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.
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
g(x)=-4x+1;{-5, -1, 0, 2, 10}
Answer:G(-5)=21, G(-1)=5 G(0)=1 G(2)=-7 G(10)=-39
Step-by-step explanation:
1. What is the range of the function y = 2x-3 when the
domain is {-1, 0,5}?
y=2x-3
2x-3
2(-1)-3=-5
An electronics retailer sells a washing machine at cost price (how much the retailer paid for it) of $400 with a profit of 20%. What price does the customer pay?
Answer:
$480
Step-by-step explanation:
400 × .20 = 80
the retailer got an extra 20% or $80 for the machine.
$400 + $80 = $480
The customer paid $480 for the washing machine.
Question 4 options:
The area of a rectangle is 65 square inches.
The length is x + 5, and the width is x – 3.
Find the value of x, and the dimensions of the rectangle.
A=lw
I. The value of x is equal to 8.
II. The dimensions of the rectangle are 13 and 5 inches respectively.
Given the following data:
Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inchesTo find the value of x, and the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula:
[tex]A = LW[/tex]
Substituting the values, we have:
[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]
x = 8 or x = -10
For the length:
when x = 8
[tex]Length = 8 +5[/tex]
Length = 13 inches.
For the width:
when x = 8
[tex]Length = 8 -3[/tex]
Length = 5 inches.
Find more information: https://brainly.com/question/11037225
Find the values of x and y.
Answer:
x= 38
y= 71
Step-by-step explanation:
The triangle shown in the figure is an isosceles triangle, a triangle having two sides equal.
The two sides marked with a "dash" are said to be equal.
STEP I:If we label off the triangle as ABC with AD being the extended length (containing 108°).
We'll get,
AB = AC
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP II:*Property*
"If two sides of a triangle are equal their corresponding base angles are equal too."
=> ∠BAC = ∠BCA . . . . (¡)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP III:From the figure, ∠BCA is equal to y.
*Property*
"Two angles on a straight line sum up to 180°"
∠BAC can be found out by subtracting 109° from the straight angle (180°).
=> ∠BAC = 180 - 109
=> ∠BAC = 71°
Substituting these values in eqn. (¡):
71 = y
Hence, the value of y is 71°
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP IV:*Property*
"The exterior angle(angle on the extended side) of a triangle is equal to the sum of it's interior opposite angles."
Here,
Interior angles = x and y (= 71)Exterior Angle = 109°=> 109 = x + 71
=> 109 - 71 = x
=> x = 38°
Hence, the value of x is 38°.
FIND THE ERROR Fern is finding the slope of the line that passes through (-2, 8) and (4. 6). Determine in which step she made an error. Ex
Answer:
Step 1, she reversed the values of x. It should have been 4 - (-2) not -2 - 4.
Step-by-step explanation:
Fern made a mistake in writing equation [1] where she wrote {-2 - 4} in the denominator in place of {4 -(-2)}.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept
Given is Fern who is finding the slope of the line that passes through (-2, 8) and (4, 6).
In order to find the slope of the line, the following formula is used -
m = (y₂ - y₁)/(x₂ - x₁)
So, the slope of the line passing through the given points can be calculated using the following steps -
m = (6 - 8)/{4 -(-2)} ..[1]
m = -2/6
m = -1/3
Fern made mistake in writing equation [1]. She should have written
{4 -(-2)} in the denominator in place of {-2 - 4}
Therefore, fern made a mistake in writing equation [1] where she wrote {-2 - 4} in the denominator in place of {4 -(-2)}.
To solve more questions on straight lines, visit the link below-
https://brainly.com/question/11919806
#SPJ5
What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?
Step-by-step explanation:
Red taxi : y = 2x + 2
Green taxi : y = x + 5
Y are the costs of a ride, X are the miles of a ride.
The y-intercepts are the cost of just getting into a cab.
So, that is $2 for a red cab and $5 for a green cab.
Every mile with a red cab costs $2, while every mile with a green cab costs $1.
Hope this helps :)
How to do multiplication large numbers.
Answer:
The main reason to know the multiplication table is so you can more easily multiply larger numbers. For example, suppose you want to multiply 53 x 7. Start by stacking these numbers on top of another, aligning the ones place. Draw a line underneath, and then multiply 3 by 7. Because 3 x 7 = 21, write down the ones digit (1) and carry the tens digit (2) to the tens column:
Next, multiply 5 by 7. This time, 5 x 7 = 35. But you also need to add the 2 that you carried over, which makes the result 37. Because 5 and 7 are the last numbers to multiply, you don’t have to carry, so write down the 37 — you find that 53 x 7 = 371:
When multiplying larger numbers, the idea is similar. For example, suppose you want to multiply 53 by 47. Be sure to align the stacked numbers by the ones place. (The first few steps — multiplying by the 7 in 47 — are the same, so pick up the next step.) Now you’re ready to multiply by the 4 in 47. But remember that this 4 is in the tens column, so it really means 40. So to begin, put a 0 directly under the 1 in 371:
This 0 acts as a placeholder so that this row is aligned properly.
When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying by the hundreds digit
a Members of a soccer team raised $1530.50 to go to a tournament. They rented a bus for $1164.50 and budgeted $30.50 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
The number of players that can be taken to the tournament is 12 players.
The equation that can be used to represent the total amount spent by the soccer team is:
Total amount spent = cost of rented bus + (cost per meal x total number of players)
$1530.50 = $1164.50 + $30.50x
Where: x = total number of player
In order to determine the value of x, the following steps would be taken:
Combine similar terms
$1530.50 - $1164.50 = $30.50x
$366 = $30.50x
Divide both sides of the equation by 30.50
x = $366 / $30.50
x = 12 players
A similar question was answered here: https://brainly.com/question/22358515
simplify |-4/5-1/10| + |-3/4+5/2|
Answer:
2 13/20
Step-by-step explanation:
53/20
Simplify
2 13/20
1\4-2\5
plese help and thank
you
Answer:
3/20
Step-by-step explanation:
3/20 I sure, Just trying this one
. Which angle is included between the sides MN & OM of AMNO
quick pleaseeee
A family of four drove to Disney World: It took 12 hours to get there. Parking was $15. The total cost of parking and admission was $195. How much was each ticket?
(7+7b)+(-2+8c)+(1+5d)
Answer: 7b + 8c + 5d + 6
Step-by-step explanation:
1) (7+7b)+(-2+8c)+(1+5d)
combine like terms (starts with the ones with variables)
2) 7b + 8c + 5d
now all you need to do is add the numbers without variables
3) 7b + 8c + 5d + (7 + -2 + 1)
4) 7b + 8c + 5d + 6
y+7=2(x+5) in standard form
Answer:
[tex]2x-y=-3[/tex]
Step-by-step explanation:
[tex]\mathrm{The\: standard\: form\: of\: a \:linear \:equation \:is}:\mathrm{A}x+\mathrm{B}y=\mathrm{C.}[/tex]
[tex]\underline{\sf{Solve\:for\:}y}:[/tex]
[tex]y+7=2(x+5)[/tex]
[tex]=y+7=2x+2\cdot5[/tex]
[tex]= y+7=2x+10[/tex]
[tex]=(y+7)+(-7)=(2x+10)+(-7)[/tex]
[tex]=y+7-7=2x+10-7[/tex]
[tex]\underline{y=2x+3}[/tex]
I need helpppp with 1-9
An Apple Watch was marked down 1/9 of the original price. If the sales price was $224 what is the original price?
Answer:
ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252
Hope This Helps!!!
Marked down 1/9 means it sold for 8/9 of the original price.
Divide the sale price by 8/9:
224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252
The original price was $252
Find the perimeter. Simplify the answer.
Answer:
4u
Step-by-step explanation:
add up all the sides: u+u+u+u=4u
Distribution property of-6(9-9n)
Answer:
you multiply the -6 by whats in the parenthesis. so it would be -54, and 54n. Because two negatives make a positive
Hope this helped!
Step-by-step explanation:
Write the unit fraction depicted in the model as a percent.
One-fourth =
Answer:
Step-by-step explanation:
= 1/4*100
= 1*25
= 25%
• Answer is 25%.
14. At a local fruit stand, Luisa spends $5.25 for 2 pounds of strawberries. At this rate, how much can she expect to pay for 3.5 pounds of strawberries? (round to the nearest hundredt
h) Proportion Answer
What is the ratio of apples to bananas?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
3 :4
Answer:
a
Step-by-step explanation:
it has the same a prime bundle
the Greatest Common Factor of 24, 36 and 50
Answer:
2
Step-by-step explanation:
they all share a factor of 2
HELPPPPP ASAP!!!! I’m on a limit
Answer:
look at the photo.........100 POINTS! Select the correct answer.
Which system of equations is represented by this graph?
Answer:
A
Step-by-step explanation:
Remember, the equation of slope-intercept is y=mx+b
We see that for A, that the first equation's slope is -2/3. That means we are going to move down two and left five. The reason why we are going down is that the slope is negative. We also know that our y-intercept is -4. So we first plot the point (0,-4). Then we move down two and left five. We apply the same knowledge with the second equation. When we plot both equations, we get the same exact graph as the picture.
you're so cool! I hope you have an awesome day!
Answer:
The functions each have a positive Slope
a.)True, False
Step-by-step explanation:
Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4
Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2
These are both positive but 4 does not equal 2
a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0
When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.
Hope this helps and makes you have an Awesome Day!
Explain how you know when you can factor to solve quadratics as opposed to using the square root method
Answer:
If there's a common factor, divide both sides of the equation by that number to simplify the situation. If b = 0 (no bx term), go to the square root method. (if c is positive, there are no solutions). If c = 0, then one of your solutions is x = 0
Step-by-step explanation:
hope this helps!!!!
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Chloe's birthday.
Answer:
3 chocolates each night
Step-by-step explanation:
C-3
t-1
find x if 2^x=8^3x-8
Step-by-step explanation:
First we have to same the bases.
As we know 8=2^3.
Replace 8 with 2^3.
Like this .
2^3x=2^3(2x+1).
Now 3x=3(2x+1) distribute 3 by the Barker.
3x=6x+3.
6x+3=3x.
6x-3x=-3.
3x=-3.
X=-1.