Answer:
[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]
In which x is the number of which we want to find the probability.
Step-by-step explanation:
For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that 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.
The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.
This means that [tex]p = 0.4[/tex]
Eight traffic fatalities
This means that [tex]n = 8[/tex]
Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is
This is P(X = x), in which x is the number of which we want to find the probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]
Based on the binomial probability principle, the probability involving the number of non-occupant is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]
Let :
Number of alcohol - impaired or non-occupant = kNumber of trials, n = 8Probability of success, p = 0.40q = 1 - p = 1 - 0.40 = 0.60Using the binomial probability relation :
[tex] P(x = x) = nCx \times p^{x} \times q^{n-x} [/tex] x = kSubstituting the values into the relation :
[tex] P(x = k) = nCk \times 0.40^{k} \times 0.60^{n-k} [/tex]
Hence, the required probability expression is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]
Learn more :https://brainly.com/question/23287510
Si a y b son los catetos de un triángulo y c su hipotenusa determina el lado que falta a= 16,b=34*
Answer:
the aswer is b
Step-by-step explanation:
i
8 4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes?
Answer: 140
Step-by-step explanation:
Uang Indonesia: Rp 1,155,600
Uang Amerika Serikat= $80
Uang Malaysia= $331.52
Together, Dien and Jane can eat 2/3 of a pizza in 4 seconds. How long would it take each of them to eat the whole pizza alone if Jane can eat a pizza 5 seconds faster than Dien?
Answer:
Dien - 15 seconds, Jane - 10 secondsStep-by-step explanation:
Together:
2/3 of pizza ⇒ 4 secondsFull pizza ⇒ 4 ÷ 2/3 = 6 secondsDien needs x seconds to eat pizza
Jane needs x - 5 seconds to eat pizza
In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza
1/x + 1/(x - 5) = 1/6x(x - 5) = 6(x + x - 5)x² - 5x - 12x + 30 = 0x² - 17x + 30 = 0(x - 15)(x - 2) = 0x = 15 (x = 2 is discounted as not realistic)Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds
Find the missing side of this right triangle. [Pythagorean Theorem]
Answer: 12 x 7 = 72
Step-by-step explanation:
Answer:
Square root of 193
Step-by-step explanation:
7^2+12^2=x^2
Switch sides: x^2=7^2+12^2
After everything is squared: x^2=49+144
x^2=193 OR x=\sqrt{193}
Help
solve 2x+4=10
Brainliest
❤️ The answer is attached
achievements.
Answer:
x=3
Step-by-step explanation:
2x+4=10
subtracting both side by 4.
2x+4-4=10-4
2x=6
x=6/2=3
In a survey of 526 visitors to the craft center, 378 want the craft center to be open later in the evenings. What is the interval that is likely to contain the true population proportion?
37% to 69%
16% to 17%
20% to 38%
0% to 53%
Answer:
37% to 69%
Step-by-step explanation:
The formula for the circumference, C, of a circle with given radius, r, is C = 2πr. meters? what is the circumference of a circle with a radius of 3 1/2 meters? (use 22 as an estimate for it.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters
Answer:
22
actual answer was 21.99
What is the answer to questions 5 + 3? Please answer due midnight.
Answer: 8
Step-by-step explanation: np:)
What rational number is equivalent to .36 repeating
Answer:
4/11
Step-by-step explanation:
i think,,,,try it and maybe its right
x is less than or equal to 25.
Question options:
x ≥ 25
x > 25
x ≤ 25
x < 25
Answer:
3rd one
Step-by-step explanation:
since its less you would do this symbol: <
and it says equal to so that means you would put a line under the symbol
A water balloon was launched into the top of the hill 38 feet above the ground
Answer: -71.104 ft/sec
Step-by-step explanation:So you need to know how fast the balloon is moving when it hits this person's head. velocity is based on time. So you need the time that it hits this person's head. You can get time from the position equation. Because the balloon hits this person's head 6 feet from the ground, you know that the final position is at 6 so you plug that into the position equation and solve for t. You look and see what the appropriate t value is and plug it into the velocity equation and see what the answer is.
6=-16t^2+40t+60
0=-16t^2+40t+54
plug in those values into the quadratic formula or your calculator and you get:
t = -.972
or
t = 3.472
since you can't have negative time, the other answer must be it.
So you then plug it in and solve.
v(3.472) = -32(3.472) + 40
which is approximately -71.104 ft/sec
or if they just want speed, 71.104 ft/sec. (remember, speed is velocity without direction)
what is the value of x ?
Answer:
the letter "x" is often used in algebra to mean a value that is not known yet. It is called a 'varaible' or sometimes unknown.
Answer:
It is 65, B
Step-by-step explanation: because 180-115=65 tell me if you dont get it
Each year, the number of students taught by Mr. Wright increases by 2. The first year, he taught 18 students. The total number of students taught after 25 years can be represented using the expression . How many students has Mr. Wright taught in 25 years?
Answer: 452 students
25 x 18 = 450 + 2= 452
Answer:
C
Step-by-step explanation:
Correct on edge 2020
Please give me an right answer and explain pleaseeee!!! And set up and equation before solving !
The difference between two numbers is 4. The sum of the smaller number and three times the larger number is 36. What are the two numbers?
Answer:
The two numbers are 6 and 10.
Step-by-step explanation:
First, you have to form equations. With the given informations, let x be the larger number and y be the smaller number, the equations will be :
x - y = 4
3x + y = 36
Next, you have to solve the simultaneous equations :
x - y = 4 ---------- (1)
3x + y = 36 ------- (2)
(2) + (1)
3x + y + x - y = 36 + 4
4x = 40
x = 10
Substitute x = 10 into (2)
3(10) + y = 36
30 + y = 36
y = 36 - 30
y = 6
A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
How many bags have zips on them?
23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
Find the IQR, show your work.
HELP!
Answer:
the IQR is 71
Step-by-step explanation:
the Xl is 99 and the Xu is 170. Xu-Xl=71
Write 11/8 as a mixed fraction
Answer:
1 3/8
Step-by-step explanation:
Since 11 is over 8 that means you already have a whole number so you just add the 3 and you get 1 3/8
To check just in case you just multiply the whole number and denominator and then add the numerator.
don’t send links; PLEASE HELP FAST I WILL DO ANYTHING, I’LL GIVE U 2K ON BLOXBURG
Answer:
i think its 90
Step-by-step explanation:
you would multiply the right box which is 2 x 3 ( i got 3 because its half of 6 which is at the top) then you would multiply the left box which is 3 x 5
2 x 3 = 6
3 x 5 = 15
15 x 6 = 90
i dont need the 2k on bloxburg
if its right could i get brainliest?
Please help
See the picture
Answer:
6
Step-by-step explanation:
Gud luck
a rectangular banner has an area of 36.75 square feet, The length of the banner is 15 feet. What is its width
Answer:
w=A
l=36.75
15=2.45ft
Step-by-step explanation: there you go :>
Answer:
2.45ft
Step-by-step explanation:
w=A
l=36.75
15=2.45ft
This Question: 1 pt
17 of 29
Emma has $160 cash to spend at a music store. How much can she spend on items if there is a 7% sales tax?
Emma can spend on items.
(Round to the nearest cent as needed.)
Answer:
i would say $148.80
Step-by-step explanation:
tax would amount to 11.20 so when you subyract that from the total then the rest is what she can spend.
Simplify -3 p3 + 5 p + (-2 p2 ) + (-4) - 12 p + 5 - (-8 p3 ). Select the answer in descending powers of p . 1 - 7 p - 2 p2 + 5 p3 1 + 7 p + 2 p2 - 5 p3 5 p3 - 2 p2 - 7 p + 1 -5 p3 + 2 p2 + 7 p + 1
Step-by-step explanation:
Let's simplify step-by-step.
−3p3+5p−2p2−4−12p+5−−8p3
=−3p3+5p+−2p2+−4+−12p+5+8p3
Combine Like Terms:
=−3p3+5p+−2p2+−4+−12p+5+8p3
=(−3p3+8p3)+(−2p2)+(5p+−12p)+(−4+5)
=5p3+−2p2+−7p+1
Answer:
=5p3−2p2−7p+1
ТDaP is a booster shot that prevents Diphtheria, Tetanus, and Pertussis in adults and adolescents. It should be administered every 8 years in order for it to remain effective. A random sample of 500 people living in a town that experienced a pertussis outbreak this year were divided into two groups. Group 1 was made up of 132 individuals who had not had the TDaP booster in the past 8 years, and Group 2 consisted of 368 individuals who had. In Group 1, 15 individuals caught pertussis during the outbreak, and in Group 2, 11 individuals caught pertussis. Is there evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were? Test at the 0.05 level of significance.
Enter the test statistic - round to 4 decimal places.
Enter the P-Value - round to 4 decimal places.
Is there evidence to suggest the proportion of those who caught pertussis is higher for those who were not up to date on their booster?
Answer: 76.8356 and 12.5372
Step-by-step explanation:
Find the area of the rhombus. Each indicated distance is half the length of it’s respective diagonal.
(image included)
Answer:
384 ft²
Step-by-step explanation:
12x16x2=384
math come help plese
Answer:
74
Step-by-step explanation:
18, 12, 8, ...
Find the 10th term.
Answer:
-24
Step-by-step explanation:
18, 12, 8, 4, 0, -4, -8, -12, -18, -24
You are going down by 4 so by the time you get to the 10th term it will be a negative.
What's greater? 18% or 11/55?
Answer:
11/55
Step-by-step explanation:
11/55 = 20%
18% = 18%
Answer:
11/55 is greater
Step-by-step explanation:
18% is less because divided by 100 it will be 0.18 and if you multiply 11/55 the answer is 0.20
The field where Marisol plays soccer is a rectangle 100 yards long and 60 yards wide. What is the perimeter of the soccer field?
100x600=60000..............................
Answer:
320 yards long
Step-by-step explanation:
(100x2) + (60x2) = P
P = 200 + 120
P = 320 yards.
i feel like i have the answer, i’m just not sure and need someone else to help me so i can check it.
Answer:
5
Step-by-step explanation:
2/6=x/15
cross multiply
6x=30
x=5
Alexis is going to Vegas for the weekend! She decides to try her hand at a new game that Casino QuickCash is promoting. For this game, you pay $6 to play. A dealer shuffles and then randomly draws a card from a standard deck of 52 cards. If the card drawn is a diamond, Alexis wins nothing. If the card drawn is an even-numbered card (2,4,6,8, or 10) from the remaining three decks, Alexis wins $8. Otherwise, Alexis wins $12. a) Alexis's expected winnings per game is (rounded to the nearest cent):
Answer:
$10.46
Step-by-step explanation:
Amount that can be won by Alexis ( xi ) = $0, $8 , $12
probability ( pi )
P( $0 ) = 13 / 52 = 1 / 4
P( $8 ) = 15 / 39 ( given that she wins this when an even number is drawn from three remaining decks )
P ( $12 ) = 1 - 15/39 = 24 / 39
a) Alexis expected winnings per game
= ∑ xi * pi = ( 0 * 1/4 ) + ( 8 * 15/39 ) + ( 12 * 24 / 39 )
= $0 + ( 120 / 39 ) + ( 288 / 39 ) = $10.46