The class average on a math test was an 82 with a standard deviation of 5. If the 
data is normally distributed, which statements are true?

1. A student scoring a 74  would have a z -score of -1.6.
2. About 68% of the students  scored below an 87.
3. A z-score of 2.6 would be a test 
score of 95.
4. About 16% of the class  scored a 77 or below.
45. About 25% of the class  scored above a 92.

Answer:

The answer to calculate this will be:

5

π

6

The required value of tan(7π/12) = √[(2+√3)/(2-√3)].

To find the exact value of tan(7π/12).

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]

tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
                 =  √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]

                  =  √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
                 =  √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]

Here, cos( π/6 ) = √3/2
                  =  √ [ (1 + √3/2 ) / (1 - √3/2 ]
                 =  √ [ (2 + √3)/2  / (2- √3)/2 ]
                 = √ [ (2 + √3) / (2- √3) ]

Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].

Learn more about trigonometry equations here:

https://brainly.com/question/22624805

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Answer:

A) 151 in³ or 151 cubic inches

Step-by-step explanation:

Volume of rocket = Volume of Cylinder + Volume of Cone

Step 1

Find the volume of the cylinder

Volume of a cylinder = πr²h

r = Diameter/2

= 5/2 = 2.5 inches

h = 6 inches

Hence,

π × 2.5² × 6

= 117.81 cubic inches

Step 2

Find the volume of the cone

Volume of a cone =1/3 πr²h

h = 11 inches - 6 inches

= 5 inches

r = 2.5 inches

Hence,

1/3 × π × 2.5² × 5

= 32.72 cubic inches

Therefore:

Volume of rocket = Volume of Cylinder + Volume of Cone

= 117.81 cubic inches + 32.72 cubic inches

= 150.53 cubic inches

Approximately to the nearest inch = 151 in³ or 151 cubic inches

Option A is correct

Answer:

Step-by-step explanation:

(2). 1 yd ≈ 0.9144 m

1 yd³ ≈ 0.76455 m³

2 yd³ ≈ 1.53 m³ ≈ 2 m³

(3). 1 ft ≈ 0.3048 m

1 ft² ≈ 0.0929 m²

162 ft² ≈ 15.1 m²

(4). 1 mi ≈ 1.60934 km

1 mi² ≈ 2.59 km²

503 mi² ≈ 1302.8 km²

Answer:

Step-by-step explanation:

Dilation

Step-by-step explanation:

the answer is number a 88 CM square

hey, if the volume is 8cm^3, each side will be 2 cm, why? because 8√3 equals 2. or 8=2×2×2.

so each side equals 2.

to calculate the surface area, we need to calculate one square's area and multiples it by the number of the surfaces.

to calculate a square's area: 2×2=4

so each square has the surface of 4cm^2

now we count to see how many squares do we have.

we've got 22 surfaces.

so 22×4=88cm^2

then option C is the answer

my mother tongue isn't English so my apologies if I couldn't explain well

Answer:

En la clase hay 25 alumnos.

Step-by-step explanation:

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.

De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?

[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]

totalidad de los alumnos= 25

En la clase hay 25 alumnos.

Answer:

x=9

Step-by-step explanation:

angle A =angle B (because they are corresponding angles)

5x-5=3x+13

5x-3x=13+5

2x=18

x=18/2

x=9

angle A=5x-5

=5*9-5

=45-5

=40

angle B=3x+13

=3*9+13

=27+13

=40

Answer:

A = B

5X-5 = 3X+13

5X-3X. =13+5

2X =18

X = 9

5X-5

(5×9)-5

45-5

=40

ANGLE A=ANGLE B =40

The value of AD will be 15 cm.

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

Graph U

Step-by-step explanation:

A graph is used to illustrate the relationship between variables.

For graph U:

Graph U is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph approaches 0 as x approaches -∞.

For graph V:

Graph V is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞.

For graph W:

Graph W is positive on (-∞, 0). The graph also increases on (-∞, 0). The graph approaches 0 as x approaches -∞.

For graph X:

Graph X is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞

For graph Y:

Graph Y is positive on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph approaches 0 as x approaches ∞.

For graph Z:

Graph Z is negative on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph is approaches 0 as x approaches -∞

Answer:

hope it helps

Step-by-step explanation:

124+23+x=180

x+147=180

x=180-147

x=33

Answer:

1

Step-by-step explanation:

if y = 1 then [tex]y^{5} = 1 . 1 . 1. 1.1 = 1[/tex]

Answer: 1

Step-by-step explanation:

its just 1 because you just multiplied 1 by1 5 times

Answer:

La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:

O si se desea un número entero:

Step-by-step explanation:

Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:

Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:

Cómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.

Answer:

[tex]125x^3 + 16x^2 -6[/tex]

Step-by-step explanation:

Given :

5x raised to 3 , that is =

                             [tex](5x)^3 = 5^3 \times x^3 = 125 x^3[/tex]

4x raised to 2 , that is =

                             [tex](4x)^2 = 4^2 \times x^2 = 16 x^2[/tex]  

Final step : (5x raised to 3) + ( 4x raised to 2) - 6, that is =

                                                                                [tex](5x)^3 +(4x)^2 - 6 \\\\=125x^3 + 16x^2 -6[/tex]

Answer:

122

Step-by-step explanation:

Have a nice day :)

plz mark brainllest

Answer:

x = 7

y = 4

Step-by-step explanation:

y + 12 = 3x - 5

5y - 4 = 3x - 5

So y + 12 = 5y - x

To solve the equation above, y =4

Sub y = 4,

x = 7

Answer:

a = -24

Step-by-step explanation:

a / -3 - 2 = 6

a/-3 = 8

a = -3 * 8

a = -24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: a= -24

a/-3- 2=6

      +2   +2

a/-3=8

   *3  *3

a= -24

Answer:

(5;1)

Step-by-step explanation:

-3 means shift to the right

Answer:

should be y=-2/1x+2

Step-by-step explanation:

because the slope is going down 2 over 1 and the y-intercept is at positive 2

Answer:

the answer is 135.8 plzz mark me the brainliest

Given:

The equations are:

[tex]a=b+9[/tex]

[tex]b=c-2[/tex]

To find:

The equation that show the relationship between a and c.

Solution:

We have,

[tex]a=b+9[/tex]               ...(i)

[tex]b=c-2[/tex]               ...(ii)

Equation (i) can be rewritten as:

[tex]a-9=b[/tex]              ...(iii)

From (ii) and (iii), we get

[tex]a-9=c-2[/tex]

[tex]a-c=9-2[/tex]

[tex]a-c=7[/tex]

Therefore, the required equation is [tex]a-c=7[/tex].

Answer:

Step-by-step explanation:

2/6=33.33

Answer:

6 boxes wide

6 boxes wide

or 2high 2high 2high 2high 2high 2high

Step-by-step explanation:

6 wide and 6 wide to make 12. 6x2=12

2 high ×6 2×6=12

Answer:

63=90-63= 27

Bye

Answer:

[tex]y=\frac{6}{5}x-5[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the two given points (0,-5) and (5,1)

[tex]m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}[/tex]

Therefore, the slope of the line is [tex]\frac{6}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{6}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{6}{5}x+b[/tex]

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

[tex]y=\frac{6}{5}x-5[/tex]

I hope this helps!

Answer:

y = 6/5x - 5

Step-by-step explanation:

To find the equation of a linear line you need 2 things: the slope and the y-intercept.

The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.

The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.

So you get y = 6/5x - 5.

Here is standard form too if you need this instead: 6x - 5y = 25

Answer:

The first one, A

Step-by-step explanation:

DJ costs $300 in total.

For every student there is $5.

We want a profit of 1,500, so the total money earned from students attending subtracted by the costs of the DJ should be 1,500.

5n - 300 = 1,500

For the second one, it'll be the DJ giving you $300.

The last Two answers has an n where it's supposed to be money when n represents each student.

Answer:

it would be A

Step-by-step explanation: MUHAMMADO AVDOLLLLLL

Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!