3 A of ch 75 -5 A study of traffic patterns in a large city shows that if the weather is rainy, there is a 50% chance of an automobile accident occurring during the morning commute. If the weather is clear, the chance of an accident is reduced to 25%. Suppose the weather forecast for tomorrow predicts a 75% chance of rain. Draw a tree diagram based on the information in the work space. (Level 4) Show Your Work US be A of ch
Answers
Solution
We can create the solution with the following tree diagram:
Part 2
For this case we want this probability:
P(rain and accident)
And we can do this operation:
P(rain and accident) = 0.75 *0.5 = 0.375
Part 3
For this case we want this probability:
P( no rain and accident)
And we can do this operation:
P(no rain and accident) = 0.25 *0.25 = 0.0625
Part 4
P(Accident) = 0.5*0.75 + 0.25*0.25= 0.4375
Related Questions
Which expression is equivalent to the fraction below?
2/5
A. 2.2
B. 5.5
C. 5.2
D. 2.5
E. 2+5
F. 2 ÷ 5
Answers
Answer:F
Step-by-step explanation:
2/5=2 ÷ 5=0.4
Question content area top
Part 1
A ramp forms the angles shown to the right. What are the values of a and b?
Answers
Answer:
A=151
B= 29
Step-by-step explanation:
Please can someone answer this question it would be much appreciated
Thanks so much :)
Answers
Answer:
Step-by-step explanation:
1.5x - 0.25y + 3.5x - 0.75y
Answers
Answer:
5x-1y
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. (1.5x+3.5x)-(0.25y+0.75y)
2. 5x-y
3. The answer is 5x-y.
8 squares and 10 triangles. What is the simplest ratio
Answers
The ratio for 8 squares and 10 triangles is 4:5.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.
A/B will be the formula if one is comparing one data point (A) to another data point (B).
In this case, the ratio for 8 squares and 10 triangles will be:
= Number of square / Number of triangle
= 8/10
= 4/5
The ratio is 4:5.
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i need help on this math assignment
Answers
Answer: 3rd one is correct
Step-by-step explanation: got it right on the test
Which relation is NOT a function?*I am going to send you my answer choices *
Answers
th first pic is not a function because a function dont have to values for the same x
the second pic is a function because each value of x has a different result
the third pic is a function because each value of x has a different result
so the first relation is not a function
3.13 Which triangle congruence postulate or theorem proves that these triangles are congruent?
Answers
The triangle congruence postulate which proves that these triangle are congruent is SAS (Side Angle Side).
According to the SAS Postulate,
Two triangles are said to be congruent if their two sides and included angles are identical to those of another triangle's two sides and included angle.
According to the figures of the triangles, we can see
AC = XZ (Side)
∠ACB = ∠XZY (Angle)
BC = YZ (Side)
Hence, ΔABC ≅ ΔXYZ by SAS postulate.
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The graph of FX), shown below, has the same shape as the graph ofG(X) = x2, but it is shifted to the left 3 units. What is its equation?FX) ----A. F(x) = x² + 3B. FX) = (x - 3)2C. FX) = x2.3D. Rx) = (x + 3)?
Answers
We can represent the horizontal shift of a quadratic equation by adding or subtracting the constant h to the function
[tex]\begin{gathered} f(x)=a(x-h)^2+k \\ \text{where} \\ h\text{ is the horizontal shift} \end{gathered}[/tex][tex]\begin{gathered} \text{The function }f(x)\text{ has a default values of} \\ a=1 \\ h=0 \\ k=0 \\ \\ \text{A shift to the left of 3 units means that we will have }h=-3\text{ that means} \\ \\ F(x)=(x-(-3))^2 \\ \\ \text{Simplify},\text{ and we get} \\ F(x)=(x+3)^2 \end{gathered}[/tex]How do you answer this? I am so confused! Please help me
Answers
The coordinates of a slope triangle that could be on the line shown include
8) (10, 13), 15. 1) and (5, 4)C) (5, 4), (10, 4), and (10, 7)What is slope triangle?A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope.
The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The slope formula's "rise" and "run" values are the two "legs" of the triangle.
With this idea, the slope triangle is drawn and the image is attached.
The coordinates should be able to form a right triangle which is used in slope calculation
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Round 7605 to the nearest hundred.
Answers
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
In this case, Rule B applies and 7605 rounded to the nearest hundred is:
7600
Answer:
Your answer would be 7,600.
Step-by-step explanation:
7,605 rounded to the nearest hundred would be 7,600 because:
The 7 is the thousands.
The 6 is the hundreds.
The 0 is the tens
The 5 is the ones.
So, we need to find which number makes sense to round. Is 605 closer to 600 or 700? 600. So, we have: 7,600
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
What is the answer to this problem?
Answers
Answer:
see explanation
Step-by-step explanation:
solving the inequality
3 ≤ 4x - 13 ≤ 7 ( add 13 to each interval )
16 ≤ 4x ≤ 20 ( divide each interval by 4 )
4 ≤ x ≤ 5
the solution lies between 4 and 5 and can be equal to 4 and 5
this is indicated on Graph A
154= -4(8+6r)+24r I want to know the answer
Answers
The equation 154 = -4(8+6r) + 24r has no solution because the variable becomes 0.
How to solve equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
We have to find the variable r of the equation to solve the equation.
A variable is a number represented with letters in an equation.
Therefore, let's find the variable r in the equation.
154 = -4(8+6r) + 24r
open the brackets on the right side of the equation
154 = - 32 - 24r + 24r
154 = -32 + 0
Therefore, the equation cannot be solved.
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Solve the following equationX-3(x+2)=4 X - 3 ( x + 2 ) = 4
Answers
Given: X-3(x+2)=4X-3(x+2)=4
Find: the solution of the given equation
Explanation:
[tex]\begin{gathered} X-3(x+2)=4 \\ X-3x-6=4 \\ X-3x=10......................(1) \\ 4X-3(x+2)=4 \\ 4X-3x-6=4 \\ 4X-3x=10...........................(2)\text{ } \end{gathered}[/tex]on solving equation (1) and (2) , we get
Answer:
x = -5
Step-by-step explanation:
Solve for 'x':x - 3(x + 2)= 4
x - 3x - 3*2 = 4 {Distributive property}
x - 3x - 6 = 4
Combine like terms in LHS,
-2x - 6 = 4
Add 6 to both sides,
-2x = 4 + 6
-2x = 10
Divide both sides by (-2)
x = 10 ÷ (-2)
[tex]\sf \boxed{x= -5}[/tex]
Solve two and one-third times four-fifths equals blank.
four-sixths
one and twelve-fifteenths
one and thirteen-fifteenths
four and four-sixths
Answers
The solution to the fraction two and one-third times four-fifths equals one and thirteen-fifteenths.
The correct answer option is option C
How to solve the product of a fraction?A fraction refers to a part of a whole, especially a comparatively small part. It is also the ratio of two numbers, the numerator and the denominator, usually written as one above the other and separated by a horizontal bar.
A numerator is the number above the horizontal bar while the denominator is the number below the horizontal bar in a fraction.
Two and one-third times four-fifths
= 2 1/3 × 4/5
= 7/3 × 4/5
= (7 × 4) / (3 × 5)
= 28 / 15
= 1 13/15
Therefore, the fraction two and one-third times four-fifths equals one and thirteen-fifteenths.
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Harold filled his swimming pool over the weekend. The pool has a capacity of 540 gallons. Harold put in 180 gallons of water on Saturday. The garden hose that Harold used supplies 9 gallons of water per minute. How long did it take for Harold to fill the pool to capacity on Sunday? Define a variable for the unknown quantity. Write and solve an equation to answer the question.
Answers
Pool Capacity = 540 gallons
Saturday = 180 gallons
Hose water rate = 9 gallons per minute
540 = 180+9m
Where m is the number of minutes (independent variable)
Solve for m :
540-180 = 9m
360 = 9m
360/9= m
40 =m
It will take 40 minutes.
Suppose that you borrow $15,000 for 4 years at 5% toward the purchase of your car. use pmt to find the monthly payments and the total interest for the loan
Answers
The formula for the monthly loan payment is given as
[tex]A\text{ = }P(\frac{r(1+r)^n}{(1+r)^n-1})[/tex]Where
P = loan amount ( initial principal) = $15000
A= Payment amount per period = ?
r = interest rate per period = (5/12) x (1/100) =0.0041667
n = total number of payments or periods = 4 years = 4 x 12 = 48 months
Substituting all these into the above equation gives
[tex]A\text{ =15000( }\frac{0.0041667(1+0.0041667)^{48}}{(1+0.0041667)^{48}-1})[/tex][tex]A\text{ = 15000(}\frac{0.0041667(1.0041667)^{48}}{(1.0041667)^{48}-1})[/tex][tex]\begin{gathered} A\text{ = }15000(\frac{0.0041667\text{ }\times1.2208973}{1.2208973\text{ - 1}}) \\ A=\text{ 15000(}\frac{0.005087112781}{0.2208973}) \end{gathered}[/tex][tex]\begin{gathered} A=15000(0.023029311) \\ A=\text{ \$345.4396759} \end{gathered}[/tex]So each month he pays $345.44 to the nearest cent
B)
The total interest for the loan is given by
Total amount paid over the total period of time - Original amount borrowed
Total amount paid over the total period of time = 345.44 x 48 months = $16581.12
The total interest of the loan hence = $16,581.12 - $15,000 = $1,581.12
The total loan interest to the nearest cent = $1,581.12
How many solutions does this equation have?
4v = -6 + 5v
no solution
one solution
infinitely many solutions
Submit
4
Answers
Answer:
One Solution
Step-by-step explanation:
v can only equal 6
Just think that there can be as many solutions as the highest power of the variable
Here it’s 1
Thus no of solutions is 1
(08.01 LC)Describe the process for calculating the volume of a cylinder. Usecomplete sentences. (10 points)
Answers
Volume of the cylinder = πr²h
see explanation below
Explanation:A cylinder comprises of two circles and a curved part.
To get the volume, we would multiply the area of the circle with the height of the cylinder
The height of the cylinder is the distance between the two circular ends
Area of a cirlce is pi multiplied by radius squared
Area of circle = π×r² = πr²
where r = radius
h = height of the cylinder
Volume of the cylinder becomes = πr² × h
Volume of the cylinder = πr²h
Which of the following values are in the domain of the function graphed below? Check all that apply. A. -4 B. -1 C. 4D. 0E. 5 F. -2
Answers
Checking the given graph, it can be seen that the range of values of x is
[tex]\begin{gathered} rangeofvaluesofx, \\ -2\leq x\leq4 \end{gathered}[/tex][tex]undefined[/tex]The range of values of x are the values of the domain of the graph function
A. -4; -4 does not satisfy the function of the graph
These two lines are parallel. Write an equation for each.
Answers
Answer:
Top: y = x
Bottom: y = 0.8x - 3.2
Step-by-step explanation:
I can see the question is asking to write the equation in Slope-Intercept form.
Slope-Intercept Form:
y = mx+b
M is the slope or how much the y value increases every time the x value increases by one. b is the y-intercept or when x=0.
Because these lines are parallel, we know they have the same form.
Lets look at the top line. When x increases by one, how much does y increase by?
1
What is the y value of when the line's x-value is 0?
0
Now, we have,
y = 1x + 0
Because adding 0 keeps the equation the same, we can remove it.
y = 1x
Because multiplying a term by 1 leaves it the same, we can remove one.
y = x
Now, for the bottom line.
How much does y increase by when x increases by 1? Because the slope will be a fraction and is not easy to see, I will use the slope formula.
Slope Formula:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
To find the slope, take any pair of points on the line and plug them in.
I'll use:
(0,-3.2)
(4,0)
Plug the y-values (the latter number, or the height of the point) into the formula. Do the same with the x-values. keep in mind it does not matter what y-value you plug in. For example, for [tex]y_2[/tex] and [tex]y_1[/tex] you can plug in -3.2 and 0 or vice versa. If you make [tex]y_2[/tex] -3.2, then make [tex]x_{2}[/tex] 0.
[tex]\frac{-3.2-0}{0-4}[/tex]
Simplify.
[tex]\frac{-3.2}{-4}[/tex]
Because a negative number multiplied or divided by another negative number is always a positive number, remove the negative signs.
[tex]\frac{3.2}{4}[/tex]
Divide.
3.2/4 = 0.8
Now we have m, the slope on the 2nd line, 0.8
y = 0.8x + b
What is the y-value of the line when the line has the x-value of 0? On the graph, it says -3.2.
y = 0.8x - 3.2
100 POINTS FOR THIS!!!
Answers
Answer: $5 for each vinyl,$4 for each CD,and $1 for each electronic download
Step-by-step explanation:
Answer:
$5 vinyl
$4 CD
$1 every electronic download
Step-by-step explanation:
good luck
The sum of 3 consecutive evennumbers add up to 1002. Find the threenumbers.
Answers
Let the three consecutive even number be,
x, x+2, x+4
Sum of the numbers is 1002.
[tex]\begin{gathered} x+x+2+x+4=1002 \\ 3x+6=1002 \\ 3x=996 \\ x=332 \end{gathered}[/tex]Hence, the numbers are,
332, 332+2, 332+4
Hence, the answer is 332, 334, 336.
Hello could you please help me on questions 2 and 4 I don't understand them?
Answers
Given:
2. (2, 4), slope 2
we will write the equation of the line that passes through the point (2, 4) and has slope = 2
We will write the equation of the line using the point-slope form which is:
[tex]y-k=m\cdot(x-h)[/tex]where (m) is the slope and the point (h, k)
so,
m = 2
h = 2
k = 4
So, the equation will be:
[tex]\begin{gathered} y-4=2(x-2) \\ y-4=2x-4 \\ y=2x \end{gathered}[/tex]so, the answer will be the equation of the line is:
[tex]y=2x[/tex]CHECK YOUR UNDERSTANDING
Nick writes a check to his friend James Sloan on May 11 for $150.32.
What should he write in the check register and what should the new
balance be?
Answers
Nick will write
Date i.e. 11/5/20XX, Description i.e. Pay James, Check Number i.e. 123, Debit i.e. $150.32, Balance i.e. $X - $150.32.
The New balance will be $X - $150.32, where $X is the previous balance.
Given, that Nick writes a check to his friend James Sloan for $150.32 on May 11.
Let suppose Nick had an 'X' amount in his bank account.
He will fill the check register like this
Date Description Check Number Debit Credit Balance
11/5/20XX $X
11/5/20XX Pay James 123 $150.32 $X-$150.32
Hence, Nick will write
Date i.e. 11/5/20XX
Description i.e. Pay James
Check Number i.e. 123
Debit i.e. $150.32
Balance i.e. $X - $150.32
The New balance will be $X - $150.32 i.e. $150.32 subtracted from the previous balance.
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FIND THE MISSING EXPONENT
x^ • x^3 = 1/x^2
Answers
Step-by-step explanation:
x^y × x^3 = 1/(x^2) = x^(-2)
that means
y + 3 = -2
y = -5
the missing exponent is -5
x^(-5) × x^3 = 1/(x^2)
Answer:
Step-by-step explanation:
Hi Ashley, this looks harder than it really is :)
recall your powers rules
so [tex]x^{2}[/tex] * [tex]x^{2}[/tex] = [tex]x^{2+2}[/tex]=[tex]x^{4}[/tex]
knowing that you can probably figure this out. But I'll help anyway
[tex]x^{?+3}[/tex] = 1 / [tex]x^{2}[/tex]
now flip over the fraction to make this even easier
[tex]x^{?+3}[/tex] = [tex]x^{-2}[/tex]
ohhhh I bet you can see it now, huh
we just need 3 plus something to equal -2
that's negative 5 , right???
[tex]x^{-5+3}[/tex] = [tex]x^{-2}[/tex]
ahh, nice , now just break it back up
[tex]x^{-5}[/tex] * [tex]x^{3}[/tex] = 1 / [tex]x^{2}[/tex]
got it???
What is the value of the missing exponent in the equation 652 : 10- = 0.652?
Answers
Given the following expression:
[tex]\frac{652}{10^{^-}}=0.652[/tex]notice that the right side of the equation has a decimal number that goes up to the thousandth, therefore, the missing exponent in the equation is 3, since:
[tex]\frac{652}{10^3}=\frac{652}{1000}=0.652[/tex]
Which of the following is the equation of the ellipse with a vertical major axis, center at (1, -3), a = 7, and b = 5?
Answers
The equation of the ellipse with a vertical major axis, center at (1, -3), a = 7, and b = 5 is; (x - 1)²/25 + (y + 3)²/49 = 1
What is the equation of the ellipse?The general format for equation of an ellipse with center (h, k) and vertical major axis is;
(x - h)²/b² + (y - k)²/a² = 1
We are given the following;
center at (1, -3)
a = 7
b = 5
Thus;
Equation of ellipse with given parameters is;
(x - 1)²/5² + (y + 3)²/7² = 1
This simplifies to;
(x - 1)²/25 + (y + 3)²/49 = 1
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A right circular cone with a radius of 3 cm has a slant height of 5 cm. A right cylinder with a radius of 4 cm has a height of 6 cm. What is the number of full cones of water needed to completely fill the cylinder with water?.
Answers
About 3 full cones of water are needed to be added to the cylinder to completely fill it.
The radius of the right circular cone is 3cm and the slant height is 5 cm.
The height of the cone can be found as,
H = √(5)²- (3)²
H = 4cm
The volume of the cone is given by,
V = πR²H/3
R is the radius and H is the height of the cone,
Putting values,
v = π x 5 x 5 x 4/3
v = 104.71 cm³
Now, the height h of cylinder is given to be 6 cm and the radius r of the cylinder is 4cm.
The volume of the cylinder is given as,
V = πr²h
V = π x 4 x 4 x 6
V = 301.59
Let us assume that we have to add n full cones of water to completely fill the cylinder, so, we can write,
nv = V
Putting values,
n104.71 = 301.59
n = 2.85
So, we have to add roughly three full cones of water to completely fill the cylinder.
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Avenger uses 9.4 pints of white paint and blue paint to paint her bedroom walls 4/5 of this amount is white paint in the breast is blue paint how many pints of blue paint did you use to paint her bedroom walls
Answers
Avenger uses 9.4 pints of white paint and blue paint to paint her bedroom walls 4/5 of this amount is white paint in the breast is blue paint how many pints of blue paint did you use to paint her bedroom walls
Let
x ----> pints of blue paint
y ----> pints of white paint
we have
x+y=9.4 -----> equation A
y=(4/5)*9.4
y=7.52
Find the value of x
x=9.4-y
x=9.4-7.52
x=1.88
therefore
answer is
1.88 pints of blue paint