Chord AD is ...

  (x -2) +(x +7) = 2x +5 = 2(5) +5 = 15

Chord AD is 15 units long.

Answer:

Step-by-step explanation:

..