Answer:
0.1416
Step-by-step explanation:
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.
The probability in a random sample of 32 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]
P-value from Z-Table:
P(x<32) =
The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.
The probability in a random sample of 36 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]
P-value from Z-Table:
P(x<36) = 0.0086945
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be
[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Pierce swims ina pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?
Answer:
B
Step-by-step explanation:
I think
In Steven's grade, 12 students are enrolled in health and 48 students are not. What percentage of the students in the school are enrolled in health?
Answer:
20%
step-by-step way
3. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polygon. F(1,2). G(3,0), H(1,-2).
Answer:
Expand on the name.......
An expression is evaluated as shown below.
8 + 3 × (4 ÷ 2) − 7
Step 1: 8 + 3 × 2 − 7
Step 2: 11 × 2 − 7
Step 3: 22 − 7
Step 4: 15
In which step does a mistake first appear?
Answer:
Step 2: 11 × 2 - 7
Step-by-step explanation:
unzsun sun dn I'd i
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
I will give brainiest to whoever answers correctly !!
WILL GIVE BRAINLIEST FOR ANSWER I’m gonna fail help please
Answer: A
Step-by-step explanation:
might as well tell ur teachers ur awesome no matter wat.
which expression has the least value when x = 100
A. 1/x
B. 10/x
C. 1-x
D. 10-x
Answer:
C. 1-x
Step-by-step explanation:
Negatives are alwys less than positives meaning a&b are out and 1-100 is -99 and 10-100 is -90 meaning that C is your answer
Andy and Jim are going to compete in the 100-meter dash against each other. Let AAA be the time it takes Andy to complete the race, and JJJ be the time it takes Jim to complete the race. Based on previous results, they know that \mu_A=11.5μ A =11.5mu, start subscript, A, end subscript, equals, 11, point, 5 seconds and \sigma_A=1σ A =1sigma, start subscript, A, end subscript, equals, 1 second. They also know that \mu_J=10.5μ J =10.5mu, start subscript, J, end subscript, equals, 10, point, 5 seconds and \sigma_J=0.5σ J =0.5sigma, start subscript, J, end subscript, equals, 0, point, 5 seconds.
Answer:
μd= 1 second
σd= square root (1.25) = √1.25 seconds= 1.1180 seconds
Step-by-step explanation:
Assume that their times are independent. Let DDD be the difference between their times in a random 100-meter dash (D=A-J)(D=A−J)left parenthesis, D, equals, A, minus, J, right parenthesis.
Find the standard deviation of DD
The mean difference is found out by subtracting the individual means.
The mean difference = μd= μA- μJ= 11.5- 10.5= 1 second
The difference standard deviation is given by the square root of sum of the individual variances divided by n. But here n1= n2= 1
σd = sqrt( σ1² / n1 + σ2 ²/ n2 )
First we calculate the variances.
Variance is the square of the standard deviation.
The variance of Andy =σA²= 1²= 1
The variance of Jim =σJ²= (0.5)²= 0.25
The standard deviation difference= σd= √σ²A+ σ²J/1= √1+ 0.25/1= √1.25/1 = √1.25 seconds = 1.1180 seconds
Help me please! I am in desperate need
Answer:
C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
Step-by-step explanation:
The binomial theorem is given as:
[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]
[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].
*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]
Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
(1,10), (18.-10) slope
Answer:
I think the slope is -20/17 hope this helps
rewrite 1/3 Barrel 2/3 hour as a unit rate
A. 4 1/2 Barrels/Hour
B. 2 barrels/hour
C. 2/9 barrel/hour
D. 1/2 barrel/hour
Answer:
c is correct answer is yes
Answer:
D. 1/2 barrel/hour
Step-by-step explanation:
What is the linear inequality of the graph shown?
Answer:
Tough to tell by just the straight graph, but the inequality will be > or < due to the dashed line
Answer:
y>4x-2
Step-by-step explanation:
Find the slope, which is 4, from (0,-2) and (1,2).
Find the y-intercept, which is -2, because it touches the y-axis at (0,-2).
We know the equation would be a greater/less than sign because the line is dashed.
To find out which sign it is, just substitute a random point from the shaded area. (I like to use (0,0)).
(0)<4(0)-2 (0)>4(0)-2
0<0-2 0>0-2
0<-2 0>-2
The one on the right, 0>-2, is true so the sign is a greater than sign.
On average, 3 percent of U.S. travelers do not show up for their flight. Suppose this probability is independent and constant across travelers. For a given flight from Seattle to San Francisco, an airline accepted a total of 103 reservations while the plane capacity is 100 seats. What is the probability that the airline will have to bump at least one passenger
Answer:
.3988 .
Step-by-step explanation:
We shall use Binomial distribution formula in the problem .
n = 103
The probability that a passenger will not miss the flight and show up = .97
The probability that a passenger will miss the flight = .03
n = 103 ,
probability of showing up 101 , 102 and 103 passengers so that at least 1 passenger will return or bump .
= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³
103 x 102 /2 .97¹⁰¹ .03² + 103 .97¹⁰² .03 + .97¹⁰³
= 5253 x .046 x .0009 + 103 x .00134 + .0434
= .2174 + .1380 + .0434
= .3988 .
The probability that the airline will have to bump at least one passenger is; 0.3988
Binomial probability distributionProbability that the travelers did not show up for the flight is; q = 3% = 0.03
Probability that they will show up for the flight is; p = 97% = 0.97
The formula for binomial probability is;P(X = r) = nCr × p^(r) × q^(n - r)
Thus, the probability that the airline will have to bump at least one passenger is;
(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)
>> 0.2174 + 0.1380 + 0.0434
>> 0.3988
Read more on binomial probability at; https://brainly.com/question/15246027
EMERGENCY HELP PLEASE
Answer:
blue= x
pink=2x
green= 4x
orange=8
=
7x+8
Step-by-step explanation:
Solve the system of linear equations.
y = -2x - 4
y = 2x – 4.
The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The linear equations are given below.
y = -2x - 4 ...1
y = 2x - 4 ...2
From equations 1 and 2, then we have
2x - 4 = - 2x - 4
4x = 0
x = 0
Then the value of the variable 'y' is calculated as,
y = 2(0) - 4
y = - 4
The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
What is the probability of picking one blue marble out of a bag containing 4 red, 5
blue, and 1 yellow marble?
Answer: 50:50
Step-by-step explanation:
How does the structure of a leaf enable photosynthesis to take place?
PLEASE HELP I KNOW THIS IS NOT FOR MATH BUT I DID NOT FIND SCIENCE :(
Answer:
Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.
pls help, you have to write in fraction form.
Answer:
42/145
Step-by-step explanation:
i tried might be wrong
Alonso signed up for a streaming music service that costs $8 per month. The service
allows Alonso to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.50 per song. How much total money would
Alonso have to pay in a month in which he downloaded 40 songs? How much would
he have to pay if he downloaded s songs?
Answer:
0.5s + 8 is the cost if he downloaded s songs
$28 is the cost for downloading 40 songs
Step-by-step explanation:
First, create an equation to represent the cost where s is the number of songs
Since it is 0.50 per song, the cost per song can be represented by 0.5s. Then, add 8 to this in the equation to represent the monthly fee.
Put this together:
0.5s + 8 is the cost if he downloaded s songs
Plug in 40 as s to find the cost for 40 songs downloaded:
0.5s + 8
0.5(40) + 8
20 + 8
= 28
So, the cost for downloading 40 songs is $28
Answer:
28
Step-by-step explanation:
40 downloaded songs times .50 = 20 dollars plus the 8 dollars he pay every mouth so it's 28 dollars that mouth where he downloaded 40 songs.
y = s x .50 + 8
Convert 11/3 from an improper fraction into a mixed number
Answer: 3 2/3
Step-by-step explanation:
how many groups of 3 can u make out of 11 units? Answer: 3
Rest overs: 2/3
Answer:
3 2/3
Step-by-step explanation:
3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3
The quotient of 3 times a number n and 6 is 8. What is the value of n?
A.
24
B.
48
C.
4
D.
16
Answer:
d
Step-by-step explanation:
HELP PLEASE 100 POINTS PLUS BRAINLIEST, (I had the answers already but some reason they got deleted
Answer:
[tex]\mathrm{11.\:}\frac{176}{5}\pi\:\mathrm{ft^2},\\\\\mathrm{12.\:}\frac{1573}{18}\pi\:\mathrm{mi^2},\\\\\mathrm{13.\:}\frac{269.08}{24}\pi\:\mathrm{km^2}\\\\\mathrm{14.\:}\frac{252.05}{6}\pi\:\mathrm{cm^2}\\\\\mathrm{15.\:}\frac{870.75}{72}\pi\:\mathrm{yd^2}\\\\\mathrm{16.\:}\frac{5953.48}{36}\pi\:\mathrm{m^2}[/tex]
Step-by-step explanation:
The area of a sector can be given as:
[tex]\frac{c^{\circ}}{360^{\circ}}\cdot r^2\pi[/tex], where [tex]c[/tex] is the angle of the sector in degrees.
Problem 11:
[tex]\frac{88^{\circ}}{360^{\circ}}\cdot 12^2\pi=\fbox{$\frac{176}{5}\pi\:\mathrm{ft^2}$}[/tex]
Problem 12:
[tex]\frac{260^{\circ}}{360^{\circ}}\cdot 11^2\pi=\fbox{$\frac{1573}{18}\pi\:\mathrm{mi^2}$}[/tex]
Problem 13:
Convert radians to degrees:
[tex]\frac{7\pi}{12}\cdot\frac{180}{\pi}=105^{\circ}[/tex]
[tex]\frac{105^{\circ}}{360^{\circ}}\cdot 6.2^2\pi=\fbox{$\frac{269.08}{24}\pi\:\mathrm{km^2}$}[/tex]
Problem 14:
Convert radians to degrees:
[tex]\frac{5\pi}{3}\cdot \frac{180}{\pi}=300^{\circ}[/tex]
[tex]\frac{300^{\circ}}{360^{\circ}}\cdot 7.1^2\pi=\fbox{$\frac{252.05}{6}\pi\:\mathrm{cm^2}$}[/tex]
Problem 15:
[tex]\frac{215^{\circ}}{360^{\circ}}\cdot 4.5^2\pi=\fbox{$\frac{870.75}{72}\pi\:\mathrm{yd^2}$}[/tex]
Problem 16:
Convert radians to degrees:
[tex]\frac{13\pi}{18}\cdot\frac{180}{\pi}=130^{\circ}[/tex]
[tex]\frac{130^{\circ}}{360^{\circ}}\cdot 21.4^2\pi=\fbox{$\frac{5953.48}{36}\pi\:\mathrm{m^2}$}[/tex]
Please Help!
B belongs to AC D belongs to lineAF
Answer:
x = 27
Step-by-step explanation:
∠ CAD and ∠ EDF are corresponding angles and are congruent, so
∠ CAD = 2x
The sum of the 3 angles in Δ ABD = 180°
sum the angles and equate to 180
72 + 2x + 2x = 180
72 + 4x = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
Jenny served one scoop of ice cream to her friends using a 3/4 cup scooper. She
served herself and 4 friends ice-cream. How many total cups of ice-cream did
she serve? Your answer can be written as an improper fraction or mixed fraction
and must contain your label."
Answer:
75?
Step-by-step explanation:
1/4 = 25
25 x 3 =75
----
3/4=75
A soccer team has 12 girls and 18 boys. The team is split into groups that have the same ratio of girls to boys as that of the whole team. How many girls are in the group that has nine boys? A) 9b to 6g (B 9b to 12g (C 9b to 3g
Answer:
A. 9boys to 6girls
Step-by-step explanation:
If the original ratio of boys to girsl was 18 boys to 12 girls, then the simplified ratio is 3 boys to every 2 girls.
3:2
9:?
Divide 9/3=3
So the simplified ratio times 3 would give you the ratio if boys to girls when there are 9 boys
2*3=6
6 girls when there are 9 boys
1. How could you find the actual number of sticky notes it will take to cover the cabinet, excluding the bottom? What information would you need to know?
Hey there!
You would probably need to know the dimensions and surface area of the cabinet, and the dimensions and area of the sticky notes.
Hope it helps and have an amazing day!
Select all quadrilaterals that have 180 degree rotational symmetry,
A. trapezoid
B. isosceles tapezoid
parallelogram
D. rhombus
E. rectangle
F. square
Parallelogram and Rectangle has rotational symmetry of 180 degree.
Trapezoid has rotational symmetry = 360 degree.
Isosceles Trapezoid has rotational symmetry = 360 degree.
Parallelogram has rotational symmetry = 180 degree.
Rhombus has rotational symmetry = 90 degree.
Rectangle has rotational symmetry = 180 degree.
Square has rotational symmetry = 90 degree.
Learn more: https://brainly.com/question/20969283
Simplify:
з (2(3) + (4 — 2)(3) - (6 – 2)(2)]
A. 3
В. 12
С. 0
D. 24
E. -3
Answer:
the answer is 4
Step-by-step explanation:
none of the options are right
Use the distributive property to remove the parentheses.
-4(-6y + 2w-4)
Answer: 24y - 8w + 16
Step-by-step explanation:
Basically to remove the parenthesis you just distribute the -4 outside of the parenthesi and you get 24y - 8w + 16.