Answer:
C = 75 in
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.
This means that [tex]\mu = 69, \sigma = 2.9[/tex]
Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.
This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 69}{2.9}[/tex]
[tex]X - 69 = 1.96*2.9[/tex]
[tex]X = 74.7[/tex]
Rounded to the nearest inch,
C = 75 in
Timo was curious if quadrilaterals LMNR and PQNO were similar, so he tried to map one figure onto
the other using a rotation and a dilation.
M
N
LO
R
Q
Timo concluded:
"It's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations,
so the quadrilaterals are not similar."
Answer:
c
Step-by-step explanation:
The two quadrilaterals LMNR and PQNO are not similar. Timo tried to map one figure onto the other using rotation and dilation methods. He concluded that they are not similar because the rigid transformations like rotation preserve congruence and dilation will not change the shape but it changes its size. So, this results in no congruence.
What is rigid transformation?Rotations, reflections, and translations are known as rigid transformations. They do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.What is dilation?Dilation is not a rigid transformation, since they change the size of a figure. Dilation would not change the shape but changes the sizeThis would give us a similar, but not congruent figure.Here Timo used rotation and dilation on the two quadrilaterals LMNR and PQNO. So, this resulted in a change in the size of the quadrilaterals. Because of this, Timo concluded that "it's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations, so the quadrilaterals are not similar".
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ABC is a straight line.
빙
A
в с
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
mi
i
answe ac
Step-by-step explanation:because 827.0837
which one is greater 3 with the power of 2 or 2 with the power of 3 tell me why
Answer:
3 with the power of 2
Step-by-step explanation:
This is greater because when you multiply 3 by 3 you get 9, and when you multiply 2 x 2 x 2 you get 8
help me pls i need help asap
Answer:
no babe
Step-by-step explanation:
Determine the domain and range of the graphed function.
A) domain: (-∞, ∞) range: (-∞, 10)
B) domain: (-∞, ∞) range: (-∞, 10]
C) domain: (-∞, 10) range: (-∞, ∞)
D) domain: (-∞, 10] range: (-∞, ∞)
Answer:
B
Step-by-step explanation:
We assume the function goes infinitely both "left" and "right" so the domain is (-inf, inf).
We can also see that it has a maximum in (0, 10), so it takes all the values from -inf to 10 exactly. If it never reached 10, it'd be (-inf, 10) but it does, so it's (-inf, 10].
If 120 L of an acid solution is 75% acid, how much pure acid is there
in the mixture?
Answer:
25% or 30L
Step-by-step explanation:
100% is 120L, we know 75% is acid, we need the other 25% to make the 100%. 25% of 120 is 30, so 30 liters is pure acid
F(x)= 3x +15 reflect over the X axis what is the y intercept
Answer:
y is 15 x is 3
Step-by-step explanation:
how do I simify by combining like terms
Answer: Like terms are combined together in algebraic expression so that the result of the expression can be calculated with ease. For example, 7xy + 6y + 6xy is an algebraic equation who's like terms are 7xy and 6xy. Therefore, this expression can be simplified by combining like terms as 7xy + 6xy + 6y = 13xy + y.
Step-by-step explanation:
Answer:
If in a equation there are numbers that have the same letters you can just add them or subtract them depending on the signs.
Step-by-step explanation:
For example this equation:
2x + 7b - 7x + 9b + 1a - 22a
So you just put them in different categories(Remember to bring them with the sign that's in front of each number) after that you just add or subtract them
category x(only numbers that have x's go here): +2x-7x = -5x
category b (only numbers that have b's go here): +7b+9b = +16b
category a (only numbers that have a go here): +1s-22b = -21a
now just put them in the same equation:
-5x+16-21a
and done!^^
Hope this example helped~
What are the advantages and disadvantages of bar chart
Answer:
Advantages:
● Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.
● They're simple to make and most people have experience creating and understanding them from school.
● They can help in presenting very large or very small values more emphatically.
Disadvantages:
● Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value.
● Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensional.
I hope it's helpful!
Answer:
Advantages:
Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.They're simple to make and most people have experience creating and understanding them from school.They can help in presenting very large or very small values more emphatically.Disadvantages:
Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value. Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensionalExplain your answer !!
Have a nice day
Will give braisnlt
Answer:
(B)
b + t = 15
2b + 3t = 45
Step-by-step explanation:
Bicycles and tricycles are represented by the letters b and t respectively.
total no of bicycles and tricycles = 15
So,
b + t = 15
Each bicycle has 2 wheels and each tricycle has three wheels.
So,
No of wheels in b bicycles = 2b
No of wheels in t tricycles = 3t
Total no of wheels = 45
So,
2b + 3t = 45
find the image of ( 1 , 2 ) after a reflection about y = x followed by a reflection about y = - x
PLS ONLY ANSWER IF YOU KNOW THE ANSWER.
Answer:
(-1,-2)
Step-by-step explanation:
Think of the line y=x as a mirror. The image of the point (1,2) is obtained by drawing a line through (1,2) perpendicular to the line y=x and finding the point on the perpendicular line that is equal distance from the line y=x but on the other side. This gets you to the point (2,1).
Similarly, from (2,1) find the mirror image using the line y=-x as the mirror. You travel diagonally 1.5 diagonal squares to reach y=-x and then continue another 1.5 diagonals to reach (-1,-2) which is your answer.
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Answer:
Step-by-step explanation:
slope (m) = 1
y-intercept (c) = - 1
Writing in slope intercept form
y = mx + c
y = x - 1
hope it helps :)
Question is the answer someone please help me!!!!
Answer:
Min = 3
Max = 11
First Quartile = 6
Median = 7
Third Quartile = 9
Step-by-step explanation:
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Answer:
Your welcome
Step-by-step explanation:
Erven is painting canvases. Each canvas requires 4 ounces of paint. He has 21 ounces of paint. What
is the greatest number of canvases Erven could paint?
QUICKKKK PLEASEEE AND IN FRACTIONS
Answer:
5 1/4
Step-by-step explanation:
If each canvas takes up 4 oz of paint then you should take 21 and divide it by 4 to get the answer. Erven can only paint 5 full canvases and 1/4 of another canvas.
What is 7.8 * 7.8 * 7.8 * 7.8 * 7.8 as a power
Answer:
7.8^5
Step-by-step explanation:
What is the greatest common factor of the terms of the polynomial below? 8x^4 - 12x^3 + 20x^2
Answer: I think the greatest common factor is 4x^2
Step-by-step explanation:
Find the numerical common factors. Which are 8, -12, and 20. Find the variable common factors for x^4, x^3, and x^2. Multiply them together. Then break down the factors on both sides and pick the biggest one. Finally multiply them together. (I’m sorry, I’m very bad at explaining things.)
a movie poster is 10 in long and 22 inch tall what is th are of this poster
Answer:
220
Step-by-step explanation:
Area = length · width
Area = 22 · 10
Area = 220
Note:
Please mark as Brainliest! <3
Find the exact value of each of the remaining trigonometric functions of theta.
Rationalize denominators when applicable.
sin theta= [tex]\sqrt{\frac{3}{7} }[/tex] given that theta is in quadrant I.
cos theta=
csc theta=
sec theta=
tan theta=
cot theta=
Answer:
See answers below
Step-by-step explanation:
Given that sin theta = √3/√7
Opposite =√3
Hypotenuse = √7
Get the adjacent
Adj² = (√7)²-(√3)²
Adj² = 7-3
Adj² = 4
Adj = √4
Adj = 2
Cos theta = adj/hyp = 2/√7
csc theta= 1/sin theta = 1/(√3/√7) =
√7/√3
sec theta= 1/costheta = 1/(2/√7) = √7/2
tan theta= opp./adj = √3/2
cot theta =1/tan theta = 1/(√3/2) = 2/√3
= 2√3/3
Terrence cuts a piece of cake for himself.
Answer the following 2 questions regarding this piece of cake.
The first thing you need to notice on this prism is that the base of this prism is actually a triangle, making it a triangular prism. This is because the triangles are the only sides that are parallel to each other.
What is the area of the triangular base?
Answer: cm2
Answer:
Disect the shape
Step-by-step explanation:
6 x 10 x 18 ÷ 2 = (Answer)
Andy's little brother has a toy box that
contains 2 blue race cars, 1 green race car,
and 1 red race car. Andy removes 2 race cars
from the toy box without looking. If Andy
removes a blue car first and does not replace
it, which best represents the sample space
for the cars Andy removes?
Answer:
c.
Step-by-step explanation:
The solution is Option C.
Sample space is set A = { blue , blue } , { blue , green } , { blue , red }
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the sample space be represented as set A
Now , the equation will be
The number of blue cars = 2 blue cars
The number of green cars = 1 green car
The number of red cars = 1 red car
So , the total number of cars = 2 + 1 + 1 = 4 cars
Now , Andy removes 2 race cars from the toy box without looking
Let the first removed car be a blue car
So , the second car can have any value including a blue , green or white
And , the sample space is given by set A
Set A = { blue , blue } , { blue , green } , { blue , red }
Hence , the set is { blue , blue } , { blue , green } , { blue , red }
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help with math plsssssssss
money is shared out between Paul and Helen in the ratio of 3:4 Helen receives £20. How much did Helen receive?
Answer:
Step-by-step explanation:
Paul receives 3x; Helen receives 4x.
4x = £20
x = £5
Paul receives £15
Two parallel lines are cut by a transversal. Find the value of x
Answer:
x = 18
Step-by-step explanation:
you set the 2 equations equal to eachother
you minus x on both sides to get x on one side
than find the answer
Together teammates Pedro and Ricky got 2671 base hits last season Pedro had 275 more hits Ricky hits did each player have
Please help for brainliest.
Answer:
not sure but I think it's B... I'm so sorry if it's wrong!
Step-by-step explanation:
Nice to meet you❤️
HEY PLEASE HELP ME ASAP I NEEEEEED HELP
what is (-9 - 6 x 5) x 10 = ?
Answer:
-390 is your answer
Answer:
Step-by-step explanation:
PEDMAS - Parenthesis , Exponents , Division, Multiplication , Addition and subtraction.
(-9 - 6 *5) *10 = (-9 - 30) *10
= -39 *10
= -390
find the area
__________
Answer:
21+10.5
=31.5 ²
....
...
....
Solve for x.
x + 9x = 0
O A.
0,-9
OB.
0,9
O C.
1, -9
OD.
1,9
Reset
Answer:
A. 0, - 9
Step-by-step explanation:
Given
x² + 9x = 0
x (x + 9 ) = 0
Either
x = 0
or,
x + 9 = 0
x = - 9
Hope it will help :)
The values of x that satisfy the equation x² + 9x = 0 are x = 0 and x = -9.
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
x² + 9x = 0
To solve for x, we can factor the expression:
x(x + 9) = 0
According to the zero product property, this equation is satisfied if either x = 0 or x + 9 = 0.
We have two solutions:
x = 0 or x = -9
Therefore,
The values of x that satisfy the equation x² + 9x = 0 are x = 0 and x = -9.
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please help me please i really need help please
Answer:
x= -6
y= -5
Step-by-step explanation:
(x,y) = (-6, -5)
Answer:
(-6,-5)
x=-6
y=-5
Step-by-step explanation:
9x-7y=-19
5x-3y=-15
When solving with elimination, you multiply both equations by a number to get two terms to cancel each other out.
We can try to get the y's to cancel out. The LCD of 7 and 3 is 21, so we multiply one equation by 3 and another by -7 (to get one -21y and one 21y)
{9x-7y=-19}*3=
27x-21y=-57
{5x-3y=-15}*(-7)=
-35x+21y=105
Now, we combine the two equations.
27x-21y=-57
-35x+21y=105
-8x=48
Now, solve for x.
-8x=48
x=-6
Now we can plug x into one of the original equations to get y.
I will use 9x-7y=-19.
9(-6)-7y=-19
-54-7y=-19
Add 54 to both sides.
-7y=35
y=-5
We can put these values into an ordered pair: (-6,-5).