HELP PLS! Suppose the year of car accidents per day in Wilmington NC has been recorded for the past year. The table below is a probability distribution table representing the data collected.
1) what is the probability that on a randomly selected day there were no accidents?
2) find the probability there will be at least 2 accidents
3) on any given day how many accidents should the Wilmington police expect to have.
Answers
According to the discrete distribution given:
1) There is a 0.18 = 18% probability that on a randomly selected day there were no accidents.
2) There is a 0.7 = 70% probability that there will be at least 2 accidents.
3) On any given day, the Wilmington police should expect to have 2.03 accidents.
The distribution is:
[tex]P(X = 0) = x[/tex]
[tex]P(X = 1) = 0.12[/tex]
[tex]P(X = 2) = 0.32[/tex]
[tex]P(X = 3) = 0.25[/tex]
[tex]P(X = 4) = 0.13[/tex]
Item 1:
The sum of the probabilities has to be 100% = 1, hence:
[tex]x + 0.12 + 0.32 + 0.25 + 0.13 = 1[/tex]
[tex]x + 0.82 = 1[/tex]
[tex]x = 0.18[/tex]
0.18 = 18% probability that on a randomly selected day there were no accidents.
Item 2:
This probability is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.32 + 0.25 + 0.13 = 0.7[/tex]
0.7 = 70% probability that there will be at least 2 accidents.
Item 3:
The expected value is the sum of each outcome multiplied by it's respective probability, hence:
[tex]E(X) = 0.18(0) + 0.12(1) + 0.32(2) + 0.25(3) + 0.13(4) = 2.03[/tex]
On any given day, the Wilmington police should expect to have 2.03 accidents.
A similar problem is given at https://brainly.com/question/25653146
Related Questions
question number fifteen
Answers
Answer:
d. EDC
Step-by-step explanation:
if you mirror the triangle ABC, it fits perfectly with triangle EDC
Find an equation for this line?
Answers
Answer:
y = -20/5 or -4/1 + 20 for the equation
pls help asap MIDSEGMENTS
Answers
Answer:
yyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Find the y-intercept and the vertex of y+-x^2+6x-8 using standard form
Answers
Answer:
-x^2+y+6x-8
hope this helps
40 POINTSSS PLEASE HELPP!!
2. Use the following statement to answer ALL three parts of the question.
Statement: If two lines do not intersect, then they are parallel.
(a) Write the inverse of the statement. Is the inverse true or false? Explain your reasoning.
(b) Write the converse of the statement. Is the converse true or false? Explain your reasoning.
(c) Write the contrapositive of the statement. Is the contrapositive true or false? Explain your reasoning.
Answers
b) Converse means to engage or explain, I think…so, the converse of the statement would be that yes, it is true that when two lines do not intercept then they are parallel. Because parallel lines never cross or meet, meaning they will NEVER ever have a crossing point.
c) the contrapositive of the statement would be: if two lines do not cross then they are parallel. If they do intercept, then they are not parallel. As simple as that. I think contrapositive means that…I looked what contrapositive means…so I think I’m right.
I hope this helps!! Or some at least. :)
Good luck!
what would be 8/1 x 1/2
Answers
Answer:
4.
Step-by-step explanation:
8*1 / 1*2
= 8/2
= 4.
[tex]8\times \dfrac 12 = 4[/tex]
plz help me fast Simplify t12/t6
Answers
Answer:
t^6
Step-by-step explanation:
when dividing exponents, you subtract (refer to exponent rule)
t^12 - t^6 = t^6
a rectangular park is 45m long and 30m wide.A path is 2.5 on constructed outside the park find the area of the park
Answers
Answer: 1350 m²
Step-by-step explanation:
30 m x 45 m = 1350 m²
Jill is buying a cookie kit to decorate cookies for her children during the holiday break. She will pay $2.50 per cookie and a $4 service fee. Which equation can be used to find y, the total cost to buy x cookies?
Answers
Answer:
4 + 2.5x=cost
Step-by-step explanation:
Write an equation for each line in slope-intercept form.
Answers
Answer:
Line 1 : y = -2x - 5
Line 2 : y = -3x + 3
Step-by-step explanation:
note the slope, and then note the y intercept
Answer:
y = - 2x - 5 and y = - 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = - 2, - 1) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line
m = [tex]\frac{-5-(-1)}{0-(-2)}[/tex] = [tex]\frac{x- 5+1}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = - 2x - 5 ← equation of line 1
Repeat with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 0) ← 2 points on line 2
m = [tex]\frac{0-3}{1-0}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 3x + 3 ← equation of Line 2
4.
Graph the equation 3x – 2y = -4.
Answers
2y=3x+4
(NOW DIVIDE BY 2 , TO MAKE Y ALONE)
Final answer is : Y = 3/2x + 2
A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.
Answers
The equation of the car rental company in the form y = kx is; y = 18.50x
The equation y = kx is such that;
y = dependent variablex = independent variablek = constant of proportionality.In essence; to determine the constant of proportionality, k in this case;
k = y/xSince the company charges, $55.50 for 3 days; we have;
By evaluation k = $55.50/3
k = 18.50.A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant
Read more:
https://brainly.com/question/19012756
If there are 1000 grams in a kg and 455 grabs in a pound, how many pounds are there per kg
Answers
Answer:
The answer is 0.45359237.
Step-by-step explanation:
I assume you are converting between kilogram and pound.
Answer:
2.20462
Step-by-step explanation:
1000 / 455 = 2.20462
solve for x. -2(-4+3)-8=2(2+x)
Answers
Answer:
x = − 5
Step-by-step explanation:
Answer:
x=-5
Step-by-step explanation:
-2(-4+3)-8=2(2+x)
8-6-8=4+2x
2x=8-6-8-4
2x=-10
x=5
Ms. Adam drives 150% of Mr. Gilbert’s distance. How far does Ms. Adam drive?
Answers
Answer:
first tell how far does Mr. Gilbert drive???
Mr. Gilbert drives 8 miles. Ms. Adam drives 150% the distance.
Start by dividing the percent by 100 to find the multiple. 150/100 is 1.5. Now multiply 1.5 times 8 to find the distance travelled. 8 * 1.5 = 12. Another way to think of 1.5 is (1 x 8) + (.5 x 8) = (8 + 4) = 12
I hope this helps! :)
helpppp meeee mateeee
Answers
No, Yes, No, No
-6 = (w/9) - 1
add 1 both side
-5 = w/9
multiply 9 by both sides
w = -45
Answer:
I'm pretty sure -45 is the only answer out of all of those.
Can I get some help with these questions?
Answers
Answer:
For the first question its X=110 For the second question angle AEF is 75 degrees and for angle ADF is 105 degrees
Step-by-step explanation:
the total angle is 150 so take 4+22 and you get 26 then add 6+8 and you get 14 add 26+14 and you get 40 do 150-40 and you get 110 therefore x=110
what is the answer??????
Answers
Answer:
15 percent
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION!!
A military clock has the numbers 1 through 24 evenly spaced around a circular face. What number is directly across from 19?
Answers
Answer:
7
Step-by-step explanation:
On a military clock the difference between a number and it's opposite is always 12
19 - x = 12
19 - 12 = x
7 = x
The number directly across from 19 on a military clock is 17.
How to determine the number directly across from 19 on a militaryTo find the number directly across from 19 on a military clock, we can subtract 19 from 12 since the clock face is circular with 24 numbers evenly spaced.
12 - 19 = -7
Since we have a negative result, we need to add 24 to it to bring it back into the range of numbers on the clock face.
-7 + 24 = 17
Therefore, the number directly across from 19 on a military clock is 17.
Learn more about word problems at https://brainly.com/question/21405634
#SPJ2
a,√361/529 b,√240 c,√72
Answers
Answer:
a. 19/28 or .826.
b. 4 times √15 or 15.492
c. 6 times √2 or 8.485
Step-by-step explanation:
Please help me solve this.
Answers
Answer:
63
Step-by-step explanation:
Which sequence shows the numbers in order from least to
greatest?
OA) -2.45 x 102, 193, 6.987
OB) 6.987, -2.45 x 102, 793
OC) V93, 6.987, -2.45 x 102
OD) -2.45 x 102, 6.987, 793
Answers
Answer:
D
Step-by-step explanation:
Just did it
A rectangular pipe flowing full has the following cross-sectional dimensions Width: 6 m Height: 9 m Find the pipe's hydraulic radius in meters
Answers
What is 2(-2) raised to the power of 3 - 6x?
Answers
Answer: -2 * (3x + 8)
Would appreciate brainly <3
Which rational exponent represents a cube root?
A.
O B. 11
o
C.
N-
O D.
14
Answers
The interval (-1, 1) is best described as
Answers
Answer: There's an increasing interval between -1 and 1
While x goes from -1 to 1, the value of y increases (from -2 to 2).
Assume that lines which appear to be tangent are tangent.
Find the value of the?
Answers
Answer:
12
Step-by-step explanation:
Assume that lines which appear to be tangent are tangent.
Therefor this is a right triangle.
Use the pythagorean theorem
c^2 = a^2 + b^2
15^2 = ?^2 + 9^2
225 = ?^2 + 81
subtract 81 from both sides
144 = ?^2
Take the square root of both sides
12 = ?
9514 1404 393
Answer:
? = 12
Step-by-step explanation:
The tangent makes a right angle with the radius at the point of tangency. That means the Pythagorean theorem can be used to find the missing length.
?² +9² = 12²
?² = 225 -81 = 144
? = √144 = 12
The value of ? is 12.
__
Additional comment
When you see a right triangle with the ratio of hypotenuse to leg of 15:9 = 5:3, you know immediately that it is a multiple of a 3:4:5 right triangle. Here, the scale factor is 3, so the missing side is 3×4 = 12.
−5 + 6 × 5/2 + 56 ÷ ( −8 )
Answers
Answer:
3
Step-by-step explanation:
Solve for the value of K
Answers
Answer:
k = 5
Step-by-step explanation:
The straight angle is 180º
The right angle is 90º
Therefor
(8k + 1) + 90 + 49 = 180
combine like terms
8k + 140 = 180
Subtract 140 from both sides
8k = 40
Divide both sides by 8
k = 5
Answer:
16.25
Step-by-step explanation:
Option A: 40 trash bags for $6.29 Option B: 24 trash bags for $3.89
Which is the better option. Explain step by step-by-step.
Answers
Step by step:
I divided 40/6.29 and got about 6.3.
I divided 24/3.89 and got about 6.1.
Which is less, 6.3 or 6.1?
If you said 6.1 you are correct, so option B has a less cost, making it a better option.