Answer:
0.104 = 10.4% probability that at least 2 drive without a seatbelt.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they drive without a seatbelt, or they do not. The probability of a person driving without a seatbelt is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of the people in Fiji drive the car without seatbelt.
This means that [tex]p = 0.2[/tex]
3 people are randomly selected
This means that [tex]n = 3[/tex]
Find the probability that at least 2 drive without a seatbelt?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{3,2}.(0.2)^{2}.(0.8)^{1} = 0.096[/tex]
[tex]P(X = 3) = C_{3,3}.(0.2)^{3}.(0.8)^{0} = 0.008[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) = 0.096 + 0.008 = 0.104[/tex]
0.104 = 10.4% probability that at least 2 drive without a seatbelt.
f(x) = 2 x + 5, g(x) = x - 1
asked = f(x) • g(x)
please help..
Answer:
2x² + 3x - 5
Step-by-step explanation:
(2x + 5)(x - 1)
2x² - 2x + 5x - 5
2x² + 3x - 5
What is the length of FG?
(Picture of Question Below!)
I WILL GIVE OUT BRAINLIEST IF CORRECT!
A. 1.2
B. 3
C. 3.6
D. 4 (NOT 4)
E. 6
Answer:
3.6,I dont know if I'm right but I'm pretty sure
Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)
DO NOT SEND ANY LINKS.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
0.5
Step-by-step explanation:
If y = -4, then we must replace every variable y with the number 4. So, let's do that.
2/-4 + 1/2*(-4 + 6)
All we have to do now, is simplify. Parenthesis first...
2/-4 + 1/2*2
We can replace the 1/2*2 with 2/2 because they are the same thing.
2/-4 + 2/2
Now, solve from left to right.
-0.5 + 1 = 0.5
Therefore, the answer is equal to 0.5. Hope this helps!
which expression has the same value as 5 - 3x when x = 4
Answer:
1.75x?
Step-by-step explanation:
I'm not sure if it has to be multiple numbers
Pls help !!!! Due today
Answer:
Im not so sure but i think its the 3rd option 168cm^2
Step-by-step explanation:
Asanji stands at the edge of the top of a tall building and lobs a watermelon up into the air then proceeds to watch it fall to the street below (luckily it's empty because everybody is at home). The equation below represents the height, off the ground in meters, of the watermelon t seconds after Asanji has thrown it.
h = -4.9t^2 + 9.8t + 28
Approximately, how long does it take the watermelon to hit the ground? Round to the nearest tenth of a second.
9514 1404 393
Answer:
3.6 s
Step-by-step explanation:
This is nicely solved by a graphing calculator. It takes about 3.6 seconds to hit the ground.
__
We notice that the vertical velocity is a multiple of the leading coefficient, so we can solve this by completing the square.
0 = -4.9(t^2 -2t) +28 . . . . . for h = 0
28 +4.9 = 4.9(t^2 -2t +1) . . . . . rearrange, add 4.9 to both sides
32.9/4.9 = (t -1)^2
1 +(1/7)√329 = t ≈ 3.5912. . . . . square root and add 1
It takes about 3.6 seconds for the watermelon to hit the street.
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 75 manufacturing companies located in the Southwest. The mean expense is $50.93 million and the standard deviation is $10.80 million. Is it reasonable to conclude the sample data are from a population that follows a normal probability distribution? Advertising Expense ($ Million) Number of Companies 25 up to 35 4 35 up to 45 19 45 up to 55 27 55 up to 65 16 65 up to 75 9 Total 75
Answer:
Step-by-step explanation:
The table can be computed as:
Advertising Expenses ($ million) Number of companies
25 up to 35 4
35 up to 45 19
45 up to 55 27
55 up to 65 16
65 up to 75 9
TOTAL 75
Let's find the probabilities first:
[tex]P(25 - 35) = P \Big(\dfrac{25-50.93}{10.80}<z< \dfrac{35-50.93}{10.80}\Big) \\ \\ =P \Big(\dfrac{-25.93}{10.80}<z< \dfrac{-15.93}{10.80}\Big) \\ \\ =P(-2.4009<z<-1.475) \\ \\ =(0.0694 -0.0082) \\ \\ =0.0612[/tex]
For 35 up to 45
[tex]P(35 - 45) = P \Big(\dfrac{35-50.93}{10.80}<z< \dfrac{45-50.93}{10.80}\Big)=P \Big(\dfrac{-15.93}{10.80}<z< \dfrac{-5.93}{10.80}\Big) \\ \\ =P(-1.475<z<-0.5491) \\ \\ =(0.2912 -0.0694) \\ \\ =0.2218[/tex]
For 45 up to 55
[tex]P(45 - 55) = P \Big(\dfrac{45-50.93}{10.80}<z< \dfrac{55-50.93}{10.80}\Big)=P \Big(\dfrac{-5.93}{10.80}<z< \dfrac{4.07}{10.80}\Big) \\ \\ =P(-0.5491<z<0.3769) \\ \\ =(0.6480 -0.2912) \\ \\ =0.3568[/tex]
For 55 up to 65
[tex]P(55 - 65) = P \Big(\dfrac{55-50.93}{10.80}<z< \dfrac{65-50.93}{10.80}\Big)=P \Big(\dfrac{4.07}{10.80}<z< \dfrac{14.07}{10.80}\Big) \\ \\=P(0.3768<z<1.3028) \\ \\ =(0.9032-0.6480) \\ \\ =0.2552[/tex]
For 65 up to 75
[tex]P(65 - 75) = P \Big(\dfrac{65-50.93}{10.80}<z< \dfrac{75-50.93}{10.80}\Big)=P \Big(\dfrac{14.07}{10.80}<z< \dfrac{24.07}{10.80}\Big) \\ \\ =P(1.3028<z<2.2287) \\ \\=(0.9871-0.9032) \\ \\ =0.0839[/tex]
Chi-Square Table can be computed as follows:
Expense No of Probabilities(P) Expe [tex](O-E)^2[/tex] [tex]\dfrac{(O-E)^2}{E}[/tex]
compa cted E (n*p)
nies (O)
25-35 4 0.0612 75*0.0612 = 4.59 0.3481 0.0758
35-45 19 0.2218 75*0.2218 = 16.635 5.5932 0.3362
45-55 27 0.3568 75*0.3568 = 26.76 0.0576 0.021
55-65 16 0.2552 75*0.2552 = 19.14 9.8596 0.5151
65-75 9 0.0839 75*0.0839 = 6.2925 7.331 1.1650
[tex]\sum \dfrac{(O-E)^2}{E}= 2.0492[/tex]
Using the Chi-square formula:
[tex]X^2 = \dfrac{(O-E)^2}{E} \\ \\ Chi-square \ X^2 = 2.0942[/tex]
Null hypothesis:
[tex]H_o: \text{The population of advertising expenses follows a normal distribution}[/tex]
Alternative hypothesis:
[tex]H_a: \text{The population of advertising expenses does not follows a normal distribution}[/tex]
Assume that:
[tex]\alpha = 0.02[/tex]
degree of freedom:
= n-1
= 5 -1
= 4
Critical value from [tex]X^2 = 11.667[/tex]
Decision rule: To reject [tex]H_o \ if \ X^2[/tex] test statistics is greater than [tex]X^2[/tex] tabulated.
Conclusion: Since [tex]X^2 = 2.0942[/tex] is less than critical value 11.667. Then we fail to reject [tex]H_o[/tex]
Which of the following variables is most likely to be used as quantitative?
Choose the correct answer below.
ZIP code
Country of birth
Flash drive capacity
Car manufacturer
The variables x and y are related proportionally. When x = 8 and y = 20. Find y when x = 68.
Answer:
y = 170
Step-by-step explanation:
68/8 = 8.5
8.5*20 = 170
Answer:
170Steps:
given: when x = 8 , y = 20
if x = 68
then y = (68 × 20)/8 = 1360/8 = 170
factoring review 2 terms 1-8
Answer:
ok
Step-by-step explanation:
whats the question?
need help solving these 4 problems
Answer:
A)5
D) Z
I dunno
D) X
number 68 I dunno sorry
Answer:
66) A) 5
67) D) Z
68) D) T
69) D) X
If x varies inversely as y and x=16 when y=5, find x when y=20.
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
The inverse variation means that when y goes up by a factor of 20/5 = 4, the value of x goes down by the same factor.
x = 16/4
x = 4
If the second of three consecutive integers is subtracted from 135, the result is the sum of the first and third. What are the integers?
Answer:
44, 45, and 46
Step-by-step explanation:
135-(x+1)=x+(x+2)
135-(x+1)=2x+2
135=3x+3
132=3x
x=44
So the first number is 44
Then just add 1 and 2 to get 45 and 46 as the second and third number.
PLZ IF YOU DONT KNOW THE ANSWER DONT HELP MEE I HAVE TO PASS THIS SO I CAN PASS MATH THANK YOU VERY MUCH (The box number matches the questions number)
1) Which value is the same for box plots A and B?
A) Median
B) Range
C) IQR
D) Minimum
2. Which value is greater for box plot A than B?
A) Median
B) Range
C) IQR
D) Minimum
3. Which value is not the same for box plots A and B?
A) Median
B) Range
C) IQR
D) Minimum
Big chickens: A report from a poultry industry news Web site stated that the weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1376 grams and standard deviation 183 grams. Use the TI-84 PLUS calculator and round your answers to at least two decimal places. (a) Find the 24th percentile of the weights. (b) Find the 86th percentile of the weights. (c) Find the second quartile of the weights. (d) A chicken farmer wants to provide a money-back guarantee that his broilers will weigh at least a certain amount. What weight should he guarantee so that he will have to give his customers' money back only 1% of the time
Answer:
i think its b
Step-by-step explanation:
Find the degree of the polynomial – 3x + x² +3.
Answer:
Step-by-step explanation:
Degree means highest exponent. got it?
Solve for x
15 points for prize
×=20°
Hope this helps :)
Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3
Step-by-step explanation:
daddgeyeyeyeye daddd daddy safdad papap
bing + us ????? need help ples asap
Bing + us = Bingus. That's all
Answer:
it's very hard lol
Bing+us
=Bingus
Step-by-step explanation:
oh my gawd... hope it's ryt
thanks lol
1. Determine P(green) and P(orange for the spinner. Write the probabilities as fractions, decimals and percents.
Answer:
A) P(Green) = 1/8, 0.125, 0r 12.5%
P(Orange) = 1/2, 0.5, or 50%
B) P(Not Yellow) = 3/4, 0.75, or 75%
Step-by-step explanation:
A) P(Green) = 1/8, 0.125, 0r 12.5%
P(Orange) = 1/2, 0.5, or 50%
B) P(Not Yellow) = 3/4, 0.75, or 75%
Which of these is a statistical question? I accidentally clicked an clicked an answer, but I want to know which one is the right one.
Step-by-step explanation:
I think A is the answer to your question
5. Which of the following is an
example of corresponding
angles?
A. <8 and <4
B. <5 and <7
C. <1 and <7
D. <3 and <5
for brainliest please help
The value of x in given figure is 100°
What do you mean by the term Angle ?
An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called the sides of the angle, and they can be measured in degrees or radians.
An angle can be classified as acute, right, obtuse, or straight, depending on its measure. An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a straight angle is exactly 180 degrees.
According to question
In ΔABC ,
∠ C is 100°
So,the value of x is also 100°( by vertically opposite angle)
Learn more about Right angle here
https://brainly.com/question/7116550
#SPJ1
Find a fraction with a demominator of 30 that is equivalent to 1/3
Answer:
10/30
Step-by-step explanation:
First, multiply the denominator by 10 to make 30.
Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10
Therefore the answer is 10/30.
What slope of the points (9,7) and (3,3)
Answer:
6/4
Step-by-step explanation:
Answer:
slope
=
−
21
16
Explanation:
to calculate the slope m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
−
7
,
11
)
and
(
x
2
,
y
2
)
=
(
9
,
−
10
)
⇒
m
=
−
10
−
11
9
−
(
−
7
)
=
−
21
16
=
−
21
16
Step-by-step explanation:
The graph of a linear function is shown on the coordinate grid.
What is they y-intercept of the graph of the linear function?
Answer:
y=-6
Step-by-step explanation:
just look at the bottom and yahhhh
I’m for real confused now lol LOOK AT THE PHOTO
Answer:
The answer to the question provided is 42.
HELP LOOK AT PHOTO PLEASE
Answer:
y=60
Step-by-step explanation:
1) Find x
All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:
[tex]180=x+35+25\\180=x+60[/tex]
Subtract 60 from both sides
[tex]180-60=x+60-60\\120=x[/tex]
2) Find y
A straight line has an angle measure of 180 degrees as well. Knowing this, we can construct the following equation:
[tex]180=x+y\\180=120+y[/tex]
Subtract 120 from both sides of the equation
[tex]180-120=y+120-120\\60=y[/tex]
There is also a second way to solve for y: An exterior angle of a triangle is equal to the sum of the opposite interior angles. y, in this case, would be the exterior angle and 35 and 25 degrees would measure the opposite interior angles. To solve for y, we just add 35 and 25, getting us 60 degrees.
I hope this helps!
Helpppppppp details in picture
16
Which one of the following
sets of three lengths will form
a triangle
A. 3, 4, and a
B. 3, 5, and a
C. 3, 6, and a
D. 3, 7, and a
Answer:
A .........................