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.
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Where is J' after a reflection over the y-axis?
Answers
Answer:
J' (- 10, - 8 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (10, - 8 ) → J' (- 10, - 8 )
Answer:
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Hello, have a great day.
Answer:
85 1/3 pi cm3 I hope this helps.
PLEASE ONLY ANSWER IF YOU KNOW THE CORRECT ANSWER!! I APPRECIATE IT THANK YOUUUU
Which relation is a function
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Answer:
The 1st one on the right is a function
Answer:
Parabola Graph (top-right)
Step-by-step explanation:
A graph represents a function given that none of the x-coordinates have more than one corresponding y-coordinates. Consequently, if a graph contains two or more different points with the same x-coordinate, then that graph does not represent a function.
An easier way of finding out whether a graph represents a function is through the vertical line test. In order to perform the vertical-line test, imagine dragging a ruler held vertically across the graph from left to right. A graph is a function if the edge of the ruler crosses the graph only once for every x -value.
Out of all the given options, the graph of an upward-facing parabola represents a function (top-right graph), as each vertical line contains only one point. Please see the attachment, where I performed the vertical line test.
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Answer:
Step-by-step explanation:
Facts to know :
-diagonals of rhombus are angle bisector so angle A is double 28
∡A = 28*2 = 56°
-opposite angles in a rhombus are congruent so angle A and angle C have the same measure
∡C = 56°
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360 - 2*56 = 360-112 = 248
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What is the measure of ZPRQ?
P
O
A. 172°
1020
B. 70°
70"
s
C. 86°
D. 1020
Answers
Answer: should be 86°, not sure.
Step-by-step explanation:
HELP PLEASE
Acellus
Solve this system of equations by
using the elimination method.
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Answer:
(2, 2)Step-by-step explanation:
Add up the equations, it will eliminate x as variable:
3x + 6y - 3x + 4y = 18 + 210y = 20y = 2Find the value of x:
3x + 6*2 = 183x + 12 = 183x = 6x = 2Given : -
3x + 6y = 18 ... (1)-3x + 4y = 2 ... (2)To find : -
Solution x and y?Solution : -
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-3x + 4y = 2 +
10y = 20
y = 20/10 = 2[tex] \: [/tex]
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3x = 18 - 12
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(2 , 2)a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the perimeter of the base cna sum to no more than 108 in. what is the maximum colume for such a box
Answers
The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].
The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:
volume = length x width x height
= area x height
Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.
Then;
4l + h = 108
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So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200 [tex]in^{3}[/tex]
The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].
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Answers
Answer:
c=20
Step-by-step explanation:
Use Pythagorean Theorem.
a squared plus b squared equals c squared.
12^2 + 16^2 = c^2
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c = [tex]\sqrt{(12^2+16^2)}[/tex]
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Answers
Answer:
Its the Denominator. Hope I helped please mark brainliest if you can and thanks! <3
Step-by-step explanation:
Answer:
21
Step-by-step explanation
OUI BONSEIUR
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Answer:
Step-by-step explanation:
3/5 = 0.6
0.6> 0.2
1/2 = 0.5
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2/10 = 0.2
0.2 > 0.152
8) What are the measures of angles x, y, and z?
Answers
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Answer:
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Step-by-step explanation:
Blue car:
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Red car:
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Step-by-step explanation:
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Step-by-step explanation:
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(Show steps please)
Answers
Answer:
H=21ft
Step-by-step explanation:
Height=2•Area/Base
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Question 10(Multiple Choice Worth 1 points)
(01.05 MC)
Which number line best shows the position of 13?
J3
ht
-4
-3
- 2
-1
0
1
3
2
4
13
-4
-3
- 2
.
-1
0
1
2.
3
4
13
+
1
-3
-2
-4
-1
0
2.
3
4
13
+
3
-4
-3
-1
0
1
2
4
Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer: 3 cups of flour
Step-by-step explanation:
Can someone please give me the (Answers) to this? ... please ...
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() [tex]\frac{2}{5}[/tex]
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() [tex]\frac{9}{-2}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
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Answers
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greatest possible area: 33800ft^2
basically get the equations for area and perimeter which will be
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P: l + 2w
Substitute them into eachother and you get the equation:
-2w^2+520w = A
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Lee is creating a garden with the dimensions shown.
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He creates paths through the garden along Line segment A B, Line segment X Y, and Line segment Z Y. Which correctly compares the lengths of the paths?
The path along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B.
The path along Line segment A B is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment X Y.
The path along Line segment Z Y is longer than the path along Line segment X Y, and the path along Line segment X Y is longer than the path along Line segment A B.
The path along Line segment Z Y is longer than the path along Line segment A B, and the path along Line segment A B is longer than the path along Line segment X Y.
Mark this and return
Answers
identify if the graph represents quadratic function
Answers
Answer:
Graph #2 for sure, both axis are linear and the curve is a parabola all right.
On graph #1: I can't for the life of me read the units on the Y axis, so you have to check: if they're going 2000 4000 6000, then that is a parabola as wel. If they're increasing esponentially, ie 2000 4000 8000, then one of the two axis is logarithmical and the curve is no longer quadratic.
change 0.04608 to standard form
Answers
Answer:
Step-by-step explanation:
Shift deciaml point on right side before a non zero number which is 4:
=4.608×10^-2
1 minute is equal to 60 seconds. How many seconds are in 4 minutes, 14 seconds?
Answers
Answer:
254 seconds
Step-by-step explanation:
If 1 minute = 60 second
then
60 x 4 = 240 second
then add 14
240 + 14 = 254
Therefore, there are 254 second in 4 minutes and 14 seconds
60•4+14
240+14 = 254
Therefore, there is 254 seconds total.
Feel free to give Brainliest!
300
O
3) What is the value of x?
69'
7090
7100
3D
Answers
Answer:
71°
Step-by-step explanation:
exterior angle = sum of two opposite interior angle
142°=2x°
x°=142°/2
x°=71°.
hope this helps you.
y = 147° ( Vertically opposite angles)
[tex]y + x + x = 180° \\ 147 + 2x = 180° \\ 2x = 180 - 147 \\ 2x = 33 \\ x = \frac{33}{2} \\ x = 16.5[/tex]
What is the domain of the relation?
Answers
Answer:
Domain: 3, 6, 8, 9, 7
Step-by-step explanation:
Domain: 3, 6, 8, 9, 7
(Domain, Range)
The domain of a function or relation is the set of all possible independent values the relation can take.
Hope this helps :)
Answer:
Domain: {3, 6, 8, 9, 7}
Step-by-step explanation:
A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:
Domain: {3, 6, 8, 9, 7}.
A chessboard has 8 rows of squares with 8 squares in each row . Two players each put 16 chess pieces on the board , with each piece on its own square. How many squares are empty now? Explain your answer.
Answers
Answer:
40
Step-by-step explanation:
8x8 if 56 - 16 = 40
got the picture since copying wont work
Answers
8x^6
Because 4x2=8
And simply add the exponents together
3+3=6
STEP1:
Equation at the end of step 1
(2²x³• 2) • x³
STEP2:
Multiplying exponents:
2.1 2² multiplied by 2¹ = [tex]2 {}^{(2 + 1)} [/tex] = 2³
Equation at the end of step2:
2³x³ • x³
STEP3:
Multiplying exponential expressions :
3.1 x³ multiplied by x³ = [tex] {x}^{(3 + 3)} [/tex] = x⁶
Final result :
2³x⁶