Answer:
Z-score=2.361
Hence Angronius height about 2.3 S.D above the Eaters Legion soldiers
Step-by-step explanation:
Given:
Angronius's mean =105 inches
Eaters Legion soldiers mean =96.5 inches.
S.D for Eaters Legion soldiers =3.6
To Find:
What is the z score for Angronius's height
Solution:
Here z-score indicate the value of data above or below the given value hence ,it determines the given data lies how many S.D above the mean or below the mean
Z- score tell that How many S.D your data is away from mean.
So
Z-score for Angronius =105-96.5/3.6
=8.5/3.6
=2.366
Hence it tells that Angronius height about 2.3 S.D above the Eaters Legion soldiers
i.e 2.36*3.6= 8.5 above the Eaters Legion soldiers height
i.e 105 -96.5 =8.5
This value represents how many S.D did angronius are above the height of Eaters Legion Soldiers.
The z-score for Angronius's height is 2.36, indicating that he is significantly taller than the average World Eaters Legion soldier, standing 2.36 standard deviations above the mean height.
To calculate the z-score for Angronius's height, we use the formula: [tex]z = (X - [\mu]) / [\sigma][/tex], where X is Angronius's height, [tex][\mu][/tex] is the mean height of the World Eaters Legion soldiers, and [tex][\sigma][/tex] is the standard deviation of their heights.
Using the provided values, we have:
z = (105 - 96.5) / 3.6 = 2.36.
Therefore, the z-score for Angronius's height is 2.36 when rounded to the nearest hundredth. This means that Angronius is 2.36 standard deviations above the mean height of all World Eaters Legion soldiers. In terms of height, Angronius is significantly taller than the average World Eaters soldier.
an 8-pound bag of potatoes costs $18 at this price how much would 15 pounds cost?
***PLEASE HELP*** I will give you 20 Brainly points
What is the approximate surface area of the sphere?
Answer:
Option B 451.9 km^2
Step-by-step explanation:
-12x-14=-62
-12x = ?
Answer: No solution
Step-by-step explanation: -12x-14=-62-12x
You would have to simplify the -12x but you can't so this would be a no solution.
Answer:
No solution
Step-by-step explanation:
Solve: 10 sin^2(X) - 3sin(X) - 1 = 0
Let u = sin(x).
The given equation is equivalent to
(2u - 1)(5u + 1) = 0
(10u + 1)(u - 1) = 0
(5u - 1 )(2u- 1) = 0
Answer:
(2u-1)(5u+1)=0
(2u-1), sin(x)= 1/2
(5u+1), sin(x)= -1/5
The solutions to the equation:
x=pi/6 + 2kpi
x=5pi/6 +2kpi
3.34+2kpi
-0.201+2kpi
Step-by-step explanation:
Correct on edge
[tex](2u-1)(5u+1)=0(2u-1), sin(x)= 1/2(5u+1), sin(x)= -1/5The solutions to the equation:x=pi/6 + 2kpix=5pi/6 +2kpi3.34+2kpi-0.201+2kpi[/tex]
How do you know if equations are equivalent?To solve this, you need to find "x" for each equation. If "x" is the same for both equations, then they are equivalent. If "x" is different (i.e., the equations have different roots), then the equations are not equivalent.
What is an example of an equivalent equations?
For example, if we take 3x + 12 = 7x - 2 and subtract 3x from both sides and add 2 to both sides, we get 14 = 4x. In doing this, we haven't changed the solution set, so 3x + 12 = 7x - 2 and 14 = 4x are equivalent.
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There are 20 students in speech class and five speeches are given each day. What is the probability that Maria is randomly selected on the first day?
Use the drop-down menus to justify Marlena's work in
each step of the process.
Step 1:
Step 2:
Step 3:
addition property of equality
multiplication property of equality
combined like terms
Answer: additional prop
subtraction prop
division prop
Step-by-step explanation:
estimate the square root of 82 to the nearest whole number
Answer:
The square root of 82 rounded to the nearest whole number is 9.
The square root of 82 is estimated to be 9, as it falls between the perfect squares 64 and 100, which have square roots 8 and 10 respectively, and it is closer to 64.
Explanation:The square root of a number is the value that, when multiplied by itself, gives the original number. For example, the square root of 64 is 8, because 8*8 equals 64. To estimate the square root of 82 to the nearest whole number, you should locate two perfect squares that 82 falls between. The perfect squares nearest to 82 are 64 (8^2) and 100 (10^2), so the square root of 82 must be between 8 and 10. As 82 is closer to 64 than to 100, the square root of 82 would be closer to 8. Therefore, we can estimate the square root of 82 to the nearest whole number as 9.
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Solve for AD.
A) 12
B) 10
C) 8
D) 6
Answer: I believe the answer is C) 8
The pattern goes 0, 4, 8, 12
Inbetween them are 2, 6, 10
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Using the same ratio how many cups do they use with 20 tablespoons of honey?
Answer:
25 cups of flour
Step-by-step explanation:
we know that
A bakery uses 8 tablespoons of honey for every 10 cups of flour
so
using proportion
Find out how many cups they use with 20 tablespoons of honey
[tex]\frac{8}{10}=\frac{20}{x}\\\\x=10(20)/8\\\\x=25\ cups\ of\ flour[/tex]
There will be 25 cups of flour used for 20 table spoons of honey.
Number of teaspoonful of honey used:
8 spoons for 10 cups Let the Number of cups for 20 spoons = dWe can write the relation as :
8 = 1020 = d Cross multiply : 8 × d = 20 × 108d = 200Divide both sides by 8 to isolate dd = 200 ÷ 8 d = 25Hence, 25 cups of flour will be used for 20 teaspoonful of honey.
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What is the median of Miguel's data
Answer:
Where is the data
Step-by-step explanation:
If r is an integer greater than 1, what is the value of (−1)^r +1 if r is an odd integer
Answer:
zero
Step-by-step explanation:
(−1)^r when r is an odd integer greater than 1 always equals -1 then -1 + 1 = zero
Answer:
0
Step-by-step explanation:
(−1)^r when r is an odd integer greater than 1 always equals -1,then -1 + 1 =0.
Hope this helps.
PLZZ HELP!!! A graphic designer chose a base font size and represented it as 1 on the scale. He then listed some consecutive scale sizes. Two consecutive sizes were 4.096 and 6.5536.
What scale size came before 4.096?
Enter your answer, as a decimal, in the box.
Write a ratio equivalent to 17/51
Answer:
I think it’s 17:51
Step-by-step explanation:
A graphic designer chose a base font size and represented it as 1 on the scale. She then listed some consecutive scale sizes. Two consecutive sizes were 2.744 and 3.8416.
What scale size came before 2.744?
Enter your answer, as a decimal, in the box.
The scale size that came before 2.744 is 1.92.
To find the scale size that came before 2.744, we need to understand the relationship between the consecutive scale sizes. Given that the base font size is represented as 1 on the scale, and we have two consecutive sizes as 2.744 and 3.8416, we can determine the common ratio of the geometric progression that these sizes follow.
Let's denote the common ratio as r. Then, we can write the following relationship:
[tex]\[ 2.744 \times r = 3.8416 \][/tex]
Now, we solve for r:
[tex]\[ r = \frac{3.8416}{2.744} \] \[ r = 1.4 \][/tex]
Now that we have the common ratio, we can find the scale size before 2.744 by dividing 2.744 by the common ratio:
[tex]\[ \text{Previous scale size} = \frac{2.744}{1.4} \] \[ \text{Previous scale size} = 1.92 \][/tex]
im to stupit plss help
Answer:
i believe 105ft
Step-by-step explanation:
5×5=25
8×5×.5×4=80
Answer:
105
Step-by-step explanation:
What is the equation of the parabola that has its vertex at (7,6) and contains the
point (6,8)?
C A) y = 2x2 - 28x + 52
C B) y= 2x2 - 14x + 104
C) y= 2x2 - 28x+ 104
r D) y = x2 - 144+52
The solution is Option C.
The equation of the parabola is y = 2x² - 28x + 104
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the vertex of the parabola be ( h , k ) = ( 7 , 6 )
Now , the point P ( 6 , 8 ) lies on the parabola
The equation of the parabola is given by
y = a ( x - h )² + k
Substituting the values in the equation , we get
y = a ( x - 7 )² + 6
8 = a ( 6 - 7 )² + 6
Subtracting 6 on both sides of the equation , we get
2 = a ( 1 )
So , the value of a = 2
Now , the equation of parabola is
y = 2 ( x - 7 )² + 6
On simplifying the equation , we get
y = 2 ( x² - 14x + 49 ) + 6
y = 2x² - 28x + 98 + 6
y = 2x² - 28x + 104
Hence , the equation of parabola is y = 2x² - 28x + 104
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What is the angle ACB?
Answer:
∠ ACB = 56°
Step-by-step explanation:
The angle subtended at the centre AOB is twice the angle on the circumference ACB , that is
∠ ACB = 0.5 × 112° = 56°
Is y= x^2-1 a linear equation?
Answer:
no
Step-by-step explanation:
it involves a square, which when graphed, generates a curve
Answer:
NO
Step-by-step explanation:
Step 1: Determine if linear
No, since the x term is squared, that produces the bend that makes a parabola. If the x term is not squared is just by itself, that is a linear equation.
Answer: NO
Graph Below
Please I need to get this right!!
Answer:
12.56
Step-by-step explanation:
The formula for circumference is:
Circumference = Pi x Diameter
In this case the diameter is 4.
So you can simplify Pi to just 3.14 and multiply that times 4 which gives you 12.56.
Hope this helped!
Answer::25.13
Answer:25.13
Step-by-step explanation: C=2πr=2·π·4≈25.13274
This is the correct answer to the question and thats the explanation
It wont let me turn it in for some reason
The box plots show the average wind speeds, in miles per hour, for various cities in two different countries
Average Wind Speeds of Cities in Country A
Average Wind Speeds of Cities in Country B
Which statement compares the median wind speeds for the data in the two box plots?
The median wind speed for country A is greater than the median wind speed for country B.
The median wind speed for country B is greater than the median wind speed for country A
The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9
miles phour
Answer:
B
Step-by-step explanation:
2 box plots. The number line goes from 60 to 79. For the swim team, the whiskers range from 64 to 74, and the box ranges from 71 to 73. A line divides the box at 72. For the wrestling team, the whiskers range from 65 to 72, and the box ranges from 66 to 71. A line divides the box at 69.
The box plots represent heights of students on two sports teams.
What is the IQR for the swim team?
What is the IQR for the wrestling team?
Answer:
For the first question "What is the IQR for the swim team?" the answer should be the number 2. And for the second question "What is the IQR for the wrestling team?" the answer should be the number 5Step-by-step explanation:
answer :
1. the IQR for the swim team is 2.
2. the IQR for the wrestling team is 5.
What is the quotient of the division?
742 ÷ 7 = ?
Answer:
106
Step-by-step explanation:
700/7 = 100
42/7 = 6 + 100 = 106
Answer:
742÷7= 106
Step-by-step explanation:
If the initial population of panda was 100 and grew to 125 after the first year, which of the following functions best models the population of pandas P with respect to the number of years t if the population growth of pandas is considered to be linear?
A. P= 25t + 100
B.P= 100(1.25)^t
C. P= 100(1.2)^t
D.P= 20t^2 + 5t +100
Hi,
if growth continue to the same rate, meaning +25% more every year, then B is the answer :
100 (1.25)^t
The correct function that models the linear growth of the panda population is P = 25t + 100 as it correctly shows the yearly growth of 25 pandas from an initial population of 100.
Explanation:The student is given that the initial population of pandas was 100, and after one year, it has increased by 25 to 125. As the question specifies a linear growth for the pandas' population, the model that would best fit this would be a linear function. The growth per year is 25 pandas, which becomes the slope of our linear function. The initial population is the y-intercept, which is the value of P when t = 0. Thus, the correct function that models this scenario is P = 25t + 100.
Option A correctly represents the linear population growth, while the other options represent exponential or quadratic growth, and thus are not suitable models for this particular case of linear growth.
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1. Which term best describes the angle below?
O A. Acute
O B. Straight
O C. Right
O D. Obtuse
what is the vertex of the parabola
1. (-1,0)
2. (0,-3)
3. (1,-4)
4. (3,0)
Find the equation of a line that is parallel to y = 2x + 3 and passes through (-1, -1).
A) y = 2x + 1
B) y = 2x + 3
C) y = 4x + 3
D) y
Curtis rides his bike 9 miles one way then turns around and rides back. On the return trip, his speed is increased 20% because the wind is at his back. Let s be his speed in miles per hour riding against the wind. What is an expression that represents his total time in hours riding there and back?
Answer:
The expression that represents the total time of his route is "time = 16.5/s".
Step-by-step explanation:
Curti's ride has two parts, the first one which was made at a speed of "s" and the second one where his speed was 20% higher, therefore "1.2s". The total time to complete this course is the sum of the times for each part, since the average speed is given by:
time = distance/speed
Then the total time for the track is:
time = 9/s + 9/(1.2s)
Using LMC:
time = (1.2*9 + 9)/1.2s = (10.8 + 9)/1.2s = 19.8/(1.2s) = 16.5/s
The expression that represents the total time of his route is "time = 16.5/s".
Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated?
A)
(-9,-8)(-9,0)(2.-8)
b
(-9.-8)(-9. 1)(2, -8)
c
(-9.-8)(-9,0)(3.-8)
D)
(-9.-8)(-9. 1)(3. -8)
Can someone please answer this
Answer:
Stairs come in many different forms, and while building a basic staircase may appear to be a simple task, there are actually a number of parameters, calculations, and building codes that must be considered. These range from the length, width, and height of specific parts of the stairs, to where doors are placed in relation to stairs; the arc of a door must be completely on the landing or floor and not be allowed to swing over steps. Below is a list of some of the most common terminology regarding stairs, as well as some commonly used building codes. Building codes or requirements can differ at a local level, and a person building a staircase should refer to the codes specific to their locations.
Run/Tread: The run or tread is the part of the stairway that a person steps on. Its length is measured from the outer edge of the step, which includes the nosing if it is present, to the vertical portion of the stair called the riser. Both nosing and riser are discussed below. When measuring total run of a staircase, the length of the tread above the last riser is not included in the measurement. Also, when nosing is present, total run is not simply the sum of tread length, since the overhang caused by the nosing must be subtracted from the total run.
Building codes generally suggest that the minimum length of a tread be 10 inches (25.4 cm).
Rise/Riser: The rise, or height of a step is measured from the top of one tread to the top of the next tread. It is not the physical height of the riser because this excludes the thickness of the tread. The number of risers, not the number of treads, is used to determine the number of steps that comprise a staircase.
Building codes generally suggest that the maximum height of a riser be 7.75 inches (19.7 cm)
Nosing: The nosing is the protrusion at the edge of a tread that hangs over the riser below. Not all steps have a nosing, but when present, the nosing is included in the length of the tread. The main purpose of a nosing is to improve safety by providing extra space on which a person can place their feet.
Common building codes generally suggest that the nosing have a minimum length of 0.75 inches (1.9 cm) and a maximum length of 1.25 inches (3.2 cm).
Headroom: Headroom is the height measured from the top of a tread to the ceiling above it. While building codes for headroom are primarily intended to ensure enough room for people to comfortably use the stairs, the codes typically require far more room than the average height of a person to allow for moving larger objects such as furniture.
Building codes generally suggest at least 6 ft. 8 inches (203.2 cm) of stair headroom.
Stair Width: Stair width is measured from edge to edge of each side of the tread, perpendicular to tread length. While measurements of length are conventionally longer than those of width when considering rectangles, in the case of steps, the width is usually the longer side. Stair width does not include handrails.
Building codes generally suggest that stairs be at least 36 inches (91.44 cm) wide.
Handrails & Guards/Guardrails: A handrail is a railing that runs up a stair incline for users to hold when ascending or descending a staircase. A guard is "a building component or a system of building components located near the open sides of elevated walking surfaces that minimizes the possibility of a fall from the walking surface to the lower level." Guards can include rails (guardrails), but can be any number of other constructions such as walls, half-walls, or even a bench.
Building codes generally require guards for stairs that have a total rise of more than 30 inches above the floor, and require that these guards be at least 34 inches (86.36 cm) in height measured from the top of the treads. Similarly, handrails must be between 34 and 38 (96.52) inches high measured from the top of the treads, with a diameter between 1.25 inches (3.18 cm) and 2.675 inches (6.79 cm).
Stringer: A stair stringer is a structural member that supports the treads and risers of a staircase. Typically, there are three in a staircase: one on each side, and one in the middle. Stringers are not always visible, but can be seen on stairs with open sides. The stringers can either be cut to the shape of each step, or in some cases are uncut and conceal the edges of the treads.
Step-by-step explanation:
Internet
A kite was broken into two triangles.
A kite is broken into 2 triangles. Both triangles have a base of 16 centimeters and a height of 5 centimeters.
The height of the triangle h is
cm.
Step-by-step explanation:
A kite is broken into two triangles
Given the base of the traingle, b = 16 cm
Height of the triangle, h = 5 cm
Area of traingle = [tex]\frac{1}{2} (b.h)[/tex]
= [tex]\frac{1}{2} (16) (5)[/tex]
= 40 [tex]cm^{2}[/tex]
Area of the kite = area of triangle 1 + area of triangle 2
= 40 + 40
= 80 [tex]cm^{2}[/tex]
Answer:
its five
Step-by-step explanation: