The probability that none of the selected adults say that they were too young to get tattoos is 0.3512
What is Binomial probability distribution?The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
14% say that they were too young when they got their tattoos.
So, p= 0.14.
Six adults who regret getting tattoos are randomly selected
So, n=6.
Now, the probability that none of the selected adults say that they were too young to get tattoos.
P(X=0) = \(C_ {6.0} (0.14)^{0} (0.86)^{6}\)
= 0.3512
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A parallelogram is formed by the supports that attach a basketball backboard and rim tothe wall. The angles change as the basketball apparatus is taken out and put away. FindMZADC when mZDAB = 749BDC16°o o7401640106°
In a parallelogram opposite angle are equal
Hence
Sum of angles in a parallelogram = 360 degrees
74 + 74 + x +x + 360
148 +2x =360
360 -148 = 2x
212 = 2x
212/2 =2x/2
x = 106 degrees
one lap around a field is 4/5 of a mile .Adrian ran these laps . how far did he run?
What is the solution to the following system of equations?
A. 3,-2
B. -2,3
C. -3,1
D. 1,-3
Answer:
the correct answer is A
3,-2
I need help with this please
Answer:
Ricky is taller by 11 inches ( a)
Step-by-step explanation:
1 foot = 12 inches
5 feet= 60 inches
Ticky is 68 inches
Ricky is 79 inches
ricky-Ticky= 79- 68= 11 inchesss!
The U.S. Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks (U.S. Department of Energy website, February 22, 2008). A portion of the data for 311 compact, midsize, and large cars follows. The column labeled Class identifies the size of the car; Compact, Midsize, or Large. The column labeled Displacement shows the engine's displacement in liters. The column labeled Fuel Type shows whether the car uses premium (P) or regular (R) fuel, and the column labeled HwyMPG shows the fuel efficiency rating for highway driving in terms of miles per gallon.
a) Develop an estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement.
Let x represent the engine's displacement.
If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x
b) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain?: ____%
c) Consider the addition of the dummy variables ClassMidsize and ClassLarge to the simple linear regression model in part (a). The value of ClassMidsize is 1 if the car is a midsize car and 0 otherwise; the value of ClassLarge is 1 if the car is a large car and 0 otherwise. Thus, for a compact car, the value of ClassMidsize and the value of ClassLarge are both 0. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement and the dummy variables ClassMidsize and ClassLarge. Let x1 represent engine's displacement. Let x2 represent variable ClassMidsize. Let x3 represent variable ClassLarge.If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x1 + ___ x2 + ___ x3
d) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain? : ___ %
e) Consider the addition of the dummy variable FuelPremium, where the value of FuelPremium is 1 if the car uses premium fuel and 0 if the car uses regular fuel. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement, the dummy variables ClassMidsize and ClassLarge, and the dummy variable FuelPremium. Let x1 represents engine's displacement. Let x2 represents variable ClassMidsize. Let x3 represents variable ClassLarge. Let x4 represents variable FuelPremium. If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x1 + ___ x2 + ___ x3 + ___x4
f) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain? : ___ %
a) Y=38.6594-5.4198x; b) 39.1% explained variation; c) Y=44.9379-5.9522x1-1.2758x2-2.0102x3; d) 49.9% explained variation; e) Y=45.2478-6.1081x1-0.9945x2-2.5692x3+0.9963x4; f) 53.1% .
a) The estimated regression equation for predicting fuel efficiency for highway driving is Y = 38.6594 - 5.4198x, where x represents the engine's displacement in liters.
b) The estimated regression equation explains 39.1% of the variation in the sample values of HwyMPG.
c) The estimated regression equation that includes the dummy variables ClassMidsize and ClassLarge is Y = 44.9379 - 5.9522x1 - 1.2758x2 - 2.0102x3, where x1 represents engine's displacement, x2 represents variable ClassMidsize, and x3 represents variable ClassLarge.
d) The estimated regression equation with the added dummy variables explains 49.9% of the variation in the sample values of HwyMPG.
e) The estimated regression equation that includes the dummy variable FuelPremium is Y = 45.2478 - 6.1081x1 - 0.9945x2 - 2.5692x3 + 0.9963x4, where x1 represents engine's displacement, x2 represents variable ClassMidsize, x3 represents variable ClassLarge, and x4 represents variable FuelPremium.
f) The estimated regression equation with all three dummy variables explains 53.1% of the variation in the sample values of HwyMPG.
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The scientists want to predict how long it will take all 200 of the oak trees in the forest to become infected with oak wilt.
Select the correct answer from the drop-down.
According to the function modeling this situation, all 200 trees will be infected by oak wilt approximately
years after the first tree was infected.
Answer: 14.6 years
Step-by-step explanation:
What percentage of growth is needed annually to reach 400,000 in 3 years if today I have 200,000
Answer:
approx 26%
Step-by-step explanation:
you try find the multiplier
200000 * 1. ???? ^3= 400000
rearrange equation
\(\sqrt[3]{\frac{400000}{200000} }\) = multiplier
1.25992105
subract one
0.25992105
multiply by 100 to get percentage
25.9%
rounded to whole number = 26%
There is a large group of people entering the building. After 2 minutes, 55 people have entered the building, so after 30 minutes, how many people have entered the building?
А
729 people
B
825 people
с
1,650 people
D
83 people
Answer:
B, 835 people
Step-by-step explanation:
divide 30 by 2 to get 15
multiple 15 by 55 to get 825
Write an integer for the situation: a loss of 14 pounds
Answer:
-14
Step-by-step explanation:
A gain is usually a positive number, and a loss is usually a negative number.
Answer: -14
Answer:
-14
Step-by-step explanation:
this is a negative number
Annie and lily share some money in the ratio of 2:3
Answer:
it would be 4:6
Step-by-step explanation:
It would be 4:6 because it is the same thing bu times 2
Find the area of the followingrhombus:2m13 mA = [?] m²
We can see that the rhombus is composed of 4 congruent right triangles. The area of a triangle is:
\(Area\text{ }triangle=\frac{b\cdot h}{2}\)Where:
b is the base of the triangle
h is the height of the triangle
If the rhombus is composed of 4 identical right triangles, then the area of the rhombus is:
\(Area\text{ }rhombus=4\cdot Area\text{ }triangle=4\cdot\frac{b\cdot h}{2}=2bh\)Thus, the area of the rhombus is twice the height times the base.
We can see in the figure that:
b = 13m
h = 2m
Then, we can write:
\(Area\text{ }rhombus=2\cdot13m\cdot2m=52m^m\)Thus, the answer is:
\(A=52m^2\)HELP!!
Consider the polynomial
Answer:
1. coefficient of 3rd term = 1
2. constant term= 0
The coefficient of the third term is 1 while the constant term is 0 for the given expression.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
As per the given polynomial,
(1/2)a⁴ + 3a³ + a
Here a is a variable.
(1)
The third term is a and its coefficient is 1 as (1)a.
(2)
All terms have variable "a" thus none of the terms is constant so the constant term is 0.
Hence "For the following statement, the constant term has a coefficient of 0 and the third term has a coefficient of 1".
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The table represents a linear function. Find the missing values to complete the table.
A) x = 1, y=17/3
B) x= 1, y = 21/3
C) x = 5, y = 17/3
D) x = 5, y = 21/3
The value of missing x = 5
The value of missing y = 17 / 3
How to find the Slope ?The standard line equation, y = mx + b, or the slope formula, m = (y2 - y1)/(x2 - x1), can both be used to find the slope, m.
According to the given information
Let two points be \((x_{1} , y_{1} )\) and \((x_{2} , y_{2} )\) are ( 3 , 8 ) and ( 6 , 15 )
Slope of the two points = \(\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\)
= \(\frac{15-8}{6-3}\)
= 7 / 3
Let the equation passing through points ( 3 , 8 ) be
\(( y - y_{1}) = m(x - x_{1})\)
y - 8 = 7/3( x - 3 )
3y - 24 = 7x - 21
3y = 7x - 21 + 24
3y = 7x + 3
When x = 2
3y = 14 + 3
y = 17 / 3
When y = 38/5
114/3 = 7x + 3
7x = 114/3 - 3
21x = 114 - 9
x = 5
So
The value of missing x = 5
The value of missing y = 17 / 3
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Solve the equation . Show your work
Answer:
x = -1
Step-by-step explanation:
First you multiply by crossover and you get 3(5-x)=18
Then divide the two wings and you'll get 5-x=6
Then you need to separate the x from the numbers
so you move 5 to the right side and you get -x=6-5
Then you calculate it and you get -x=1
and x= -1
hope it helped <3
Answer:
\(x=-1\)
Step-by-step explanation:
Given the equation
\(\frac{5-x}{9}=\frac{2}{3}\)
\(\mathrm{Multiply\:both\:sides\:by\:}9\)
\(\frac{9\left(5-x\right)}{9}=\frac{2\cdot \:9}{3}\)
\(5-x=6\)
\(\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}\)
\(5-x-5=6-5\)
\(-x=1\)
\(x=-1\)
Find the volume of the cone. Round your answer to the nearest tenth. 7 ft, 4ft
Answer:
117.29 cubic feet
Step-by-step explanation:
* means multiplied by
V=π*r^2*(h/3)
V=π*4^2*(7/3)
V=3.14*16*(7/3)
V≈117.29
The monthly incomes from a random sample of 20 workers in a factory is given below in dollars. Assume the population has a normal distribution and has standard deviation $518. Compute a 98% confidence interval for the mean of the population. Round your answers to the nearest dollar and use ascending order Monthly Income 11621 12367 12030 12135 12561 11453 12313 11561 12424 12346 11591 12032 11562 12224 12850 11802 12360 12519 11960 12337
The 98% confidence interval for the mean of the population is ( 11832.583 , 12371.417) with upper control limit --> 12371.417 and Lower control limit, 11832.583..
A random sample of the monthly incomes from a random sample of 20 workers in a factory.
Sample size, n = 20
Standard deviations, σ = $518
confidence interval, CI = 98%
Here, Population has a normal distribution,
we compute a 98% confidence interval for the mean of the population. let'X' be random variable for monthly incomes of workers in factory.
Formula for confidence interval for the mean is
X-bar ± Zα/2 (σ/√n) --(*)
Now, at 98% confidence interval, α = 0.98
α/2 = 0.49 , using Z-table , Zα/2 is 2.326.
Monthly Income record is
11621 12367 12030 12135 12561 11453 12313 11561 12424 12346 11591 12032 11562 12224 12850 11802 12360 12519 11960 12337
X- bar = sum of all monthly incomes/20
= 12,102
Confidence interval for the mean is 12,102 ± 2.326( 518/√20)
= 12,102 ± 269.417
= ( 11832.583 , 12371.417)
Hence, required confidence interval is ( 11832.583 , 12371.417).
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The number line shows four points. Which point represents the approximate location of V12?
A) point A
B). point B
C) point C
D) point D
Answer:
point A
Step-by-step explanation:
Answer:c
Step-by-step explanation:
This season, the probability that the Yankees will win a game is 0.45 and the probability that the Yankees will score 5 or more runs in a game is 0.6. The probability that the Yankees win and score 5 or more runs is 0.34. What is the probability that the Yankees will win when they score fewer than 5 runs? Round your answer to the nearest thousandth.
The probability that the Yankees will win when they score fewer than 5 runs is; 0.567
How to solve conditional probability?We are given;
Event A which is when Yankees win has a probability of; P(A) = -.45
Thus, Event that the Yankees don't win which is when they lose is;
P(A') = 1 - 0.45 = 0.55
Event B which is the event that the Yankees score 5 or more runs has a probability of; P(B) = 0.6
Event that the Yankees score 4 or less run is given by the probability;
P(B') = 1 - 0.6 = 0.4
The probability that the Yankees win and score 5 or more runs is;
P(A' ∩ B') = 0.34
Thus, the probability that the Yankees will win when they score fewer than 5 runs wanted is given by the chain rule in conditional probability of the formula;
P(A' | B') = P(A' ∩ B')/P(B') = 0.34/0.6
P(A' | B') = 0.567
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Identify the correct equation of the graph
Answer:
The correct function is
\(f(b) = {b}^{2} - 4\)
The temperature in Chicago was -3℉ at 8am. temperature increased 5℉ by noon. The temperature then decreased 7℉ by 4pm. What was the temperature in Chicago at 4pm?
Answer:
The temperature is -5F
Step-by-step explanation:
You start at -3 then add 5 to get 2 degrees Fahrenheit then you subtract 7 to get -5 degrees Fahrenheit
What is the value of x in the figure?
Answer:
x=65
Step-by-step explanation:
Both sides have to equal the same, which is 145. 145-15=130, 130/2=65. So basically you have to do inverse operation to solve this.
In a shopping mall there are 30 stands selling clothes, which accounts for 1/3 of the total stands. How many stands are there?
Answer:
90 stands
Step-by-step explanation:
1/3 x 3 = 1.
30 x 3 = 90.
The answer is 90. I hope this helps!
Which statement could the expression 13 + x represent? Andrea has 13 eggs and bought 13 more. Victoria has 13 flowers. This is greater than the number of flowers Elisa has. Prakhar is 13 years older than his youngest sister. Kai is 13 blocks from home. Jack is a greater distance away.
Kai is 13 blocks from home. Jack is a greater distance away.
In this statement, 13 would represent the distance Kai is from home.... x would equal how much further away Jack is.
Hope this helps!!! Have an amazing day!!!! :)
Prakhar is 13 years older than his youngest sister. :) <3
8. Use the bar diagram to write an equation. Then
solve for x.
X
Total
7
X
5
X
Answer: 12, 16, 20, and 320.
Step-by-step explanation:
The value of x can be solved as follows, take note of the numbers you will need to drag to complete the equations:
4x + 12x = 320 (segment addition postulate)
16x = 320 (combining like terms)
x = 20 (dividing both sides by 16)
We would end up with the value of x, which equals 20.
Numbers that we end up using are: 12, 16, 20, and 320.
7. Which three lengths could be the lengths of the sides of a triangle?
Answer:
10 cm, 15 cm, 24 cm
Step-by-step explanation:
The lengths of the sides of a triangle need to be c < a+b, c > a-b, where a, b, and c are sides. Because of this, we can eliminate 1, 3, and 4, leaving 2 (10 cm, 15 cm, 24 cm) to be the right answer.
Having a spot of difficulty after re-watching the main video a few times. I followed his example but the answer I got was 2 (yay...). I would appreciate the help!
Using it's formula, the variance of the data-set is of 15 units squared.
What are the mean and the variance of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set.For this problem, the mean is given by:
Mean = (3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8.
Hence the variance is given as follows:
Variance = 1/8 x [(3-8)² + (4-8)² + (5-8)² + (7-8)² + (10-8)² + (12-8)² + (15-8)²] = 15.
Hence the variance of the data-set is of 15 units squared.
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Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
The height of the tree after 6 years can be expressed as "3 feet + 6f feet."
The correct answer is A. 3f + 6 feet.
To determine the current height of the tree in terms of "f,"
let's analyze the given information.
We know that the tree was initially 3 feet tall when it was planted 6 years ago.
Since the tree grows every year, we can assume that its growth rate is consistent.
Let's denote the current height of the tree as "h" (in feet).
After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").
Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."
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Help plsssss What is x
Answer:
X = 8
Step-by-step explanation:
Kindly check the image below for the relationship between two segments in a circle that intersect
A * B = C * D
This relationship is important to understand when trying to solve for x in this type of problem
Now imagine that A = 15 B = x C = 10 and D = 12
Now we want to create an equation
( Using the relationship )
15 * x = 12 * 10
Now we solve for x using basic algebra
12 * 10 = 120
15x = 120
* divide each side by 15 *
15x/15 = x
120 / 15 = 8
we're left with x = 8
 A wall in Marcus's bedroom is 813 feet high and 1615 feet long. If he paints 13 of the wall blue, how many square feet will be blue?
Answer:
17,068,935 square feet
Step-by-step explanation:
square feet 1 wall = 813*1615 = 1312995
square feet 13 walls = 1312995*13 = 17068935 squre feet
20 kilograms increased by 25%
Answer:
25 kilograms
Step-by-step explanation: