A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.
What percentage of the people in line waited for more than 28 minutes?
Answer:
5.48% of the people in line waited for more than 28 minutes
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 waiting time of 20 minutes with a standard deviation of 5 minutes.
This means that [tex]\mu = 20, \sigma = 5[/tex]
What percentage of the people in line waited for more than 28 minutes?
The proportion is 1 subtracted by the p-value of Z when X = 28. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 20}{5}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
As a percentage:
0.0548*100% = 5.48%
5.48% of the people in line waited for more than 28 minutes
will give brainliest and 50 points
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.
when you divide -8/2=-4 and 2/2=1
-4<1
when you divide by a negative number your sign changes
4>-1
When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.
Answer:
see below
Step-by-step explanation:
When multiplying or dividing an inequality by a positive, the inequality remains the same direction
3x < 6
Divide by 3
3x/3 < 6/3
x <2
When multiplying or dividing an inequality by a negative, the inequality changes direction
-3x < 6
-3x/ -3 > 6/-3
x > -2
can someone please help me with this math question
Answer:
Step-by-step explanation:
A). From the table of relative frequencies,
Let the relative frequency of women who prefer mineral water = x
Total of relative frequencies of women preferring purified water and mineral water = 0.59
Since, Total of relative frequencies of women who prefer purified water and mineral water = Relative frequency of women preferring purified water + Relative frequency of women preferring mineral water
0.59 = 0.14 + x
x = 0.59 - 0.14
x = 0.45
B). Relative frequency of men who prefer mineral water = 0.13
Let the frequency of men who prefer mineral water = x
Since, relative frequency = [tex]\frac{\text{Frequency}}{\text{Total of frequencies}}[/tex]
0.13 = [tex]\frac{x}{200}[/tex]
x = 200 × 0.13
x = 26
Therefore, number of shoppers who are men and prefer mineral water = 26
The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?
A.
F(x) = –x2 – 3
B.
F(x) = x2 – 3
C.
F(x) = –(x + 3)2
D.
F(x) = –(x – 3)2
Answer:
the answer is A
Step-by-step explanation:
The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?
The function that represents the situation is F(x) = -x² - 3.
The correct option is A.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The value of k can find the direction of shift:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
Given that the parent function is g(x) = x².
To find the transformed function F(x):
The function's diagram is in the opposite direction.
That means the function is -x².
And the function is shifted 3 units down vertically.
From the definition the required function is,
F(x) = -x² - 3.
Therefore, F(x) = -x² - 3.
To learn more about the transformation on the graphs;
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Cuantos kilogramos hay en 20 miligramos?
HELPPP PLSSS!!!!!!!!!! QUICK!!!!!!! ILL GIVE BRAINLEST
Answer:
76
Step-by-step explanation:
Type CIRCLE WORD if the statement is correct. FALSE if its not.
2:A circle is an angle formed by two radii
3:Every diameter is also called a chord
4:A center is any point on the circle
5:The vertex of inscribed angles lies on the center of a circle
Please answer this now!! As soon as possible i have only 3 minutes!
Answer:
2 ONE IS TRUE AS IT HALF THE DISTANCE BETWEEN THE CIRCLE IS CALLED RADIUS AND FULL DISTANCEIS CALLED RADII WHICH MEANS PLULAR OF RADIUS
Step-by-step explanation:
ESTION 4
en: f(x)=2-x +1
Determine the coordinates of the y-intercepts
need this done in five omgg pls help 19 points
6.64mm² multiply the cm and get that
Find the value of x.
Answer:
49°
Step-by-step explanation:
x= 90-41 = 49°
---------
Answer:
I would assume x = 49° since 49+41=90 and it appears to be a 90° angle
please answer this question
Answer: 12
Step-by-step explanation:
why are video games so overrated nowadays
Answer:
This statement........... can't be more wrong
Step-by-step explanation:
It's 2021, Corolla Virus is out there, most people stay indoors. And what is one of the most common things to do indoors? PLAY VG. So they aren't overrated, they have just become more popular.
-45, -16,-9 ,7,33 least to greatest
Answer:
-45 -16 -9 7 33
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFraction one-fourth EndFraction left-parenthesis x minus 12 right-parenthesis.(x – 12). What is the standard form of the equation for this line?
Given:
The line passes through the two points (–4, –3) and (12, 1).
The point-slope form of the equation of the line is:
[tex]y-1=\dfrac{1}{4}(x-12)[/tex]
To find:
The standard form of the equation for this line.
Solution:
The standard form of a line:
[tex]Ax+By=C[/tex]
The given point-slope form of the equation of the line is:
[tex]y-1=\dfrac{1}{4}(x-12)[/tex]
Multiply both sides by 4.
[tex]4(y-1)=(x-12)[/tex]
[tex]4y-4=x-12[/tex]
[tex]-4+12=x-4y[/tex]
[tex]8=x-4y[/tex]
Interchanging the sides, we get
[tex]x-4y=8[/tex]
Therefore, the standard form of the equation for this line is [tex]x-4y=8[/tex].
y = one-fourth x minus three-fourths got it on the edge
A computer cost $800. It loses 1/4 of its value every year after it is purchased. complete the table to show the value of the computer at the listed times. Write an equation representing the values, v, of the computer, years after it is purchased. Used your equation to find v when t is 5. What does this value of v mean?
Answer:
The value after 0 years = $ 800
The value after 1 year = $600
The value after 2 years = $450
The value after 3 years = $337.5
The value after n years = computer cost at (n-1) year -
Step-by-step explanation:
he cost of computer = $ 800It losed 1/4th of value every year.The value of computer after 0 years = cost of computer = $ 800The value after 1 year = 800 - ( ) = $600The value after 2 years = 600 - ( ) = $450The value after 3 years = 450 - ( ) = $337.5The value after n years = computer cost at (n-1) year -We can conclude that -
the equation representing the value {v} of the computer, years after it is purchased as → v{x} = 800(1/4)ˣ.For {x} = 5, the value of {v} would be 0.39.What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that a computer cost $800. It loses 1/4 of its value every year after it is purchased.
We can write the equation representing the value {v} of the computer,
years after it is purchased as -
v{x} = 800(1/4)ˣ
For {x} = 5, we can write -
v{5} = 400(1/4)⁵
v{5} = 400 x 0.0009765625
v{5} = 0.39
Therefore, we can conclude that -
the equation representing the value {v} of the computer, years after it is purchased as → v{x} = 800(1/4)ˣ.For {x} = 5, the value of {v} would be 0.39.To solve more questions on functions, visit the link below-
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I need help with this question
Answer:
[tex]sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9[/tex]
Option B: 20.9°
The coordinates of 4 points are A(0,9), B(k + 1, k + 4), C(2k, k + 3) and
D(2k + 2, k + 6). Find the value(s) of k if
(a) the points A, B and C are collinear,
(b) AB is parallel to CD.
9514 1404 393
Answer:
(a) 2 or 3
(b) -13
Step-by-step explanation:
(a) A, B, and C are collinear if there is some constant 'c' such that ...
B - A = c(C - A)
This will give rise to two equations in 'c' and 'k'.
(k +1, k +4) -(0, 9) = c((2k, k+3) -(0, 9))
(k +1, k -5) = c(2k, k -6)
And the two equations are ...
k +1 = 2ck
k -5 = c(k -6)
From the first, we find ...
c = (k +1)/(2k)
From the second, we find ...
c = (k -5)/(k -6)
Equating these expressions for c gives ...
(k +1)/(2k) = (k -5)/(k -6)
(k +1)(k -6) = 2k(k -5) . . . . . . . multiply by 2k(k-6)
k^2 -5k -6 = 2k^2 -10k
0 = k^2 -5k +6 = (k -3)(k -2)
Solutions that make the factors zero are ...
k = 3 or k = 2
There are two values of k that make the points collinear: 2 and 3.
__
(b) AB is parallel to CD when the slopes of the lines between them are the same
slope of AB = (k+4 -9)/(k+1 -0) = (k -5)/(k +1)
slope of CD = ((k +6 -(k +3))/(2k +2 -2k) = 3/2
Equating these slopes and solving for k, we get ...
(k -5)/(k +1) = 3/2
2(k -5) = 3(k +1)
2k -10 = 3k +3
-13 = k
AB is parallel to CD when k = -13.
_____
The attached shows the collinear points on the red and blue lines. The points that make parallel lines are shown on the purple lines. (The purple circles correspond to points D for k=2 and 3, so are irrelevant.) Point D is not labeled with its coordinates, (-24, -7).
Provide your steps!!
•••••••••••••••••••••••••
Answer:
946 ft²
Step-by-step explanation:
28 x 7 = 196
30 x 25 = 750
750 + 196 = 946 ft²
Find the solution to the system of equations
Answer:
(-1, 1)
Step-by-step explanation:
Just look at where the two lines intersect and thats the soloution
What is the solution to 13x+5=96
Answer:
x = 7
Step-by-step explanation:
13x + 5 = 96
Subtract 5 from both sides.
13x = 91
Divide both sides by 13.
x = 7
A pinwheel's four blades are all congruent right trapezoids.
4 in
2 in
2 in
What is the combined area of the four blades, in square inches?
Answer:
[tex]Area = 24\ in^2[/tex]
Step-by-step explanation:
Given
Let
[tex]a, b \to[/tex] opposite sides of each trapezoid
[tex]h \to[/tex] height
[tex]a = 2; \ \ \ b = 4 \ \ \ \ h = 2[/tex]
See attachment for trapezoids
Required
The combined area of the 4
First, we calculate the area of 1
[tex]Area = \frac{1}{2}(a + b) * h[/tex]
So:
[tex]A_1 = \frac{1}{2}(2 + 4) * 2[/tex]
[tex]A_1 = \frac{1}{2}*6 * 2[/tex]
Using a calculator
[tex]A_1 = 6[/tex]
The combined area is:
[tex]Area =n * A_1[/tex]
Where
[tex]n = 4[/tex] --- 4 blades
So:
[tex]Area = 4 * 6[/tex]
[tex]Area = 24\ in^2[/tex]
In parallelogram ABCD, AC=87.5 and BC=52.5. If ABCD is a rectangle, find AB.
Solve the equation
X/x+2 - 4/x-2=1
Answer: - 2/3 but in decimal form it is -0.6 repeating
Step-by-step explanation:
Pat and Rick are sales associates at a store. Pat makes 2 sales for every 3 customers that he helps. Rick makes 3 sales for every 4 customers that he helps.
Pat
Sales Customers
2 3
4
6
8
Rick
Sales Customers
3 4
6
9
12
Complete the ratio tables for Pat and Rick by entering the missing value in each box.
(4,
)
(6,
)
(8,
)
(6,
)
(9,
)
(12,
)
Answer:
Step-by-step explanation:
Are the equations 3x=−9 and 4x=−12 equivalent? Explain.
yes they are
Step-by-step explanation:
Yes they are equivalent. You get -3 when you try solving the actual equation.
2x1= how much answer
Answer:
2X1 = 2
Step-by-step explanation:
When multiplying a number times 1 it Would stay the same as the first number was before 1 number over that and It would end up equaling an actual number like for example 2x2 = 4 confused on how you got 2x1 as 2? Well simple let me explain it more with other equations 7x1 = 7 4x1 = 4 20x1 = 20 you see?
Find the value of x. Only need 7 and 9 answered.
Answer:
Step-by-step explanation
7.
[tex]\frac{6}{6+6} =\frac{8}{8+8} =\frac{7}{x} \\\frac{1}{2} =\frac{7}{x} \\x=7*2=14[/tex]
9.
[tex]\frac{x+1}{12} =\frac{x-1}{8} \\12x-12=8x+8\\12x-8x=8+12\\4x=20\\x=20/4=5[/tex]
Decrease £2123 by 8%
Give your answer rounded to 2 DP.
Answer:
1917 when reduced by 8 then rounded is 2020
Step-by-step explanation:
find the answer of
31050×2³
If you place a 38-foot ladder against the top of a 32-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer: 20.5
Step-by-step explanation:
The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
In the event that you place a 38-foot stepping stool against the highest point of a 32-foot building.
Let 'x' be the horizontal distance on the ground. Then the equation is given as,
38² = 32² + x²
Simplify the equation, then we have
1444 = 1024 + x²
x² = 420
x = 20.5 feet
The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.
More about the Pythagoras theorem link is given below.
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