Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation[/tex]
Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6[/tex]
Option 1 is incorrect
2) For x < 87
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1[/tex]
From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6[/tex]
Option 3 is correct
4) For x < 77
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1[/tex]
From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2[/tex]
From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect
Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.
Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.
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
Which graphs represent functions with the following key features?
positive on ()
increasing on ()
approaches 0 as x approaches
Graph U
Graph V
Graph W
Graph X
Graph Y
Graph Z
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 -∞
Math help please show work I will mark Brainlist if 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
1) Paul is buying stock to add
to his portfolio. The cost of the
stock is $60 per share. The
broker that he's buying from
also charges a processing fee
of $100.
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
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].
Evaluate y⁵ for y = 1.
● 1
● 5
● 15
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
What are the coordinates of V′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?
Answer:
(5;1)
Step-by-step explanation:
-3 means shift to the right
What is the volume of the plastic rocket???
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
work out the answer of the given fractions 3/12+1/6=
Find the missing angle in this triangle
Answer:
hope it helps
Step-by-step explanation:
124+23+x=180
x+147=180
x=180-147
x=33
cant figure this one out! will mark brainliest. also don’t have to show work if you don’t want to, i just need the answer
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
Word Problem:
Adult ticket for a football match costs $18.40 a child's ticket is $3.80 less then the adult's ticket then what will be the cost of a child's ticket ? find the total cost of ticket's of a man has to buy 5 Adult and 3 child ticket.
Answer:
the answer is 135.8 plzz mark me the brainliest
Please help, I will really appreciate all your help please :(
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
Wayne is mixing paint. He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint.
1.What percentage of the brown paint is made from red paint? ( Hint: use the ratio table and convert the fraction to percentage) Explain how you figure out
2.Wayne decides to make 12 quarts of brown paint by using the same formula as above. Will the percentage of brown paint that is made from blue paint change or stay the same? Explain your answer. (Hint: proportional table. Will the ratio/percentage of the paint change with the increase in the amount of paint used?)
Answer:
Step-by-step explanation:
2/6=33.33
In the trapezium ABCD, AB= 4 cm, BC=9 cm, CD= 16 cm, BCD=90°.
Find AD.
The value of AD will be 15 cm.
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
The angle measurements in the diagram are represented by the following expressions.
LA=5x-5°
ZB = 3x + 13°
B
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
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
5n – 300 = 1,500
5n + 300 = 1,500
5n – 200 + 100n = 1,500
5n – 100 – 200n = 1,500
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
La velocidad maxima permitida en una autopista es de 120km/h. Se considera infraccion si se sobrepasa segun al rodar el 12% de esa velocidad. A que velocidad como minimo iba un conductor que cometio una infraccion
Answer:
La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:
134.5 Km/hO si se desea un número entero:
135 Km/hStep-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:
Velocidad Máxima Permitida: 120 Km/hCausa de infracción: Sobrepasar el 12% de la velocidad máxima.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:
Velocidad límite antes de la infracción = 120 Km/h + (120 Km/h * 12%)Velocidad límite antes de la infracción = 120 Km/h + 14.4 Km/hVelocidad límite antes de la infracción = 134.4 Km/hCómo 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.
find the complement of 63°
Answer:
63=90-63= 27
Bye
In a right triangle, the hypotenuse / the opposite side is:
answer choices:
cosine
cotangent
cosecant
secant
Find the exact value, without a
calculator
711/6
sin
2
7π
tan
12
711/6
COS
2
? ] + [
- √
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).
What are trigonometric equations?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
#SPJ2
Find the values of x and y
X=
Y=
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
La Sra. Conley le pregunta a su clase qué tipo de fiesta quieren tener para celebrar su comportamiento ejemplar. De todos los estudiantes en la clase, 5 quieren una fiesta de helado, 7 quieren una fiesta de películas, 10 quieren una fiesta de disfraces y los demás están indecisos. Si el20%, quiere una fiesta de helado, ¿cuántos estudiantes hay en la clase?
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.
Please help i'm struggling with this!It's urgent!
Answer:
Step-by-step explanation:
Dilation
5x raised to 3+4 x raised to 2 - 6
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]
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
pls help me solve pls show how you got the answer
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
HELP I WILL GIVE brainly Est to whoever can answer.
Answer:
122
Step-by-step explanation:
Have a nice day :)
plz mark brainllest
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
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
What is the range of the following data?
10 20 30 40 50 60 70 80 90 100
50
20
70
60
